What is the volume of the prism? ​

Answer:

We can use the formula for compound interest to solve this problem. The formula is:

A = P * (1 + r/n)^(n*t)

where:

A = the amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:

A = 5000 * (1 + 0.03/12)^(12*10)

A = 5000 * (1.0025)^120

A ≈ $6,621.36

So the investment will be worth approximately $6,621.36 after 10 years.

Answer:

D.92

Step-by-step explanation:

A triangle adds up to 180

1 Step.

180-148 = 32

this is the missing angle

2 Step.

to find h

180-(32+56)= 92

Answer:

Center ( -8, 1 )

Radius ( 13 )

The net which represents the pyramid is: B. A square with a triangle connected to each side with a dotted line.

A square pyramid can be defined as a type of pyramid that has a square base, four (4) triangular sides, five (5) vertices, and eight (8) edges.

In this context, we can logically deduce that the net which represents the pyramid is a square with a triangle that is connected to each side with a dotted line as illustrated in the image attached below.

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Complete Question:

Which net represents the pyramid below? There are four squares attached left to right and a square above and below the last square. There are three rectangles connected vertically with dotted lines. There are triangles connected to the middle rectangle.

A. A hexagon with a triangle connected with a dotted line to each of the sides.

B. A square with a triangle connected to each side with a dotted line.

From the position of the metals on the electrochemical series, there would be no reaction of the solution with iron and copper.

We know that a reaction is said to have occurred between a metal and a solution if the metal is able to displace the cation that is in the solution. This displacement would in turn have a lot to do with the position of the metals in the electrochemical series.

Given that iron and copper are all less than aluminum which is the cation in the solution in the electrochemical series then it would not be possible for these metals to displace it in solution thus there would be no reaction.

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By using trigonometry, we find that Traveling directly from New York City to Buffalo would save approximately 50 miles.

To find the angle at which the engineer should build the highway, we can use trigonometry. Let's call the distance between New York City and Buffalo "d". Then, the distance traveled if going through Albany would be 170 + 280 = 450 miles.

We can use the cosine function to find the angle x:

cos(x) = adjacent/hypotenuse = d/450

x = cos^(-1)(d/450)

To find the value of x, we need to know the value of d. If we assume that the distance between New York City and Buffalo is approximately 400 miles, then:

x = cos^(-1)(400/450) = 23.6 degrees (rounded to the nearest tenth)

Therefore, the engineer would need to build the highway at an angle of approximately 23.6 degrees.

To find how many miles would be saved by traveling directly from New York City to Buffalo rather than going through Albany, we can subtract the distances:

450 - d = 450 - 400 = 50 miles (rounded to the nearest mile)

Therefore, traveling directly would save approximately 50 miles.

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The Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.

Volume can be defined as the total quantity of a substance that a container can hold at a given period of time. Also, the volume of a container is measured in:

Based on the information provided in the table above, we can infer and logically deduce that the Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.

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Answer:

No

Step-by-step explanation:

linear equation is y=mx+b(slope and y-intercept form)

Step-by-step explanation:

Hey there!

Given eqaution is;

y = x^2 - 8.

It is not a linear equation.

Reason:

The power of the equation is more than one or its power is 2.

As we know that linear equation has power one on its variable so, it can't be considered as linear equation. Example of linear equation is; y= 2x+8. where "X" variable has only "1" power.

Therefore, the equation is not a linear equation.

Hope it helps...

Answer:  d

Step-by-step explanation:because if look at the problem 8-1 is 7 and 3/4-2/3 is around 1 so it would be 6

The fractions are rewritten as so that they have a common denominator as  107/100

A fraction can be described as the part of a whole element, variable or number.

The several types of fractions are;

From the information given, we have that;

13/25 and 11/20

To rewrite the fractions, we have to determine the lowest common multiple

13/25 + 11/20

52 + 55 /100

Add the numerators , we have;

107/100

Hence, the fraction is 107/100

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Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

let's firstly convert the mixed fraction to improper fraction and proceed from there.

\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)

Answer:

2

Step-by-step explanation:

2

Answer:

________________________________________________________

Multiply all numbers by the multiplier, the smaller number, and then use any extra digits you carry, bringing you to the ten thousands place.

________________________________________________________

Ask me in the comments box, I can help.

The completed blanks in Nyala's solution that is used to prove that the measure of angle x is 40° is as follows;

If we perform a 180° rotation about the point O the following happens

Ray \(\overleftrightarrow{EF}\) maps unto ray \(\overleftrightarrow{GH}\)

Ray \(\overleftrightarrow{GH}\) maps unto ray \(\overleftrightarrow{FE}\)x

\(\overleftrightarrow{FG}\) maps unto itself

Therefore, the image of angle x will be exactly where the pre-image of 40° was. Since rotation preserve angle measure, the measure of angle x must be 40°.

The measure of an angle is the degree of rotation between the initial side and the terminal side of the angle.

The details of the method Nyala used to prove that the measure of the angle x is 40° can be found as follows;

The rotation of a line 180° about the center of the line maps onto itself, and the rotation of a line about a non colinear point, is parallel to the original line.

Whereby the center of rotation of the line \(\overleftrightarrow{EF}\) is equidistant from both the line \(\overleftrightarrow{GH}\) which is parallel to the line \(\overleftrightarrow{EF}\), the image of the line \(\overleftrightarrow{EF}\) maps to the line \(\overleftrightarrow{GH}\) following a 180° rotation about the point O, and the rotation of the line \(\overleftrightarrow{FG}\) about the point O maps unto itself, such that the angle x maps to the angle 40°, therefore;

∠x ≅ 40° (A rotation transformation is a rigid transformation)

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Answer:

a=g/q2+m

Step-by-step explanation:Let's solve for a.

ma+q2a=g

Step 1: Factor out variable a.

a(q2+m)=g

Step 2: Divide both sides by q^2+m.

a(q2+m)

q2+m

=

g

q2+m

a=

g

q2+m

Answer:

Step-by-step explanation:

Take angle A as reference angle

using sin rule

sin A=opposite/hypotenuse

sin A=10/13

sin A=0.76

\(sin^{-1}\) 0.76=49.46 degree

A=49.5 degree

The surface areas of the figures are 336, 82 and 836

From the question, we have the following parameters that can be used in our computation:

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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The resulting inequality equation in interval form is  (-∞, 19).

The range of values that might result in an inequality being true can be represented using interval notation.

There are two kinds of intervals, called open and closed (explained below), and each has a unique manner to notate it so we can distinguish between the two.

Given the inequality expression x < 19. This means that the interval must contain values that are less than 19 (19 excluded.)

The inequality x<19 as an unbounded interval is given as (-∞, 19).

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Answer:

one solution:1

infinite no. of solutions: 2

no solution:3

Step-by-step explanation:

one solution because it intersects in one point

infinite no. of solutions because we have only one line so we have infinitely many solutions.

no solution because 2 parallel will never intersect

hope I helped habibti

Answer:

8.3 is to 1d.p so to find the error interval, you divide 0.1 by 2 = 0.05

8.3 + 0.05 = 8.35

8.3 - 0.05 = 8.25

8.25<y<8.35

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

hello

to solve this question, we have to take the object part by part and solve for the area and the add them up together.

we can solve for x using pythagoran theorem

since we know the

Answer: Two-way frequency tables are especially important because they are often used to analyze survey results. Two-way frequency tables are also called contingency tables. Two-way frequency tables are a visual representation of the possible relationships between two sets of categorical data.

Step-by-step explanation:

Answer:

In pic

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Answer:

Step-by-step explanation:

If the order you select them is important

nmber of ways = 9! / (9-7)!

= (9*8*7*6*5*4*3*2*1) / (2*1)

= 9*8*7*6*5*4*3

= 181,440.

If the order does not matter:

nmber of ways = 9! / ((9-7)! * 7!)

= 9*8 / 2*1

= 36.

Answer:

may not be exact

1- surveying every fifth student who walks in

2-randomly selected people of both genders

3-asking 8 random students from each second period

4-asking 4 girls and 4 boys from each~~

5-randomly choosing a page and counting the words

Step-by-step explanation:

1-explanation; the first one is skewed two 7th graders, the third one is skewed to volleyball players, the fourth one is skewed to eight graders