Help please thanks please. Solve for the value of d to the nearest tenth place

The most appropriate choice for inverse of a  function will be given by-

[tex]f^{-1}(x) = \frac{10 - 2x}{5}[/tex]

What is inverse of a function?

At first, it is important to know about function

A function from A to B is a rule that maps to each element of A a unique element of B.

A is called the domain of the function and B is called the co domain of the function.

[tex]f^{-1}[/tex]  is said to be the inverse of [tex]f[/tex] if [tex]f[/tex] [tex]o[/tex] [tex]f^{-1}[/tex] = [tex]f^{-1} o[/tex] [tex]f[/tex] =  [tex]I[/tex], I is the identity function.

Let g(x) = y

[tex]\frac{10-5x}{2} = y\\10 - 5x = 2y\\5x = 10-2y\\x = \frac{10 - 2y}{5}[/tex]

[tex]f^{-1}(x) = \frac{10 - 2x}{5}[/tex]

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From the data sets given

(A U B) = ( 1, 2 ,3 ,4 , 7, 8 , 9)

(A U C) = (1, 2 ,3 ,4 ,6 ,8)

(A U B) n ( A U C) = ( 1 ,2, 3, 4 ,8)

Answer:

Step-by-step explanation:

In algebraic expressions that use variables (written as letters), you can write them directly after a normal number, with no symbol between them.

...

Use a ⋅ or × sign if you see words like double, per, or product.

Twice 16 → 2 ⋅ 16.

Five per day → 5 ⋅ d or 5d. ...

The product of 8 and 20 → 8 ⋅ 20.

The square roots for each side of the equation are not correct, as the square root of 36 is of -6 or 6, not -36 or 36, hence the correct solutions are:

x = -3 or x = 9.

The equation in Step 6 is given as follows:

[tex]\sqrt{(x - 3)^2} = \sqrt{36}[/tex]

Simplifying the square roots, the variable x can be isolated, as follows:

Both -6 and 6 are correct results for the square root of 36, because:

His mistake when removing the square root is that he did not calculate the root, he just removed the square root from the 36, hence the correct solutions will be found as follows:

From the (x - 3)² term, the square root is removed along with the square. However 36 = (6)² or (-6)², hence sqrt(36) = 6 or sqrt(36) = -6.;

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we have

4P2

the formula is equal to

n!/(n-r)!

n=4

r=2

substitute

4!/(4-2)!

4!/2!=(4*3*2!)/2!

simplify

4*3=12

An exponential function in the form y=abˣ is y = 7×4ˣ .

A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.

Write the equation of the function:

y = abˣ

For point (0 , 7)

7 = ab⁰

for point (2 , 112)

x = 2

y = 112

Substitute:

112 = ab²

Swap the sides:

ab⁰ = 7

ab² = 112

Find the quotient of the equations:

ab²/ ab⁰ = 112/7

Simplify the equations:

b² = 16

b =  ±√16

Split into two equations: b =  +√16 or b =  -√16

Simplify the radical expression:

b = 4

b = -4

Combine the results: b = 4 or  b = -4

Any fraction with a denominator of 1 is equal to its numerator:

a = 7

7 = a (±4)°

Substitute into one of the equations:

a = 7

b = ± 4

y = 7×4ˣ

Hence , y =7×4ˣ is an exponential function with the formula y=abˣ.

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Step 1. Since Lana Pays the rent monthly, and the lease is for a 3 year period, the first step will be to calculate the number of months that are in 3 years.

Since there are 12 months in just 1 year, we multiply 12 by 3 to get the number of moths in 3 years:

There are 36 months in 3 years.

Step 2. Multiply the number of months by the monthly payment of the rent.

We multiply $395 by the 36 months:

And the result is:

$14,220 is the total amount she will pay for rent during the term of her lease.

Answer:

b. $14,220

Note that;

secθ = 1/cosθ cotθ= cosθ/sinθ

substitute into into the expression

cosθ at the numerator will cancel out the cosθ at the denominator, also sinθ at the numerator will cancel out the sinθ at the denominator

The correct option is A

The graph has been horizontally stretched, 9 units to the right.

Given the function:

The function:

is a horizontally stretched transformation, 9 units to the right.

sin 0 = 26/30

sin 0 = 0.87

0 = 60°

Result 0 = 60°

A. The similar triangles are: B. ΔABC ~ ΔDBE

B. AC = 16

The angle-angle similarity theorem (AA) states that two triangles are similar to each other if two angles in one triangle are congruent to two corresponding angles in the other triangles.

The side lengths of two similar triangles are proportional to each other, which means they have ratio that is equal to one another.

Part A:

In the given diagram, triangles ABC and DBE have two pairs of corresponding angles that are congruent to each other which are: angle ABC ≅ DBE, and angle BCA ≅ BED.

Therefore, based on the AA similarity theorem: B. triangle ABC ~ triangle DBE.

Part B:

Since triangles ABC and DBE are similar triangles, therefore, BC/BE = AC/DE

Substitute

12/15 = (x + 1)/(x + 5)

Cross multiply

12(x + 5) = 15(x + 1)

12x + 60 = 15x + 15

Combine like terms

12x - 15x = -60 + 15

-3x = -45

-3x/-3 = -45/-3

x = 15

AC = x + 1 = 15 + 1

AC = 16

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95 fluid ounces or 3 quarts.

To solve htis problem, convert the ounces to quarts and compare the results.

1 ounce ----------------------- 0.03125 quart

95 ounces ------------------- x

x = (95 x 0.03125) / 1

x = 2.97 quarts

2.97 ounces < 3 quarts

Three quarts is more

Given the function;

The leading exponent is odd and the leading coeeficient is positive, so as x tends to positive infinity, f(x) also tends to positive infinity and as x tends to negative infinity, f(x) also tends to negative infinity.

Thus, the correct answer is FALSE.

Answer: 11/92

Explanation:

Probability is expressed as

number of favorable outcomes/number of total outcomes

From the information given,

number of green marbles = 11

number of red marbles = 7

number of blue marbles = 6

Total number of marbles = 11 + 7 + 6 = 24

Probability of selecting a blue marble = 6/24 = 1/4

Since the marble is not replaced, total number of marbles left = 24 - 1 = 23

Probability of selecting a green marble = 11/23

The probability of selecting a blue marble followed by a green marble is

1/4 x 11/23

= 11/92

Perimeter of an octagon

radius R = 19.9 cm

then To find perimeter

Multiply 8 times lenghts of octagon

with height=

internal angle is= 360/8 = 45°

Now apply rule of Sines

then sin 45/ lside = sin ( 180-45)/2/ radius

Therefore

Lside = sin 45• (19.9) / sin (67.5) = 15.23 cm

Now multiply 8 times this lenght side to find perimeter

8x 15.23 = 121.84 cm

The probability of surviving is given as 20%.

It is required to find the odds of surviving.

Let the event "surviving a certain type of cancer" be X.

It follows that the probability can be written as:

Recall that for an event X, the odds in favor of the event happening are given by the ratio:

The probability of event X not happening is given as:

Substitute the probabilities into the odds formula:

The odds of surviving is 1:4.

The odds of surviving in the ratio from is 4 : 1.

The odds in favor is the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.

The odds against is the ratio of the number of ways that an outcome cannot occur compared to in how many ways it can occur.

Given, An insurance company claims the probability of surviving a certain type of cancer is 20%.

So, The probability of not surviving a certain type of cancer is 80%.

∴ The odds of surviving is 2/8 = 1/4.

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Answer:

n∧4 basically its n to the power of 14

Step-by-step explanation:

your work is in the pic below check it out sorry if incorrect have a wonderful day:)

The total tip for a four-person meal at a restaurant is $122, people $8018. The percentage of the tip is 22%.

Given that,

The total tip for a four-person meal at a restaurant is $122, people $8018. What proportion of a tip is that? Four restaurant beers cost 120 each, and the group tip is $180.

We have to calculate the how much percentage  of a tip is there.

In a variety of situations, such as restaurants, hotels, salons, and other establishments in the service sector, leaving a tip is common. Knowing how to compute a tip and knowing how much to tip is crucial for a variety of reasons, including the fact that many service sector personnel, like waiters, rely heavily on gratuities for the majority of their income. This means that these experts might not be able to support themselves and their families without tips.

Percentage= tip/amount

Percentage= $180/$8018

Percentage= 22%

Therefore, the percentage of the tip is 22%

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Solution

The interior angles of a quadrilateral measure to 360 degrees

Two of them are known and are 210 and 82. They add to 292 degrees.

The other two angles must sum to (360-292)=68 degrees.

They are in a ratio of 7:10

The sum of these two numbers is 17

The other two angles are 28 and 40 degrees respectively.

The sum of all 4 angles is 360 degrees.

The final answer

The other two angles are 28 and 40 degrees respectively.

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given probabilities

STEP 2: Write the formula for calculating the required probability

STEP 3: Find P(Z=1)

STEP 4: Find P(Z=2)

STEP 5: Find the P(Z<3)

Hence, the answer is 0.7

Answer: a) The volume of the pyramid 440.44 cube units

(b) No she doesn't

(c) The volume of the larger pyramid is 1,486.485 cube units

Step-by-step explanation: The given parameters are;

The scale factor of the pyramids, S.F. = 2:3

The base area of the small pyramid,  = 110.11 square units

The height of the small pyramid, h₁ = 12 units

(a) The volume of a pyramid, V = (1/3) × Area of base × The height of the pyramid

Therefore;

The volume of the small pyramid, V₁ = (1/3) × 110.11 square units × 12 units

V₁ = 440.44 cube units

The volume of the small pyramid, V₁ = 440.44 cube units

(b) No she does not have to go through all the hard work again to find the volume of the larger pyramid

She only has to make use of the scale factor relationships of the two pyramid to calculate the volume of the larger pyramid

The volume scale factor = (The linear scale factor)³

(c) The linear scale factor of the pyramids = 2:3 = 2/3

Therefore;

The volume scale factor of the pyramids = (2/3)³ = 8/27

To find the volume of the larger pyramid, V₂, from the volume of the smaller pyramid, V₁, we multiply the volume of the smaller pyramid, V₁,  by 27/8 as follows;

V₂ = V₁ × (27/8)

Therefore;

The volume of the larger pyramid, V₂ = 440.44 cube units × (27/8) = 1,486.485 cube units

The volume of the larger pyramid, V₂ = 1,486.485 cube units.

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Answer:

7. x = 25

8. x = 28

Step-by-step explanation:

7. Alternate interior angles are congruent.

[tex]x + 25 = 2x[/tex]

[tex]x = 25[/tex]

8. Consecutive angles add up to 180°.

[tex]4x + 2x + 12 = 180[/tex]

[tex]6x + 12 = 180[/tex]

[tex]6x = 168[/tex]

[tex]x = 28[/tex]

The side lengths of the right triangle in exact form are z = (15√3)/2,   x = 15/2, y = (15√3)/4, a = 15/4 and b = 45/4.

Three out of the six functions used in trigonometry is expressed as;

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

From diagram, we solve for side z of the right triangle.

cosθ = adjacent / hypotenuse

cos( 30° ) = z / 15

Solve for z

z = cos( 30° ) × 15

z = (√3)/2 × 15

z = (15√3)/2

Next solve for side x

sinθ = opposite / hypotenuse

sin( 30° ) = x / 15

x = sin( 30° ) × 15

x = 15/2

Solve for side y

sinθ = opposite / hypotenuse

sin( 60° ) = y / 15/2

y = sin( 60° ) × 15/2

y = (15√3)/4

Solve for side a

cosθ = adjacent / hypotenuse

cos( 60° ) = a / 15/2

a = cos( 60° ) × 15/2

a = 15/4

Solve for side b

b = 15 - a

b = 15 - 15/4

b = 45/4

Therefore the length of side of b is 45/4

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Answer:

70 miles an hour

Step-by-step explanation:

First, you want to know how fast bus A can go. So you want to do 125/3 since the bus travels 3 hours. you get 41.6666667. keep that number. then you want to divide 85 by 3 since bus B is going for 3 hours. you get 28.3333333. then you add those numbers to get how fast bus B is going and you get 70 miles per hour for bus B

Since the triangle is a right-angled triangle, we can use SohCahToa to find x

Using the ratio

Opposite = 4ft

adjacent = x

Substituting these values yield

To find Z we use the fact that the sum of angles in a triangle is 180 degrees

so that in triangle XYZ

90 + 25 +Z = 180

Z = 180 - 115

Z= 65 degrees

We will now use Pythagoras theorem to find y

Hence x= 8.58 ft, y= 9.46ft and Z = 65 degrees, Option C

Solution

For this case we have the following points:

(-9, 6) and (-3, 9)

and we can find the slope with this formula:

Then the solution would be:

B ) 1/2

the answer would be 3