Please solve with explanation

Please Solve With Explanation

Answers

Answer 1
(7a^2 + 2a - 3)(4a^2 - 1) = 28a^4 +ma^3 - 19a^2 - 2a + 3
4a^2(7a^2 + 2a - 3) - 1(7a^2 + 2a - 3) = 28a^4 +ma^3 - 19a^2 - 2a + 3
28a^4 + 8a^3 - 12a^2 - 7a^2 - 2a + 3 = 28a^4 +ma^3 - 19a^2 - 2a + 3
28a^4 + 8a^3 - 19a^2 - 2a + 3 = 28a^4 +ma^3 - 19a^2 - 2a + 3

Cancel all the same terms

8a^3 = ma^3
Therefore, m = 8

Related Questions

There are 3 oranges, 8 peaches, and 4 apples in a fruit basket. David selected one piece of fruit at random. He was hungry and ate that fruit. He then selected a second piece of fruit. What is the probability that he selects two peaches?

Answers

Answer:

Probabilty[First and second fruit is peach without replacement] = 0.267 (Approx.)

Step-by-step explanation:

Given:

Number of oranges = 3

Number of peach = 8

Number of apple = 4

Find:

Probabilty[First and second fruit is peach without replacement]

Computation:

Probablity of an event = Number of favourable outcomes / Number of outcomes

Probabilty[First fruit is peach] = 8 / [3 + 8 + 4]

Probabilty[First fruit is peach] = 8 / 15

Probabilty[Second fruit is peach] = [8-1] / [3 + 8 + 4 - 1]

Probabilty[Second fruit is peach] = 7 / 14

Probabilty[Second fruit is peach] = 1 / 2

Probabilty[First and second fruit is peach without replacement] = Probabilty[First fruit is peach] x Probabilty[Second fruit is peach]

Probabilty[First and second fruit is peach without replacement] = [8/15][1/2]

Probabilty[First and second fruit is peach without replacement] = 8 / 30

Probabilty[First and second fruit is peach without replacement] = 0.267 (Approx.)

Find the area of each regular polygon

Answers

the area of the triangle is 15.15699 or 15.2

the pentagon consists of 10 of the triangles so the area is 151.5699 or 151.6

One batch of walnut muffins use 1 1/3 cups of walnuts.How many cups of walnuts are needed to 3 3/4 batches of muffins, answers are only 5 cups, 3 3/12 cups, 5 1/12 cups, and 4 cups, there are no 3 1/4 cups

Answers

Answer:

5 cups

Step-by-step explanation:

Let us set it up as a fraction.

[tex]\frac{\frac{11}{3}}{1}=3\frac{\frac{3}{4}}{x}[/tex]

Step 1: Divide the given values

[tex]\frac{11}{3}\div 1 \\\\=\frac{11}{3}[/tex]

Step 2: Multiply the result by the other value

[tex]3\frac{3}{4} \\\\3\frac{3}{4} \times \frac{11}{3}\\\\= 13\frac{1}{4}[/tex]

So, with this solution, the answer is [tex]13\frac{1}{4}[/tex]. However, the answer isn't included in the options provided, so that means the answer is 5 cups.

Jack can program an app in 3 hours. Chris can program the same app in 8 hours. How long would it take them to program the same app working together?

Answers

Answer:

2 2/11 hours

Step-by-step explanation:

Let the number of hours

Jack spent programming his app = J

Chris spent programming his app = C

Total hours if they worked together = T

Hence,

1/T = 1/3 + 1/8

Lowest Common Denominator = 34

1/T = 8 + 3/24

1/T = 11/24

Cross Multiply

T × 11 = 1 × 24

T = 24/11

T = 2 2/11 hours

Therefore, it would take them to program 2 2/11 hours to program the same app working together

help plzzzz i need to find the volume of the cone

Answers

Answer:

2h3-r5

Step-by-step explanation:

first 3-2=5

then 2h3-r=2h3-r5

finally 2h3-r5

Answer:

3.28653¯V7h

Step-by-step explanation:

x = 5, 3x + 10 = 25, 3x – 11 = 4 are example of: which equastion

Answers

Answer:

linear equations, i assume

Step-by-step explanation:

Please help! I will give brainliest to the first correct answer!

Answers

Answer:

A)

Step-by-step explanation:

check that the formula in A works . . .

the 7th term should be 320

a(320) = 5(2)^7-1

= 5(2)^6

= 5(64)

= 320

According to a recipe for purple paint, the ratio of milliliters of blue paint to milliliters of red paint in the mixture should be 20:4. Selena has 140 ml of blue paint. She wants to mix red paint to it to get the same shade as suggested by the recipe.

For every 1 ml of red paint, the recipe suggests adding [Drop Down 1] of blue paint. So, for
140 ml of blue paint the amount of red paint needed is [Drop Down 2].

Answers

Answer:

30ml

Step-by-step explanation:

R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the values of a and b?

Answers

Answer:

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Express the answer in [tex]a * 10^b[/tex]

From the question, we have:

[tex]People = 4.46 * 10^9[/tex]

[tex]Breath = 8.4 * 10^6[/tex] breath/person in a year

The number of breath is calculated by:

[tex]Overall = People * Breath[/tex]

So, we have:

[tex]Overall = 4.46 * 10^9 * 8.4 * 10^6[/tex]

Reorder

[tex]Overall = 4.46 * 8.4* 10^9 * 10^6[/tex]

[tex]Overall = 37.464* 10^{9+6}[/tex]

[tex]Overall = 37.464* 10^{15}[/tex]

Using scientific notation [tex]a * 10^b[/tex];

The value (a) must be in the following interval [tex]0 \le a \le 1[/tex]

So, we have:

[tex]Overall = 3.7464 * 10 * 10^{15[/tex]

[tex]Overall = 3.7464 * 10^{16[/tex]

By comparing the above with: [tex]a * 10^b[/tex]

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

What is the length of the missing leg?

Answers

Answer:

a = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = a

b = 8

c = 10

Step 2: Solve for a

Substitute in variables [Pythagorean Theorem]:                                            a² + 8² = 10²Evaluate exponents:                                                                                         a² + 64 = 100[Subtraction Property of Equality] Subtract 64 on both sides:                      a² = 36[Equality Property] Square root both sides:                                                    a = 6

A new 54 inch flatscreen TV cost $1245 at Best Buy. If Harry has a 15% off coupon what will he pay for the TV

Answers

Answer: 1,058

Step-by-step explanation:

Find the value of x.

Answers

Answer:

70.86 degrees

Step-by-step explanation:

cos x = adjacent side / hypotenuse

= 2/6.1 = 0.32787

x = 70.86.

Answer:

x ≈ 70.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{2}{6.1}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{2}{6.1}[/tex] ) ≈ 70.9° ( to 1 dec. place )

Select ALL of the expressions that are equivalent to 3(8-4x) A. (4x+ 8) + (4x+8) +( 4x+8) B. 24+12x C. -4x+24 D. 12x+24 E. - 12x-24

Answers

3(8 - 4x) is D

A. Should be 8 - 4x, not 8 + 4x

B. 3(8 - 4x) = 24 - 12x not 24 + 12x

C. Doesn’t make sense at all

D. 3(8 - 4x) = 24 - 12x Correct!

E. 3(8 - 4x) = 24 - 12x 24 shouldn’t be negative

Santiago buys a new television for $989.76. If
the sales tax rate is 8.75%, what is the total cost
of the television?

Answers

Answer:

$1076.36

Step-by-step explanation:

The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by                                                                       0.0875($989.76)

which can be combined to obtain the total cost:  (1.0875)($989.76) = $1076.36

What is the reciprocal function of sine?
A. Cosine
B. Cotangent
C. Cosecant
D. Secant

Answers

Answer: its a C

Step-by-step explanation: The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

Lynn spent $21.90 at A Hill of Beans. She bought 2 fruit smoothies at a
cost of $8.90. She bought 2 bear claws at $1.75 each. The rest of the
money was spent on 2 iced mochas. What is the cost of one iced
mocha?

Answers

Answer:

$0.3

Step-by-step explanation:

8.90x2=17.8

1.75x2=3.5

17.8+3.5=21.3

21.90-21.3=0.6

0.6/2=0.3

Answer is $0.3 hope this helps

If a function is defined by the equation y=-5x+1 and the domain is the set {-2,0,2,4},
which set below represents the range of the function?
(1) {11, 12, 13, 14}
(3) {-10, -1,9,19)
(2) {-19, -9,1,10)
(4) {51, 53, 55, 57)

Answers

A

Identify the input values.

Since there is an even root, exclude any real numbers that result in a negative number in the radicand

The solution(s) are the domain of the function.

Mark Me Brainest

Can someone help its math :)

Answers

Answer:

m<F = 53

Step-by-step explanation:

Exterior angles thm:

5x - 10 + 3x + 14 = 100

8x + 4 = 100

8x = 104

x = 13

m<F:

3x + 14

3(13) + 14

39 + 14

53

Evaluate (2x + 3) + ( x- 5) show answer pls

Answers

Step-by-step explanation:

2x +3 +x-5

3x+3+(-5)

3x +(-2)

x= -2÷3

x=-6

HOPE IT HELPED

Help pleaseee anyone??

Answers

It 's c my friend

okayyyyyyyyyyyyyyy

Hi! The answer would be C!

Paul ran 12 miles in 1 hour and 36 minutes. What was Paul's average rate, in minutes per mile?

Answers

Answer:

8 miles per minute

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

8 minutes per mile

Need help thanks please :)

Answers

Answer:

t:

[tex] \infty , - \infty [/tex]

meaning any number can substitute t and it would be the same answer.

The dot plot shows how many cats are owned by each person in a neighborhood: Dot plot titled Neighborhood Cats and labeled Number of Cats shows number line from 1 to 10. There are 6 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, 0 dots over 5, 6, 7, 8, and 9, and 1 dot over 10. Is the median or the mean a better measure of center for these data and why

Answers

Answer:

Median, because the data are skewed and there is an outlier

Step-by-step explanation:

yo hoped it helped

HELP DUE IN 15 MINS!
Write the equation of a circle that has a center of (-3, 4) and goes through the point (2, 1).

Answers

Answer:

Step-by-step explanation:

You can find the left side of the equation for a circle easily enough. It's r^2 that's the problem. It is on the right.

Left Side

(x + 3)^2 + (y - 4)^2 = r^2

Right Side.

x1 = - 3

x2 = 2

y1 = 4

y2 = 1

Use the distance formula to get r^2

r^2 = (x2 - x1)^2 + (y2 - y1)^2

r^2 = (2 - - 3)^2 + (1 - 4)^2

r^2 = 5^2 + (-3)^2

r^2 = 25 + 9

r^2 = 34

Answer

(x + 3)^2 + (y - 4)^2 = 34

I need help

An amount of $16,000 is borrowed for 8 years at 7.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?

Answers

Answer:

$28009.05

Step-by-step explanation:

Let us use the formula A = P(1 + r/n)^(nt)

Step 1: Convert 7.25 to decimal

[tex]7.25\% = 0.0725[/tex] in decimal form

Step 1: Percent means 'per 100'. So, 7.25% means 7.25 per 100 or simply 7.25 over 100. [tex]7.25 \div 100\\\\= \frac{7.25}{100}\\\\= 0.0725[/tex] If you divide 7.25 by 100, you'll get 0.0725 (a decimal number).

Step 2: Solve with the formula

[tex]A = 16000(1 + 0.0725)^8\\\\A= 28009.05[/tex]

Step 1: Add the numbers: [tex]1+0.0725=1.0725[/tex][tex]=16000\cdot \:1.0725^8[/tex][tex]=16000\cdot \:1.75056[/tex]Step2: Multiply[tex]=28009.05068[/tex]

Can someone please help me?
What is the length of the side
between point A and point B?
I
15 ft A
18 ft
B.
9 ft
27 ft

Answers

Answer:

195 answer.plus minus plus minus plus minus

Please solve this for me!

4c + 36 divided by 3 + 4(1 + 2) if c = 5

Answers

Answer:4 or 3.70

Step-by-step explanation:

well if c = 5 you should 1st do 4 x 5= 20 + 36 and that equals 56

now do (1+2)=3 x 4 =12 + 3 =15

now not sure what ur answers are but i got either 4 or 3.70

Good Luck!!!

does anyone understand this?

Answers

Answer:

Hello! answer: 80

Step-by-step explanation:

When doing the Pythagorean theorem you do...

a^2+b^2=c^2 which is just A multiplied byitself + B multiplied byitself that will equal the number that C multiplied by itself would equal then you just figure out what multiplied byitself equals that number and thats the answer so...

64 × 64 = 4096 48 × 48 = 2304

4096 + 2304 = 6400 80 × 80 = 6400 therefore c = 80 hope that helps!

Answer:

c = 80 inches

Step-by-step explanation:

The length of the hypotenuse can be found by using the following formula in which "c" is the length of the hypotenuse, and "a" and "b" are the legs of the right angles triangle.

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

[tex]c= \sqrt{64^{2} + 48^{2} } \\c= \sqrt{4096 + 2304} \\c = \sqrt{6400} \\c = 80 inches[/tex]

1/2 divided by 4 =__

Answers

Answer: 0.125
1/2 dived by 4 = 0.125

Answer:

1/2 divided by 4 = 1/8 or 0.125

Step-by-step explanation:

1/2 divided by 4

(1/2) ÷ 4

= 1/2 × 1/4

= 1/8 or 0.125

Mi papá quiere comprar una camioneta que cuesta $373,990. Tiene que dar de enganche el 28%. ¿Cuánto es lo que tiene que pagar?

Answers

Answer:

i don't speak spanish sorry

Step-by-step explanation:

Answer:

104,717

Step-by-step explanation:

multiplica 373990 por 28% es .28

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