Molly spent 1 hour and 30 minutes swimming 5 laps in the river. If it took her the same time to swim each lap, how long would it take her to swim 7 laps?

Answer:

It is D.

Step-by-step explanation:

270 degrees counterclockwise is 90 degrees clockwise.

Answer:

432 cm²

Step-by-step explanation:

To find the surface area of a cuboid, there is a formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

Multiply all the terms.

336+96

Add both the terms.

= 432

The surface area of the open cuboid is 432cm².

Answer:

432 cm²

Step-by-step explanation:

The formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

336+96

= 432

The surface area of the open cuboid is 432cm²

Answer:

67°

Step-by-step explanation:

Given:

Height of helicopter from the ground, x = 665 feet

Distance from the helicopter to the girl's line of sight(opposite) = 665ft - 5 ft = 600 ft

Horizontal distance(adjacent) =  280 ft

To find the angle of depression, use the formula:

[tex] tan y = \frac{x}{y} [/tex]

Solve for y:

[tex]y = tan^-^1 (\frac{x}{y})[/tex]

[tex]y = tan^-^1 (\frac{660}{280}) = 67.01[/tex]

Angle of depression = 67°

Answer:

67 degrees

Step-by-step explanation:

Answer:

23820$

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

8:8=1

Answer:

8:8 simplified is 1:1 or just 1 for short.

Answer:

area=πr√{h^2+r^2}

area=704cm^2, Height(h) =25cm

therefore,

by solving, πr√{h^2+r^2}=704cm^2

you will get value of r.

now, volume=πr^2×h/3

putting all values answer will come

Step-by-step explanation:

Answer:

its 5

Step-by-step explanation:

think about it,  if you pick 4 socks, it cold be all four different colors but if its 5 then there has to be at least one pair of matching socks so the answer is 5

Answer:

8 - 6x + 10x - 15 = 20 -5x

8 + 4x - 15 = 20 - 5x

8 - 15 = 20 - 9x

6 = 20 - 9x

-14 = -9x

divide by -9  .736

Step-by-step explanation:

The solution of the equation 2 (4 – 3x) + 5 (2x – 3) = 20 – 5x will be 3. Then the correct option is D.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

2 (4 – 3x) + 5 (2x – 3) = 20 – 5x

Simplify the equation, we have

2 (4 – 3x) + 5 (2x – 3) = 20 – 5x

      8 – 6x + 10x – 15 = 20 – 5x

                              9x = 27

                                x = 3

Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

C: 180 degrees

Step-by-step explanation:

Note that it got flipped across the origin, so it is 180 degrees.

Answer:

180 degrees.........

Answer: 0.16

Step-by-step explanation:

Given that the run times provided are normally distributed ;

Mean(x) of distribution = 3 hours 50 minutes

Standard deviation(s) = 30 minutes

The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes

3 hours 20 minutes = (3 hrs 50 mins - 30 mins):

This is equivalent to :

[mean(x) - 1 standard deviation]

z 1 standard deviation within the mean = 0.84

z, 1 standard deviation outside the mean equals:

P(1 - z value , 1standard deviation within the mean)

1 - 0.8413 = 0.1587

= 0.16

Answer:

A. 16%

Step-by-step explanation:

Hope that this helps. peace and love

Answer:

1665

Step-by-step explanation:

This is AP, where:

The sum of all two - digit natural numbers which are divisible by 3 is 1665

Answer:

Read below.

Step-by-step explanation:

x will represent the number

[tex]\frac{1}{2} x-7=1\frac{5}{10} \\\\\frac{1}{2} x-7=1\frac{1}{2}\\\\x-14=3\\\\x=17[/tex]

I don't know you answer choices because they don't really make sense but change them and I'll edit this. Or it could already be one in my working.

Answer:

B

Step-by-step explanation:

because b x b is equals to b raised to the power of 2

The expression that is equivalent to b x b will be b².

For this question to be solved, you simply have to multiply the values given. In this case, you're multiplying the same value twice and this will simply be raised to the power of 2.

Therefore, based on the question asked, b × b will be:

= b × b

= b²

Therefore, the value of b × b is b².

Read related link on:

https://brainly.com/question/16687046

Answer:

Step-by-step explanation:

We'll write each one of these statements into an algebraic equation. The word "is" means "=", the words "more than" mean "+", and "difference" means subtraction. x will be one number, and y will be the other number. The first sentence, then, in an algebraic equation, is

x = 2y + 7

The second equation, then, is

x - y = 22

Since we know from the first equation what x is equal to, we will sub in what x equals into the second equation in place of x:

2y + 7 - y = 22 and

y + 7 = 22 so

y = 15.

Sub that in for y to solve for x:

x - 15 = 22 so

x = 37

Answer:

its 37

Step-by-step explanation:

Answer:

The required probability is:

[tex]\dfrac{1}{9}[/tex]

Step-by-step explanation:

It is given that Emma has two fair dice.

To win, she needs to score 5 using both dice.

Cases, where she can have 5:

{(1,4), (4,1), (2,3), (3,2)}

Let the event be A that she gets a score = 5

Total number of favorable cases, n(A) = 4

Total number of cases for throw of 2 dice, n(S) = 36

These are:

{

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

}

Formula for probability of an event E  is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

or

[tex]P(E) = \dfrac{\text{n(E)}}{\text {n(S)}}[/tex]

Using the above formula, the required probability:

[tex]P(A) = \dfrac{\text{n(A)}}{\text {n(S)}}\\\Rightarrow \dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]

So, the required probability is [tex]\dfrac{1}{9}[/tex].

Answer: no it’s not

Step-by-step explanation:

it’s a square

Answer:

37.68 ft

Step-by-step explanation:

d = 2r = 2*6 = 12

so C = 3.14 * 12 = 37.68 ft

Answer:

6 hours

Step-by-step explanation:

There is a direct fee of 2 dollars, so 20-2=18. Then, to figure out how many hours you can go, divide 18/3, which is 6.

You can drive 6 hours.

Hope this helps!

Answer:

By using the given information in the diagram, the value of x is 20.

Step-by-step explanation:

From looking at the diagram, the triangles appear to be similar. This means that they are going to have the same ratios between each side.

We are given two measurements on one side of the triangle, 11 and 121. We can find the ratio of these sides by dividing 121 by 11.

121 ÷ 11 = 11

So, the ratio between the two triangles is 11 which means that the ratio for the rest of the sides of the triangle is going to have a ratio of 11. Knowing this, we can turn this into a equation to find the value of x.

[tex]\frac{121}{11} = \frac{5x+10}{10}[/tex]

Cross multiply the terms.

1210 = 55x + 110

Subtract 110 from both sides of the equation.

1210 - 110 = 55x + 110 - 110

1100 = 55x

Divide 55 from both sides of the equation.

1100/55 = 55x/55

20 = x

So, the value of x is 20.

Answer:

First graph -2/3x+6 (Slope of -2/3)

(Y intercept of 6)

Then shade everything under that line

Answer:

The cases are when a-b = 0 and when a = b

Step-by-step explanation:

An expression is termed as undefined (not to exist) if the denominator of the expression is zero. Given the expression a/a-b, the denominator of the expression is a-b. For the expression to be undefined, the expression at the denominator must be equal to zero i.e a-b = 0

If a - b = 0, then a = 0+b; a = b

Another case for the function not to exist is if a = b

Answer:

A & D

Step-by-step explanation:

=> 3x²+2x-5 = 0

=> Using Mid-term Break Formula

=> 3x²-3x+5x-5 = 0

=> 3x(x-1)+5(x-1) = 0

=> (3x+5)(x-1) = 0

Either,

3x+5 = 0    OR   x-1 = 0

x = [tex]-\frac{5}{3}[/tex]        OR    x = 1

Answer:   x = 1       and        x = 5/3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x) =x^2[/tex] is, in vertex form,

[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.

g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is

[tex]g(x)=-x^2-4[/tex], choice D in your list.

Answer:

D

Step-by-step explanation:

The opposite side of function f(x) is g(x). So -x².

The y-intercept is -4.

- x² - 4

Answer:

A

Step-by-step explanation:

Answer:

[tex]P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}[/tex]

Possible values of x: Any from 0 to 5.

[tex]P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807[/tex]

[tex]P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015[/tex]

[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087[/tex]

[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323[/tex]

[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835[/tex]

[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243[/tex]

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this question:

[tex]n = 5, p = 0.3, q = 1 - p = 0.7[/tex]

So

[tex]P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}[/tex]

Possible values of x: 5 trials, so any value from 0 to 5.

For each value of x calculate p(☓ =x)

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807[/tex]

[tex]P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015[/tex]

[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087[/tex]

[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323[/tex]

[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835[/tex]

[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243[/tex]

Answer:

$58.80

Step-by-step explanation:

Step 1: Multiply

98.00(0.4) = 39.20 <== This shows how much $ is taken off because of the discount

Step 2: Subtract

98.00 - 39.20 = $58.80

$39.20

Step-by-step explanation:

Start off by multiplying 98 with 0.40... Then you'll get your answer!!!!

Answer:

g(1) = 1.8696

g(2) = 1.8662

Step-by-step explanation:

Simply plug in the x values into the equation in a calc and you should get your answer.

Answer:

Solution,

[tex]f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114[/tex]

hope this helps.

Good luck on your assignment..

Answer:

-114

Step-by-step explanation:

To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.

f(x) = -4x + 5x

f(6) = -4(6) + 5(6)

f(6) = -4(36) + 30

f(6) = -144 + 30

f(6) = -114

The answer is -114.

Answer:

12 ft² :)

Step-by-step explanation:

Area of a parallelogram = base * height

4 * 3 = 12

Area of the parallelogram = 12 ft²