Simplify to a single power of 2

Answer:

The speed of the jet in still air is 260 miles per hour.

Step-by-step explanation:

Given that a small jet can fly 858 miles in 3 hours with a tailwind but only 702 miles in 3 hours into a headwind, to find the speed of the jet in still air the following calculation must be performed:

858/3 = 286

702/3 = 234

(286 - 234) / 2 = X

52/2 = X

26 = X

286 - 26 = 234 + 26

260 = 260

Therefore, the speed of the jet in still air is 260 miles per hour.

Answer:

[tex]P(Work | Senior) = 0.14[/tex]

Step-by-step explanation:

Given

The attached table

Required

[tex]P(Work | Senior)[/tex]

This is calculated using:

[tex]P(Work | Senior) = \frac{P(Work \ n\ Senior)}{P(Senior)}[/tex]

This gives:

[tex]P(Work | Senior) = \frac{n(Work \ n\ Senior)}{n(Senior)}[/tex]

From the table:

[tex]n(Work \ n\ Senior) = 5[/tex]

[tex]n(Senior) = 25 + 5+ 5 = 35[/tex]

So:

[tex]P(Work | Senior) = \frac{5}{35}[/tex]

[tex]P(Work | Senior) = 0.14[/tex]

Answer:

14%

Step-by-step explanation:

add 25+5+5 (because that is all the numbers in the 'Seniors' row) and then take the 5 that is in the 'Work' column and put that over 25. (5/25 fraction as a percent is 14).

Answer:

Length: 17 yards

Width: 15 yards

Step-by-step explanation:

If the length is 2 yards longer than the width, then the width is w, and the length is w+2

Equation for perimeter is [tex]P =2l+2w[/tex], where:

P = Perimeter

l = length

w = width

Plug in the values:

64 = 2(w+2) + 2w

Distribute:

64 = 2w + 4 + 2w

Combine like terms:

64 = 4w + 4

Subtract 4 from both sides:

60 = 4w

Divide 4 from both sides:

15 = w

So if w = 15, then

Width = w, which is 15 yards.

Length = w+2, which is 15+2 = 17 yards.

Hope this answer helped! :)

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

Volume of a cylinder.

Step-by-step explanation:

The given equation is :

[tex]V=\pi r^2 h[/tex]

Where

r is the radius

h is the height

This equation is used to find the volume of a cylinder.

For example, a cylinder having radius of 7 units and height of 10 units, its volume will be :

[tex]V=\dfrac{22}{7}\times 7^2\times 10\\\\V=1540\ \text{unit}^2[/tex]

So, the given equation is used to find the volume of a cylinder.

Answer:

2.26

Step-by-step explanation:

The volume of a cylinder is equal to pi*r^2*h

3.14*r^2*25=400

r^2=5.09554140127

r~2.26

Answer:

Step-by-step explanation:

r= roughly 2.26

r= square root v/pi x height

Answer:

2

Step-by-step explanation:

[tex]\frac{7+sin^{2}\theta+cos^{2}\theta}{4sin^{2}\theta+4cos^{2}\theta}} = \frac{7+(sin^{2}\theta+cos^{2}\theta)}{4(sin^{2}\theta+cos^{2}\theta)}} =\frac{7+(1)}{4(1)}}=\frac{8}{4} =2[/tex]

[tex](sin^{2}\theta +cos^{2}\theta=1)\\[/tex]

9514 1404 393

Answer:

  B. infinite set of points on the line

Step-by-step explanation:

The lines are identical, so the set of points they have in common is an ...

  infinite set of points on the line

Answer:

r≈23.4cm

Step-by-step explanation:

The value of angle m∠3 = 142°.

When two lines meet at a point, an angle is created. An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character ∠. The circularity or rotation of an angle is often measured in degrees and radians.

According to the question, Lines L and M are parallel to each other.

The value of m∠8=38°

By the property of vertically opposite angles, m∠6=38°.

Now, by the property of alternate angles, m∠2= m∠6=38°.

Again, By the property of vertically opposite angles,m∠4=m∠2=38°.

As the sum of angles of a straight line = 180°

m∠3+m∠4 = 180°

m∠3+38°=180°

m∠3=180°-38°

m∠3=142°

Learn more about angles here:

https://brainly.com/question/25716982

#SPJ1

Answer: 14.4units I think

Answer:

D: 200 rulers for $30.00. You have quite a few choices! You may need to find out the percentage [%] of each first.

Step-by-step explanation:

A: 1 Ruler for $0.25

B: $0.30

C: $0.20

D: $0.15

Answer:

[tex]\\(x- -1)^{2} + (y- -1)^{2} = 13[/tex]

so, -1, -1 and 13

9514 1404 393

Answer:

  42.9 ft

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

where Opposite in this case is the height of the tree, and Adjacent is the distance to the tree.

  tan(47°) = height/(40 ft)

  height = (40 ft)·tan(47°) . . . . . multiply both sides by (40 ft)

  height ≈ 42.9 ft

The tree is about 42.9 feet tall.

Answer:

---

Step-by-step explanation:

4w²+9w+7

cannot be factored.

---

hope it helps(sry)

Answer:

The Lower bound of the confidence interval to the nearest integer  =  6

Step-by-step explanation:

Calculate  the Lower bound of the confidence interval

First step : Calculate the mean and standard deviation for each groups

Group 1 ( group with music )

N = 9

Total ( ∑x ) = 788

mean = 788 / 9 = 87.55

Variance ( s^2 ) = 39.777

s = [tex]\sqrt{39.77}[/tex] = 6.31

Group 2 ( group without music )

N = 9

∑x = 670

mean = 670 / 9 = 74.44

variance ( s^2 ) = 72.27

s = [tex]\sqrt{72.27}[/tex]  = 8.50

Next : Calculate the pooled variance , standard error and confidence interval

Pooled variance ( Sp^2 ) : 896.43 / 16 = 56.03

standard error :  S ( M1 - M2 ) = √((56.03 / 9) + (56.03 / 9)) = 3.53

confidence interval : μ1 - μ2 = ( M1 - M2 ) ± Ts ( M1 - M2 )

                                              = 13.1111  ±  (2.12 * 3.53 )

                                              = ( 5.630 ,  20.591  )

The Lower bound of the confidence interval to the nearest integer  =  6

Answer:

12

Step-by-step explanation:

2(5+1) =

2(6) =

12

Answer:

=no of children who like oatmeal/toatal population*100%

=15/50*100%

=(1500/50)%

=30%

Step-by-step explanation:

Answer: 3 miles.

Step-by-step explanation:

Since we are given the information that Ms. Wilson walked ¾miles each day. To calculate the total distance that Ms. Wilson will walk for 4 days, we have to multiply the distance walked each day by 4.

This will be:

= ¾miles × 4

= 3 miles

Therefore, Wilson walked a distance of 3 miles for the 4 days.

Given:

The equation is:

[tex]2\sum_{n=3}^7n^2=\sum_{n=3}^72n^2[/tex]

To find:

Whether the equation is true or not.

Solution:

We have,

[tex]2\sum_{n=3}^7n^2=\sum_{n=3}^72n^2[/tex]

Taking LHS, we get

[tex]LHS=2\sum_{n=3}^7n^2[/tex]

[tex]LHS=2[(3)^2+(4)^2+(5)^2+(6)^2+(7)^2][/tex]

[tex]LHS=2[9+16+25+36+49][/tex]

[tex]LHS=2[135][/tex]

[tex]LHS=270[/tex]

Taking RHS, we get

[tex]RHS=\sum_{n=3}^72n^2[/tex]

[tex]RHS=2(3)^2+2(4)^2+2(5)^2+2(6)^2+2(7)^2[/tex]

[tex]RHS=2(9)+2(16)+2(25)+2(36)+2(49)[/tex]

[tex]RHS=18+32+50+72+98[/tex]

[tex]RHS=270[/tex]

Here, [tex]LHS=RHS[/tex].

Therefore, the given equation is true.

Answer:

Step-by-step explanation:ly/3fcEdSxHere's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]

Answer:

273

Step-by-step explanation:

plato 2022

Answer:

(x+5) metres

Step-by-step explanation:

correct question

The rectangle below has an area of x^2+8x+15 square meters and a width of x+3 meters. What expression represents the length of the rectangle?

Area of the rectangle = Length * width

Factorize the area

A(x) =  x^2+8x+15

A(x) = x^2+3x+5x+15

A(x) = x(x+3) + 5(x+3)

A(x) = (x+3)(x+5)

Since the width is x+3, the length of the rectangle will be (x+5) metres

Answer:

E. j<5.5

Step-by-step explanation:

Step by step explanation

Answer:

600 decimeters

Step-by-step explanation:

multiply the meter length by 10

60x10=600

Answer:

$720 divided by 2 = $360

$360-106=$254

$360+106=$466

$254+$466=$720

Person 1 has $254

Person 2 has $466

Answer:

175

Step-by-step explanation:

Answer:

2.5 feeeeeeeeeeeeeeeeeeeet i think