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Answer:

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Step-by-step explanation:

Firstly, you can focus on the scientific notation and calculate which one is bigger. The left side is [tex]10^3[/tex] whereas the right side is [tex]10^4[/tex]. This shows that even if the number before this was bigger, the larger exponent of these two are the bigger number.

[tex]10^3 = 1000\\10^4 = 10000[/tex]

Meaning the correct sign would be the smaller than sign (<) as the right side is bigger than the left.

Hope this helps!

Answer:

31, 114 and 35

Step-by-step explanation:

I set up the equation as such:

(3x + 21) + (x + 4) + x = 180

then I combined like terms:

5x + 25 = 180

And then solving for x I get:

5x = 155

x = 31

And then plugged the solved x value into the terms to give:

(3(31) + 21) = 114

(31 + 4) = 35

alongside the found angle of 31.

Answer:

[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]

Step-by-step explanation:

Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].

We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].

Combining like terms on the left side gives [tex]5x+25=180[/tex].

Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].

Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].

So, the first angle is [tex]31^{\circ}[/tex].

The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].

The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].

So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!

The check that these angles work is left as an exercise to the reader.

Answer:

y= -7x -27

Step-by-step explanation:

Answer:

None of the option is correct.

The right answer is 18/7 or 2.57

Step-by-step explanation:

Answer:3.657 hope this helps

The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.

The value of p = 2.

Given:

The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.

Comparing x - 1 with x - a then

Substitute the value of x = 1, then we get

[tex]$1^3+p*1^2-1-2 = 0[/tex]

[tex]$1^{3}+p \cdot 1^{2}-1-2=0$$[/tex]

Apply rule [tex]$1^{a}=1$[/tex]

[tex]$&1^{3}=1,1^{2}=1 \\[/tex]

[tex]$&1+1 \cdot p-1-2=0[/tex]

Multiply: p-1 = p

1+p -1-2=0

Group like terms

p+1-1-2 = 0

Add/Subtract the numbers: 1-1-2 = -2

p-2 = 0

Add 2 to both sides

p-2+2 = 0+2

Simplify

p = 2

Therefore, the value of p = 2.

To learn more about polynomial function

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Answer:

7

Step-by-step explanation:

f(x) is the same thing as y. So y = 7 the only value of x that can give you 7 is 7.

The least-squares regression line equation gives the line that approximate the relationship between the variables in the fuel efficiency data

The fuel efficiency when the speed is 60 mph is approximately 38.55 mpg.

Reason:

The given least-squares regression line equation is presented as follows;

ln(Fuel Efficiency) = 1.437 + 0.541 × ln(speed)

Required:

The value of the fuel efficiency for a speed of 60 mph.

Solution:

The general form of the least-squares regression line equation is [tex]\hat y[/tex] = a + b·x

Where, in the current question, we have;

[tex]\hat y[/tex] = The predicted value = ln(Fuel Efficiency)

a = The y-intercept = 1.437

b = The slope = 0.541

x = The input value = ln(speed)

When the speed = 60 mph, we have;

ln(Fuel Efficiency) = 1.437 + 0.541 × ln(60) = 3.65204040816

Therefore;

[tex]Fuel \ Efficiency = e^{(1.437 + 0.541 \times ln(60))} \approx 38.55[/tex]

The fuel efficiency when the speed is 60 mph ≈ 38.55 miles per gallon

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Answer:

the person above me is correct.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

England claimed the colonies, so they ruled over them.

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Answer:

  x = 33

Step-by-step explanation:

The product of the lengths of the segments of one chord is the same as the product of segment lengths for the other chord:

  11×9 = 3x

  x = 99/3 = 33

Answer:

B.) Progressive

Step-by-step explanation:

Its schedule of marginal tax rates imposes a higher income tax rate on people with higher incomes, and a lower income tax rate on people with lower incomes. The percentage rate increases at intervals as taxable income increases.

Answer:

(0, −3)

(2, −2)

(1, −4)

(6, 1)

(−3, 0)

Step-by-step explanation:

try plugging them in, might seem tedious, but it's the best way to practice. if you plug in a pair and the left side of the equation is less than or equal to 6, it's the right answer.

Answer: the 15th day

Step-by-step explanation:

Skip count by both numbers until you reach the first number they have

   in common;

     3, 6, 9, 12, 15, 28, 21, 24, 27, 30

     5, 10, 15, 20, 25, 30, 35, 40

Answer: 33.125

Step-by-step explanation:

So you would do 200 divdied by 5 which is 40 then you would do 1,325 divided by 40 which is the anwser 33.125. If you did it another way let me know.

Answer:

This cinder block has gravitational potential energy.

This cinder block has 15 484 joules of potential energy

Step-by-step explanation:

PE = mass*gravity*height and g= 9.8 m/s^2

PE = 79 * 9.8 * 20

PE = 15 484

Answer:

1

Step-by-step explanation:

40 x 11 = 440

440 x 4 = 1760

Answer:

f(-3)= 10(-3)^2 - 5(-3) - 3

       =90 + 15 -3

f(-3) = 102

Step-by-step explanation:

Answer:

D`

Step-by-step explanation:

The answer would be D because 40 is twice as much as 20. We also double the number of hours. So instead of having the ratio of 20:1 we have the ratio 40:2 (Miles : Hours)

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Answer:

Use the Part = 1, as the numerator and use the Whole = 2, as the denominator. The part-to-whole fraction is 1/2

Meaning:

The Part is 1/2 of the Whole

Step-by-step explanation:

Answer:

8 years

Step by step guide:

100,000 x 8 = 800,000

600,000 x 8 = 4,800,000

6,900,000 + 4,800,000 = 11,700,000

12,500,000 - 800,000 = 11,700,000

Answer:

Find the GCF of all the terms in the polynomial.

Express each term as a product of the GCF and another factor.

Use the distributive property to factor out the GCF.

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation: