What is the range of the ordered pairs shown in the graph?

{–4, –3, –2, –1}


{–4, –3, 1, 3}


{–5, –3, –2, 3}


{–5, –3, 1, 3}

Answer:

The medals can be awarded in 1,320 possible ways.

Step-by-step explanation:

Given that a gold, a silver, and a bronze medal are awarded in an Olympic event, to determine in how many possible ways can the medals be awarded for a 200-meter sprint in which there are 12 runners, the following calculation must be performed:

12 x 11 x 10 = X

12 x 110 = X

1,320 = X

Therefore, the medals can be awarded in 1,320 possible ways.

36% I think.... Because there's 100 ppl and 36 of them like cats

Answer: Yes

Step-by-step explanation:

Given

Kwasi earned [tex]\$60[/tex] in babysitting

He spends 40% of the money in buying drinks

Money spend is given by

[tex]\Rightarrow 60\times 40\%\\\Rightarrow \$24\\\text{Remaining amount is}\\\Rightarrow 60-24=\$36[/tex]

So, Kwasi has enough money left to buy a skateboard.

Answer:

A = 450(1.1)^x

Step-by-step explanation:

Since the animal decreases by 10% each year, we will use the compound interest formula to find the required equation

A = P(1+r)^t

P is the number of animals = 450

r is the rate = 10% = 0.1

t is the time = x

Substitute into the formula;

A = 450(1+0.1)^x

A = 450(1.1)^x

This gives the required expression

Answer:

16/52

Step-by-step explanation:

A U B= A + B - A ∩ B

A= 4/52

B= 13/52

A∩B= 1/52 (it's 1/52 because there is only one 7 of diamonds in the deck)

4/52+13/52-1/52= 16/52

Step-by-step explanation:

secx=1/cosx

=1/(root of 11/6)

=6/root 11

=6root 11/11

Answer:

sec θ = [tex]\frac{6\sqrt{11} }{11}[/tex]

Step-by-step explanation:

Using the identity

sec x = [tex]\frac{1}{cosx}[/tex]

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex] , then

secθ = [tex]\frac{6}{\sqrt{11} }[/tex] × [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex] = [tex]\frac{6\sqrt{11} }{11}[/tex]

Answer:

4s+4st-21-7t

Step-by-step explanation:

(7s-21)-(3s-4st+7t)

7s-21-3s+4st-7t

7s-3s-21+4st-7t

4s-21+4st-7t

4s+4st-21-7t

Answer:

360°

Step-by-step explanation:

360° because ABC is 180°

Answer:

the water will rise 10 in each hour after 4 hours the water will be 40 in deep and it will take 8 hours for the water to reach a depth of 80 in

The water rises 10 inches each hour. The water is 4 inches deep is the water after four hours. It will take 8 hours for the water to reach a depth of 80 inches.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A pipe cracked overnight and started to leak into a basement.

The graph represents the depth (d) of the water over time (t).

As per the given graph, the required solution would be as:

Take two points (1, 10) and (5, 50) in the given graph

The linear function will be :

d - 10 = (50-10)/(5-1)(t - 1)

d - 10 = (40/4)(t - 1)

d = 10(t - 1) + 10

d = 10t - 10 + 10

d = 10t

Here slope of the given function is 10, which means 10 inches the water rise each hour.

The value of time (t) = 4 hr corresponds to the depth of water (d) is

d = 10(4) = 40

So, the water is 40 inches deep is the water after four hours

The value of depth of water (d) = 80 in corresponds to the time (t) is

80 = 10t

t = 80/10 = 8

So, It will take 8 hours for the water to reach a depth of 80 inches

Learn more about the graphs here:

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Answer:

The force of gravity will cause your vehicle to speed up when going downhill, and slow down when going uphill. ... Traction enables your tires to grip to the road and control your vehicle. Without traction, your car would not be able to accelerate, stop, or turn.

Step-by-step explanation:

Answer:

4x^2−1

Step-by-step explanation:

Answer:

The average weight is 9 19/40

Step-by-step explanation:

To find averages, you add all the quantities and divide by the amount of quantities (9.5+7+8.5+10 5/8+11.75 /5)

Hope this helps! Have a nice day!

Answer:

0.2222222222222222...

Step-by-step explanation: if not im sorry

Answer:

2.08008

so its = 2.1

i think

Answer:

Good for him.

Step-by-step explanation:

Answer: Choice C

sin(26) = x/10

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

Explanation:

With respect to the 26 degree angle, the x is the opposite side and the 9 is the length of the adjacent side.

We can say tan(26) = x/9 because tangent is the ratio of opposite over adjacent. In other words, tan(angle) = opposite/adjacent

Unfortunately, tan(26) = x/9 is not an answer choice.

Luckily though, we have other trig ratios to work with.

The sine ratio ties together the opposite side and hypotenuse

sin(angle) = opposite/hypotenuse

sin(26) = x/10

---------

Extra info (optional section)

Solving for x leads to...

sin(26) = x/10

10*sin(26) = x

x = 10*sin(26)

x = 4.38371 approximately

Also, note how cos(26) = 0.89879 approximately, which is fairly close to 9/10 = 0.9. This indicates some rounding error is going on when your teacher is displaying either the 9, the 10, or the 26 degree angle.

Answer: Last one I think

Step-by-step explanation:

Answer:

Sorry for being late!

the answer is D

Step-by-step explanation:

I just took the exam

Answer:

6,008.3

Step-by-step explanation:

[tex]V=\pi r^{2} h\\V=\pi 7.5^{2} 34[/tex]

Answer:

2nd one is the nearest tenth

Step-by-step explanation:

V=πr²h

Solving it

V=22/7×7.5×7.5×34

V=6010.714286 cm ³

Answer:

B

Step-by-step explanation:

[tex]V = \frac{l*w*h}{2} = \frac{18*12*9}{2} = \frac{1944}{2} = 972[/tex]

Answer:

1944 cm cubed

Step-by-step explanation:

Volume = L*W*H

18 * 9 = 162

12 * 162 = 1944

1944

Answer:  C

Step-by-step explanation: z-value comes from equatio

 z = number of points - average points ) / deviation.

z = 0,5 is over average value and 0,5 standard deviation higher than average result.

Answer:

the answer is c. Ahmad's test score is 0.5 standard deviations above the mean for all students taking the same test.

Answer:

2/3

1

3/2

Step-by-step explanation:

[tex]\frac{27}{7} n>\frac{4}{3}[/tex]

[tex]n>\frac{7}{27}*\frac{4}{3}[/tex]

[tex]n>\frac{28}{81}[/tex]

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-1, 4) and (0, 2)

[tex]=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2[/tex]

Therefore, the slope of the line is -2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-2x+b[/tex]

2) Determine the y-intercept

[tex]y=-2x+b[/tex]

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

[tex]y=-2x+2[/tex]

I hope this helps!

Answer:

P(-8,6), Q(-5,2), R(2,1)

The measure of the angle of the triangle is ∠A = 51.3178°

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides are

AB = 24 units

AC = 15 units

Now , from the trigonometric relations , we get

cos θ = adjacent / hypotenuse

So , cos θ = 15 / 24

cos θ = 0.625

Taking inverse on both sides , we get

θ = cos⁻¹ ( 0.625 )

θ = 51.3178°

Hence , the measure of angle ∠A = 51.3178°

To learn more about trigonometric relations click :

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Step-by-step explanation:

a12 = 45 + (12-1)(-6)

= 45-66= -21

Step-by-step explanation:

yes, the other answer is correct.

just to explain a little bit more :

the sequence is clearly built by subtracting 6 from one element to the next.

in other words :

a1 = 45

a n = a n-1 - 6

in such a sequence you do the same operation/ calculation over and over again - once per new element.

the operation in this example is simple - as mentioned : subtract 6.

a1 just gives us a starting value (no operation done for for it) zu, the operation is done one time less than the running number of the element.

therefore, the general element generation algorithm/ formula is :

a n = a1 - (n-1)*6