Josiah had 128 toy cars. If he organizes them into groups of 7 , how many cars will be in the final group?

Answer:

[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]

Step-by-step explanation:

To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3[tex]\pi[/tex]/2]

Proof -

We know that,

Average value of f in the interval [a, b] is -

[tex]f_{ave}[/tex] = [tex]\frac{1}{b - a}\int\limits^b_a {f(x)} \, dx[/tex]

Now,

Here a = 0, b = [tex]\frac{3\pi }{2}[/tex], f(x) = [tex]5sec^{2}(\frac{x}{6} )[/tex]

Now,

[tex]f_{ave}[/tex] = [tex]\frac{1}{\frac{3\pi }{2} - 0}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{2 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{10 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ][/tex]

      = [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ][/tex]

      = [tex]{\frac{10 }{3\pi }}[ {1 - 0 } ][/tex]

      = [tex]{\frac{10 }{3\pi }[/tex]

⇒[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]

Answer: C. y=1/5x+1

Step-by-step explanation:

Answer:

9.8 in²

Step-by-step explanation:

If A, B and C are the angles of a triangle and a, b, c are the repective sides opposite the angles, then the area of the triangle is given as:

Area = (1/2)absin(C)

In ΔQRS, the area is:

Area = (1/2)rqsin(S)

∠S + ∠Q + ∠R = 180° (sum of angles in a triangle)

∠S + 40 + 101 = 180

∠S = 39°

Using sine rule to find q:

[tex]\frac{q}{sinQ} =\frac{r}{sinR} \\\\\frac{q}{sin40}=\frac{6.9}{sin101} \\\\q=\frac{6.9*sin40}{sin101} =4.52 \ inches\\\\Area\ of\ triangle \ QRS=\frac{1}{2}rqsin(S) =\frac{1}{2}*6.9*4.52*sin(39)=9.8\ in^2[/tex]

Answer:

can i see the rest of the problem...

Step-by-step explanation:

Answer:

Yeah me too buddy :(

Step-by-step explanation:

Answer:

$1.00

Step-by-step explanation:

5 (0.05) (4)= $1.00

hope this helps

Answer:

Options (1), (3) and (5)

Step-by-step explanation:

Coordinates of D → (2, 2)

Coordinates of E → (1, 6)

Coordinates of F → (5, 7)

Coordinates of G → (6, 3)

Length of ED = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                      = [tex]\sqrt{(2-1)^2+(2-6)^2}[/tex]

                      = [tex]\sqrt{17}[/tex]

Length of FG = [tex]\sqrt{(5-6)^2+(7-3)^2}[/tex]

                      = [tex]\sqrt{17}[/tex]

Length of GD = [tex]\sqrt{6-2)^2+(3-2)^2}[/tex]

                       = [tex]\sqrt{17}[/tex]

Length of EF = [tex]\sqrt{(1-5)^2+(6-7)^2}[/tex]

                     = [tex]=\sqrt{17}[/tex]

Since, all sides of the given quadrilateral are equal in length, quadrilateral will be a square.

Therefore, diagonals EG and DF will be perpendicular, equal in measure, congruent and will bisect each other.

Options (1), (3) and (5) are the correct options.

Answer:

The manager should use a measure of center to summarize how many projects the employees that complete the least projects complete.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

4x + 18

Step-by-step explanation:

This is called a composite function, meaning passing the range of one function as a domain of another function.

For f(f(x)), the inner-function's range is passed as the domain of the outer function.

We can do so by substitution,

The range of f(x) can be written as 2x + 6 for any defined x values,

So we will substitute 2x  + 6 as the 'x' of another function which is in this case

f(x) again, so it looks like this 2(2x+6) + 6 which can be simplified into

4x + 18

Assume 1 small bub side = 2cm

area = 2 × 2

= 4 cm²

total area of small bub

4 × 4 = 16cm²

area of big bub = total area of small bub

= 16cm²

one side of big bub

16 ÷ 4 = 4

1 small bub side : 1 big bub side

2 : 4

1 : 2

the side length of the large square is 2 times bigger than the side length of one small square.

Answer:

Since the exponent of the scientific notation is positive, move the decimal point 66 places to the right.

4000000

The expression 4 x [tex]10^6[/tex] in decimal notation is 4,000,000.

We have,

In scientific notation, a number is expressed as a product of a decimal number and a power of 10.

In the given expression, 4 x [tex]10^6[/tex], the base number is 4, and it is multiplied by 10 raised to the power of 6.

To convert this into decimal notation, we need to multiply the base number (4) by the power of 10 ([tex]10^6[/tex]), which means moving the decimal point six places to the right.

Starting with 4, we move the decimal point six places to the right, resulting in 4,000,000.

Thus,

The expression 4 x [tex]10^6[/tex] in decimal notation is 4,000,000.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

[tex](x+1)(17a-1)[/tex]

Step-by-step explanation:

We are given that

[tex]17ax+17a-x-1[/tex]

We have to factorize the given expression.

Pair up the terms

[tex](17ax+17a)+(-x-1)[/tex]

Now, taking common factor

[tex]17a(x+1)-1(x+1)[/tex]

Taking common (x+1)

[tex](x+1)(17a-1)[/tex]

Now, we get

[tex](x+1)(17a-1)[/tex]

This is required factors of given expression.

You're gonna get caught anyways, just come out. If you don't, figure out a way to undo it.

Answer: 88

The unknown angle in the left triangle is 80 since the sum of the angles in a triangle is 180.(180-60-40=80)

The unknown angle (the one that doesn't have a "?") is 36 since there's a straight angle which equals 180.(180-80-64)

Therefore the angle with the "?" is 88 since the sum of the angles in a triangle are 180(180-36-56)

Hope this helps!

Answer:

The slope is 1/2. The x-intercept is (2,0). The y-intercept is (0,-1)

Answer:

The slope is 1/2x and -1 is the (y) intercept

Step-by-step explanation:

m is the slope and b is the intercept

Answer:

x = 3

y = 0

Step-by-step explanation:

4(3) + 7(0) = 12

-8(3) - 14(0) = -24

Answer:

$125.60

Step-by-step explanation:

3.14*5 = 15.7

15.7*$8 = $125.60

HOPE THIS HELPS!!!! <3333

-Silver

Answer:

c.52

Step-by-step explanation:

if susan reads 130 pages in 2.5 days then we have to divide 130 and 2.5 which gives us 52 which kinda means she reads 52 pages per day i hope that clear

Answer

62

Step-by-step explanation:

Option (b) 1.00

Step-by-step explanation:

3.4×1.00 = 3.4

Answer:

1.00

Step-by-step explanation:

1.00 equals one therefore the actual equation is 3.4x 1 = 3.4

Or 3.4x1.00=3.4

Hope this helps.

Answer:

[tex]\frac{2}{3} * \frac{4}{5} = \frac{6}{15}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3} * \frac{4}{5} =[/tex]

The number line is missing from the question.

So, I will answer the question and also draw the number line to show the product.

[tex]\frac{2}{3} * \frac{4}{5} =[/tex]

[tex]\frac{2}{3} * \frac{4}{5} = \frac{6}{15}[/tex]

To represent this on a number line;

We draw a number line of 15 points, and place a dot on the 6th point.

This represents 6/15

See attachment

Answer:

C

Step-by-step explanation:

a) 55 > 48 > 27 > 12 > 0 ×

b) 62 > 40 > 9 > 3 < 25 ×

c) 1 < 8 < 13 < 29 < 42 ✓

d) 15 < 34 > 0 < 7 < 28 ×

Answer:

1,440 calories

Step-by-step explanation:

Divide 640 by 4 to get how many calories there are per scoop.

640 calories ÷ 4 scoops = 160 calories per scoop

Then, we can multiple 160 by 9 to get the calories in 9 scoops.

160 calories per scoop × 9 scoops = 1,440 calories per 9 scoops

Answer:

1,440‬

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

5ft x 4ft = 20ft / 2 = area =10     10 x 4 triangles = 10 x 4 = 40 + square= area, so 4 x 4 = 16 + 40 = 56ft

Hope this helps!

Answer:

2.4 per pound

Step-by-step explanation:

36÷15=2.4

how do i know this i used my brain

Answer:

1 /4

Step-by-step explanation:

Total number of candies produced per day = 80,000

Number of flavors made = 4

Since the number of each flavor produced are equal ;

Number of each flavor produced :

80000 /4 = 20000

Probability of selecting orange flavor :

Number of orange flavor / total candies produced

= 20000 / 80000

= 1/4