If you are traveling in your car at an average rate of r miles per hour for T hours, then the distance d in miles that you travel is described by the formula d=rt that is distance equals rate times time. A distance of 60 miles at an average rate of 40 miles per hour is covered in ___ hours?

Step-by-step explanation:

[tex] \sin( \frac{9\pi}{4} ) [/tex]

[tex]0.1230573409[/tex]

the answers are as follows:

• -15

• -7

• 5

• 13

• 21

Answer:

B. -3

your question isn't clear

Answer:

[tex]\frac{5}{2} - d[/tex]

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Answer:

360 naira hope its help

Step-by-step explanation:

brainliest me

Answer: 2 1/3

Step-by-step explanation:

We first convert this to mixed number: 5/1 / 15/7

Then cross cancel and factor to get 7/3.

Lastly we convert this back to a  mixed number.

So we get 2 1/3 or 0.667 (decimal)

cos θ = Adjacent/ hypotenuse

cosθ= 5/13

a²+b²= c²

a² + 5² = 13²

a² = 13² - 5²

a² = 144

a=√144

a= 12

a is the opposite = 12

b is the Adjacent = 5

c is the hypotenuse = 13

a) tan θ= opposite/Adjacent

tan θ = 12/5

b) sin θ= opposite/ hypotenuse

sinθ= 12/13

C) sec θ= hypotenuse / Adjacent

sec θ= 13/5

d) cscθ= hypotenuse /opposite

cscθ= 13/12

e) cotθ=Adjacent/ opposite

cotθ= 5/12

Answer:

[tex] \frac{0.75x - 3}{x - 1} [/tex]

Step-by-step explanation:

Equation of a rational function is

[tex] \frac{p(x}{q(x)} [/tex]

where q(x) isn't zero.

There is a vertical asymptote at

[tex]x = 1[/tex]

So this mean that our denomiator must have a zero that occur at x=1.

That zero is

[tex]x - 1[/tex]

So our denomiator is

[tex] \frac{p(x)}{x - 1} [/tex]

Since our horinzontal asymptote is a non zero value, the numerator must be a linear equation as well.

So our rational function is

[tex] \frac{ax + b}{x - 1} [/tex]

We know the graph pass through (0,3)

So if we apply that logic,

[tex] \frac{a(0) + b}{0 - 1} = 3[/tex]

[tex] \frac{b}{ - 1} = 3[/tex]

[tex]b = - 3[/tex]

And it passes through (4,0)

[tex] \frac{a(4) + b}{3} = 0[/tex]

[tex]4a + b = 0[/tex]

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

[tex]4a = 3[/tex]

[tex]a = \frac{3}{4} [/tex]

So our rational equation is

[tex] \frac{0.75x - 3}{x - 1} [/tex]

Using separation of variables, it is found that the expression for the mass, M, at any time t, is given by:

[tex]M(t) = 150e^{-kt}[/tex]

In separation of variables, supposing a differential equation in the format [tex]\frac{dy}{dx}[/tex], we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

In this problem, the differential equation is:

[tex]\frac{dM}{dt} = -kM[/tex]

Then, applying separation of variables:

[tex]\frac{dM}{M} = -k dt[/tex]

[tex]\int \frac{dM}{M} = \int -k dt[/tex]

[tex]\ln{M} = -kt + C[/tex]

[tex]M(t) = M(0)e^{-kt}[/tex]

The initial mass is of M(0) = 150, hence:

[tex]M(t) = 150e^{-kt}[/tex]

More can be learned about separation of variables at https://brainly.com/question/14318343

Answer:

Almost all trapezoids have two right angles, beacuse they are quadrilaterals, meaning they will have at least one or more right angles.

__________________________________________________________

Ask me in the comments box.

Please view image below, it supports the answer. The tiny squares in blue circles are highlighted right angles.

Answer:

1:1000

2,100 kg

Step-by-step explanation:

A linear scale of 1:10 means a volume scale of 1:1000.

The ratio of the volumes is model:real = 1:1000.

The mass is proportional to the volume.

The real car has a volume 1000 times the volume of the model, so its mass is also 1000 times the mass of the car.

mass of real car = 1000 × 2.1 kg = 2100 kg

Answer:

9

Step-by-step explanation:

i dont know 100% but i think is 9

Linear equations are usually organized in slope-intercept form, which looks like this:

[tex]y=mx+b[/tex]

To find the equation of a line in slope-intercept form:

We're given:

First, plug the given slope into the slope-intercept form equation:

[tex]y=mx+b\\\\y=\dfrac{1}{2}x+b[/tex]

Now, determine the y-intercept.

[tex]y=\dfrac{1}{2}x+b[/tex]

⇒ Plug in the given point (4,1) and solve for b:

[tex]1=\dfrac{1}{2}(4)+b\\1=2+b\\b=-1[/tex]

⇒ Therefore, the y-intercept is -1. Plug this back into our original equation:

[tex]y=\dfrac{1}{2}x-1[/tex]

[tex]y=\dfrac{1}{2}x-1[/tex]

Answer:

Parabola opens upwards, so it's a vertical parabola. Vertex at origin (0,0) and focus at (0,2). Standard equation of this parabola is

| (X — h)^2 = 4p(Y — k) |

Focus is at (0,2), so distance between vertex and focus, which is p is 2 units. So 4p = 8 units.

So the equation of this parabola is,

(X — 0)^2 = 8(Y — 0)

X^2 = 8Y or Y = X^2/8

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

a-8x =4-8×-6

=4-(-48)= 4+48=52

Answer:

the answer is 66.67%

Step-by-step explanation:

54.90-18.30=36.60

36.60÷54.90×100=66.666666666... or 66.67%

Answer:

Ratio

Step-by-step explanation:

1. Your checking account number as a name for your account. Nominal (renaming)

2. Your checking account balance as a measure of the amount of money you have in that account. Ratio

3. Your checking account balance as a measure of your wealth. Interval

4. The number you get from a machine (32, 33,...) as a measure of the time you arrived in line. Ordinal

5. The order in which you were eliminated in a spelling bee as a measure of your spelling ability. Interval

6. Your score on the first statistics test as a measure of your knowledge of statistics. Ratio

7. Your score on an individual intelligence test as a measure of your intelligence. Nominal

8. The distance around your forehead measured with a tape measure as a measure of your intelligence. Interval

9. A response to the statement "Abortion is a woman's right" where Strongly Disagree = 1, Disagree = 2, No Opinion = 3, Agree = 4, and Strongly Agree = 5, as a measure of attitude toward abortion. Ordinal

hope it helps:)

Given that the absolute value of a function is its positive value and the value of x is -10, hence the absolute value of x is 10

The absolute value is the positive value of any given value.

Given the equation

x + 8 = -2

Determine the value of x

x = -2 - 8
x = -10

Since x is -10, hence the absolute value of x is 10

Learn more on absolute value here: https://brainly.com/question/24368848

Answer:

figure      area     add        units (?)    (?)

Step-by-step explanation:

Might need a little more information

  last one can be   square feet      square yards    square inches   square cm  square meters   etc   etc     It depends on the dimensions of the figure which isn't shown.

Answer:

Step-by-step explanation:

The solution to the inequality will  be (B) r<-4 9/10. Don't ask me why. I just know.

[tex]\cfrac{42}{70}~~ = ~~\cfrac{u}{55}\implies \cfrac{(14)3}{(14)5}~~ = ~~\cfrac{u}{55}\implies \cfrac{3}{5}=\cfrac{u}{55}\implies \cfrac{3(55)}{5}=u \\\\\\ 3\cdot \cfrac{55}{5}=u \implies 3\cdot 11=u\implies 33=u[/tex]

The amount of material needed for the containers is its surface area

The amount of material needed for the 8 containers using the assumed parameters is 3080 square feet

The question is incomplete, as the figure of the right pentagonal prism is not given.

So, I will provide a general explanation.

The surface area (SA) of a right pentagonal prism is:

SA = 5b(a + h)

Where:

From the question, we have the height of the prism to be 8 ft.

Assume that:

a = 3 ft and b = 7 ft

The equation becomes

SA = 5 * 7 * (3 + 8)

Evaluate the product

SA = 385

The amount of material needed for the 8 containers would be:

Amount = 8 * 385 square feet

Amount = 3080 square feet

Hence, the amount of material needed for the 8 containers using the assumed parameters is 3080 square feet

Read more about area at:

https://brainly.com/question/24487155

Answer:

The answer is 1872

Step-by-step explanation:

Answer:

1.TRUE

2.TRUE

3.TRUE

4.TRUE

5.TRUE

Step-by-step explanation:

THATS MY ANSWER ON MY MODULES

hope it helps as

Answer:

Jenna's line would be: C Line L

Step-by-step explanation:

The x coordinates and y coordinates from Jenna's table matches up with the points on Line L. Hope this helped! :)

We have the following point:-

[tex]\sf{(10,5)}[/tex]

where 10 is the x-coordinate & 5 is the y-coordinate.

If we move 5 units to the left, then we subtract 5 from the x-coordinate:-

[tex]\sf{(10-5,5)}[/tex]

Hence, the point is:-

[tex]\bigstar{\boxed{\pmb{5,5}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)