Solve the inequality. Graph the solution.Z/4 is less than or equal to 12.

We need to solve the equation:

Then:

Therefore, t=-12.

Then the correct answer is A. 5/8 barrel/hour

The slope will be 4/5.

And, The y - intercept will be (0, - 1)

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The points are,

(0, - 1) and (5, 3)

Now,

Since, The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is;

m = (y₂ - y₁) / (x₂ - x₁)

So, The slope of the line passing through the points (0, - 1) and (5, 3) is;

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - (-1)) / (5 - 0)

m = (3 + 1) / 5

m = 4/5

And, The y - intercept is at x  = 0

Thus, The slope will be 4/5.

And, The y - intercept will be (0, - 1)

Learn more about the equation of line visit:

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step 1

Find the z-score

z=(49-52)/7

z=-0.43

using the tables

P=33.36%

therefore

Answer

The red line represents y = x + 1

The blue line represents y = 2x - 7

We can see that the two lines and equation intersect at (8, 9)

Solution

x = 8

y = 9

Explanation

The two equations are

y = x + 1

y = 2x - 7

To solve this graphically, we will plot the two equations on the same graph and the solution will exist at the point where the two lines meet.

To plot the lines for each of these equations, we will use intercepts to obtain two points on each line and then connect the two points to get each of the lines.

y = x + 1

when x = 0

y = x + 1

y = 0 + 1

y = 1

First point on the line is (0, 1)

when y = 0

y = x + 1

0 = x + 1

x = -1

Second point on the line is (-1, 0)

The two points are (0, 1) and (-1, 0)

y = 2x - 7

when x = 0

y = 2x - 7

y = 2(0) - 7

y = 0 - 7

y = -7

First point on the line is (0, -7)

when y = 0

y = 2x - 7

0 = 2x - 7

2x = - 7

Divide both sides by 2

(2x/2) = (-7/2)

x = -3.5

Second point on the line is (-3.5, 0)

The two points are (0, -7) and (-3.5, 0)

The graph of this question will now be presented under answer and the point of intersection will bw evident.

Hope this Helps!!!

Answer:

Both

Explanation:

To determine the better buy, find the unit price for each of the purchase:

Similarly:

Therefore, to the nearest cent, both are equal buys since they have the same value.

Answer

x = 85°

Explanation

The image of this question shows that the two angles 20° and (x - 15)° both sum up to give a right angle (90°). So,

20° + (x - 15)° = 90°

20° + x - 15° = 90°

x° + 20° - 15° = 90°

x + 5° = 90°

x = 90° - 5°

x = 85°

Hope this Helps!!!

So, Sin QOP = QP/OQ = OPPOSITE/ Hyp

Then, cos PQO = QP/OQ = Adjacent/ Hyp

Using the same logic, Cos ROQ = RO/OQ = Adj/Hyp

Then, sin QPO = RO/OQ = Opp/Hyp

Hello!

First, let's remember about the integers numbers.

These numbers can be positive or negative (and include the number 0). The main characteristic is that these numbers don't have a decimal part.

Knowing it, we can say that are integers:

• -1,

• 0,

• 2,

• -2.

In the number line, we'll have:

ANSWER

EXPLANATION

The second equation;

It is an Elipse.

Ellipse standard equation;

Rewrite the given equation in the form of the standard equation;

Hence, we have;

Therefore the ellipse properties are;

Major axis is;

Minor axis is;

the given diagram:

We have to find the value of DE

Since all the lines intersect at right angle

Answer : DE = 8ft

To find the length of the segment use the Pythagoras theorem below:

From the graph, we have:

AB = 15 - 3 = 12

BC = 7 - 2 = 5

Let's solve for the length of the segment AC:

Take the square-root of both sides:

Therefore, the length of this segment is 13

ANSWER:

13

80%

1) Since the prices on Target dropped from $15 to $12 to find the equivalent percentage of $12 in comparison to $15 we need to write down the following ratio:

Note that we cross multiplied that ratio and then on the second step we have divided both sides by 15.

2) Hence, I paid 80% of the original price that day

GIven:

The expressions are given as,

The objective is to find g(h(-1-b)).

Explanation:

To find h(-1-b):

The value of h(-1-b) can be calculated by replacing the n with (-1-b) in the expression of h(n).

To find g(h(-1-b)):

The value of g(h(-1-b)) can be calculated by replacing the n with h(-1-b) in the expression g(n).

On further solving the equation (2),

Looking at the graph

we have that

The local minimum is at

The values of the local minimum are

For x=-4 ------> y=-1

For x=1 -----> y=-1

Explanation

Step 1

Zeros

A(-6,0) B(4,0)

because

Step 2

table

I hope this helps you

The given expression can be simplified as follows:

Compare with the given term as follows:

Therefore r, the exponent of y is 5

s, the exponent of z is 25

t, the exponent of x is 1.

A) To find the external angles of the quadrilateral we will walk around the shape measuring every turn we take. We will start on the A point, rotate clock-wise and move in the direction of point "B", when we get there we will rotate clock-wise again and walk to the direction of point "C". When we do get to the point C we will notice that we rotated 180 degrees in relation to the initial position we had in point A. Moving forwars we will now rotate clockwise and go to the poind D, rotate clock-wise again when we get there, performing all the rotations needed. We will notice that we have the same orientation from the beginning, this means that we rotated 360 degrees. In other words the sum of the external angles of the quadrilateral is 360 degrees.

B) Yes, any regular polygon will have the sum of its external angles equal to 360 degrees.

C) The internal and external angles are suplementary. This means that the sum of these angles must be equal to 180 degrees, therefore:

Since each external angle is the same as "180 degrees" minus the internal angle that is close to it we can represent the sum of the external angles as 360 degrees and use the mentioned relation to convert them into internal angles. If we isolate them as a sum we will find the value of the sum of the internal angles.

D) If we look at the fith line from the solution above we will notice that the sum of internal angles is represented by "(4-2)*180", the polygon had "4" sides. This means that for one that is 5 sides we should expect that it would be "(5-2)*180" and so on. So the formula is:

Where "n" is the number of sides of the polygon.

1) We need to consider the fact that perpendicular lines described by linear functions have opposite and reciprocal slopes when compared to the original linear function.

2) So we can state that the perpendicular line to y=-5x-3 has a slope of :

3) Now, the next step is to plug into the Slope-intercept form the following point (15,4) and then find the y-intercept:

4) Thus, the equation of a perpendicular line to the line described by the linear function y=-5x-3 is:

$120

Explanation

remember

it means you can find 75 % of any value, just by doing th product of the number and 0.75

Hence, 75% is $120 ,

the discount is 120,the new price is 40

the money you save is the difference, it is 120

I hope this helps you

We are asked to determine the test statistic for two populations. To do that we will use the following formula:

Where:

Substituting the values we get:

Solving the operations we get:

Therefore, the test statistic is 1.596.

To determine the P-value we will determine the probability that the test statistic is less than the value we determined. This is:

The value of the probability we find it in the z-table using the value z = 1.596, we get:

Therefore, the p-value is 0.9441.

1. Identify the given from the statements.

• Let the side of the square base= s

• Height of the rectangular box be= h

• Given that :

s^2h = 20ft^3

solving for sh: s^2h = 20

s^2=20/h

s*s/s = 20/h /s

s = 20/hs

• Therefore sh = 20/s

Expandingthe given statements , we learn that :

• Material cost for base per square foot = 20 cents

• Material cost for sides per square foot = 18 cents

• Material cost for the top per square foot = 14 cents

2. Calculate Total cost

Total cost = {(s^2*20) + 4(sh)*18 +s^2*14}cents

= 20s^2 + 72*20/s + 14s^2

=34s^2 + 1440/s

• Expressing Total cost in terms of x , let s = x .

• Then Total cost (x) = 34x^2 +1440/x

2. Calculating the domain of TC(x) =34x^2 +1440/x

x <0 or x> 0

Domain (-∞;0) U(0;∞)

Explanation

The population of Linton is 742*12=8904

Answer

8904

We must substitute each pair into our equation:

A. If we substitute point (1,1), we have

then, this point is a solution.

B. If we substitute point (-1,1), we have

this means that this point is not a solution.

C. If we substitute point (-6,7), we have

this means that this point is not a solution.

D. If we substitute point (3,-11), we have

then, this point is a solution.

Therefore, the solutions are option A and D

Since the elongation E varies directly with the weight W, they are related as follows

where k is the constant of proportionality. In order to find k, we can substitute the given values, that is, when E=2, W=15, then we have

Then, k is given as

Therefore, our formula for any E and W is

Now, in order to find E in the second case, by replacing W=10, we get

which yields

Therefore, the answer is

The ratio of time spend for stretching to time spend for exercise remain same.

Equate the ratio of time spend for stretching to time spend for exercise in both cases.

So Ruby spend 112 and a half minute to spend 15 minutes in stretching.

So answer is 112.5 min or

Answer:

11, 7, and -8

Apply the distance between 2 points formula:

We have the points:

(x1,y1) = (-4,3)

(x2,y2) = (8,-6)

Distance = 15

Answer:

it's 2

Step-by-step explanation:

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