Find the value of x:
(2x + 20)° 96°

Answer: 9 s

Step-by-step explanation:

Given:

h(t) = -16t² + 144t

Find:

time when h=0    They want to know when the rocket hits the ground.  This happens when h=0

Solution:

0 = -16t² + 144t                     >Take out Greatest Common Factor

0 = (-16t )(t - 9)                      >Set each parenthesis = 0

(-16t ) = 0   and    (t - 9)=0           >Solve for t

t = 0          and      t =  9              >When the rocket launches t=0 and h=0

                                                      Also,    t=9 when h=0

t=9 s

Answer:

9.76 meters

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

If 1 m = 3.28 ft, we can find out how many meters are in 32 feet by using this equation:

Rounding to the nearest hundredth:

Therefore, rounded to the nearest hundredth, there are 9.76 meters in 32 feet.

Answer:

The difference between the area of the original triangle and the area of the new triangle is \(\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)\).

Step-by-step explanation:

The equation for the area of a triangle (\(A_{\bigtriangleup}\)) is:

\(A_{\bigtriangleup} = \frac{1}{2}\cdot b \cdot h\)

Where:

\(b\) - Base, dimensionless.

\(h\) - Height, dimensionless.

The expression for each triangle are described below:

First Triangle (\(b = 3\cdot x + 7\), \(h = 5\cdot x - 1\))

\(A_{\bigtriangleup,1} = \frac{1}{2}\cdot (3\cdot x+7)\cdot (5\cdot x -1)\)

Second Triangle (\(b = 3\cdot (3\cdot x+7)\), \(h = 2\cdot (5\cdot x -1)\))

\(A_{\bigtriangleup,2} = 3\cdot (3\cdot x+7)\cdot (5\cdot x -1)\)

The difference between the area of the original triangle and the area of the new triangle is:

\(\Delta A_{\bigtriangleup} = A_{\bigtriangleup,2}-A_{\bigtriangleup,1}\)

\(\Delta A_{\bigtriangleup} = 3\cdot (3\cdot x+7)\cdot (5\cdot x-1)-\frac{1}{2} \cdot (3\cdot x+7)\cdot (5\cdot x-1)\)

\(\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)\)

The difference between the area of the original triangle and the area of the new triangle is \(\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)\).

Answer:

y/5 + 2/5=x

Step-by-step explanation:

cause u divide 5 by everything and then one 2 come over to the other side it becomes positive

Answer:

1.79 of cold drink

Answer:

0.05

Step-by-step explanation:

0.92 - 0.87 is 0.05.

sorry, i'm not the best at explaining things. i just kept it simple:)

Define Inequalities?

Inequality is a conditional relation that compares two numbers or expressions in a way that is not equal. Commonly, it is used to contrast the relative sizes of two numbers on a number line.

From the given information, the values that make the inequality v < 1 are those values that if replaced with v must be less than 1 on the number line.

On the number line, we have the negative numbers on the positive x-axis to the right and they are bigger than the positive numbers to the left, and this is immediately apparent when looking at a number line.

The values of these numbers that satisfies the inequality for which v < 1 are 0.9999 , -5 , -4 , 0.9

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This is the same as writing \(972\pi\)

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

Work Shown:

\(V = \frac{4}{3}*\pi*r^3\\\\V = \frac{4}{3}*\pi*9^3\\\\V = \frac{4}{3}*\pi*729\\\\V = \frac{4}{3}*729*\pi\\\\V = 972\pi\\\\\)

Answer:

- 2 ≤ x ≤ 0

Step-by-step explanation:

The constant part of the graph is the section between (- 2, 1 ) and (0, 1 )

where the graph is horizontal and parallel to the x- axis, that is the y value is constant at 1

Answer:

136 square millimeters

Step-by-step explanation:

Answer:

it will take about 14.3 years

In the year 2006, the number of free throws is 100, number of 2 point field goals 128 and the number of 3 point field goals 90.

Let x = number of free throws

y = number of 2 point field goals

z =  number of 3 point field goals

However given that Rebecca has a total of 806 points,

Thus x + 2y + 3z = 806 ---------- equation 1

Number of 2 point field goals that Rebecca made was 52 less than double the number of​ three-point field goals she made ;

thus y = 2z - 52 ---------------- equation 2

Number of 3 point field goals that Rebecca made was 28 less than the number of​ two-point field goals she made ;

thus x = y - 28 ------------------ equation 3

Thus on solving these three above mentioned equations :

we get x = 2z - 52 -28 [ substituting values in eq 3 from eq 2]

x = 2z - 80 ------------- equation 5

So equation 1 becomes ; 2z - 80 + 2y + 3z = 806

5z + 2y = 886 -------------- equation 4

Thus on solving equation 4 and 2 we get

2 X equation 2 = 4z - 2y = 104

                            5z + 2y = 886

                      = 11 z = 990

thus z = 90 and so y = 4 × 90 - 104 = 2y

y= 360 - 104 / 2

= 256/2 = 128

thus y = 128 .

And x= 2z -80 from equation 5 ; x = 180 - 80 = 100 .

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We can write an equation for the interior angles, and we will see that x = 13

We want to find the value of x, we can see two adjacent angles on a rectangle, then the sum of these two is equal to 180°, we can write:

3x + 78 + x + 50 = 180

4x + 128 = 180

4x = 180 - 128

4x = 52

x = 52/4 = 13

The value of x is 13.

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Answer:

76

Step-by-step explanation:

The median line in the middle of the box is at 76 (the number line is by 2's)

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

Explanation:

The median is the vertical line inside the boxplot. This vertical line is at 76.

The median does not have to be at the exact midpoint of the box, as it could be much closer to one of the edges. All that matters is the median is between Q1 and Q3

Q1 = left edge of the box

Q3 = right edge of the box

The min and max are the tips of the left and right whiskers respectively. This is when there are no outlier island points to either side.

Answer:

kk

Step-by-step explanation:

Answer:

I do

Step-by-step explanation:

:)

Answer:

the answer is D :))) hope you pass this

Answer:

39,005

Step-by-step explanation:

Answer:

25-9

=16

16:8

=2

x=2

Başarılar

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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If A is true, B is false, C is true and D is false, then the truth value of the compound statement (A V B) → [(C ∨ B) ↔~D] is True.

To determine the truth value of the compound statement, follow these steps:

So, the truth value of the compound statement (A V B) → [(C ∨ B) ↔ ~D] when A is true, B is false, C is true, and D is false is True.

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Where the above are given,

(a) MLE of β: (nα + y₁ + y₂ + ... + yn)/n

(b) MLE of E(Y): (nα + y₁ + y₂ + ... + yn)/n

Maximum Likelihood Estimation (MLE) is   a statistical method used to estimate the parameters of a probability distribution by maximizing the likelihood function based on observed data.

(a) The MLE of β can be found by   maximizing the likelihood function. The likelihood function for  a gamma distribution is given by  -

L(β;  y₁, y₂, ..., yn) = (1/β^nαΓ(α))ⁿ * exp(-( y₁ + y₂ + ... + yn)/β)

Taking the logarithm of the likelihood function (log-likelihood) to simplify the calculations  -

log L(β;  y₁, y₂, ..., yn) =   n*log(1/β) + nα*log(β) - n*logΓ(α) - ( y₁ + y₂ + ... + yn)/β

To find the MLE of β, we differentiate the log-likelihood with respect to β, set it equal to zero, and solve for β  -

d/dβ(log L(β;  y₁, y₂, ..., yn)) = -n/β + nα/β² + ( y₁ + y₂ + ... + yn)/β² = 0

Simplifying the equation -

-n/β + nα/β^2 + ( y₁ + y₂ + ... + yn)/β² = 0

Multiplying through by β²

-nβ + nα + ( y₁ + y₂ + ... + yn) = 0

Rearranging  whave

nβ = nα + ( y₁ + y₂ + ... + yn)

Finally, solving for β -

β = (nα +  y₁ + y₂ + ... + yn)/n

Therefore, the MLE of β is (nα +  y₁ + y₂ + ... + yn)/n.

(b) The MLE of E(Y), the expected value of Y, is simply the MLE of β.

So, the MLE of E(Y) is (nα +  y₁ + y₂ + ... + yₙ)/n.

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Answer:

BD = 22, DC = 11√3

Step-by-step explanation:

In triangle ABC, ∠B = 45°, ∠C = 90°. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

∠A + 45 + 90 = 180

∠A + 135 = 180

∠A = 45°

Using sine rule to find BC:

\(\frac{BC}{sinA}=\frac{AB}{sinC} \\\\\frac{BC}{sin45}=\frac{11\sqrt{2} }{sin90} \\\\BC=\frac{11\sqrt{2}*sin45 }{sin90} \\BC=11\)

In triangle BCD, ∠D = 30°, ∠C = 90°. Hence:

∠D + ∠B + ∠C = 180° (sum of angles in a triangle)

∠B + 30 + 90 = 180

∠B + 120 = 180

∠B = 60°

Using sine rule to find BD:

\(\frac{BD}{sinC}=\frac{BC}{sinD} \\\\\frac{BD}{sin90} =\frac{11}{sin30} \\\\BD=\frac{11*sin90}{sin30}\\\\BD=22\)

Using sin rule to find DC:

\(\frac{DC}{sinB}=\frac{BC}{sinD} \\\\\frac{DC}{sin60} =\frac{11}{sin30} \\\\DC=\frac{11*sin60}{sin30}\\\\DC=11\sqrt{3}\)

Answer: 45+16.5=61.5

Step-by-step explanation:

if there is 2 friends going with him it would be  45+16.5=61.5

so that is how much he spends in there is more friends ill give you the other answer if there is more friends

Answer:

600 miles

Step-by-step explanation:

Answer:

The length of the diagonal is F. 7 sqrt(2)!

ANSWER: F

Step-by-step explanation:

The diagonal forms a 45-45-90 triangle. So using that theorem side c (the diagonal) would be a sqrt(2). So in this case 7 sqrt (2).

look on google

Step-by-step explanation:

go on google

search the answer

then BOOM!

Answer:

The answer is the first option x(x-4)(x-1)/2(x+4).

Step-by-step explanation:

because when you simplify after multiplying the denominator is 2x+8 when you simplify that its 2(x+4) and for the numerator after multiplying you get x^3−5x^2+4x when you simply that you get x(x-4)(x-1). Answer would be x(x-4)(x-1)/2(x+4).

Answer:

Step-by-step explanation:

A teacher buys a yogurt cup for $2.00 and a textbook for $13.00 for each student in their classroom. The teacher spends a total of $405.00 for all of the yogurt cups and textbooks. How many students are in the teacher's class?

expenditure for each student 2 + 13 = 15.

We divide the total expenditure by the number of students

405: 15 = 27 $ (your answer)

Answer:

27

Step-by-step explanation:

The answer to the expression (28x52)x48-521 is 69,415. Using PEDMAS we can directly say that the answer to the expression (28x52)x48-521 is 69415.

We follow the order of operations to calculate the expression. First, we multiply 28 by 52 to get 1,456. Then, we multiply the result by 48, which gives us 69,936. Finally, we subtract 521 from 69,936 to obtain the final result of 69,415. To calculate the expression (28x52)x48-521, we follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Let's break down the calculation step by step:

Step 1: Multiply 28 by 52.

28 x 52 = 1456.

Step 2: Multiply the result from step 1 by 48.

1456 x 48 = 69936.

Step 3: Subtract 521 from the result of step 2.

69936 - 521 = 69415.

Therefore, the answer to the expression (28x52)x48-521 is 69415.

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Answer:

25 %

Step-by-step explanation: