The average temperature in the mountains is 61° in April. The average temperature in that same spot is −2° in December. Determine how much warmer this location is in April than in December, and determine which temperature is the farthest away from 0°.

Answer:

n[P(A)] is the power of set A, which is = 16

Step-by-step explanation:

For this question, We are simply looking for the number of elements in the power set of A.

To solve this,  there is a simple formula that can be followed, which is

n[P(A)]= \(2^{n(A)}\)

This means that to get the power of the set, we sill have to raise the number 2 to the number of elements in that set.

In our problem, n(A) refers to the number of elements in set A.  In this case, n(A)= 4

Hence, n[P(A)]=\(2^{4}= 16\)

Hence the power of set A = 16

Answer:

-3 < x < 2

Step-by-step explanation:

Move all terms not containing x from the center section of the inequality

a) Evaluating the function at x= -2 we get:

b) Notice that the given function has the form:

Therefore f(x) is a quadratic function.

c) Since f(x) is a quadratic function its graph is a parabola.

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

For more question on  Probability visit:

https://brainly.com/question/25839839

#SPJ8

Answer:

The equivalent expressions are:

7(2 + 3x) - 3x and 4(3 + 3x) + 2(1 + 3x)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

a)

7(2 + 3x) - 3x

= 14 + 21x - 3x

= 14 + 18x _____(1)

b)

2(6x + 7) + 10x

= 12x + 14 + 10x

= 22x + 14 _____(2)

c)

4(3 + 3x) + 2(1 + 3x)

= 12 + 12x + 2 + 6x

= 14 + 18x ______(3)

From (1), (2), and (2).

7(2 + 3x) - 3x  and 4(3 + 3x) + 2(1 + 3x) are equivalent.

Thus,

7(2 + 3x) - 3x and 4(3 + 3x) + 2(1 + 3x) are equivalent expression.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

C.    AA

Step-by-step explanation:

Since m<Y = 27°, then m<W = 27°.

We have two angles of one triangle (A and B) congruent to two angles of the other triangle (W and X).

Answer: C.   AA

Answer:Option B , C  and E are correct

Step-by-step explanation:

y^2-5y=750

750-y(y-5)=0

(y+25)(y-30)=0

Check the picture below.

Answer:

According to my calculations, 1.6 goes into 10.8 a total of 6 times with a remainder of 1.1999999999999993. If you continue the long division beyond the decimal point, the result would be 6.75.

Step-by-step explanation:

Answer:

6.75 miles

Step-by-step explanation:

1.6 km = 1 mile

   1 km = 1/1.6  mile

10.8 km = \(\frac{1}{1.6}*10.8\)

             = 6.75 miles

Answer:

-3 is the slope, or -3/1.

Step-by-step explanation:

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

$8000

Step-by-step explanation:

1. Work out 1% of the overall value:

4800= 60%

4800/60= 1%

80= 1%

2. Use this to work out 100%:

80 x 100= 100%

8000= 100%

3. Put this back into the context of the question:

Fundraising goal= $8000

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

To learn more about slope-intercept, refer to:

https://brainly.com/question/1884491

#SPJ1

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

Read more on graphs:

https://brainly.com/question/19040584

#SPJ1

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

Read more about  Laws of Exponents at: https://brainly.com/question/11761858

#SPJ1

The correct option is the third one.

In set notation, '...' indicates that the set is infinite. With this we can discard option 1 and 4.

If we look option 2, they're all irrational numbers.

Thus, the correct option is the third one.

hello

to solve this question, let's simply draw this scenario to give us a better illustration and approach to this question.

the altitudue distance which is the height or distance of the helicopter to the ground is equal to 148m. x represents the distance (horizontal distance) between Jackson and the helicopter.

we can proceed to use trigonometric ratios to solve this question

SOHCAHTOA

here we can use the tangent of the angle to find the horizontal distance (opposite) since we have the value of the angle and height (adjacent)

from the calculations above, the value of the distance (horizontal) between Jackson and the helicopter is equal to 164.37m

Answer:

There should be 12 questions

Step-by-step explanation:

Mental Math

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

For more such questions on pounds

https://brainly.com/question/30400939

#SPJ8

Answer:

O

Step-by-step explanation:

THIS IS ASSUMING THAT THE RADIUS OF THE CIRCLE IS 4 1/4 UNITS!

Answer:

Standard Equation: (x + 5)^2 + (y+5)^2 = 18.06

General Form: x^2 + 10x + y^2 + 10y + 31.94 = 0

Answer:

the value of x that makes the equation true is x = 3.5.

Step-by-step explanation:

To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.

Starting with the equation:

18x + 5 - 3 = 65

First, combine like terms:

18x + 2 = 65

Next, isolate the term with x by subtracting 2 from both sides:

18x = 65 - 2

18x = 63

Finally, divide both sides of the equation by 18 to solve for x:

x = 63 / 18

x = 3.5

Therefore, the value of x that makes the equation true is x = 3.5.

The answer is:

Steps & work :

First, I focus only on the left side.

Combine like terms:

\(\sf{18x+5-3=65}\)

\(\sf{18x+2=65}\)

Subtract 2 from each side:

\(\sf{18x=63}\)

Now, divide each side by 18:

\(\sf{x=\dfrac{63}{18}\)

Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:

\(\sf{x=\dfrac{7}{2}}\)

\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)

The quotient form of given rational number is -7/2.

Given the rational number is -3.5.

Here, we want to write the quotient form of the given rational number.

rational numbers, in arithmetic, a number that can be expressed as the quotient p/q of two integers such that q ≠ 0.

Number 3.5 is a rational number. As we know rational numbers can also be expressed as decimals with repeating digits after the decimal point. The number7/2 is the ratio of two integers that are 7 integers divided by 2 integers and expressed in fraction (as p/q where q is not equal to 0).

Hence, the quotient form of the given rational number -3.5 is -7/2.

Learn more about the rational number from here brainly.com/question/27904736

#SPJ9

The equation of the line that passes through (-1, -6) and (5,0). is y = x - 5.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the equation of the line that passes through  (-1, -6) and (5,0).

m = 0 + 6 / 5 + 1

m = 6 / 6

m = 1

Therefore, let's find the y-intercept using (5, 0)

y = x + b

0 = 5 + b

b = -5

Therefore, the equation is y = x - 5

learn more on equation of a line here:https://brainly.com/question/16707515

#SPJ1

5 weeks do Newton and Descartes spend at home. This can be solved using the concept of fractions.

In mathematics, the portion or component of the complete item is represented by a fraction. It stands for the equal components of the whole. Both the numerator and denominator are components of a fraction. The top number is referred to as the numerator, while the bottom number is referred to as the denominator.

Given that,

Newton and Descartes have a 70-day summer vacation

They go to camp for 23/70 of their vacation

= 70 × (23/70)

= 23

Next, they travel for 6/35 of their vacation

= 70 × (6/35)

= 12

So, they stay home the rest of their vacation

= 70 - 23 - 12

= 35

Now, they stay home (35 ÷ 7) = 5 weeks.

Therefore, 5 weeks do Newton and Descartes spend at home.

To know more about fractions refer to:

brainly.com/question/17220365

#SPJ1

Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

No the given two ratios not form a proportion.

Any relationship that has a constant ratio is said to be proportional. For instance, the ratio of proportionality is the average number of apples per tree, and the number of apples in a crop is proportional to the number of trees in the orchard.

Two equivalent fractions are typically used to represent a proportion. For instance: The ratios on either side of the equal sign can be seen in the equation. Because inches and feet are consistent units, each ratio compares the same units, and as a result, all ratios are equivalent. Two quantities are compared to form a ratio. An equality of two ratios is a proportion.

Learn more about proportion here

https://brainly.com/question/18437927

#SPJ9