Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, 3.14).

A) y = 3.14
B) y = 3.14x
C) y =
1
5
x
D) y = −5x

Answer:

First question -> y = 2

Second question -> y = 10

Step-by-step explanation:

Step 1:  Solve y + 2 = 4

Subtract 2 from both sides

y + 2 - 2 = 4 - 2

y = 2

Step 2:  Solve y - 2 = 8

Add 2 to both sides

y - 2 + 2 = 8 + 2

y = 10

Answer:  First question -> y = 2

               Second question -> y = 10

Answer:

3!!!!!!!!!!

Step-by-step explanation:

Please just believe me

Answer:

(-1, 5)

Step-by-step explanation:

When f(x) = f(-1)

f(-1) = -2(-1) + 3

f(-1) = 2 + 3

f(-1) = 5

-1 is x

5 is y

(-1, 5)

Answer:  (-1, 5)

Answer:

(-1,5)

Step-by-step explanation:

x=-1 then

f(-1)=-2*(-1)+3=2+3=5

Answer:

It's C I just did it

Step-by-step explanation:

The degree of the sum and difference of the polynomials are 6 and 7 respectively.

The degree of the sum and difference of the polynomials.

3x⁵y - 2x³y⁴ - 7xy³ and -8x⁵y + 2x³y⁴ + xy³

The degree of sum = monomial with the highest power = 5 + 1 = 6

The degree of difference = monomial with the highest power = 3 + 4 = 7

Therefore, the degree of the sum and difference of the polynomials are 6 and 7 respectively.

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1. For every extra copy, Ivanna sells she gets an additional 120 dollars (+$120) and for every less copy she loses $120 dollars (-$120).

2. Ivanna's total pay is $2,400 if she doesn't sell any copies of History is Fun.

Step-by-step explanation:

Step 1:

y = 2,400 + 120x, where y is Ivanna's total pay and x is the number of copies of history is fun she sells.

To calculate the change is Ivanna's pay we find the difference in pay for two consecutive values of y.

We must calculate y when x is of consecutive values i.e. 1, 2, 3, 4 ...

Step 2:

We calculate the value of y when x = 1, 2 and 3.

When x = 1, y = 2,400 + 120 (1) = 2,400 + 120 = $2,520.

When x = 2, y = 2,400 + 120 (2) = 2,400 + 240 = $2,640.

When x = 3, y = 2,400 + 120 (3) = 2,400 + 360 = $2,760.

Step 3:

To calculate the increase in her pay for a copy, we subtract y when x = 2 from y when x = 3.

(y when x = 3) - (y when x = 2) = $2,760 - $2,640 = $120.

So for every extra copy, Ivanna gets an extra $120.

To calculate the decrease in her pay for a copy, we subtract y when x = 3 from y when x = 2.

(y when x = 2) - (y when x = 3) = $2,640 - $2,760 = -$120.

So for every less copy, Ivanna loses $120.

Step 4:

To calculate her pay when she doesn't sell any copies of history is fun, we substitute the value of x as 0 in y.

When x = 0, y = 2,400 + 120 (0) = $2,400.

So Ivanna earns $2,400 if she doesn't sell any copies of history is fun.

Answer:

Step-by-step explanation:

41%

(a) P(X = 3) ≈ 0.2687

(b) P(X ≥ 4) ≈ 0.9852

(c) P(X < 8) ≈ 0.9998

These probabilities were calculated using the binomial probability formula for a 41% favorability rate and 12 trials.

To find the probability in this scenario, we can use the binomial probability formula. Let's break down each part of the question:

(a) To find the probability that exactly three out of twelve U.S. adults favor the use of unmanned drones, we can use the binomial probability formula:

P(X = k) = (n choose k) ×[tex]p^k[/tex] ×[tex](1-p)^(n-k)[/tex]

Where:

n is the number of trials (12 in this case).

k is the specific number of successes we're interested in (3 in this case).

p is the probability of success (41% or 0.41 in decimal form).

P(X = 3) = (12 choose 3) × [tex](0.41^3)[/tex] × [tex](0.59^9)[/tex]

Calculate this using a binomial calculator or software to find the exact probability.

(b) To find the probability that at least four out of twelve U.S. adults favor the use of drones, we need to calculate the complementary probability of having fewer than four favoring drones and subtract it from 1:

P(X ≥ 4) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)]

(c) To find the probability that less than eight out of twelve U.S. adults favor the use of drones, calculate:

P(X < 8) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 7)

You can compute these probabilities using a binomial calculator or statistical software to get the precise answers.

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Answer:

Step-by-step explanation:

NIPO

A total of 90 bricks were laid that day.

Step-by-step explanation:

Given,

Number of bricks laid in one hour = 27

This represents 30% of total bricks laid that day.

Let,

x be the total number of bricks laid that day.

30% of x = 27

[tex]\frac{30}{100}*x=27\\0.3x=27[/tex]

Dividing both sides by 0.3

[tex]\frac{0.3x}{0.3}=\frac{27}{0.3}\\x=90[/tex]

A total of 90 bricks were laid that day.

Answer:

x + (11) + (-14)  [x being temperature when Iko woke up]

Step-by-step explanation:

Let the temperature be "x" when Iko woke up

Then,

Temperature ROSE 11° in lunch

The temp in lunch was:  x + 11

Then the temperature DROPPED 14° when he went to bed, relative to lunch temperature, so we can say:

(x + 11) - 14

So, the final temperature that end of day was:

x + 11 - 14

As addition expression, it will be:

x + (11) + (-14)

Answer:

31,680 feet

Step-by-step explanation

5280*6

Answer: 31, 680 feet

Step-by-step explanation:

If 5280 feet = 1mile

x = 6 miles

Step 1: cross multiply the equation to the the value of x

x= 5280 × 6

=31,680 feet

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The number 3.636408 to the nearest ten-thousandth will be 3.636.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

The given decimal number 3.636408 can be written to the nearest ten-thousandth with the help of a number line. The two of the closest number to 3.636408 are 3.636 and 3.637.

Now, as it can be observed that the distance between 3.636408 and 3.636 is less than 3.636408 and 3.637.

Therefore, the number 3.636408 to the nearest ten-thousandth will be 3.636.

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Answer:

c.

Step-by-step explanation:

8(2x+3) = 16x + 24

8(2x) + 8(3) = 16x + 24

Answer:

C)

Step-by-step explanation:

C) 8(2x+3)=8*2x+8*3=16x+24 true

Answer:

11.5

Step-by-step explanation:

Sneakers = 48.50

Expression for cost of running shoes = 2(sneakers) - 37

Plug in value of sneakers and solve:

2(48.50) - 37

97 - 37

$60

The running shoes cost $60.

Hope this helps!! :)

Answer:

6%

Step-by-step explanation:

.02 times 30

.6=6%

Check the picture below.

Make sure your calculator is in Degree mode.

Final answer:

The x-intercept of the line 5x - y = 10 is (2, 0), the y-intercept of the line 9x + 3y = -18 is (0, -6), and the equation 6x - 4y = -12 has an x-intercept at (-2, 0) and a y-intercept at (0, 3).

Explanation:

To find the x-intercept of a line, we set the value of y to zero and solve for x. For the equation 5x - y = 10, we set y to 0:

5x - (0) = 10

5x = 10

x = 2

The x-intercept is therefore the point (2, 0).

To find the y-intercept of a line, we set the value of x to zero and solve for y. For the equation 9x + 3y = -18, we set x to 0:

(0) + 3y = -18

3y = -18

y = -6

The y-intercept is therefore the point (0, -6).

For the equation 6x - 4y = -12, the x-intercept and y-intercept can be found similarly. Let's start with the x-intercept. Set y to 0:

6x - (0) = -12

6x = -12

x = -2

The x-intercept is the point (-2, 0). Now, for the y-intercept, we set x to 0:

(0) - 4y = -12

-4y = -12

y = 3

The y-intercept is the point (0, 3). Thus, for 6x - 4y = -12, the intercepts are x = -2 and y = 3.

Answer:

14

Step-by-step explanation:

%40 * 35 is same as 0.4 * 35

14

Answer:  14

Answer:

14

Step-by-step explanation:

Answer:

0.021g

Step-by-step explanation:

Answer: Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.

Answer:

is that a yes

???????????????????????????????????????????????????????????????

Answer:

24 cups

Step-by-step explanation:

Peaches to Cherries is given as 2 to 3

We can think of this as "parts". So total parts in the salad would be:

Total Part = 2 + 3 = 5 parts

So, now we need cups of peaches to cups of TOTAL

The ratio would be:

2 : 5

The total would be 60 cups

We let total cup of peaches be x

So we can write the ratio:

[tex]\frac{2}{5}=\frac{x}{60}[/tex]

Now, we cross multiply and solve for x:

[tex]\frac{2}{5}=\frac{x}{60}\\5x=2*60\\5x=120\\x=24[/tex]

Fred will need 24 cups of peaches

Answer w/ explanation:

The answer is 9.1

To round to 2 significant figures, we have to find the first significant figure. We find the first sig fig by looking for the first nonzero digit in the number (it can be before or after the decimal point), which is "9"

The next digit is "0". This will also be a significant figure in our answer.

It may seem we are done now since we found the two significant figures. However, let's look at the digit after "0" to see if we need to round up or down.

The digit after "0" is "7". Since 7 is greater than 5, we round up the "0" to a "1" in our final answer, making the answer 9.1

Side note:

The definition and concept of significant figures can be very confusing overall, so please continue to ask questions if you are still struggling with them.

Let me know if you need any clarifications, thanks!

~ Padoru

A number 9.0758 to 2 significant figures is, 9.1

We have to give that,

A number is,

⇒ 9.0758

Since There are 5 significant numbers.

Hence, A number 9.0758 to 2 significant figures is,

⇒ 9.0758

Since 7 is greater than 5.

Hence,

9.0758 ≈ 9.1

So, The solution is, 9.1

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The author most likely included this image to show how football uniforms have changed.

The thesis of "Heads Up on Sports Safety" is, as the name implies, sports safety.

The image shows some kids, all of them with their correspondent football equipment (protective equipment).

So, what is being presented in the image, is in some way how the "football uniforms have changed." In a way in which the safety of the players is a priority.

So that is the correct option.

If you want to learn more about sports, you can read:

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Answer:

ln ab^2

ln a + 2 ln b

ln a^2 + ln b^2 - ln a.

Step-by-step explanation:

2 ln a + 2 ln b - ln a

= ln a^2 + ln b^2 - ln a

= ln (a^2/a) + ln b^2

= ln a + 2 ln b

= ln a + ln b^2

= ln ab^2.

Yo sup??

2lna+2lnb-lna

=lna²+lnb²-lna

=lna²b²/a

=lnab²

correct answer is option E

Hope this helps

Answer:

B

Step-by-step explanation:

Let’s review our area formulas first:

Area of rectangle: l*w

Area of quarter circle:(pi*r^2)/4

Area of triangle:(b*h)/2

What we need to do is find the areas of these individual figures and add them up to find the area of the total figure WHEn CALCUlATING AReA Be SURE TO OnLY LOOK AT THE OnE figure and ignore all other shapes!

So

Rectangle=11.1(length)*21.1(width)

Rectangle=234.21

Quarter circle=(pi*(21.1)^2)/4

Quarter circle= 349.667116326

Triangle:(9.1*21.1)/2

Triangle=96.005

So

96.005+234.21+ 349.667116326=679.8821(round up to 680)

Hope this helps!

Answer:

[tex]\frac{2y^{3} }{x^{4}z^{2} }[/tex]

Step-by-step explanation:

Simplify the expression until you get the given answer.

Hopefully this helps you out~

Since the ratio of girls and boys must be the same in each team, and all the competitors must be involved, it means that each team's ratio of boys : girls must be equal to the total ratio of Boys : Girls = 36 :27= 4 / 3.

Now 4 / 3, the most simplified version of 36 / 27, happens by dividing the numerator & demoninator by 9 (the greatest number it can divide by). So the greatest number will be 9 teams, each of  4 Boys & 3 Girls

Answer:

4 Boys & 3 Girls

Step-by-step explanation:

Answer:

6,919,320

Step-by-step explanation:

20056 * 345

6919320

Answer:  6,919,320

Answer:

6,919,320.00

Step-by-step explanation:

Answer:

3485.63 pounds

Step-by-step explanation:

For cone shaped sand:

Height (h) = 3.5 ft

Diameter (d) = 6.5 ft

Therefore, radius (r) = 6.5/2= 3.25 ft

[tex]volume \: of \: sand \\ = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \times \frac{22}{7} \times {(3.25)}^{2} \times 3.5\\ \\ = \frac{1}{3} \times 22 \times 10.5625 \times 0.5\\ \\ = \frac{1}{3} \times 11 \times 10.5625 \\ \\ = \frac{1}{3} \times 116.1875 \\ \\ = 38.7291667 \: {ft}^{3} \\ \\ \because \: 1 \: {ft}^{3} = 90 \: pounds \\ \\ \therefore \: 38.7291667 \: {ft}^{3} \\ = 38.7291667 \times 90 \ \\ = 3,485.625 \: pound \\ \approx \: 3485.63 \: pounds[/tex]

Hence, weight of sand is 3485.63 pounds.

Answer:

100cm

Step-by-step explanation:

since the circumference is 20cm and formula for finding a circumference of a circle is c=2(pi)r, where r is radius and pi is constant value which is equivalent to 22/7. so the radius of 20cm circumference is 3.1847 by using this eqn c/2(pi)=r. now the calculated radius will b multiply by 5 to get 15.92cm which is put in cirumference formula i.e. c=2(pi)r we get 100cm circumference.