I am not smart enough in this category for this, Can someone please help me?

Answer:

x = 5

Step-by-step explanation:

Looking at the ratios of height to base:

Smaller triangle   3x + 1 : 12

Larger triangle   4x : 3 + 12  =  4x : 15

Therefore as triangles are similar:

3x + 1 : 12  =  4x : 15

Write as fractions:

⇒ \(\dfrac{3x+1}{12}=\dfrac{4x}{15}\)

Cross multiply and solve for x:

⇒ 15(3x + 1) = 12 · 4x

⇒ 45x + 15 = 48x

⇒ 15 = 3x

⇒ x = 5

Ratio remains same

\(\\ \tt\Rrightarrow \dfrac{3+12}{4x}=\dfrac{12}{3x+1}\)

\(\\ \tt\Rrightarrow \dfrac{15}{4x}=\dfrac{12}{3x+1}\)

\(\\ \tt\Rrightarrow 15(3x+1)=12(4x)\)

\(\\ \tt\Rrightarrow 45x+15=48x\)

\(\\ \tt\Rrightarrow 3x=15\)

\(\\ \tt\Rrightarrow x=5\)

-2, 1, 4, and 6 are the x-intercepts of the function f(x).

To find the x-intercepts of the function f(x) = (x+2)(x-1)(x-4)(x-6), we need to set f(x) equal to zero and solve for x:

(x+2)(x-1)(x-4)(x-6) = 0

The product of four factors is equal to zero if and only if at least one of the factors is equal to zero. Therefore, we can set each factor equal to zero and solve for x to find the x-intercepts:

x+2 = 0, x-1 = 0, x-4 = 0, x-6 = 0

Solving each equation, we get:

x = -2, x = 1, x = 4, x = 6

Therefore, the x-intercepts of the function f(x) are -2, 1, 4, and 6.

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The economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

To find the economic order quantity (EOQ), we can use the following formula:

EOQ = sqrt((2 * Annual Demand * Fixed Ordering Cost) / Carrying Cost per Unit)

Given information:

Annual Demand = 3,000 units

Fixed Ordering Cost = $30

Carrying Cost per Unit = $1.43

Substituting the values into the formula:

EOQ = sqrt((2 * 3,000 * 30) / 1.43)

EOQ = sqrt(180,000 / 1.43)

EOQ = sqrt(125,874.125)

EOQ ≈ 354.91

Rounding the EOQ to the nearest whole number, we get:

EOQ ≈ 355 units

Therefore, the economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

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A Ones measured above sea level which is Mount Belinda 1,370 meters above the other one is South Sandwich Trench 8,428 meters below sea level.

B Below sea level because you subtract the above sea level by below sea level you still end up with below sea level.

C 3,529 kilometers below sea level how i did this i subtracted 8,428 by 1,370 and 7,058 than divided that by 2 to get to the center of both

The correct option regarding the scale factor and the statement in this problem is given as follows:

D. The statement is false. Because there are 3 feet in one​ yard, there are 9 square feet in one square yard.

The scale factor between the length dimensions of the yard are given as follows:

3 feet = 1 yard.

(as these length dimensions are given in yards).

Then for the square units, the correct scale factor is found applying the proportion as follows:

(3 feet)² = (1 yard)².

9 feet squared = 1 square yard.

Hence the statement given in this problem, that because there are 3 feet in one​ yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.

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Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

0.1(x - 100)² + 250

0.1[(x - 100)(x - 100)] + 250

0.1(x² -200x + 10000) + 250

0.1x² - 20x + 1000 + 250

0.1x² - 20x + 1250

0.1x² - 25x + 5x + 1250

0.1x(x - 250) + 5(x + 250)

∴ (0.1x + 5)(x - 250) or (0.1x + 5)(x + 250)

Answer: On the first day, Shelly rode 10 miles on first day.

On the second day, Shelly rode 8 miles.

On the third day, Shelly rode 12 miles.

Step-by-step explanation:

Let x = distance rod eon first day.

Shelly rode her bike a total of 30 miles over a three-day period.

Then as per given,

Distance rode on second day = \(\dfrac45x\)

Distance rode on third day \(=\dfrac32\times\text{ Distance rode on second day}\)

\(=\dfrac32\times\dfrac45x=\dfrac{6}{5}x\)

Total distance rode = \(x+\dfrac45 x+\dfrac65x=30\)

\(\Rightarrow\ \dfrac{5x+4x+6x}{5}=30\\\\\Rightarrow\ \dfrac{15x}{5}=30\\\\\Rightarrow\ 3x=30\\\\\Rightarrow\ x=\dfrac{30}{3}\\\\\Rightarrow\ x=10\)

Hence, She rode 10 miles on first day.

Distance rode on second day = \(\dfrac45\times10=4\times2=8\text{ miles}\)

Distance rode on third day \(=\dfrac{3}{2}\times8=3\times4=12\text{ miles}\)

A linear equation is used to prove the mathematical result that two linear expressions, or a linear expression and a constant, are not equivalent.

The mathematical assertion that two linear expressions, or a linear expression and a constant, are not equal is made via a linear equation.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

A mathematical equation must take the form y=mx+b in order to be classified as a linear function (in which m is the slope and b is the y-intercept).

Therefore, a linear equation is used to prove the mathematical result that two linear expressions, or a linear expression and a constant, are not equivalent.

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The cost of a new home, built of standard materials, with standard techniques and design replacement cost and reproduction cost may be the same.

When analyzing the cost of a new home built with standard materials, techniques, and design, the relationship between replacement cost and reproduction cost may vary. Option 4) Replacement cost and reproduction cost may be the same, is the most accurate statement.

Replacement cost refers to the amount required to replace or rebuild a property, while reproduction cost refers to the cost of constructing an exact replica of the original property. These costs can be the same in some cases, but factors such as market conditions, construction costs, and availability of materials can affect the costs differently. Cost and value are not always the same, as value considers factors such as location, demand, and economic conditions.

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The variance of the error term is equal to the expected value of the squared error term, which is equal to the variance of Xi.

The asymptotic distribution of the coefficient β from bivariate OLS is given by √N(β – β) + d(0,σ2), where σ2 is the variance of the error term and is given by Var((Xi - E[X])) / Var(xi)2. If the error term is homoskedastic, then the variance of the error term does not depend on the value of Xi and is constant for all values of Xi. This implies that the variance of Y given X and r does not depend on r, as shown below:

Var(Y|X, r) = Var(βX + ε|X, r) = Var(ε|X, r) = σ2

Since the variance of the error term is constant and does not depend on the value of X or r, the variance of Y given X and r is also constant and does not depend on r.

If Yi is earnings and Xi is an indicator for whether someone has gone to college, homoskedasticity would imply that the variance of earnings for college and non-college workers is the same. This is unlikely to hold in practice, as there are likely to be other factors that affect earnings, such as occupation, experience, and location, that may differ between college and non-college workers and lead to different variances in earnings.

If the error term is homoskedastic and E[εi|Xi] = 0, then the variance of the error term is equal to the variance of Xi, as shown below:

Var(εi) = E[εi2] - (E[εi])2 = E[εi2] = E[(Xi - E[Xi])2] = Var(Xi)

This is because the error term is uncorrelated with Xi and has a mean of zero

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Step-by-step explanation:

.7071 is the value to convert peak to RMS

Answer:

-1

Step-by-step explanation:

Take the two points

(-2,4) and (4,-2)

And we can find the  slope

m = (y2-y1)/(x2-x1)

   = (-2-4)/( 4 - -2)

   =(-2-4)/(4+2)

   = -6/6

   = -1

These probabilities may be given in the problem statement or may need to be estimated based on past data or assumptions. Once we have these probabilities, we can use the multiplication rule to calculate the joint probability.

To find the probability that the next driver will use entrance 1 and park for more than two hours, we can use the multiplication rule of probability.

The multiplication rule states that the probability of two independent events occurring together is the product of their individual probabilities. In this case, the two events are:

The driver uses entrance 1

The driver parks for more than two hours

Let P(E1) be the probability that the next driver uses entrance 1, and let P(MT2) be the probability that the next driver parks for more than two hours.

Then, the probability that both events occur together is given by:

P(E1 and MT2) = P(E1) × P(MT2)

So, to find the probability that the next driver will use entrance 1 and park for more than two hours, we need to know the individual probabilities of these events.

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Answer:

3 meters

Step-by-step explanation:

Step 1: State what is known

Volume of cube is 27 cubic meters

Important formula: Volume of cube = \(l^{3}\)

Step 2: Input value into formula and solve for "l"

\(27=t^{3} \\\sqrt[3]27}=\sqrt[3]{t^{3} } \\3 = t\)

Therefore the length of 1 edge of the cube is  meters

Length of each edge of cube is 3 metres.

What is the volume of cube?

The volume of a cube defines the number of cubic units, occupied by the cube completely. The volume of cube is found by multiplying the value of the edge with itself three times that is a³.

It is given that volume of cube is 27 cubic metres.

a³ = 27

a = ∛27

a = 3

Hence, length of each side of cube is 3 metres.

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The Perpetuity formula is used to calculate the Present Value (PV) of an infinite series of cash flows at a 6% rate of return. PV = $2,000 / 6% = $33,333.33, so, option C is the correct answer.

The question requires that we calculate the Present Value (PV) of the infinite series of cash flows at a 6% rate of return. The formula to use in solving this problem is the Perpetuity formula. P = C / r

Where, P = Present Value (PV)

C = Cash flow (which in this case is $2,000) each period

r = discount rate, which is 6% in this case.

Substituting the figures, we have; PV = $2,000 / 6% = $33,333.33

The present value of the infinite series of cash flows is $33,333.33

. Therefore, option C is the correct answer.

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For the three red lights, we have a "9 sockets choose 3" option. In those 9C3 methods. The solution is 1260 (9C3) (6C4)(2C2).

For the three red lights, we have a "9 sockets choose 3" option. In those 9C3 methods.

There are now just 6 open sockets after the 3 red bulbs have been installed.

Put three red bulbs in the first three sockets.

None = 9C3

There are 4 yellow bulbs in 4 sockets.

Way count is 6C4

Two sockets hold two blue bulbs.

Number of ways = 2C2

For the four yellow lights, we have a choice of "6 sockets, choose 4" 6C4 in that manner.

There are just 2 open sockets left once the 4 red lights are screwed in.

The blue lights are available in "2 sockets pick 2." Consequently, (2C2) = 1 way.

Once those two bulbs were screwed in, a bulb was present in each socket.

Total number of methods is 84 * 15 * 1 or 9C3 * 6C4 * 2C2.

1260 different ways in total.

So, there are 1260 total ways.

The solution is 1260 (9C3) (6C4)(2C2).

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Answer:

500 miles

Step-by-step explanation:

81-11 is 70. 70 divided by .14 is 500 so that's 500 miles she can bike.

Answer:

500 miles

Step-by-step explanation:

To find out how many miles Candice can hike at max, use the equation 11 + 0.14x = 81.

11 + 0.14x = 81

Subtract 11 from both sides. This undoes the +11.

0.14x = 81 - 11

Subtract 11 from 81 to get 70.

0.14x = 70

Divide both sides by 0.14. This undoes the multiplication by 0.14.

x = 70/0.14

I recommend converting 0.14 into a fraction. That would be 7/50.

x = 70/(7/50)

Find the reciprocal of 7/50 (50/7). Switch the sign from division to multiplication.

x = (70 * 50)/7

Multiply 70 by 50 to get 3500.

x = 3500/7

Divide 3500 by 7 to get 500.

x = 500

At max, Candice can hike 500 miles.

From the hypothesis test, it is found that the p-value of the test is of 0.6634

At the null hypothesis, we test if the mean is still the same, that is, of 10.2 hours per week, thus:

H₀ : μ = 10.2

At the alternative hypothesis, we test if the mean has increased, that is, if it is greater than 10.2 hours per week, thus:

H₀ :  μ > 10.2

Ten students were surveyed, so there are 9 degree of freedom. The test statistic is t = 0.45, and it is a one-tailed test, as we are testing if the mean is greater than a value.

Thus, using a t-distribution calculator, the p-value of the test is of 0.6634

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Answer:

  15. 80 benches

  16. 45 cost units

Step-by-step explanation:

The two problems together are asking you to find the coordinates of the vertex of the cost function. To do this you can use the procedure for writing a quadratic in vertex form.

  C(x) = 0.1x^2 -16x +685

  = 0.1(x^2 -160x) +685 . . . . . . factor out the leading coefficient

  = 0.1(x^2 -160x +6400) +685 -(0.1)(6400) . . . add and subtract 0.1(6400)

  C(x) = 0.1(x -80)² +45 . . . cost function in vertex form

__

The number of benches that minimizes the cost function is the x-coordinate of the vertex. That is the value that makes the square equal to zero.

  x = 80 . . . benches

__

The minimum value of the cost function is the value obtained when the squared term is zero:

  C(80) = 0.1(80 -80)² +45

  C(80) = 45

The minimum cost per bench is 45. (The problem statement gives no units for cost. It could be pesos, or millions of rubles. We can't tell.)

_____

Additional comment

The square of a binomial is ...

  (x +a)² = x² +2ax +a²

You will notice that the constant (a²) is the square of half the x-coefficient. To "complete the square", we put the equation in a form where we have (x² +2ax) in parentheses. Then we divide the x-coefficient by 2, and add its square inside parentheses: (x² +2ax +a²) and rewrite to the form of a square: (x +a)².

In order to keep the expression the same, we must subtract the same quantity elsewhere in the equation. Outside parentheses, it must be multiplied by the coefficient in front of the parentheses. In the above, we added (0.1)(6400) and subtracted (0.1)(6400) so that we could rearrange the cost function to vertex form: a(x -h)² +k has vertex (h, k).

__

We find a graphing calculator to be an extremely handy tool for dealing with polynomial functions. The attached shows the graph of the cost function. The calculator marks the vertex for us. Since it is a plot of cost versus number of benches, the units of the vertex are (benches, cost units).

Answer:

41

Step-by-step explanation:

Hey There!

So to solve this problem the first thing that we want to do is solve for x

angle P and angle S are supplementary angles meaning that they will add up to equal 180

so 180=8x+3+2x+7

step 1 combine like terms

8x+2x=10x

3+7=10

now we have

180=10x+10

step 2 subtract each side by 10

180-10=170

10-10 cancels out

now we have

170=10x

step 3 divide each side by 10

10/10 cancels out

170/10=17

so x=17

So remember in parallelograms opposite angles are congruent so angle Q is congruent with angle S

so we just plug in 17 into 2x+7 and we will get the value of angle Q

17x2=34

34+7=41

so angle Q = 41

Answer:

197/49-2x

Step-by-step explanation:

Answer:

$6.8

Step-by-step explanation:

5+10+2+7+10=34

34/5=6.8

Two different ways we can measure exactly 1 Liter are:

Use of the 500 mL cup two times

Use the 300 mL cup 3 times in total and the 100 mL cup once

This question we want to know the different combination of the given cups that can lead to us getting a volume of 1 liter.

Now, we know that

1 L = 1000 mL

This means that we can make use of the 500 mL cup two times in total to get:

500 mL + 500 mL= 1000 mL = 1 L

Another way we can do the 1 liter is that we can use the 300 mL cup 3 times in total and the 100 mL cup once to get:

300 mL + 300 mL + 300 mL + 100 mL = 1000 mL = 1 L

Other ways are:

- use of the 500 mL cup two timese the 100 mL cup

- Take 10 times the 100-mL cup

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Complete question is:

Suppose you have a 100-mL cup,a 300-mL cup, and a 500-mL cup. list two different ways you can measure exactly 1 L

Answer:

The percent of the increase for the money the class raised is 10 %

Step-by-step explanation:

Because if you divide 1500 by 10 you get 150 that means 150 is 10 % of 1500 and if you add 150 to 1500 you get 1650 so the increase of money the class raised is 10 %

I hope this helped :)

Answer:

x^2 - 12x = -27

Step-by-step explanation:

Here, we want to isolate the constant for the polynomial

To do this, we start by setting the expression to zero

Afterwards, we can bring the constant term over the equal to sign, giving a change in sign value

Mathematically, we have this as;

x^2 - 12x + 27 = 0

x^2 - 12x = -27

The sum of function is a way of adding two or more functions together

The values of x for which f(g(x)) = 0 are -2/3 and -1/3

The sum of function is a way of adding two or more functions together

Given the following functions

f(x) = x² - 2x

g(x) = 6x + 4

f(g(x) = f(6x +4))

f(6x+4) = (6x+4)² - 2(6x+4)
(6x+4)² - 2(6x+4) = 0
(6x+4) = 0 and 6x+4-2 = 0
x = -2/3 and -1/3

Hence the values of x for which f(g(x)) = 0 are -2/3 and -1/3

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25 5-ounce-glasses of milk can be poured out from a gallon of milk and 3/5 ounces of milk will be left over

Assuming

1 gallon 4 quarts

1 quart 2 pints

1 pint 2 cups

1 cup = 8 fluid ounces

if 1 quart 2 pints, then 4 quarts will be

= 4 * 2 = 8 pints

if 1 pint 2 cups, then 8 pints will be

= 8 * 2 = 16 cups

if 1 cup is 8 fluid ounces, then 16 pints will be

= 8 * 16 = 128 fluid ounces

solving the amount of 5 ounce glasses of milk in a ballon

= 128 / 5

= 25.6

= 25 3/5

Hence we can say that a gallon of milk will give 25 5-ounce-glasses of milk and 3/5 ounces of milk left over

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Answer:1 gallon 4 quarts

1 quart 2 pints

1 pint 2 cups

1 cup = 8 fluid ounces

if 1 quart 2 pints, then 4 quarts will be

= 4 * 2 = 8 pints

if 1 pint 2 cups, then 8 pints will be

= 8 * 2 = 16 cups

if 1 cup is 8 fluid ounces, then 16 pints will be

= 8 * 16 = 128 fluid ounces

solving the amount of 5 ounce glasses of milk in a ballon

= 128 / 5

= 25.6

= 25 3/5

Hence we can say that a gallon of milk will give 25 5-ounce-glasses of milk and 3/5 ounces of milk left over

Step-by-step explanation:

Answer:

4 3/8

Step-by-step explanation:

brainliest pls?

Answer:

C or the third one

Step-by-step explanation: