Mr. Harrison grades his test on a scale of 1 to 10. The dot plots below show the grades for his first test and the last test of the year. Pic below What is the difference between the means of the scores for the two tests?

Answer:

305

Step-by-step explanation:

52 customers per day * 5 days per week

260 currently

Now add the 9 per day to find you new goal

52+9 = 61 per day

61 *5 = 30

305 per week is your goal

Answer:

Step-by-step explanation:

download math photo it will give you free answers

Answer:

ΔABC is similar to ΔCDE

Step-by-step explanation:

Statement                               Reason

DE ║AB                                  Given

∠CDE ≅ ∠CAB                      Corresponding Angles Theorem

∠C ≅ ∠C                                Reflexive property of congruence

ΔABC is similar to ΔCDE      AA postulate

The Corresponding Angles Theorem states: If two parallel lines (DE and AB) are cut by a transversal (CA), then the pairs of corresponding angles are congruent (∠CDE and ∠CAB).

Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself (∠C is congruent to itself).

Angle Angle (AA) postulate states that two triangles are similar if they have two corresponding angles congruent (∠CDE ≅ ∠CAB and ∠C ≅ ∠C)

Answer:

B. y = 3x

Step-by-step explanation:

Since the y-axis is going up by 6's and the x-axis is going up by 2's, we can see that we would need to multiply the x-axis values by 3 to get our y-values. Therefore, our linear equation for this graph is y = 3x.

Answer:

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Step-by-step explanation:

Step(i):-

Given  cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b)  [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]

Step(ii):-

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]

[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

Step(iii):-

General solution of  cos x = cos ∝  is  x = 2 nπ+∝

we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

The general solution of  [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is

⇒  [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]

⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]

 [tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]

final answer:-

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Answer:

35 (b)

Step-by-step explanation:

Area of a triangle = (height times base)/2

Height = 5

Base = 14

14 times 5 = 70

70/2 = 35

Answer:

it was b ) 35 units

Step-by-step explanation:

cuz 5*14 you got 70

then when is a triangle you have to do 70 divide by half

so you will got you answer which is b)35 units

hope it helps

Answer:

Option C.

Step-by-step explanation:

Note: x is missing in the second equation.

The given equations are

[tex]4x-7y=-12[/tex]

[tex]-2x+6y=11[/tex]

It can we written as

[tex]\left[\left.\begin{matrix}4 & -7\\ -2 & 6\end{matrix}\right|\begin{matrix}-12\\ 11\end{matrix}\right][/tex]

Divide row 1 be 4.

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ -2 & 6\end{matrix}\right|\begin{matrix}-3\\ 11\end{matrix}\right][/tex]

Applying [tex]R_2\to R_2+2R_1[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & \dfrac{5}{2}\end{matrix}\right|\begin{matrix}-3\\ 5\end{matrix}\right][/tex]

Applying [tex]R_2\to \dfrac{2}{5}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & 1\end{matrix}\right|\begin{matrix}-3\\ 2\end{matrix}\right][/tex]

Applying [tex]R_1\to R_1+\dfrac{7}{4}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & 0\\ 0 & 1\end{matrix}\right|\begin{matrix}\dfrac{1}{2}\\ 2\end{matrix}\right][/tex]

Since [tex]x=\dfrac{1}{2}\text{ and }y=2[/tex], therefore required ordered pair is [tex](\dfrac{1}{2},2)[/tex].

Hence, option C is correct.

Answer:

B

Step-by-step explanation:

Use FOIL method

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

Simplify to get 15 x^{2} -6x+15x-6  

Combine like terms to get 15x^2+9x-6

quadratic funcntion

quadratic term: 15x^2  

linear term: 9x

constant: -6

(sorry this was late I had other work and I didn't see this until now)

please mark me brainliest!

Answer:

(z - 5)3

Step-by-step explanation:

Since we are following the directions strictly, we must subtract 5 from z first.

z - 5

Then we multiply the ENTIRE thing by 3

3(z - 5)

Answer:

(z-5)3 or (z-5)*3

Step-by-step explanation:

Use Pedmas. I am sorry I am not good a explaining but that is the answer.

Answer:

Here it is given that f(x)=3x and g(x)=1/x

We have to find the domain of (g o f)(x)

Now it is given that f(x) = 3x

and it is also given that g(x) = 1/x

so (g o f)(x) = g( f(x) ) = g( 3x )

which comes out to be 1 / 3x

The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.

The domain of a function is the set of input values the function can take.

The domain of the function is (b).all real numbers except x = 0

The functions are given as:

[tex]\mathbf{f(x) = 3x}[/tex]

[tex]\mathbf{g(x) = \frac 1x}[/tex]

Calculate (gºf)(x) as follows:

[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]

So, we have:

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]

Substitute 3x for f(x)

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]

For the above function to have a real value, the value of  x must not be 0.

Hence, the domain of the function is (b).

Read more about domains at:

https://brainly.com/question/14494061

Answer:

f(x)=5x^2-4x+5

Step-by-step explanation:

A quadratic function always has a squared symbol (represented by ^2). The first answer is a linear function, the second answer is a linear function (squaring 0 results in 0, therefore it is canceled out), the third answer has ^2 (this is correct), and the fourth answer has a ^3 (this is a cube function; not quadratic)

Answer:

It is indeed C. f(x) = 5x2 – 4x + 5

Step-by-step explanation:

If this Question is on Edg, then it is C!

Answer: ? = 264

Step-by-step explanation:

Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:

y = 120 + 18(x)

Replacing and solving for y (number of cookies)

y = 120 + 18(8)

y = 120+144 = 264  cookies

The missing value in the table is⇒ ? = 264

Feel free to ask for more if needed or if you did not understand something.

Answer:

answer is 264

Step-by-step explanation:

Answer: x = 47

Step-by-step explanation: When you're asked to solve for x in an equation, what you're really being asked to do is get x by itself on one side of the equation.

In this problem since 15 is being added to x, in order to get x by itself,

we must subtract 15 from the left side of the equation.

If we subtract 15 from the left side, we must also subtract 15 from

the right side of the equation to keep the equation balanced.

So we have x = 47.

Answer:

[tex]y=-6[/tex].

Step-by-step explanation:

If a horizontal line passing through a point (a,b), then the equation of horizontal line is [tex]y=b[/tex] .

In the given question, it is clear that the horizontal line passing through the point (4,-6).

Here, [tex]a = 4[/tex] and [tex]b = -6[/tex].

Since, the equation of horizontal line is [tex]y=b[/tex] , therefore the required equation is

[tex]y=-6[/tex]

Hence, the equation of horizontal line is [tex]y=-6[/tex].

Answer:

2205/17576

Step-by-step explanation:

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

Return the card

26 cards

5 vowels , 21 consonants

P ( vowel) = vowel/total= 5/26

Return the card

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26

2205/17576

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Yes, he has enough money.

Step-by-step explanation:

I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.

Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.

13/0.75 = 18.67 = 18 weeks

Take the number of weeks times the number of calories per week

18 x 600 = 10800

Take this number divided by 200 calories per hour to find the total number of hours.

10800/200 = 54 hours

Take this number times the amount of money per hour.

54 x 6 = 324     This number is less than 360

Answer:

2.8

Step-by-step explanation:

√(-√2-1)²+(0-√2)²

Answer:

The standard form of this slope-intercept form is x + 4y = 16.

Answer:

x + 4y =16

Step-by-step explanation:

[tex]y= \frac{-1}{4}x+4[/tex]

Multiply by 4

[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]

4y = -x + 16

x + 4y =16

Answer:

x + y + z = 40

2x + 3y + 3z = 110

x + y + 2z = 50

Step-by-step explanation:

let

x = photograph

y = painting

z = neckless

the first part reads that jada sells 1 photograph, 1 painting, and 1 neckless. this written in a mathematical formula will be x + y + z = 40

the second part reads that jada sold 2 photographs, 3 paintings, 3 necklaces. This written as a mathematical formula will be 2x + 3y + 3z = 110

the third part reads that jada sold 1 photograph, 1 painting, and 2 necklaces. this written in a mathematical formulawill be x + y + 2z = 50

Answer: Angle A to the nearest degree = 50°

Step-by-step explanation:

Given the triangle ABC:

Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.

cosine of A

Using Pythagoras rule :

Cos A = Adjacent / Hypotenuse

Cos A = 267 / 391

Cos A = 0.6828644

Taking the cos inverse of angle A

A = Cos^-1 (0.6828644)

A = 46.932111°

A = 50°

Answer:

47°

Step-by-step explanation:

Answer:225

Step-by-step explanation:

Answer: Y = 3 × 2^x

Step-by-step explanation:

Let assume that the equation of the exponential function represented by the table is

Y = 3(2)^x

When x = 0

Substitute x for 0. Then,

Y = 3 × 2^0

Anything raised to power of zero is equal to one.

Y = 3 × 1 = 3

When x = 1

Repeat the process

Y = 3(2)^1

Y = 3 × 2 = 6

When x = 2

Y = 3(2)^2

Y = 3 × 4 = 12

And finally, when x = 3

Y = 3(2)^x

Substitute x for 3

Y = 3 × 2^3

Y = 3 × 8

Y = 24.

We can therefore conclude that the equation of the exponential function represented by the table above is

Y = 3 × 2^x

Subtract the percent of getting odd from 100 percent.

100 - 62 = 38%

Answer:

P ( not win) =  (m-l) / m

Step-by-step explanation:

If there are m tickets and l are winners

m-l are not winners

P( not winning) = non winners/ total

                              (m-l) / m

Answer:

Step-by-step explanation:

P ( not win) =  (m-l) / m

Answer:

[tex]-4m^5n[/tex]

Step-by-step explanation:

∛-64 = -4

[tex]\sqrt[3]{m^{15}} =m^5[/tex]

∛n³ = n

Answer:

-4m⁵n

Step-by-step explanation:

(see attached)

Answer:

[tex]b^y=M[/tex]

Step-by-step explanation:

By definition of logarithms:

[tex]b^y=M[/tex]

Answer:

[tex]b^y=M[/tex]

Step-by-step explanation:

Recall the definition of logarithms: [tex]log_{b}M=y[/tex], where [tex]b^y=M[/tex].

The answer would be [tex]b^y=M[/tex].

For some examples, consider:

[tex]log_{2}8=y[/tex]. In other words: (b=2 and M=8), [tex]2^y=8[/tex]. Thus, [tex]y=3[/tex]. So:

[tex]log_{2}8=3[/tex]; [tex]2^3=8[/tex]

Answer:

Step-by-step explanation:

6j + 7 = 21 - j

Add 'j' to both sides

6j + 7 + j = 21 - j +j

7j + 7 = 21

Subtract 7 form both sides

7j + 7 - 7 = 21 - 7

7j  = 14

Divide both sides by 7

7j/7 = 14/7

j = 2

Answer:

j = 2

Step-by-step explanation:

6j + 7 = 21 - j

6j + j = 21 - 7

7j = 14

j = 14/7

j = 2

Answer:

4:1

Step-by-step explanation:

If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².

The measure of each individual angle will be of 90°

A quadrilateral is a 2D figure which has 4 sides.

According to the given question a square is dilated by a factor of 2.

Suppose the side of the original square was x cm.

∴ We know the area of he square will be side² which is

= (x)²

= x².

Now the square is dilated by a factor of 2.

∴ Side of the new square will be 2x and the area of the new square will be (2x)² which is 4x².

But the measure of each individual angle will be same and they are all of 90°.

learn more about quadrilateral here :

https://brainly.com/question/13805601

#SPJ2

Answer: B: 9.6 x 10 7 km

Step-by-step explanation: