What is the area of figure ABCD?
(image of figure down below)

104 square inches
120 square inches
136 square inches
168 square inches

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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

Step-by-step explanation:

24cm³ = 0.024dm³

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

Hence 0.001mol of XCO3 is required.

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!

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:

Below

Step-by-step explanation:

The equation for slopes are y=mx+b. m = slope, and b = y-intercept.

Since b is negative the y-intercept will be below the x-axis.

Answer:

1) A

2)C

3)B

4)D

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

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:

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:

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.

iogmkiuAnswer:

Step-by-step explanation:

gjkih

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.

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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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

Step-by-step explanation

ee

Answer:

No thanks

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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:

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:

y = 25·x shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship

m = 105.25·n shows a proportional relationship

Step-by-step explanation:

An equation that shows a proportional relationship is of the form, y = kx

Where;

k = The constant of proportionality = y/x

Therefore, the equation, y = 25·x shows a proportional relationship

The constant of proportionality = k = y/x = 25

Similarly, the equation m = 105.25·n shows a proportional relationship

The constant of proportionality = k = m/n = 105.25

When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship

The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.

Therefore;

y = 25·x shows a proportional relationship

m = 105.25·n shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship.

Answer:

next 3 terms are 17,20,23

Step-by-step explanation:

to get from 5 to 8 you add 3

14+3=17

17+3=20

20+3=23

Answer:

17, 20, 23

Step-by-step explanation:

The pattern is that 3 is added every time.

5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14.

That means that the next terms will be

14 + 3 = 17

17 + 3 = 20

20 + 3 = 23

-9 is the answer

your welcome

Convert to a simplified fraction.

20 amgiS ⋅ 9n / 2^2+3n − 9^n

Move 20 to the left of Sigma.

20 Sigma

Answer:

282.5 yards.

Step-by-step explanation:

565 divided by 2 is 282.5.

Answer:

the picture isnt showing up on mines

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:

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:

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