Question 15 of 16
Does the table represent a function? Why or why not?
y
4
X23345
56
7
7

The number of possible outcomes that Event E has is 33.

The 36 possible conclusions when rolling two dice is given in the image.

Now, we need to find the event where the sum of two rolled dice is greater than 3

Then, from the outcomes given above we can write those pair whose sum is greater than 3 as

1 + 3=4

1 + 4= 5

1+ 5 = 6

1 + 6 = 7

2+ 2 = 4

2 + 3 = 5

2 + 4 =6

2 + 5 = 7

2 + 6 = 8

3 +3=6

3 + 4 = 7

3 + 5 =8

3 + 6 =9

4 + 3 =7

4 + 4=8

4 + 5 = 9

5+ 5 = 10

5 + 6= 11

6 + 6 = 12

So, there are 33 outcomes whose sum is greater than 3.

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Answer:

d

Step-by-step explanation:

Answer:

30 divided by 0.40 = 75

The original price was $75

Step-by-step explanation:

30 divided by 0.40 = 75

The original price was $75

Answer:

The way adolescents spend their time can strongly influence their health later in life. For youth to maintain a healthy future, they need plenty of sleep; good nutrition; regular exercise; and time to form relationships with family, friends, and caring adults. Additionally, the time adolescents spend in school and in after-school activities with peers and adults can advance healthy academic, emotional, social, and physical development. The amount of time they spend on screens and in social media may also influence adolescents’ overall well-being.

The American Time Use Survey, collected by the U.S. Bureau of Labor Statistics, contains detailed information about how individuals ages 15 and older use their time and provides a picture of a typical weekday and weekend day for a high school teen during the school year. Here we specifically analyze how adolescents ages 15-19 who are enrolled in high school spend their time.

Step-by-step explanation:

Answer:

70 km/hr

Step-by-step explanation:

Answer:

I think it is D because on x, there is a jump of 2 to get from 1 to 3. Than a jump of 2 to get from 4 to 6. Then with y, jump of 4 to get from -1 to 3 than jump of 4 to get from 5 to 9

Step-by-step explanation:

Answer:

dihuyyh

Step-by-step explanation:

well, clearly the tax is the added 42 bucks, so hmmm if we take 600 to be the 100%, how much is 42 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 600 & 100\\ 42& x \end{array} \implies \cfrac{600}{42}=\cfrac{100}{x}\implies \cfrac{100}{7}=\cfrac{100}{x} \\\\\\ 100x=700\implies x=\cfrac{700}{100}\implies x=7\)

Answer:

Answer is 7% sales Tax

Step-by-step explanation:

I first like to take one percent of the original value, in this case 1% of 600 is 6 dollars. I then multiply 6 by the number needed to get to 642, which is 107- you will always then subtract 100 from this number and you get 7%. This should work for other problems as well. This is probably not the best explanation btw

The probability that Jessica picks a yellow pencil is 80%.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.

Now,

The probability of picking a yellow pencil =  the number of yellow pencils / total number of pencils:

Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils

In this case, there are 8 yellow pencils out of a total of 10 pencils:

Probability of picking a yellow pencil = 8 / 10

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

Probability of picking a yellow pencil = 4 / 5

Probability of picking a yellow pencil = 4 / 5 x 100%

Probability of picking a yellow pencil = 80%

Therefore, the probability that Jessica picks a yellow pencil is 80%.

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Answer:

exact form:

9/2

decimal form:

4.5

mixed number form:

4 1/2

Step-by-step explanation: sorry if this wasnt what you were looking for.

Answer:

Diagonal, I'm 90% sure it is at least!!

Answer:

Point form = (3, 7)

Equation form = x = 3, y = 7

Step-by-step explanation:

First we want to replace the occurrences of y in 3x - 4y = -19 with x + 4

3x - 4 (x+4) = -19

Next we simplify the left side.

3x - 4x - 16 = -19

Subtract 4x from 3x

-x - 16 = -19

Then we want to solve for x in -x - 16 = -19

So lets move all terms that do not contain x to the right side.

-x = -19 + 16

Then add

-x = -3

Then we want to divide each term in -x = -3 by -1

y = 3

y = x + 4

Now we want to replace all occurrences of x with 3 in each equation.

y = (3) + 4

x = 3

Add 3 and 4 and we get 7.

Therefore our solution as an ordered pair is (3, 7).

Equation form = x = 3, y = 7.

The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

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Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

Answer:

At 7.5 hours

Step-by-step explanation:

good luck dude

Answer:

At approximately 5.1 hours, both hosts will charge about the same amount.

Step-by-step explanation:

First, form the equations for both hosts.

X represents hours and the number by itself (75, and 84) are the initial amount.

Host A: y = 12.25x + 75

Host B: y = 10.50x + 84

Now, we would set the equations equal to each other to solve for x, which will help us determine when both hosts will charge the same amount.

12.25x + 75 = 10.50x + 84

Subtract 10.50x and 75 from both sides.

1.75x = 9

Now, divide by 1.75.

x = 5.1428571428571428571428571428571

It says round to the nearest tenth, so we would round to 1 decimal place after the decimal.

x = 5.1

At approximately 5.1 hours, both hosts will charge about the same amount.

Answer:

2

Step-by-step explanation:

The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

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Answer:

It’s B)n = 2(2)"

Step-by-step explanation:

Hope this helps

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A = {f, k, m, y}

B' = {k, x, y}

\(A \cup B' = \{f, ~k, ~m, ~y, ~x\}\)

(every element from A and any other element that B' has that A didn't)

A' = {q, x}

B' = {k, x, y}

\(A \cap B' = \{x\}\)

(x is the only element that both sets have)

The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.

It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.

Consequently, it follows from the sine law that;

4 / sin 20° = x / sin 109°

x = 4 sin 109° / sin 20°

x = 11.06.

Ultimately, the number that belongs in the green box is; 11.06.

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The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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Answer:

68?

Step-by-step explanation:

multiples of 5 end in 5 or 0

_ _ _

last digit has 2 choices ( 5 and 0 )

1,3,5,7,9 are odd

so tens digit has 5 choices but we see that 5 is repeated so we split into more cases

when last digit is 0, tens digit has 5 choices then hundreds digit has 8 choices so 1*5*8=40

when last digit is 5, tens digit has 4 choices and hundreds digit has 7 choices (0 can't be first digit) 1*4*7=28

40+28=68

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

UV is undefined because the number of columns in matrix U (2) is not equal to the number of rows in matrix V (3). In order for matrix multiplication to be defined.

a collection of numbers set up in rows and columns to make a rectangular array is called a matrix. The components, or entries, of the matrix are the numbers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

UV is undefined because the number of columns in matrix U (2) is not equal to the number of rows in matrix V (3). In order for matrix multiplication to be defined, the number of columns in the first matrix must match the number of rows in the second matrix.

To perform the multiplication UV, we would need to reverse the order and multiply VU, which would result in a \($1\times 2$\) matrix:

\($$VU = \left[\begin{array}{ccc}1&1&-1\end{array}\right]\left[\begin{array}{cc}-3&9\\6&-3\end{array}\right] =\left[\begin{array}{cc}-9&6\end{array}\right]$$\)

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The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Answer:

one solution = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+17=4(3x−1)

Step 1: Simplify both sides of the equation.

5x+17=4(3x−1)

5x+17=(4)(3x)+(4)(−1)(Distribute)

5x+17=12x+−4

5x+17=12x−4

Step 2: Subtract 12x from both sides.

5x+17−12x=12x−4−12x

−7x+17=−4

Step 3: Subtract 17 from both sides.

−7x+17−17=−4−17

−7x=−21

Step 4: Divide both sides by -7

-7x/-7 = -21/-7 = 3

Answer:

Quadrilaterally-faced hexahedron

12 edges and 8 vertices

Step-by-step explanation:

This would be a regular dice which is used in the vast majority of board games that exist. The shape of this is formally known as a Quadrilaterally-faced hexahedron, also known as a cuboid. There are various versions of a hexahedron such as a Rectangular cuboid or a Rhombohedron, one of which has rectangular faces and the other has rhomboid faces. The hexahedron has  12 edges and 8 vertices in total

Answer: x + 8 - 8 = 10 - 8

Simplifying the left side of the equation gives us:

x = 2

Therefore, the value of x in this equation is 2.