What is the equation for the line that is perpendicular to 4x + 2y = 9 that goes through the point (- 8, 5)?

Answer:

4.9%

Step-by-step explanation:

6600 * 107/100 = 66*107 = 7062.

3500 * 101/100 = 35x101 = 3535

7062+3535=10597. Original worth: 10100

10597-10100 = 497

497/10100 = 0.0492079208, or 4.92%, rounds to 4.9%

[tex] {5}^{2} + {x}^{2} = {8}^{2} [/tex]

[tex]25 + {x}^{2} = 64[/tex]

Subtract both sides 25

[tex]25 - 25 + {x}^{2} = 64 - 25[/tex]

[tex] {x}^{2} = 39[/tex]

Thus :

[tex]x = \sqrt{39} [/tex]

[tex]x = 6.245[/tex]

Answer:

answer below

Step-by-step explanation:

f(x) = a* bˣ

if a>0 and b>1 : growth

if a>0 and 0<b<1 : decay

5) 7) 9) : growth

6) 8) 10) : decay

When analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.

When determining whether an equation represents growth or decay, we need to examine the relationship between the variables involved. 1. If the equation represents a positive relationship, where as one variable increases, the other variable also increases, then it represents growth. 2. On the other hand, if the equation represents a negative relationship, where as one variable increases, the other variable decreases, then it represents decay.

Let's look at some examples to illustrate this: Example 1: y = 2x In this equation, as x increases, y also increases. Therefore, it represents growth. Example 2: y = -3x In this equation, as x increases, y decreases. Therefore, it represents decay. Example 3: y = -0.5x + 3 Here, as x increases, y decreases. So, this equation represents decay. Example 4: y = 4.5x + 2 As x increases, y also increases. Hence, this equation represents growth. In summary, when analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.

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Answer:

open the brackets

mx+mn=n

mx=n-mn

since we want to know the value of x , then we divide both sides with m ,thus giving us

x=n/m - n

Answer:

x = [tex]\frac{n-mn}{m}[/tex]

Step-by-step explanation:

m(x + n) = n ← distribute parenthesis on left side by m

mx + mn = n ( subtract mn from both sides )

mx = n - mn ( isolate x by dividing both sides by m )

x = [tex]\frac{n-mn}{m}[/tex]

Answer:

0.00714285 less per foot

Step-by-step explanation:

Since molly's solution tally's with the given solution, hence Molly's solution is correct.

Given the working on a partial product of 93 and 51 carried out by Molly as shown:

[tex]\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}​[/tex]

This partial product can also be solved as shown below:

[tex]93 \times 51 = (90+3)\times (50+1)[/tex]

Applying the distributive law:

[tex]93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743[/tex]

Since molly's solution tally's with the given solution, hence Molly solution is correct.

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Answer:

Your friend sold (5w + 1) subscriptions.

You sold (3w + 4) subscriptions.

The difference between what your friend sold and what you sold is

(5w + 1 ) - (3w + 4)

= 5w + 1 - 3w - 4

= 5w - 3w + 1 - 4

= 2w - 3

Answer: 2w - 3

If it is negative then it means the subscription sold by friend is less than the subscription sold by me and if it is positive then it means the subscription sold by friend is more than the subscription sold by me.

Brainliest plz

According to the amount he drove in 5 hours, he drove an average of 62 MPH. If he continued to drive at this speed for 8 hours, he would travel 496 miles.

Step-by-step explanation:

x³ + 3x² - 19  ÷ x - 2 = x² + 5x + 10 rem 1

x³ -  2x²

      5x² - 19

      5x² - 10x

               10x - 19

               10x - 20

                         1

Answer:

quickly:

x-2=0 x^3+3x^2-19

x=0+2 = 2^3+3(2)^2-19

x=2 = 8+6^2-19

=8+36-19

=42-19

=23

The remainder is 23

Answer:

x=1.88

Step-by-step explanation:

Answer:

479 = expected runs

0.220 = assumed batting average

Step-by-step explanation:

ˆy=−790+5400x

For an x value of 0.235, we have to calculate ˆy, or the predicted value. Plugging 0.235 in for x, we get

-790 + 5400 * 0.235 = 479

If ˆy = 400, we have to calculate x.  Plug 400 in for y in our equation to get

400 = -790 + 5400x

add 790 to both sides to isolate the x and its coefficient

1190 = 5400x

divide both sides by 5400 to solve for x

x= 0.220

Answer:A 16-ounce can of mixed nuts includes 6 ounces of cashews and 10 ounces of almonds. What is the ratio of almonds to mixed nuts in this can of nuts?

Step-by-step explanation:

Answer:

705.8823529411765

Step-by-step explanation:

You find out what percent the Mini Cooper is a subtract that from the full 100%. You would then have 17%. Now you need to divide the 120 inches by 17 to find out what 1% equals. In this case 7.058823529411765, now you multiply by 100 to get the full 100%. The answer is 705.8823529411765

Answer:

−17x+10y=3

Step-by-step explanation:

Answer: 1 in 51

Step-by-step explanation:

Answer:

23/26

Step-by-step explanation:

A standard deck of cards has 52 cards.

The cards are divided into 13 cards of each of 4 suits.

2 suits are black and 2 suits are red.

Each suit has 3 face cards. Since there are 2 black suits, there are 6 black face cards.

The total number of cards in a deck is 52.

52 - 6 = 46

There are 46 cards that are not black suit cards out of 52 total cards.

p(not black face card) = 46/52 = 23/26

Answer:

4/10, 6/15, 120/300, etc.

Equivalent fractions can be anything, as long as they divide to .4 (2/5).

Basically any equivalent fraction

[tex]\frac{2*n}{5*n}[/tex]

with n as any integer, is an equivalent fraction to 2/5 since

[tex]\frac{2*n}{5*n}=\frac{2}{5}*\frac{n}{n}=\frac{2}{5}*1=\frac{2}{5}[/tex]

Answer: The fifth step in the accounting cycle is the preparation of trial balance. Further, the sixth step in an accounting cycle is the Journaling adjustments made in the Worksheet (Trial Balance).

Step-by-step explanation:

The steps of the cycle in this course are as follows:

1. Analyze Financial Transactions

2. Journal Transactions

3. Post Journal Entries to Ledger

4. Prepare Trial Balance

5. Make Adjustments to Trial Balance

6. Journal Adjustments and Create Adjusted Trial Balance

7. Prepare Financial Statement

8. Journal and Post Closing Entries

9. Prepare Posting Closing Trial Balance

Accountants love to make up new words and make it complicated so they can get paid more, hence why the swapped the word 'Worksheet' with 'Trial Balance' :p

Answer:

Step-by-step explanation:

Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.

Answer:

B) 4cm

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

158.4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because

Answer:

Step-by-step explanation:

it’s a

Answer:

15th term is 29/4

Use Arithmetic equation

a1 = 1/4

d= common difference = 2/4

a15 = a1 + (n-1) d

a15 = 1/4 + (15 - 1) 2/4

a15 = 1/4 + 14 (2/4)

a15 = 1/4 + 7

a15 = 29/4 or 7 1/4

Answer: the smallest is 2^5, 6^2, 3^4 and the largest is 5^3

Answer:

Step-by-step explanation:

A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $2000 when sold. A ranch-style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.2 million of capital on hand, how many houses of each type should she build for maximum profit?

? colonials

? ranches

For maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses. The maximum profit achievable is $740,000.

Let x be the number of colonial houses built.

Let y be the number of ranch-style houses built.

Now, we can set up the objective function, which represents the total profit:

Total Profit (P) = 3000x + 7000y

The total cost of the houses built cannot exceed the available capital, which is $3.8 million (or $3,800,000):

30,000x + 40,000y ≤ 3,800,000

The number of building lots used cannot exceed the total number of lots available, which is 100:

x + y ≤ 100

Also, we need to consider that the number of houses (x and y) must be non-negative:

x ≥ 0

y ≥ 0

Now, we have the linear programming model with the objective function and constraints.

We need to find the values of x and y that maximize the total profit (P).

Graph the feasible region determined by the constraints (x + y ≤ 100, x ≥ 0, y ≥ 0, 30,000x + 40,000y ≤ 3,800,000), and then evaluate the objective function (P = 3000x + 7000y) at each corner point of the feasible region to find the maximum profit.

The feasible region is a polygon with vertices at the following points:

(0, 0)

(0, 95) (Intersection of x = 0 and y = 95)

(80, 20) (Intersection of x = 80 and y = 20)

(100, 0) (Intersection of x = 100 and y = 0)

Now, evaluate the objective function (P) at each corner point:

(0, 0): P = 0

(0, 95): P = 665,000

(80, 20): P =  740,000

(100, 0): P = 300,000

The maximum profit of $740,000 occurs when the contractor builds 80 colonial houses and 20 ranch-style houses

Hence, for maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses.

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Answer:

Step-by-step explanation:

First 1 ÷ 5 ×16

= 3.2

Then 3.2 × 1 ÷ 3

= 1.06

eat chili snacks and spicy to burn fat

Answer:

(2, 1)

Step-by-step explanation:

-4 + 6 = 2

-1 + 2 = 1

X and Y become positive by going up and right

Answer:

(2, 1 )

Step-by-step explanation:

A move of 2 units up in the positive y- directions means adding 2 to the y- coordinate.

A move right of 6 units in the positive x- direction means adding 6 to the x- coordinate.

(- 4, - 1 ) → (- 4 + 6, - 1 + 2 ) → (2, 1 )