2
In the diagram above, Z1 = 135°,
Find the measure of Z2.
22 = [?]°

Answer:

x≥-4

Step-by-step explanation:

-8x≤36-4

-8x≤32

x≥32/-8 when divide by minus you flip  from≤ to ≥

x≥-4

Answer:

x ≥-4

Step-by-step explanation:

-8x+4 ≤ 36

Subtract 4 from each side

-8x+4-4 ≤ 36-4

-8x ≤ 32

Divide by -8 remembering to flip the inequality

-8x/-8 ≥ 32/-8

x ≥-4

Answer:

Alice

Step-by-step explanation

Ben=1+3

Cindy=2+5

Dave=4+7

Alice=10+6

Ellen is 9+8

The answer is gonna be Alice because you can only use each number once.

POSSIBLE SCORES

Alice 16

6,10

7,9

(8+8 won't work because that would be a repeating number)

Ben 4

1,3

(2+2 won't work because that would be a repeating number)

Cindy 7

1,6

2,5

3,4

Dave 11

1,10

2,9

3,8

4,7

5,6

Ellen 17

7,10

8,9

Since the only possibilities for Ben is hitting 1 and 3, all other people can't hit 1 or 3.

Alice 16

6,10

7,9

Cindy 7

2,5

Dave 11

2,9

4,7

5,6

Ellen 17

7,10

8,9

Since the only possibilities for Cindy is hitting 2 and 5, all other people can't hit 2 or 5.

Alice 16

6,10

7,9

Dave 11

4,7

Ellen 17

7,10

8,9

Since the only possibilities for Dave is hitting 4 and 7, all other people can't hit 4 or 7.

Alice 16

6,10

Ellen 17

8,9

Ellen must have hit 8 and 9. Alice must have hit 6 and 10.

Alice hit 6 points.

Answer:

a

Step-by-step explanation:

Answer:

B. 68% of the molecules have speeds between 450 meters/second and 550 meters/second.

Step-by-step explanation:

Since there is a standard deviation of 50 meters per second, and the mean speed is 500 meters per second, the speeds would range between 500 - 50 meters per second and 500 + 50 meters per second, which would be a range of 450 to 550 meters per second.

If you remember the Empirical Rule (68-95-99), things that are one standard deviation from the mean are within 68% of the data. Two standard deviations would include 95% of the data. Three standard deviations would include 99% of the data. Since this question just covers one standard deviation, 68% of the molecules have speeds between 450 meters per second and 550 meters per second.

Hope this helps!

Answer:

69.12

Step-by-step explanation:

i used a calculator and the formula

Answer:

E.

Step-by-step explanation:

so first you would add 8 to both sides to get

3w = t + 8

then divide both sides by 3

w = (t + 8) / 3

So the answer is E.

Answer: E) w = (t+8)/3

Step-by-step explanation:

Solve for w in terms of t means you have to isolate w.  Thus, simply do the following:

[tex]3w-8=t\\3w=t+8\\w=\frac{t+8}{3}[/tex]

Hope it helps <3

Answer:

1) 600-t

2) 600-t=65

=>t=535

Answer:

It is A $288,000

Step-by-step explanation:

Answer:

  A.  $22,032

Step-by-step explanation:

FICA includes both social security tax (6.2%) and Medicare tax (1.45%), for a total tax rate of 7.65%.

  0.0765 × $288,000 = $22,032 . . . FICA tax

Answer:

Hey there!

Let's pretend that there are only 9 people in that class. Thus, if 2/9 were women, then 2 people would be women.

Thus, 7 people would be men.

The ratio of men to women would be 7:2.

Hope this helps :)

Answer:

24 cm

Step-by-step explanation:

The photo was 6 cm wide, and was made into 18 cm wide. Divide 18 with 6:

18/6 = 3

To solve for the length enlargement, multiply 3 with the length, or 8 cm:

8 x 3 = 24

24 cm is the length of the enlargement.

~

Answer:

Turkey - No

Brazillian - 8160 g     and    Kenyan - 2040

Step-by-step explanation:

45 Min  x  4.4 kg = 198 Minutes

198 Min + 65 Min = 263 Min or 4.38 Hours

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

120 cups x Total Grams needed ( 85 g )  = 10200

10200 / 5     as this is a 4 : 1 ratio = 2040

2040 x 4 = 8160

2040 x 1 = 2040

Answer:

3x+5y=1025

x+y=275

Step-by-step explanation:

We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.

Equation 1

3x+5y=1025

This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.

Equation 2

x+y=275

The total amount of tickets sold was 275.

Answer:

(0,5) is the Y intercept.

Step-by-step explanation:

At Y intercept, x=0.

Answer: y intercept is (0,5)

Step-by-step explanation:

4x-9x=-5x

y=-5x+5

add 5x on both sides

5x+y=5

Answer:

Step-by-step explanation:

Answer: A.) 2 <= X <= 6

B.) 13 < = X < = 39

Step-by-step explanation:

Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week

And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.

Let X represent the number of days an employee can work per week.

According to the first statement,

X < = 6

According to the second statement,

X >= 2

An inequality to represent the range of days an employee can work will be

2 < = X <= 6

To represent the range in hours, first convert the number of days to hour. Given that an employee can work

1 day = 6.5 hours

2 days = 2 × 6.5 = 13 hours

5 days = 6 × 6.5 = 39 hours

Therefore, the range will be

13 < = X < = 39

Answer:

4928 rounded to the nearest hundred is:

4900

Step-by-step explanation:

Hope this hepls you!!

The number 4,928 will be rounded to the nearest hundred is 4900.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.

Given to round off 4928 to the nearest 100

steps to round off,

Determine the two consecutive multiples of 100 that bracket 4928

4928 is between 4900 and 5000

4950 is the midpoint between 4900 and 5000

from the number line, 4928 is less than the midpoint 4950,

Therefore, 4928 rounded to the nearest 100 is 4900.

Hence the digit is 4900.

Learn more about rounding off numbers;

brainly.com/question/13391706

#SPJ2

Answer:

x^2 - 10 = (p - 9)(x)

Step-by-step explanation:

Please indicate exponentiation with the symbol " ^ ":  p(x) = x^2 - 1.

To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:

(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)

Answer:

43

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

divide 65/8 and then multiply that by 3 and round to the nearest whole number

Rounded it is 11.7 cubic cm.

Answer:

Box 1=5 Box2=6 Box3=8 Box4=200

Step-by-step explanation:

Answer:

Step-by-step explanation:

No.of balloons each will get = 5

no.of greeting cards = 6

no.of apples in each basket = 8

no. of words = 200words

hope it helps

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

          = x^2 + 10x + 25 - 18

          = (x + 5)^ - 18

          = (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

£99. semoga membantu maksih

Answer:

The answer is 99 dollars

Step-by-step explanation:

Not showing workout...

Just showing how

1) Multiply 1.1452 * 270

2) Multiply 0.89 * 270

3) Subtract the second step from the first step

Hope this helps....

Answer:

Option B.

Step-by-step explanation:

The given expression is

[tex]\dfrac{x^2+y^3}{2+x}[/tex]

We need to find the value of given expression when x=6 and y=2.

Substitute x=6 and y=2 in the given expression.

[tex]\dfrac{x^2+y^3}{2+x}=\dfrac{(6)^2+(2)^3}{2+(6)}[/tex]

                   [tex]=\dfrac{36+8}{8}[/tex]

                   [tex]=\dfrac{44}{8}[/tex]

                   [tex]=5.5[/tex]

The value of given expression is 5.5 when x=6 and y=2.

Therefore, the correct option is B.

Answer:

he given expression is

We need to find the value of given expression when x=6 and y=2.

Substitute x=6 and y=2 in the given expression.

The value of given expression is 5.5 when x=6 and y=2.

Therefore, the correct option is B.

Step-by-step explanation:

Answer:

AD= 5.82 units (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

*skipped these steps in the beginning:

∠ABC +∠ABD= 180° (adj. ∠s on a str. line)

90° +∠ABD= 180°

Answer:

A. 4 yards = 12 ft

9 ft : 12 ft = 3:4

B. 5 gallons = 20 quarts

20 quarts : 8 quarts = 5:2

C. 2 meters = 200 cm

800 cm : 200 cm = 4:1

Answers:

A) 3:4

B) 5:2

C) 4:1

Step-by-step explanation:

Convert 4 yards to feet.

1 yard = 3 feet

4 yards = 12 feet

9 feet : 12 feet

Simplify the ratio.

9/3 : 12/3

3 feet : 4 feet

3 : 4

Convert 8 quarts to gallons.

1 quart = 0.25 gallons

8 quarts = 2 gallons

5 gallons : 2 gallons

5 : 2

Convert 2 meters into centimeters.

1 meter = 100 centimeters

2 meters = 200 centimeters

800 centimeters : 200 centimeters

Simplify the ratio.

4 : 1

Answer:

The critical value that corresponds to a confidence interval of 81.2% is 1.32.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

In this case the sample selected is of size, n = 63.

As the sample size n = 63 > 30, the sampling distribution of sample mean will be approximately normal.

So, a z-interval will be used to estimate the population mean.

The confidence level is, 81.2%.

The value of α is:

[tex]\alpha=1-\text{Confidence Level}\\\\\alpha=1-0.812\\\\\alpha=0.188[/tex]

The critical value is:

[tex]z_{\alpha/2}=z_{0.188/2}=z_{0.094}=- 1.32\\\\z_{1-\alpha/2}=z_{1-0.188/2}=z_{0.906}= 1.32[/tex]

*Use a z-table.

Thus, the critical value that corresponds to a confidence interval of 81.2% is 1.32.

Answer:

2 1/4

Step-by-step explanation:

13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)

Answer:

2 1/4

Step-by-step explanation:

13/4 = 3 1/4

1 = 1

3 - 1 = 2 1/4

Answer:

c. We use tan∅ to solve

d. x ≈ 45.64 ft

Step-by-step explanation:

Step 1: Draw out the picture

When we do so, we should be able to see that we are solving for the horizontal leg.

Step 2: Find the trig

tan78° = 214.7/x

xtan78° = 214.7

x = 214.7/tan78°

x = 45.6359

Answer:

B.

Step-by-step explanation:

Since the variable b is manipulated in f(x) = a(bx - h)² + k, we are dealing with horizontal compression and stretching. Since b < 1, that means the graph is being horizontally compressed.

Answer:

x = 15.4

Step-by-step explanation:

Tan 33 = [tex]\frac{opposite }{adjacent}[/tex]

Where opposite = 10, adjacent = x

=> 0.649 = 10/x

=> x = 10/0.649

=> x = 15.4