Pls help me I CANT DO THIS AT ALL PLS

Answer:

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

This is an absolute value function and is the translation of f(x) = |x| down by 5 units.

We know that f(x) = |x| is never negative as per definition of absolute value. So its range is zero or positive numbers:

The given function (|x| - 5) can get values 5 less than the parent function (|x|), so its range is:

This is option B.

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer: $400

Step-by-step explanation:

Discount = 15%

The original price/value of an item is always 100%

So selling price (%) = original price - discount = 100%-15% = 85%

We got selling price as 85%

This implies that 85% = 340

Let's find 1% first, then 100%

1% = 340÷85 = 4

100% = 4 × 100 = $400

The usual (normal/original) price is $400

Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.

percentage, a relative value indicating hundredth parts of any quantity.

Let's represent the usual price of the bicycle by P.

Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).

We can express this relationship as an equation:

S = 0.85P

We also know that the selling price of the bicycle was $340.

Substituting S = $340 into the equation above, we get:

$340 = 0.85P

To find P, we can solve for it:

P = $340 / 0.85

P = $400

Therefore, the usual price of the bicycle was $400.

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Answer:

Rug 2

667/25 yd

Step-by-step explanation:

Bedroom: 23/5 x  29/5 = 667/25 yd

Rug one > 26.68

Rug two < 26.68

Answer:

This angle lies in the I quadrant.

Step-by-step explanation:

The coordinate axes divide the plane into four quadrants, labelled first, second, third and fourth.

When the angle is more than 360º  we can divide the angle by 360º and cut off the whole number part.

If we divide 800º by 360º, the integer part would be 2 and the remaining is 80º. Now we should find the quadrant for this angle.

                                                       \(\frac{800}{360}=2\frac{80}{360}\)

When the angle is between 0º and 90º, the angle is a first quadrant angle. Since 80º is between 0º and 90º, it is a first quadrant angle.

Answer:

$26,986.29

Step-by-step explanation:

We can use the formula for calculating the depreciation of an asset over time:

wor

\(\bold{D = P(1 - \frac{r}{100} )^t}\)

where:

D= the current value of the asset

P = the initial purchase price of the asset

r = the annual depreciation rate as a decimal

t = the number of years the asset has been in use

In this case, we have:

P = $39,600

r = 12% = 0.12

t = 3 years

Substituting these values into the formula, we get:

\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)

Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.

Answer:

$26,986.29

Step-by-step explanation:

As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.

\(\boxed{f(t)=a(1-r)^t}\)

where:

In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:

\(f(t)=39600(1-0.12)^t\)

\(f(t)=39600(0.88)^t\)

To calculate the value of the car after 3 years, substitute t = 3 into the function:

\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)

Therefore, the car is worth $26,986.29 after 3 years.

The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Answer:

\(y - 60 = 72(x-2)\)

Step-by-step explanation:

We need slope, an x coordinate, and a y coordinate for a tangent line.

Slope: f'(x) will give us the slope, so f'(2) = m = 9(2)\(\sqrt{3(2)^2 +4}\) = 18(\(\sqrt{16}\)) = 18(4) = 72

X coordinate: 2, given by the question.

Y coordinate: For the Y coordinate, we need to find f(2). To find f(x), we will use integration by substitution \(u = 3x^2\)      \(du =6x dx\)

\(\int\ {\frac{9}{6}\sqrt{u} } \, du\)

Apply Linearity

\(\frac{3}{2} \int\sqrt{u} } \, du\)

Integrate

\(u^{\frac{3}{2}} + C\)

Undo substitution

\((\sqrt{3x^2 + 4^}})^3 + C\)

Plug in x = 0 and solve for C

\(4 =\sqrt{(3(0)^2 + 4)^3} + C \\4 = \sqrt{64} + C\\4 = 8 + C\\C = -4\)

Now solve for f(2)

\((\sqrt{3(2)^2 + 4^}})^3 - 4\)

\((\sqrt{16}})^3 - 4\\64 - 4\\60\)

Fill in point slope form

\(y - 60 = 72(x-2)\)

Answer:

17

Step-by-step explanation:

first write the equation:

twice a number x is 2x

six less is -6

so equation is 2x - 6 = 38

solve for x:

2x = 34

x = 17

Answer:16

Step-by-step explanation:

The value of angle x in the straight line is 41 degrees.

The sum of angles on a straight line is 180 degrees. In other words, angles on a straight line add up to 180°. Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.

Therefore, let's find the angles x.

Using sum of angles on a straight line,

x + 139 = 180

subtract 139 from both sides of the equation

x + 139 - 139 = 180 - 139

Hence,

x = 41 degrees

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The slope of the given line in  the image is -4 , Option A is the answer.

The equation of the straight line is given by

y =mx +c ,

Where m is the slope , C is the intercept

The line is passing through the point

(-1,8)  ,(2,-4)

The slope is given by

m = (y₂-y₁) /(x₂-x₁)

m  = (-4 - 8 )/(2 +1)

m = -12/3

m = -4

Therefore the slope of the given line in  the image is -4 , Option A is the answer.

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Answer:

m∠GBC = 56°

Step-by-step explanation:

Well because m∠GBH is equal to m∠HBC all you have to do is 28 add to 28. We know that m∠GBH is equal to m∠HBC because of the two dashes marked in the angles and because m∠GBC = m∠GBH + m∠HBC  this can be rewritten as m∠GBC = 28 + 28 adn from there we can find out that m∠GBC = 56°.

I hope this was helpful. If not tell me in the comment section below.

Answer:

223 and 224

Step-by-step explanation:

Divide 447 by 2. It gives a decimal of 223.5, but obviously you don't have half pages. So the page number would be 223 and 224.

Answer:

223,224

Step-by-step explanation:

page 1-x

page 2-x+1

2x+1=447

2x=446

x=223

page 1=223

page 2=224

Brainliest is Very Appreciated!

Answer:

C.

$634.87

Step-by-step explanation:

A=500×(1+0.04÷4)^(4×6)

A=634.87

The required percentage of a 50-year-old woman have a systolic blood pressure between 130 mmHg. and 170 mmHg is 95.44%.

Given that,
The systolic blood pressure of women is normally distributed with a mean of 150 mmHg. and a standard deviation of 10 mmHg.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
z = [ x - μ]/σ
Accoding to the question,

= p[z < (170-150)/10] -  p[z < 130-150/10]
= p [z <2] - p [z < -2]
= 0.9772 - 0.0228
= 95.44%

Thus, the required percentage of a 50-year-old woman have a systolic blood pressure between 130 mmHg. and 170 mmHg is 95.44%.

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Answer:

1. -5.7

Step-by-step explanation:

When a negative number and another negative number are being added together (but this differs in multiplication and division though), the answer will always be negative, unless a greater positive (combination or single) number is being added to those, but in this case, it is just two negative numbers. What you can do here is add the absolute values of the negative numbers, which would be 1.8 + 3.9, since absolute values are always positive numbers. Once you add these values, which gives you 5.7, you make the answer negative, because before, you were adding negative numbers, so your answer would be -5.7.

Just so you can make sure your answers are correct for the next ones:

2. -2

3. -4.4

a.) Exact result: 10.9375. Approximate: 11 quarts of heavy cream.

b.) Exact result: 65.625. Approximate: 66 eggs.

c.) Exact result: 43.75. Approximate: 44 lemons.

If 400 guest will consume 1.75 pastries, then the total of pastries is:

\(400*1.75=700\)

If one quarter of the pastries will have 2 ounces of lemon filling, then the amount of pastries that will ahve this filling is:

\(700*\frac{1}{4}= 175\)

If 175 will have 2 ounces of lemon filling, then the ounces of lemon filling needed is:

\(175*2=350\)

Then, the mass, in pounds, of lemon filling needed is:

\(350/16=21.875\)

To find the quarts of heavy cream needed, set up a rule of 3 like this:

2 pounds of filling ------------ 1 quart of heavy cream

21.875 pounds of filling ----- x

\(x= \frac{21.875*1}{2} =10.9375\)

The amount of quarts of heavy cream needed is, approximately, 11.

Do the same rule of 3 as in question 1, except that now we substitute the ingredient and que quantity:

2 pounds of filling ------------ 6 eggs

21.875 pounds of filling ----- x

\(x= \frac{21.875*6}{2} =65.625\)

The amount of eggs needed is, approximately, 66.

First, let's find out how many cups of lemon juice are needed through a rule of 3.

2 pounds of filling ------------ 1 cup of lemon juice

21.875 pounds of filling ----- x

\(x= \frac{21.875*1}{2} =10.9375\)

Now, convert the cups to ounces.

10.9375 cups * 8= 87.5 ounces.

Set up another rule of 3 to determine the number of lemons.

2 ounces ------------ 1 lemon

87.5 ounces ----- x

\(x= \frac{87.5*1}{2} =43.75\)

The amount of lemons needed is, approximately, 44.

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

Step-by-step explanation:

sin 63 = JK/8

sin = opposite/hypotenuse

answer is C

The simplification form of the provided expression is 6/5x¹⁰ option first is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

\(\rm = \sqrt{\dfrac{72x^{16}}{50x^{36}}}\)

\(\rm = \sqrt{\dfrac{72}{50}} \sqrt{\dfrac{x^{36}}{x^{16}}}\)

\(\rm = \sqrt{\dfrac{36\times2}{25\times2}} \sqrt{\dfrac{x^{36}}{x^{16}}}\)

\(\rm ={\dfrac{6x^{8}}{5x^{18}}}\)

\(\rm ={\dfrac{6}{5x^{10}}}\)

Thus, the simplification form of the provided expression is 6/5x¹⁰ option first is correct.

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Answer:

6x3

Step-by-step explanation:

Edge 2023

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

The obtained answers for the given line segments are as follows:

9. The value of the line segment \(\overline {DE}\) = 43; Where \(\overline { DF}\) = 61 and \(\overline {EF}\)

10. The value of x is 6; Where \(\overline {DE}\) = 4x - 1, \(\overline {EF}\) = 9, and \(\overline { DF}\) = 9x - 22

11. The value of line segment \(\overline {EF}\) = 32; Where  \(\overline { DF}\) = 78, \(\overline {DE}\) = 5x - 9, and \(\overline {EF}\) = 2x + 10

12. The value of line segment \(\overline { DF}\) = 57; Where \(\overline {DE}\)  = 4x + 10 \(\overline {EF}\) = 2x - 1, and \(\overline { DF}\) = 9x - 15.

The calculation for the required values is as follows:

9. Finding \(\overline{DE}\):

It is given that,

\(\overline{DF}\) = 61; \(\overline{EF}\) = 18

From the figure, we can write

\(\overline{DF} = \overline{DE} + \overline{EF}\)

On substituting the given values,

61 = \(\overline{DE}\) + 18

⇒ \(\overline{DE}\) = 61 - 18

∴ \(\overline{DE}\) = 43

10. Finding x:

It is given that,

\(\overline {DE}\) = 4x - 1, \(\overline {EF}\) = 9, and \(\overline { DF}\) = 9x - 22

From the figure we have

\(\overline{DF} = \overline{DE} + \overline{EF}\)

On substituting,

(9x - 22) = (4x - 1) + 9

⇒ 9x - 22 = 4x - 1 + 9

⇒ 9x - 4x = 8 + 22

⇒ 5x = 30

∴ x = 6

11. Finding \(\overline{EF}\):

It is given that,

\(\overline { DF}\) = 78, \(\overline {DE}\) = 5x - 9, and \(\overline {EF}\) = 2x + 10

From the figure we have

\(\overline{DF} = \overline{DE} + \overline{EF}\)

On substituting,

78 = (5x - 9) + (2x + 10)

⇒ 78 = 5x - 9 + 2x + 10

⇒ 7x + 1 = 78

⇒ 7x = 78 - 1

⇒ 7x = 77

∴ x = 11

On substituting x = 11 in \(\overline {EF}\) = 2x + 10; we get

\(\overline {EF}\) = 2(11) + 10

      = 22 + 10

      = 32

Therefore, the value of the line segment \(\overline {EF}\) is 32.

12. Finding \(\overline {DF}\):

It is given that,

\(\overline {DE}\)  = 4x + 10 \(\overline {EF}\) = 2x - 1, and \(\overline { DF}\) = 9x - 15

From the figure we have

\(\overline{DF} = \overline{DE} + \overline{EF}\)

On substituting,

(9x - 15) = (4x + 10) + (2x - 1)

⇒ 9x - 15 = 4x + 10 + 2x - 1

⇒ 9x - 15 = 6x + 9

⇒ 9x - 6x = 9 + 15

⇒ 3x = 24

∴ x = 8

On substituting x = 8 in \(\overline { DF}\) = 9x - 15; we get

\(\overline { DF}\) = 9(8) - 15

      = 72 - 15

      = 57

Therefore, the value of the line segment \(\overline { DF}\) is 57.

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Answer:

(a) w = \((\frac{-7}{4} , \frac{9}{4}, \frac{1}{2})\)

(b) -2u + 3v - 5w = (\(\frac{39}{4}\), \(\frac{-54}{4}\), \(\frac{3}{2}\))

Step-by-step explanation:

Given:

u = (−2, 3, 1)

=> u = -2i + 3j + k                           --------------------------(i)

v = (−1, −1, 2)

=> v = -i - j + 2k                                --------------------(ii)

3u − 2v − 4w = (3, 2, −3)

=> 3u − 2v − 4w = 3i + 2j - 3k             ------------------(iii)

(A) TO FIND THE VECTOR w

Let:

w = (a, b, c) = ai + bj + ck

(a) Substitute u, v and w into equation (iii)

3u − 2v − 4w = 3i + 2j - 3k

3(-2i + 3j + k) - 2(-i - j + 2k) - 4(ai + bj + ck) = 3i + 2j - 3k

(b) Solve the equation in step (a) by opening the brackets and collecting like terms

(-6i + 9j + 3k) - (-2i - 2j + 4k) - (4ai + 4bj + 4ck) = 3i + 2j - 3k

open brackets

-6i + 9j + 3k + 2i + 2j - 4k - 4ai - 4bj - 4ck = 3i + 2j - 3k

collect like terms

-6i + 2i - 4ai + 9j + 2j - 4bj + 3k - 4k - 4ck = 3i + 2j - 3k

i(-4 - 4a) + j(11 - 4b) + k(-1 - 4c) = 3i + 2j - 3k

(c) Solve for a, b and c in step (b)

Comparing both sides of the equation, we have;

-4 - 4a = 3              ----------(*)

11 - 4b = 2              -----------(**)

-1 - 4c = -3             ------------(***)

From (*)

4a = -4 - 3

4a = -7

a = \(\frac{-7}{4}\)

From (**)

4b = 11 - 2

4b = 9

b = \(\frac{9}{4}\)

From (***)

-1 - 4c = -3

4c = -1 + 3

4c = 2

c = \(\frac{2}{4}\)

c = \(\frac{1}{2}\)

Remember that

w = (a, b, c)

w = ai + bj + ck

Therefore,

w = \((\frac{-7}{4} , \frac{9}{4}, \frac{1}{2})\)

(B) TO FIND -2u + 3v - 5w

Remember that;

u = (−2, 3, 1)

v = (−1, −1, 2),

w = \((\frac{-7}{4} , \frac{9}{4}, \frac{1}{2})\)

Substitute u, v, w into the expression as follows;

-2(−2, 3, 1) + 3(−1, −1, 2) - 5\((\frac{-7}{4} , \frac{9}{4}, \frac{1}{2})\)

Expand

(4, -6, -2) + (−3, −3, 6) - \((\frac{-35}{4} , \frac{45}{4}, \frac{5}{2})\)

Collect like terms

(4-3+\(\frac{35}{4}\), -6-3-\(\frac{45}{4}\), -2+6-\(\frac{5}{2}\))

Solve

(\(\frac{39}{4}\), \(\frac{-54}{4}\), \(\frac{3}{2}\))

Therefore, -2u + 3v - 5w = (\(\frac{39}{4}\), \(\frac{-54}{4}\), \(\frac{3}{2}\))

In triangle DEF, the length of segment DF is 15√3. So correct option is C.

Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratios of its sides. There are three primary trigonometric ratios: sine, cosine, and tangent, which are commonly abbreviated as sin, cos, and tan, respectively.

Here are the definitions of these trigonometric ratios:

Sine (sin): The sine of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. This can be written as sin(theta) = opposite / hypotenuse.

Cosine (cos): The cosine of an angle in a right triangle is equal to the length of the adjacent side divided by the length of the hypotenuse. This can be written as cos(theta) = adjacent / hypotenuse.

Tangent (tan): The tangent of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the adjacent side. This can be written as tan(theta) = opposite / adjacent.

In triangle DEF, we have a right triangle at E, which means that angle DEF is a 90-degree angle. We are also given that angle DFE is 60 degrees, which means that angle EDF is 30 degrees (since the angles in a triangle add up to 180 degrees).

Let DF = x. Then, we can use the trigonometric ratios of the 30-60-90 degree triangle to solve for x

We know that the ratio of the sides in a 30-60-90 degree triangle is x : x√3 : 2x. Therefore, we have:

DE / DF = x√3 / x = √3

Simplifying this, we get:

x = DE / (√3) = 45 / (√3) = 15√3

Therefore, the length of segment DF is 15√3, which is answer choice C.

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The probability is 0.8427.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

Here we are total number of insurance agents = 89

And  number of insurance agents do own a handgun = 75

So we asked probability that a insurance agent will own a handgun  

Probability = no.of insurance agents/no.of insurance agents who owns a handgun

Probability = 75/89 = 0.8427

The probability that the agent will own a handgun is .84

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Hello!

the answer is 83/100!

Hopefully this helps ^^

Answer:

The Answer Will Be D

Step-by-step explanation:
The fuel economy of a car is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour.We need to find the fuel economy of the car when it travels at an average of 20 miles an hour.f(20) = -0.009(20)² +0.699(20) +12f(20) = -0.009(400) +13.98f(20) = 9.6The fuel economy of the car when it travels at an average of 20 miles an hour is 9.6 miles per gallon.Therefore, the answer is option D. 22.38 miles per gallon.