The statement "the law of sines can be used to solve triangles where three sides are known" is false.
A triangle is a three-sided polygon, with each side representing a line segment connecting two vertices. To fully determine a triangle, we need to know at least three pieces of information about it, such as the lengths of its sides, or the measures of its angles.
The law of sines is a mathematical formula that relates the ratios of the lengths of the sides of a triangle to the angles opposite those sides. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all three sides of the triangle.
However, the law of sines cannot be used to solve a triangle if all three sides are known. To solve a triangle, we need to have additional information, such as the angles or some side-angle pairs. The law of sines can only be used to find missing side lengths or angle measures if we have at least one side length and one angle measure, or two side lengths and an angle not contained between them.
In conclusion, the statement "the law of sines can be used to solve triangles where three sides are known" is false. To solve a triangle, we need additional information in the form of angles or side-angle pairs.
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Please help, 50 points
Convert [tex]5^{\frac{2}{3} } x^{\frac{4}{3} } yz^{2}[/tex] to radical form
Answer:
[tex]5\cdot \sqrt{5}\cdot \sqrt[3]{x^4}\cdot y\cdot z^2[/tex] = [tex]5\cdot \sqrt{5}\cdot x\sqrt[3]{x}\cdot y\cdot z^2[/tex]
Step-by-step explanation:
Let's take the individual terms and convert them to radical form
[tex]5^{\frac{3}{2}} = (5^3)}^{\frac{1}{2}} = 125^{\frac{1}{2}[/tex]
A term raised to the power 1/2 is nothing but the square root of that term
[tex]125^{\frac{1}{2}} = \sqrt{125} = \sqrt{25\cdot 5} = \sqrt{25} \sqrt{5} = 5 \sqrt{5}[/tex]
[tex]x^{\frac{4}{3}} = (x^4)^{\frac{1}{3}} = \sqrt[3]{x^4}[/tex] since any term raised to 1/3 is the cube root of that term
We can simplify this further by noting [tex]x^4 = x^3 \cdot x[/tex]'
So [tex]\sqrt[3]{x^4} = \sqrt[3]{x^3} x = x\sqrt[3]{x}[/tex]
The other exponents are integers
Putting them all together we get
[tex]5^{\frac{3}{2} }x^{\frac{4}{3}}yz^2 = 5\cdot \sqrt{5}\cdot x\sqrt[3]{x}\cdot y\cdot z^2[/tex]
While online last week, you saw the following advertisement:
Shop at Impressive lonics!
The ions in our jewelry will balance your energy
and improve your health. Nine out of ten people
report significant improvement in the way they
feel within one week of wearing our jewelry.
SALE ENDS SATURDAY!
Which of the following is the most likely scientific explanation for why so
many people report improvement after wearing this jewelry?
A. The company paid actors to answer questions about the jewelry.
B. The ions in the jewelry change the electric field around the body,
improving blood flow.
OC. The ions in the jewelry improve energy flow through the body.
OD. Some people may feel improvement after a week because their
body is healing naturally, without help from the ions.
The most likely scientific explanation for improvement after wearing this jewelry was D. Some people may feel improvement after a week because their body is healing naturally, without help from the ions.
How to explain the improvement ?The placebo effect is the best scientific explanation for why so many people experience better after donning a particular piece of jewelry.
The placebo effect happens when users of a product claim to be experiencing physical or mental changes as a result of using it, despite the fact that the product itself lacks the ingredients necessary to produce these effects. The jewelry is acting as a placebo in this scenario.
After a week, some people may experience improvement as their bodies begin to recover on their own, without the aid of the ions.
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need some help asap with this khan
The graph does not represent a function, as it has vertically aligned points.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
On the function graph, a vertical line through the graph of the function would cross the graph twice for x > -4, meaning that there are inputs is mapped to two outputs, hence the relation is not a function.
This means that the correct option is given by option B.
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Ms. Lynette earns $19.50
an hour when she works overtime. She worked overtime twice this week. One day she worked 3
hours of overtime. Her total overtime pay for the week is $146.25
.
The equation to find the number of overtime hours worked on the second day is 19.5x = 87.75.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Earning of Lynette for one hour when she works overtime = $19.50
She worked overtime twice this week.
One day she worked 3 hours of overtime.
Earning on first day = 3 × $19.50 = $58.50
Total earnings for overtime = $146.25
Earnings on second day = $146.25 - $58.50 = $87.75
Let x be the number of hours worked overtime.
19.5x = 87.75
x = 4.5
Hence the required equation is 19.5x = 87.75.
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The function f(x)=log2(-x+3)-4 is graphed below. Plot all lattice points of the inverse. Use the labeled points as your guide.
The lattice point of the inverse is (3, 0).
How to determine the lattice pointsTo find the lattice points of the inverse of the function f(x), we need to find the points where both x and y are integers.
To find the inverse of the function, we switch the x and y values, then solve for y:
y = log2(-x + 3) - 4
x = log2(-y + 3) - 4
y = 3 - 2^(x + 4)
For x and y to be integers, both 2^x and - 2^(x + 4) must be integers.
This occurs when y is a positive integer and y <= 2, since 2^y becomes larger than 3 for y > 2.
Thus, the only lattice point of the inverse is (3, 0).
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find an equation of the plane passing through the three points given =(1,3,1), =(2,8,8), =(11,8,2)
The equation of the plane passing through the three points (1,3,1), (2,8,8), and (11,8,2) is 7x - 17y + 10z = -34
What do you mean by equation?An equation is a mathematical statement that shows the equality or balance of two expressions. It is represented by an equal sign (=) and consists of variables, numbers, and mathematical operations. Equations are used to describe relationships between different quantities and can be solved to find unknown values. For example, the equation 2x + 3 = 7 can be solved for x by subtracting 3 from both sides, giving 2x = 4, and then dividing both sides by 2, giving x = 2.
We can find the equation of a plane passing through three points using the cross product of the vectors connecting two of the points.
Let's first find two vectors that lie on the plane:
v1 = (2,8,8) - (1,3,1) = (1,5,7)
v2 = (11,8,2) - (1,3,1) = (10,5,1)
Next, we can find the normal vector to the plane using the cross product of v1 and v2:
n = v1 x v2 = <7, -17, 10>
The equation of a plane is given by Ax + By + Cz = D, where A, B, and C are the coefficients of the normal vector n = <A, B, C> and D is the constant determined by the coordinates of any point on the plane.
Let's use the point (1,3,1) to find D:
D = A * 1 + B * 3 + C * 1 = 7 - 51 + 10 = -34
Therefore, the equation of the plane passing through the three points (1,3,1), (2,8,8), and (11,8,2) is:
7x - 17y + 10z = -34
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question 10 options: miles per gallon of a vehicle is a random variable with a uniform distribution from 22 to 39. the probability that a random vehicle gets between 26 and 31 miles per gallon is: answer: (round to four decimal places)
Find the value of the differential dy when y = x 4 x 2 1 , x = 1, and dx = 0.1. ?A. dy = 0.2 B. dy = 0.6 C. dy = 0.12 D. dy = 0.5 E. dy = 6
The value of the differential dy when y = x^4 - x^2 + 1 , x = 1 , x = 1, and dx = 0.1 is (D) dy = 0.5.
To find the value of dy, we need to first find the derivative of the function y = x^4 - x^2 + 1. The derivative is given by y' = 4x^3 - 2x. At x = 1, the value of y' is 4(1)^3 - 2(1) = 2. The differential dy is given by dy = y' * dx, where dx = 0.1. So, dy = 2 * 0.1 = 0.2.
Correct Question :
Find the value of the differential dy when y = x^4 - x^2 + 1 , x = 1, and dx = 0.1. ?A. dy = 0.2 B. dy = 0.6 C. dy = 0.12 D. dy = 0.5 E. dy = 6
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Examine thi table of point, which are all on a certain line. X
y
−5
0
−1
−8
1
−12
4
−18
For all the points slope is constant. Hence they all lie on a certain line, then the m = -2.
Given that,
x y
-5 0
-1 -8
1 -12
4 -18
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Then,
Points are, ( - 5,0 ) , ( -1,-8), (1,-12) , (4,-18)
Points are, ( - 5,0 ) , ( -1,-8)
Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
m = [tex]\frac{-8-0}{-1-(-5)}[/tex]
m = [tex]\frac{-8}{-1+5}[/tex]
m = [tex]\frac{-8}{4}[/tex]
m = -2
Points are, ( -1,-8 ) , ( 1,-12),
m = [tex]\frac{-12-(-8)}{1-(-1)}[/tex]
m = [tex]\frac{-12+8}{1+1}[/tex]
m = [tex]\frac{-4}{2}[/tex]
m = -2
Points are, ( 1,-12 ) , ( 4,-18),
m = [tex]\frac{-18-(-12)}{4-1}[/tex]
m = [tex]\frac{-18+12}{3}[/tex]
m = -6/3
m = -2
Then, m = -2
Therefore,
For all the points slope is constant. Hence they all lie on a certain line, then the m = -2.
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For all the points slope is constant. Hence they all lie on a certain line, then the m = -2.
Given that,
x y
-5 0
-1 -8
1 -12
4 -18
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
Then,
Points are, ( - 5,0 ) , ( -1,-8), (1,-12) , (4,-18)
Points are, ( - 5,0 ) , ( -1,-8)
Slope
m = -2
Points are, ( -1,-8 ) , ( 1,-12),
m = -2
Points are, ( 1,-12 ) , ( 4,-18),
m = -6/3
m = -2
Therefore,
For all the points slope is constant. Hence they all lie on a certain line, then the m = -2.
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the area of a circle is 100 Pi find the circumference in terms of Pi
Answer:
The formula for the area of a circle is given by Pi * r^2, where r is the radius of the circle. If the area of the circle is 100 Pi, we can solve for the radius:
100 Pi = Pi * r^2
r^2 = 100
r = 10
The formula for the circumference of a circle is given by 2 * Pi * r. Substituting the value of r = 10, we get:
C = 2 * Pi * r = 2 * Pi * 10 = 20 * Pi
So, the circumference of the circle is 20 Pi.
What is 96 kg in lbs and ounces?
In pounds and ounces, 96 kg equals 216 lb, 1 oz.
What dimensions are there in pounds?These straightforward steps can be used to convert a weight or mass measurement from kilograms (kg) to pounds (lbs): Add 2.2046 to the conversion factor after multiplying the weight. In each, a pound served as the basic unit of weight. The Latin term for pound, "libra," which was also used for the monetary pound (£), is where the abbreviation "lb" originates from. In ounces, pounds were divided.Real health advantages can be had without getting to your high school weight. Even a modest weight loss makes a significant difference. All kinds of health issues can be improved, and you'll feel better too, by losing 5% of your body weight, or 10 pounds for a 200-pound individual.To learn more about pounds, refer to:
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In
△
G
H
I
,
△GHI,
I
G
‾
≅
H
I
‾
IG
≅
HI
and
m
∠
H
=
7
4
∘
.
m∠H=74
∘
. Find
m
∠
G
.
m∠G.
The ∆GHI is an isosceles triangle and have the base angles m∠H and m∠G equal to 74° and the angle I is equal to 32°.
What is an Isosceles triangleAn isosceles triangle have the measure of its base angles to be equal, and the sum of the interior angles sum up to 180°.
Given that sides IG ≅ HI, then the triangle ∆GHI has two sides with similar length and base angles so;
angles m∠H and m∠G are the base angles and m∠G = 74°
m∠I = 180° - (74 + 74)° {sum of interior angles of a triangle}
m∠I = 32°
Therefore, the ∆GHI is an isosceles triangle and have the base angles m∠H and m∠G equal to 74° and the angle I is equal to 32°.
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Dan is playing a game where he selects a card from a deck of four cards, labeled 1 , 2, 3, or 4. The possible cards and probabilities are shown in the probability distribution below. What is the expected value for the card that Dan selects?
3.5
2.0
2.5
1.0
The expected value for the card that Dan selects is 2.5, as it is the average of the probabilities of selecting each card.
The expected value for the card that Dan selects is calculated by taking the sum of the product of each card and its respective probability. The probability distribution for the deck of four cards is as follows: Card 1 has a probability of 0.25, card 2 has a probability of 0.4, card 3 has a probability of 0.2, and card 4 has a probability of 0.15. To calculate the expected value, we first multiply each card number by its respective probability and then add each product together. This gives us 0.25 x 1 = 0.25, 0.4 x 2 = 0.8, 0.2 x 3 = 0.6, and 0.15 x 4 = 0.6. Adding all of these together gives us a total of 2.5, which is the expected value for the card that Dan selects.
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5. Phumzile is driving to her friends house. If she drives at 50 km/h, it takes her 24 minutes to get there. But today she is running late, so she drives at a constant speed of 65 km/h. How long will it take Phumzile to get to her friends house today?
Answer:
[tex]\huge\boxed{\sf Time = 18.5\ minutes}[/tex]
Step-by-step explanation:
Formula to be used:Time = Distance / Speed
Distance:Using the normal speed and time, we will first find the distance to her friends house.
Distance = Speed × TimeHere,
Speed = 50 km/h
Time = 24 minutes / 60 = 0.4 hours
So,
Distance = 50 × 0.4
Distance = 20 kmNow, finding time when the speed is 65 km/h.
So,
Time = Distance / Speed
Time = 20 km / 65 km/hr
Time = 0.31 hourTo convert it into minutes, we multiply it by 60.
So,
Time = 0.31 × 60
Time = 18.5 minutes[tex]\rule[225]{225}{2}[/tex]
The value of a company’s stock is represented by the expression x2 – 2y and the company’s purchases are modeled by 2x + 5y. The company’s goal is to maintain a stock value of at least $5,000, while keeping the purchases below $1,000. Which system of inequalities represents this scenario?
x2 – 2y > 5000
2x + 5y < 1000
x2 – 2y > 5000
2x + 5y ≤ 1000
x2 – 2y ≥ 5000
2x + 5y < 1000
x2 – 2y ≤ 5000
2x + 5y ≤ 1000
The correct system of inequalities to represents this scenario are,
⇒ x² - 2y ≤ 5,000
⇒ 2x + 5y < 1000
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
The value of a company’s stock is represented by the expression x²- 2y and the company’s purchases are modeled by 2x + 5y.
Here, The company’s goal is to maintain a stock value of at least $5,000.
Hence, We get;
⇒ x² - 2y ≤ 5000
And, keeping the purchases below $1,000.
Hence, We get;
⇒ 2x + 5y < 1,000
Thus, The correct system of inequalities to represents this scenario are,
⇒ x² - 2y ≤ 5,000
⇒ 2x + 5y < 1000
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Answer:
x2 – 2y ≥ 5000
2x + 5y < 1000
Step-by-step explanation:
I got it right on the test.
what is the unsigned decimal equivalent of the following unsigned binary integer value?
The unsigned decimal equivalent of the following unsigned binary integer value
(11011100)₂ will be (220)₁₀.
What is a binary integer?An integer variable that can only be either zero or one is referred to as a binary integer variable, often known as a 0/1 variable.
Start with the integer in question and divide it by 2 keeping track of the quotient and remainder to convert it to binary. Divide the quotient by 2 again until you reach zero. The remainders should then be written out in reverse order.
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What is the unsigned decimal equivalent of the following unsigned binary integer value?
11011100
(a) cone, (b) sphere, (c) cylinder, (d) prism.
A cone is a three-dimensional geometric form with a flat base and a smooth tapering apex or vertex.
A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex.
What is a Sphere?A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions.
In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is equal to r, and the provided point is its center.
The three-dimensional shape of a cylinder is made up of two parallel circular bases connected by a curved surface.
The right cylinder is created when the centers of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centers.
A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry. If the sides of a right triangle are not rectangular, the prism is oblique.
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Define the following solids:
(a) cone, (b) sphere, (c) cylinder, (d) prism.
jon is kayaking on the russian river which flows downstream at a rate of 1 mile per hour. he paddles 5 miles downstream and then turns and paddles 6 miles upstream. the trip takes 3 hours. how fast can jon paddle in still water?
4min/hr jon can paddle in the water.
consider the velocity formula:
velocity = distance/time
The given information is:
Distance downstream = 5 miles
Distance upstream = 6 miles
Trip time = 3 hours
Time downstream = (5 / 5+6)(3) = 15/11 hours
Time upstream = (6 / 5+6)(3) = 18/11 hours
velocity downstream = 5 / 15/11 = 11/3mi/hr + 1mi/hr
velocity upstream = 6 / 18/11 = 11/3mi/hr - 1mi/hr
average velocity = 11/3 or 3.6667 or 4 mi/hr
This question can also be calculated in another way:
velocity = distance/time
time = distance/velocity
x + 1 for downstream because it is on current and x - 1 for upstream because it is against the current.
3hours = (5 / x + 1) + (6 / x - 1)
3(x + 1)(x - 1) = 5(x - 1) + 6(x + 1)
3x^2 - 3x + 3x - 3 = 5x - 5 + 6x + 6
3x^2 - 3 = 11x + 1
3x^2 - 11x - 4 = 0
using a quadratic equation, we can find the roots of the equation:
The roots are = 4, -1/3
since there is no negative velocity, x = 4 mi/h
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A car moves along an x axis through a distance of 950 m, starting at rest (at x = 0) and ending at rest (at x = 950m). Through the first 1/4 of that distance, its acceleration is +5.40 m/s^2. Through the next 3/4 of that distance, its acceleration is -1.80 m/s^2. What are (a) its travel time through the 950 m and (b) its maximum speed?
Answer:
Step-by-step explanation:
To find the time it takes for the car to travel 950 m, we need to find the time it takes for each segment and add them up. Let's call the travel time for the first quarter t1, and the travel time for the remaining 3 quarters t2.
a) Travel time:
For the first quarter (0 m to 237.5 m), the equation for the velocity can be found using the kinematic equation:
v = v0 + at
where v0 is the initial velocity (0 m/s), a is the acceleration (+5.40 m/s^2), and t is t1.
So,
t1 = (v - v0) / a = (0 - 0) / 5.40 = 0
For the next 3 quarters (237.5 m to 950 m), the equation for the velocity can be found using the kinematic equation:
v^2 = v0^2 + 2ad
where d is the displacement (950 m - 237.5 m = 712.5 m), and a is the acceleration (-1.80 m/s^2).
So,
t2 = sqrt((2ad + v0^2) / a) = sqrt((2 * -1.80 * 712.5 + 0^2) / -1.80) = sqrt(1286.25 / -1.80) = sqrt(709.03) = 26.6 s
Adding t1 and t2 gives the total travel time:
t = t1 + t2 = 0 + 26.6 = 26.6 s
b) Maximum speed:
To find the maximum speed, we need to find the velocity at the halfway point (475 m) by using the kinematic equation:
v = v0 + at
where v0 is the initial velocity (0 m/s), a is the acceleration (+5.40 m/s^2), and t is t1.
So,
v = 0 + 5.40 * (475 / 237.5) = 4.96 m/s
The maximum speed is 4.96 m/s.
sorry for making it so long.
Suppose you add or subtract two quadratic trinomials that use the same variable. What are the possible classifications for the sum or difference? Explain.
The sum of a quadratic trinomial with the same variable is twice the individual and the difference will be zero.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know a quadratic equation is of the form ax² + bx + c.
The sum will be,
(ax² + bx + c) + (ax² + bx + c).
= 2ax² + 2bx + 2c.
= 2(ax² + bx + c).
The difference will be,
ax² + bx + c - (ax² + bx + c).
= 0.
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What is meant by standardized units and why are they useful?Choose the correct answer below.A).Standardized units are the units that were once standard but have since been phased out for more precise definitions of measurements. They are useful for historical reason, as knowledge of these older units allows people to translate the measurements of the past into the units of today.B).Standardized units are the units that have been determined by a monarchy. They allow educated peoples who use them to distinguish themselves from the common folk who do not.C.)Standardized units are units that have the same meaning for everyone who uses them. When using standardized units, people can communicate measurements and know that they mean the same thing to both people.D.)Standardized units are units that are about the same for each person. For example the length of a person's foot is a foot. These units are useful because, for example, anyone with a foot can use their own to get a measurement.
The Correct statement about Standardized units is (c) Standardized units are units that have the same meaning for everyone who uses them. When using standardized units, people can communicate measurements and know they mean same thing to both people.
The Standardized Units are a set of units of measurement that have been universally recognized and adopted for specific quantities.
The International System of Units (SI) is the most widely used system of standardized units, and includes units for measuring length, mass, time, electric current, temperature, and other physical quantities.
The Standardized Units play a crucial role in scientific experiments, as well as in manufacturing processes, and in providing precise information on medication dosages, food labeling, and other important areas.
Therefore , standardized units ensure uniformity and comparability of measurements across different fields and geographic locations.
What is meant by standardized units and why are they useful?
Choose the correct answer below.
(a) Standardized units are the units that were once standard but have since been phased out for more precise definitions of measurements. They are useful for historical reason, as knowledge of these older units allows people to translate the measurements of the past into the units of today.
(b) Standardized units are the units that have been determined by a monarchy. They allow educated peoples who use them to distinguish themselves from the common folk who do not.
(c) Standardized units are units that have the same meaning for everyone who uses them. When using standardized units, people can communicate measurements and know that they mean the same thing to both people.
(d) Standardized units are units that are about the same for each person. For example the length of a person's foot is a foot. These units are useful because, for example, anyone with a foot can use their own to get a measurement.
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a table which shows the truth value of one or more compound propositions for every possible combination of truth values of the propositions making up the compound ones.
The truth values of a compound statement are displayed in a truth table for all feasible combinations of the truth values of its component propositions.
A truth table is a graph that shows the truth value of one or more compound propositions for any two compound propositions that can have the same truth value. It is used to judge whether a logical argument is sound. A truth table is made up of rows and columns, each row having the truth value of the compound proposition for the specified set of truth values, and each column containing the truth value of the individual proposition. The propositions that make up the compound proposition must first be identified, and all potential combinations of truth values for each of those propositions must then be listed in order to produce a truth table. The truth value of the compound proposition can then be calculated for each combination. Applying reasoning to the provided combination will do this. The truth value of the compound proposition will then be shown in the truth table for each combination of truth values. This can assist in determining the viability of a given logical argument.
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If 2−cos2θ=3sinθcosθ, where sinθ≠cosθ, the value of tanθ is,
The value of tanθ is either 3/2 or -3/2.
How to Solve for tanθ?We can solve for the value of tanθ by squaring both sides of the equation 2 - cos(2θ) = 3sinθcosθ, then using the identity tan^2(θ) = sin^2(θ)/cos^2(θ).
Starting with the left-hand side:
(2 - cos(2θ))^2 = 9sin^2(θ)cos^2(θ)
Using the identity cos(2θ) = 2cos^2(θ) - 1, we can simplify:
(2 - 2cos^2(θ) + 1)^2 = 9sin^2(θ)cos^2(θ)
Expanding the square and simplifying:
9 = 8sin^2(θ)cos^2(θ)
Finally, dividing both sides by 8cos^2(θ)sin^2(θ) (which is non-zero since sinθ ≠ cosθ) and using the identity tan^2(θ) = sin^2(θ)/cos^2(θ), we get:
tan^2(θ) = 9/8
Taking the square root of both sides, we have:
tan(θ) = ±3/2
So, the value of tanθ is either 3/2 or -3/2.
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Given the functions f(x) = x² + 4 and h(x) = x-2, find (f - h) (-4)
A. 6
B. 26
C. 14
D. 12
Answer:
(f - h) (-4) = 26.
Step-by-step explanation:
First, find the value of f(-4):
f(x) = x² + 4
f(-4) = (-4)² + 4 = 16 + 4 = 20
Next, find the value of h(-4):
h(x) = x-2
h(-4) = -4 - 2 = -6
Finally, subtract h(-4) from f(-4) to find (f - h) (-4):
(f - h) (-4) = f(-4) - h(-4) = 20 - (-6) = 20 + 6 = 26
So (f - h) (-4) = 26.
factor the polynomial completely
z^2 + 10z+24
Answer:
(z + 6)(z + 4)
Step-by-step explanation:
z² + 10z + 24
consider the factors of the constant term (+ 24) which sum to give the coefficient of the z- term (+ 10)
the factors are + 6 and + 4 , since
6 × 4 = + 24 and 6 + 4 = + 10 , then
z² + 10z + 24 = (z + 6)(z + 4) ← in factored form
HELP ASAP WILL GIVE FIRST ANSWER BRAINLEIST
Which graph represents the linear equation y equals one fourth times x plus 1 on the coordinate plane?
Answer:
Below
Step-by-step explanation:
y= 1/4 x + 1
The graph has a y-axis intercept of +1 (y = mx + b form)
last one looks correct....at x = 4 the value is 2 which is correct
Is 2X squared +8x-8 a polynomial
The expression 2x² + 8x - 8 represents a polynomial.
When does an expression represent a polynomial?An expression represents a polynomial when these following conditions are satisfied:
Integer exponents.Non-negative exponents.The exponents for this problem are given as follows:
2, 1 and 0.
(as the constant term has an exponent of zero).
Which are both integer and non-negative, hence the expression 2x² + 8x - 8 in fact represents a polynomial.
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12. If AB = 8, BC = 16, and CA = 13, list the angles of ABC in order from smallest to largest.
Answer:
I don't know. I hope this helps!
Step-by-step explanation:
Answer:
C , B , A
Explanation:
In any triangle, there is a direct relation between the measure of the angle and the length of the opposite side.
This means that:
- The longest side will be the one opposite to the largest angle
- The shortest side will be the one opposite to the smallest angle
In the given triangle:
- The longest side is BC, this means that the largest angle is angle A
- The shortest side is AB, this means that the smallest angle is C
- CA has an intermediate length (AB < CA < BC), this means that measure angle B will be greater than C and less than A
Based on the above, the order from the smallest angle to the largest angle will be as follows:
C < B < A
Step-by-step explanation:
Hope its Helps :]
Label each point on the number line with the correct value.
Click each dot on the image to select an answer. Choices:
−
7
3
−
3
7
minus, start fraction, 7, divided by, 3, end fraction
−
2
5
8
−2
8
5
minus, 2, start fraction, 5, divided by, 8, end fraction
−
2.9
−2.9minus, 2, point, 9
A number line from negative 6 halves to negative 3 halves, labeled in increments of 1 half. There are three points on the line, labeled from left to right with a, b, and c.
The point a shows -2.9, b shows -2 5/8 and c shows -7/3.
What is Number line?A number line is a visual depiction of numbers on a straight line in mathematics. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is often displayed horizontally and can extend indefinitely in any direction.
Given:
We have first -7/3 which can be written as -2.33
and, -2 5/8 can be written as -21/8 or -2.625
and, the third is -2.9
So, the point a shows - 2.9.
and point b shows -2.625 or -2 5/8.
an point c shows -2.33 or -7/3.
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harley was tested 10 times and 9 of those times he choose the correct cup. what are the observational units?
In the experiment, the subject whose behavior is being assessed are observational units. The observational unit in this instance is Harley (Dog).
We will first investigate if canines can comprehend both non-human and human gestures in this investigation. The dogs were placed around 2.5 meters apart from the experimenter so that the researchers could test this. Two glasses were placed one on either side of the experimenter.
A gesture would be made at one of the cups by either the experimenter (pointing, bowing, or staring) or by a non-human object (a mechanical arm pointing, a doll pointing, or a stuffed animal looking). After then, the scientists would observe whether the dog would approach the cup that was pointed out. Six dogs were put to the test. We'll focus on one of the dogs who participated in both of his trial sets.
The four-year-old mixed breed dog was given the name Harley. Each of the ten trials in a set consisted of one gesture and one pair of cups. In order to see if Harley would approach a particular cup, the experimenter bowed toward it during one round of experiments.
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