The expression that would find the percent error is:
(38 - 28) / 38 x 100 = 26%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Sameera predicted that she would sell 38 blankets.
Actual sold 28 blankets.
Now,
Percentage error.
= (38 - 28) / 38 x 100
= 10/38 x 100
= 26%
Thus,
The percentage error is 26%.
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(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.
Imagine you are an ecologist studying the population of two types of fish in a lake. The current population of Type A is 5,750 and the population decreases by 250 fish per year. The current population of Type B is 3,500 and the population increases by 500 fish per year. When will the populations of the two types of fish be the same?
The solution is after 3 yrs the populations of the two types of fish be the same.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
let, after t yrs the populations of the two types of fish be the same.
so, we get,
5750-250t = 3500+ 500t
2250=750t
t=3
Hence, The solution is after 3 yrs the populations of the two types of fish be the same.
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Can anybody help me with s/-31=25
The solution of the expression is,
⇒ s = - 775
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The expression is,
⇒ s / - 31 = 25
Now, We can simplify as;
⇒ s / - 31 = 25
Multiply by - 31 both side,
⇒ s = - 31 × 25
⇒ s = - 775
Thus, The solution of the expression is,
⇒ s = - 775
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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
Line G has a slope of 5/4. Line H is perpendicular to line G, what is the slope of line g.
Answer:
-4/5
Step-by-step explanation:
To find the slope perpendicular to another slope, take the negative reciprocal. All you need to do is switch the numbers and change the sign.
ex.
2/3 becomes -3/2
-4/7 becomes 7/4
A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used for each serving, how many servings can be made from two pints?.
The milk will be served in cups to make it easier for them to consume, we are switching from the larger unit (i.e. quarts) to the smaller unit (i.e. cups).
What is the difference between quart and cups?4 cups or 2 pints are equivalent to one quart (qt). We can switch to utilizing gallons if we still need extra liquid. 16 cups, 8 pints, or 4 quarts make up a gallon (gal). It is a measurement of the largest liquid.
Servings per cup are divided at a rate of 9 servings to 3 cups, or 3 servings per cup. In a quart, there are 4 cups. In 2 quarts, there are 8 cups. In 4 quarts, there are 16 cups.
Servings per cup are divided at a rate of 9 servings to 3 cups, or 3 servings per cup.
1 quart = 4 cups
2 quarts = 2 × 4 quarts = 8 cups
3 servings/cup × 8 cups = 24 servings
The complete question is:
A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used for each serving, how many servings can be made from two quarts?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for?
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Evaluate each expression and record your answers in the table.
For example, if a =-2/7, then -a =1/2
The expression if a = -2/7 than -a = 1/2 is a false statement.
How to obtain the opposite of a number?The opposite of a number is obtained exchanging just the signal of the number.
The number for this problem is given as follows:
a = -2/7.
The signal is negative, hence the opposite of the number is given as follows:
-a = -(-2/7)
-a = 2/7. (two negatives become a positive).
As the problem states that the opposite is of -a = 1/2, the statement is false.
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find the volume of the solid obtained by rotating the region bounded by the curves y2=x and x=2y about the x-axis.
The volume of the solid is 16π/3 cubic units.
What is the volume of the solid?
The volume of a solid in mathematics is the measure of the space occupied by the solid. It can be calculated using methods such as the disk method or the shell method, depending on the shape of the region being rotated.
To find the volume of the solid obtained by rotating the region bounded by the curves y^2 = x and x = 2y about the x-axis, we would use the disk method. The disk method involves slicing the solid into infinitesimally thin disks, and adding up the volumes of these disks.
First, we need to find the equations for the curves y^2 = x and x = 2y. The first curve is already in the correct form, but the second curve can be rearranged to get y = x/2. Then, we can find the bounds of integration by finding the intersection of the two curves. These bounds are x = 0 and x = 4.
Next, we can set up the integral for the volume:
V = π ∫_0^4 (x/2)^2 dx
Evaluating this integral gives:
V = π/3 (x^3/2) evaluated from 0 to 4
V = π/3 [8/2 - 0/2]
V = π/3 (8) = 16π/3 cubic units
Hence, the volume of the solid is 16π/3 cubic units.
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Unit 5: Systems of Equations & Inequalities
Homework 5: Solving Systems - All Methods
We obtained the solutions by solving the system via substitution:
x = 2/3, y = 8/3.
How to find the Equation?We should probably start by solving problem number 5 in the system of equations.
The set of equations is as follows:
y = x + 2
3x + 3y = 6
We must isolate one of the variables from one of the equations before substituting it in the other equation to solve it via substitution.
Since "y" is already isolated in the first equation, for instance, we can utilize it to replace it in the second equation.
3x + 3y = 6
3x + 3*(y = x + 2) = 6
3x + 3*(x + 2) = 6
We now have an equation that depends just on x, allowing us to solve it:
3x + 3x + 2 = 6
6x + 2 = 6
6x = 6 - 2 = 4
x = 4/6 = 2/3.
The value of y can now be determined using the first equation:
y = x + 2 = 2/3 + 2 = 2/3 + 6/3 = 8/3.
The answer is then:
x = 2/3 and y = 8/3.
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The Complete Question
Unit 5: Systems of Equations & Inequalities Homework 2: Solving Systems by Substitution
(-3x^2+x^4+x)+(2x^4-7+4x) simplified
Equivalent expression becomes -
(-3x² + x⁴ + x) + (2x⁴- 7 + 4x) = option: D
(x² - 2x) (2x + 3) = option: A
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It is possible to multiply, divide, add, or subtract in math. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, 10m + 5 is an expression including the terms 10m and 5 as well as m, the variable of the supplied expression, all separated by the arithmetic sign "+".
Simplification:
= (-3x² + x⁴ + x) + (2x⁴- 7 + 4x)
= - 3x² + 3x⁴ + 5x - 7
= 3x⁴- 3x² + 5x - 7
option : D
= (x² - 2x) (2x + 3)
= 2x³ + 3x² - 4x² - 6x
= 2x³ - x² - 6x
option: A
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Pls awnser
I have to have more words to ask this question
The end behavior of the function f(x) is defined as follows:
As x -> - ∞, f(x) -> ∞. As x -> ∞, f(x) -> 0.
How to obtain the end behavior of the function?The function for this problem is defined as follows:
y = 1.5(0.8)^x.
(converting the fractions to decimals).
The end behavior of a function is given by the limit of the function is the input x goes to either negative infinity or positive infinity.
When x -> -∞, (0.8)^(-∞) = (5/4)^∞ -> ∞, hence:
As x -> - ∞, f(x) -> ∞.
When x -> -∞, (0.8)^(∞) -> 0, as it has a base value with absolute value less than 1, hence:
As x -> ∞, f(x) -> 0.
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find the indefinite integral. (use c for the constant of integration.) z2 1 (1 − z)8 dz
The value of the indefinite integral [tex]\int [z^2 + \frac{1}{(1-z)^8}]dz[/tex] will be [tex][ \frac{(z)^3}{3} - \frac{1}{7(1-z)^7}] + c[/tex].
Given that:
[tex]\begin{aligned} I &= \int \left [z^2 + \dfrac{1}{(1-z)^8}\right] dz \end{aligned}[/tex]
The indefinite integral, also known as an antiderivative, represents the family of functions whose derivative is equal to the given function. It is denoted by the symbol ∫.
Integration is a way of finding the total by adding or summing the components. It's a reversal of differentiation, in which we break down functions into pieces. This approach is used to calculate the total on a large scale.
Let 1 - z = u, then -dz = du and 1 - u = z. Then we have
[tex]\begin{aligned} I &= -\int \left [(1-u)^2 + \dfrac{1}{u^8}\right] du\\I &= \left [ \dfrac{(1-u)^3}{3} - \dfrac{1}{7u^7}\right] + c \\I &= \left [ \dfrac{(z)^3}{3} - \dfrac{1}{7(1-z)^7}\right ] + c\end{aligned}[/tex]
The value of the indefinite integral [tex]\int [z^2 + \frac{1}{(1-z)^8}]dz[/tex] will be [tex][ \frac{(z)^3}{3} - \frac{1}{7(1-z)^7}] + c[/tex].
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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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What is the amplitude of this function f(x)? f(x)=3cos(2x)+5
Answer:
The Amplitude is 3
Step-by-step explanation:
How that helps
Answer:
The amplitude of this function is 4, which is calculated by subtracting the minimum value (1) from the maximum value (5).
Step-by-step explanation:
24. ABCD is a cyclic quadrilateral in which arc AD = arc DC. BC is that ADBE is produced to E such way that AB = CE then prove an isosceles triangle.
The proof that can be used to show that this is an isosceles triangle has been given below
How to check the triangleA cyclic quadrilateral is a quadrilateral whose vertices lie on the same circle. In this case, since ABCD is a cyclic quadrilateral and arc AD = arc DC, it follows that the opposite angles of the quadrilateral are equal. Let's call the equal angles of the quadrilateral "x."
Since AB = CE, we can use the angle-angle criterion for congruent triangles to prove that triangle ABD is congruent to triangle ECD:
ADB and CDE are both right angles, and the equal angles x in triangle ABD and CDE both add up to 90 degrees.
So, by the angle-angle criterion, triangle ABD is congruent to triangle CDE.
Since AB = CE and ABD is congruent to CDE, we can conclude that triangle ABD is isosceles.
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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]
3x + y = -5, 6x + 2y = 10 with substitution
Answer:
no solution is the answer
I need help on the left side:
The system of equations is:
y = -8x - 4
y = -x + 3
And the solution is (-1, 4).
How to write the system of equations?Remember that a general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
First we can see that one of the equations has an y-intercept of y = 3, then we can write:
y = a*x + 3
And that line also passes through (1, 2), replacing these values we will get:
2 = a*1 + 3
2 - 3 = a
-1 = a
So the line is:
y = -x + 3
The other line has an y-intercept of y = -4
Then we can write:
y = a*x - 4
And that line also passes through (-1, 4), replacing that:
4 = a*-1 - 4
4 = -a - 4
4 + 4 = -a
-8 = a
So that line is:
y = -8x - 4
Then the system of equations is:
y = -8x - 4
y = -x + 3
And the solution is the point where the lines intercept, which is (-1, 4)
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A toy company is building dollhouse furniture. A rectangular door of a dollhouse has a height of 7 centimeters and a width of 3 centimeters. What is the perimeter of the door on a scale drawing that uses the scale 3:5?
33 cm
20 cm
14 cm
12 cm
The answer is 12 or option (d)
I took the test~ good luck!
What is the T symbol in statistics?
T symbol in statistics means Test statistic for t-test ( t-score )
What is t-statistic ?
The t-statistic in statistics measures how far an estimated value of a parameter deviates from its hypothesised value in relation to its standard error.
T symbol in statistics mean Test statistic for t-test ( t-score )
Through the Student's t-test, it is utilised for testing hypotheses. To decide whether to accept or reject the null hypothesis in a t-test, the t-statistic is used.
It is quite comparable to the z-score, but when the sample size is small or the population standard deviation is unknown, the t-statistic is employed instead.
For instance, if the population standard deviation is unknown, the population mean can be estimated using the t-statistic from a sampling distribution of sample means.
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Solve for the value of b. (9b+1) 53°
For the equation y=mx+b, we need to identify "b" (the y-intercept).
Solve for the value of b ?For the equation y=mx+b, we need to identify "b" (the y-intercept).
If you are familiar with the slope (m), you can utilize any of the given points by replacing the Y value with y and the X value with x.
Find the solution to b = Y-mX.
The quantity m is known as the line's slope in the equation for a straight line, y = mx + b.
If x is set to 0, then y will equal b because it will equal m • 0 + b.
The graph's y-axis crossing point, designated by the number b, is located there.
To determine the y-intercept, use the slope and a single point (b).
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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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Jan 31,
In parallelogram GHJK if KL=16 find LH.
G
H
L
K
SRE220S
Answer:
Step-by-step explanation:
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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Anyone know the answer
The root of the quadratic equation we get x=1
What are quadratic equations?A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.
Given here: The quadratic equation x²+6x=7
now, x²+6x=7
x²+6x+9=16
(x+3)²=16
x+3=4
x=1
Hence, The root of the quadratic equation we get x=1
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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
320 is what percent of
200?
Answer:
160%
Step-by-step explanation:
320 divided by 200, times 100 = 160%
A ball is dropped from a tower. The table shows the heights of the ball’s bounces, which form a geometric sequence.
Describe in words how you would find the height of the next bounce?
The height of the next bounce which is on the third bounce will be 12.8 feet.
What is a geometric sequence?A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.
Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
Then the common ratio is given as,
r = 80 / 200
r = 0.40
The height of the next bounce will be given as,
a₄ = 200 · (0.4)⁴⁻¹
a₄ = 200 · (0.4)³
a₄ = 200 · 0.064
a₄ = 12.8 feet
The height of the next bounce which is on the third bounce will be 12.8 feet.
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Graph the function y=(1/2)^x+1 using the given table of values and following the instructions below.
Answer:
See the attached image.
Explanation:
Given the equation:
[tex]y=\left(\dfrac{1}{2}\right)^x + 1[/tex]
We can graph the top four points in the middle table, as they fit on the shown graph, and their coordinates are all integers:
[tex](-3,9)[/tex] [tex](-2,5)[/tex] [tex](-1,3)[/tex] [tex](0,2)[/tex]
Then, we can draw a curve through the points and along the asymptote of the exponential function at [tex]y=1[/tex].
Note that the asymptote is drawn as a dotted line in purple.
67. find the volume of the solid under the graph of the function f(x, y) = xy 1 and above the region in the figure in the previous exercise.
By integrating the function f(x,y)=xy with respect to x and y across the specified area, it is possible to determine the solid's volume. This will reveal the solid's overall volume beneath the function's graph.
By integrating the function with respect to both x and y, it is possible to determine the volume of the solid above the specified region and under the graph of the function f(x,y)=xy. This will provide us with the solid's overall volume. We must integrate the function over the specified area in order to determine the volume. The integration will be carried out first with regard to x and subsequently with regard to y. The x integral will have a lower limit of 0 and an upper limit of 4, whereas the y integral will have a lower limit of 0 and an upper limit of 3. We shall obtain the total volume of the solid under the function's graph and above after integrating.
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