-8-2(6-5x) = 5(2x+3) what is the solution for this question? I need the answer right now

Answer:

11.3 miles

Step-by-step explanation:

We can use the pythagorean theorem to find the distance from his home to work, since the 3 roads form a right triangle where the new road is the hypotenuse.

a² + b² = c²

8² + 8² = c²

128 = c²

= approx. 11.3 miles

The distance between his home and his work of place is 11.31 miles.

Given,

A man drove 8 miles directly east from his home, made a left turn at an intersection, and then traveled 8 miles due north to his place of work.

A road was made directly from his home to his place of work.

We need to find what would its distance be in miles,

We have,

                 North

West   <----- ⇅ ------->           East

                 South

In a right triangle,

The square of the hypotenuse is equal to the sum of the square of the other two sides.

Find the direction of the given statement.

A man drove 8 miles directly east from his home:

              8 miles

Home ------------------->East

Made a left turn at an intersection, and then traveled 8 miles due north to his place of work:

             North         Work

                 ⇅              Left

                                ⇅ 8 miles

Home ------------------->East

                                ⇅

                               Right

If a road was made directly from his home to his place of work:

                                                        Work

Home                       North          

West   <------------------⇅ --------------->East

                               South

                                          A  (Work)

                                     /   ║

                              /          ║                              

                       /                 ║ 8 miles

                  /                      ║  

(Home) B /___________║C

                      8 miles

Find the distance between home and place of work.

AB = distance between home from work

Applying the Pythagorean theorem.

AB² = BC² + AC²

AB² = 8² + 8²

AB² = 64 + 64

AB² = 128

AB = ±√128

The distance can never be negative here so,

√128 = 11.31

AB = 11.31 miles.

Thus the distance between his home and his work of place is 11.31 miles.

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Answer:

What do you need help with?

Step-by-step explanation:

You didn't put a question

Answer:

x+1.85 = 5.30

Step-by-step explanation:

The runner on first has distance from second of  90 -25t, where t is the time in seconds since he left 1st base.

The runner on second has a distance from second of  15t, where t is the time in seconds since he left 2nd base

Then the Pythagorean theorem tells us the distance between the runners is :

d = √((90 -25t)² +(15t)²)

The rate of change of distance between the runners is the derivative of this with respect to time.

dd/dt = 2(90-25t)(-25)+2(15t)(15) / (2sqrt(90-25t)^2 + 15t^2)

Replace t with 2 and solve to get: -31

The distance between runners is decreasing at 31 ft/s two second after they leave the bases.

The range of the repairs to the cars is 241.

The sample variance is 11, 671.33

The sample standard deviation would be 108.03.

Range = Maximum repair cost - Minimum repair cost

= 456 - 215

= 241

Find mean :

= (422 + 456 + 401 + 215) / 4

= 373. 5

Sample variance :

= Sum of ( each repair cost - mean ) ² / (Number of cars - 1)

= ( 2, 340.25 + 6, 812.25 + 756.25 + 25, 105.25 ) / ( 4 - 1 )

= 11, 671. 33

Sample standard deviation:

= √sample variance

= √11, 671. 33

= 108. 03

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Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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Answer:

statistic

Step-by-step explanation:

because its calculated

Answer:

parameter

Step-by-step explanation:

i got 100

In light of the query we've got Here's a circle whose center is at and whose radius is 15 units (0,0) The x-coordinate becomes 9 or -9 whereas if Y coordinate is 12.

The distance between a circle's center and circumference is known as the radius. Always, the diameter is twice the radius. As a result, the ratio is created by multiplying the diameter by two.

According to the formula we get

\(x^2\) + \((y - 0)^2\) = \(15^2\)

Substituting the given values:

\(x^2\)+ \((12 - 0)^2 = 15^2\)

\(x^2\) + 144 = 225

\(x^2\)= 81

x = ±9

Therefore the x-coordinate will be 9 or -9.

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Answer:

(c) The x and y coordinates are switched

Step-by-step explanation:

Given

\(Point = (4,-1.5)\)

See attachment

Required

Determine the error in the plot

The plot on the attached graph is represented with: \((-1.5, 4)\)

This implies that Raj plotted the x coordinate on the y coordinate and vice versa.

Hence: (c) is true

Answer:

The answer is C. or The x- and y-coordinates are switched.

Step-by-step explanation:

I got this right on edge 2020!!!

Please give brainliest!!!

hope this helps!!!

Answer:

8

Step-by-step explanation:

The square of a number square rooted is the number itself.

Answer:

90 cm3

Step-by-step explanation:

You multiply 2 by 5 which is 10, then by 9 and get 90 cm3

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Types of shifting.

1.) Shift up, down, right and/or left - Translation

2.) A flip over line - Reflection

3.) A turn over a point - Rotation.

4.) A change in size - Dilation

Answer:

1.) Shift up, down, right and/or left - Translation

2.) A flip over line - Reflection

3.) A turn over a point - Rotation.

4.) A change in size - Dilation

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.

The given trinomial is x²-8x+16.

Factors of 16           Sum of factors

-1 and -16               -1+(-16)=-17

-2 and -8                  -2+(-8)=-10

-4 and -4                  -4+(-4)=-8

The set of factors would used to factor the trinomial are -4 and -4.

Therefore, option C is the correct answer.

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Answer:

Step-by-step explanation:

y = mx + b

b is the y intercept and occurs where x = 0. One of our select points has an x value of 0, therefore b = 8

m is the slope and is found as the change in y over the change in x

m = Δy/Δx = (8 - 3) / (0 - (-2)) = 5/2

y = 5x/2 + 8

The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

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Answer:

Step-by-step explanation:

The given data is expressed as

1204, 1206, 1345, 1306, 1207, 1078, 1357, 1232, 1228, 1302, 1189, 1177, 1083, 1094, 1326, 1071, 1427, 1348, 1420, 1253, 1270

The number of items in the data, n is 21. The lowest value is 1071 while the highest value is 1427. The convenient starting point would be 1070.5 and the convenient ending point would be 1427.5

The number of class intervals is

√n = √21 = 4.5

Approximately 5

The width of each class interval is

(1427.5 - 1070.5)/5 = 72

The end of each class interval would be

1070.5 + 72 = 1142.5

1142.5 + 72 = 1214.5

1214.5 + 72 = 1286.5

1286.5 + 72 = 1358.5

1358.5 + 72 = 1430.5

The frequency for the fifth class, that is between 1358.5 to 1430.5 would be 2

Answer:

\(\Huge \bold{\boxed{\boxed{\text{5\%}}}}\)

Step-by-step explanation:

To calculate the margin of error for the survey, we need to use the formula:

\(\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}\)

The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:

\(\large \text{Range of values = 32\% - 22\% = 10\%}\)

Substituting this value into the formula, we get:

\(\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}\)

Therefore, the margin of error on the survey is 5%.

\( \qquad\qquad\huge\underline{\boxed{\sf Answer}} \)

The correct way to write the name of a ray is :

\( \large \tt Problem\:\: 1 \)

\( \large \tt Problem \:\:2 \)

\( \large \tt Problem \:\:3 \)

The Correct choice is C

Ray has one end point and continues forever on the other side.

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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The number of tickets which should be sold to $24 and $40 are 4500 and 1500 respectively.

Given, A 6000-seat theater has tickets for sale at $24 and $40.

How many tickets should be sold at each price for a sellout performance to generate a total revenue of $168,000 = ?

first, assign variables:

X = # of $24 tickets,  Y = # or $40 tickets

write equations based on the data presented:

"6000 seat theater..."

   X + Y = 6000 ...equation 1

"total revenue of 168,000"

The revenue from each type of ticket is the cost times the number sold, so:

  24X + 40Y = 168,000 .....equation 2

from equation 1:

   X = 6000 - Y

substitute this into equation 2:   (replace X with 6000-Y)

   24 (6000 - Y) + 40Y = 168,000

expand:

144,000 -24Y + 40Y = 168,000

rearrange and simplify:

    16Y = 168,000 - 144,000

    y = 24000/16

     Y = 1500

from equation 1:

     X = 6000 - 1500

     X = 4500

hence the number of tickets for sale at $24 should be 4500.

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Answer:

0.350  (3 d.p.)

Step-by-step explanation:

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

Let P(A) = probability that the student is a freshman

Let P(B) = probability that the student owns a credit card

Use the given table to calculate the probability that the student is a freshman:

\(\implies \sf P(A)=\dfrac{60}{100}=0.6\)

And the probability that the student is a freshman and owns a credit card:

\(\implies \sf P(A \cap B)=\dfrac{21}{100}=0.21\)

To find the probability that the student owns a credit card given that the they are a freshman, use the conditional probability formula:

Conditional Probability Formula

The probability of B given A is:

\(\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}\)

Substitute the found values into the formula:

\(\implies \sf P(B|A)=\dfrac{0.21}{0.6}=0.35\)

Therefore, the probability that the student owns a credit card given that they are a freshman is 0.35

Answer:

\(a. \:\:3x^3 + 4x\:\:R1\)

Step by step explanation:

Hope it helps you in your learning process.

Have a great day ahead.

The quotient and remainder for the last row of the synthetic division 3, 0, 4, 0, 1 are 3x³ + 4x, and 1 respectively.

The option representing this is, a. 3x³ + 4x R1.

Synthetic division is a short method of dividing a polynomial p(x) by another polynomial (x - c), to get the quotient and remainder.

The last row represents the quotient and remainder, the last digit being the remainder, and the others being the quotient multiplied by leading powers of x, starting from x⁰, starting from the second last term of the last row.

In the question, we are given the last row of a synthetic division as 3, 0, 4, 0, 1, and we are asked to find the quotient of the division.

The last number, 1 represents the remainder and can be written as R1.

Now we move from the back to the front and multiply every number with the leading power of x, starting from x⁰.

Therefore, the quotient and remainder for the last row of the synthetic division 3, 0, 4, 0, 1 are 3x³ + 4x, and 1 respectively.

The option representing this is, a. 3x³ + 4x R1.

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Answer:

B po

Step-by-step explanation:

Kase interquartile range po yan

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

A: 4 hours

Step-by-step explanation:

Its easier then it may look!

32 m(iles) diveded by 8mph (miles per hour)

= 4 h(ours)

Let me know if its correct or not!^^

If not, I'm sorry!

Answer:

B.......

Step-by-step explanation:

you can check ✔️

this sol this answer