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By using distributive property, [tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

In order to quickly solve equations, a number is distributed across the integers in the brackets. When using the distributive property of multiplication, for instance, to resolve the expression 4(2 + 4), we would do so as follows: 4(2 + 4) = (4 × 2) + (4 × 4) = 8 + 16 = 24.

We have,

[tex]-3\left(7x^{2}+3x\right)[/tex]

Using Distributive Property, A(B+C) = AB+AC

[tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]

Hence, [tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]

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Answer:

x=1

Step-by-step explanation:

3x−1+2=4

Add −1 and 2 to get 1.

3x+1=4

Subtract 1 from both sides.

3x=4−1

Subtract 1 from 4 to get 3.

3x=3

Divide both sides by 3.

x=

3

3

​

Divide 3 by 3 to get 1.

x=1

Answer:

10

Step-by-step explanation:

486-466 = 20

1/2 x 20 = 10

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Answer:

an expression that equals 10

Step-by-step explanation:

486 - 466 = 20

1/2 of 20 is 10

You don't list choices.

You need an expression that equals 10.

We are 90%sure that the interval (0.6036, 0.5963) contains the true population proportion.

Given that, n=550 (Sample size, Number of trials), p=0.6 (Sample proportion) and 1−α=0.9 (Confidence level).

The confidence interval is one of the most used for estimating population parameters in statistics. It is common to perform an interval with a known confidence level to find a range of values that show us information about the population.

Using the standard error of the sample proportions [tex]ME=z_{\alpha /2}.\sqrt{\frac{p(1-p)}{n} }[/tex]

[tex]=z_{0.9/2}.\sqrt{\frac{0.6(1-0.6)}{550} }[/tex]

[tex]=z_{0.45}.\sqrt{\frac{0.6(0.4)}{550} }[/tex]

= 0.1736 × √(0.24/550)

= 0.1736 × 0.0208

= 0.00361

Confidence interval = 0.6±0.00361

= (0.6+0.00361, 0.6-0.00361)

= (0.6036, 0.5963)

Therefore, we are 90%sure that the interval (0.6036, 0.5963) contains the true population proportion.

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Answer:

Dennis needs to sell 54 more

Step-by-step explanation:

[tex]5 \div 6 \times 2100 = 1750[/tex]

Answer:

hello!

Step-by-step explanation:

firstly lets convert the mixed fraction into a single fraction itself

thats 5/4

if each rope contributes to 5/4 meters then a rope with 8 pieces would be 5/4 x 8 which gives you the answer 10

Answer:

Perimeter

P = 24.2

Step-by-step explanation:

Perimeter

P = 9 + √(6^2 + 6^2) + √(3^2 + 6^2) = 24.2

when the minute hand rotated through 1260° time will became 5:30 PM

Complete angle:-

                             A complete angle is a type of angle that measures 360°.A complete angle deals with one full rotation measuring 360°.

      In an hour or in 60 minute, minute hand covers a 360° angle.

   According to question,

                              initially it is 2:00PM,that is minute hand at 12 and hour hand at 2

       it is given that minute hand has rotated through 1260°

                        1260° = 3 x 360° + 180°

                                                             which means minute hand will have three complete rotation and one half rotation.

            when minute hand rotated through 360° angle then hour hand will move from 2 to 3.

              And again in second rotation, when minute hand rotated through 360° angle then hour hand will move from 3 to 4.

             Again in third rotation, when minute hand rotated through 360° angle then hour hand will move from 4 to 5.

           As of now, minute hand have taken three complete rotation and so hour hand reached at 5

                 Now, when minute hand rotated through 180° (one half rotation),minute hand will reach at 6 from 12.

           So, right now the position of hour hand is between 5 and 6 and the position of minute hand at 6.

            hence,  time will be 5:30 PM

                            Option A is correct

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Answer:

-5 1/3

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

A negative times a negative is a positive. So your answer will be positive.

When multiplying a whole number times a fraction, you multiply the whole (big) number times the top number (numerator) and just keep the bottom number (denominator) the same.

5 × 1/3

Is 5×1 on TOP and just keep the 3 on the bottom.

(5×1)/3

5/3

5/3 is the best answer, but if you are being asked for a "mixed number" then 5/3 is the same as 1 2/3.

Answer:

Step-by-step explanation:

The distance between two points is represented by the following equation;

Therefore, if the endpoints of WX are (-5,-1) and X(2,6):

Answer: 7.3 < 12

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

2 x 7 = 14

Number should be in between 26 and 31

So,

14 x 2 = 28

28 has one of its prime factors as 2 and 7.

Hence,

28 is the number which is in between 26 and 31 it has the prime factors of 2 and 7.

Answer:

Step-by-step explanation: Given prime factors: 2, 7

 By multiplying, 2 X 7= 14

 Given, number is between 26 and 31

       therefore, 14 X 2= 28 (since 2 is a prime factor)

        ans: 28

Answer:

1. How much did the 2 lb of the first type of candy cost the owner?

2x

2. How much did the 3 lb of the second type of candy cost the owner?

3*1.5 = 4.5

3. How much did the two types of candy cost the store owner in total?

2x + 4.5

4. How much money will the store owner get if she sells all of the new mixture?

(2 + 3)*2.5 = 12.5

5. Write an equation to find the cost per pound of the first candy

2x + 4.5 = 12.5

6. Solve the equation to find the owners cost of the first candy per pound

2x + 4.5 = 12.5

2x = 8

x = 4

The value of the given monomial, -8[tex]m^{4}n^{4}[/tex], when m = 0.5 and n = 2 is -8.

According to the question,

We have the following monomial:

-8[tex]m^{4} n^{4}[/tex]

We have m = 0.5 and n = 2.

Now, putting these values of m and n in the monomial:

-8 [tex](0.5)^{4} (2)^{4}[/tex]

(Please note that when a power is there on a number then it means that to solve the expression we have to multiply the base as many times as the given power. For example, in this case, we will multiply 2 four times and the result will be 16. This concept is applicable to every expression we are solving whether the base is in decimal or in fraction or a integer.)

-8*0.0625*16

-128*0.0625

-8

Hence, the value of the given monomial is -8.

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[tex] = 9( - 6 + 8i) - 3i( - 6 + 8i) \\ = - 54 + 72i + 15i - 24 {i}^{2} \\ = - 54 + 87i - 24 {i}^{2} [/tex]

ATTACHED IS THE SOLUTION

The probability that x is less than or equal to 38 is 0.9861.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 38

μ = mean = 5

σ = standard deviation = 15

z-score = (38 - 5) / 15

z-score = 33 / 15

z-score = 2.2

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score =  2.2

probability = 0.9861

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The total mass of sugar used is 1.7 kg.

The mass of sugar he has left is 0.3 kg.

In mathematics, a fraction is a numerical value that represents a portion of a whole. The entire can be any number, a specific value, or an item. Fractions are written as p/q.

Given:

Total mass of sugar Mr tan has = 2 kg

Fraction of sugar used to make dessert = 1/4 kg

Fraction of sugar used to bake some cakes = 3/5 kg

The total mass of sugar used is calculated as,

= Mass of sugar used to make dessert + Mass of sugar used to bake some cakes

Mass of sugar used to make dessert = (1/4 of 2) kg = 1/2 kg

Mass of sugar used to bake some cakes = (3/5 of 2) kg = 6/5 kg

Total mass of sugar used = (1/2 + 6/5) kg = 17/10 = 1.7 kg

Mass of sugar left =  Total mass of sugar - Total mass of sugar used

                             = 2 kg - 1.7 kg  = 0.3 kg

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The approximate height of the door is 84in

A rectangle is a polygon with 4 sides and 4 right angles.

It has 2 lines of symmetry and one of that lines is called a diagonal.

Rectangles are cut into two to form right angled triangles.

The rectangle is divided into two right angled triangles

with a diagonal of 94 inches, base = 42 inches.

The height of the rectangle, the base and the diagonal form a right angled triangle.

By Pythagoras,

[tex](94)^{2}[/tex] = [tex](42)^{2}[/tex] + [tex](height)^{2}[/tex]

8836 = 1764 + [tex](height)^{2}[/tex]

[tex](height)^{2}[/tex] = 8836 - 1764 = 7072

height = [tex]\sqrt{7072}[/tex] = 84 inches

In conclusion, the height of the rectangular door is 84 inches approximately.

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Answer: B is the answer to the question

Step-by-step explanation:

The exponents' best option will be determined by

a + b's value is seven.

How often a number is multiplied by itself is indicated by the exponent.

For instance

In this case, 2 is multiplied by 4

Now in ( m times)

The base is designated as a, and the power is designated as m.

There are some indexing laws.

[tex]1)a^m \times a^n = a^{m+n}\\2)\frac{a^m}{a^n} = a^{m-n}\\3) (a^m)^n = a^{mn}\\4) (ab)^m = a^mb^m\\5) a^0 = 1\\6) a^{-m} = (\frac{1}{a})^m[/tex]

Here,

[tex](2^a)(2^b) = 128\\[/tex]

[tex]2^{a+b} =2^7[/tex] [According to laws of indices]

[tex]a + b = 7[/tex]

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Complete Question

If [tex](2^a)(2^b) = 128\\[/tex], then a  + b is equal to?

Answer:

D

Step-by-step explanation:

(-4^2) = 16 not -16

since,

you cant raise a number to an even power and get a negative value

Answer:

(-3,6)----> (0,5)

(9,-8)----> (6,-9)

Step-by-step explanation:

The translation T(3,-1) shows that we need to add three units to the x-coordinates and -1 unit to the y-coordinates, as follows in the answer above.

omg what is the......................

The number of times the value 1.5 exceeds the value 0.15 is 10, which is obtained by dividing both values.

We divide a by b to find how many times greater a number is than b; thus, to calculate how many times greater a number is, we use a division operation.

To determine how many times greater a number is than b, we compare them, i.e. divide them.

As an example:

50/10 = 5, indicating that 50 is five times greater than ten.

We must determine how many times the value 1.5 is greater than the value 0.15.

For this , let us divide 1.5 by 0.15

Number of times the value is greater = 1.5/0/15

                                                              = 10

Therefore, the number of times the value 1.5 is greater than the value 0.15 is 10.

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Answer:

0

Step-by-step explanation:

use a calculator =)

or

[tex]\sqrt[3]{125} = 5\\\sqrt{25} = 5\\ so , 5 - 5 = 0[/tex]

The formula for calculating simple interest is expressed as

I = PRT

where

I represents the interest

P represents the principal or initial amount invested

R represents the interest rate

T represents the time in years

From the information given,

P = 11750

R = 7.5%

Recall, percentage is expressed in terms of 100. Thus,

R = 7.5/100 = 0.075

T = 3

By substituting these values into the formula,

I = 11750 x 0.075 x 3

I = 2643.75

Total interest = 2643.75 rupees

Total amount = principal + total interest

By substituting the values,

Total amount = 11750 + 2643.75

Total amount =

Answer: 11750 + 2643.75

Step-by-step explanation:

The formula for calculating simple interest is expressed as

I = PRT

where

I represents the interest

P represents the principal or initial amount invested

R represents the interest rate

T represents the time in years

From the information given,

P = 11750

R = 7.5%

Recall, percentage is expressed in terms of 100. Thus,

R = 7.5/100 = 0.075

T = 3

By substituting these values into the formula,

I = 11750 x 0.075 x 3

I = 2643.75

Total interest = 2643.75 rupees

Total amount = principal + total interest

By substituting the values,

Total amount = 11750 + 2643.75

Answer:

x=8

larger angle=113

smaller angle=67

Step-by-step explanation:

8x+3=a(Vertically opposite angle)

a+14x+1=180°(Angles between parallel line)

8x+3+14x+1=180°

22x+4=180°

22x=176°

x=8

The Point-slop form for X is X = 5Y+15, and the Point-slop form for Y is [tex]\frac{X-5}{5}[/tex],  for the line with a slope 1/5 and passing through the point ​(-4​, -5​).

Finding the slop form using the formula  [tex]m=\frac{Y_{1} - Y_{2} }{X_{1} -x_{2} }[/tex]

The equation for x.

Here m=1/5.

∴  [tex]\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}[/tex]

[tex]\frac{1}{5}[/tex] × X-(-5) = Y-(-4)

[tex]\frac{1}{5}[/tex] × X+5 = Y+4

X+5= 5Y+2O

X=5Y+20-5

X=5Y+15

∴Point-slop for X is X=5Y+15.

Solving for Y.

[tex]\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}[/tex]

Simplifying and Solving.

[tex]\frac{1}{5}[/tex] × X-(-5) = Y-(-4), Taken  0n  X-(-5) the right side.

       [tex]\frac{1}{5}[/tex] × X+5 = Y+4

X+5= 5Y+2O

X+5-20=5Y

X-15=5Y

Taking 5 0n the right side.

[tex]\frac{X-15}{5}[/tex] = Y

∴ Point-slop form for Y is [tex]\frac{X-5}{5}[/tex]

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