Tall Mountain is 8,678.37 feet higher than Mt. Might. What is the elevation of Tall Mountain?
The elevation of Tall Mountain is
feet.

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

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Answer:

Power of quotient

Step-by-step explanation:

Just took the test

Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

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Answer:

B

Step-by-step explanation:

The magnitude of angle Z include the following:

cosZ = 0.471

sinZ = 0.88

tanZ = 1.875

In order to determine the magnitude of angle Z, we would apply the basic trigonometric ratio because the given side lengths represent the adjacent side, opposite side, and hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp

Where:

For cosZ, we would apply the cosine trigonometric ratio as follows;

cosZ = 13.6/28.9

cosZ = 0.4706

Z = cos⁻¹(0.4706)

Z = 61.93°.

For sinZ, we would apply the sine trigonometric ratio as follows;

sinZ = 25.5/28.9

sinZ = 0.8824

Z = sin⁻¹(0.8824)

Z = 118.07.

For tanZ, we would apply the sine trigonometric ratio as follows;

tanZ = 25.5/13.6

tanZ = 1.875

Z = tan⁻¹(1.875)

Z = 61.93.

Answer:

53.24 in

Step-by-step explanation:

sin(theta) = perpendicular/hypotenuse

sin(33)=29/hypotenuse

hypotenuse=29/sin(33)=53.24 in

The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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\(\huge{\green{\underline{\underline{\bf{\orange{ANSWER:-}}}}}}\)

\(\longrightarrow\tt{f(x) = 2x - 11 - 5} \\ \\ \longrightarrow\tt{f( - 3) = 2( - 3) - 11 - 5} \\ \\ \longrightarrow\tt{f( - 3) = - 6 - 11 - 5} \\ \\ \longrightarrow\tt{f( - 3) = - 22}\)

f(x) = 2x−11−5

= f(−3) = 2(−3)−11−5

= f(−3) = −6−11−5

= f(−3) =−22

Answer:

7

Step-by-step explanation:

Let the required number be x

Therefore, according to the given description:

6x - 3 = 39

6x = 39 + 3

6x = 42

x = 42/6

x = 7

Answer:

Since (f · g) (x) = f(x) · g(x), we need to find f(x) and g(x) first.

f(x) = x - 5

g(x) = 3x^2 - 1

Therefore, (f · g) (x) = f(x) · g(x) = (x - 5) · (3x^2 - 1)

Expanding this product, we get:

(f · g) (x) = 3x^3 - 15x^2 - x + 5

Therefore, (f · g) (x) = 3x^3 - 15x^2 - x + 5.

Answer:

rational expressions

hope I helped! :)

Answer:

The ratio for the first print job is 150/30 = 5 pages per second.

The ratio for the second print job is 130/20 = 6.5 pages per second.

Since the ratios are different, the data do not represent a proportional relationship. In a proportional relationship, the ratio between two variables remains constant.

Step-by-step explanation:

Answer:

I originally thought it was D, but it's B (Edit)

Step-by-step explanation:

I have a simple way of thinking of it. These signs basically work like arrows. > is like -> and < is <- and if it has a line underneath, it's a filled in circle. Sorry if chose the wrong one. I'm in high school and it's been awhile since I've seen those.

Answer:

The choice 2.

\( - 3 < x \leqslant 1\)

Answer:

790

Step-by-step explanation:

7098uuilu4645

Therefore the value of x is less than 4 when x is in the inequality 3x + 2 < 14 and greater than -3 when x is in the inequality 2 x-5> -11

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. For instance, let's say you have 225 and want to purchase a new bicycle that costs $250.

Expressions are carried out, or evaluated, in order to yield a value. In an evaluation process, values of expressions can be employed as components of surrounding expressions.

To solve for x in the inequality 3x + 2 < 14, we can begin by subtracting 2 from both sides to get 3x < 12. Then, dividing both sides by 3 gives x < 4.

To solve for x in the inequality 2 x-5> -11, we can begin by adding 5 to both sides to get 2x> -6, then divide both sides by 2 to get x > -3

So x can be any number greater than -3 and less than 4

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Answer:

To make $175, he has to sell 644 hotdogs.

Step-by-step explanation:

Lets do this together step by step.

To calculate the cost of a single hot dog, divide the profit recieved by the number of hot dogs.

So that would be 14/56 which would result in $0.25.

Now we know that 1 hot dog = 25 cents.

Now, all of the money we receive ( $175) comes from selling a certain number of hot dogs.  

We can see that in order to calculate how many hotdogs we could buy with this sum of money, we would need to divide the total by the price of each hot dog.

175/0.25 = 700 ( Thats quite a lot.)

700-56 =644

He has to sell 644 hotdogs to earn $175.

Step-by-step explanation:

the other answer is absolutely correct.

just the last part was not fully explained :

the question was how many additional hot dogs have to be sold to earn $175 in total ?

to make $175, 700 hot dogs have to be sold.

but 56 have been sold already (for the initial $14 earnings).

so, 700 - 56 = 644 additional hot dogs have to be sold.

The subtraction of the two matrix is   [31    6     12    -14     57 ]

                                                               [-19  -27  -18     18     27 ]

                                                               [ 47    14     -1    -40     9 ]

                                                               [10     12    -19    -15   -58]

                                                               [-14   -23    10     4       19]

The subtraction of the two matrix is calculated as follows;

The result to 4 multiplied by D is calculated as;

4[D] = [28   -24    12    -32     -36]

        [8      -36   -24     24      36]

        [32     8      20     -40     -12]

        [40   -12      -16    12     - 28]

        [4      -8       16     -20     -8 ]

The result to 3 multiplied by B is calculated as;

3[B] = [-3    -30  -24   -18     21]

        [27    -9    -6      6       9]

        [-15    -6    21     0      -21]

        [30    -24   3    27      30]

        [18     15     6   -24     -27]

The subtraction of the two matrix is calculated as follows;

4[D] - 3[B] =  [31    6     12    -14     57]

                   [-19  -27  -18     18     27 ]

                   [ 47    14     -1    -40     9 ]

                   [10     12    -19    -15   -58]

                   [-14   -23    10     4      19]

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9514 1404 393

Answer:

  720

Step-by-step explanation:

The LCM of these numbers will have every factor that is part of these numbers.

  16 = 2^4

  30 = 2 × 3 × 5

  36 = 2^2 × 3^2

So, the LCM will have factors of 2^4, 3^2, and 5:

  LCM(16, 30, 36) = 2^4 × 3^2 × 5 = 720

720 = 16×45 = 30×24 = 36×20

The least common multiple is 720.

Answer:

-------------------------------------------

Let's simplify left sides of each statement and compare with right sides:

Answer:

7/10= y/ 100

Well the answer is

y=70

The ratio of the given 240 kg to 6 kg will be 40:1.

What is Ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

the ratio 240 kg to 6 kg.

It will be simple 240/6 :: 40 :1

Hence the ratio of the given data will be 40:1

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Answer:

C

Step-by-step explanation:

X vertex = (0, - 3)

ax² + bx + c = y

0.x² + b.0 + c = - 3

c = - 3

Then:

The graphic of g(x) is the a one is negative, because the curve is below.

Then:

g(x) = - x² - 3

I hope I've helped you.

I hope you understand my English ^^

The value of the product of the number as given in the task content is; Choice B; 1.

It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.

To effectively multiply, we must convert the mixed number to a fraction as follows;

1⅓ = 4/3.

Hence, the product is; 4/3 × 3/4 = 12/12 = 1.

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\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

We need to perform a hypothesis test to determine if the distribution of blood types in hospital patients is the same as that of the general population.

Let's set up the null and alternative hypotheses:

Null hypothesis:

The distribution of blood types in hospital patients is the same as that of the general population.

Alternative hypothesis:

The distribution of blood types in hospital patients is different from that of the general population.

We can use a chi-squared test to test the hypothesis.

First, we need to calculate the expected frequencies for each blood type based on the general population distribution:

Expected frequency of type A = 50 x 0.22 = 11

Expected frequency of type B = 50 x 0.28 = 14

Expected frequency of type O = 50 x 0.38 = 19

Expected frequency of type AB = 50 x 0.12 = 6

Next, we can calculate the chi-squared statistic:

\($\chi^2 = \frac{(11-11)^2}{11} + \frac{(9-14)^2}{14} + \frac{(24-19)^2}{19} + \frac{(6-6)^2}{6} = 2.84$\)

The degrees of freedom for the test is (4 - 1) = 3.

Using a chi-squared distribution table with 3 degrees of freedom and a significance level of 0.10, the critical value is 6.251.

Since the calculated chi-squared value (2.84) is less than the critical value (6.251), we fail to reject the null hypothesis.

Thus,

We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.

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the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Answer:

Television = $200 and DVD player = $450

Step-by-step explanation:

→ Make 2 equations

Televisions = t and DVD players = d

2t + 3d = 1750

4t + d = 1250

→ Multiply the bottom equation by 3 to make the same variable of d

2t + 3d = 1750

12t + 3d = 3750

→ Minus the two equations to isolate the d variable

-10t = -2000

→ Divide both sides by -10 to find the cost of one television

t = 200

→ Substitute t = 200 back into 4t + d = 1250

800 + d = 1250

→ Minus 800 from both sides to isolate d

d = 450