(2x2 - 4x + 7) + (3x3 - 9x)

Answer:

The cube only belongs to the x and not 2x.

The statement will only be true if there is a bracket around the 2x.

log₃(2x)³= 3log₃2x

logarithm power rule:

logₐ(x)^y = y ∙ logₐ(x)

Answer:

see explanation

Step-by-step explanation:

Given

[tex]log_{5}[/tex] 2x³

= [tex]log_{5}[/tex] 2 + [tex]log_{5}[/tex] x³

= [tex]log_{5}[/tex] 2 + 3[tex]log_{5}[/tex] x

Answer:

3

Step-by-step explanation:

basically the largest number decided by 5 smaller than 438 is 435. so the answer is 3

Answer:

Any number divisible by 9 must have the sum of its digits divisible by 9. The sum of the digits of 456 is 15, so you need to subtract 6.

Answer:

2

Step-by-step explanation:

Looking at the graph, it is 2.

I have to return 400 notebooks.

Here, we have,

given that,

I order 700 notebooks by accident. I only need 3⁄7 of my order.

To determine how many notebooks you need to return, you can calculate 4/7 of your order, which represents the portion you don't need.

Let's calculate it step by step:

Calculate the number of notebooks you don't need:

4/7 * 700 = 400

we have,

I only need 3⁄7 of my order.

so, i need = 3/7 * 700

                = 300

Subtract the number of notebooks you need from the total order to find the number of notebooks you should return:

700 - 300 = 400

Therefore, you should return 400 notebooks.

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Answer:

y+5 = 5/2( x -4)

Step-by-step explanation:

Point slope form of a line is

( y-y1) = m(x-x1) where m is the slope and ( x1 ,y1) is a point on the line

y --5 = 5/2( x -4)

y+5 = 5/2( x -4)

Answer:

y + 5 = 5/2(x - 4)

Step-by-step explanation:

Use the point slope equation: y - y1 = m(x - x1), where (x1, y1) is a known point and m is the slope.

Plug in the values:

y + 5 = 5/2(x - 4)

So, the equation is y + 5 = 5/2(x - 4)

Answer:

Step-by-step explanation:

a:b = 3:2    ⇒   a = 3x  and  b = 2x

a - b = 5

3x - 2x = 5

x = 5

a = 3•5 = 15

b = 2•5 = 10

Answer: (-1,-3)

Step-by-step explanation:

midpoint formula [tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]

[tex]\left(\frac{1-3}{2},\:\frac{-4-2}{2}\right)[/tex]

[tex](\frac{-2}{2},\frac{-6}{2})[/tex]

-2/2=-1

-6/2=-3

So the midpoint is (-1,-3)

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Answer:

She needs to jog 7 laps to make sure she covers at least 7.5 miles

Step-by-step explanation:

Kelly's goal is to complete 7 1/2 miles which in decimal form is: 7.5 miles.

Each lap around the park is 1 1/5 miles, which in decimal form is written as: 1.2 miles

Then, to find how many laps she needs to complete we do the quotient:

7.5/1.2 = 6.25

which means that she needs a quarter of a lap more than 6 laps, so she needs to go for 7 laps to meet the goal

Answer:

2n+7

Step-by-step explanation:

First lets find the common difference which is 2, now we can use this formula to find the nth term.

an = a1 + (n - 1 ) d

an= 9+(n-1)2

=9+2n-2

=2n+7

To check let's insert n=5, 2(5)=10+7=17.

15+2=17!

Answer:

$635

Step-by-step explanation:

$5x7 birdhouses=$35want

So, $35+$600=$635 total!

I hope this helps you!

Multiplication is the process of multiplying. The cost of building 7 birdhouses will be $635.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The cost of the birdhouse is the sum of the fixed cost, which is the setup cost of the business of $600, and the variable cost is the cost that is needed to make a single house, therefore, $5.

Now, the total cost of making n number of houses will be,

Cost of making n house = Fixed cost + variable cost

                                        = $600 + $5(n)

Further, the table can be filled using the above formula by substituting the value of n for the number of houses. Therefore,

Number of bird houses     Total cost to build

       1                                     $600+$5(1) = $605

       2                                    $600+$5(2) = $610

       3                                    $600+$5(3) = $615

       4                                    $600+$5(4) = $620

       5                                    $600+$5(5) = $625

       6                                    $600+$5(6) = $630

       7                                    $600+$5(7) = $635

Hence, the cost of building 7 birdhouses will be $635.

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===================================================

Work Shown:

x = starting length of the shadow

y = height of the pole

tan(angle) = opposite/adjacent

tan(58) = y/x

1.6003345 = y/x

1.6003345x = y

x = y/1.6003345

x = (1/1.6003345)y

x = 0.62486936y

-------------------------

When the angle changes, the adjacent side gets 90 meters longer

tan(angle) = opposite/adjacent

tan(36) = y/(x+90)

0.72654253 = y/(0.62486936y+90)

0.72654253(0.62486936y+90) = y

0.453994166y + 65.3888277 = y

65.3888277 = y-0.453994166y

65.3888277 = 0.546005834y

0.546005834y = 65.3888277

y = 65.3888277/0.546005834

y = 119.758478075162

y = 119.76

The height of the pole is about 119.76 meters.

Answer:

45 is the father's age

Step-by-step explanation:

Answer:

2184 different combinations

Step-by-step explanation:

To find how many different combinations are possible, multiply all of the values:

3 * 13 * 7 * 4 * 2 = 2184 different combinations

Answer:

2,184 different skateboards.

Step-by-step explanation:

You would have to multiply

3 x 13 x 7 x 4 x 2 = 2184

If it helps you then please mark it as brainliest!

Answer:

7x + 2

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

Adding f(x) and g(x) together gets you, (4x-5) + (3x-7) = 7x - 12

If you graph this function you get a slanted line, which extends forever so the domain will be all real numbers.

Answer:

C. X-Y X-Y

Step-by-step explanation:

The question asks to identify the least amount of discount on the conference registration. If the registration discount is at least half of the possible saving of ROB then all attendees will stay within the block. X is the block rate and Y is the non block rate. The saving for staying two nights outside the block is 2 (X-Y)

Answer:

  22. The surface area is 1/9 of its original value

  24. The surface area is 120 m^2 less than its original value.

Step-by-step explanation:

22. For similar figures, the surface area is proportional to the square of the linear dimension scale factor. Multiplying all linear dimensions by 1/3 will result in reducing the surface area to (1/3)^2 = 1/9 of its original value.

__

24. As above, the scaled base surface area will be (1/4)^2 = 1/16 of its original value. Since one dimension of the lateral area is multiplied by 4 and the other dimension is multiplied by 1/4, the net effect on that area is multiplication by (1/4)(4) = 1. That is, the lateral area will remain unchanged.

The overall surface area will be reduced by 15/16 of the area of the bases. The area of the bases is (2)(1/2)(8 m)(16 m) = 128 m^2. The changed figure will have a surface area that is 120 m^2 smaller.

Answer:

well i cant answr it if i oont have more inforomartion

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we add 11,36,61,... to the bottom we get bottom as a multiple of numerator.

Answer:

Step-by-step explanation:

I'll use x  instead of theta.

So we have:

sin x / ( 1 + cos x) + (1 +cos x) / sinx

The LCM is sin x(1 + cos x) so we have

sin^2 x + (1 + cos x)^2 /  sin x(1 + cos x)

= sin^2 x + cos^2x + 2 cos x + 1 /  sin x(1 + cos x)

Now sin^2x + cos^2x = 1 so:

= 2 + 2 cos x /  sin x(1 + cos x)

= 2(1+ cos x) /  sin x(1 + cos x)

The 1 + cos x is common so we have:

2 / sin x

= 2 cosec x.

Answer:

  Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.

Step-by-step explanation:

The value of the expression when x is zero is 300. For each increment of 1 in x, the value of the expression increases by 13.50. This best matches the scenario ...

  Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.

Answer: Capable

Step-by-step explanation: The capability of a process could be exaplained as a measure of the ability of a process to produce part within specified limits by making use of statistical measurement. In determining if a certain process is capable or not, the value of process capability (Cp) is measured, in most cases, a process is deemed capable by having a Cp value of 1.33 or higher.

Cp formula :

(Upper specification limit(USL) - Lower specification limit(LSL) ) / 6* standard deviations

Diameter = 10 mm ± 0.5 mm

Standard deviation = 0.1mm

USL = 10 + 0.5 = 10.5

LSL = 10 - 0.5 =. 9.5

Cp = (10.5 - 9.5) / 6*0.1

Cp = 1/0.6

Cp = 1.6666

Cp = 1.67

Hence, the process is capable

Answer:

Positive

Step-by-step explanation:

negative times negative is postive positive times negative is negative

Answer:

A positive.

Step-by-step explanation:

Let's replace these with numbers.

-1 · 2  · (-3)

A negative times a positive will always equal a negative. So, we have:

-2 · (-3)

Any numbers with the same sign (positive or negative)  multiplied by each other will equal a positive. Since we have two negatives and we're multiplying them, our result will be a positive number.

6

Hope this helps!! <3 :)

Answer:

y<−13

y−9>4+2y

Simplify both sides of the inequality

y−9>2y+4

Subtract 2y from both sides

y−9−2y>2y+4−2y

−y−9>4

Add 9 to both sides.

−y−9+9>4+9

−y>13

The divide both sides by -1

Answer:

[tex]\boxed{y < -13}[/tex]

Step-by-step explanation:

Hey there!

To solve for y we‘ll combine like terms and use the communicative property.

y - 9 > 4 + 2y

+9 to both sides

y > 13 + 2y

-2y to both sides

-y > 13

Divide -1 by both sides

y < -13

Hope this helps :)

Answer:

b) 2.00 + 0.25m

Step-by-step explanation:

2.00per trip and $0.25 per mile = 2.00 + 0.25m

Answer:

see below

Step-by-step explanation:

a) 0.25m

This is the cost of the mileage alone

The cost is 25 cents per mile times m miles

b) 2.00 + 0.25m

This is the total cost of the trip

There is a 2 dollar flat rate fee plus the cost of the miles

2 dollars plus m miles at 25 cents per mile

Answer:

358

Step-by-step explanation:

In 1995, the boys were 50 %

Take the number of people at the convention in 1995 ( 716)

and multiply by 50%

716 * 50%

716 * .50

358

Answer:

b. 358

Step-by-step explanation:

First, find what percentage of attendees were boys in 1995:

By reading the graph, we can see 50% were boys.

In the table, we can see that there were 716 attendees in 1995.

To find how many boys attended in 1995, find 50% of 716.

716(0.5) = 358

Answer:

[tex]\huge\boxed{x = 8.2}[/tex]

Step-by-step explanation:

Sin θ = opposite / hypotenuse

Where θ = 34 , opposite = 4.6 and hyp = x

Sin 34 = 4.6 / x

0.6 = 4.6 / x

x = 4.6 / 0.6

x = 8.2

Answer:

x = 8.2

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 34 = 4.6 /x

x  sin 34 = 46

x = 4.6 /sin 34

x =8.22614159

To the nearest tenth

x = 8.2

Answer:

[tex]\huge\boxed{10.4\ units\²}[/tex]

Step-by-step explanation:

Area of circle:

=> [tex]\pi r^2[/tex]

Where r = 2.8

=> [tex](3.14)(2.8)^2[/tex]

=> (3.14)(7.84)

=> 24.6 units²

Area of Triangle:

=> 1/2 (Base)(Height)

=> 1/2 (10)(7)

=> 5 * 7

=> 35 units²

Area of the shaded region:

=> 35 - 24.6

=> 10.4 units²

Answer:

27 7/9%

Step-by-step explanation:

Take the selling price and subtract the cost

920 -720 = 200

Divide it by the cost

200/720

.27777777

Change to percent form

27.777777%

27 7/9%

Answer:

Step-by-step explanation:

To find the percentage of profit we use the formula

[tex] \frac{profit}{cost \: \: price \: } \times 100[/tex]

Subtract the cost price from the selling price to obtain the profit

Cost price = Rs 720

Selling price = Rs 920

Profit = Rs 920 - Rs 720 = Rs 200

So the profit percentage is

[tex] \frac{200}{720} \times 100[/tex]

We have the final answer as

Hope this helps you

Answer:

Answer would be D

Step-by-step explanation:

The measure of the length UX will be 76.53 units. Then the correct option is D.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The measure of the length UX will be given by sine of angle 6°.

  sin 6° = UR / UX

0.1045 = 8 / UX

     UX = 76.53 units

Then the correct option is D.

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Answer:

Step-by-step explanation:

The graph of function f(x)+2 is moved 2 units up compared to the graph of f(x).

It means the x-coordinate is the same and the y-coordinate of f(x)+2 is increased by adding 2 to y-coordinate of f(x).

-8 + 2 = -6

Answer:

b)b+2

Step-by-step explanation:

3+2=5

5+2=7

so for the next iteration 2is added.