An experiment consists of drawing two coins out of a jar one at a time without replacement. The jar contains 1 penny, 1 nickel, 1 dimand 1 quarter.Which of the following tree diagrams represents

4y = -3x - 76

The given equation is:

-4x + 3y = -15

Make y the subject of the formula to express the equation in the form

y = mx + c

Comparing the equation with y = mx + c

the slope, m = 4/3

the y-intercept, c = -5

The equation perpendicular to the equation y = mx + c is:

The line passes through the point (-8, -13). That is, x₁ = -8, y₁ = -13

Substitute m = 4/3, x₁ = -8, y₁ = -13 into the equation above

If l and m are parallel, then ∠1 must measure 55°.

The addition of the angles of a triangle is equal to 180°, in consequence,

Answer: The ratio of hamburgers to the total lunch items is 16 : 29

Number of hamburgers = 64

Number of hot dogs = 52

Total number of items for lunch = number of hamburgers + number of hot dogs

Total number of items for lunch = 64 + 52

Total number of items for lunch = 116

The ratio of number of hamburgers to the total number of lunch items

64/116

16 : 29

Therefore, the ratio of hamburgers to the total lunch items is 16 : 29

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

box-and-whisker plot

Step 02:

quartile values:

We must analyze the plot to find the solution.

box-and-whisker plot:

q1 = - 4

q3 = 6

The answer is:

q1 = - 4

q3 = 6

Here we must apply the following rule:

Since m ∠NRQ = 42°, we have:

x=-3

x=21

Answer:

2b + 24x

Step-by-step explanation:

The equation is,

→ 7b + 3x − 5b + 21x

Simplifying the given equation,

→ 7b + 3x − 5b + 21x

→ (7b - 5b) + (3x + 21x)

→ 2b + 24x

Hence, the answer is 2b + 24x.

We know that the total is 40 students, and 24 of them are girls, then the fraction that represents it is

But we must simplify the fraction, let's divide the denominator and numerator by 4

Now we can do it again by 2

Therefore the correct answer is the letter B.

Answer: 12 1/4

Step-by-step explanation: 16 =4 is 12, and 3/4 - 2/4 is 1/4

hope this helps :)

Let's simplify the radicals:

We have a function of which we only know the graph.

We have to find in which intervals the function is decreasing.

We know that a function is decreasing in some interval when, for any xb > xa in the interval, we have f(xa) < f(xb).

This means that when x increases, f(x) decreases.

We can see this intervals in the graph as:

We assume each division represents one unit of x. Between divisions, we can only approximate the values.

Then, we identify all the segments in the graph where f(x) has a negative slope, meaning it is decreasing.

We have the segments: [-3, -1.5), (1,5, 4.5) and (7,9].

Answer:

The right options are:

Between 1.5 and 4.5

Between -3 and -1.5

Between 7 and 9

the given expression is,

= - ( - 5.25)

= 5.25

thus, the answer is 5.25

L = length

W = width

L = 4 + 3*W

The perimeter of a rectangle is the sum of its sides: 2L + 2W. Since it's 72, we have:

2L + 2W = 72

Now, to solve for L and W, the dimensions of the garden, we can use the first equation (L = 4 + 3*W) into the second one (2L + 2W = 72):

2L + 2W = 72

2 * (4 + 3*W) + 2W = 72

2 * 4 + 2 * 3W + 2W = 72

8 + 6W + 2W = 72

8W = 72 - 8

8W = 64

W = 64/8 = 8

Then we can use this result to find L:

L = 4 + 3W = 4 + 3 * 8 = 4 + 24 = 28

Therefore, the garden has a width of 8 and a length of 28.

Answer:

The length of each cube is given below as

Concept:

To figure out the dimension of the prism, we will calculate the number of cubes to make the length,width and height and multiply by 1/2

To figure out the length of the prism,

we will multiply 1/2in by 5

To figure out the width of the prism,

we will multiply 1/2in by 4

To figure out the height of the prism,

we will multiply 1/2 in by 3

Hence,

The dimensions of the prism are

Length = 2.5in

Width = 2in

Height = 1.5 in

2.5in by 2in by 1.5in

Part B:

To figure out the volume of the prism, we will use the formula below

By substituting the values, we will have

Alternatively, we will calculate below by calculate the volume of each cube and then multiply by the total number of cubes

Hence,

The volume of the prism is = 7.5in³

From the question, it is:

An assumption about a population parameter that is verified based on the real results of sample data is a/an Statistical Hypothesis.

Hypothesis testing is a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or a population probability distribution.

Therefore, the correct options is A, which is Statistical Hypothesis.

we have that

sin(B)=56/65 -----> by opposite side angle B divided by the hypotenuse

Hence, the correct option is C: x=5

Answer:

False

Explanation:

A relation is a function each term of the first set is related to only one term of the second set. In this case, 1 is related to 5 and to 10, so it is not a function.

Therefore, the answer is

False

Answer

Options B and C are correct.

(5⁸/5⁴) = 625

(5²)² = 625

Explanation

We need to first know that

625 = 5⁴

So, the options that the laws of indices allow us to reduce to 5⁴

Option A

(5⁻²/5²) = 5⁻²⁻² = 5⁻⁴ = (1/5⁴) = (1/625)

This option is not correct.

Option B

(5⁸/5⁴) = 5⁸⁻⁴ = 5⁴ = 625

This option is correct.

Option C

(5²)² = 5⁴ = 625

This option is correct.

Option D

(5⁴) (5⁻²) = 5⁴⁻² = 5² = 25

This option is not correct.

Hope this Helps!!!

An example of a problem for the given diagram:

You go to a store to buy the school supplies you will need for the next term. There are boxes of 7 pencils each, and you decide to buy 5 of those boxes. How many pencils do you end up buying?

Answer:

If two quantites have a proportional relatio

Answer:

what is the shooting percentage?

Answer: 5

To get the similarity ratio, we must know that for the given triangles:

From the given, we know that:

UW = 2

WV = 2

VU = 1

IG = 10

GH = 10

HI = 5

Substitute these to the given equation and we will get:

With this, we have the similarity ratio of ΔGHI to ΔWVU is 5

First we need to find the equation of the line l passing through the points (2, 4) and (5, 1).

The equation of a line is expressed as y = mx+c

m is the slope

c is the intercept

m = y2-y1/x2-x1

m = 1-4/5-2

m = -3/3

m = -1

Get the intercept

Substitute any point (2, 4) and the slope m = -3 into the expression y = mx + c

4 = -3(2)+c

4 = -6 + c

c = 4+6

c = 10

The equation of line l is y = -3x+10

Next is to find the equation of the line w perpendicular to the line l, through P(1, 1).

Since the line w is perpendicular to lin

Explanation

We can deduce from the information that MAT 012 has 3 sections, namely:

Our section, and two other sections

Then, we can also infer that MAT012 has a total of:

Our task will be to get the percentage of our section taking MAT 102

Since our section has 23

Then we can calculate the answer as

Thus, the answer is 34.33%

To solve this question, follow the steps below.

Step 01: Substitute j and k by its corresponding values.

j = 6

k = 0.5

Then,

Step 02: Solve the multiplications.

Step 03: Solve the subtraction.

Answer: b. 20.6.

ANSWER

EXPLANATION

From the given data;

Event A; Alternating even and odd numbers means;

EOE and OEO

Number of favourable outcome is 2 while number of possible outcome is 8

Hence, the probability of Event A IS;

In Event B; More even numbers than odd means having;

EEE,OEE,EEO and EOE

For Event C; an even number on both the first and the last rolls;

EEE and EOE

In order to determine the limit of f(x) when x tends to -4 from the right (4^+), we need to look in the table the value that f(x) is approaching when x goes from -3.9 to -3.99 to -3.999.

From the table we can see that this value is 0.4.

Then, to determine the limit of f(x) when x tends to -4 from the left (4^-), we need to look in the table the value that f(x) is approaching when x goes from -4.1 to -4.01 to -4.001.

From the table we can see that this value is 1.5.

Since the limit from the left is different from the limit from the right, the limit when x tends to -4 is undefined.

Finally, the value of f(-4) is the value of f(x) when x = -4. From the table, we can see that this value is -4.

To find:

The area of canvas needed to cover the tepee.

Solution:

Given that the tepee is in the shape of a right cone, with slant height 18.5 feet and diameter of 20 feet then the radius is 10 feet.

The area of canvas is equal to the curved surface area of the tepee. It is known that the curve surface area of the cone is given by:

Where, r is the radius of the cone and l is the slant height of the cone. So,

Thus, the approximate canvas that would be needed to cover the tepee is 580.9 ft^2.

581Answer:

Step-by-step explanation:

Answer:

y=14000x

Step-by-step explanation:

x represents years after 2020 and y is the number of miles

The required equation for the distance travelled versus number of years after 2020 is given as y = 14000x + 56000.

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The given problem can be solved as follows,

Suppose the year 2020 represents x = 0.

The distance travelled per year can be taken as the slope of the linear  equation.

This implies that slope = 14000.

And, the distance travelled by January 1, 2020 is 56000.

It implies that for x = 0, y = 56000.

The slope-point form of a linear equation is given as y = mx + c.

Substitute the corresponding values in the above equation to obtain,

y = 14000x + c

At x = 0, y = 56000

=> 56000 = 14000 × 0 + c

=> c = 56000

Now, the equation can be written as,

y = 14000x + 56000

Hence, the required equation for number of miles and years for the car is given as y = 14000x + 56000.

To know more about straight line equation click on,

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