Trigonometry question

Answer:

Let the dryer cost x.

Then, the washer costs (x+87)

Together, they cost  (x) + (x+87) = 787

        2x+87 = 787

           2x = 700           [subtract 97 from both sides]

            x = 350             [divide both sides by 2]

The dryer cost $350.

Check:   The washer cost $437.  Together, they cost $787  [good to check, right?]

Hope this helps...

Answer:

474

Step-by-step explanation:

Always remeber less then means subtract ok

Answer:

6

Step-by-step explanation:

because the equation above says p+p+p+p+p+p+5+1+1

so if we add up the p's it will give us 6p and if we add up the nos it will give us 6p+7

Answer:

1/2( x+16)

Step-by-step explanation:

1/2x + 8

Factor out 1/2

1/2*x + 1/2 *16

1/2( x+16)

Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

Answer: 120

Step-by-step explanation: When 50 is divided by half, which is 100, and added 20 to it, it is 120

Answer:

45

step by step explaination:

Think about what same 2 numbers that, when added together make fifty. 25! so when you divide 50 by half, if equals 25. Then, add 25+20 to equal 45 :)

The value of x based on the information about the triangle is 3.

It should be noted that the total sum of angles in a triangle is 180°. Based on the information given, this will be illustrated as:

180 - (180 - 140) - (180 - 99)

= 180 - 40 - 81

= 59

Therefore, 41x - 2 + 59 = 180

41x = 180 + 2 - 59

41x = 123

Divide

x = 123 / 41.

x = 3.

The value of x is 3.

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9 stduents

1/4 of 12 is 3

12-3=9

Find the x and y-intercepts of the equation. Then calculate the points at constant intervals and plot and connect those points on a makeshift graph. A quadratic equation can have 2 solutions, 1 solution, or none. The corresponding graphs(if two solutions) would most probably cross over the x-axis twice.

Hope this helps.

Answer:

  B.  quadratic

Step-by-step explanation:

You want to know the kind of function that would best fit the points shown on the graph.

The points on the graph demonstrate a slope that starts out positive and decreases through 0 to a slope with a negative value.

A linear function has a constant slope.

An exponential function has a continuously increasing or continuously decreasing slope.

A quadratic function has a slope that changes sign, matching the slope of the curve joining the given points.

The equation that best fits the given data will be quadratic.

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Answer:

The value of x is 19.

Step-by-step explanation:

Given:

m∠1 = (4x + 9)°

m∠2 = (x - 14)°

Since m∠1 and m∠2 are complementary angles, we have:

m∠1 + m∠2 = 90°

Substituting the given expressions for m∠1 and m∠2:

(4x + 9)° + (x - 14)° = 90°

Combining like terms:

4x + 9 + x - 14 = 90

Combining the x terms and the constant terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 90 + 5

Simplifying:

5x = 95

Dividing both sides by 5:

x = 95 / 5

Simplifying further:

x = 19

The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.

It follows that the magnitude of a vector in terms of its components in the i and j direction is;

M = √(x² + y²).

On this note, since the i and j components are equal; x = y and hence, we have;

3 = √(x² + x²).

3² = 2x²

x² = 9/2

x = 3/√2

x = 3√2/2

On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.

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Answer:

GMM,pooled OLC,even cross country OLC are most variables not difficult panel data analysis

Answer:

4(x-2 +y) = 4x-8+4y

Step-by-step explanation:

You have to apply the distributive law

4(x-2+y) = 4x + 4 (-2) + 4y

Then solve it which equals

4 x +4 (-2) + 4y

Then multiply the numbers

4 (-2) = -8

Which gets you 4x-8+4y

Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

Answer:

y=8

Step-by-step explanation:

All horizontals lines are going to be equations of y=y

(6,8)

(x,y)

y=8

the solution of number line is all the options are correct.

A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.

Here,

Kendra and Jamal are standing in line. The number line shows their positions in meters with positive numbers representing positions to the right.

The position of Kendra is -6 and Jamal is 0.

Kendra is 6 meters left of Jamal.

Kendra and Jamal are 1-6 meters apart.

Jamal is 6 meters right of Kendra.

Hence, all the options are correct.

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Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

(a) x=45°

(b) If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.

Step-by-step explanation:

(a)

Angles in a quadrilateral add to 360:

<A+<B+<C+<D=360

2x+90+x+3x=360

6x=270

x=45°

(b)

If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.

Answer:  Step-by-step explanation:

3x+2x+x=360-90

6x=270

x=45

∠DAB=2x=90° and ∠ABC=90° ⇒ AD║BC

Answer:

i think the answer is a to be honest

Step-by-step explanation:

The correct answer is: χ2 = 2.48, P-value is between 0.10 and 0.15.

First, let's calculate the expected frequencies for each political party affiliation in the sample:

Expected frequency for Democrats: 0.42 x 500 = 210

Expected frequency for Republicans: 0.34 x 500 = 170

Expected frequency for Independents: 0.24 x 500 = 120

Next, we can set up the chi-square test:

χ² = Σ((O - E)² / E)

Where:

O = observed frequency

E = expected frequency

Let's calculate the chi-square test statistic:

χ² = ((200-210)² / 210) + ((187-170)² / 170) + ((113-120)² / 120)

Calculating the above expression gives us:

χ² = (10² / 210) + (17² / 170) + (7² / 120)

χ^2 = 100/210 + 289/170 + 49/120

χ^2 ≈ 0.476 + 1.700 + 0.408

χ^2 ≈ 2.584

The calculated chi-square test statistic is 2.584.

Since we have 3 political party affiliations, the degrees of freedom would be 3 - 1 = 2.

Looking at the chi-square distribution table with 2 degrees of freedom, we find that the P-value for a chi-square test statistic of 2.584 is between 0.10 and 0.15.

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The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302

Given data ,

Let the missing number be represented as n

Now , the value of the original number is A = 7,01,69,30*​

where * represents = n

To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.

On simplifying the equation , we get

To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8

Hence , the number that is divisible by 11 is 7,01,69,302

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The percent increase in population from 264,000 to 271,920 is approximately 3%. This means that the population increased by 3% over the given time period.

To find the percent increase in population, we need to calculate the difference between the final population and the initial population, and then express that difference as a percentage of the initial population.

Given:

Initial population (P₁) = 264,000

Final population (P₂) = 271,920

To calculate the difference, we subtract the initial population from the final population:

Difference = P₂ - P₁ =\(271,920 - 264,000 = 7,920\)

To find the percent increase, we divide the difference by the initial population, then multiply by 100 to express it as a percentage:

Percent Increase = (Difference / P₁) * 100

Substituting the values:

Percent Increase =\((7,920 / 264,000) * 100\)

Calculating:

Percent Increase ≈ \(0.03 * 100\)

Percent Increase ≈ 3%

The percent increase in population from 264,000 to 271,920 is approximately 3%.

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The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

Answer:

39.5

Step-by-step explanation:

Once we make the product we get:

in this expression the constant term is 4, therefore the expression has one constant term.