complete the table for each equation and graph b) y=7-3x

Answer:

3

Step-by-step explanation:

Answer:

C ) y = -2x

Step-by-step explanation:

(2, -4)

y = -2x

subsitute x for the value of x

y = -2(2)

-2 × 2 = -4

y = -4

so

the equation for the point (2, -4) is

y = -2x

Answer:

A, B, E

Step-by-step explanation:

Notice that A, B, and E all maintain their common ratios, while C and D do not.

The angles in the circle is as follows:

m∠1 = 25 degrees

m∠2 = 12.5 degrees

The angle subtended by an arc of a circle at its centre is twice the angle it subtends anywhere on the circle's circumference.

The measure of an arc is the measure of its central angle. Therefore,

m∠1 = 360 - 160 - 175

m∠1 = 200 - 175

m∠1 = 25 degrees

Therefore, let's find the other angle m∠2.

m∠2 = m∠1 / 2

m∠2 = 25 / 2

m∠2 = 12.5 degrees

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Answer:

E. 1/3

Step-by-step explanation:

In this sequence, the numbers are descending and are 1/3 of the previous number.

243 / 3 = 81

81 / 3 = 27

9 / 3 = 3

3 / 3 = 1

1 / 3 = 1 / 3 (the next term)

Answer: (D) No. The corresponding pairs of sides must also be marked  congruent to determine that the triangles are congruent.

==================================================

Explanation:

The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.

Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.

The list of congruent theorems is

Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.

------------

So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.

To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

Answer:

No.

Step-by-step explanation:

Given that :

Maximum accepted Ramp slope = 1/12

A new ramp with :

Height range = 5 feets

Horizontal stretch = 50 feets

Th slope = Rise / Run = Height range / horizontal stretch = 5 / 50 = 1 / 10

1 / 10 > 1 / 12

This means the new ramp's slope is greater than than the maximum slope specification ; and hence not acceptable

Answer:

\(x = \frac{39}{2}\)

\(y = -\frac{29}{2}\)

Step-by-step explanation:

Given

\(x + y= 5\) --- (1)

\(7x + 9y = 6\) ---- (2)

Required

Find x and y

Make x the subject in (1)

\(x + y= 5\)

\(x = 5 - y\)

Substitute 5- y for x in (2)

\(7x + 9y = 6\)

\(7(5 - y) + 9y = 6\)

Open bracket

\(35 -7 y + 9y = 6\)

Collect like terms

\(-7y + 9y = 6 - 35\)

\(2y = -29\)

Divide both sides by 2

\(y = -\frac{29}{2}\)

Substitute this for y in \(x = 5 - y\)

\(x = 5 - (-\frac{29}{2})\)

\(x = 5 +\frac{29}{2}\)

L.C.M

\(x =\frac{10+29}{2}\)

\(x = \frac{39}{2}\)

Answer:

Let's denote the length, width, and

height of the cuboid as "l", "w", and

"h, respectively. Then, we have:

lw= 24 (Area of one face)

Ih 32 (Area of another face)

wh 48 (Area of the third face)

To solve for the dimensions of the

cuboid, we can use a system of

equations. We can start by solving

for one of the variables in terms of

the other two. For example, from the

first equation, we have:

W 24/

Substituting this into the second

equation, we get:

Ih 32

I(24/)h = 32

24h 32

h 32/24

h 4/3

Next, we can substitute the values of

h and w into the third equation to

solve for:

wh = 48

I(24/)(4/3) = 48

I2 72

= sqrt(72)

I= 6sqrt(2)

Finally, we can use the values of I

and w to solve for the remaining

dimension:

lw 24

(6sqrt(2))(24/(6sqrt(2))) = 24

W = 4sqrt(2)

Therefore, the lengths of the sides of

the cuboid are:

Length () = 6v2 cm

Width (w) = 4/2 cm

Height (h) = 4/3 cm

Answer:

20 cups of flour should be used if 80 cups of sugar are used.

Step-by-step explanation:

In the recipe, for every 6 cups of flour, there are 24 cups of sugar. Thus, the ratio of flour to sugar is 6:24, which could be simplified to 1:4.

80 cups of sugar will be used in the given scenario. 80 cups is 20 times more than the number of cups in the ratio. Thus, if you multiply each side of the ratio by 20, you would get the number of each ingredient in a certain proportion.

1:4

1 x 20:4 x 20

20:80

20 cups of flour should be used if 80 cups of sugar are used.

Answer:

14 cups of flour

Step-by-step explanation:

If 2 cups of flour are mixed with 24 cups of sugar, the ratio of flour to sugar is 2:24 or 1:12.To find how many cups of flour should be used if 168 cups of sugar are used, we can set up a proportion:1/12 = x/168

where x is the number of cups of flour.

To solve for x, we can cross-multiply

:1 * 168 = 12 * x168 = 12x

Dividing both sides by 12, we get:x = 168/12x = 14

Therefore, if 168 cups of sugar are used, 14 cups of flour should be used.

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

Answer:

I think its 55° coz the angles should end up in 180°.

Plot the given coordinates of the polygon in the coordinate plane and connect it with a smooth curve.

A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end.

A coordinate plane is a two-dimensional plane created by the intersection of two number lines. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two of these number lines.

Plot the points on the graph according to the given coordinates. Connect all the points. The polygon is triangle.

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The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

no

Step-by-step explanation:

The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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Divide the number of costumers served during the second week by the number of costumers that were served on the first week, multiply by 100 and substract 100 to find the percent increase:

Therefore, the percent increase in costumers served from the first week to the second week is approximately 206%.

Answer:

Rounding to the nearest foot, the distance from point A to point B is 719 feet.

Answer:

$60  per TV sold

Step-by-step explanation:

Multiply $25 by 17 to find out how much she earned from the extended warranties

so 25 x 17 = 425

1445-425= 1020

now divide 1020 by 17 to find out how much neda earned from each TV

1020/17 = 60

Step-by-step explanation:

use length x width x height

Step-by-step explanation:

Flip f(x) about the x-axis by multiplying it by -1

  - f(x)

  the squish it skinnier by multiplying it by 4

g(x) = - 4 f(x)   = -4 x^2

The time it takes for the projectile to reach its maximum height would be 0.77 s. The time it takes for the projectile to hit the ground is 2.67 s.

The horizontal range ∆x would be 20.3 m.

To determine the time it takes for the projectile to reach its maximum height, we can use the formula:

t = (vi sin(θ)) / g

where t is the time, vi is the initial velocity, θ is the angle of launch, and g is the acceleration of gravity.

In this case, the initial velocity has a horizontal component of 7.5 m/s, so we can assume that the initial velocity is 7.5 m/s and the angle of launch is 90 degrees (since the projectile is launched horizontally). Therefore, the time it takes for the projectile to reach its maximum height would be:

t = (7.5 m/s × sin(90)) / 9.8 m/s2 = 0.77 s

To determine the time it takes for the projectile to hit the ground, we can use the formula:

t = (2 ∆y) / (vi sin(θ))

where t is the time, ∆y is the maximum height, vi is the initial velocity, and θ is the angle of launch.

Since we know that the projectile rises to a maximum height of ∆y above the end of the cannon's barrel, the initial velocity has a horizontal component of 7.5 m/s and the angle of launch is 90 degrees, we can calculate the time it takes for the projectile to hit the ground as follows:

t = (2 ∆y) / (7.5 m/s x sin(90)) = (2 ∆y) / 7.5 m/s = 2.67 s

To determine the horizontal range ∆x of the shot, we can use the formula:

∆x = (vi × t) cos(θ)

where ∆x is the horizontal range, vi is the initial velocity, t is the time, and θ is the angle of launch.

In this case, we know that the initial velocity has a horizontal component of 7.5 m/s, the time it takes for the projectile to hit the ground is 2.67 s, and the angle of launch is 90 degrees.

Therefore, the horizontal range ∆x would be:

∆x = (7.5 m/s × 2.67 s) × cos(90) = 20.3 m.

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9514 1404 393

Answer:

  (b)  x> 3 or x<-3

Step-by-step explanation:

The ∨ symbol is understood to mean "or".

  p ∨ q ≡ (x < -3) or (x > 3) . . . . . . matches the 2nd choice

If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.

If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.

Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.

This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.

Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.

Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.

It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.

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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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If two points on the line are (0,4) and (7,18). Use the points to first determine the slope and y-intercept the equation of the line is y = 2x + 4.

In mathematics, slοpe refers tο the steepness οr incline οf a line οn a graph. It is a measure οf hοw much the dependent variable changes fοr every unit change in the independent variable.

Tο determine the slοpe and y-intercept, we can use the slοpe-intercept fοrm οf the equatiοn οf a line, which is:

                                    y = mx + b

where m is the slope and b is the y-intercept.

First, we need to find the slope, which is given by:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (0, 4) and (x₂, y₂) = (7, 18).

m = (18 - 4) / (7 - 0) = 14 / 7 = 2

So the slope of the line is 2.

Next, we can use the point-slope form of the equation of a line to find the equation of the line. The point-slope form of the equation of a line is:

y - y₁ = m(x - x₁)

where (x₁, y₁) is one of the points on the line and m is the slope.

Using the point (0, 4) as our reference point, we can write:

y - 4 = 2(x - 0)

Simplifying this equation, we get:

y = 2x + 4

Therefore, the equation of the line is y = 2x + 4.

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Answer:

y = 1/4 x - 1     (y = 0.25 x - 1)

Step-by-step explanation:

x intercept: (4 , 0)

y intercept: (0 , -1)

rise: 1

run: 4

slope: rise/run = 1/4

equation: y = mx + b      m=1/4      b = -1

y = 1/4 x - 1

Answer:

64

Step-by-step explanation:

just count the blocks!

We should seperate the shape into 2 rectangles.

For the 1st one, we should find the volume by multiplying 2 by 3 by 4

This equals 24 cubic units

The 2nd shape's volume is found by 2 by 5 by 4

This equals 40 cubic units

Now we add the 2 volumes to equal 64 cubic units