City P has a temperature of −4 °F. City Q has a temperature of −8 °F.

Use the number line shown to answer the questions:

Number line from negative 8 to positive 8 in increments of 1 is shown.

Part A: Write an inequality to compare the temperatures of the two cities. (3 points)

Part B: Explain what the inequality means in relation to the positions of these numbers on the number line. (4 points)

Part C: Use the number line to explain which city is warmer. (3 points
PLEASE EXPLAIN PART A AND B AND C

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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Answer:

Step-by-step explanation:

We know that g = -3 and h = 5

Plugging in the values for g and h you will get:

\(g^{2} + 4gh\)

\((-3)^{2} + 4(-3)(5)\)

\(9 + (-60)\)

Final answer is \(-51\)

-51 is the value of the expression g²+ 4gh when g=-3 and h=5.

An expression is combination of variables, numbers and operators.

The given expression is g²+ 4gh

g square plus four times of g and h.

We have to find the value of expression when g is minus three and h is five.

g²+ 4gh

(-3)²+ 4(-3)(5)

9-60

-51

Hence, -51 is the value of the expression g²+ 4gh when g=-3 and h=5.

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Answer:

it is A, true

Step-by-step explanation:

Answer:

10x20+10x6=260

Step-by-step explanation:

Answer:

260 cm²

Step-by-step explanation:

Area of the rectangle

= l × w

= 20 × 10

= 200 cm²

Area of the triangle

= ½bh

= ½ × 20 × 6

= ½ × 120

= 60 cm²

Area of the total figure

= Area of the rectangle + Area of the triangle

= 200 cm² + 60 cm²

= 260 cm²

________

Hope it helps ⚜

Answer:

6 aduts and 5 kids

Step-by-step explanation:

$20 for the kids in total and $54 for the adults

Answer:

The ordered pair (5, 35) in this context indicates that 5 boxed lunches were ordered and the total cost of those lunches was $35.

In the given graph, the x-coordinate represents the number of boxed lunches ordered (in this case, 5), and the y-coordinate represents the total cost of the lunches (in this case, $35). The point (5, 35) indicates the specific combination of the number of boxed lunches and the corresponding total cost on the graph.

Answer

rotation around point b

Step-by-step explanation:

Answer:

Problem:

"Assume that a, b, and c are real numbers. If a > b, and (a + c) > (b + c), then what is true of c?"

Answer:

c can be any real number. There is no other conclusion we can come to. This is simply the addition property of inequality.

Answer:

Step-by-step explanation:

c is a real number. We can not know if it is  positive or negative

Answer: 13%

Step-by-step explanation:

Step 1:

5000

10% of 5000=500

5% of 5000=250

25%=500+500+250= 1250 rupees

so...

5000-1250= 3750 INR, which is the original price, BEFORE THE 25% WAS ADDED

but..

They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find  15%, because 25%-10%=15%

so if...

10%=500

5%=250

15%=750 INR

this means the price with the 10% discount off 25%= 4250 INR (5000-750)

now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added

e.g 4250-3750= 500INR

Then.. divide this price with the original price before the 25% was added

e.g 500/3750= 2/15=0.13

So...

Convert 0.13 into a percentage=13%

The PERCENTAGE PROFIT of the owner is 13%

P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you

Answer:

SAS, because vertical angles are congruent.

Answer:

longer side = √507 cm, shorter side = 13 cm

Step-by-step explanation:

sin60 = opposite side/26cm

opposite side = √507 cm

cos60 = adjacent side/ 26cm

adjacent side = 13 cm

longer side = √507 cm, shorter side = 13 cm

Given:

y-intercept = 2

slope =1/2

To determine the graph that best represents the line based on the given information, we use the formula:

y=mx+b

where:

m=slope

b=y-intercept

Based on this, the equation of the line is:

We can plug in any values for x to get y values.

Example:

x=0

So,

This means that one of the points is (0,2). Hence, the graph is shown below:

Therefore, the answer is B. Graph A.

Answer:

mean: 73.2

mode : 85

range:47

median: 78.5

Step-by-step explanation:

85,58,72,85,46,93

first put the numbers in order from least to highest

46,58,72,85,85,93

mean: is the sum of the terms divided by the number of terms

(85+85+72+58+46+93)/6=73.2 ( rounded to the nearest tenth)

mode : is the element that occurs the most: in this case it is 85 occurs twice

range : subtract the minimum data from max. data: 93-46=47

median : is the middle number, in this case it is even so take the middle two numbers and divide by 2: 85+72/2= 157/2=78.5

median = 78.5

The mean value is 73.

The mode value is 85.

The range value is 47.

The median value is 78.5.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

85,58,72,85,46,93

Mean = (85 + 58 + 72 + 85 + 46 + 93) / 6

Mean = 73

Mode is the number that occurs the most times in the set.

Mode = 85.

Range = Highest value - Lowest value.

Range = 93 - 46 = 47.

The Median is the middle value after arranging the set in order.

46, 58,72,85, 85, 93

Median = (72 + 85) / 2

Median = 78.5

Thus,

The means is 73.

The mode is 85.

The range is 47.

The median is 78.5.

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The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer:

First, we need to find the radius of the cylinder.

The circumference of the cylinder is given as 87.92 cm.

Circumference = 2πr

87.92 = 2πr

r = 87.92 / (2π) = 13.993

Now, we can use the formula for the volume of a cylinder to find the volume of the water tank:

Volume = πr^2h

Volume = 3.14 x 13.993^2 x 160

Volume ≈ 97729.25 cm^3

Rounding to two decimal places, the volume of the water tank is approximately 97729.25 cm^3.

The value of x = 120/39 and y = 17/13 using the elimination method.

The system of equations using the elimination method is shown below.

3x + 9y = 21-3x - 4y = 4

Multiply the second equation by -1 to eliminate the x variable-3x - 4y = 4 * -1 → 3x + 4y = -4

Add the two equations together3x + 9y = 213x + 4y = -4

13y = 17

Solve for y by dividing by 13 on both sides13y / 13 = 17 / 13y = 17/13

Substitute y = 17/13 into one of the equations to solve for x.

3x + 9(17/13) = 21

Multiplying both sides by 13 gives,

39x + 153 = 273

Subtracting 153 from both sides gives,

39x = 120x = 120/39

Check the solution by substituting the values of x and y back into both equations.

3(120/39) + 9(17/13) = 21-3(120/39) - 4(17/13)

= 4

After checking the solution, the system of equations can be solved by the elimination method as:

x = 120/39

y = 17/13

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The dotplot of the simulation results and the sample of 10 buses provides convincing evidence that the true probability of a bus running off schedule is more than the claimed 10%. The data suggests that it is most likely for exactly one bus out of 10 to be running off schedule, and there is a low probability of 5 or more buses being off schedule.

Based on the dotplot of the simulation results and the sample of 10 buses, we can draw the following conclusions:

The true probability that a city bus is running off schedule is more than 10%:

The simulation results show that the frequency of buses running off schedule is concentrated towards the higher end of the spectrum. The dotplot indicates that 5 buses running off schedule is a relatively unusual occurrence, which suggests that the true probability is higher than the claimed 10%.

There is about a 3% chance that 5 or more buses are running off schedule:

Looking at the dotplot, we can see that the frequency of 5 buses running off schedule is quite low, with only 2 occurrences out of the 100 trials. This indicates that it is unlikely for 5 or more buses to be running off schedule under the assumption that only 10% of buses run off schedule.

It is most likely that exactly one out of 10 buses is running off schedule:

The dotplot shows a peak in the frequency at 1 bus running off schedule. This suggests that one bus running off schedule is the most probable scenario among the 10-bus samples.

If we continued to take more samples of 10 buses, the center of the distribution would shift to 1:

Based on the dotplot, the distribution appears to be centered around 1 bus running off schedule. This indicates that as more samples of 10 buses are taken, the average number of buses running off schedule would tend to be closer to 1.

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Answer:

18 houses

Step-by-step explanation:

First, find out how many houses they can clean in 1 hour.

10/5=2

They can clean 2 houses in 1 hour.

With this information,  you can now multiply the number of houses in 1 hour by 9 hours to find out how many houses are cleaned in 9 hours.

9*2=18

Therefore they can clean 18 houses in 9 hours.

Answer:

brainliest please?

:)   <3

Step-by-step explanation:

3 goes to A

1 goes to B

6 goes to C

5 goes to D

and 8 goes to E

The monthly instalment is $26.40

The total cost of the bicycle using purchase is $324.00

What kind of interest rate applies to hire purchase?

The form of interest computation for hire purchase is simple interest, in other words, the interest payable on the hire purchase over the period of 10 months can be determined

I=PRT

P=Purchase price-deposit=$300-$60

P=purchase price=$240

R=annual interest rate=10%

T=time taken to finish paying up=10/12(10 months divided by 12 months that make year)

I=$240*10%*1

I=$24

The total amount to be repaid is the principal plus the interest of $20

total repayment=$240+$24

total repayment=$264

monthly instalment=$264/10

monthly instalment=$26.40

Total payment under hire purchase=total repayment+ interest

Total repayment under hire purchase=$264+$60

Total repayment under hire purchase=$324.00

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Mr. X sold 20.5 donuts and 5.5 bagels. X is selling donuts and bagels for a school fundraising event. But the prices changed to battle against inflation.

Let x be the number of donuts sold, and y be the number of bagels sold. Then we can set up a system of linear equations to represent the given information:

x + y = 26 (the total number of donuts and bagels sold is 26)

3x + 4.5y = 94.5 (the total money raised is $94.50)

To solve for x and y, we can use elimination or substitution method. Here, we will use substitution method:

x + y = 26 (multiply both sides by 3 to eliminate x's coefficient)

3x + 4.5y = 94.5

3x + 3y = 78

3y = 16.5

y = 5.5

Substitute y = 5.5 into either equation to solve for x:

x + 5.5 = 26

x = 20.5

Therefore, Mr. X sold 20.5 donuts and 5.5 bagels. However, since he cannot sell half a donut or half a bagel, we can round the values to the nearest whole number. Thus, he sold 21 donuts and 6 bagels.

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Answer:look at image

Step-by-step explanation:

The domain of the function does not include the values x = -3 and x = 3 is the only correct option.

"Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences."

This relationship is commonly symbolized as y = f(x)—which is said “f of x”—and y and x are related such that for every x, there is a unique value of y. That is, f(x) can not have more than one value for the same x. To use the language of set theory, a function relates an element x to an element f(x) in another set. The set of values of x is called the domain of the function, and the set of values of f(x) generated by the values in the domain is called the range of the function."

In the graph plotted,

The graph has no y intercept.

Vertical asymptotes is x = 0

No horizontal asymptotes

Slant asymptotes is y = 2x + 3

Hence, F is the True and A, B, C, D, E are false.

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Answer:

(y+w)(x+2a)

Step-by-step explanation:

im built different

Answer:

(x+2a)(y+z)

Step-by-step explanation:

x(y+z)+2a(y+z)

(x+2a)(y+z)

An expression that is equivalent to (3⁶/y⁻⁵)² is: D. 3¹²·y¹⁰.

In Mathematics, an exponent is a mathematical operation that is commonly used in conjunction with an expression, in order to raise a given quantity to the power of another.

Mathematically, an exponent can be modeled by this mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the given expression, we would have the following simplified expression:

(3⁶/y⁻⁵)²

(3⁶/1/1/y⁵)²

(3⁶ × y⁵)²

3¹²·y¹⁰

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Fourth option

Step-by-step explanation:

You can use a scientific calculator

Answer:

x = 10

Step-by-step explanation:

Simplifying

8x + -3 = 6x + 17

Reorder the terms:

-3 + 8x = 6x + 17

Reorder the terms:

-3 + 8x = 17 + 6x

Solving

-3 + 8x = 17 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-3 + 8x + -6x = 17 + 6x + -6x

Combine like terms: 8x + -6x = 2x

-3 + 2x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0

-3 + 2x = 17 + 0

-3 + 2x = 17

Add '3' to each side of the equation.

-3 + 3 + 2x = 17 + 3

Combine like terms: -3 + 3 = 0

0 + 2x = 17 + 3

2x = 17 + 3

Combine like terms: 17 + 3 = 20

2x = 20

Divide each side by '2'.

x = 10

Simplifying

x = 10

Answer:

Step-by-step explanation:

The shaded portion in the figure is a quarter-circle with a radius of half the side length of the square, or 10/2 = 5 units.

The area of a circle can be calculated using the formula:

A = πr^2

Where r is the radius and π is pi (approximately equal to 3.14).

So the area of a quarter-circle with a radius of 5 is:

A = (π * 5^2) / 4 = (π * 25) / 4 = 25π / 4

This is the area of the shaded portion in the figure.