Chapter 5 how are integers and absolute value used in a real-world situations?

the piece-wise function is, -x - 5 when x ≠ -2

and when x = -2, the function's value is -2

what that means is when x = -4, the subfunction of -x - 5 is the one to use, because x = -4 is in that range

so f(-4) = -(-4) - 5 => f(-4) = -1.

so the function's graph look more or less like the one below, with a solid line going but with a gap at x = -2.

Answer:

It ether -36 or a-28

Answer:

First space: 7

second space: 2

third space: -7

last space: -12

Step-by-step explanation:

To subtract, use "Add the opposite". In the problem the minus has aready been changed to adding, so you just change the second number (-7 in the first part or 7 in the second part) to their opposite sign. see image.

Answer:

The mean is 56.6, the median is 53, modes are 41, 43, and 63, the range is 56, and the IQR is 20.

Step-by-step explanation:

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count

= 849 / 15

= 56.6

Two solids with the same surface and different volumes are a cube of side length of 1 unit, and a sphere of radius of 0.69 units.

First, let's define a cube of a side length of 1 unit. The surface of this cube is equal to 6 times the area of one of the faces, or:

S  = 6*(1 unit square) = 6 units square.

And the volume is equal to the side length cubed, so we have:

V = (1 unit)^3 = 1 unit cubed.

Now, let's find a sphere with the same surface than our cube. For a sphere of radius R, the surface is:

S = 4*3.14*R^2

Then we must have:

4*3.14*R^2 = 6 units square

R = √(6/(4*3.14)) units = 0.69 units.

And the volume of this sphere is:

V = (4/3)*3.14*R^3 = (4/3)*3.14*(0.69 units)^3 = 1.38 cubic units.

So the sphere has the same surface and more volume.

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

https://brainly.com/question/10171109

Answer:

B option is the answer, hope this helps!!

Answer:

340.8 m

Step-by-step explanation:

Find the area of rectangles:

15 x 8 = 120

6x8=48

16x8=128

Find area of triangle:

1/2 5.6 x 16 = 44.8

Add together:

120 + 48 + 128 + 44.8 = 340.8 m

Hope this helps :)

7 3/4 pounds contains 124 ounces

8 ounces = 0.5 pound

X ounces = 1 pound

X = 8 / 0.5 = 16 ounces

7 3/4 = 7.75

7.75 contains = 7.75 * 16

= 124 ounces

8+3=11 6-1=5 11+5=16 5/16

A) 4/7

B) 9/16

C) 4/9

Answer:

D.  1  1/2 feet

Step-by-step explanation:

Multiply the numbers to find the length of wire used.

Correct choice is D

Answer:

2.03 × 103 and 8.64 × 102

Step-by-step explanation:

Answer:

The equation  sets the parabola. You can find the parabola vertex as:

then

This means that the maximum height is 11.375 m and a projectilereaches this height at 1.25 seconds.

The projectile initially launched at time t=0, so the initial height is h(0)=2 m

Step-by-step explanation:

Answer:

P=1, G=2, T=3, E=6, D=7, A=9

explanation:

CAT+DOG=PETS

Replace each letter with its value:

893+742=1635 which is true

Answer:

volume is 20^3 inches i hope i helped

(mark brainliest)

Answer:

Applying Pythagoras we get x= 9

Answer:

using the relation,

h²=p²+b²:

15²=x²+12²

x=(225-144)^0.5

x=9

therefore x equal 9 meter.

Null hypothesis (H0): The mean level of the chemical in tomatoes from this producer is equal to or less than the recommended level of 0.4 ppm.

Given that, the maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4 parts per million (ppm).

Alternative hypothesis (H1): The mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm.

To test the claim, we will use a one-tailed hypothesis test with a significance level of 0.05. The test statistic is calculated by subtracting the mean of the sample from the mean of the population, and dividing the result by the standard deviation of the population.

Test statistic = (Sample mean - Population mean) / Standard deviation of population

Test statistic = (0.465 - 0.4) / 0.21

Test statistic = 2.38

Since the test statistic is positive, we can reject the null hypothesis. The P-value for this test statistic is 0.0095, which is less than 0.05.

Therefore, the data provides sufficient evidence to support the claim that the mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm.

Learn more about the random sample here:

https://brainly.com/question/12719656.

#SPJ1

Answer:

x=6 y=4

Step-by-step explanation:

I hope this helps you and please mark me as brainlest!

The thickness of the pile of books measured by Juan and the information in the line plot is 5.

Based on the information in the line plot, the thinnest book has a thickess of  1 1/4 and the thickest book has a thickess of 2 1/2.

The thickness of the pile of books = (1 1/4 x 2) + 21/2

(5/4 x 2) + 2 1/4 = 5

Please find attached the complete question. To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Answer:

4) C

5) A, B, and D

6) 0.99m+50

7) h=d/2

Step-by-step explanation:

Answer:

I think the area is 513/21

Circle One:

No

Explain:

The chart shows that teenagers get roughly between 7 - 8 and 1/2 hours of sleep every night. It shows that no teenagers get 9 and 9 and 1/2 hours of sleep. This is why their data does not support the delay to starting time.

Answer:

Step-by-step explanation:

true

if angle BCA is 90° and angle EFD is 90°

and if C to A is 14, half of that is 7 which is what F to D is

Answer:

B. y=-3x+4

Step-by-step explanation:

slope always has the variable

Answer:

Step-by-step explanation:

hello :

an equation for the line is : y=ax+b   when a is the slope

so : a= -3

y-intercept of 4  means x=0   y=4

Answer: B    because   x=0    y=-3(0)+4  = 4

Answer:

The results of the convenience sampling cannot be generalized to the target population because of the potential bias of the sampling technique due to under-representation of subgroups in the sample in comparison to the population of interest. The bias of the sample cannot be measured.

Answer:

  18.  $5890

  19.  Mitsubishi Mirage

Step-by-step explanation:

The depreciated value can be found using an exponential relation. The decay rate here is given as 12.5%. The exponential function will have the form ...

  y = a·b^x . . . . . a = initial value, b = decay factor = 1 - decay rate

__

The above equation will have a=15,000, representing the initial value of the car. It will have b=(1-0.125) = 0.875, the decay factor for the car's value. In the 7 years between your 18th and 25th birthdays, the car will have declined in value to ...

  y = $15000·0.875^7 ≈ $5890.44

When you turn 25, the car will be worth about $5890.

__

We found three cars with a price under $15,000:

Of these, the Mirage gets the best mileage and has the most cargo space. (It also has the smallest engine.) The Spark has a continuously-variable transmission, not a 5-speed manual, so will be somewhat easier to drive. Its mileage is almost as good, but its range is about 10% less than that of the Mirage or Versa.

(Your curriculum may offer different choices. We cannot tell.)

Perhaps you got a Mitsubishi Mirage.

Answer:

thats only the answer <3

Answer:

8 in

Step-by-step explanation:

Area=(1/2)*(p1+p2)*d

Answer:

52

Step-by-step explanation:

a-8x =4-8×-6

=4-(-48)= 4+48=52

Answer:

A- 14:5

B - 9:14

Step-by-step explanation:

Hope this helps!!!