The temperature on February 2 in Lake City was 14°F. The temperature in Ellenville the
same day was -6°F. How much warmer was it in Lake City than in Ellenville?
To solve the problem, Gabby subtracted 14 - (-6) and came up with an answer of 8°F. Is
Gabby correct? Why or why not?
Yes, Gabby is correct.
No. The answer should have been 20°F, not 8°F, because subtracting a
negative number is the same as adding its opposite.
No. Gabby should have added -6 + 14 because the temperature in Lake City
was warmer.

Answer:

8000 meters per second

Step-by-step explanation:

Answer:

Make a line graph with all the data. I think

Step-by-step explanation:

The left side of the equation is equal to the right side, which confirms that a = 11/10 is the correct solution.

To solve the equation, we need to isolate the variable "a". The equation is given as a - 1/2 = 3/5.
To eliminate the fraction, we can multiply both sides of the equation by the least common denominator (LCD), which is 10. This will clear the fractions and make the equation easier to solve.
Multiplying the left side of the equation by 10, we get:
10(a - 1/2) = 10(3/5)
10a - 5 = 6
Next, we can simplify the equation by adding 5 to both sides:
10a - 5 + 5 = 6 + 5
10a = 11
Finally, we can solve for "a" by dividing both sides of the equation by 10:
(10a)/10 = 11/10
a = 11/10
Therefore, the solution to the equation is a = 11/10 or a = 1 1/10.
To check the solution, substitute a = 11/10 back into the original equation:
11/10 - 1/2 = 3/5
(11/10) - (5/10) = 3/5
6/10 = 3/5
In summary, the solution to the equation a - 1/2 = 3/5 is a = 11/10 or a = 1 1/10. This solution has been checked and is correct.

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Answer: 5/8 of a teaspoon of salt

Step-by-step explanation:

half of 1 is 1/2 or 4/8

half of 1/4 is 1/8

4/8 + 1/8 = 5/8

Number of modes in the data set 1.50, 1.70, 2.00, 2.00, 2.00, 2.00, 2.30, 2.30, 2.40, 2.40, 2.00 is option (D) 3

The mode is the most frequently occurring value in a dataset. To find the modes in a dataset, we need to determine the values that occur most frequently. In the given dataset, we can see that some values occur more than once.

To start, we can sort the values in ascending order,

1.50, 1.70, 2.00, 2.00, 2.00, 2.00, 2.30, 2.30, 2.40, 2.40, 2.00

Now, we can count the number of occurrences of each value.

1.50 occurs once

1.70 occurs once

2.00 occurs four times

2.30 occurs twice

2.40 occurs twice

From this, we can see that the values 2.00 occur most frequently, and therefore, it is a mode. However, there are two more values that occur twice, namely, 2.30 and 2.40. Hence, these two values are also modes of the dataset.

There are three modes in the dataset: 2.00, 2.30, and 2.40.

Therefore, the correct option is (D) 3

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Answer:

$4020

Step-by-step explanation:

67 * 4 = 268

268 * 15 = 4020

The correct answer to the question is option d) 75 PCF.

To calculate the expected vertical load, we need to consider the weight of the concrete slab and the additional load due to the concrete's temperature and pouring rate. The weight of the slab can be calculated by multiplying the density of the concrete (150 PCF) by the depth (6 inches) and the area (1 square foot). This gives us a weight of 75 pounds per square foot (PSF).

The temperature and pouring rate do not directly affect the vertical load. The temperature and pouring rate are factors that may affect the structural integrity of the slab or the time it takes for the concrete to fully cure. However, they do not contribute to the actual load borne by the slab itself. Therefore, the correct answer is 75 PCF, as it represents the weight of the concrete slab alone.

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Answer:

2\(x^{2}\)+x-28

Step-by-step explanation:

To solve binomial multiplication problems you can use the FOIL method. FOIL means first, outside, inside, last, which tells you what order to multiply the terms.

Multiply the first terms,

(2x-7)(x+4)

2\(x^{2}\)

Then the outside terms,

(2x−7)(x+4)

8x

Next the inside terms,

(2x−7)(x+4)

-7x

Finally the last terms,

(2x−7)(x+4)

-28

To find the answer put all of the products together and simplify

2\(x^{2}\)+8x-7x-28

2\(x^{2}\)+x-28

Answer:

Do you have a picture so I can see the unknown side?

Step-by-step explanation:

Answers:

25.  b.   9, 40, 41

26.  c.   14, 19, 24

========================================

Explanation for problem 25

We use the converse of the pythagorean theorem.

If a^2+b^2 = c^2 is a true equation, then we have a right triangle with sides a,b,c where c is the longest side.

For part (a) we have a = 9, b = 41, c = 41

Then,

a^2+b^2 = c^2

9^2+41^2 = 41^2

1762 = 1681

The two sides aren't the same value at the end, so we have a false equation when (a,b,c) = (9,41,41). These three sides do NOT form a right triangle.

Repeat these steps for parts (b) through (d)

You should find that part (b) does lead to a true equation

a^2+b^2 = c^2

9^2+40^2 = 41^2

1681 = 1681

Therefore, a right triangle occurs when (a,b,c) = (9,40,41).

---------------------------------

Explanation for problem 26

We'll use the same idea as the previous problem. This time we're looking for non-right triangles.

Choice (a) can be ruled out because 3^2+4^2 = 5^2 leads to 25 = 25. Same goes for choice (d). That has been scaled up by 10.

Choice (b) gives 21^2+28^2=35^2 which boils down to 1225 = 1225, so this is ruled out as well.

Choice (c) on the other hand gives:

a^2+b^2 = c^2

14^2+19^2 = 24^2

557 = 576

Showing that a triangle with sides 14,19,24 is not a right triangle.

Answer:

2

Step-by-step explanation:

if f(4), than -4^2=-16

5(4)=20

-16+20-2=2

Answer:

\(\mathrm{No\:Solution}\)

Step-by-step explanation:

\(-5r +6 \leq -5(r+2)\\\\Expand \\\\-5r+6\le \:-5r-10\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\-5r+6-6\le \:-5r-10-6\\\\Simplify\\-5r\le \:-5r-16\\\\\mathrm{Add\:}5r\mathrm{\:to\:both\:sides}\\-5r+5r\le \:-5r-16+5r\\\\Simplify\\0\le \:-16\\\\\mathrm{Therefore,\:the\:solution\:is}\\\mathrm{No\:Solution}\)

The inequality 0 < x < 5 describes the region between the yz plane and the vertical plane x = 5.

To find the region between the yz plane and the vertical plane x = 5. we know that x can have only value x = 5, based on plane x = 5. The plane yz does not say anything about the values of y and z, thus they can take any value. But, yz plane implies that x = 0.

Therefore the region between plane yz and x = 5 is described by inequality, 0 < x <5.

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The complete question is given below:

Write inequalities to describe the region between the yz-plane and the vertical plane x = 5.

The equation y = x + 8 can be rewritten using the distributive property as y = 1x + 8. Using the distributive property, we can break up the term "x" as the product of 1 and x.

The equation representing the distance the poodle ran is y = x + 8. To rewrite this equation using the distributive property, we can break down the x term as the product of a coefficient and a variable.

We can write x as 1 × x, which gives us:

y = 1 × x + 8

Now, using the distributive property, we can distribute the coefficient 1 to both terms inside the parentheses:

y = 1x + 1*8

Simplifying this expression, we get:

y = x + 8

The equation y = x + 8 represents the distance the poodle ran, where x is the time in seconds and y is the distance in meters. Now, we can see that the coefficient of x is 1, which means that the poodle ran a distance equal to the value of x plus 8.

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The complete question is:

You can represent the distance the poodle ran as y = x+ 8. Now rewrite the equation using the distributive property.

Answer:

\(500 \div 15 =33.33 \\ 33.33 \times 20 = 666.67\)

The given statement "In scientific experiments, we measure a small number of items (a sample) and then attempt to infer the sample characteristics to the the entire population." is True. In scientific experiments, we often cannot measure an entire population, so we use statistical sampling to measure a smaller subset (a sample) and then try to generalize our findings to the entire population using statistical inference.

In scientific experiments, it is often not feasible or practical to measure the entire population. Instead, we collect a representative sample from the population and use statistical methods to infer the characteristics of the population from the sample.

This process is known as statistical inference. By carefully designing the sampling process and using appropriate statistical methods, we can make accurate and reliable inferences about the population.

Therefore, it is important to ensure that the sample is representative and unbiased and that the statistical methods used are appropriate for the data and research question at hand. The statement is true.

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Answer:

Step-by-step explanation:

Answer:

1st question's answer I don't know and 2nd question's answer is 37.1

Step-by-step explanation:

Mean= sum of all the terms/no. of terms

=12.5+38.3+16.3+2+145+8.5/6

=222.6/6

=37.1

Answer:

If I read the question correctly it is 70.062

543 cubic centimeters has 0.543 L approximate displacement

Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.

Basic formula to calculate engine displacement is

V = π/4 x \(D^{2}\) x H x N

Where :

D = Bore Diameter

H = Length of Stroke

N = Number of Cylinder

Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.

First, we state what is known. It is the displacement at cubic centimeter

Cubic centimeter = 543 cc

Next, we change the unit of cubic centimeter ( cc ) into liter ( L )

Displacement = cc / 1000 L

                       = 543 / 1000 L = 0.543 L

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Answer:

5 by 2

Step-by-step explanation:

It makes sense because:

Area: 5x2= 10 square feet

Perimeter: 5+5+2+2= 14 feet

For the three red lights, we have a "9 sockets choose 3" option. In those 9C3 methods. The solution is 1260 (9C3) (6C4)(2C2).

For the three red lights, we have a "9 sockets choose 3" option. In those 9C3 methods.

There are now just 6 open sockets after the 3 red bulbs have been installed.

Put three red bulbs in the first three sockets.

None = 9C3

There are 4 yellow bulbs in 4 sockets.

Way count is 6C4

Two sockets hold two blue bulbs.

Number of ways = 2C2

For the four yellow lights, we have a choice of "6 sockets, choose 4" 6C4 in that manner.

There are just 2 open sockets left once the 4 red lights are screwed in.

The blue lights are available in "2 sockets pick 2." Consequently, (2C2) = 1 way.

Once those two bulbs were screwed in, a bulb was present in each socket.

Total number of methods is 84 * 15 * 1 or 9C3 * 6C4 * 2C2.

1260 different ways in total.

So, there are 1260 total ways.

The solution is 1260 (9C3) (6C4)(2C2).

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

{1,3,5,7}

Step-by-step explanation:

P-Q = cancel item's from P who are also in Q = P - (P ^ Q)  =  {2,4,6}

now (P-Q)' = U - (P-Q)

                  = {1,2,3,4,5,6,7} - {2,4,6}
                  = {1,3,5,7}

Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes

Answer:

What graph

The time taken by the shipping company to pack 180 boxes is 15 hours.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

The given graph is the direct relation and has a constant proportion as,

Book packed/hour = 60/5 = 12

With this constant of proportionality,

For 180 boxes,

180/hour = 12

Hour = 15

Hence "It takes the shipping business 15 hours to pack 180 cartons".

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Missing data shown below,

Answer:

the first one is no correlation

Answer:

(I agree with answer above for the 1st slide.)

2nd slide answer: B
3rd slide D

Explanation:

The 2nd slide is B because most of Line A's points are not on or near the line drawn.

The 3rd slide is D because the y - intercept is at 10 which is (0,10).

(Y - intercepts are directly on the y - axis.) The slope is 1/5 because it goes up 1 unit and across 5 units to the next point the line crosses.

slope = rise/run