Round to one billion place. Drop the zeros.
28,436,297,825
30,943,267,101
45,831,246,935​

Answer:

x = 27.2

Step-by-step explanation:

Apply trigonometric function to solve for x.

Reference angle = 54°

Side length opposite to reference angle = 22

Hypotenuse = x

We would apply SOH:

Sin 54 = Opp/Hyp

Sin 54 = 22/x

x*sin 54 = 22

x = 22/sin 54

x = 27.1934955 ≈ 27.2 (nearest tenth)

Answer:

C

Step-by-step explanation:

A and B are not straight lines, so they are not linear functions.

C and D are straight lines, so they are linear. However, D fails the vertical line test, so it is not a function.

C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

A and B are not straight lines, they are not linear functions. Therefore,

C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.

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Answer:

sorry where is the parallelogram

Answer:

your question is imcomplete

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

The requried dimensions of the rectangle are 10 by 4. Option B is correct.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
To solve the problem, we can use the formula for the area of a rectangle, which is:

area = length x width

We also know that the length is 6 units greater than the width, which we can express as:

length = width + 6

We can substitute this expression for length into the formula for area, giving us:

area = (width + 6) x width

area = width² + 6width

We are given that the area is 40 square units, so we can set up the equation:

40 = width² + 6width

We can rearrange this equation into the standard quadratic form:

width² + 6width - 40 = 0

We can then use the quadratic formula to solve for the width:

width = (-b ± √(b² - 4ac)) / 2a

Plugging in the values of a, b, and c from the quadratic equation above, we get:

width = (-6 ± √(6² - 4(1)(-40))) / 2(1)

width = (-6 ± √(196)) / 2

width = (-6 ± 14) / 2

So we have two possible values for the width:

width = (-6 + 14) / 2 = 4

or

width = (-6 - 14) / 2 = -10

Since the width cannot be negative, we can reject the second solution. Therefore, the width of the rectangle is 5 units.

We can use the expression for the length in terms of the width to find the length:

length = width + 6 = 4 + 6 = 10

Therefore, the dimensions of the rectangle are 10 by 4.

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Answer:

1st, 4th and 5th are in arithmetic sequence.

Answer:

a) 1,2,3,4,5,6............

d) 3,0, -3 ,-6,-9,-12.............

e) 6,5,4,3,2,1...........

are arithmetic sequence

Step-by-step explanation:

Arithmetic sequence is series of numbers that the difference of consecutive terms is constant

a) 1, 2 , 3 , 4 , 5 , 6...........

Common difference = 1

d) 3,0, -3 ,-6,-9,-12.............

Common difference = second term - first term

                                  = 0 - 3 = -3

e) 6,5,4,3,2,1...........

Common difference = 5 - 6 = - 1

Answer:

where is the scale

Step-by-step explanation:

where is the scale

Answer:

What does the scale look like?

Step-by-step explanation:

[tex] - 5 = \frac{1}{3} ( - 1 - w) \\ \frac{1}{3} ( - 1 - w) = - 5 \\ - 1 - w = - 5 \div \frac{1}{3} \\ - 1 - w = - 5 \times 3 \\ - 1 - w = - 15 \\ - w = - 15 + 1 \\ - w = - 14 \\ w = 14[/tex]

Answer:ok

Step-by-step explanation:

Answer:

11:30am

Step-by-step explanation:

Answer:

Charlie and his friends should leave by 11:30 am at the latest.

Answer:

there's no picture sorry I couldn't help

Answer:

C) line d

Step-by-step explanation:

Line D’s slope is -1/2, so C is the correct answer.

Answer is C, hopefully I helped. :)

Answer:

the answer is 708.75

Step-by-step explanation:

Answer:

y-intercept = ( 0,0.4)

x-intercept = ( 0.3,0)

Step-by-step explanation:

By inspection from the given graph

Answer:

y-int = (0,.4)

x-int = (.3,0)

Answer:

63 in.

Step-by-step explanation:

Answer:

There is 63 inches in 5 1/4 feet :)

Answer:

17) [tex]6a^{3}b^{2}[/tex]

18) [tex]40m^{4} n^{10}[/tex]

19) 14x³y²

20) [tex]9x^{2} y^{6}[/tex]π

Step-by-step explanation:

17)

Area of triangle = 1/2*b*h

A = 1/2(4a²b)(3ab)

A = 6(a³b²)

18)

A = 1/2(4mn⁵)(20m³n⁵)

A = (40)(m⁴n¹⁰)

19)

A = 2 (1/2)(2xy)(3x²y)

A = (6x³y²) + (4x²y*2xy)

A = 6x³y² + 8x³y²

A = 14x³y²

20)

A = (3xy³)²

A = 3² x² (y³)²

Answer:

9x + 4.5y if .5y is a decimal point, 9x + 9y if the dot is a typo

Step-by-step explanation:

If the dot is real,

7x + 3x + 4y - x + 0.5y

10x + 4y - x + 0.5y

10x - x + 4y + 0.5y

9x + 4.5y

If the dot is a typo,

7x + 3y + 4x - x + 5y

10x + 4y - x + 5y

10x - x + 4y + 5y

9x + 9y

Answer:

the answer is 9x + 9y

7x + 3x + 4y - x + 5y

7x + 3x - x + 4y + 5y

10x - x + 4y + 5y

9x + 9y

Answer:

The answer is "Option A and Option B".

Step-by-step explanation:

In question 1:

In all cases, the entire population is measured so that the actual medium discrepancy could be measured as well as an interval of trust cannot be used.

This issue would be that she calculated the ages with all representatives of both classes, such that she measured a whole population. It's not necessary.

In question 2:

When the p-value is 0.042. At 90% trust and 92% trust level 11 (p-value below 0.10 and 0.08) are not included. however the biggest confidence level of 92%. Consequently, the largest trust level where the 11 is Not included in the trust interval is 92% trust.

Answer:

2's volume is 93 3/4 and 3's volume is 40

Step-by-step explanation:

Just use the formula to find volume, length x width x height. For 2, it would be 5x5x3 3/4 to give you a product of 93 3/4. For 3, it would be 3x2x6 2/3 which equals 40.

I hope this helps!

Answer:

B. A linear regression t-interval for slope

Step-by-step explanation:

Given the data for the critic rating and audience score, the relationship between this vmaues acb be modeled using regression, the slope value helps give the average change in the dependent variable (audience svi per unit change in the value of the independent variable (critic rating). The t distribution is employed due to the relatively small sample size which

does not form an approximately normal distribution according to the Central limit theorem.

Answer:

[tex] \red{ \bold{\frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]

Step-by-step explanation:

[tex] \frac{2x}{4 {x}^{2} - 9 } + \frac{3}{2 {x}^{2} + x - 3} \\ \\ = \frac{2x}{(2 {x})^{2} - {(3)}^{2} } + \frac{3}{2 {x}^{2} - 2x + 3x - 3} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{2 {x}(x - 1) + 3(x - 1)} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{(x - 1) (2x + 3)} \\ \\ = \frac{2x(x - 1)}{(2x + 3)(2x - 3)(x - 1)} + \frac{3(2x - 3)}{(x - 1) (2x + 3)(2x - 3)} \\ \\ \purple{ \bold{ = \frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]

Answer:

angle r= 45°

angle r+angle q=180°

45°+ angle q=180°[linear pair]

angle q=180°- 45°

angle q= 135°

Answer:

divide b by 2 and square it to get c:

-20/2 = -10

[tex](-10)^2 = 100[/tex]

second part: (x - 10)(x - 10) or [tex](x-10)^2[/tex]

Answer:

x (x-20)

Step by step

Answer: you'll have 87 seats in the 18th row

Step-by-step explanation:

an = a1+(n-1)d

a18= 36+(18-1)3

a18= 36+51

a18= 87

The 18th row will have 87 seats.

'An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.'

According to the given problem,

Number of seats in row 1 = 36

Number of seats in row 2 = 39

Number of seats in 3rd row = 42

Difference between the numbers ( d ) = 39 -36

                                                               = 3

We know, according to the formula of Arithmetic Progression,

[tex]a_{n} = a_{1} + (n-1)d[/tex]

We need to find for the 18th row,

[tex]a_{1}[/tex] = 36

d = 3

n = 18

⇒ [tex]a_{18}[/tex] =  36 + ( 18 - 1 )×3

⇒ [tex]a_{18}[/tex] = 36 + 51

⇒  [tex]a_{18}[/tex] = 87

Hence, we can conclude, there will be 87 seats in the 18th row.

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Answer:

g = 10

f = 21

Step-by-step explanation:

Given equations:

24 = g + 14

f - 9 = 12​

24 = g + 14

Subtract 14 from both sides

24 - 14 = g + 14 - 14

10 = g

g = 10

Check:

24 = g + 14

24 = 10 + 14

24 = 24

f - 9 = 12​

Add 9 to both sides

f - 9 + 9 = 12​ + 9

f = 21

Check:

f - 9 = 12​

21 - 9 = 12

Answer:

The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.

Step-by-step explanation:

The company's promotional literature states that 47% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage.

This means that at the null hypothesis we test that the proportion is 47% = 0.47, that is:

[tex]H_0: p = 0.47[/tex]

And at the alternate hypothesis, we test that the proportion is different from 47%, that is:

[tex]H_a: p \neq 0.47[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

47% is tested at the null hypothesis:

This means that [tex]\mu = 0.47, \sigma = \sqrt{0.47*0.53}[/tex]

A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use.

This means that [tex]n = 1300, X = 0.5[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.5 - 0.47}{\frac{\sqrt{0.47*0.53}}{\sqrt{1300}}}[/tex]

[tex]z = 2.17[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability that the proportion differs from 0.47 by at least 0.5 - 0.47 = 0.03, which is P(|Z| > 2.17), which is 2 multiplied by the pvalue of Z = -2.17

Z = -2.17 has a pvalue of 0.015

2*0.015 = 0.03

The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.

Answer:

43/30

Step-by-step explanation:

Answer:

1 13/30

Step-by-step explanation:

6 & 5 have a Lcm of 30, so lets use that for our denominator so we can add.

5/6 + 3/5 = 25/30 + 18/30

=

43/30 which is equal to 1 13/30.

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Answer:

A, C, D, and F