Please Help!!

Write in exponential form.

Answer:

-13

Step-by-step explanation:

a^2 + 3ab - b^2?

Plug in a=3 and b= -2

a^2 + 3ab - b^2

=  (3)^2 + 3(3)(-2) - (-2)^2

= 9 - 18 - 4

= -13

Value of expression [tex]a^{2} +3ab-b^{2}[/tex] is -13.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

Given

[tex]a =3 \ and \ b= -2[/tex]

Value of expression [tex]a^{2} +3ab-b^{2}[/tex]

= [tex]3^{2} +3 \times 3 \times (-2 )- (-2)^{2}[/tex]

= [tex]9-18-4[/tex]

= [tex]-13[/tex]

Value of expression [tex]a^{2} +3ab-b^{2}[/tex] is -13.

Find out more information about expression here

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4/10 or 2/5

Hope this helps!

Great Question!

First, 0.4 Is The Same Thing As 0.4/1

Next, Do 0.4/1 Multiplied By 10 And That Equals 4/10.

Finally, Simplify 2/5

In Conclusion, 0.4 Converted To A Fraction Is 2/5

Answer:

The corresponding sides are in proportion. so they are similar triangles.

The similarity statement is: Triangle ALB ~ Triangle EBR

Similarity statement:

Triangle ALB ~ Triangle EBR

Justification:

Two triangles are similar if they have the same shape, but different sizes. This means that the corresponding angles of the two triangles are equal, and the corresponding sides are proportional.

In the given image, we can see that the two triangles have the same shape. The corresponding angles are also equal:

Angle ALB = Angle EBR

Angle LAB = Angle EBE

Angle BAL = Angle BRE

To show that the corresponding sides are proportional, we can calculate the ratios of the corresponding sides:

AL/EB = 13/5 = 2.6

AB/ER = 15/36 = 5/12 = 0.417

BL/BR = 12/39 = 4/13 = 0.308

We can see that the ratios of the corresponding sides are all equal to 2.6. This means that the corresponding sides are proportional, and therefore the two triangles are similar.

Therefore, the similarity statement is: Triangle ALB ~ Triangle EBR

For such more question on Triangle

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Answer:

Cross Multiply.

Step-by-step explanation:

Multiply the denominator (3) of one side and the numerator (n).

Then, multiply the numerator (2) of on side and the denominator (4) of the other.

3n = 8

You divide both sides by 3 to have n be by itself, equaling ~2.6 or 8/3.

The width of the rectangle is 4 cm, found by dividing the area of the square (36 cm^2) by the length of the rectangle (9 cm).

To solve the problem we need to first understand two main concepts; the area of a square and the area of a rectangle. The area of a square can be found by squaring the length of one of its sides, which can be described with the formula A = a^2 where a is the side length of the square. Since the perimeter of the square is 24 cm, each side is 24 cm / 4 = 6 cm. Therefore, the area of the square is 6 cm * 6 cm = 36 cm^2.

The area of a rectangle is calculated by the formula A = length * width. We are given that the length is 9 cm and that the area of the rectangle is equal to that of the square, which we found to be 36 cm^2. To find the width, we divide the area by the length: 36 cm^2 / 9 cm = 4 cm. Thus, the width of the rectangle is 4 cm.

Answer:

[tex]\large\boxed{f(x)=x^2+16x+60}[/tex]

Step-by-step explanation:

The factored form of a quadratic function:

[tex]f(x)=ax^2+bx+c=a(x-x_1)(x-x_2)[/tex]

x₁, x₂ - the zeros

We have x₁ = -10 and x₂ = -6.

Substitute:

[tex]f(x)=(x-(-10))(x-(-6))=(x+10)(x+6)[/tex]

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex]f(x)=(x)(x)+(x)(6)+(10)(x)+(10)(6)\\\\f(x)=x^2+6x+10x+60\\\\f(x)=x^2+16x+60[/tex]

Answer:

Its A on edge

Step-by-step explanation:

Answer:

The dog will catch the cat at  33.33 sec

Step-by-step explanation:

Let

x------> distance the cat runs before being caught by the dog,

Remember that

The speed is equal to divide the distance by the time

v=d/t

solve for t

t=d/v

so

equate the time

x/24=(200+x)/30

30x=24(200+x)

30x=4,800+24x

30x-24x=4,800

x=4,800/6=800 m

t=d/v=800/24=33.33 sec

or

t=(800+200)/30=1,000/30=33.33 sec

Answer:

3.(703)

Step-by-step explanation:

Answer:

Supplementary Angles are two angles the sum of whose measures is 180º. Supplementary angles can be placed so they form a linear pair (straight line), or they may be two separate angles.

Answer:

b) ∠4 and ∠3

c) ∠4 and ∠5

e) ∠3 and ∠6

Answer:

A = True

B = False

C = true

Step-by-step explanation:

Alternate interior angles I believe

344676 I hope that helps

Answer:

Franchise has 11 quarters and 16 dimes.

Step-by-step explanation:

Let d represent number of dimes and q represent number of quarters.

We have been given that the number of dimes is five more than the number of quarters. We can represent this information in an equation as:

[tex]d=q+5...(1)[/tex]

We are also told that Francine has $4.35 in dimes and quarters. We can represent this information in an equation as:

[tex]0.10d+0.25q=4.35...(2)[/tex]

Now, we will substitution method to solve linear equations. Upon substituting equation (1) in equation (2), we will get:

[tex]0.10(q+5)+0.25q=4.35[/tex]

[tex]0.10q+0.50+0.25q=4.35[/tex]

[tex]0.35q+0.50=4.35[/tex]

[tex]0.35q+0.50-0.50=4.35-0.50[/tex]

[tex]0.35q=3.85[/tex]

[tex]\frac{0.35q}{0.35}=\frac{3.85}{0.35}[/tex]

[tex]q=11[/tex]

Therefore, Franchise has 11 quarters.

Upon substituting [tex]q=11[/tex] in equation (1), we will get:

[tex]d=11+5[/tex]

[tex]d=16[/tex]

Therefore, Franchise has 16 dimes.

Answer:

x = 11

Step-by-step explanation:

distribute: 4x - 28 = 27 - x

add x to both sides: 5x - 28 = 27

add 28 to both sides: 5x = 55

divide 5 to both sides: x = 11

The answer for this math equation is x = 40 or just 40

Step-by-step explanation: You just need to solve this problem in the normal algebraic equation format, applying the rules too.

2x + 20 = 100

2x + 20 - 20 = 100 - 20

2x = 80

2x/2 = 80/2

x = 40

Step 1: Bring 20 to the right side of the equation by subtracting 20 to both sides (subtraction is the opposite of addition and will cancel 20 from the left side and bring it over to the right)

2x + (20 - 20) = 100 - 20

2x + 0 = 80

2x = 80

Step 2: To isolate x divide 2 to both sides (division is the opposite of multiplication and will cancel 2 from the left side and bring it over to the right)

2x ÷ 2 = 80 ÷ 2

x = 40

Check (plug in 40 for x and solve it like normal):

2(40) + 20 = 100

80 + 20 = 100

100 = 100 --------------------------------------> Correct!

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

12 feet

Step-by-step explanation:

The length of the ladder is 13 ft

The base of the ladder is 5 ft away from the wall

The height(h) the ladder reaches from the bottom of the wall is:

Applying the Pythagorean theorem;

h = [tex]\sqrt{13^2 - 5^2}[/tex] = 12 ft

Answer: 6

Remember: 0.3 repeated = [tex]\frac{1}{3}[/tex]

[tex]3 \frac{2}{3} + 2 \frac{1}{3} = 5\frac{3}{3}\\\\5\frac{3}{3} = 6[/tex]

Answer:

6

Step-by-step explanation:

2.333... = 7/3

3 and 2/3 = 11/3

7/3 + 11/3 = 18/3 = 6

Answer:

Emily has a 1 in 9 chance of rolling an odd number for all 3 rolls

Step-by-step explanation:

If there are three odd numbers, you’d simply multiply one sixth three times. One sixth because the dice has six sides and three times because there are three possibilities of getting an odd number

Answer: Apple Juice

Step-by-step explanation: Right of the bat we know 40 out of 80 is 50%. This is already less then the 68% we are given, so therefore it can't be mango jelly. 0.475 would be made into a percent of 47.5%. We know that the fraction would be 475 over 1000, so we need to move the decimal point once to the left for each number, giving us the percent above. 68% is greater than 47.5, making Apple juice the winned

Apple juice good luck

:) Hope this helps you to your question

The term that best describes the distribution is uniform.

The distribution shown in the image appears to be uniform. The bars are relatively similar in height, indicating that all outcomes are equally likely or nearly so.

A distribution where most of the data points are concentrated on the right, with the tail extending to the left is said to be skewed. While A distribution where most of the data points are concentrated on the left, with the tail extending to the right is said to be skewed right. A symmetrical, bell-shaped distribution where most data points are concentrated around the mean, with fewer points as you move away from the center. is said to be normal.

Therefore, the term uniform best describes the given distribution in the image.

[tex]340 \times \frac{14}{100} = 47.6[/tex]

To find the amount budgeted for tithe on a weekly salary of $340 with a 14% allowance for tithe, multiply the salary by the percentage. The amount budgeted for tithe is $47.60.

To find the amount budgeted for tithe on a weekly salary of $340 with a 14% allowance for tithe, multiply the salary by the percentage. First, convert 14% to decimal form by dividing it by 100: 14% / 100 = 0.14. Then, calculate the amount by multiplying $340 by 0.14: $340 * 0.14 = $47.60.

Answer:

$381.25

Step-by-step explanation:

15.25*25=381.25

$381.25

you have to multiply $15.25 by 25

Answer:

$1,497.05

Step-by-step explanation:

Brett had 2 hrs OT his first week which would be (40 hr × 18.95 )+ (18.95 ×3) add the total to (36×18.95).

Answer:

24

Step-by-step explanation:

132 pupils are represented by 11 parts of the ratio

Dividing 132 by 11 gives the value of one part of the ratio

132 ÷ 11 = 12 ← value of 1 part of the ratio, hence

2 parts = 2 × 12 = 24 ← number of teachers on trip

Answer:

24

Step-by-step:

132/11 (132 divide by 11)

=12

12*2 (12multiply by 2)

=24

Answer:

B

Step-by-step explanation:

1 | 1   2   - 3   2

        1      3    0

   --------------------

   1    3    0    2 ← remainder

Answer:

The remainder is 2

Option B is correct          

Step-by-step explanation:

Given the synthetic division problem

we have to solve the problem

The steps are  

Step 1: Set up the synthetic division.

Step 2:  Put down the leading coefficient to bottom row.

Step 3: Multiply divisor which is on left by the value just written on the bottom row.

Step 5:  Repeat the above steps.

The synthetic division is shown in attachment.

The remainder is 2

Option B is correct

The answer is:

To graph a piecewise function, we need to graph each of the function that compounds the principal function (piecewise function) for the given values of the domain.

So,

For the first function, we have:

[tex]f(x)=y=3x-5\\\\y=3x-5[/tex]

We have that it's a positive slope line with y-intercept at -5, so, calculating the x-intercept we have by making y equal to 0, we have:

[tex]y=3x-5[/tex]

[tex]0=3x-5[/tex]

[tex]x=\frac{5}{3}=1.67[/tex]

Also, we have the domain for the function:

[tex]y=3x-5\leq -1[/tex]

Which domain is coming from the negative infinite to -1:

Domain: (-∞, -1]

Hence, we have that the function has a positive slope, intercepts the y-axis at (0,-5) and the x-axis at (1.67,0), also, it exists from -∞ to -1.

- For the second function, we have:

[tex]f(x)=y=-2x+3\\\\y=-2x+3[/tex]

We have that it's a negative slope line with y-intercept at 3, so, calculating the x-intercept we have by making y equal to 0, we have:

[tex]y=-2x+3[/tex]

[tex]0=-2x+3[/tex]

[tex]x=\frac{3}{2}[/tex]

Also, we have the domain for the function:

[tex]-2x+3, -1<x<4[/tex]

Which domain is coming from the negative infinite to -1:

Domain: (-1,4)

Hence, we have that the function has a negative slope, intercepts the y-axis at (0,3) and the x-axis at (1.5,0), also, it exists from (-1 to 4)

- For the third function, we have:

[tex]y=2[/tex]

We have that it's a horizontal line, existing from 4.

The domain for the function will be:

[tex]2,x\geq 4[/tex]

or:

Domain: [4,∞)

- Graphing:

First function: Green line

Second function:  Black line

Third function: Red line

Note: I have attached two pictures for better understanding, in the first picture we can see the functions that compound the piecewise function without the domain conditions, in the second picture we can see the functions with the domain conditions given by the piecewise function.

Have a nice day!

a) 240 cows

b)80 cows

c) 8 days

Answer:

1) 240 cows.

2) 80 cows.

3) 8 days.

Step-by-step explanation:

1) To find the number of cows that could be fed for 4 days, you need to substitute [tex]x=4[/tex] into the equation, then:

[tex]y=\frac{960}{x}\\\\y=\frac{960}{4}\\\\y=240[/tex]

2) To find the number of cows that could be fed for 12 days, you need to substitute [tex]x=12[/tex] into the equation, then:

[tex]y=\frac{960}{x}\\\\y=\frac{960}{12}\\\\y=80[/tex]

3) Farmer Bill has two feed his 85 cows and 35 cows of his neighbors, then the total number of cows he needs to feed is:

 [tex]y=85+35\\y=120[/tex]

Substitute this value into the equation and solve for "x" to find the number of days he could feed them:

[tex]120=\frac{960}{x}\\\\120x=960\\\\x=\frac{960}{120}\\\\x=8[/tex]

The equation would be h = 25 + m

^^^The reason this is the equation is because the amount of time it takes to do the homework is the 25 min of reading AND the m of completing math problems

Insert 20 in for m and solve for h

h = 20 + 25

h = 45

Insert 25 in for m and solve for h

h = 25 + 25

h = 50

Hope this helped!

~Just a girl in love with Shawn Mendes

It’s your pay after taxes and other expenses.

Answer:Net pay is the amount of pay remaining for issuance to an employee after deductions have been taken from the individual's gross pay. This is the amount paid to each employee on payday.

Step-by-step explanation:

hope it helps!

Answer:

height is 5 units

Step-by-step explanation:

We are required to determine the height of a triangle that has an area of 30 square units and a base measuring 12 units.

The formula for the area of a triangle is given as;

[tex]Area=\frac{1}{2}*base*height[/tex]

We plug in the given values and solve for the height;

[tex]30=\frac{1}{2}*12*height\\\\30=6*height\\height=5[/tex]

Answer:

5 units^2

Step-by-step explanation:

Answer:

The height of this cone is

[tex]\displaystyle \frac{25}{4}[/tex],

which is the same as 6.25 in decimals.

Step-by-step explanation:

Consider the formula for the volume [tex]V[/tex] of a cone:

[tex]\displaystyle V = \frac{1}{3} \pi\cdot r^{2}\cdot h[/tex],

where

For this cone,

Rearrange the equation to find the height of this cone.

[tex]\displaystyle V = \frac{1}{3} \pi\cdot r^{2}\cdot h[/tex],

[tex]3\;V = \pi \cdot r^{2}\cdot h[/tex],

[tex]\displaystyle \frac{3\;V}{\pi\cdot r^{2}} = h[/tex].

Therefore,

[tex]h = \displaystyle \frac{3\;V}{\pi\cdot r^{2}} = \frac{3\times 300\;\pi}{{12}^{2}\; \pi} = \frac{25}{4} = 6.25[/tex].