3C - 2/7 -5c-8/4=1/14​

Answer:

-1/4

Step-by-step explanation:

f(x) = 1/(x+1)

f(a) = 1/(a+1)

f'(a) = {(a+1)×d/da (1) - d/da (a+1) × 1}/(a+1)²

f'(a) = {(a+1)×0 - 1×1}/(a+1)²

f'(a) = (0-1)/(a²+2a+1)

f'(a) = -1/(1+2a+a²)

putting a = 1

f'(a) = -1/(1+2+1)

f'(a) = -1/4

Answer:

40 years old

Step-by-step explanation:

Answer:

3 : 15 : 2

Step-by-step explanation:

Let cranberry juice = x,

3/4 + 1/10 + x = 1

x = 3/20

Ratio = cranberry : apple : orange

= 3/20 : 3/4 : 1/10

= 3 : 15 : 2 (Times everything with 20)

Answer:

..............................what this

9514 1404 393

Answer:

  y < 3x -4

Step-by-step explanation:

The boundary line has a slope (rise/run) of 3/1 = 3. It has a y-intercept of -4. The shaded area is below the line and the solution does not include the line. The relevant inequality can be written ...

  y < 3x -4

Answer:

1.25 dollars per quart

Step-by-step explanation:

There are 4 quarts per gallon

3 gallons * 4 quarts/ gallon = 12 quarts

15 dollars/ 12 quarts

1.25 dollars per quart

Answer:

1000/25 or 40

Step-by-step explanation:

~ A reciprocal is the fraction's reverse

For example 2/3=3/2

.025 is also 25/1000

The reverse of 25/1000 is 1000/25

Simplified into 40 wholes

1000/25 is the reciprocal of 0.025

A fraction represents a part of a whole.

Given,

Decimal value is 0.025

Zero point zero two five.

Firstly let us convert this to the fraction form.

When twenty five is divided by thousand we get 0.025

25/1000=0.025

So the fraction is 25/1000.

Now we need to find the reciprocal of fraction 25/1000.

Reciprocal means the numerator changes to denominator and denominator changes to numerator.

So 25/1000 reciprocal is 1000/25

Hence, 1000/25 is the reciprocal of 0.025

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Answer:

2

Step-by-step explanation:

a1= 1

r= a2/a1

r= (1/2)/1

r=0.5

s= a1/1-r

s= 1/1-0.5

s=2

Answer:

The answer is D. Y is -3 times x

The phrase which describes the linear relationship between the values of x and y is y is -3 times x.

A linear relationship is any relationship between two variables that creates a line when graphed in the x y -plane.

According to the given question.

We have a linear relationship between x and y.

From the first we can see that

When,

x = -3 and y = 9

⇒ y = -3x = -3 × (-3) = 9

when,

x = 0, and y = 0

⇒ y = -3x = -3 × 0 = 0

when,

x = 3, and y = -9

⇒ y = -3x = -3 × 3 = -9

Hence, this shows that  y is -3 times x.

Thus, option D is correct.

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Answer:

C

Step-by-step explanation:

180 degrees + 30 =210 degrees

210 degrees equals 7π/6

Answer:

[tex]\boxed {\boxed { \sf 12 \ inches}}[/tex]

Step-by-step explanation:

The area of a triangle can be calculated using the following formula.

[tex]a=\frac{1}{2} bh[/tex]

The area of the triangle is 24 square inches and the base is 4 inches long.

Substitute the values into the formula.

[tex]24 \ in^2 = \frac {1}{2} * 4 \ in * h[/tex]

Multiply on the right side of the equation.

[tex]24 \ in ^2 = ( \frac{1}{2} * 4 \ in ) * h[/tex]

[tex]24 \ in ^2 =2 \ in *h[/tex]

We are solving for the height of the triangle, so we must isolate the variable h. It is being multiplied by 2 inches. The inverse of multiplication is division, so we divide both sides by 2 inches.

[tex]\frac { 24 \ in ^2 }{2 \ in }= \frac{ 2 \ in *h}{ 2 \ in}[/tex]

[tex]\frac { 24 \ in ^2 }{2 \ in }= h[/tex]

[tex]12 \ in = h[/tex]

The height of the triangle is 12 inches.

Answer:

The intersection of plane R and plane P is line DB

Point H is not on plane P.

CE and DB intersect at point D

Explanation:

got it right on edge 2021 :)

Answer:

there right^

Step-by-step explanation:

edge 22

Answer:

1.6 ft

Step-by-step explanation:

If you use the Pythagorean Theorem to solve for x, you get:

[tex]x=\sqrt{2.1^2-1.4^2}[/tex]

[tex]x=\sqrt{2.45} = 1.56524758425[/tex]

Rounded to the nearest tenth, the answer is 1.6

Step-by-step explanation:

36 pages in 3 days, 36/3=12 pages per day.

45 pages in 5 days, 45/5=9 pages per day.

Difference is 3 pages per day

Answer:

Deon read 3 more  pages per day than Emily.

Answer:

Probability of an event = Number of outcomes favourable to that event/ Number of all possible outcomes.

The set of all possible outcomes is called the sample space and is denoted by S.

Any 3 fruits out of 11 in the box can be randomly selected in 11C3= (11x10 x 9)/(1 x 2x3) = 165 ways. Hence n(S) = 165.

We want the desired event E that the 1 fruit of each type is chosen. Now 1 apple out of 5 can be chosen in 5C1 = 5 ways, 1 out of 4 oranges in 4C1 = 4 and 1 banana out of 2 in 2C1 = 2 ways. Therefore, by fundamental counting principle, one of each type of fruit can be chosen in 5x4x2 = 40 ways So n(E) = 40.

Hence the probability of getting three fruits one of each type is = n(E)/ n(S) = 40/165 = 8/33.

The probability that all four children receive the same fruit is 2/33.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

We have 5 apples and 6 oranges.

So, if we choose 4 apples then the probability can be

= 5 /11 x 4/10 x 3/9 x 2/8

= 120/ 7920

and, if we choose 4 oranges then the probability can be

= 6/11 x 5/10 x 4/9 x 3/8

= 360/ 7920

Thus, the combined probability

= 120/7920 + 360/7920

= 480/ 7920

= 2/33

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Answer:

1, 2, 3, 6, 103, 206, 309, 618

Answer:

7/6

Step-by-step explanation:

since the formula of area is length times width,you have to divide the area by the length to find the width

area=length×width

the width will be

width=area÷length

=7/8÷3/4

7/8×4/3

7/2×1/3

7/6

that's the width you can prove it by multiplying the length times the width to see if you will get 7/8..

I hope this helps

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex]3 \div \frac{3}{4} \\ = \frac{3}{1} \div \frac{3}{4} \\ = \frac{3}{1} \times \frac{4}{3} \\ = \frac{12}{3} \\ = \frac{4}{1} \\ = 4[/tex]

Answer:

4

Step-by-step explanation:

3÷3/4

3*4/3

12/3

4

Step-by-step explanation:

After putting the values:-

Answer:

I don't know what you think about it is not going to be a great day of school and I don't know what you think about it is not going to be a great day of school

Answer:

Line A overlaps line B

Step-by-step explanation:

find gradient of both A and B and use it to find the equation of both lines

final answer will reveal that both lines are the same implying that one overlaps the other

Answer:

No they aren't similar different measurements but same angle so they can't be said to be similar

Answer:

6 hours

Step-by-step explanation:

A: y=125+7x

B: y=110+10x

for A to be a better deal than B, 125+7x<110+10x has to be true

Answer:

B 5

Step-by-step explanation:

Company A

total cost = 125+7h  where h is the number of hours

Company B

total cost = 110 + 10h  where h is the number of hours

125 + 7h < 110 + 10h

Subtract 7 h from each side

125 + 7h-7h<110+10h-7h

125 < 110+3h

Subtract 110 from each side

125-110< 110+3h

15 <3h

Divide by 3

15/3 <3h/3

5 <h

More than 5 hours

The ratio of 1:6 is 1/6

The ratio of 3:8 is 3/8

The ratio of 2:14 is 1/7

The ratio of 3:42 is 1/14

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Answer:

3(x+8)=4+x

distribute the 3 by multiplying it with the x and the 8

3x+24=4+x

subtract x from both sides

2x+24=4

subtract 24 from both sides

2x=4-24

2x=-20

divide each side by 2

leaving the variable isolated

x=-10

Step-by-step explanation:

It is important to balance each side by doing the same to both sides such as at the end divide both sides by 2.

The unknown number will be equal to 10.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that three times, the sum of a number and eight is four more than the number.

The equation will be written as,

3(x+8)=4+x

Distribute the 3 by multiplying it with the x and the 8,

3x+24=4+x

Subtract x from both sides,

2x+24=4

Subtract 24 from both sides,

2x=4-24

2x=-20

Divide each side by 2.

x=-10

Therefore, the unknown number will be equal to 10.

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Step-by-step explanation:

Factor out 2,

x² - x - 2 = 0

x² - x = 2

x² - x + (-1/2)² = 2 + (-1/2)²

(x - 1/2)² = 9/4

x = ±3/2 + 1/2

x = 2 or x = -1

Answer:

[tex]x=17[/tex]

Step-by-step explanation:

[tex](6x+10)(x+17)(4x-34)[/tex]

[tex]6x+10+x+17+4x-34=180[/tex]

Add:- [tex]6x+x+4x=11x[/tex]

and [tex]10+17-34=-7[/tex]

So, [tex]11x-7=180[/tex]

Add 7 to both sides:-

[tex]11x=187[/tex]

Divide both sides by 11:-

[tex]\frac{11x}{11}=\frac{187}{11}[/tex]

[tex]x=17[/tex]

OAmalOHopeO

Answer:

Step-by-step explanation:

The slope of the line is -9/8. The slope of any parallel to the line is also -9/8.

Answer:

∠ ABC = 125°

Step-by-step explanation:

∠ ABC = ∠ ABD + ∠DBC that is

∠ ABC = 65° + 60° = 125°