what is the slope of a line
(a) where the line crosses at the y-axis
(b) the amount the line rises on the y-axis over the amount it moves horizontally on the x-axis
(c) where the line crosses at the x-axis
(d) where the line begins​

Step-by-step explanation:

they are both linear functions. A function is linear when the degree on X is equal to 1

The correct statement states that the sales range for team 2 is greater than the sales range for team 1.

The range is defined as the difference between the maximum value to the minimum value.

Team 1

Worker's Age           Sales

25                             30,000

27                              29,000

28                              32,000

33                              35,500

Team 2

Worker's Age           Sales

25                          35,000

28                          37,000

29                          38,000

31                           65,000

Range Team 1 = 38000 - 30000 = 8000

Range Team 2 = 65000 - 29000 = 36000

Thus, The sales range for team 2 is greater than the sales range for team 1.

Learn more about the range:

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Answer:

Yes, if you know the coordinates of a point PP in your original figure as (x,y)(x,y), you can figure out the coordinates of PP following rotation and given by (x′,y′)(x′,y′) as

x′=−yx′=−y

y′=xy′=x

Let's see

#a

Take 28

#2

Take 9,10

Answer:

Two-digit number greater than 25:   32

Rewrite 32 as the difference of 2 numbers: 40 - 8

Therefore, x = 40  and  y = 8

[tex]\begin{aligned}\implies (40-8)^2 & =40^2-2(40)(8)+8^2\\ & = (4 \cdot 10)^2-(80)(8)+64\\ & = 4^2 \cdot 10^2-640+64\\ & = 16 \cdot 100-640+64\\ & = 1600-640+64\\ & = 960+64\\ & = 1024\end{aligned}[/tex]

Let a = 10

Let b = 11

[tex]\begin{aligned}\implies 10^3+11^3 & =(10+11)(10^2-10 \cdot 11+11^2)\\& = 21(100-110+121)\\ & = 21(-10+121)\\ & = 21(111)\\& = 21 (100 + 10 + 1)\\ & = (21 \cdot 100)+(21 \cdot 10)+(21 \cdot 1)\\ & = 2100 +210+21\\ & = 2310 + 21\\ & = 2331\end{aligned}[/tex]

Answer:

Step-by-step explanation:

Henry X blue

Rachel 5 blue and Y black

Jack 3 times the total of pens ( blue & black)

So

X + 5 + Y for Henry and Rachel

Jack : 3( X + 5 + Y)

Jack has 3X + 15 + 3Y.

Pens of jack 3X + 15 Blue & 3Y black.

Answer:

D

Step-by-step explanation:

Characteristics of scientific models

Out of the given options, only D is an incorrect statement.

Answer:

D

Step-by-step explanation:

Just took the test

Answer:

1.123

Step-by-step explanation:

first find the area of the circle which is 125.6/10 or 12.56.  Then divide take the square root which is around 3.54 and divide by pi which you get 1.1.23

Answer:

12.56 inches 10 × 12.56 = 125.6

The answer is 125.6 , If it is wrong i'm srry.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

here the diameter = 15, then r = 15 ÷ 2 = 7.5 , then

V = [tex]\frac{4}{3}[/tex]π × 7.5³

   = [tex]\frac{4}{3}[/tex]π × 421.875

    = [tex]\frac{4\pi (421.875)}{3}[/tex]

    ≈ 1767 cm³ ( to the nearest cubic cm )

By looking at the graph, we can see that:

For a function:

y = f(x)

We define the domain as the set of the possible inputs x, and the range as the set of the possible outputs y.

Here, to find the domain, we need to see the range of "horizontal values" that the graph takes. We can see that it goes from -7 to 6, then the domain is:

-7 ≤ x ≤ 6

The range goes from -4 to 5, so the range is: -4 ≤ y ≤ 5.

Then the correct option is the first one.

If you want to learn more about domain and range, you can read:

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Answer:

8,13,48

Step-by-step explanation:

Third = A(3) = -2 + (3-1)(5) = -2 + 10 = 8

Fourth = A(4) = -2 +(4-1)(5) = -2 + 15 = 13

Eleventh = A(11) = -2 + (11-1)(5) = -2 + 50 = 48

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the x-axis and the y-axis is 0.77 and 0.7135.

Revolving the region bordered by y = f(x) and the x-axis on the interval [a, b] around the x-axis generates the volume (V) of a solid.

The volume is given as

[tex]\rm Volume = \int _a^b \pi y^2 \ dx[/tex]

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the x-axis.

[tex]\rm Volume = \int _0^1 \pi (e^{-2x})^2 \ dx\\\\\\Volume = \int _0^1 \pi (e^{-4x}) dx\\\\\\Volume = \pi [\dfrac{e^{-4x}}{-4}]_0^1\\\\\\Volume = - \dfrac{\pi}{4} [e^{-4} - e^0]\\\\\\Volume = -\dfrac{\pi}{4} [-0.98168]\\\\\\Volume = 0.77[/tex]

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the y-axis.

[tex]\rm Volume = \pi \left [\int_{0}^{0.135} dy + \int_{0.135}^{1}\left ( \dfrac{\ln x}{-2} \right )^{2}dy \right ]\\\\Volume =0.71375[/tex]

More about the revolution of the curve link is given below.

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Answer:

be specific

Step-by-step explanation:

which shaded eing

Answer:

takes him 8.4 hrs

Step-by-step explanation:

if 1/4=18inch then 3 1/2=7/2 so 7/2 divide by 1/4=14 then 18 x 14=252

so distance is 252 miles

speed is 30mph so 252/30=8.4h

the answer might need the 0.4 in hrs too

Answer:

See below

Step-by-step explanation:

Ina right traingle   tan (angle) = (opposite side) / (adjacent side)

So  tan A  = sqrt (161)/8       exactly

The equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is 8^2 = 7^2 +11^2 - 2(7)(11) cos <P

For us to use the cosine formula, an angle must be situated between two sides of the triangle.

According to the rule;

c^2 = a^2 + b^2 - 2ab cos C

From the given diagram, if cos<P is the reference angle, then;

a = 11

b = 7

c = 8

Substiute

8^2 = 7^2 +11^2 - 2(7)(11) cos <P

Hence the equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is 8^2 = 7^2 +11^2 - 2(7)(11) cos <P

Learn more on law of cosine here: https://brainly.com/question/8288607

Answer:

1 1/2

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

3 x 1/2 = 1.5 or 1 1/2

Answer:

In exponential form given function is equal to [tex]N = b^{r}[/tex]

Step-by-step explanation:

We are given with function,

[tex]log_{b} ^[/tex] [tex]^{N} = r[/tex]

We have to express it in exponential form.

Consider,

[tex]log_{b}^[/tex] [tex]^ {N} = r[/tex]

exponential both side to the power of b as base of given log function is b.

we get

[tex]b ^{logb}[/tex] [tex]^ {N} = b^{r}[/tex]

[tex]N = b^{r}[/tex]

Therefore In exponential form given function is equal to [tex]N = b^ {r}[/tex]

The rotation of the triangle ABC 360 degrees about the y-axis forms a cone

From the question, we understand that the triangle ABC is a right triangle

The vertical cross-section of a cone is a right triangle.

This means that a right triangle can be rotated 360 degrees on one of its legs (opposite or adjacent) to form a cone

Hence, the rotation of the triangle ABC forms a cone

Read more about rotation at:

https://brainly.com/question/13147596

Answer:

Determine the solutions of the equation. What solution makes sense for the situation?

x = 8

width = 8inches

length = 13

Answer:

the x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

The vertex of the parabola is (-2,3)

So, the axis of symmetry is the line x = -2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

[tex]\qquad\qquad\displaystyle \huge Answer[/tex]

Let's check if (3 , 6) is the point of intersection of the given lines ~

[tex] \qquad \displaystyle \: y = 4x - 2[/tex]

and

[tex] \qquad \displaystyle \: y = \frac{1}{2} x + 5[/tex]

If the point is the point of intersection of these two lines, then it should satisfy both the equations ~

let's try each of them, using x coordinate of point.

[tex] \qquad \displaystyle \: y = 4(3) - 2[/tex]

[tex] \qquad \displaystyle \: y = 12 - 2[/tex]

[tex] \qquad \displaystyle \: y = 10[/tex]

So, the point didn't actually satisfy one of the equation. hence we can infer that the given statement is wrong.

No this is not the right answer. 2+9 equals 11.

Answer: 10

Step-by-step explanation:

Given that a circle has the center at

(6.0) and the circle passes through the point (2,−3).So the distance between these two points will give us the measure of the radius.So(x1,y1)=(6

So by using the distance formula the radius of the given circle is-r=√(x2−x1)2+(y2−y1)2r=√(2−6)2+(−3−0)2r=√16+9r=√25=5 unitsSo the diameter of the given circle is=2rd==2(5)d=10units

Let's see

Find distance between these points and radius

Answer:

so whats the question now?

Step-by-step explanation:

Answer:

x+1

Step-by-step explanation:

Answer:

x + 1

Step-by-step explanation:

If we take away 2x from 3x, the remaining is 1x which is simply written as x. If we take away 2 from 3, the remaining is 1. (3 - 2 = 1)

Answer:

x=6

Step-by-step explanation:

24÷4=6

so 6×4=24 because of distributive proterty meaning that x=6 :))