Answer:
[tex]y = 2x^2 + 1[/tex]
Step-by-step explanation:
The graph you see there is called a parabola. The general equation for the graph is as below
[tex]y = a*x^2 + b[/tex]
To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.
To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!
[tex]3 = a * (1)^2 + 1\\2 = a[/tex]
Awesome, we've found both values. And we can write the result.
[tex]y = 2x^2 + 1[/tex]
I'll include a plotted graph with our equation just so you can verify it is indeed the same.
A rectangular prism with a square base is cut from the center of a triangular prism. Each side of the square base measures 1. 7 units. A rectangular prism with a square base is cut out of the center of a triangular prism. The triangular prism has base lengths of 5 and 4 units and a height of 5. 7 units. The rectangular prism has sides lengths of 1. 7 and 4 units. What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit. 11. 6 units3 45. 4 units3 57. 0 units3 68. 6 units3.
The volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³
The given diagram is made up of a rectangular prism and a triangular prism.
The volume of the shaded region = Volume of triangular prism - Volume of a rectangular prism.
Volume of triangular prism Vt = BH/3
Base area B = 0.5(5.7)(5)
Base area B = 14.25units²
Height = 4 units
Vt = 14.25 * 4
Vt = 57units³
Volume of the rectangular prism = l²h
Volume of the rectangular prism Vr = 1.7 * 1.7 * 4
Vr = 11.56units³
Volume of the shaded solid = Vt - Vr
Volume of the shaded solid = 57units³ - 11.56units³
Volume of the shaded solid = 45.4units³
Hence the volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³.
Learn more on the volume of prisms here: https://brainly.com/question/12716590
Answer:
B
Step-by-step explanation:
On New Year’s Day 2021, your uncle put $3 dollars in his safe for you that he says will grow exponentially until you decide to take it out. If you take the money out on New Year’s Day 2023, the money will have grown to $18.75. You decide that you will ask for the money on New Year’s Day 2031. How much money will you receive then?
if 18.75 - 3 = 15.75
if every 2 years you get 15.75
if from 2023 to 2031 is 8 years
then 8 divided by 2 = 4
so 15.75 * 4 = 63
then the answer is 63
Please help I need work shown!!
3x-11=2x+11
x=22
3x-11=55
2x+11=55
55+55+2y=180
2y=70
y=35
x=22 , y=35
Im doing an extra credit assignment and I need someone to help me solve by substitution method
y=x+3
y=2x+5
Answer:
(-2,1)
Step-by-step explanation:
that is where the two graphs intersect
Solve for percent change: On Monday, Cynthia raised $75 for her charity.
On Tuesday, Cynthia raised $95 for her charity. What is the approximate
percent change? *
Let p = percent change
p = (new amount)/(original amount) • 100
p = (95 - 75)/75 • 100
p = 20/75 • 100
p = 26.666667
p = 26.6%
Done.
What common side does ΔABC share with ΔADC?
BC
AD
BD
AC
Answer:
it's a and c
luk closely
(4-13i)-(3+6i) how do you solve this I’ve been stuck
Answer:
1-19i
Step-by-step explanation:
What is the answer to: 1a to the power of 349 b to the power of 28 c to the power of 2 d to the power of 82 e to the power of 48 f to the power of 920 g to the power of 40 h to the power of 38 i to the power of 492 j to the power of 23 k to the power of 43 l to the power of 982 m to the power of 48 n to the power of 62=(4/2 x 10 x(the square root of 100)
Answer:
Its 7.908764333
Step-by-step explanation:
Trust me :)
What is 3/10 of 2560
Answer:
768
3/10 times 2560 simply equals 768 after the calculations are done
James makes $44,059 per year, how much would he make monthly?
Answer:
$3671.58
Step-by-step explanation:
Take the annual salary and divide it by the number of months
1. Kristina took out a bank loan for $60,000 that must be repaid with regular monthly payments of $1100. The bank charges her an interest rate of 3.0% compounded monthly a) How many payments will Kristina have to make to pay off the loan. N=? I= ?PV = ?PMT= ? FV=? P/Y = ?C/Y =? END BEGIN b) How much interest will Kristina Pay?
Answer:
See belowStep-by-step explanation:
Given:
Loan amount PV = $60000Interest rate r = 3% PATime t = x yearsNumber of compounds n = 12Monthly payment PMT = $1100FV is:
60000*(1 + (3/100)/12)^(12x) = 60000*(1.0025)^(12x)Which is same as total payment:
1100*12*xSolve the following by graphing:
60000*(1.0025)^(12x) = 1100*12*xSee attached
The solution is:
x = 5.333 = 5 1/3 years = 5 years 4 months = 64 monthsTotal payment:
FV = $70 395.95The amount of interest:
I = FV - PV = 70395.95 - 60000 = $10395.95The hypotenuse of a right triangle is 6 feet long. One leg is 2 feet longer than the other. Find the length of each leg to the nearest hundredth of a foot.
There are 750 calories in ten ounces of a certain ice cream. How many calories are
there in three pounds?
1 pound = 16 ounces
Before you try that problem, answer the question below.
How many ounces will you need to find the number of
calories for?
try
You must answer all questions above in order to submit.
attempt 1 out of 2
Help me solve this PLEASE?
Work Shown:
1 pound = 16 ounces
3 pounds = 48 ounces (multiply both sides by 3)
Based on that, we can then say,
(750 calories)/(10 ounces) = (x calories)/(48 ounces)
750/10 = x/48
75 = x/48
x/48 = 75
x = 48*75
x = 3600
List all the angle measures from least to greatest.
From the three triangles
Answer:
40°, 43°, 60°
Step-by-step explanation:
In each triangle, you are given the measures of two angles. Subtract those two measures from 180° to find the measure of the third angle.
Triangle A:
c = 180° - 90° - 50°
c = 40°
Triangle B:
c = 180° - 112° - 25°
c = 43°
Triangle C:
c = 180° - 70° - 50°
c = 60°
hari drags a load of 60 kg along a distance of 12 m. what amount of work does he do?also mention the type of work
Answer:
----->
Step-by-step explanation:
The weight of the 60kg load is (m g) = 588 Newtons. (Force x distance) = (588 N) x (12 m) = 7,056 Joules of work.
2x + 3 for x=3
PLEASE I NEED A ANSWER
Answer:
9
Step-by-step explanation:
2 times 3 = 6
6+3=9
How do you work x+1-2=4 and x-1=2
Answer:
Simplify x+1-2x+1−2 to x-1x−1.
x-1=4
x−1=4
2 Add 11 to both sides.
x=4+1
x=4+1
3 Simplify 4+14+1 to 55.
x=5
x=5
Add 11 to both sides.
x=2+1
x=2+1
2 Simplify 2+12+1 to 33.
x=3
x=3
Use the distributive property to remove the parentheses.
3(6-y)
Answer:
18-3y.
Step-by-step explanation:
3 x 6 = 18
3 x -1y= -3y.
Answer:
18 - 3y
Step-by-step explanation:
3(6-y)
(3)(6) + (3)(-y)
18 + (-3y)
18 - 3y
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
Answer:
(1, 3), (2, 6), (3, 9)
Step-by-step explanation:
Dividing the first given ratio by 7 gives ...
7/7 : 21/7 = 1 : 3
Multiplying this by 2 and 3 gives the other ratios you want.
= 2(1) : 2(3) = 2 : 6
= 3(1) : 3(3) = 3 : 9
The equivalent ratios are (1, 3), (2, 6), (3, 9).
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
open circle on 7 shaded to the right
If x < -4, then -4 is a solution.
True
False
Answer:
true
Step-by-step explanation:
the less than or equal to sign (≤) means that -4 is a solution. if it was the less than sign (<) then -4 would not be included
Answer:
i believe it would be true
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
a 260$ suit is marked down by 30%. find the sale price
Answer:
182
Step-by-step explanation:
If the suit itself is originally 260 and it lowered by 30% of itself, then we need to find 30% of 260, which would be 78. Since we are lowering the price, we subract 260 - 78 and get 182 as our final answer.
I hope this answer helped. Please let me know if I am incorrect. Thank you!
Help please!!
A small party balloon has a maximum volume of 500 cm3. Unfortunately, it has a leak that allows 10 cm of air to escape every second. a Write down an equation for the volume (v cm) of the party balloon, t secs after it starts to leak.
Step-by-step explanation:
I think you mean that 10 cm³ of air are escaping every second.
and we start with a volume of 500 cm³.
V = 500 - 10t 0 <= t <= 50
because negative t (seconds) don't make any sense, and neither does a negative volume (for t > 50).
how many real square roots does -1 have?
There are no real square roots does -1 have.
-1 is negative, it does not have a real square root.
Here, we have,
we know that,
The number -1 does not have any real square roots.
In the real number system, a square root of a number is a value that, when squared, gives the original number.
However, when we square any real number, the result is always non-negative.
Since -1 is negative, it does not have a real square root.
It is 0 because there are no square roots for negative numbers.
Hence, There are no real square roots does -1 have.
To learn more on number click:
brainly.com/question/17429689
#SPJ6
PLS HELP.
7) Find RQ
Answer:
are we doing ur homework
Step-by-step explanation:
5. Name the side included by
AB
AC
BC
none of these.
Answer:
AB
Step-by-step explanation:
Side AB is in between angle A and angle B. We can tell this because angle A is at one point, and angle B is at the other.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Suppose Viviana sent 100 text messages to her friend. She plans to send an additional 10
text to her friend per period. How many periods will it take Viviana to send 200 text
messages?
Answer:
20 More Periods
Step-by-step explanation:
Just Divide 200/10 and you get 20.
MEDIUM) Ana gave Bill and Clare as much money as each had. Then Bill gave Ana and Clare as much money as each had. Then Clare gave Ana and Bill as much money as each had. Then each of the three people had $24. How much money did each have to begin with
Answer:
At the very end, the amounts of money are:
A -- 24
B -- 24
C -- 24
If A and B received as much as they had just prior to the last transaction, they must each have received 12 and they must have received it from C, so at the end of the previous step, the situation must have been:
A -- 12 (24 minus 12)
B -- 12 (24 minus 12)
C -- 48 (24 plus 12 plus 12)
Before that, A and C got half of what they had above from B, so:
A -- 6 (12 minus 6)
B -- 42 (12 plus 6 plus 24)
C -- 24 (48 minus 24)
And initially, B and C got half of what they had above from A, so:
A -- 39 (6 plus 21 plus 12)
B -- 21 (42 minus 21)
C -- 12 (24 minus 12)
Step-by-step explanation:
Please I really need help
15 POINTS..15 POINTS
ONLY ONE QUESTION
ANSWER IT WITH EXPLANATION
PLEASE I NEED IT NOW
NEW ANSWER
Lupita is correct because when there is a constant of proportiantilly the line will start at the origin and it will be straight all the way. No curves, bends, etc. Another way you can tell is because when the line gets to "2" it lines up with 300 when the line gets to "4" it lines up with 600. That shows that the line is equal all the way through.
thanks for brainly (:
glad I could help!
please please i beg for help omg
Answer:
x = 12
Step-by-step explanation:
First:
[tex]27=9*3=3*3*3=3^3[/tex]
If you rewrite the 27 into base 3 like that:
[tex]3^{5x}=3^{(3)\times(2x-4)[/tex]
Now that both sides have the same base, you can cancel them out. This is the simplest example of that I can think of:
[tex]2^x=2^x[/tex]
Here, the exponent obviously has to be equal for this to be true, right? The exponents do have to be equal, so you can drop the bases completely:
[tex]x=x[/tex]
Same for the problem we have above. It's a base 3 on both sides, and for them to be equal, the exponents also have to be equal.
[tex]3^{5x}=3^{(3)\times(2x-4)}\\5x=(3)\times(2x-4)\\5x=3(2x-4)[/tex]
Now, you can simply solve for x.
[tex]5x=6x-12\\-1x=-12\\x=12[/tex]