Jason leaves Detroit at 4:00 PM and drives at a constant speed west along I-94. He passes Ann Arbor, 40 mi from Detroit, at 4:40 PM. (a) Express the distance d traveled in terms of the time t (in hours) elapsed. d(t)

Answer:

multiplication rule

Step-by-step explanation:

because 6 * 3p

is equal to 18p

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Answer: C

Step-by-step explanation:

See diagram above

The amount of time needed to complete a job by 5 workers is

40 minutes.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

The amount of time needed to complete a job, t, varies inversely with the number of workers.

Number of workers = W

Time to complete 1 work  = T

This means,

T = 1 / W

W = 1 / T

10 workers can complete a job in 20 minutes.

This can be written as:

10 W = 1 / 20

Divide 10 on both sides.

1 W = 1 / 200

This means,

1 worker can complete a job in 200 minutes.

Now,

1 W = 1/ 200

Multiply 5 on both sides.

5 W = 5/200

5 W = 1 / 40

This means 5 workers will take 40 minutes to complete the work.

Thus,

The amount of time needed to complete a job by 5 workers is

40 minutes.

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Answer:

7

Step-by-step explanation:

3x – 4(x - 4) + 4 = 13

=> 3x - 4x + 16 + 4 = 13

=> - x + 20 = 13

=> - x = 13 - 20

=> - x = - 7

=> x = 7

Answer:

x = 7

Step-by-step explanation:

3x – 4(x - 4) + 4 = 13

3x - 4x + 16 + 4 = 13

-x + 20 = 13

-x + 20 - 20 = 13 - 20

-x = -7

(-x = -7)/-1

x = 7

Hope this helps.

Answer:

(3x+2)^2+1

Step-by-step explanation:

Answer:

381 cm³

Step-by-step explanation:

Volume of the pot = volume of a cylinder

Volume of the pot = πr²h

Where,

π = 3.14

radius (r) = 4.5 cm

h = 6 cm

Substitute

Volume of the pot = 3.14*4.5²*6

Volume of the pot = 381.51 ≈ 381 cm³ (nearest whole number)

Answer:

[tex]{ \boxed{ \tt{trig \: identity : { \bf{ { \cos}^{2} A + { \sin }^{2} A = 1}}}}} \\ \therefore \: { \green{ \tt{ \sin A = \sqrt{1 - { \cos }^{2}A } }}} \\ \sin A = \sqrt{1 - {( \frac{3}{4}) }^{2} } \\ \sin A = \frac{ \sqrt{7} }{4} = 0.661 \\ \\ { \green{ \tt{ \tan A = \frac{ \sin A }{ \cos A} }}} \\ \tan(A ) = \frac{ \frac{ \sqrt{7} }{4} }{ \frac{3}{4} } = \frac{ \sqrt{7} }{3} = 0.882 \\ \\ { \underline{ \blue{ \tt{ becker \: jnr}}}}[/tex]

The exact values of sin (A) and tan ( A)​ are 0.661 and 0.882 respectively.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We have been given that 270º < AS 360° and cos(A)= 3/4.

We are required the exact values of sin (A) and tan ( A)​

Since, cos(A)= 3/4.

cos ²A + sin² A = 1

sin A = √ 1- cos ²A

sin A = √ 1-  (3/4) ²

Sin A = 0.661

Tan A = sin A / Cos A

Tan A = 0.661/ 3/4 = 0.882

Hence, the exact values of sin (A) and tan ( A)​ are 0.661 and 0.882 respectively.

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Answer:

429

Step-by-step explanation:

312/800 = .39

1100 x .39 = 429

Answer:

$429

Step-by-step explanation:

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

[tex]\frac{312}{800} =\frac{x}{100}[/tex]

Cross multiply

[tex]800x=31200[/tex]

Divide both sides by 800

[tex]x=39[/tex]

So, Niu earned 39% on the investment of $800

So, let's find out how much $1,100 would have earned him in the same investment.

--------------->>>>

[tex]\frac{x}{1100}=\frac{39}{100}[/tex]

Cross multiply

[tex]100x=42900[/tex]

Divide both sides by 100

[tex]x=429[/tex]

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

This means that Niu $1,100 would have earned Niu $429 in the same investment.

Hope this is helpful

Answer:

4653

Step-by-step explanation:

I am not sure if that 47 in also in litres but if yes then

step 1

1litre=99p

47litre=?

step2

cross multiply such that

47litre × 99p

step3

devide by by 1litre

47litre ×99p

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

1litre

so litre counsels litre then your answer will be in pounds so 47×97p÷1=4653

Answer:

7x + 14

Step-by-step explanation:

the first thing to do is expand the parentheses/brackets.

3(5x + 2) -2(4x - 4) will be

3(5x) + 3(2) -2(4x) -2(-4)

= 15x + 6 - 8x + 8

collect like terms

15x - 8x + 6 + 8 = 7x + 14

the answer is 7x + 14

Answer:

3(5x+2)-2(4x-4)

15x+6-8x+8

15x-8x+6+8

7x+14

Answer:

if he is the to form a 666

Step-by-step explanation:

what

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2

2

9514 1404 393

Answer:

  D.  21/2

Step-by-step explanation:

It is probably easiest to add up the three terms.

For n=1, the first term is ...

  8(1/4)^(0) = 8

The second term is ...

  8(1/4)^1 = 2

The third term is ...

  8(1/4)^2 = 8/16 = 1/2

The sum of the series is ...

  8 + 2 + 1/2 = (16 +4 +1)/2 = 21/2

Answer:

A = 50.2 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2  where r is the radius

A = (3.14) * 4^2

A =50.24

To 1 decimal place

A = 50.2 cm^2

Answer:

50.3 cm^2 to 1 dec. place.

Step-by-step explanation:

Area = pi r^2

= pi * 4^2

= 16 * pi

= 50.265

Answer:

its b because when subtract 30-24=6

Answer:

Step-by-step explanation:

If a point (x, y) is reflected across a line, image of the point will be at the same distance from the line as the original point is.

In fact line of reflection works like a mirror.

In the figure attached,

Distance of point B from the line 'm' = 6 units

Therefore, distance of the image point B' from line 'm' = 6 units (on opposite side of the line of reflection)

Answer:

a. H0: μ<14

H1: μ≥14

Step-by-step explanation:

Mean symbol:

The mean symbol is given by [tex]\mu[/tex]

A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz.

At the null hypothesis, we test if the proportion is of less than 14 oz, that is:

[tex]H_0: \mu < 14[/tex]

At the alternative hypothesis, we test if this proportion is of at least 14 oz, that is:

[tex]H_1: \mu \geq 14[/tex]

So the correct answer is given by option a.

Answer:

D

Step-by-step explanation:

For this question, we know that x represents the thousands of square feet in the stadium. We also know that the stadium is 18 thousand square feet. Therefore, the amount of thousands of square feet, or x, is 18. We can then plug 18 in for x in the equation, getting

[tex]C(x) = \frac{7250000}{18+60} \\= \frac{7250000}{78}\\= 92948[/tex]

as our cost

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, the turning point at (-4, -16) is a local minimum. It is a minimum because the curve goes upward either side of it. It is local (not global) because the curve has values that are lower than -16 at other values of x.

__

Similarly, the point (4, 16) is a local maximum.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Option C

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\text{\underline{The Slope Formula Is:}}\\\\m=\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1)\text{ and } (x_2,y_2)\text{ are two points given.}\\\\\text{We are given the points: } (3,5) \text{ and } (9,2).\\\\\text{\underline{The formula for the points should be:}}\\\\m=\frac{5-2}{3-9}, \text{where } (9,2) \text{ is }(x_1,y_1)\text{ and } (3,5) \text{ is } (x_2,y_2).[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

1/3a

Step-by-step explanation:

[tex] \frac{(a - 3)}{15a} \times \frac{5}{(a - 3)} = \frac{5}{15a} = \frac{1}{3a} [/tex]

Answer:

3 1/2 hours

Step-by-step explanation:

time = distance/speed

440/110 = 4 hours

440/880 = 1/2 hours

4 minus 1/2 is 3 1/2

Answer:

hi

Step-by-step explanation:

i just need some points sorry not sorry

Answer:

a) A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

b) attached below ( Matrix dose not exist )

c) attached below  ( Matrix does not exist )

Step-by-step explanation:

a) Matrix

A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

From the matrix ; Column 1 and Column 2 Belong to COL(A)

while : (1,1)^T  =  ( 1,0 )^T +  ( 0,1 )^T  i.e. (1,1)^T  ∈  Row( A )

and (1, 2)^T. = ( 1,0 )^T + 2 ( 0,1 )^T   i.e. (1, 2)^T  ∈  Row( A )

Hence ; all requirements are fulfilled in Matrix A

b)  The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T

Matrix is Non-existent because condition is not met

attached below

c) Rank | A |

dimension of column space= 4 , dimension of Row space = 3

Given that ; column space ≠ Row space

Hence Matrix does not exist

Answer:

n/5 = 18

Step-by-step explanation:

Quotient means division.

n/5 = 18

Answer:

( h + 5 )^2 + ( y - 8 ) ^2 = 49

Step-by-step explanation:

Equation of a circle:

( x - h )^2 + ( y - k )^2 = r^2

Where ( h , k ) = center and r = radius

We are given that the circle has a center at ( -5 , 8 ) meaning that h = -5 and k = 8

We are also given that the circle has a radius of 7 meaning that r = 7

Now that we have identified each variable we plug the values into the equation

( h - (-5)^2 + ( y - 8 )^2 = 7^2

Our final step is to simplify

we get that the equation of the circle is

( h + 5 )^2 + ( y - 8 ) ^2 = 49

By the way ^ means exponent

Answer:

What do you mean

Step-by-step explanation:

Answer:

y = 64°

Step-by-step explanation:

From the picture attached,

m(∠E) = 90°

m(∠E) = m(∠D)

m(∠B) + 67° = 180° [pair of linear angles]

m(∠B) = 113°

m(∠C) + 75° = 180°

m(∠C) = 180° - 75°

           = 105°

Since, sum of interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides

For n = 5,

Sum of interior angles = (5 - 2) × 180°

                                     = 540°

m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°

m(∠A) + 113° + 105° + m(∠D) + 90° = 540°

(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]

2(m∠D) = 232

m(∠D) = 116°

m(∠D) + y° = 180° [Linear pair of angles]

116 + y = 180

y = 64°

Answer:

ok

Step-by-step explanation:

Answer:

[tex]0.\overline{369} = \frac{41}{111}[/tex]

Step-by-step explanation:

x = 0.369369369...

10x = 3.69369369...

100x = 36.9369369...

1000x = 369.369369...

1000x - x = 369

999x = 369

[tex]x = \frac{369}{999} \\\\x = \frac{123}{333}\\\\x = \frac{41}{111}[/tex]