A car starts from an office building, which is 5 miles east and 2 miles south of the town center. The car travels 6 miles north, makes a left turn and then travels 8 miles. What is the car’s final position? What single translation vector moves the car from its starting position to its final position?

Answer:

[tex] 5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}[/tex]

Step-by-step explanation:

Answer: 2.3

Step-by-step explanation:

Janet can make 3/4 of a necklace in 10 minutes.

We need to find how many necklaces she can make in 1 hour.

1 hour = 60 minutes

We can rewrite it as:

1 hour = 3*(20 minutes)

So Janet can create three 3/4 necklaces in 1 hour

Therefore, the total necklaces Janet can make in 1 hour = 3*(3/4) = 9/4 = 2.25

To the nearest tenth of a necklace = 2.3 necklaces

Answer:

9.30 × 10⁰ bro that was so easy

Answer:

D

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{24}{-4}[/tex] = - 6 , then

S₈ = [tex]\frac{-4((-6)^{8}-1) }{-6-1}[/tex]

     = [tex]\frac{-4(1679616-1)}{-6-1}[/tex]

     = [tex]\frac{-4(1679615)}{-7}[/tex]

      = [tex]\frac{-6718460}{-7}[/tex]

      = 959,780

Check the picture below.

[tex](s)(s)=144\implies s^2=144\implies s=\sqrt{144}\implies s=12 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of the cube}}{(s)(s)(s)\implies s^3}\implies 12^3\implies 1728~in^3[/tex]

Answer:

1728 in³

Step-by-step explanation:

Given that,

→ Area = 144 sq in

Then the length will be,

→ a² = 144

→ a = √144

→ [ a = 12 ]

Formula we use,

→ V = a³

Now required volume will be,

→ a³ = 12³

→ 12 × 12 × 12

→ 1728 in³

Hence, the volume is 1728 in³.

Answer:

14

Step-by-step explanation:

40 plus 2 is 42

42 divided by 3 is 14

Answer:

560

Step-by-step explanation:

If this isn't correct Im sorry I rushed it should be right but if not it should be close.

Answer:

it should take the workers 18 days to finish

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

According to the volume equation of a sphere (V=4/3πr³)

8.4/2 equals a radius of 4.2, which when cubed equals 74.088 (base area). You then multiply your base area by the numerator of 4/3, giving you 296 when rounded or 296.352 when not rounded. Giving you the answer of C.

Answer:

D. 57

PLEASE GIVE BRAINLIEST THANK YOU!!!

Answer:

D

Step-by-step explanation:

using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

substitute x = - 3 into f(x)

f(- 3) = 4([tex](2)^{-3}[/tex] = 4 × [tex]\frac{1}{2^{3} }[/tex] = 4 × [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{2}[/tex]

The trigonometric expression sin 30° will be equal to cos 60°. Then the correct option is E.

We can use the fact that:

sin(θ) = cos(90 - θ)

To convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).

The trigonometric expression sin 30° will be equal to

The sin 30° can be written as

sin 30° = cos(90° - 30)

sin 30° = cos 60°

Then the correct option is E.

Learn more about sine to cosine conversion here:

https://brainly.com/question/1421592

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Answer:

B) D) E)

Step-by-step explanation:

Basically, the more days missed, the lower their grades are, so it is a negative linear relationship that has no clusters or outliers.

Reason:

If you were to draw a line through the points mentioned in choice A, the line wouldn't be close to the points since (4,15) isn't close to the points. The same goes for (10,7). So we can rule out choice A. Choices B and C are similar stories.

Choice D on the other hand has its line fairly close to all of the points.

Last option

(0,13)

(10,0)

So

both will contain most no of plots so Option D is correct

Answer: 104 degrees

Step-by-step explanation:

Write the coefficients of the x-terms as the numbers down the first column.

Write the coefficients of the y-terms as the numbers down the second column.

If there are z-terms, write the coefficients as the numbers down the third column.

Draw a vertical line and write the constants to the right of the line.    

Answer:

c

Step-by-step explanation:

Answer:

P': (-9,10)

Q': (-2,10)

R':(-2,0)

S':(-9,0)

Answer:

the answer for all of this question should be.

P=(-9,-10)

Q=(-2,-10)

R=(-2,0)

S=(-9, 0)

so hopefully those are the correct answers and sorry if i get them wrong because i tried my best i could as possible to get them right so have a great day.

Step-by-step explanation:

Answer:

discrete?

according to probability of basic things we know that there are more people different than same so there is more than enough probability of those sizes being discrete.

Answer:

Volume of Cone=1/3πd²/4×h

= 1/3π×7²/4×9

= 36.75cm³

Answer:

x = 4

Step-by-step explanation:

10(x - 1) = 8x - 2

10x - 10 = 8x - 2

10x = 8x + 8

2x = 8

x = 4

Answer:

3. 26 problems left

4. $69.20

Step-by-step explanation:

1. First I divided 5 into 2 to get a decimal, 0.4, and then I multiplied 0.4 to 65.

0.4 x 65 = 26

2. It said that Luke paid 2.75 for himself and 6 other friends, which is 7 people. I then multiplied 2.75 x 7 and got 19.25. I then added 19.25 to the other amount of money, and got 69.20.

49.95 + 19.25 = 69.20

Hope this helps <3

Answer:

||−14+(−5)||

Step-by-step explanation:

Answer:

We are given a length of 9 cm and a width of 4 cm and we are also told that it our shape is a rectangle.  This means that we are able to use the rectangle formula which is [tex]A=l*w[/tex].

Therefore, we can just multiply 9 cm by 4 cm and we get [tex]A = 36\ cm^2[/tex]

Hope this helps!  Let me know if you have any questions

The equation of the hyperbola is [tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]

The foci are given as:

(1, 7) and (1, -13)

The foci of a hyperbola are represented using: (m, n+p) and (m, n-p)

Where the center of the hyperbola is (n,p)

By comparison, we have:

m = 1

n + p = 7

n - p =13

Where n = ae

The solution to the above system of equations is

m = 1, n = 10 and p = -3

The directrix is given as:

y = 64/10

The directrix is represented as:

y = a/e

So, we have:

a/e = 64/10

Substitute n = ae in n = 10

ae = 10

Solving ae = 10 and a/e = 64/10, we have:

a = 8 and e = 10/8

To calculate b, we make use of:

[tex]b = a\sqrt{(e^2 - 1)[/tex]

So, we have:

[tex]b = 8\sqrt{(\frac{10}{8}^2 - 1)[/tex]

Evaluate

b = 8 * 0.75

b = 6

The equation of the hyperbola is then calculated using:

[tex]\frac{(y - p)^2}{a^2} -\frac{(x - m)^2}{b^2} = 1[/tex]

This gives

[tex]\frac{(y + 3)^2}{8^2} -\frac{(x - 1)^2}{6^2} = 1[/tex]

Evaluate

[tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]

Hence, the equation of the hyperbola is [tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]

Read more about hyperbola at:

https://brainly.com/question/3405939

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The y-intercept of the line 15 - 3y = x is ( 0 , 5 )

Sure hope this helps you