Each of two trapezoidal prisms has a volume of 120 cubic centimeters. the prisms have no dimensions in common. give possible dimensions for each prism.

Answer:

180 yards on day 21

Step-by-step explanation:

just took on A P E X !!

The average speed of an object is computed as follows,

[tex]v=\frac{d}{t}[/tex] , where [tex]d[/tex] is the distance covered in the time interval of interest and  [tex]t[/tex]  is the time taken  to cover the distance.

In this problem, the distance covered is

[tex]d= 3\frac{1}{6} km =\frac{19}{6} km.[/tex] as an equivalent fraction.

The time taken for the journey is

[tex]t=\frac{1}{4} hour.[/tex].

The avarage is speed is then,

[tex]v=\frac{d}{t}[/tex]

[tex]v=\frac{(19/6)km}{(1/4)h} =\frac{19\times 4 km}{6\times 1h} =\frac{38km}{3h} = 12.67km/h.[/tex]

No, Marla is not correct. The correct new equation is 4x + 8y = 20.

No, Marla is not correct. To create a new equation that represents the same system of equations, we need to perform the same mathematical operation on both sides of the equation. In this case, Marla multiplied the left side of the equation by 2, but not the right side. To maintain equality, we need to multiply both sides of the equation by the same constant. Therefore, the correct new equation would be 4x + 8y = 20.

Solution:- Answer is 19.33%

Annual percentage rate (APR) is the yearly rate for a price which have to pay for borrowing money through credit card.

Here Caleb has an offer from a credit card issue for i=0% APR for the first 30 days.

now, effective interest rate for n= 30 days  

=[tex]r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0}{30} )^{30}-1\\\Rightarrow\ r=(1+0)^{30}-1=1-1=0[/tex]

After 30 days APR =17.68%=0.1768

n=365-30=335 days

now the effective interest rate for n=335 days

=[tex]r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0.1789}{335} )^{335}-1\\\Rightarrow\ r=(1+0.000527)^{335}-1=(1.000527)^{335}-1=1.1933-1=0.1933[/tex]

=19.33%

So the effective interest rate for 365 days =0+19.33% =19.33%

So fourth option is correct.

Answer:

17.61%

Step-by-step explanation:

just did it

Answer:

Option A. [tex]43.5\ in^{2}[/tex]  

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

[tex]A=(1/2)(b1+b2)h[/tex]

we have

[tex]b1=1\frac{1}{4}\ ft[/tex]

[tex]b2=14\ in[/tex]

[tex]h=3\ in[/tex]

Convert feet to inches first

Remember that

[tex]1\ ft=12\ in[/tex]

so

[tex]1\frac{1}{4}\ ft=\frac{5}{4}\ ft=12*\frac{5}{4}=15\ in[/tex]

substitute in the formula

[tex]A=(1/2)(15+14)3=43.5\ in^{2}[/tex]  

Answer:

43.5 in^2

Step-by-step explanation:

integers, polynomials and whole numbers

Answer:

7 on k-12

Step-by-step explanation:

7(w+1)7w+77w+77w+7−7w7217=======5(2w−3)+110w−15+110w−1410w−14−7w3w−143wwDistribute on each side.Simplify the right side.Subtract 7w from each side.Combine like terms.Add 14 to each side.Divide each side by 3.

its the first graph

A

To find the graph of the equation y = 4x + 3, plot the y-intercept at (0,3) and use the slope of 4 to plot additional points. Connect these points to form a straight line that slopes upward to the right, reflecting a positive slope.

The student has asked to identify the graph of the equation y = 4x + 3. This is an equation of a straight line where the slope (m) is 4 and the y-intercept (b) is 3. According to the properties of linear equations, for every increase of 1 on the x-axis, the value of y will increase by the slope value, which is 4 in this case. The graph will intersect the y-axis at 3, which is the y-intercept.

To graph this line, you can start by plotting the y-intercept at (0,3) on the graph. Then, use the slope to determine the next point by moving 4 units up for every 1 unit you move to the right. Repeat this process with several values of x to construct a table, for instance, at x=1, y=7, at x=2, y=11, etc. These points are then plotted and connected with a straight line to represent the graph of the equation.

Referring to Figure 12.4, we can see that the line would match figure (a) which shows a line that slopes upward to the right, because our b value (slope) is greater than 0.

Answer:

(5x - 3) • (4x + 5)

Step-by-step explanation:

To find the difference between the larger of x1 and x2 and the smaller of y1 and y2, you first identify these respective values using max and min functions. Then, simply subtract the smaller value from the larger one.

To solve this problem, we first identify the larger value between x1 and x2, and the smaller value between y1 and y2. We can do this by using the 'max' function for the variables x1 and x2 and the 'min' function for y1 and y2. Once we have identified these values, we then compute the difference between the larger of x1 and x2 and the smaller of y1 and y2. This concept is based on comparison operations in mathematics.

Here is how it would look like in a programming context:

int larger = Math.max(x1, x2);

int smaller = Math.min(y1, y2);

int difference = larger - smaller;

where 'difference' is the answer you are looking for.

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Answer:

[tex]a_{n} =\frac{-a_{n-1}}{4}[/tex].

Step-by-step explanation:

We are given a geometric sequence { -16, 4, -1, .... }

i.e. [tex]a_{1} =-16[/tex], [tex]a_{2} =4[/tex], [tex]a_{3} =-1[/tex], ...

We will first find the common ratio 'r'.

Now, [tex]r=\frac{a_{n}}{a_{n-1}}[/tex]

i.e. [tex]r=\frac{a_{2}}{a_{1}}[/tex]

i.e. [tex]r=\frac{4}{-16}[/tex]

i.e. [tex]r=\frac{1}{-4}[/tex]

Similarly, i.e. [tex]r=\frac{a_{3}}{a_{2}}[/tex]

i.e. [tex]r=\frac{-1}{4}[/tex]

So, we get that the common ratio is [tex]r=\frac{-1}{4}[/tex].

Now, the recursive formula for the geometric sequence is given by,

[tex]a_{n} =r \times a_{n-1}[/tex]

i.e. [tex]a_{n} =\frac{-1}{4} \times a_{n-1}[/tex]

i.e. [tex]a_{n} =\frac{-a_{n-1}}{4}[/tex].

Hence, the recursive formula for this sequence is [tex]a_{n} =\frac{-a_{n-1}}{4}[/tex].

The correct answer is that the other components equal 12% of the milk.

To solve this problem, one must understand that the total percentage of all components in milk must add up to 100%. Given that 88% of milk is water, the remaining percentage will be the sum of all other components in the milk.

To find the percentage of the other components, subtract the percentage of water from the total percentage:

Total percentage of milk = 100%

Percentage of water in milk = 88%

Percentage of other components = Total percentage of milk - Percentage of water in milk

Percentage of other components = 100% - 88%

Percentage of other components = 12%

Therefore, the other components in the milk make up 12% of the milk.

Complete question:- If 88% of milk is water, what percent do the other components equal?

For this case we must simplify the following expression:

[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6}[/tex]

Simplifying the numerator, dividing all the terms by 4, we have:

[tex]x ^ 2-8x + 12[/tex]

We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2

[tex]-6-2 = -8\\-6 * -2 = 12[/tex]

So, we have to:

[tex]x ^ 2-8x + 12 = (x-6) (x-2)[/tex]

Simplifying the denominator:

We rewrite -17x as -18x + x:

[tex]3x ^ 2-18x + x-6[/tex]

We factor the highest common denominator of each group:

[tex]3x (x-6) +1 (x-6)[/tex]

We factor the polynomial by factoring the highest common denominator (x-6):

[tex](x-6) (3x + 1)[/tex]

So, we have to:

[tex]3x ^ 2-17x-6 = (x-6) (3x + 1)[/tex]

Substituting in the original expression we have:

[tex]\frac {(x-6) (x-2)} {(x-6) (3x + 1)} = \frac {x-2} {3x + 1}[/tex]

ANswer:

[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6} = \frac {x-2} {3x + 1}[/tex]

Answer:

The number of dimes she has = 42

Step-by-step explanation:

Rhianna has $5.25 in dimes and nickels for a total of 63 coins.

Let the number of nickels be x and the dimes be y.

Since nickels = 0.05 cent and Dimes = 0.10 cent

Now we will form the equations.

10 y + .05 x = 5.25

5x + 10y = 525

x + 2y = 105 ------(1)

x + y = 63 ----(2)

By subtracting equation 2 from 1.

(x + 2y)-(x + y) = 105 - 63

x + 2y - x - y = 42

y = 42

By putting y = 42 in equation 1

x + 42 = 63

x = 63 - 42 = 21

Therefore

Number of dimes will be 42.

Answer:  [tex]\angle{B}[/tex]

Step-by-step explanation:

We know that if two triangles are congruent , then their corresponding sides and angles are congruent (by CPCTC).

[CPCTC is the acronym use for the property of congruent triangles that says that corresponding parts of two  congruent triangles are congruent]

Given : ΔABC  ≅  ΔMNO

Then , [tex]\angle{A}[/tex] corresponds [tex]\angle{M}[/tex] [First letter]

[tex]\angle{B}[/tex] corresponds [tex]\angle{N}[/tex] [Middle letter]

[tex]\angle{C[/tex] corresponds [tex]\angle{O}[/tex] [last letter]

Then , by CPCTC, we have

[tex]\angle{B}\cong\angle{N}[/tex]

Hence, angle B is the corresponding angle which is congruent to angle N.

Answer:The answer is B !

Step-by-step explanation:

A translation is a rigid translation that changes the location of a figure without a net reflection or rotation

The option that gives the correct image of the preimage DEFG, which is D'(-2, 5), E'(3, 5), F'(3, 3), G'(-2, 3), is; The second diagram

Please find attached a diagram showing the preimage and the image

The reason why the selected option is correct is given as follows

The given translation is T₍₋₁, ₂₎(x, y)

Coordinates of the pre-image are D(-1, 3), E(4, 3), F(4, 1), and G(-1, 1)

Required:

To find the image formed following the translation

Solution:

To translate a preimage given the measure of the translation of the x and y-values, in the form T₍₋₁, ₂₎(x, y), '-1' is added to the x-values, and '2' is added to the y-values, as follows

The coordinates of the vertices of the image are D'(-2, 5), E'(3, 5), F'(3, 3), and G'(-2, 3)

The image of DEFG is the second diagram, D'E'F'G'.

Please find attached the diagram of the image of the preimage DEFG constructed with dashes

Learn more about translation transformation here:

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Answer:

71

Step-by-step explanation:

Answer:

z = -0.5

Step-by-step explanation:

Using exponent rule:

[tex]x^a = x^b[/tex] then a = b

Given the equation:

[tex]25^{z+2} = 125[/tex]

We can write 25 and 125 as:

[tex]25 = 5 \cdot 5 = 5^2[/tex]

[tex]125 = 5 \cdot 5 \cdot 5 = 5^3[/tex]

then;

[tex]5^{2(z+2)}= 5^3[/tex]

Apply the rule:

[tex]2(z+2) = 3[/tex]

using distributive property [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]

[tex]2z+4 = 3[/tex]

Subtract 4 from both sides we have;

[tex]2z = -1[/tex]

Divide both sides by 2 we have;

z = -0.5

Therefore, the solution for the given equation is, z = -0.5