need help asap!!!!!

Step-by-step explanation:

A rational no. between 4.1 and √17=4.12

is 4.11 option a

Answer:

The number of hours was it before Penny was 5 miles ahead of Darla is 1 hour.

Step-by-step explanation:

Given : Darla and her friend penny left their office at the same time and began traveling down the same road in the same direction. Darla traveled at a speed of 65 mph while Penny drive at 70 mph.

To find : How many hours was it before Penny was 5 miles ahead of Darla?

Solution :

The formula used - [tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

Darla traveled at a speed of 65 mph.

Penny drive at 70 mph.

Let x be the number of hours taken by both.

Distance covered by Darla is [tex]d_1= 65\times x=65x[/tex]

Distance covered by Penny is [tex]d_2= 70\times x=70x[/tex]

According to given statement; Penny was 5 miles ahead of Darla

i.e. [tex]d_2-d_1=5[/tex]

[tex]70x-65x=5[/tex]

[tex]5x=5[/tex]

[tex]x=\frac{5}{5}[/tex]

[tex]x=1[/tex]

The number of hours was it before Penny was 5 miles ahead of Darla is 1 hour.

Answer: n=-28

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

1) distribute "-2/5" to each term inside the parentheses:

-2/5(n+3)=10

-2/5n+-6/5=10

add "6/5" on both sides

-2/5n-6/5+6/5=10+6/5

-2/5n=50/5+6/5

-2/5n=56/5

divide both sides by "-2/5"

n=-28

hope this helps

Answer:

If KC = 31 then KN = 33

Step-by-step explanation:

Answer: The length of the hypotenuse is 26 cm

Step-by-step explanation: Please refer to the attached diagram

The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.

Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that

AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides

In this question the hypotenuse is AB, so we now have;

AB² = AC² + CB²

AB² 24² + 10²

AB² = 576 + 100

AB² = 676

Add the square root sign to both sides of the equation

√AB² = √676

AB = 26

Therefore the length of the hypotenuse is 26 cm

Answer:

26 cm is the answer

Step-by-step explanation:

i got the question right

Answer:

t = 1.1 sec for first time and then in

t = 3.9 sec

Step-by-step explanation:

The function for the height of the circus performers is:

[tex]h(t) = -16t^{2} +80t +32[/tex]

                             where t is seconds after launch

                                        h is height in feet

For calculating after how many seconds is the performer at 100 feet above the ground, we must equal the equation to 100 and to find t:

Then,

[tex]100 = -16t^{2} +80t+32[/tex]

[tex]0 = -16t^{2}+80t -68[/tex]

[tex]t = \frac{-80\ \pm \\\sqrt{80^{2}-4(-16)(-68) } }{2(-16)}[/tex]

t = 3.9 sec

t = 1.1 sec

The length of the outer edge of a circle

Answer:

Circumference is the distance around the outside of a circle

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

5/3 = 45/X

X = 27

Answer:

27 Blue marbles

Step-by-step explanation:

3 Blue marbles = 5 Yellow marbles

x = 45

(x multiply by 5) = 45 x 3

5x = 135

x = 135/5

x = 27 Blue Marbles

Answer: I think the answer is D too just saying cuz I’m not sure either

Step-by-step explanation:

Answer:

(6+x)(6-x)

Step-by-step explanation:

Use the difference of squares formula: a^2-b^2=(a+b)(a-b)

Here, a is 6 and b is x, so you just substitute it into the formula

Final answer:

To factor the expression 36 - x², we recognize it as a difference of squares and use the identity a² - b² = (a + b)(a - b) to get (6 + x)(6 - x).

Explanation:

The question involves factoring the expression 36 - x^2 as the product of two binomials. To factor this expression, observe that it has the form of a difference of squares. The difference of squares can be factored using the identity a² - b² = (a + b)(a - b). In this case, a^2 is 36 and b² is x², where a is 6 and b is x. Therefore:

36 - x² = (6² - x²) = (6 + x)(6 - x)

This is the factored form of the given expression as the product of two binomials.

Answer:

x = 99

Step-by-step explanation:

Step 1:  Solve for x

-12 + x/11 + 12 = -3 + 12

x/11 * 11 = 9 * 11

x = 99

Answer:  x = 99

Answer:

There were 27 apples.

Step-by-step explanation:

Set a ratio of bananas to apples like this:

bananas/apples = 2/3

Now you have 18 bananas. The number of apples is unknown, so use "a" for the number of apples.

bananas/apples = 18/a

The two ratios above are equal, so set them equal. That creates a proportion.

2/3 = 18/a

Now we solve for a by cross multiplying.

2a = 3 * 18

2a = 54

a = 27

Answer: There were 27 apples.

Answer:

4(5x-4)

Step-by-step explanation:

4 is the common factor of 20 and 16 so it will stay outside the bracket. The left out is 5, x and 4. this forms the expression above.

Answer:

1. P(N) =  3/5

2. P(R) =  2/5

3. P(N and R) = 1/4

4. P(N or R) = 3/4

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of students in a high school senior class = 500

Number of students that regularly wear a necklace = 300

Number of students that regularly wear a ring = 200

Number of students that wear a necklace and a ring = 125

2. What is P(N), the probability that a senior wears a necklace?

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total of possible outcomes

Substituting with the real given values:

P(N) = 300/500 = 3/5 (Dividing by 100 numerator and denominator)

P(N) =  3/5

3. What is P(R), the probability that a senior wears a ring?

Substituting with the real given values:

P(R) = 200/500 = 2/5 (Dividing by 100 numerator and denominator)

P(R) =  2/5

4. What is P(N and R), the probability that a senior wears a necklace and a ring?

Substituting with the real given values:

P(N and R) = 125/500 = 1/4 (Dividing by 125 numerator and denominator)

P(N and R) = 1/4

5. What is P(N or R), the probability that a senior wears a necklace or a ring?

P(N or R) = P(N) + P(R) - P(N and R)

Substituting with the real given values:

P(N or R) = 3/5 + 2/5 - 1/4

P(N or R) = 5/5 - 1/4

P(N or R) = 1 - 1/4

P(N or R) = 3/4

The probabilities are:

P(N) = 0.6
P(R) = 0.4

P(N and R) = 0.25

P(N or R) = 0.75.

Let's solve the given probabilities step-by-step using the provided information.

Step 1: Calculate P(N)

The probability that a senior wears a necklace, P(N), is calculated by dividing the number of students wearing a necklace by the total number of students.

Step 2: Calculate P(R)

The probability that a senior wears a ring, P(R), is calculated similarly by dividing the number of students wearing a ring by the total number of students.

Step 3: Calculate P(N and R)

The probability that a senior wears both a necklace and a ring, P(N and R), is given directly in the problem.

Step 4: Calculate P(N or R)

The probability that a senior wears either a necklace or a ring is given by the formula:

The functions which will form the composite function G(F(x)) = 3(x + 1) are  F(x) = x + 1 and G(x) = 3x.

Given is a composite function,

G(F(x)) = 3(x + 1)

We have to find the functions G(x) and F(x).

G(F(x)) means that F(x) is substituted instead of x in G(x).

Let G(x) = 3x and F(x) = x + 1

In the composite function G(F(x)), F(x) = x + 1 is substituted in place of x in G(x).

So,

G(F(x)) = 3(x + 1)

Thus, F(x) = x + 1 and G(x) = 3x

Learn more about Composite Functions here :

https://brainly.com/question/30143914

#SPJ7

Final answer:

To find the composite function GF(x) from the given equation, identify the functions F(x) and G(x) and match them with the answer choices to determine the correct option, which is C.

Explanation:

The composite function GF(x) is calculated by substituting F(x) into G(x).

Identify F(x) and G(x) in the given equation, G(F(x)) = 3(x+1), which corresponds to F(x) = x+1 and G(x) = 3x.

Comparing them with the answer choices, the correct option is C. F(x) = 5x + 1 and G(x) = 3x.

Therefore, the composite function GF(x) is formed by F(x) = 5x + 1 and G(x) = 3x.

Answer:

(52, 32 )

Step-by-step explanation:

Given the 2 equations

y = x - 20 → (1)

x + y = 84 → (2)

Substitute y = x - 20 into (2)

x + x - 20 = 84, that is

2x - 20 = 84 ( add 20 to both sides )

2x = 104 ( divide both sides by 2 )

x = 52

Substitute x = 52 into (1) for corresponding value of y

y = 52 - 20 = 32

Solution is (52, 32 )

Answer:

12 1/2 cups of flour

Step-by-step explanation:

2 1/2 cups for each batch

5 batches

2 1 /2 x 5 =

12 1 /2

Answer: 0.84 as a fraction is 84/100

Greatest common factor is 4

Resulting fraction is 21/25

Addition of numerator and denominator of the resulting fraction is 46

Step-by-step explanation:

From the question, the sum of 0.8 and 0.04 is written as 0.8 + 0.04 = 0.84

Convert 0.84 to fraction = 84/100

The numerator and denominator in 84/100 are both positive integers.

The greatest common factor to the numerator and denominator is 4

Divide 84 by 4 = 21

Divide 100 by 4 = 25

Therefore, the resulting fraction is 21/25

Addition of 21 and 25 equals 46.

I hope this helps.

Answer:

Exact Form:

tan(x)=5/3

Decimal Form:

tan(x)=1.¯6

Mixed Number Form:

tan(x)=12/3 mixed number

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

It moves to the right 3 and up 2.

Answer:

Step-by-step explanation:

the answer would be 2/3

Answer:

31 cents left

Step-by-step explanation:

56-25=31

Answer:

6

Step-by-step explanation:

6+30=36

6^2=36

Answer:

the positive number is equal to  6.

Step-by-step explanation:

from the question which says A positive number is 30 less than its square. Find the number.

let the number be "n"

and the square of the number = n²

So, we have  the expression to be

n = n²-30

n ²-30 -n =0

Re-arrange the equation

n²-n-30=0

the factors of -30 are 5 and -6

so we have

(n+5)(n-6)=0

n+5 =0

n = -5

or

n-6 =0

n = 6

therefore the number can either be -5 or 6.

note we are asked to find the positive number , so the positive number is 6

Answer:

194

Step-by-step explanation:

Final answer:

To find the ground miles from a point below the plane to the radar station given the distance and angle of depression, use trigonometry to calculate the ground distance, which is approximately 107.2 miles.

Explanation:

The number of ground miles from a point directly below the plane to the radar station can be found using trigonometry. Given the distance from the plane to the radar station (160 miles) and the angle of depression (34 degrees), we can use the tangent function.

Calculate the distance on the ground using the formula: Ground distance = 160 x tan(34°).

Ground distance = 160 x tan(34°) ≈  160 x 0.67 = 107.2 miles.

Answer:

There are 462.25 parts being made per hour

Step-by-step explanation:

Step 1:  Make an equation

An automobile factory, 1849 parts are made in 4 hours.

1849 / 4 = x

Step 2:  Solve

1849 / 4 = x

462.25 = x

Answer:  There are 462.25 parts being made per hour

To find the hourly rate the parts are made, just divide.

1,849 / 4 = 462.25 parts made per hour.

Best of Luck!

Answer:

Step-by-step explanation:

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Answer:

The Order of Magnitude for the number of issues of the New  York Times published each year is 2.

Step-by-step explanation:

Given that the newspaper publishes one issue each day and the year has 365 days, then it publishes 365 issues each year.

365 can be rewritten, with scientific notation, as: 3.65*10^2, which means it has 2 orders of magnitude (it is indicated in the exponent).

Answer:

x=(-2/3)

Step-by-step explanation:

(9x+13)^2=49

√(9x+13)^2=√49

9x+13=7

9x+13-13=7-13

9x=-6

9x÷9=-6/9

x=-6/9

-6/9=-2/3

Answer:

x = -2/3; -20/9

Step-by-step explanation: