The function will use the formula x^i, where x is the element in x and i is the power.
Let x = [2, 3] and k = 3.
The function get list of powers will calculate the powers of each element in x, from 0 to k.
For the given example, the list of powers will be l = [[1, 2, 4, 8], [1, 3, 9, 27]].
The first element in l is the powers of 2 from 0 to 3, which are 1, 2, 4, and 8. The second element in l is the powers of 3 from 0 to 3, which are 1, 3, 9, and 27.
To calculate these powers, the function will use the formula x^i, where x is the element in x and i is the power.
For example, to calculate 8 (2^3), the function will use the formula 2^3.
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Line C is represented by the line
y=-52-5. Line D is perpendicular to Line C. What is the slope of Line D?
from the given option the slope of the line -5/2 is shown by the equation [tex]$y=-\frac{5}{2} x-4$[/tex]that is option B).
What is slope of Line?An indication of how steep a line is is its slope. When calculating slope mathematically, "rise over run" is used (change in y divided by change in x). Measured by slope, a line's steepness. The slope increases in steepness as it gets larger. It becomes flatter the smaller the slope. Along with indicating whether a line is going up, down, horizontal, or vertical, slope also indicates the direction of the line.
From the given option the slope of the line [tex]$-5 / 2$[/tex] is shown by the equation [tex]$y=\frac{2}{5} x[/tex] that is option[tex]$\mathbf{B}$[/tex] ) and this can be determined by using the slop intercept form.
Given :
Equation -[tex]$y=\frac{2}{5} x-1$[/tex]
First, determine the slope of the given line by using the slope-intercept form. The slope-intercept is given by the equation:
[tex]$$y=m x+c$$[/tex]
Now, compare equation (1) with the above equation.
[tex]& \mathrm{m}_1=\frac{2}{5} \\[/tex]
[tex]& \mathrm{c}=-1[/tex]
For a line to be perpendicular to the other line the product of the slope of both the line is equal to -1, that is:
[tex]$$m_1 m_2=-1$$[/tex]
So, the slope of the line perpendicular to the line [tex]$y=\frac{2}{5} x-1$[/tex] is:
[tex]$$\mathrm{m}_2=-\frac{5}{2}$$[/tex]
So, from the given option the slope of the line [tex]$-5 / 2$[/tex] is shown by the equation [tex]$y=-\frac{5}{2} x-4$[/tex] that is option[tex]$\left.\mathbf{B}\right)$[/tex].
The complete question is,
Which of the following is the equation of a line that is perpendicular to the graph of y = 25x − 1?
A. y = 25x − 4
B. y = −52x − 4
C. y = −25x − 4
D. y = 52x −
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Simplify (10−6)2 + 8 − 22 .
Answer:
18
Step-by-step explanation:
9+9
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{ASSUMING}[/tex]
[tex]\mathsf{(10 - 6)^2 + 8 - 22}[/tex]
[tex]\mathsf{= (4)^2 + 8 - 22}[/tex]
[tex]\mathsf{= 4^2 + 8 - 22}[/tex]
[tex]\mathsf{= 4 \times 4 + 8 - 22}[/tex]
[tex]\mathsf{= 16 + 8 - 22}[/tex]
[tex]\mathsf{= 24 - 22}[/tex]
[tex]\mathsf{= 2}[/tex]
[tex]\huge\text{Therefore, your answer should be: \huge\boxed{\mathsf 2}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The Blackbird Oil Company is considering the purchase of 20 new jumbo oil storage tanks. The standard model holds 12,000 gallons. Its
dimensions are the size of the similarly shaped jumbo model, that is, the ratio of the dimensions is 4:5.
a) How many gallons does one jumbo tank hold?
b) How many more gallons does one jumbo tank
hold than one standard tank?
c) If jumbo tanks cost 50% more than standard
tanks, which tank is a better buy?
Therefore , the solution of the given problem of ratio comes out to be 300,000.
A ratio is defined.A portion or fraction in mathematics displays how frequently one number is included in another. For instance, if there are eight orange and six lemons in a fruit plate, the proportion of oranges to lemonade is eight to six, or 8:6, which is comparable to the ratios 4:3 or the decimal 1.333.
Here,
We must use our grasp of proportionality to establish the maximum amount of shares that can be owned in this exercise.
The 20 huge variations will allow Blackbird Oil to store a total of 300,000 gallons.
The details in the assertion can be summed up as follows:
20 brand-new, sizable oil storage tanks.
The ratio is 4:5 for 12,000 gallons.
Because of the proportional ratio of 4.05, the enormous receptacles are 1.25 times larger than the ordinary ones, giving us:
=> 1200 * 1.25 = 15000
=> 15000 * 20 = 300000
As a result, the supplied problem's answer equals 300,000.
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need help asap please help! 50 points!!!!!!!!!!!!!!!!!!!!!!!! Plese do all problems
Answer:
Step-by-step explanation:
8) a) In a parallelogram, opposite sides are equal and parallel.
BC = AD
12x - 1 = x + 21
12x = x + 21 + 1
12x = x + 22
12x - x = 22
11x = 22
x = 22 ÷ 11
x = 2
AD = x + 21
= 2 + 21
AD = 23
In a parallelogram, adjacent angles are supplementary.
∠A + ∠D = 180°
[tex]\sf y - 9 + \dfrac{y}{2}=180\\\\ \dfrac{2y}{2}+\dfrac{y}{2}=180+9\\\\[/tex]
[tex]\dfrac{3y}{2}=189\\\\y =189*\dfrac{2}{3}\\\\y=63*2\\\\y = 126[/tex]
∠D = 126 ÷2
= 63
In parallelogram, opposite angles are congruent.
∠B = ∠D
∠B = 63°
At a run festival, 5/7 of the runners are women. If there are 1050 runners, how many are women?
There are 750 women runners at the festival out of 1050 runners.
What is the arithmatic calcaltion?
Arithmetic is a branch of mathematics that deals with the manipulation of numbers and the properties of operations such as addition, subtraction, multiplication, and division. It is often referred to as "elementary mathematics" or "number theory" and is one of the oldest and most basic branches of mathematics.
If 5/7 of the runners at the festival are women, we can use this information to find how many runners are women.
Let's call the number of women runners W. We know that 5/7 of the runners are women, so we can set up the following proportion:
W / 1050 = 5/7
To find the value of W, we can cross-multiply and then solve for W:
W * 7 = 5 * 1050
W = 750
Hence, there are 750 women runners at the festival out of 1050 runners.
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which expressions have the same product as 0.056 x 0.34
The expressions that have the same product as 0.056 x 0.34 is A. A.56 * 0.34/100, 000.
How can the expressions that have the same product be known?The concept that will be used is finding of the products or quotient then compare .
The product of the given value 0.056 x 0.34 is 0.01904
The we can compare to the given options as;
A.56 * 0.34/100, 000 = 0.01904
B.0.56*3.4= 1.904
C. 56*34*0.001= 1.904
D. 56*34*1/100 *1/100 = 0.1904
Therefore, option A is correct because it have the same value with the given values.
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missing options:
A.56 * 0.34/100, 000
B.0.56*3.4
C. 56*34*0.001
D. 56*34*1/100 *1/100
In what way are photosynthesis and cellular respiration similar?
(a) They both occur in chloroplasts.
(b) They both require sunlight.
(c) They both involve organic and inorganic molecules.
(d) They both require oxygen and produce carbon dioxide.
Are tan D and tan F ____.
a. complementary
b. supplementary
c. congruent
d. reciprocals
Reason:
tan = opposite/adjacent
tan(D) = EF/DE = d/f
tan(F) = DE/EF = f/d
Comparing d/f with f/d, and we find they are reciprocals. The two fractions multiply to 1.
(PRE CALC) I NEED HELP ASAP WITH THIS PROBLEM WILL GIVE BRAINLIEST
The center of the ellipse is (2, -8).
The endpoints of the major axis are 10 units from the center.
The endpoints of the minor axis are 9 units from the center.
To graph the ellipse, connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.
What is ellipse?
An ellipse in mathematics is a plane curve that has two focal points and is such that the sum of the two distances from any point on the curve to the focal points is a constant. It generalizes a circle, a special kind of ellipse in which the two focal points coincide.
Given:
The equation of ellipse is,
[tex]\frac{(x-2)^2}{81}+(\frac{(y+8)^2}{100}=1[/tex]
Since, the general form of ellipse is,
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
where,
(h, k) is the center of ellipse
a is the minor axis
b is the major axis.
Here (h, k) = (2, -8) is the center of the ellipse.
9 is the minor axis and 10 is the major axis of the ellipse.
Also the graph of ellipse connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.
Hence, the center of the ellipse is (2, -8).
The endpoints of the major axis are 10 units from the center.
The endpoints of the minor axis are 9 units from the center.
To graph the ellipse, connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.
The graph of the ellipse is attached below.
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For each function graphed below, state whether it is one to one.
Answer:
1) yes 2) no 3) yes 4) no 5) no 6) no
Step-by-step explanation:
Horizontal line test
calculate the density of an apple with a mass of 30 grams and a volume of 160ml
Answer:
Step-by-step explanation:
P=m/v
Density = mass / volume
30 is mass
160 is ml
P=30/160
0.1875
When you’ve finished solving an equation, it’s easy to check your work. Simply plug your answer for the variable into the original equation. Take, for example, the equation 4x + 9 = 45. After isolating the variable, you’ve come up with x = 9. To check your work, replace the x with 9: 4(9) + 9 = 45. Following the order of operations, multiply 4 by 9 first to get 36 + 9 = 45. Adding 36 plus 9 does equal 45, so you know you’ve found the right value for x. Which of these equations is correct when x = -2? A x + 8 = 5 B 3x - 1 = -10 C 2x - 7 = -11 D -95x = -190 BACK
The required correct equations are 2x - 7 = -11 and -95x = -190. Options C and D are correct.
What is the equation?
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
As of the given example in the question,
Putting x = -2 to in every op[tion,
A,
X + 8 = 5
-2 + 8 = 5
6 ≠ 5
Similarly,
B. -7 ≠ -10
C. -11 = -11
D. -190 = -190
Thus, the required correct equations are 2x - 7 = -11 and -95x = -190. Options C and D are correct.
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HELP PLEASE.
In an experiment with a bag of marbles, P(green) = one-fourth. Interpret the likelihood of choosing a green marble.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
The likelihood of choosing a green marble is unlikely.
What is the probability?Probability is used to determine how likely it is that a random event would happen. The probability that a random event occurs lie between 0 and 1. The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
The probability of picking a green marble is 1/4 or 0.25. 0.25 is less than 0.5. This means it is unlikely the event would occur.
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Find the circumference of a circle that has a radius of 5 cm. Use 3.14 for pi.
Classifying triangles
Lisa sells raffle tickets at a charity event for $4 each. How many tickets does she have to sell to make $160? Select the correct equation and answer.
Responses
4t=160; 40 tickets4t=160; 40 tickets
t160=4; 40 ticketst160=4; 40 tickets
4(160)=t; 480 tickets4(160)=t; 480 tickets
t4=160; 480 tickets
Answer: 40 tickets
Step-by-step explanation:
1 ticket=$4
160/4=40
$4x40tickets=$160
Yesterday, Rachel went on a bike ride. Her average speed was 9 miles per hour. Today, she went on another ride, this time averaging 14 mlles per hour. In the two days, she biked for a combined total time of 12 hours. Let x be the number of hours she biked yesterday. Write an expression for the combined total number of miles she biked in the two days.
Rachel rode her bike a total distance in miles over the course of two days, as shown by the expression: -5x + 168.
What is meant by term speed of object?Velocity is the pace and directions of an object's movement, whereas speed is really the time rate which an object is travelling along a path. In other words, velocity is a vector, whereas speed is just a scalar value.Let x be the duration of Rachel's bicycle ride yesterday.
Distance = speed * time
According to information provided, Rachel's average speed yesterday was 9 miles per hour.Therefore, the distance travelled in x hours would be: 9x.Additionally, we are informed that Rachel biked nine times in total 12 hours.Therefore, the second day's biking time would be: 12 - x.At a pace of 14 miles per hour, the distance travelled would be: 14(12 - x)The total distance that Rachel would travel is: 9x + 14(12 - x)Thus, the equation becomes.
= 9x + 14(12 - x)
On solving;
= 9x + 168 - 14x
=-5x + 168
Rachel rode her bike a total of miles over the course of two days, as shown by the expression: -5x + 168.
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PLEASE HELP!! DUE TMR!
Answer:
Answers below
Step-by-step explanation:
a)solving for f(2)
f(2)= 5(2) - 3 (input the given value for the letter x)
f(2) = 10 -3 (multiply your inputed value with whatever is infront of it)
f(2) = 7 (Connect simmilar terms)
b) solving for f(32)
remember to follow the steps from above
f(32) = 5(32) - 3
f(32) = 160 -3
f(32) = 157
c) solving for f(-8)
we are going to end up on the negatives and thats okay. Not all answers have to be positive
f(-8) = 5(-8) -3
f(-8) = -40 -3
f(-8) = -43
Simplify the expression 8+10 (x+3) + x . Do not include spaces in your answer and type in the form similar to 2x+2.
Answer:
8+10(x+3)+x
=18(x+3)+x
=18x+54+x
=19x+54
[tex]solve \: each \: equation \: for \: 0 \: \leqslant 0 < 2\pi[/tex]
btw the second 0 is a 0 with a / but i don't have the symbol
[tex] - 1 = - 2 + \cot(0) [/tex]
The sine, cosine, and tangent are the three fundamental trigonometry operations. The cotangent, secant, and cosecant functions are derived from these three basic functions.
Is trigonometry a practical tool?Numerous applications of trigonometry and its operations can be found in daily life. For instance, it is used in astronomy to determine how far away nearby stars are, in geography to determine the distance between landmarks, and in the satellite navigation system.
Here,
The three basic categories of trigonometric functions are sine, cosine, and tangent.
And
from the primary functions, one can derive the three cotangent, secant, and cosecant functions.
Therefore , the solution is cotangent, secant, and cosecant functions are derived from these three basic functions .
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The complete question is " Is a slash used on a zero or an O to differentiate between the two trigonometric ratios? ".
Once Cherokee stomp dance has 36 aldults dancing. There are 3 times as many aldults as children at the stomp dance. Which sentence describes how to find the number of children at the stomp dance?
Answer: B, the second answer is correct.
Step-by-step explanation: Hope it helps, mark brainliest and give thanks please!
You would like to see either a World War II movie, or one that is based on a comic book character but does not feature aliens. Which set of movies are you interested in seeing?
WWII n (Comix n Aliens')
WWII n (Comix U Aliens')
WWII U (Comix n Aliens')
WWII U (Comix U Aliens')
Where one would like to see either a World War II movie or one that is based on a comic book character but does not feature aliens. The set of movies they are interested in seeing is: "WWII U (Comix n Aliens')" (Option C) Note that this is a prompt related to sets.
What is the sets in math?Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form. Sets are often expressed by curly brackets; for example, A = 1,2,3,4 is a set.
Some examples of sets include the empty set, finite set, equivalent set, subset, universal set, superset, and infinite set.
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HELP ASAP WILL GIVE BRAINLIEST
What two rational expressions sum to 3x−2x2−x−12 ?
Enter your answer by filling in the boxes. Enter your answer so that each rational expression is in simplified form.
Answer and Explanation: To get the two terms on the right to combine into one term, we need the denominators of both terms to be the same. To do this we can plug in x+3 for the bottom left denominator and x-4 for the bottom right denominator. This makes both denominators (x+3)(x-4).
The numerators of both terms on the right just have to add up to 3x-2. One way we could do this is to the right one as 3x and the other as -2 or vice versa.
(x+3)(x-4) simplifies to x^2-x-12 which is why the denominator of the term on the left is that.
What is the vertex of the function f(x)= -1/2 |x+8| -5
The vertex is (5,-9)
The vertex, what is it?A vertex is a point on a polygon where two rays or line segments meet, the sides, or the edges of the object come together. Vertex is the plural form of vertices.
The function is given as f(x) = (x - 8) (x - 2)
Taking the parentheses out
f(x) = x2 - 2x - 8x + 16
f(x) = x2 - 10x + 16
The function's vertex is (h, k)
h = -b / 2a
Changing the values
h = - (-10) / 2 (1) (1)
h = 10 / 2
the x coordinate for h = 5
changing the quadratic function's x value
f(5) = (5 - 8) (5 - 2) (5 - 2)
f(5) = (-3) (3) (3)
f(5) = k = -9
Consequently, the vertex is (5, -9).
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2.5kg of potatoes cost £1.40. Work out the cost of 4.25kg of potatoes
The cost of 4.25kg of potatoes will be £2.38
What is proportion?A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 4(for every one boy there are 3 girls) 1 / 4 are boys and 4 / 5 are girls. 0.20 are boys (by dividing 1 by 5). It can also be defined as the size, number, or amount of one thing or group as compared to the size, number, or amount of another.
The cost of 2.5kg of potatoes is £1.40
Therefore the cost of 1kg potatoe = 1.40/2.5 = £0.56
This means that the cost of 4.25 kg = 0.56× 4.25
= £2.38
Therefore the cost of 4.25kg of potatoes is £2.38
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A linear equation is a(n) _____ because the greatest degree of the variable is 1.
Linear equation: If the maximum power of the variable/symbol in an equation is one, then the equation is called a linear equation.
An example of a linear equation is x + y = 10.
Definition of Degree: The maximum power in an equation of variable is known as a degree.
So, the degree of a linear equation is 1.
Linear equations are equations based on the first order. The linear equations are explained for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e., only one variable), then it is known as a linear equation in 1 variable.
If a linear equation can have more than one variable. If the linear equation has two or more two variables, then it is called a linear equation with two variables, and so on.
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Gabriel models the volume of a popcorn box as a right rectangular prism. Its dimensions are 2 1/2 in by 2 3/4 in by 5 in. If the box contains 26 cubic inches of popcorn, what percent is full? Round your answer to the nearest whole number if necessary. please really asap brainliest
To find the percent full of the popcorn box, we need to divide the volume of popcorn in the box by the total volume of the box, and then multiply by 100 to convert the result to a percentage.
First we need to find the total volume of the box:
V = l x w x h
V = (2 1/2 in x 2 3/4 in x 5 in) = (5/2 in x 7/4 in x 5 in) = (35/4 in^3) = 8.75 in^3
Now we can calculate the percent full:
percent = (26 in^3 / 8.75 in^3) x 100 = 2.97 x 100 = 297%
The popcorn box is 297% full.
It's worth noting that 297% means that the popcorn box is almost 3 times full
Jared is planning a trip to an amusement park. At this amusement park, there is a general admission charge plus a cost per ride. A certain number of rides are included with the general admission. To determine the average cost per ride, Jared created this expression, where x represents the number of rides Jared will ride:(39.87+2(x-5)(1/2) Q1 Identify the factors of Jared’s expression. Which factor represents the total cost of Jared’s trip to the amusement park? Q2 Identify the terms in the first factor of the expression. Based on the situation, identify what each term represents. What is the coefficient of the second term of the first factor? Q3What does this represent in terms of the situation? Q4 Based on Jared’s expression, how many rides are included with the cost of general admission? Explain your answer.
The evaluation of Jared's expression for the average cost per ride at the amusement park indicates;
Q1) The factors are;
First factor = (39.87 + 2·(x - 5)
The second factor = (1/x)
The factor that represents the total cost of Jared's trip is the first factor
Q2) The terms in the first factor are;
The general admission charge = 39.87
The fee for the rides Jared rides = 2·(x - 5)
The number of free rides = 5
The coefficient of the second term is 2
Q3) The cost per ride
Q4) 5 rides
What is a mathematical expression?A mathematical expression is a combination symbols and operators that together, produces the quantity in the context.
The expression Jared creates to determine the average cost is presented as follows;
((39.87 + 2·(x - 5))·(1/x)Q1) The factors of Jared's expression are;
The first factor = (39.87 + 2·(x - 5)
The second factor = 1/x
The total cost of Jared's trip to the amusement park= (39.87 + 2·(x - 5)
The factor that is used to fined the unit rate Jared spends per ride = 1/x
Q2) The terms in the first factor are;
The general admission of 39.87The cost per ride of $2The number of rides included with the general admission = 5 ridesThe number of rides Jared rides = xThe second term in the first factor is 2·(x - 5)The coefficient of the second term of the first factor is 2, which represents the cost per ride
Q3) The coefficient of the second term in the first factor, 2, represents the amount Jared pays per ride in the amusement park
Q4) The number of rides Jared pays for is found using the second term of the fist factor, 2·(x - 5), the number of rides Jared rides, x less the 5, therefore, indicates;
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23.1 + 1 7/10-blank = 66/10
Answer:
blank = 18.2
Step-by-step explanation:
17/10 = 1.7
66/|0 = 6.6
Then:
23.1 + 17/10 - x =66/10
is equivalent to:
23.1 + 1.7 - x = 6.6
24.8 - x = 6.6
24.8 - 6.6 = x
18.2 = x
Check:
23.1 + 1.7 - 18.2 = 6.6
Find the value of x in the triangle below 55° x° 85°
Answer:
x = 130°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.
To simply put:
x = 85 + 55
x = 130°