HELP!!! Solve each equation:
8x=23; x = ?
112=2x; x = ?
5x=27; x = ?
14x=5; x= ?
15=23x; x = ?

The answer is 6.8%

Step-by-step explanation:

To turn .068 into a percentage, we divide it by 100:

.068/100 = 6.8

Another way to do it is by moving the decimal point to the right 2 times:

.068-0.68-06.8

Then drop the zero to get your answer.

Hope this helps!!!

The percentage value of 0.068 is 6.8%.

The number which is valued from 1 to 100 is said to be a percentage. It is denoted by the symbol '%'. A number that consists of two parts, a whole number, and an integer is said to be a decimal number. To convert the decimal number into a percentage, multiply the decimal value by 100. Because the formula is given by 1% = 100.

The given number is 0.068.

We know that 1% is equal to 100 parts.

Multiply the number by 100 to get,

0.068 x 100 = 6.8 %

Therefore, the percentage value of 0.068 is 6.8%.

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Answer:

CD= 9

Step-by-step explanation:

AD and CD are the same length. The length of AD is 9. So the length of CD will also be 9. I hope that helps.

Given:

The parent sine function is \(f(x)=x^2\).

It shifts three units to the left and four units down.

To find:

The new function.

Solution:

The translation is defined as

\(f_1(x)=f(x+a)+b\)                .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Graph shifts 3 units to the left. So, a=3.

Graph shifts 4 units down. So, b=-4.

Putting a=3 and b=-4, we get

\(f_1(x)=f(x+3)-4\)

\(f_1(x)=(x+3)^2-4\)          \([\because f(x)=x^2]\)

Here, new function is also defined by f(x). So, \(f(x)=(x+3)^2-4\).

Therefore, the correct option is d.

The given statement: n(n+1)(2n+1) is divisible by 6 for all positive integers n.

Step-by-step explanation: We need to prove that n(n+1)(2n+1) is divisible by 6 for all positive integers n using mathematical induction.

Step 1: First, lets prove the statement for the smallest possible value of n. The smallest value of n is 1. So, let's check whether the given statement is true for n = 1 or not.

\(LHS = 1(1+1)(2*1+1) = 6\)

It is divisible by 6. Hence, the statement is true for n=1.

Step 2: Let's assume that the statement is true for n=k. So, we can say that n(n+1)(2n+1) is divisible by 6 for n=k. i.e., n(n+1)(2n+1) = 6a (for some integer a).

Step 3: We need to prove the statement is true for n=k+1.

So, we need to prove that (k+1){(k+1)+1}[2(k+1)+1] is divisible by 6

Using the assumption we made in step 2.

\(LHS = (k+1){(k+2)}[2k+3] = (k+1)(k+2)(2k+3)LHS = (2k+3)k(k+1)(k+2)LHS = 2[k(k+1)(k+2)] + 3[k(k+1)]\)

Now, k(k+1)(k+2) is divisible by 6 using the assumption made in step 2.

So, LHS = 2[k(k+1)(k+2)] + 3[k(k+1)] is also divisible by 6.

Hence, the statement is true for n=k+1.

Step 4: Using steps 1 to 3, we can say that the given statement is true for n=1 and if it is true for n=k, then it is also true for n=k+1.

Hence, by mathematical induction, we can say that the statement is true for all positive integers n.

Hence, it is proved that n(n+1)(2n+1) is divisible by 6 for all positive integers n.

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Answer:

its c

Step-by-step explanation:

Answer:

28y + 63 (second option)

Step-by-step explanation:

7(4y + 9)

7 x 4y (28y)

7 x 9 (63)

you would multiply 7 and 4y to get 28y and then multiply 7 and 9 to get 63 and you would add the plus sign to get the full answer which is 28y+63

The solution of the equations is x = 7 and y =- 10. The value of x and y will satisfy the given equations.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

Given equations are  

2x + y = 4 ......(i)

3x + 2y = 1 ....(ii)

There are various methods to solve of equations.

To solve the equations, use the elimination method:

Multiply equation (i) by 2 and then subtract it from (ii):

3x + 2y = 1

4x + 2y = 8

(-)  (-)       (-)

_________

-x           = -7

x = 7

Putting x = 7  in equation (i):

2×7 + y = 4

14 + y = 4

y = 4 - 14

y = -10

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Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

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Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The sum of two supplementary angles is always 180. 180 - 173 is 7, so the measure of the missing angle is 7.

The bias score, which is also known as the mean squared error, is a measure of the difference between the predicted values and the actual values.

A bias score of 0.8 means that, on average, the model's predictions are off by 0.8. This could indicate that the model is biased, but it is difficult to say without more context. There are many factors that can contribute to a model being biased, including the quality of the training data and the complexity of the model. It is important to carefully evaluate the bias score and other performance metrics when assessing the effectiveness of a model.

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Answer:

245

Step-by-step explanation:

This is a ratio

7/10 = 70% = the kids who picked summer which leaves off as 30% for an unknown season

    7 : 10

245 : 350

The 7 is how many students chose summer, and the 10 is the number of students there are in general

The 245 is the number of students who chose summer, and the 350 is the number of students there are in general

All we had to do was see how many times 10 goes into 350, which is 35 times. So we multiply 10 by 35 and we get 350. Now whatever we do on one side, we need to do it to the other. So 7 times 35 gives us 245. And that's how I know that out of the 350 students there are in total, 245 of them chose summer.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

hope this helps you out good luck with your math

Answer:

2(x-3x) + 3

value of X and M is x and -3x respectively

Step-by-step explanation:

you can factor out the 2 from the 2x -6x and gets the 2(x-3x) while n is the constant that remains the value of 3

I hope this helps

Answer:

m = - 3, n = - 6

Step-by-step explanation:

Expand and compare coefficients of like terms, that is

(x + m)² + n

= x² + 2mx + m² + n

Compare to x² - 6x + 3

comparing coefficients of x- term

2m = - 6 ( divide both sides by 2 )

m = - 3

Comparing constant terms

m² + n = 3 , that is

(- 3)² + n = 3

9 + n = 3 ( subtract 9 from both sides )

n = - 6

The probability of event A (sum of the dice is 888) is 0.

The probability of event B (Eitan rolls doubles) is 1/4 or 0.25.

The probability of events A and B occurring simultaneously (intersection) is 0.

Events A and B are independent since the occurrence or non-occurrence of one event does not affect the probability of the other event.

Probability of event A (sum of the dice is 888):

To calculate the probability of event A, we first need to determine the number of favorable outcomes (outcomes that satisfy event A) and the total number of possible outcomes.

In this case, the sum of the dice cannot be 888 because the maximum possible sum is 6 (from the six-sided die) + 4 (from the four-sided die) = 10. Therefore, the probability of event A is 0.

Mathematically, P(A) = 0, where P denotes the probability and A represents the event.

Probability of event B (Eitan rolls doubles):

For event B, we want to find the probability of rolling doubles, where both dice show the same number.

On a six-sided die, there are six possible outcomes, each with an equal probability of 1/6. Similarly, on a four-sided die, there are four possible outcomes, each with an equal probability of 1/4.

To calculate the probability of rolling doubles, we need to find the number of favorable outcomes and divide it by the total number of outcomes.

Since there are six numbers on the six-sided die and four numbers on the four-sided die, there are 6 × 4 = 24 total outcomes.

Out of these 24 outcomes, there are six favorable outcomes: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6).

Therefore, the probability of event B is 6/24, which simplifies to 1/4 or 0.25.

Mathematically, P(B) = 1/4 or 0.25, where P denotes the probability and B represents the event.

Probability of events A and B (sum of the dice is 888 and Eitan rolls doubles):

To calculate the probability of the intersection of events A and B (A and B occurring simultaneously), we multiply their individual probabilities, P(A) and P(B), since both events need to happen together.

Since the probability of event A is 0, multiplying it by the probability of event B yields 0. Therefore, P(A and B) = 0.

Mathematically, P(A and B) = 0, where P denotes the probability and A and B represent the events.

Independence of events A and B:

Two events are considered independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.

In this scenario, since the probability of event A is 0 and the probability of event B is 0.25, we can see that the probability of event B is not affected by the occurrence or non-occurrence of event A.

Therefore, events A and B are independent.

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Answer:

\(Sin~30^o=\frac{LJ}{8\sqrt{2} }\)

\(8\sqrt{2} (Sin~30^o)=LJ\)

\(LJ=4\sqrt{2}\)

\(Sin~45^o=\frac{x}{4\sqrt{2} }\)

\(4\sqrt{2}(Sin~45)=x\)

\(x=4\) ✓

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

hope it helps...

have a great day!!

Answer:

64 cm^2

Step-by-step explanation:

First we find the area of the central square: 4^2=16 cm^2

Then we can find the area of the 4 other triangles: 6*4*1/2*(4)->(There are 4 triangles)

We get 48+16, which is 64 cm^2

The mass of the solid is 7π/2 units.

The task is to calculate the mass of the solid.

Step-by-step solution: The solid occupies the region between the unit sphere at the origin and a sphere of radius 2 with the center at the origin. The spherical coordinates in 3D space are (r,θ,φ), where:r = radius, θ = polar angle, φ = azimuthal angle.

The equations of the given sphere are r=1 for the unit sphere and r=2 for the second sphere.

Using spherical coordinates, the solid can be defined as 1≤r≤2, 0≤θ≤2π, 0≤φ≤π.

The density is equal to the distance from the origin, i.e. ρ = r.

The mass of the solid is given by the triple integral ρ dV taken over the solid, where dV is the volume element in spherical coordinates.dV = r²sin φ dφdθdr

The limits for the triple integral are: 0 ≤ θ ≤ 2π, 0 ≤ φ ≤ π, and 1 ≤ r ≤ 2.M = ∭ρ dV = ∭r(r²sin φ) dφdθdr= ∫[0,2π]∫[0,π]∫[1,2] r³sin φ drdφdθ= ∫[0,2π]∫[0,π] -cos φ [r⁴/4]₁ ₂ drdφdθ= ∫[0,2π]∫[0,π] 7/4 cos φ dφdθ= ∫[0,2π] 7sin φ/4 ]₀  π dθ= 14π/4= 7π/2 units.

The mass of the solid is 7π/2 units.

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Answer:

d² = l² + w² ,

Step-by-step explanation:

You can use the Pythagorean theorem to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w² , and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √(l² + w²) .

Answer: 5(x+3)(x-2)

Step-by-step explanation:

just read closely and pay attention in class.

Answer:6

Step-by-step explanation:

Subtract the three 1 point shots

Subtract the four 3 point shots

You are left with 12, and you split that in 2 because they're 2 point shots.

Answer:

15 inches

Step-by-step explanation:

The shortcut for finding the side lengths on a 30°-60°-90° triangle is that the long leg is

the short leg × √3.

So for your question:

5√3 × √3

= 5 × √3 × √3

= 5 × 3

= 15

Just in case it comes up next, the other shortcut is that the hypotenuse is double the short leg. Hypotenuse =

2 × 5√3 = 10√3

Answer:

not simplified

The center of the circle with the equation ( x - 5 )² + ( y + 5 )² = 5 is (5,-5).

The standard form equation of a circle with center (h, k) and radius r is:

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the center of the circle, and r is the radius.

Given the equation of the circle:

( x - 5 )² + ( y + 5 )² = 5

Comparing the given equation with the standard form (x - h)² + (y - k)² = r², we see that the center of the circle is at the point (h, k), which corresponds to the values inside the parentheses. So we have:

h = 5

k - 5

This means that the center of the circle is at the point (5, -5).

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Answer:

8

Step-by-step explanation:

That'd be "2/1 divided by 1/4" and if we use common denominators we get:

   2      8

 ----- = -----             divided by 1/4      comes out to 8/1, or just 8

    1       4

Answer:

Step-by-step explanation:

3x12=36inches in 1yard

5 yards= 5(36) =180 inches

The expression representing the number of points Avery scored in terms of the number of points Jim scored is 2j - 10.

Let's assume that Jim scored 'j' points during the game. According to the given information, when Jim doubles his number of points and subtracts 10 from that number, the result is the same as the number of points Avery scored. Therefore, we can write an equation as follows:

2j - 10 = number of points scored by Avery

To find the expression representing the number of points Avery scored in terms of the number of points Jim scored, we simply solve the above equation for Avery's points:

number of points scored by Avery = 2j - 10

Therefore, the expression representing the number of points Avery scored in terms of the number of points Jim scored is 2j - 10.

In summary, Jim scored 'j' points during the game and when he doubles his number of points and subtracts 10 from that number, he gets the same result as the number of points Avery scored.

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Answer:

56 foot

Step-by-step explanation:

5.6inches =4foot

what about 40foot

=40foot *5.6/4foot

= 56 foot

Answer:

shajjababhnamajnahahshssb

Answer:

\( \frac{1 \\ }{3125} \)

Answer:

x = 9

Step-by-step explanation:

        \(\sf \dfrac{a^m}{a^n}=a^{m-n}\\\\\\ \dfrac{1}{a^m}=a^{-m}\)

\(\sf \dfrac{5^x}{5^{14}}=\dfrac{1}{5^5}\\\\5^{x -14} = 5^{-5}\)

Base are same. Compare the exponents.

 x - 14 = -5

        x = -5 + 14    {Addition property of equality}

        x = 9

Answer:

  (-5x +y +1)(5x -y +1)

Step-by-step explanation:

You want the factored form of 1-25x²+10xy-y².

We recognize the last three terms as those of a perfect square trinomial:

  25x² -10xy +y² = (5x -y)²

Using this form for the last three terms, we see the given expression is the difference of squares. It can be factored as such.

  1 -(5x -y)² = (1 -(5x -y)(1 +5x -y)

  = (-5x +y +1)(5x -y +1)

__

Additional comment

The forms we used here are ...

  (a -b)² = a² -2ab +b²

  a² -b² = (a -b)(a +b)

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