The histogram shows the number of laps completed by swimmers on a team during practice.
A. which interval contains the most values?
B. How many swimmers are on the team?
C. What percent of the swimmers swam more than 14 laps? Round o the nearest tenth of a percent.
Explain.

Answer:

(-2, -4)

Step-by-step explanation:

y = f(x) = ax²+bx +c

given the vertex is (3, -4)

=> the symetry axis: x = 3

x = -b/2a = 3

so, -b = 6a => b = -6a

the function f(x) = x²-6x + 5

g(x) = f(x+5)

g(x) = (x+5)²-6(x+5)+5

g(x) = x²+10x+25-6x-30+5

g(x) = x²+4x

=> a=1, b=4

find the vertex of the function g :

the symetry axis: x= -4/2(1) => x = -2

y = g(-2) = (-2)²+4(-2)= 4-8 = -4

so, the vertex is (-2, -4)

Answer:

Step-by-step explanation:

Vertex form of a quadratic function:

We have (h, k) = (3, -4)

The function f(x) is:

The function g(x) is:

g(x) = f(x + 5) =

         (x + 5 - 3)² - 4 =

         (x + 2)² - 4

Vertex of g(x) is:

Answer:

5x

Step-by-step explanation:x

Answer:

Sin A = 5/13,

Cos A = 12/13,

tan A = 5/12

CSC A = 13/5

Sec A = 13/12

Cot A = 12/5

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

3x + 2y = 16 → (1)

2x + y = 9 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 4x - 2y = - 18 → (3)

Add (1) and (3) term by term to eliminate y

- x = - 2 ( multiply both sides by - 1 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

3(2) + 2y = 16

6 + 2y = 16 ( subtract 6 from both sides )

2y = 10 ( divide both sides by 2 )_

y = 5

solution is (2, 5 )

Answer:

3 < x < 11

Step-by-step explanation:

triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side

if 'x' is the third side then:

x + 4 > 7

7 + 4 > x

therefore,  'x' must be greater than 3 and less than 11

The value of the third side should be < 11 so, it cannot be 11, the correct option is C.

A triangle is a polygon with three sides, three vertices and three angles.

The two sides of a triangle are  4 and 7

According to the property of sides of a triangle, The measure of the third side of a triangle is always less than the sum of the two sides.

The sum of the sides is 4+7 = 11

Let the third side be x

then,

x < 11

The x cannot be 11.

The missing options are

A. 4

B. 7

C. 11

D. 5

To know more about Triangle

https://brainly.com/question/2773823

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Equation = 21/7=?

Revision: 7 x ? = 21

7+7+7 = 21

7 x 3 = 21

21/7 = 3

Answer = 3

Answer:

2(2x+x-10)

Step-by-step explanation:

The common factor of this expression is 2 so when you factor out a 2 you have to divide everything in the expression by 2.

Answer: (−2)(+2)(/2+5)

Answer:

is it timed, because i need like 20 mins to answer this question.

Step-by-step explanation:

Answer:

Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.

Answer:

75 cm

Step-by-step explanation:

150÷2 = 75

Good luck with your exam :)

Answer:

75

Step-by-step explanation:

Essentially this question for the radius as it ask for the distance from the middle of the pit to the outside of the pit.

We are given the diameter (150) which is a straight line through the middle from one end to the other

To find the radius given the diameter you simply divide by 2

So answer = 150/2 = 75

Answer:

50-(5+18)

=50-23

=27

3x=27

x=9

Answer:

x = 9

Add 5 and 18, and you will get 23. Then add 9 and 23 three times.

5 + 18 = 23

23 + 9 + 9 + 9 = 50

Answer:

k = 8.4, j = 13.1

Step-by-step explanation:

Solve for k:

[tex]tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k[/tex]

Solve for j:

[tex]8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j[/tex]

Answer:

k = 10 tan (40) = 8.39 (to 2 decimals)

J = 10 / cos(40) = 13.05 (to 2 decimals)

Step-by-step explanation:

It is SOH CAH TOA, or

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Using SOH CAH TOA,

tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)

cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)

Answer: 20 laps

Step-by-step explanation:

Given

Roger just ran 5 laps and completes 20% of his goal

Suppose his goal is x laps

So, 20% of x must be equal to 5

[tex]\Rightarrow 20\%\times x=5\\\Rightarrow 0.2x=5\\\\\Rightarrow x=\dfrac{5}{0.2}\\\\\Rightarrow x=\dfrac{50}{2}\\\\\Rightarrow x=25\ \text{laps}[/tex]

So, he needs 20 more laps to complete his goal.

Answer:

2 x ^2  −  5 x  −  3

Step-by-step explanation:

Answer is the problem in standard form then the y-intercept would be -3

Answer:

Available credit :- the amount the consumer currently owes.

Previous balance :- the amount owed by the consumer before the current billing cycle

new balance :- the amount available for the consumer to spend.

Hope this answer is right!!

Answer:

AVAILABLE CREDIT- the amount the consumer currently owes.

PREVIOUS BALANCE- the amount owed by the consumer before the current billing cycle

NEW BALANCE-the amount available for the consumer to spend.

Step-by-step explanation:     PLATO

Answer:

below

Step-by-step explanation:

three cards angles are greater than 100°

total cards = 8

probability = 3/8

Answer:

Below in bold.

Step-by-step explanation:

cot = adjacent side / opposite side = 16/63

So the  hypotenuse = √(16^2 + 63^2)

= √4225

= 65.

So csc A = hypotenuse /opposite side

= 65/63

Answer:

N=3

Explanation:

Look at image below

Answer:

[tex]A'=(1, 9), \\B'=(6,9),\\C'=(1,4)[/tex]

Step-by-step explanation:

Notice how [tex]\vec{v}[/tex] has a tail at (8,4) and a head at (2,2), which means the x-coordinate is translated 6 units to the left and the y-coordinate is translated 2 units down.

If [tex]\triangle ABC[/tex] were to be translated along this vector, its vertices should follow the vector.

Therefore, the new points of [tex]\triangle ABC[/tex] will be 6 units to the left of their initial x-coordinate and 2 units below their initial y-coordinate.

[tex]A(7, 11)\implies A'(1, 9), \\B(12, 11)\implies B'(6, 9), \\C(7, 6)\implies C'(1, 4)[/tex]

C, 3 units translated to the left due to the +3 inside the bracket, vertically reflected on the x-axis as it is negative outside the bracket and translation 1 unit up because of the +1 outside the brackets.

Answer:

15.65 units

Step-by-step explanation:

Given data

x1=-5

y1=-10

x2=2

y2=4

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((2-(-5))²+(4-(-10))²)

d=√(2+5)²+(4+10)²

d=√7²+14²

d=√49+196

d=√245

d=15.65 units

Hence the distance between the points is 15.65 units

Answer:

3cm

Step-by-step explanation:

A parallelogram is  quadrilateral that has two pairs of parallel sides. The opposite sides  equal in length

Area of a parallelogram = base x height

18cm² = 6cm x height

height = 18cm² / 6cm = 3cm

Given :-

To Find :-

Answer :-

We know that , if ,

=> √{ab}

It can be written as ,

=> √a × √b ,

Therefore ,

=> √{ 16 × 4 }

=> √16 × √4

Option D is correct !

Write the scale of the drawing as a fraction. Put the shorter length in the numerator.

[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]

First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.

[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]

Write the scale factor as a ratio, using a colon

7/100   →  7:100

The scale factor is 7:100.

[tex] \\ [/tex]

#CarryOnLearning!

Answer:

$52.00

Step-by-step explanation:

if he makes 13.00 per hour, for four hours, you just times 13 by 4 to get 52.

Answer:

52

Step-by-step explanation:

Multiply 13 and 4 to get $52.

Answer: 0.214

Step-by-step explanation:

There are a total of 14 marbles in the bag, with only 3 being red. 3/14 converts to 0.214

The period represents how long it takes go from one max to the next max (ie peak to peak). It also represents going from min to min.

======================================================

Explanation:

It reaches the max at 10 seconds, and then it reaches the min at 55 seconds. This is a timespan of 55-10 = 45 seconds. This is exactly half the period. It doubles to 2*45 = 90 seconds. This is the time period between any two points in time when you're at the max height (from one max to the next adjacent max).

So you're at the max height at 10 seconds, then min at 55 seconds, then the max again at 100 seconds. Note how 100-10 = 90.

The period of any trig function is basically telling us when the function or cycle repeats itself. Once we reach the peak again, the ride repeats itself from before.

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Notes:

Answer:

u can use the hit and trial method for this