Which is the lower rate?
(a) 2,133 km in 6 hours
(b) 1,498 km in 7 hours

Answer:irst, write the scale factor. Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display. Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet

Step-by-step explanation:

9514 1404 393

Answer:

  [tex]f(x)=\left\{\begin{array}{ccc}3&\text{for}&-5\le x < 0\\1-x&\text{for}&0<x \le 5\end{array}\right.[/tex]

Step-by-step explanation:

The left section is defined at x = -5, but not at x = 0, so the interval for that definition is -5 ≤ x < 0. The function value on that interval is constant: 3.

The right section is defined a x = 5, but not at x = 0, so the interval for that definition is 0 < x ≤ 5. That section is a straight line with a slope of -1 and a y-intercept of 1. The function value on that interval can be written -x+1.

Then the piecewise definition is ...

  f(x) = {3, for -5 ≤ x < 0; -x+1, for 0 < x ≤ 5}

Answer: (2,-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rule for a rotation by 270° about the origin is:

Apply the rule to the point A, which has coordinates of (2, 1)

Answer:

4 years difference

Step-by-step explanation:

Step-by-step explanation:

it either b or c hope this help

Answer:

904.9 feet per minute

Step-by-step explanation:

The Angular distance can be calculated using below expression

S= r θ ..............eqn(1)

Where

θ = angular distance travelled

r= Radius= radius of 18 feet

But angular distance can also be expressed as

θ = wt...................eqn(2)

w= angular speed= 8 rev per minute= (8 × 2π)

t= time

Velocity can also be expressed as

V= s/t............eqn(3)

Where

V= velocity

s= distance

t= time

Substitute eqn(2) into eqn(3)

V=( r θ)/ t................eqn(4)

Substitute eqn(2) into eqn(4)

V=( r w t)/ t

V= r w ..............eqn(5)

V= 18×(8 ×2π)

=288π

= 904.9 feet per minute

Hence, the linear speed, in feet per minute, of the water. is 904.9 feet per minute

Answer:

The student with lower weight will move faster than the one with higher weight.

Step-by-step explanation:

The students are on roller skates and it is assumed that their wheels are identical. They are on a frictionless flat horizontal ground. According to Newton's Law F=ma

Mass of student 1 is 97 kg

Mass of student 2 is 61 kg

The force magnitude is assumed to be equal and acceleration is same. The student with higher weight will have lesser force exerted than the student with lighter weight.

Step-by-step explanation:

if to apply the Piphagorean theoreme, then one of the angles is 90° (opposite to the side with the length 5):

3²+4²=5²; ⇔ 9+16=25.

Answer:

[tex]33[/tex] times

Step-by-step explanation:

Distance between Earth and the sun [tex](D)[/tex] = 9 × [tex]10^{7}[/tex] miles = [tex]90,000,000[/tex] miles

Distance between Neptune and the sun [tex](d)[/tex] = 3 × [tex]10^{9}[/tex] miles = [tex]3,000,000,000[/tex] miles

Find [tex]\frac{d}{D}[/tex].

[tex]\frac{d}{D}=\frac{3,000,000,000}{90,000,000} =33.3[/tex] ≈ [tex]33[/tex]

Therefore,

Neptune is approximately [tex]33[/tex] times farther from the sun than earth

Answer:

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

Answer: 89,000

Step-by-step explanation:

Answer:

90,000

Step-by-step explanation:

88 = 90

Answer:

down below

Step-by-step explanation:

3,487, 651

(3 x 1,000,000) + (4 x 100,000) + (8 x 10,000) + ( 7 x 1,000) + (6 x 100 ) +

(5 x 10) + (1 x 1)

Step-by-step explanation:

Composite numbers are 32,35,and 49 .

I hope it's helpful!

Answer:

E  on Edge

Step-by-step explanation:

Answer and explanation:

First Prof. Murphy has to choose between two alternatives: gummy candy or licorice nibs

To find total choices, we only need to multiply number of sizes for each alternative and then add totals for each alternative together

So if Prof Murphy chooses gummy candy. He has sizes= 5 choices and types =3 choices, therefore he has 5×3= 15 choices for gummy candy

If he chooses licorice nibs, he has sizes = 2 choices and types= 2 choices, therefore he has 2×2= 4 choices for licorice nibs

Total choices: 15+4=19

He has 19 different options for selecting candy.

Since while selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs, and gummy candy packets come in five sizes, while packets of licorice nibs come in two, and if he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos, while if he chooses licorice nibs, he must choose between red and black, to determine how many choices does he have, the following calculation must be performed:

Therefore, he has 19 different options for selecting candy.

Learn more in https://brainly.com/question/238045

Answer:

35

Step-by-step explanation:

3x=28

x=7

no.of total students=35

Answer: +21

Step-by-step explanation:

Based on the information given, we are informed that at first down, a football team lost 16 yd and they after two downs, the team had an overall gain of 5 yd.

The number of yards that were gained on second down can be represented by x. We can then form the question as an equation as:

x - 16 = 5

x = 5 + 16

x = 21

The team gained 21 yards.

Answer:

Step-by-step explanation:

30 cm per year

now the tree is 5m

in 4 years the tree grew 4*30=120cm=1m 20 cm

the tree is 5+1.20 cm=6.20m tall

Answer: 22.5 hours

Step-by-step explanation:

Let t be the time taken by both of the pumps to drain the pool.

Given: Time taken by pump 1 to drain the pool alone= 9 hours.

Time taken by pump 2 to drain the pool alone= 3 hours.

If  both pumps are used​ simultaneously, then

[tex]\dfrac1t=\dfrac19+\dfrac13\\\\\Rightarrow\ \dfrac1t=\dfrac{1+3}{9}\\\\\Rightarrow\ \dfrac1t=\dfrac49\\\\\Rightarrow\ t=\dfrac94\\\\\Rightarrow\ t=2.25[/tex]

Hence, it will take 22.5 hours to drain the pool if both pumps are used​ simultaneously.

Answer:

g = 5/59

Step-by-step explanation:

Answer:

[tex]5144[/tex]

[tex]12[/tex]

Step-by-step explanation:

The function [tex]p=x^2-24x+5000[/tex] is incorrect as its roots are imaginary [tex]b^2-4ac=576-4\times 5000=-19424<0[/tex].

So, the correct function is

[tex]p=-x^2+24x+5000[/tex]

Differentiating with respect to [tex]x[/tex] we get

[tex]p'=-2x+24[/tex]

Equating with zero

[tex]0=-2x+24\\\Rightarrow x=\dfrac{24}{2}\\\Rightarrow x=12[/tex]

Double derivative of the function

[tex]p''=-2<0[/tex]

So, the function is maximum at [tex]x=12[/tex]

Maximum profit is

[tex]p=-x^2+24x+5000=-12^2+24\times 12+5000\\\Rightarrow p=5144[/tex]

The maximum profit made by the company is [tex]5144[/tex]

The number of clients required to make the maximum profit is [tex]12[/tex].

Answer: See step by step

Step-by-step explanation: Angle 2 and 3 are vertical angles since they both share a vertex and has cross intersecting lines. Angle  6 and 7 are supplementary angles because they forma linear pair.

Answer:

I have multiple answers for this.

Verticle Angles: 2 &4, 3&1, 6&8, 7&5

Supplementary Angles: 2&1, 2&3, 3&4, 1&4, 6&7, 7&8, 6&5, 5&8

Step-by-step explanation:

Verticle angles are aross from one another, not next to each other, while the Supplementary angles ARE next to each other and not across from one another. I hope this helps you :)

Answer:

21

Step-by-step explanation:

6x1/2x7

6 x 1/2=3, 3 x 7=21

I hope this helps and have a nice day!

Answer:

9

Step-by-step explanation:

If its perpendicular, it probably bisects EH, so just split it in half.

Answer:

82% of 50 is 41

Step-by-step explanation:

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Answer:

unit vector = -0.891i + 0.454j

Step-by-step explanation:

Given that;

magnitude of unit vector =

angle of 153° degrees from the x axis, with a positive y component

{ second quadrant }

so, x and y components of the vector are;

x component = 1 × cos(153°) = - 0.891

y component = 1 × sin(153°) = 0.454

⇒ -0.891i + 0.454j

Therefore, unit vector = -0.891i + 0.454j

Answer:

-5a-4

Step-by-step explanation:

7a-8-12a+4

7a-12a-8+4

=-5a-4