An airplane measures the angle of depression to a tree to be 15 degree it measures that it is 2 miles off the ground how far is the airplane from the bottom of the tree ?

Answer:

Reject the Null ;

0.928

Step-by-step explanation:

Given the data: 2, 4, 3, 5, 1, 1, 4

Sample mean = (2 + 4 + 3 + 5 + 1 + 1 + 4) / 7 = 2.857

Standard deviation, s = 1.57 ( using calculator)

The hypothesis :

H0 : μ = 1.4

H1 : μ ≠ 1.4

Since sample size is small, use T test

Test statistic :

Tstatistic = (x - μ) / s/sqrt(n)

Tstatistic = (2.857 - 1.4) / 1.57/sqrt(7)

Tstatistic = 1.457 / 0.593 = 2.455

Two tailed test at α = 0.05

Tcritical at df = 7-1 = 6 ; α = 0.05 = 2.447

Tstatistic > Tcritical ; reject the null

Since ;

2.455 > 2.447 ; we reject the null ;

There is significam evidence that Number of complaints has changed.

Effect size ;

d = (x - μ) / s

d = (2.857 - 1.4) / 1.57

d = 1.457 / 1.57

d = 0.928

By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Given:

- Triangle ΔAEB and ΔDFC

- Line ABCD is straight (implies AC and BD are collinear)

- AE is parallel to DF

- EB is parallel to FC

- AC = DB

To prove: ΔEAB ≅ ΔFDC

Recall that:

AE || DF

EB || FC

AC = DB

AE || DF, EB || FC (Parallel lines with transversal line AB)

Corresponding angles are congruent:

  ∠AEB = ∠DFC (Corresponding angles)

  ∠EAB = ∠FDC (Corresponding angles)

Corresponding sides are proportional:

  AE/DF = EB/FC (Corresponding sides)

  AC/DB = BC/DC (Corresponding sides)

  AC = DB

  BC = DC (Equal ratios)

ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)

∠EAB = ∠FDC

∠AEB = ∠DFC

AC = DB, BC = DC

Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

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The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Answer:

Priya practiced for 114 minutes (1 hour and 54 minutes).

Step-by-step explanation:

Percentages

To find a percentage of a given number, the procedure is multiplying the percentage by the number and divide by 100.

Han spent 75 minutes practicing the piano over the weekend and Priya practiced the violin for 152% of the time that Han did.

We need to compute:

\(\frac{152*75}{100}=\frac{11400}{100}= 114\)

Priya practiced for 114 minutes (1 hour and 54 minutes).

Answer: 48

Step-by-step explanation: trust me

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer:

The answer is 2x + 6 or 2(x + 3)

Step-by-step explanation:

2/3 (9x + 6) -1/2(8x - 4)

(18x + 12)/3 - (8x + 4)/2

6x + 4 - 4x + 2

Rearrange it

6x - 4x + 4 + 2

Combine like terms

2x + 6

Take 2 as common

2(x + 3)

Thus, The answer is 2x + 6 or 2(x + 3)

Answer:

-0.7

Step-by-step explanation:

\(x-y=0.7\)

You can choose any digits you wish for \(x\) and \(y\) but the difference must be 0.7. I chose 1.0 and 0.3.

\(x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7\)

139 miles

explanation:

$1 → 100 cents

Here the base fee is fixed.

make equation:

$19.99 + 0.83m ↣ $135.36

0.83m ↣ $135.36 - $19.99

0.83m ↣ $115.37

m ↣ 139

Therefore she has ridden 139 miles.

Answer:

D

Step-by-step explanation:

The other options aren't entirely true. Although loans typically need to be paid back, grants do not need to be. Since a portion of this statement is wrong, that option is automatically eliminated. Then there's scholarships. Most scholarships do not need to be paid back. In fact, I have not heard of one where you do need to pay it back, but there's a possibility one exists. As for the third option, if you're in a work-study program, you are earning money and therefore have nothing to pay back. The only liable choice left is the last answer, as saving money will always benefit you financially.

Based on the information given the new balance is $289.72.

First step is to calculate the finance charge

\(\text{Finance charge}=205.16\times(0.144\div12 \ \text{months})\)

\(\text{Finance charge}=205.16\times0.012\)

\(\text{Finance charge}=2.46\)

Second step is to calculate the New balance

\(\text{New balance}=205.16+2.46+82.10\)

\(\text{New balance}=\bold{\$289.72}\)

In conclusion, the new balance is $289.72.

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

Compare and contrast the following functions.

Observations include: increasing, decreasing, growth rate, starting value, linear, exponential, etc.

PART ONE:

Function 1: An antibiotic kills 1000 bacteria per hour.

At the beginning, there were 20,000 bacterial cells.

The function is linear. The bacteria is decreasing.

The initial value is 20,000

PART TWO:

Function 2:

Bacterial cells double each hour. At the beginning, there were 500 bacteria.

The function is exponential. The bacteria is increasing.

The starting value is 500.

PART THREE:

Similarities:

There are no similarities.

PART FOUR:

Differences:

In Function

The correct terms in the expression are,

⇒ 3x and 5x

We have to given that;

The quadratic equation is,

⇒ 15x² + x - 2 = (? - 1) (? + 2)

Now, We can simplify as;

⇒ 15x² + x - 2

⇒ 15x² + 6x - 5x - 2

⇒ 3x (5x + 2) - 1 (5x + 2)

⇒ (3x - 1) (5x + 2)

Thus, The correct terms in the expression are,

⇒ 3x and 5x

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One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.

As per the given data:

The number of popcorn bags is x

The number of candies is y

The cost of each popcorn bag is $7

The cost of each candy is $4

She has $80 to spend on them

Inequality is the nonequal comparison of two or more variables and numbers.

So the first inequality is

7 x + 4 y ≤ 80

Since she must buy no less than 16 bags of popcorn and candies

The second inequality is

x + y ≥ 16

The red area represents the 1st inequality

The blue area represents the 2nd inequality

The solutions lie in the common part of red and blue colors

One possible solution is ordered pair (9,5)

(Graph attached at the end of solution)

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Answer:

-x^5+2x³-x²-1x-1

Step-by-step explanation:

First order the terms based on highest degree or exponent.

-x^5+2x³-x²-3x¹+2x-1

Next combine like terms.

-3x¹ is simply -3x so -3x+2x = -1x

-x^5+2x³-x²-1x-1

The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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Answer:

10

Step-by-step explanation:

Answer:

$1.44

Step-by-step explanation:

Answer:

$1.44

Step-by-step explanation:

You divide $25.99 by 18 to get $1.44

go download cymath app and check

Step-by-step explanation:

download cymath and solve everything only maths solution

Answer:

Your answer is Option 4) $6.98

Step-by-step explanation:

let's see

kiran buys a meal that costs= $12

an additional amount has been added = 8.5%

= $12+8.5%= $13.02 or $13.2

so $13.2 - $20= $6.98

hope it helps please do give me brainliest :D

Answer:

- \(\frac{9}{10}\) > - \(\frac{10}{10}\)

Step-by-step explanation:

Which number is closer to 0, meaning that number is bigger.

-9/10 = -0.9

-10/10 = -1

We see -0.9 is closer to 0, meaning it is bigger.

So,  - \(\frac{9}{10}\) > - \(\frac{10}{10}\)

Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

2y - x = 16

Multiply the bottom part by 2.

2x + 4y = -16

4y - 2x = 32

Add the equations and the answers to the equations up, and they will equal each other.

(2x + 4y) + (4y - 2x) = -16 + 32

8y = 16

y = 2

Plug y = 2 to the 2nd equation.

2*2 - x = 16

4 - x = 16

Subtract 4 from both sides.

-x = 12

Multiply both sides by -1.

x = -12

Why were the Jews victims of genocide during World War II?

Bankers for the previous corrupt German government had been mostly from Jewish families.

Many Germans believed that Jews had masterminded the Russian communist revolution.

Many believed that the Jews were planning to take control of the German parliament.d masterminded the Russian communist revolution.

Answer:

C

Step-by-step explanation:

Start by simplifying what you can in each radicalfor example, the

∛(xy⁵)= y∛(xy²)

and

∛(x⁷y¹⁷)=x²y⁵∛(xy²)

So know our equation looks like

y∛(xy²)*x²y⁵∛(xy²)

Now because what's inside the radical is the same we can combine them

y⁶x²∛(xy²)²

distribute the square

so

∛(xy²)²=  ∛(x²y⁴)= y∛(x²y)

and finally,

y⁶x²*y∛(x²y)= y⁷x²∛(x²y)

this is equal to option C

Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.

The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.

Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.

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Answer:

Step-by-step explanation:

it will take 4 days to pay of the loan

Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

Answer:

4x^2+24x+95 R306

Step-by-step explanation:

Answer:The sales tax rate is 5.45%.

Step-by-step explanation:

Let X be the percent sales tax rate.

The cost of the sales tax is $21.09 - $20 = $1.09.

The cost of the sales tax is X% of the original price, or X/100 * $20 = $1.09.

Dividing both sides by $20 and multiplying by 100% gives:

X = 1.09 / 20 * 100% = 5.45%.

The sales tax rate is 5.45%.

Answer:

the sales tax is 1.09 %

Step-by-step explanation: