A car is traveling with a velocity of 65.0 km/h. In the next 15 minutes the car gradually slows down at the end of the 15 minutes the car is traveling at 45.0 km/h what is the average acceleration of the car during the time it slows down?

Answer:

35:25

Step-by-step explanation:

seventh and eighth to sixth

7th+8th : 6th

20+15 : 25

35:25

Answer:

7 13

Step-by-step explanation:

Answer:

C. 7 and D, 13 are prime.

Hope it will help :)

Answer:

8). TN = 22 units ; 9). √165

Step-by-step explanation:

The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.

8). 6x - 56 = 3x - 17

3x = 39

x = 13

TN = 22 units

9). 4x - 17 = x + 10

3x = 27

x = 9

TN = 19

RT = [tex]\sqrt{TN^2 - RN^2}[/tex]

RT = [tex]\sqrt{361-196}[/tex] = √165 ≈ 12.8 units

Applying the properties of circumcenter of a triangle and the Pythagorean Theorem, the measure of each given segments are calculated as:

8. TN = 22

9. RT = 12.8

Recall:

8. Find TN

Given,

Thus,

6x - 56 = 3x - 17 (MT = TN = TP, because they are equidistant from the circumcenter, T.)

6x - 3x = 56 - 17

3x = 39

x = 13

TN = TP = 3x - 17

TN = 3x - 17

TN = 3(13) - 17

TN = 22

9. Find RT

Given,

Thus,

4x - 17 = x + 10 (TN = TP)

4x - x = 17 + 10

3x = 27

x = 9

TN = 4x - 17

TN = 4(9) - 17

TN = 19

To find RT, apply the Pythagorean Theorem

[tex]RT = \sqrt{TN^2 - RN^2}[/tex]

[tex]RT = \sqrt{19^2 - 14^2}\\\\\mathbf{RT = 12.8}[/tex]

In summary, applying the properties of circumcenter of a triangle and the Pythagorean Theorem, the measure of each given segments are calculated as:

8. TN = 22

9. RT = 12.8

Learn more about circumcenter of a triangle here:

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Answer:

-6

Step-by-step explanation:

3(-4) = -12

-2(-3)= 6

-12+6= -6

Answer:

-6

Step-by-step explanation:

If x = -4 and y = -3, the equation should be set up like this: 3(-4) - 2(-3). The rule is if you multiply a 1 positive number by 1 negative number, the answer will be negative.

3(-4) = -12

2(-3) = -6

Then, once you figure out the multiplication, finish up the equation by subtracting.

-12 - (-6) = -6

Answer: It’s Elvis Presley.

Step-by-step explanation: yes :)

btw the comment section is deep <3

Answer:

year 1 $520

year 2 $540.80

year 3 $562.43

Step-by-step explanation:

100 + 4 = 104

104/100= 1.04

500 X 1.04^of how many years

Answer: y = 4km + 2km*x

Step-by-step explanation:

We know that Madelyn already cycled 4km this year, so we start at that point.

Now, each time that she goes to work, she cycles 2 km in total.

Now, if she does x trips to work, then she cycles 2km x times, this means that in total she would cycle 2km*x

if we also count the 4km she already has, we have the linear equation:

y = 4km + 2km*x

This is the equation we wanted to get.

Answer:

y = -3.84.

Step-by-step explanation:

(0.4y - 3)/(1.5y + 9) = -7/5

Cross multiply:

2y - 15 = -10.5y - 63

12.5y =  -48

y = -3.84

Answer:

180sec

Step-by-step explanation:

180÷60

3

1min =60seconds

60×3

=180secinds

Given:

For cylinder P: radius = 4.25 in. and height = 14 in.

For cylinder Q: radius = 7 in. and height = 8.5 in.

To find:

The volume of each cylinder.

Solution:

Volume of a cylinder is

[tex]V=\pi r^2h[/tex]

where, r is radius and h is height. Use 3.14 for [tex]\pi[/tex].

Using the above formula, the volume of cylinder P is

[tex]V_P=(3.14)(4.25)^2(14)[/tex]

[tex]V_P=794.0275[/tex]

[tex]V_P\approx 794.03[/tex]

Using the above formula, the volume of cylinder Q is

[tex]V_Q=(3.14)(7)^2(8.5)[/tex]

[tex]V_Q=1307.81[/tex]

Therefore, the volume of cylinder P is 794.03 sq. in. and volume of cylinder Q is 1307 sq. in.

The volume of cylinder P is 794.03 sq. in. and the volume of cylinder Q is 1307 sq. in.

Suppose that the radius of the considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The given information is

For cylinder P:

radius = 4.25 in. and height = 14 in.

For cylinder Q:

radius = 7 in. and height = 8.5 in.

To find the volume of each cylinder.

The volume of a cylinder

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

where r is radius and h is height.

Using the above formula,

the volume of cylinder P

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

[tex]V = 3.14 \times (4.25)^2 \times 14 \: \rm unit^3\\\\V = 794.03[/tex]

The volume of cylinder Q

[tex]V = \pi r^2 h \: \rm unit^3\\\\V = 3.14 \times 7^2 \times 8.5 \: \rm unit^3\\\\V =1307.81[/tex]

Therefore, the volume of cylinder P is 794.03 sq. in. and the volume of cylinder Q is 1307 sq. in.

Learn more about volume of the cylinder here:

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Answer:

N=(-2,2)

G=(-2,-4)

H=(6,-4)

Answer:

We conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:

[tex]\:y=\frac{1}{2}x+\frac{13}{2}[/tex]

Step-by-step explanation:

Given the line

y+2x=4

converting into the slope-intercept form y = mx+b where m is the slope

y = -2x+4

comparing with the slope-intercept form

Thus, the slope is: m = -2

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -2

The slope of the new line perpendicular to the given line = – 1/m

                                                                                                = -1/-2 = 1/2

Using the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 1/2 and the point (-3, 5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-5=\frac{1}{2}\left(x-\left(-3\right)\right)[/tex]

[tex]y-5=\frac{1}{2}\left(x+3\right)[/tex]

Add 5 to both sides

[tex]y-5+5=\frac{1}{2}\left(x+3\right)+5[/tex]

[tex]\:y=\frac{1}{2}x+\frac{13}{2}[/tex]

Therefore, we conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:

[tex]\:y=\frac{1}{2}x+\frac{13}{2}[/tex]

Answer:

x = 2

Step-by-step explanation:

[tex]-2(1 - 4x) = 3x + 8[/tex]

[tex]=> -2 + 8x = 3x + 8[/tex]

Lets keep the variables in L.H.S .

[tex]=> 8x - 3x = 8 + 2[/tex]

[tex]=> 5x = 10[/tex]

[tex]=> x = \frac{10}{5} = 2[/tex]

Verification :-

Lets put x = 2 in the eqn.

In L.H.S -

[tex]-2 (1 - 4 \times 2)[/tex]

[tex]=> -2 (1 - 8)[/tex]

[tex]=> -2 \times -7[/tex]

[tex]=> 14[/tex]

In R.H.S -

[tex]3 \times 2 + 8[/tex]

[tex]=> 6 + 8[/tex]

[tex]=> 14[/tex]

∴ L.H.S. = R.H.S. (Proved)

Answer:

140$

Step-by-step explanation:

You can use the three rule step.

20%         ?

-------=------------

100%.    700$

Then u go 20 x 700 divided by 100 which gives you the 20% in $

Answer:

272 ft²

Step-by-step explanation:

Given that:

Width = 32 = length of base ; depth = 17 = height

Area of triangle :

A = 0.5 * base * height

A = 0.5 * 17 * 32

A = 272 ft²

Area of triangular stage = 272 ft²

Answer:

The two points are (0,1) and (0.75, 0)

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

91°

Step-by-step explanation:

x and 89 are linear equations

180 - 89 = 91

x = 91

Answer:

Decay

Step-by-step explanation:

The value, y of an investment x is given by:

y = 25000(1.16)^-x

x = number of month after investment

y = value of investment after x months

The function f(y) above is an exponential usually related in the form:

y = Ar^-x

Plugging values of x into the function :

After 1 month; x = 1

y = 25000(1.16)^-1 = 21551.724

After 2 month; x = 2

y = 25000(1.16)^-2 = 18579.072

After 3 month; x = 3

y = 25000(1.16)^-3 = 16016.441

Since y is decreasing with increasing value of x, then we have a decay

Answer:

Decay

Step-by-step explanation:

Answer:

I think it is the first one you can solve the system using either substitution, elimination, or graphing and the get the same answer.

Step-by-step explanation:

Answer: The answer is B 7/4

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf Slope = \frac{7}{8} }[/tex]

Step-by-step explanation:

[tex]\sf (x_{1},y_{1}) = (-28,-31)\\\\(x_{2},y_{2}) = (36,25)[/tex]

[tex]\sf Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\Slope = \frac{25-(-31)}{36-(-28)} \\\\Slope = \frac{25+31}{36+28} \\\\Slope = \frac{56}{64}\\\\Slope = \frac{7}{8} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

Plot your first point at coordinates (-3,-1). Then, plot your second point at (0,-2). You will notice this graph is a negative slope, given -1/3x from the equation, and that it shifts down 2 on the y-axis, given the -2 from the equation. Hope this helps!

Answer:

The answer is C

Please brainleist I need to get to next lvl

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

(2x + -3)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(-4 + x) = 0

Multiply (-3 + 2x) * (-4 + x)

(-3(-4 + x) + 2x * (-4 + x)) = 0

((-4 * -3 + x * -3) + 2x * (-4 + x)) = 0

((12 + -3x) + 2x * (-4 + x)) = 0

(12 + -3x + (-4 * 2x + x * 2x)) = 0

(12 + -3x + (-8x + 2x2)) = 0

Combine like terms: -3x + -8x = -11x

(12 + -11x + 2x2) = 0

Solving

12 + -11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + -2x)(4 + -1x) = 0

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying

3 + -2x = 0

Solving

3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -2x = 0 + -3

-2x = 0 + -3

Combine like terms: 0 + -3 = -3

-2x = -3

Divide each side by '-2'.

x = 1.5

Simplifying

x = 1.5

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

Solution

x = {1.5, 4}

Answer:

[tex]2x^2+5x-12=0[/tex]

Step-by-step explanation:

Algebra

To expand the given equation

[tex](2x-3)(x+4)=0[/tex]

we'll use the distributive property by multiplying each term of the first binomial by each term of the second binomial as follows:

[tex]2x^2+8x-3x-12=0[/tex]

Rearranging and simplifying:

[tex]\mathbf{2x^2+5x-12=0}[/tex]

Answer:

No Solution

Step-by-step explanation:

Answer:

B- Weak association, negative correlation

Answer:

b

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

you cannot add the hypotenuse with anything else to equal a leg if that makes sense