Simplify 6c -2d+9d+10c

Answer:

=============================

Segment EF with:

Use midpoint equation:

Find unknown coordinates of the point F:

So the point is F = ( - 22, 4)

Answer:

F = (-22, 4)

Step-by-step explanation:

Midpoint between two points

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\\\\ \textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.}[/tex]

Given information:

Define the endpoints of the line segment EF:

Substitute the given information into the formula:

[tex]\implies (x_M,y_M)=\left(\dfrac{x_F+x_E}{2},\dfrac{y_F+y_E}{2}\right)[/tex]

[tex]\implies (-6,-2)=\left(\dfrac{x_F+10}{2},\dfrac{y_F-8}{2}\right)[/tex]

Find the x-coordinate of M:

[tex]\implies \dfrac{x_F+10}{2}=-6[/tex]

[tex]\implies x_F+10=-12[/tex]

[tex]\implies x_F=-22[/tex]

Find the y-coordinate of M:

[tex]\implies \dfrac{y_F-8}{2}=-2[/tex]

[tex]\implies y_F-8=-4[/tex]

[tex]\implies y_F=4[/tex]

Therefore, the coordinates of endpoint F are (-22, 4).

The cosine ratio is given by the following formula:

The adjacent leg of angle Z is side ZY=12 and the hypotenuse of the triangle is the side XZ=20, thus the cosine ratio of Z is:

The estimate of the impact that a successful preventive program might have can be derived from

attributable risk.

In epidemiology, attributable risk or excess risk is a phrase equivalent with risk difference, which has also been used to express the attributable proportion among the exposed and the population.

Attributed risk assists in determining how much of an outcome is attributable to a certain risk factor (i.e., an estimate of the excess risk) in a population exposed to that factor.

The rate (percentage) of a health result (illness or death) in exposed persons that can be linked to the exposure is known as the attributable risk (AR). Attribitable risk measures how much more common a result is in absolute terms among the exposed than the non-exposed.

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the difference in mean life expectancies for the two groups is within 1 year of the true difference is 1729

Health issues can arise from substances other than chemicals like bleach. The way you clean your house and the environment in which you live both matters. Scientists caution that performing these tasks could have a detrimental effect on your health.

A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score.

Given data:

σ₁ = σ₂ = 15

n₁ = n₂ = n

Margin of error = 1

Confidence level = 95% = α = 1 - 0.95 = 0.05

z score of α / 2 = 0.05 / 2 = 1.96 , n₁ = n₂ = ?

For the difference of mean test, the margin of error will be:

E = z score  α / 2 [tex]\sqrt \frac{(SD1)^{2} }{n1}+\sqrt \frac{(SD2)^{2} }{n2}[/tex]

[tex]1 = 1.96 \sqrt\frac{(15)^{2} }{n} + \sqrt \frac{(15)^{2} }{n}[/tex]   [∵ n₁ = n₂ = n]

[tex]1 = 1.96 * 15 \sqrt \frac{2}{n}[/tex]

1 = 41.58 / √n

√n = 41.58 / 1 = 41.58

On squaring both sides:

n = 1728.90 ≈ 1729

∴ n₁ = n₂ = 1729

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The final elevation of the AUV is [tex]-31 \frac{5}{12}[/tex] feet.

Given that, AUV is at an elevation of -8.25 ft. It dives down [tex]6\frac{2}{3}[/tex] ft to collect a specimen. Then the AUV dives another [tex]15\frac{3}{4}[/tex] ft.

The angle of elevation in math is "the angle formed between the horizontal line and the line of sight when an observer looks upwards is known as an angle of elevation".

Here, the mixed fraction can be written in improper fraction

[tex]6\frac{2}{3} = \frac{20}{3}[/tex] and [tex]15\frac{3}{4}=\frac{63}{4}[/tex]

Now, 8.25 = 825/100 = 33/4

The final elevation = -33/4-20/3-63/4

= -99/4 - 20/3

= -297/12 -80/12

= - 377/12

= [tex]-31 \frac{5}{12}[/tex]

Therefore, the final elevation of the AUV is [tex]-31 \frac{5}{12}[/tex] feet.

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Answer:

The selling price is:  [tex]\$77,520[/tex]

Step-by-step explanation:

Step 1: Identify the profit made

A profit of 14% is made on the article.

This means that the article was sold at a price that had 14% of its original price added to it.

The 14% of the original price is:

[tex]14\% \times 68000\\=\frac{14}{100}\times 68000\\\\\text{Calculate the value}\\\frac{14}{100}\times 68000\\=9520[/tex]

So, a profit of $9520 was made

Step 2: Calculate the selling price

The selling price will be the sum of the original price and the profit.

The selling price is:

[tex]68000+9520\\=77520[/tex]

Answer:

i d k 20???????????

Step-by-step explanation:

Answer:

The visitor attended no special exhibits and so paid a total of $10 just to get in.

An equation to represent the cost of admission could look like this:

f(x) is the total cost.

x is the number of special exhibits attended.

f(x) = 2x + 10

If I see no special exhibits on my visit,

x = 0, then

f(0) = 2•0 + 10

f(0) = 10

I only pay $10.

ANSWER

EXPLANATION

The given translation

This means the shape will be translated 3units to the right and 2 units up.

That is;

The correct inequality to solve for x will be;

⇒ $20.03x + $125.99 < $200.00

Where, 'x' is the number of shirts.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Lisa buy new clothes for spring under $200.00

She spent $125.88 for buying some shirts that has each cost $20.80.

Let the number of shirts = x

Then, We can formulate for the given condition is;

The inequality for solution of the value of x is,

⇒ $20.03x + $125.99 < $200.00

Because we can solve for x, which is the number of shirts Lisa can buy with the money she has left.

Therefore,

The correct inequality to solve for x will be;

⇒ $20.03x + $125.99 < $200.00

Where, 'x' is the number of shirts.

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Using the normal distribution, the 98th percentile of the distribution of scores is of 2084.

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

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

The mean of the scores is given as follows:

[tex]\mu = 1468´[/tex]

The 20th percentile is of 1216, meaning that when X = 1216, Z = -0.84, hence the standard deviation is calculated as follows:

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

[tex]-0.84 = \frac{1216 - 1468}{\sigma}[/tex]

[tex]0.84\sigma = 252[/tex]

[tex]\sigma = \frac{252}{0.84}[/tex]

[tex]\sigma = 300[/tex]

The 98th percentile is X when Z = 2.054, hence it is calculated as follows:

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

2.054 = (X - 1468)/300

X - 1468 = 300 x 2.054

X = 2084.

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This is given point in the fourth quadrant.

In this point, the adjacent is

The opposite is y.

Find hypotenuse h using the pythagorean theorem:

is equal to hypotenuse by adjacent.

is equal to adjacent by opposite.

In the fourth quadrant,

is positive , and

is negative.

So,

Answer:

Rhombus:  All sides congruent, two pairs of parallel sides

Parallelogram: Two pairs of parallel lines

Rectangle: 4 right angles, Two pairs of parallel sides

Step-by-step explanation:

Given:

Let x be the cost of the Buffalo Bills jersey.

Let y be the cost of the Miami Dolphin jersey.

According to the question, we have

9x+3y=899.40.......(1)

12x+2y=1139.30.....(2)

From (1),

Substitute equation (3) in equation (2), we get

Then the value of y is,

Hence, the cost of the Buffalo Bills jersey is $89.95, and the cost of the Miami Dolphin jersey is $29.95.

Answer:

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

You're very welcome my sir or ma'am

There is a profit made by the Mia in that particular month of the amount $350.

For the given question,

The table is given for the revenue and expenses made by Mia.

The total revenue made by Mia in that particular month is $9,550.

The total fixed expenses are $9,000.

The variable expense is $200.

Thus, the difference in the expense is-

Difference = Revenue - fixed expense - variable expense

Difference = $9,550 - $9,000 - $200.

Difference = $350

As, the difference is positive there is profit made by Mia.

Thus, there is a profit made by the Mia in that particular month of the amount $350.

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A computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.

As given in the question,

As per condition:

Computer rendered 540 thousands pixels of a kitchen scene and renders another 90kpx each minute:

The expression for the kitchen is illustrated as 540 + 90t

Computer rendered 960kpx of a garden scene and renders 60kpx more pixels each minute

The expression for the garden is illustrated as 960 + 60t

For the scenes have the same amounts rendered is given by :

540 + 90t = 960 + 60t

Collect like terms

90t - 60t = 960 - 540

⇒30t = 420

⇒t = 420/30

⇒t = 14

Therefore, a computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.

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The equivalent expression of the perimeter in two terms is 44 + 4x

From the question, the area of the garden is given as

A = 15(2x + 7)

The area of a rectangle is calculated using

A = LW

Where

Length = L

Width = W

This means that

L = 15

W = 2x + 7

The perimeter of the rectangular garden is then calculated as

P = 2 * (L + W)

So, we have

P = 2 * (15 + 2x + 7)

Evaluate

P = 2 * (22 + 2x)

This gives

P = 44 + 4x

Hence, the perimeter is 44 + 4x

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Complete question

Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x). A. Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Shawn's garden.

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7).

Multiplication is not possible with so similar variables in the denominator, in the given fractions and hence the answer is incorrect.

So, -4y × 1/5y:

Theefore, multiplication is not possible with so similar variables in the denominator, in the given fractions and hence the answer is incorrect.

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After solving the equation x^2-2x-7=0, values of x are -1 + 2√2 and

-1 - 2√2.

A quadratic equation has a leading coefficient of the second degree.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.  

After applying the quadratic formula to it we get,

[tex]x = \frac{-b +\sqrt{b^{2} - 4ac } }{2a} \\ x = \frac{-b -\sqrt{b^{2} - 4ac } }{2a}[/tex]

where a = 1

b = 2

c = -7

After putting the values of a,b, and c, we get

x = -1 + 2√2 and,

x = -1 - 2√2 .

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Answer:

[tex]x = 30[/tex]

Step-by-step explanation:

In the diagram above, MN is a straight line which equals 180.

RL is vertically opposite to KS

(Vertically opposite angles are equal ⟹RL = KS).

So, MN becomes:

[tex]90 + 2x + 30 = 180[/tex]

Collect like terms

[tex]90 + 30 + 2x = 180→120 + 2x = 180→2x = 180 - 120→2x = 60[/tex]

Divide 2x = 60 by 2

[tex]x = \frac{60}{2} [/tex]

Therefore: [tex]x = 30[/tex]

The approximate probability that between 70 and 90 is 0.728.

Using normal distribution,

Mean = xbar = np = 400 × 0.2 = 80

Standard deviation = √[np(1-p)] = √(80 × 0.8) = 8

To ensure that the distribution is normal,

np ≥ 10

80 ≥ 10

And,

np(1-p) ≥ 10

80(0.8) = 320 ≥ 10

Hence, we use the z-tables for this

a) Convert 75 and 100 into standardized scores.

A value's standardized score is equal to the value minus the mean divided by the standard deviation.

z = (x - xbar) ÷ σ

For 75

z = (75 - 80) ÷ 8 = - 0.625

For 100

z = (100 - 80) ÷ 8 = 2.5

To calculate the approximate likelihood that between 75 and 100 (inclusive) mufflers will be replaced under warranty.

P(75 ≤ x ≤ 100) = P(-0.625 ≤ z ≤ 2.5)

For these probabilities, use data from the normal probability table.

P(75 ≤ x ≤ 100)

= P(-0.625 ≤ z ≤ 2.5)

= P(z ≤ 2.5) - P(z ≤ -0.625)

= 0.994 - 0.266

= 0.728

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EXPLANATION

The area of the figure can be obtained by applying the following relationship:

Where b=base and height=h

In order to find the height, we need to apply the trigonometric relationship:

Multiplying both sides by 6.4:

Solving the argument:

Switching sides:

Now that we have the height, we can compute the area as follows:

The answer is 53.24 squared inches.

Angle ZWY has a measure of 13 degrees.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. a geometric shape made up of two lines that meet at the same point or two planes that meet at the same line. the distance in degrees between such lines or planes.

Given,

Angle WXY has a measure of 133 degrees

Angle ZYX has a measure of 34 degrees

Angle ZWY:

= 180 - 133 -34

= 13

Angle ZWY has a measure of 13 degrees.

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The degree of a monomial is the power of the variable in the monomial

The degree of a monomial is defined as the highest power of the variable term in the monomial

As a general rule, a monomial has only one term

An instance of a monomial is

ax^n

Using the definition above, the degree of the monomial is n

Simlarly, the degree of x^2 is 2

This is because 2 is the power of the variable term

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The people of the Plymouth Colony fail to achieve the ideals of the Mayflower Compact as A. They did not come together to create a government.

The Mayflower Compact was the Plymouth colony's first government instrument. The Pilgrim Fathers, the emigrants who crossed the Atlantic on the Mayflower in search of religious freedom, wrote the manifesto. On November 11, 1620, it was signed on the sands of what is now Provincetown, near Cape Cod. The pilgrims knew they were in a land unfamiliar to the London Company when the Mayflower docked in Plymouth.

The strangers claimed that the Virginia Company contract was null and void. They believed that because the Mayflower landed outside of Virginia Company territory, they were no longer bound by the charter of the company. Because there was no official government over them, the stubborn strangers refused to acknowledge any regulations.

Many of the pilgrims were already weak from disease and a lack of food when they arrived in Plymouth. The journey had been lengthy, and they were running low on supplies. During the winter, the colony lost about half of its population owing to disease and famine.

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Answer:its A i did it on edge

Step-by-step explanation:

Answer:

  x = 3⁴

Step-by-step explanation:

You want the exponential form of log₃(x) = 4.

It can be helpful to remember that a logarithm is an exponent of the base of the logarithm.

  log₃(x) = 4   ⇔   x = 3⁴

The exponential form is x = 3⁴.

Answer:

Step-by-step explanation:

13.

m1 is 120 because angle 120 and angle 1 are tranversal angle

So now we know that angles m1 and m2 are vertically opposite angle

Then m2 = 120

m1 = 120

m2 = 120

14.

angle 1 and 105 have the sum of 180 because they are Interior angles on the same side of the transversal

So angle 1 equals 180-105=75

angle 2 and angle 1 are on a line so the sum of the 2 angles are 180

So: 180 - 75 = 105

m1 = 105

m2 = 75

it's 27/8 .........................