In the rhombus m<1 = 160 what are m<2 and m<3. This diagram is not drawn to scale. Show all work

The coordinate of point X which is 5/6 of the distance between P and Q is 5/11

Here, we want to calculate the coordinates of point X which is 5/6 of the distance between P and Q

Mathematically, we can use the internal division formula.

In this case, the coordinates of y is 0 in all cases

So the coordinates of P is (-5,0) while the coordinates of Q is (7,0)

Now, the coordinates of X divides the line PQ in the ratio 5 to 6

Using the internal divison formula, we have;

In this case however, we are going to focus on the x-axis part of the question since the values of y at all points is 0

m , n are the division values which are 5 and 6 respectively in this case

x2 is 7 while x1 is -5

Substituting all of these, we have;

So the coordinate of point X which is 5/6 of the distance between P and Q is 5/11

Given:

The cost of five pounds of sugar is $4.05.

Explanation:

To determine the amount of sugar that individual get for 1 dollar, divide 4.05 by 5.

Divide 4.05 by 5 to determine the amount of sugar individual get per dollar.

Answer:

h(x-1) = - 4x + 7

Explanation:

To find h(x - 1), we need to replace x by (x-1) on h(x). Then:

Therefore, h(x-1) = - 4x + 7

Solution:

Given:

Stephanie is correct. Because:

Thus, the proof shows that two pairs of corresponding angles and the included sides are congruent.

Answer:

0.3 recurring

Step-by-step explanation:

3x+4<5. -4

3x<1. ÷3

×<0.333

We solve as follows:

*We determine first the slope (m), that is:

Now, using the slope and one point of the line, we replace in the following expression:

We can use any point of the line, but I will be using the point (1, 1), that is:

Now, we solve for y:

Answer:

Step-by-step explanation:

Solve this situation with the help of the number line, if B and C are sets of real numbers defined as follow:

The intersection is an interval that lies within all of the given intervals. If no such intersection exists then the set is empty.

In this case, for the intersection between B and C:

For the union between B and C:

Explanation

Question 57

To find the extreme values

So, we will have the steps below

Step 1:

Step2:

Step 3:

Step 4:

Thus, we will have

Hence, our answer is

Answer:

4u + 6 > 30

4u > 24

u > 6

Solution is u = 6

Answer:

4u+6>30

4u>30-6

4u>24

u>6

Answer:

u>6

The number of hours (time) after which both Remi and Pam would be exactly 15 miles apart is 3 hours.

First of all, we would have to determine the amount of distance (d) covered by both Remi and Pam.

Mathematically, the distance covered (traveled) by a physical body (object) can be calculated by using this formula:

Distance = speed × time

For the distance covered (traveled) by Remi, we have:

r = 3 × t

r = 3t.

For the distance covered (traveled) by Pam, we have:

p = 4 × t

p = 4t.

Also, the amount of distance (d) covered by both Remi and Pam forms a right-angled triangle as they both jogged East and South respectively. Therefore, there distances can be modeled by Pythagorean theorem:

d = r² + p²

Substituting the parameters into the formula, we have;

15² = 3t² + 4t²

225 = 9t² + 16t²

225 = 25t²

Dividing both sides by 25, we have:

t² = 225/25

t² = 9

t = √9

Time, t = 3 hours.

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Consistent dependant system- System B: It has infinite number of solutions, in this case, the graphs of the lines are the same.

Consistent independent system- System C: It has exactly one solution. In this case, both lines cross each other at exactly one point.

Solution : (-2,-2)

Inconsistent: System A.

When a system has no solution, lines never cross each other.

We are asked to find out the values of sine 60° and sine 30°

Recall from the trigonometric ratios,

From the given triangle,

With respect to angle 60°, the opposite side is 25√3 ft and the hypotenuse is 50 ft.

Let us substitute these values into the above sine ratio

So, the value of sine 60° is √3/2

From the given triangle,

With respect to angle 30°, the opposite side is 25 ft and the hypotenuse is 50 ft.

Let us substitute these values into the above sine ratio

So, the value of sine 30° is 1/2

Therefore, the sine of 60ﾟ angle is √3/2 and the sine of 30ﾟ angle is 1/2

The volleyball travelled a total distance of 10 meters

From the question, the given parameters are

Initial height = 8 meters

Height of bounce = 2 meters

The expression of the total distance is represented as

Total distance = |-8| + 2

Remove the absolute symbol

Total distance = 8 + 2

Evaluate the sum

Total distance = 10

Hence, the total distance travelled by the volleyball is 10 meters

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In order to determine the corresponding graph to the given function f(x), consider the y-intercept of the function (the value of the y-coordinate of the curve when x = 0).

The y-intercept is the value of f(x) for x= 0. Replace x = 0 into the given function:

Then, the point of intersection of the curve with the y-axis is (0 , 7/2) or (0 , 3.5).

You can notice that from the given answer choices, that option two (up right side) has the required y-intercept. Then, that graph matches with the given function.

Answer: $79 and percentage is 36%

Draw the tank

we can use the formula of the volume of a cylinder

we can repalce the value of the volume (320pi) and the height

now solve for r^2 dividing 20pi on both sides

and solve for r using roots

the value of the radious is 4ft and the diameter double, then

diameter of the cylinder is 8 ft then rigth option is C

The sample methodology whose accuracy is better than another is the one with more approximation, this comes from the number of repetitions.

Therefore, option A is the one with more approximation, which mean the least error margin.

Simplify the inequality.

So answer is x<-7.

Solution:

The real weight is 10kg;

But the digital scale reports 8.975kg.

Thus;

Accuracy refers to the closeness of the measure to the real value, while precision, in this case, refers to the level of significant figures that the scale report.

The fact that the scale reports the number with 4 significant figures means that it is very precise, but we still observe that the report is not so close to the real value, thus, it means that the scale is not accurate.

FINAL ANSWER: A. The scale is precise but not accurate

The correct answer is angle 90 degrees.

Explanation:

The tangent of angle 90 degrees is undefined.

$225,The term "instalment payments" describes a client paying a bill over a set period of time in incremental amounts. Start billing for nothing. A payment schedule agreed upon by the buyer and seller is known as installment payments.

The term "instalment payments" describes a client paying a bill over a set period of time in incremental amounts. Start billing for nothing. A payment schedule agreed upon by the buyer and seller is known as installment payments. Typically, it is mentioned unequivocally in a contract's or invoice's payment terms.

one of a series of regular loan, debt, or other payment installments; also, the system of monthly payments: This kind of installment payment is not subject to an additional cost.

An installment is a portion or segment of something, such as the most recent episode of your favorite TV show or the installment you pay each month toward your credit card debt.

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In order to find the vertex of this quadratic equation, first let's find the coefficients a, b and c from the standard form of the quadratic equation:

Comparing with the given equation, we have a = -5, b = -270 and c = -520.

Now, let's calculate the x-coordinate of the vertex using the formula below:

Using this value of x in the equation, we can find the y-coordinate of the vertex:

Therefore the vertex is located at (-27, 3125).

From the question, we're told that Hector earns $210.00 for working 2hours every week. Let's go ahead and determine

The angles sum up to give 180°

Only one of the angles can be an obtuse angle, we can;t have two bothuse angle in a triangle. BUT we can have two acute angles and one obtuse angle in a triangle.

We can also have a 90 degree and 2 acute angle in a triangle.

Examples

The angles sum up to give 180°

Only one of the angles can be an obtuse angle, we can;t have two bothuse angle in a triangle. BUT we can have two acute angles and one obtuse angle in a triangle.

We can also have a 90 degree and 2 acute angle in a triangle.

Examples

Let's begin by identifying key information given to us:

Number of seats = 20

Number of reservation = 23

14 regular customers show up. So, we have:

The number of seats left is:

Overbooking means that more than 6 remaining customers show up (that could mean 7 or 8 or 9 of the remaining customers show up)

The probability of more than 6 customers arriving is given by:

Calculate:

The fractional exponent can be written as:

The square root of 81 is 9, thus:

Using the normal distribution, it is found that the measures are given as follows:

a) Proportion with less than 125 mg/dl: 0.16.

b) Percentage between 200 and 225 mg/dl: 2.35%.

The z-score of a measure X of a variable that has mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation of the cholesterol levels are given as follows:

[tex]\mu = 150, \sigma = 25[/tex]

The proportion below 125 mg/dl is the p-value of Z when X = 125, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (125 - 150)/25

Z = -1

Z = -1 has a p-value of 0.16, rounded with the Empirical Rule, which is the proportion.

The proportion with cholesterol levels between 200 and 225 mg/dl is the p-value of Z when X = 225 subtracted by the p-value of Z when X = 200, hence:

X = 225

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (225 - 150)/25

Z = 3

Z = 3 has a p-value of 0.9985.

X = 200

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (200 - 150)/25

Z = 2

Z = 2 has a p-value of 0.975.

0.9985 - 0.975 = 0.0235 = 2.35%, which is the percentage.

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We have to find the value of x for which f(x) has a minimum.

Extreme values of f(x), like minimum or maximum values, correspond to values of its derivative equal to 0.

In this case f'(x) = 0 for x = -2 and x = 0.

We can find if this extreme value is a minimum if the second derivative f''(x) is greater than 0.

In this case, f'(x) = 0 and f''(x) > 1 for x = 0.

Then, x = 0 is a local minimum.

Answer: x = 0

the product of 12 and 3 decreased by 6​

we have that

the product of 12 and 3 ------> is number 12 multiplied by 3

12*3

decreased by 6​

12*3-6=36-6=30

A generic cosecant function is

We must find A, k, θ, and C using the information that we have.

Finding A:

To find A we can use the range of the function, we know there is a gap between -9 and 5, that's the crucial information, the value of A will be the mean of |-9| and |5| (in modulus!), therefore

Therefore

Finding C:

We can use the fact that we know A and find C, let's suppose that

For an unknown value of x, it doesn't matter, using the range again we can use the fact that 5 is a local minimum of the function, therefore, when the csc(kx + θ) is equal to 1 we have that the function is equal to 5

And we find that C = -2. Tip: You can also suppose that it's -1 and use -9 = 7 + C, the result will be the same.

Finding k:

Now we will use the asymptotes, we have two consecutive asymptotes at x = 0 and x = 2π, it means that the sin(kx) is zero at x = 0 and the next zero is at x = 2π, we know that sin(x) is zero every time it's a multiple of π, which gives us

Therefore, k = 1/2

Finding θ:

It's the easiest one, since we have a zero at x = 0 it implies that θ = 0

Therefore our function is

Final answer: