Pls help me on this

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Work Shown:

[tex]\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\[/tex]

[tex]x^2+8x-84=0\\\\(x+14)(x-6)=0\\\\x+14=0 \ \text{ or } \ x-6=0\\\\x=-14 \ \text{ or } \ x=6\\\\[/tex]

Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out

x = 6 works as a solution however

Answer:

D. (5,1)

Step-by-step explanation:

The vertex of the graph is V ( 5 , 1 ).

Given data:

The vertex of a function is a point on the graph where the function reaches its highest or lowest point, depending on whether the function is concave up or concave down.

The vertex represents the minimum or maximum point of the function and provides information about the axis of symmetry of the graph. If the function opens upward (concave up), the vertex is the lowest point (minimum).

So, the highest point in the graph where the function reaches the minimum value is when x = 5

So, the value of y = 1

Hence , the vertex is V ( 5 , 1 ).

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Answer:

[tex](2,0)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find endpoints from graph.

Point P (-4, 6)

Point Q (8, -6)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint .

Answer:

than that means the cards are not turned over

im sorry i didnt really get you question

Step-by-step explanation:

There is 1/2 of a greater chance in drawing a spade over drawing a 7

From the complete question added as an attachment, we have the following parameters:

The probability of getting a spade is:

P(Spade) = 4/6

The probability of getting a 7 is:

P(7) = 1/6

The difference between both probabilities is:

Difference = 4/6 - 1/6

Evaluate

Difference = 3/6

Simplify

Difference = 1/2

Hence, there is 1/2 of a greater chance in drawing a spade over drawing a 7

Note that the question is incomplete, and the missing part of the question can be found online

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Answer:

2 rows of 41

Step-by-step explanation:

i had the same question

The number of possible ways can the chairs be lined up is 2 rows of 41.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 2 \times 41[/tex]

= 82 chairs

Here 2 denotes the rows.

Therefore we can conclude that the number of possible ways can the chairs be lined up is 2 rows of 41.

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Answer:

Lot 4 since 61.5% is the highest percentage of blue cars of all lots.

Step-by-step explanation:

Find the percentage that each number of blue cars is in its parking lot.

percent = part/whole * 100%

15 of the 36 cars in lot 1 were blue

15/36 * 100% = 41.667%

43 of the 92 cars in lot 2 were blue

43/92 * 100% = 46.739%

12 of the 30 cars in lot 3 were blue

12/30 * 100% = 40%

32 of the 52 cars in lot 4 were blue

32/52 * 100% = 61.538%

Answer: Lot 4 since 61.5% is the highest percentage of blue cars of all lots.

Answer:

Parking Lot 4

Step-by-step explanation:

15÷36 x 100 = 41.666%

43÷ 92 x 100 = 46.739%

12 ÷ 30 x 100 = 40%

32÷ 52 x 100 = 61%

61% is the largest percentage out of all of them, therefore Parking Lot 4 ( 32 out the 52 cars) is the Parking Lot that has the greatest percentage of blue cars!

CAN I PLEASE BE BRAINLIST?

Answer:

1) A

2)C

3)B

4)D

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

8

Step-by-step explanation:

50 is at rank 8.5, but since its a 53% chance. it would be below the .5 area and round to 8

Answer:

A would make sense

Step-by-step explanation:

Answer:

If this is the question then tis is the answer. Thank you. Hope I was of help.

Step-by-step explanation

ee

Answer:

No thanks

Step-by-step explanation:

Step-by-step explanation:

24cm³ = 0.024dm³

Moles of CO2 = 0.024dm³ / (24dm³/mol) = 0.001mol

Hence 0.001mol of XCO3 is required.

Answer:

6.4347826087

Step-by-step explanation:

Answer:

282.5 yards.

Step-by-step explanation:

565 divided by 2 is 282.5.

Answer:

Option A

Step-by-step explanation:

The question asks how much did Sarah spend per book.

The statement in the problem that she $42.20 on 2 books would be enough information to solve the question given.

Using the information, we would find the unit rate of the price to get our answer.

Hope this helps.

Responda:

camarote Amarelo

Explicação passo a passo:

Dado que:

Número total de pessoas = 150.000

Caixa rosa: 1/4 * 150.000 = 37.500

Caixa Lilax: 1/5 * 150.000 = 30.000

Caixa amarela: 2/5 * 150.000 = 60.000

Faixa = 0,15 * 150.000 = 22.500

Portanto, a caixa amarela tem mais gente

Answer:

12 Men

Step-by-step explanation:

Since the ratio is 4:5 (men:women) 15/5 = 3, so you use 3 as your multiplier and write 3 x 4 = 12 :D

Answer: switch the x and y values of the coordinates

(x, y) —> (y, x)

-9 is the answer

your welcome

Answer:

y=4x+4

Step-by-step explanation:

i was learning this not too long ago so i hope this helps y=mx+b     aka slope is 4 and then for b you put the y intercept aka 4  and then the x and y factors you csn leave blank cause you dont have them

An equation of the line that passes through (-1,4) and is perpendicular to the line given in the graph is y=3x+7.

The coordinates from the line on the graph is (-3, 4) and (3, 2).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

Now, slope =(2-4)/(3+3)

= -2/6

= -1/3

Substitute m=-1/3 and (x, y)=(-3, 4) in y=mx+c, we get

4=-1/3 (-3)+c

⇒ c=3

The slope of a line perpendicular to given line is m1=-1/m2

So, slope =3

An equation of the line that passes through (-1,4)

Now, 4=3(-1)+c

c=7

Put m=3 and c=7 in y=mx+c, we get

y=3x+7

Therefore, an equation of the line that passes through (-1,4) and is perpendicular to the line given in the graph is y=3x+7.

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Answer:

h=1.3056 m

Step-by-step explanation:

L=2.5m

w=L(1 + 9/16)

w=2.5(1 + 9/16)=[tex]\frac{125}{32}[/tex] m=3 [tex]\frac{29}{32}[/tex]m

v=Lwh

12.75m³=(2.5m)([tex]\frac{125}{32}[/tex]m)h

12.75m³=(9.765625m²)h

[tex]\frac{12.75m^{3} }{9.765625m^{2} }[/tex]=h

h=1.3056 m

Answer:

3 3/16

Step-by-step explanation:

If:

Length= 2 1/2

Width=2 1/2 divided by 1 9/16= 1 3/5

Volume=12 3/4

So then, 2 1/2 times 1 3/5=4

12 3/4 divided by 4= 3 3/16

Done!

iogmkiuAnswer:

Step-by-step explanation:

gjkih

Answer:

193 miles

Step-by-step explanation:

55 x 3.5 = 192.5 round up to 193

Answer:

193 miles I think

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

0.28 as a fraction is 28/100 and if you need it simplified it is 7/25

3/5 as a decimal is 0.60

185% as a fraction is 185/1 or if you need that simplified it is 1 85/100

Step-by-step explanation:

Ask me if you need it simpler than that and I'll help.

Answer:

i would go for a but im not really sure. sorry if incorrect

Step-by-step explanation:

Answer:

x = 1425

Step-by-step explanation:

Given that,

A student found out that 8% of the students in his school are left-handed.

Total no of lefties = 114

We need to find the total number of students in the school. Let they are be x.

ATQ,

8% of x = 114

[tex]\dfrac{8x}{100}=114\\\\x=\dfrac{114\times 100}{8}\\\\=1425[/tex]

Hence, there are 1425 students in the school.

Convert to a simplified fraction.

20 amgiS ⋅ 9n / 2^2+3n − 9^n

Move 20 to the left of Sigma.

20 Sigma

Answer: 1.13043478 times

Step-by-step explanation: