I'll give brainliest to who can answer this!

Answer:

Btm Left

Step-by-step explanation:

Answer:

D = 31

Step-by-step explanation:

Consider the equation showing the distributive property.

84 +93 = 3 (28+ D)

The unknown value we are asked to find is D

Hence:

84 + 93 = 84 + 3D

Collect like terms

84 - 84 + 93 = 3D

93 = 3D

D = 93/3

D = 31

Therefore, the unknown value that would make the equation true is 31

Step-by-step explanation:

please give me brainlest

The change in rate of length of shadow is 2.692 ft/sec.

Given,

Height of tall person =7 ft

Height of tall lamp post = 20 ft

Rate at which tall person walks = 5 ft/sec

Let,

Distance between tall person and lamp post be x ft

the length of shadow be y ft

From similar triangles,

\(\frac{x+y}{20}=\frac{y}{7}\\\\7(x+y)=20y\\\\7x+7y=20y\\\\13y=7x\\\\y=\frac{7x}{13}\)

Differentiating on both sides with respect to time 't'

\(\frac{dy}{dt}=\frac{7}{13}\frac{dx}{dt}\)

here, \(\frac{dx}{dt}\) is nothing but the change in distance between tall person and lamppost it means rate at which tall person walks=5 ft/sec

\(\frac{dy}{dt}=\frac{7}{13}*5\\\\\frac{dy}{dt}=\frac{35}{13}=2.692\ ft/sec\)

Thus, the change in rate of length of shadow is 2.692 ft/sec.

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The price of each plastic bead is $0.75 and the price of each metal bead is $1.25.

Let's assume the price of a plastic bead is 'p' dollars and the price of a metal bead is 'm' dollars.

We can create a system of equations based on the given information:

Equation 1: 7p + 5m = 7.25 (from the first bracelet)

Equation 2: 9p + 3m = 6.75 (from the second bracelet)

To solve this system of equations using elimination, we'll multiply Equation 1 by 3 and Equation 2 by 5 to make the coefficients of 'm' the same:

Multiplying Equation 1 by 3:

21p + 15m = 21.75

Multiplying Equation 2 by 5:

45p + 15m = 33.75

Now, subtract Equation 1 from Equation 2:

(45p + 15m) - (21p + 15m) = 33.75 - 21.75

Simplifying, we get:

24p = 12

Divide both sides by 24:

p = 0.5

Now, substitute the value of 'p' back into Equation 1 to find the value of 'm':

7(0.5) + 5m = 7.25

3.5 + 5m = 7.25

5m = 7.25 - 3.5

5m = 3.75

Divide both sides by 5:

m = 0.75

Therefore, the price of each plastic bead is $0.75 and the price of each metal bead is $1.25.

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Answer:

It would be cheaper.

Step-by-step explanation:

Cars are worth less the older they are, so Lisa could not have to borrow as much money. Also there would most likely be more parts around, so car insurance would be a bit less.

The total selling price before tax is $261.96.

The sales tax paid is $15.72.

The total cost is  $277.68.

The total selling price before tax is the sum of the prices of the WWE 2K21, Starbucks Vanilla Coffee,  new Keurig K550 and the jeans

$49.99 + $13.99 + $179.99 + $17.99 = $261.96.

Sales tax is the amount of money levied when a good or service is purchased. It is a percentage of the price of an item

Sales tax = tax rate x cost

6% x $261.96 = $15.72

The total price paid is the sum of the sales tax and the  total selling price.

$15.72 +  $261.96 = $277.68

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Answer:

Step-by-step explanation:

The graph for the linear function, g(x) = -x + 1 is shown in the image attached below.

If m represents the slope and b represents the y-intercept of a function, the equation that represents the linear function would be expressed as, y = mx + b

Slope (m) = rise/run = change in y/change in x.

Find the equation of function f:

Slope (m) of function f = rise/run = 2/1

Slope (m) = 2

y-intercept, b, for function f = the point on the y-axis that the line intercepts = -6.

Write the equation for function f by substituting m = 2 and b = -6 into f(x) = mx + b.

f(x) = 2x + (-6)

f(x) = 2x - 6

Given that, g(x) = -½f(x + 2), therefore:

g(x) = -½(2(x + 2) - 6)

g(x) = -½(2x + 4 - 6)

g(x) = -½(2x - 2)

g(x) = -x + 1

Thus, the graph for the linear function, g(x) = -x + 1 is shown in the image attached below.

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The horizontal distance between the base of the ladder and the wall is approximately 16.06 feet.

To find the flat distance between the foundation of the  stool and the wall, we utilize geometry. For this situation, we can utilize the sine capability, which relates the contrary side of a right triangle to the hypotenuse and the point inverse the contrary side.

Let x be the flat distance between the foundation of the stepping stool and the wall. Then, utilizing the given point of 64 degrees, we can compose:

sin(64) = inverse/hypotenuse

where the hypotenuse is the length of the stepping stool, which is 18 feet.

Addressing for the contrary side, which is the even distance we need to find, we get:

inverse = sin(64) x hypotenuse

inverse = sin(64) x 18

inverse = 16.06 feet

Accordingly, the even distance between the foundation of the stepping stool and the wall is roughly 16.06 feet.

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Answer:

Step-by-step explanation:

You want to know angles x, y, and z in the given figure where parallel lines 'a' and 'b' are crossed by a transversal. The sum of these angles is 290°.

Angles y and z are called consecutive interior angles. As such, they are supplementary, so their sum is 180°.

  x + y + z = 290°

  x + 180° = 290°

  x = 110°

Angles x and y are vertical angles, so are congruent.

  y = x = 110°

Then z is found from ...

  y + z = 180°

  110° + z = 180°

  z = 70°

The measures of x, y, and z are 110°, 110°, and 70°, respectively.

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Answer:

∠ 9 = 109°

Step-by-step explanation:

∠ 6 and ∠ 9 are alternate angles and congruent, thus

∠ 9 = ∠ 6 = 109°

Answer:

C

Step-by-step explanation:

The answer is c because 3/4 is between

 1/2 and 1 think about it like money/quarters

Answer:

\(\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=-\dfrac{2}{x+1}+\text{C}\)

Step-by-step explanation:

Fundamental Theorem of Calculus

\(\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))\)

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given integral:

\(\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x\)

Factor the denominator:

\(\begin{aligned}\implies x^2+2x+1 & = x^2+x+x+1\\& = x(x+1)+1(x+1)\\& = (x+1)(x+1)\\& = (x+1)^2\end{aligned}\)

\(\implies \displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=\int \dfrac{2}{(x+1)^2}\:\:\text{d}x\)

\(\textsf{Apply exponent rule} \quad \dfrac{1}{a^n}=a^{-n}\)

\(\implies \displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=\int 2(x+1)^{-2}\:\:\text{d}x\)

\(\boxed{\begin{minipage}{4 cm}\underline{Integrating $ax^n$}\\\\$\displaystyle \int ax^n\:\text{d}x=\dfrac{ax^{n+1}}{n+1}+\text{C}$\end{minipage}}\)

Use Integration by Substitution:

\(\textsf{Let }u=(x+1) \implies \dfrac{\text{d}u}{\text{d}x}=1 \implies \text{d}x=\text{d}u}\)

Therefore:

\(\begin{aligned}\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x & = \int 2(x+1)^{-2}\:\:\text{d}x\\\\& = \int 2u^{-2}\:\:\text{d}u\\\\& = \dfrac{2}{-1}u^{-2+1}+\text{C}\\\\& = -2u^{-1}+\text{C}\\\\& = -\dfrac{2}{u}+\text{C}\\\\& = -\dfrac{2}{x+1}+\text{C}\end{aligned}\)

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Answer:

Omg I remeber that wait  let me think

Step-by-step explanation:

Step-by-step explanation:

the third one is the nonlinear function

hope this helps

Answer:

x = 30 degrees

y = 70 degrees

Step-by-step explanation:

angle y is the bottom right angle yah?

Answer:

\(\Huge\boxed{x=50.3}\)

Step-by-step explanation:

Hello There!

Once again here are the Trigonometric Ratios

Sin = opposite divided by hypotenuse

Cos = adjacent divided by hypotenuse

Tan = opposite divided by adjacent

We need to find the measure of angle O

We are given the opposite side length (89) and the adjacent side length (74)

This corresponds with tangent so we are going to use tangent to solve for x

Now we create an equation: (remember tangent = opposite divided by adjacent)

\(tan(x)=\frac{89}{74} \\\frac{89}{74} =1.202702703\\\)

now we have

\(tan(x)=1.202702703\)

once again we want to isolate the variable (x)

To do so we need to get rid of tan by taking the inverse of tan (arctan^-1) and applying that to each side

\(arctan^-^1(tan(x))=x\\arctan^-^1(1.202702703)=50.25780917\)

finally we want to round to the nearest tenth

50.25

its a five so we raise the 2 to a 3

and we're left with

x = 50.3

Answer:

27.1

Step-by-step explanation:

Rounding off to the nearest tenths = the value should be written correctly to one decimal place. The tenth place value in a decimal number is the first number which comes first after the decimal point. For this, we need to observe the hundredth number (the number which comes second after the decimal point). If this number is greater than or equal to 5, we add 1 to the tenth value. If it is less than 5, we leave the tenth place value as it is, and remove all the numbers present after this number.

Answer:

Step-by-step explanation:

Use the info given in the exponential equation to find the value of b, the rate of decay.

\(v(t)=a(b)^t\) where v(t) is the value of the car after a certain number of years, t, have gone by, a is the initial value, and b is the rate of decay. We have everything we need but b:

a = 20000

v(t) = 16000 after t = 1 year:

\(16000=20000(b)^1\) so

b = .8  Taken in context, this means that the car depreciates 20% each year. Now we can solve the problem being asked of us, which is to find the value of the car after t = 5 years:

\(v(t)=20000(.8)^5\) which simplifies down a bit to

v(t) = 20000(.32768) so

v(t) = 6553.60, choice C.

The three possibilities that Damon can use as the common factor for equivalent expression are y(5xz + 3z + 2x), z(5xy + 3y + 2x) and  xy(5z + 3 + 2z).

To discover a common figure for 60xyz+36yz+24xy, we have to be discover the Greatest Common Factor (GCF) of the coefficients 60, 36, and 24, and the factors x, y, and z.

The GCF of the coefficients 60, 36, and 24 is 12. Able to calculate out 12 from each term:

60xyz+36yz+24xy = 12(5xyz + 3yz + 2xy)

Presently, we ought to discover a common calculate for the remaining components, 5xyz + 3yz + 2xy. Here are three conceivable outcomes:

Calculate out y:

5xyz + 3yz + 2xy = y(5xz + 3z + 2x)

Calculate out z:

5xyz + 3yz + 2xy = z(5xy + 3y + 2x)

Calculate out xy:

5xyz + 3yz + 2xy = xy(5z + 3 + 2z)

So, Damon may utilize any of these three conceivable outcomes as the common calculate for an proportionate expression.

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Answer:

The critical value Za /2 that corresponds to 98% confidence level is (d) 2.33

Step-by-step explanation:

To obtain the critical value Za/2 that corresponds to a 98% confidence level, we need to determine the value that leaves 2% (0.02) in the tails of the distribution.

Since the confidence level is two-tailed, we need to divide the significance level by 2 to find the area in each tail. In this case, we have 2% divided by 2, resulting in 1% (0.01) in each tail.

Looking up the critical value in a standard normal distribution table or using statistical software, we obtain that the closest value to 0.01 in the table is approximately 2.33.

Therefore, the correct answer is D. 2.33.

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Answer:

x = 9

y = 6

Step-by-step explanation:

Since, RS bisects AB,

5x - 9 = 5y + 6

5x - 5y - 9 = 6

5x - 5y = 6 + 9

5x - 5y = 15

x - y = 3 -------(1)

And RS = 36

Since, RS = RT + TS

(3y - 1) + (2y + 7) = 36

5y + 6 = 36

5y = 30

y = 6

From equation (1),

x - 6 = 3

x = 9

Answer:

Matt’s: 40 cm = 15.748 inches

Mindy’s: 40 in = 101.6 centimeters

Answer:

The volume is 40 cubed inches

Step-by-step explanation:

The prism that Matt built is 5 cm by 2 cm by 4 cm

5 ⋅ 2 ⋅ 4 = 40

The volume is 40 cubed centimeters

The prism that Mindy built is 5 in by 2 in by 4 in

5 ⋅ 2 ⋅ 4 = 40

The volume is 40 cubed inches

The number of people that attended the game in each cost category is Faculty: 7,000,Alumni: 18,000,Public: 18,000,Veterans: 4,000

To determine the number of people that attended the game in each cost category,  to consider the given information and set up a system of equations to solve for the unknowns. Let's break down the problem step by step.

Let's denote the number of people in each cost category as follows:

Faculty: F

Alumni: A

Public: P

Veterans: V

The number of alumni is 11,000 more than the faculty, so we have the equation:

A = F + 11,000

The number of public plus alumni together was 10 times the number of veterans, so  the equation:

P + A = 10V

The number of faculty plus alumni together was the same as the number of veterans, so we have the equation:

F + A = V

The total number of people attending the game is the sum of the people in each category, so  the equation:

F + A + P + V = 100,000

Now, use these equations to solve for the unknowns.

First, substitute equation 1 into equations 2 and 3:

P + (F + 11,000) = 10V

F + (F + 11,000) = V

Simplify these equations:

P + F + 11,000 = 10V

2F + 11,000 = V

Next, substitute these equations into equation 4:

F + (F + 11,000) + P + (2F + 11,000) = 100,000

Simplify and combine like terms:

4F + 22,000 + P = 100,000

Subtract 22,000 from both sides:

4F + P = 78,000

Now a system of two equations:

P + F + 11,000 = 10V

4F + P = 78,000

solve this system of equations to find the values of F, P, and V.

By solving the system,

F = 7,000

P = 18,000

V = 4,000

Finally, substitute these values back into equation 1 to find the value of A:

A = F + 11,000 = 7,000 + 11,000 = 18,000

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Given:

The depth, d , of a lake is 57 m, rounded to the nearest integer.

To find:

The error interval for d in the form a ≤ d < b.

Solution:

The depth, d , of a lake is 57 m, rounded to the nearest integer.

If the depths of the lake is 56.5m or greater than this up to 57 m, then the depth, d , of a lake is 57 m, rounded to the nearest integer.

\(56.5\leq d\leq 57\)             ...(i)

If the depths of the lake is 57m or greater than this up to 57.5 m but not 57.5 m, then the depth, d , of a lake is 57 m, rounded to the nearest integer.

\(57\leq d<57.5\)             ...(ii)

Using (i) and (ii), we get

\(56.5\leq d<57.5\)

Therefore, the error interval for d is \(56.5\leq d<57.5\).

Median for the given data 17, 2 ,7 is  12.

What is median?

The median is that the value that’s precisely within the middle of a dataset once it's ordered. It’s a live of central tendency that separates the bottom 50% from the very best 50% of values.

Main body :

First of all to find the median data should be arranged in ascending order.

Aranging data in ascending order

2, 5 , 7 , 7 , 8 , 8 , 10 , 10 , 14 , 15 , 17 , 18 , 24 , 27 , 28 , 48

Now there are even number of terms i. e 16

So,

M1 = n / 2 and M2 = ( n / 2 ) + 1

= 16 / 2 = 8 + 1

= 8th term = 9th term

M1 = 10 M2 = 14

Median, M = ( M1 + M2 ) / 2

= ( 10 + 14 ) / 2

= 24 / 2

= 12

Hence median of observation is 12.

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Answer:

17/25

Step-by-step explanation:

The required total score for 100% mark is given as 25.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Let the x be the be score for 100% marks.
68% of x = 17
x = 17 / 68%
x = 25

Thus, the required total score for 100% mark is given as 25.

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Step-by-step explanation:

Similar figures have same ratio of corresponding sides.

Set up ratios and solve for x.

#1

#2

#3

#4

Answer:

58.14 inches

Step-by-step explanation:

Pitagoras:

Diagonal² = length² + width²

Diagonal² = 44² + 38²

Diagonal² = 1936 + 1444

Diagonal² = 3380

√Diagonal² = √3380

Diagonal = 58.137 = 58.14inches