Answer:
a. 37.5
b. 25
Step-by-step explanation:
a. Rate of change the first 4 seconds can be calculated using the points (0, 0) and (4, 150):
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{150 - 0}{4 - 0} = \frac{150}{4} = 37.5 [/tex]
b. Rate of change between 8 seconds and 12 seconds using the points (8, 150) and (12, 250):
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{250 - 150}{12 - 8} = \frac{100}{4} = 25 [/tex]
Please answer this!!
Answer:
3,724 cubic inches
Step-by-step explanation:
All you have to do is multiply 19•14•14
In 2000, the population of Snowy Egrets went from 5,000 individuals to 15,000 individuals. What is the growth rate over those 4 years?
Answer:
[tex]x=\sqrt[4]{3}-1[/tex] or [tex]x=0.316[/tex]
Step-by-step explanation:
To write this equation you would need to use this equation for growth.
Final amount=initial amount (1+growth rate)^time
We have the final amount, 15,000, the initial amount, 5,000, and the time, 4 years. Now we have to plug in the values. We can write the growth rate as x.
[tex]15,000=5000(1+x)^4[/tex]
Now start by dividing both sides by 5000.
[tex]\frac{15000}{5000} =(1+x)^4[/tex]
[tex]3=(1+x)^4[/tex]
Now you can find the fourth root of both sides to get rid of the exponent.
[tex]\sqrt[4]{3} =1+x[/tex]
Finally, subtract 1 from both sides.
[tex]x=\sqrt[4]{3}-1[/tex]
And, if allowed, you can use a calculator to find the value in decimal form which would be:
[tex]x=0.316[/tex]
which set represents a Pythagorean triple?
1, 2, 4
2, 4, 6.
3, 4, 10.
5, 12, 13.
Plz help thank you
Solve the following system by substitution.
22.
X + 2y = 0
-3-4=-2
4y = -2
A (2, -1)
B. (2, 1).
C. (4, -1)
D. (-2, -1)
Answer:
D
Step-by-step explanation:
surely and i think it's correct
Answer:
D is the correct answer
Step-by-step explanation:
plz help idk what is the answer will give a good review
Answer:
Step-by-step explanation:
I can't read it very well. If it says
5(6n-4)+2=68
30n-20+2=68
30n=86
n= 43/15 or 2 13/15
If it says
5(6n-4)-2=68
30n-20-2=68
30n=90
n= 3
I’m looking for x can someone help me
Answer:
x = 30°
Step-by-step explanation:
Since m and n are perpendicular, then
y + 70° = 90° ( subtract 70° from both sides )
y = 20°
thus 40 + y = 40° + 20° = 60°
Then
x + 60° = 90° ( subtract 60° from both sides )
x = 30°
A polygon with twelve sides is called a decagon.
True
O False
0
Answer:
False
Step-by-step explanation:
Answer:
False
The proper term would be dodecagon.
I need help please. Whoever answers first get brainiest!
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
help pls i’ll give out extra points
Answer:
The answer is similar, AA similar.
Step-by-step explanation:
The triangles are obviously similar; but we only know that because of the two identical angles. (AA)
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suppose that x and y vary inversely and x=1 when y=6. write a function that models the inverse variation. graph the function and find y when x=10
Answer:
Required Answer:-Table:-[tex]\boxed{\begin{array}{c|c|c|}x & 1 & 10 \\ y & 6 & ?\end{array}}[/tex]
Now come to formula[tex]\sf x \propto y [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x_1 y_2=x_2 y_1[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf 1×y_2=10\times6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y_2={\dfrac {10\times6}{1}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y_2=60 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf y_2=60}}}[/tex]
Pentru a culege nectar 45 de albine au vizitat, intr-o singura exeditie, unele 60 flori, iar altele 75 de flori . Stiing=d ca au vizitat imreuna 3120 de flori , sa se afle cate albine au vizitat cate 75 de flori.
Please answer this question shown in the picture! Thank you soooo much if you do! ;w;
Answer:
3.07 . 10^8.
Step-by-step explanation:
2.3 . 10^8 + 4.7 . 10^7
= 230,000,000 + 77,000,000
= 307,000,000
= 3.07 . 10^8.
Vera went to the local salon to get a haircut. The cost was $24. Vera tipped the hair stylist 18%. What was the total cost of the haircut including the tip? Round to the nearest cent.
Answer:
28.32
Step-by-step explanation:
The total cost of the haircut including the tip will be $28.32.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
It is given that Vera went to the local salon to get a haircut. The cost was $24. Vera tipped the hair stylist 18%.
SO,
18% = 18/100 = 0.18
18% of 24 = 0.18*24
= 4.32
The tip is $4.32
Adding this tip amount onto the original bill leads to;
4.32+24 = 28.32
Hence, the total cost of the haircut including the tip will be $28.32.
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Which of the number(s) below are potential roots of the function? q(x) = 6x3 + 19x2 – 15x – 28
Answer:
±2/3, ±7/2, ±14
Step-by-step explanation:
edge:) 2020
Answer: ±2/3, ±7/2, ±14
Step-by-step explanation: edge 2020
Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
16t^2 + 800t + 9000 = 0
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
t^2 + 50t + 562.5= 0
Factorize
-50±√2500-4(562.5)/2
t = -50±√2500-2250)/2
t = -50±15.81/2
t = -65.81/2 and -34.19/2
t = -32.91 and -17.09
4. determine whether the relation is a function(
(1, -4), (2, 1), (3, 4), (3, 3), (4, 2)
B. yes
C.no
Answer:
No, bacause each X (first value), need to have just once Y value (second one). Here you have two values for 3 (4 and 4)
Solve for x -10 + x = -12
Answer:
=-1
Step-by-step explanation:
−
1
0
+
=
−
1
2
{\color{#c92786}{x}}-10+{\color{#c92786}{x}}=-12
x−10+x=−12
2
−
1
0
=
−
1
2
11) Jonsey is standing at a cliff that is 5ft above sea level. He dives into the water and descends to a depth 8ft below sea level. How far did he travel?
Answer:
13ft
Step-by-step explanation:
5ft + 8ft=13ft
Answer:
-13Ft
Step-by-step explanation:
9) Five less than the square root of a number r
How can you use x- and y- intercepts to graph an equation
Answer:
Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.
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The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?
Answer:
$3900.71 is the amount of money subtracted from the next model
51099.29 is the cost of the second model
Step-by-step explanation:
(17) 60% of what is 24?
Answer:
Step-by-step explanation:
24*60%= 14.4
Answer:
14.4
Step-by-step explanation
3/5 x 24
3/5 x 24/1
3/5 x 24/1=3x24
5 x 1
= 3 x 24
5 x 1
72
5 x 1
72/5
what you do after that is you divide 72 and 5
72/5 = 14.4
so you answer is 14.4
hope this is right
can someone help asap!!:)
One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?
9514 1404 393
Answer:
5 and 15
Step-by-step explanation:
Let x represent the smaller number. Then the larger is x+10. The sum is ...
2x +3(x+10) = 55
5x +30 = 55
5x = 25
x = 5
The two numbers are 5 and 15.
__
Check
2·5 + 3·15 = 10 +45 = 55
Write the number three-hundred-sixty-five-thousandths in standard form.
Answer:
365/1,000 or .365
Step-by-step explanation:
HTH :)
Three hundred sixty five thousand in standard form is 365000.
What is standard form and word form of numbers ?The standard form of numbers is when we have to write the number in digits according to it's place and face value.
Word form of numbers is that when we have to write numbers given in numerical form to words by determining place and face value.
According to the given question we have to write three thousand sixty five thousand in standard form.
We know thousand has three zeroes.Suppose we have to write one thousand in standard form which is 1000.
Given we have to write three hundred sixty five thousand in standard form which is 365000.
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Determine if (3, 2) is a solution for the system of equations.
y = -x + 5
y = 2x - 6
yes
no
Answer:
Nope
Step-by-step explanation:
2= -3+5 (works)
2= 2(3)-6 (doesn't work)
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 8 if she rolls the two number cubes 252 times?
Answer:
Around 20
Step-by-step explanation:
because out of 36 you can get 6 five times. Then you divide. 252 by 36 and get four do you multiply 5 times 4
Answer:
20
Step-by-step explanation:
In this figure, m ∠FGH=128°. What are the measures of ∠FGI and ∠IGH
Answer:
we need a figure
Step-by-step explanation:
Enter values for X and Y in the table to plot points in the graph
Answer:12,16
Step-by-step explanation:
Answer:
16,28. 4,16. I'm not sure though
What is the precision of the measurement 10 feet?
Answer:
You measure the length of the paper three times and obtain the following measurements: 11.1 in., 11.2 in., and 10.9 in.
Which equation describes the line with slope 5, that contains the point (-2, 4)?
a: y = 5x - 22
b: y = 5x - 2
c: y = 5x + 4
d: y = 5x + 14
Answer:
C
Step-by-step explanation:
Answer:
D.) y=5x+14
Step-by-step explanation:
point slope form: y-y1=m(x-x1)
y1=4, m=5, x1=-2
y-4=5(x+2)
distribute 5
y-4=5x+10
add 4 to both sides
y=5x+14