Will give brainliest. The volume of a sphere is 36,000 units What is the radius of the sphere?
Answer:
20.48 is the radius of sphere
Step-by-step explanation:
V=(4 /3)πr3
Using the formula
r=(3V /4π)⅓
Solving for "r"
r=(3V 4π)⅓=(3·36000 /4·π)⅓≈20.48352
Write a polynomial equation for a graph that passes through the point (-1, 60) and has three x-intercepts: (-4,0),
(1, 0), and (3, 0)
Given:
A graph of a polynomial passes through the point (-1, 60) and has three x-intercepts: (-4,0), (1, 0), and (3, 0).
To find:
The equation of the polynomial.
Solution:
A polynomial is defined as:
[tex]P(x)=a(x-c_1)(x-c_2)...(x-c_n)[/tex]
Where, a is a constant and [tex]c_1,c_2,...,c_n[/tex] are the zeros of the polynomial.
The given polynomial has three x-intercepts (-4,0), (1, 0), and (3, 0). It means [tex]-4,1,3[/tex] are the zeroes of the given polynomial and [tex](x+4),(x-1),(x-3)[/tex] are the factors of the given polynomial.
So, the equation of the polynomial is:
[tex]P(x)=a(x+4)(x-1)(x-3)[/tex] ...(i)
It passes through the point [tex](-1,60)[/tex].
[tex]60=a(-1+4)(-1-1)(-1-3)[/tex]
[tex]60=a(3)(-2)(-4)[/tex]
[tex]60=24a[/tex]
Divide both sides by 24.
[tex]\dfrac{60}{24}=a[/tex]
[tex]2.5=a[/tex]
Putting [tex]a=2.5[/tex] in (i), we get
[tex]P(x)=2.5(x+4)(x-1)(x-3)[/tex]
Therefore, the equation of the given polynomial is [tex]P(x)=2.5(x+4)(x-1)(x-3)[/tex].
PLEASE HELP ILL GIVE BRAINLIEEST
SHOW WORK
You know that it's a bot when it says "explanation in file".
They forgot to put a question, there's nothing to answer...
The two triangles below are similar. What is the similarity ratio of AABC to ADEF?
Answer:
2 : 1
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
AC : DF = 8 : 4 = 2 : 1
Ms. Hartline grades one math test every 1⁄4 hour. How many math tests does she grade in 2 hours? HELP QUICK!!
Answer:
8 maths tests
Step-by-step explanation:
Given data
We are told that in 1/4 hour that is 0.25hour (15 mins) She grades 1 math test
our aim is to find how many maths test she grade in 3 hours (120min)
Hence
in 15 mins she does 1 grading
in 120 mins she does x
cross multiply
15x= 120
divide both sides by 15
x= 120/15
x= 8 maths test
Hence in 2 hours, she can grade 8 maths tests
Please answer with explanation and standard form
Answer:
2x - 7y = -34.
Step-by-step explanation:
As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be
-1 /(-7/2) = 2/7.
Now we find the point of intersection ofn the 2 given lines:
x + y = 10
3x - 4y = -12
Multiply the first equation by -3:
-3x - 3y = -30
Now add this last equation to the second one:
-7y = -42
y = 6
Plug y = 6 into the first equation:
x + 6 = 10
x = 4.
So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of straight line we have:
y - 6 = 2/7(x - 4)
7y - 42 = 2(x - 4)
7y - 42 = 2x - 8
2x - 7y = -42 + 8
2x - 7y = -34
Answer:
y=(2/7)x+(7/3)
Step-by-step explanation:
y=-7/2(x)+9
y=mx+c
Therefore, slope of line y is -7/2
Because line y perpendicular to the required line
Therefore, slope of the required line is 2/7
x+y=10 ........(1)
3x-4y = -12 ......(2)
(1) x 4:
4x+4y =40 ......(3)
(3) + (2)
4x+4y+3x-4y=28
x=4
by substituting x=4 into (1), we have
y=10-4=6
Therefore, the point that the line intersects is (4, 6)
let y=(2/7)x+c be the required equation
(4, 6):
6=(2/7)4+c
c=21/4
therefore, the required equation is y=(2/7)x+(7/3).
When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793 per month what is the maximum amount of money that micah can earn in this position?
Answer:
2669
Step-by-step explanation:
Given that :
Salary range = 876
Starting salary = 1793 monthly
The starting salary represents the minimum amount Micah can earn monthly
Therefore, the amount of money much can earn can be calculated thus :
Recall :
Range = maximum - minimum
876 = maximum - 1793
876 + 1793 = maximum
Maximum = 2669
Hence, the maximum salary Micha can earn is 2669 monthly
solve for x
2 3/4 x = 11 11/12
Answer:
If your question mean : 2×3/4×X = 11×11/12 then ans is (121/18) I.e. 6.722
Step-by-step explanation:
1) multiply all the numerator part
2) Cross multiply and solve for X.
The table shows a students results from spinning the pointer 30 times. Find the experimental probability that the pointer lands in a section with a number greater than or equal to 3.
Answer:
The answer is 8/15
hope it helps you
What is the radius of these cylinders?
Answer:
sorryyyyy i really dont know
I’ll give brainliest!!!!! Pls help ASAP
Answer:
[tex]\sqrt[4]{x^{7} }[/tex]
Step-by-step explanation:
this is the same concept basically as simplifying [tex]\sqrt{x}[/tex] into [tex]x^{\frac{1}{2} }[/tex]. You can see that the denominator is in front of the radical and that any numbers in the numerator are the power of the number underneath.
Which of the following shows the correct order of the given numbers?
1 5/8, 1 3/10, 1.6
1.6, < 1, 5/8 < 1 3/10
1 3/10 < 1.6 < 1 5/8
1 5/8 < 1 3/10 < 1.6
Answer:
1 3/10 < 1.6 < 1 5/8
Step-by-step explanation:
All you need to do is because all the mixed numbers (even though one of them has a decimal, which could be converted to 1 3/5) have the same whole number, just put the fractional parts of the whole number from smallest to largest.
it's all on the picture
Answer:
i believe its 24+12
Step-by-step explanation:
are the triangles at the right simular explain
Answer:
no
Step-by-step explanation:
By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.
Round 4.743 to the nearest hundredth
Answer:
4,700
Step-by-step explanation:
4 is not big enough to round the 7 up to a 8
select all equations that have x = 3 as a solution. A. X + 7 = 10 B. 3+ x = 3 C. x • 3 = 1 D. 4 • x = 12
Answer:
A.
Step-by-step explanation:
7+3=10 so it will be A, you're welocme
Answer:
A and D
Step-by-step explanation:
A) x + 7 = 10
D) 4 × x = 12
help me asap please
Step-by-step explanation:
1st - false
2nd - true
3rd - false
Answer:
it is true, true, false. your welcome
What does x equal to?
Answer:
x = 25°
Step-by-step explanation:
the angle adjacent to the 130 angle is 50 degrees
x = 180-(105+50)
x = 180-155
x = 25
PLEASE HELP ME ON THIS QUESTION AND DONT GUESS ASAP!!!!!!!
Answer:
25 ft ........................
Answer:
25.13ft or 25ftStep-by-step explanation:
hope this helps :)
1. Andy's little brother has a toy box that contains 2 blue race cars, 1 green race cars, and 1 red race car. Andy removes 2 race cars from the toy box without looking. If Andy remove a blue car first and does not replace it, which best represents the sample space for the cars Andy Removes? *
10 points
A{ ( blue, green), ( blue, red) }
B{ ( blue, blue), (blue, green), ( green, red)}
C{ ( blue, blue), ( blue, green), (blue, red) ]
D{ (blue, red), ( green, red), (blue, blue)}
Answer:
I believe it’s A bc there are only 4 cars in the toy box
Step-by-step explanation:
Brainliest if correct?
thanks have a good day!
Answer: a........ I think im not sure sorry
Step-by-step explanation: it might be a because it is the only answer with four cars. All of the others i dont know.
what is the length of LK?
Answer:
26 i think
Step-by-step explanation:
What sides are the triangles?
Answer:
Step-by-step explanation:
From the picture attached,
In ΔABC and ΔGFE,
AC ≅ EG [Given]
BC ≅ EF [Given]
AB ≅ FG [Given]
By the SSS property of congruence, ΔABC ≅ ΔGFE
The two triangles are related by SSS property of congruence, so the triangles are congruent.
Pick a number 1-10, number closest to the one i picked gets brainliest
Answer:
5
Step-by-step explanation:
factorise it
[tex]v[/tex]
Answer:
2(x – ½)(x + ½)
Step-by-step explanation:
2x² – ½
The above expression can be factorised as follow:
2x² – ½
2 is common to both 2 and ½. Thus,
2x² – ½ = 2[x² – ¼]
Recall
(½)² = ¼
Thus,
2[x² – ¼] = 2[x² – (½)²]
Difference of two squares
2(x – ½)(x + ½)
Therefore,
2x² – ½ = 2(x – ½)(x + ½)
A large tank holds 5 x 10^7 gallons of oil. How much oil can be stored in 27 tanks?
Write your answer in scientific notation.
Answer:
i dunno do the math
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
The value of x is 4, and the measure of the four angles are 100°, 80°, 100°, 80°.
Step-by-step explanation:
There is a rule that states the following: when two lines intersect, the verticle/opposite angles formed will have the same degree measure. Using this rule, we can infer that [tex]30x-20=10x+60[/tex]. To solve for x, isolate the variable all on one side of the equation. [tex]30x-10x = 60 + 20[/tex] ⇒ [tex]20x = 80[/tex] ⇒ [tex]x=4[/tex]. Since we now know the value of x, you can use that to figure out a pair of verticle angles, apply the value of x to any equation and you'll get that two of the four angles are all 100°. Since the rotation of a full circle is 360°, you can get that the sum of the remaining two angles is 360° - 100° * 2 = 360° - 200° = 160°. Because we know the remaining pair of verticle angles are equal, we can get that each of the remaining angles is equal to [tex]\frac{160}{2}[/tex] or 80°, so the measure of all four angles are 100°, 80°, 100°, 80°.
Write the word sentence as an inequality. A number z is fewer than 3/4.
Answer:
[tex]z<\frac{3}{4}[/tex]
Step-by-step explanation:
Each piece of cardboard is 0.3 centimeters thick. If Tyler stacks 5 pieces of cardboard on top of one another, how thick will the stack be?
Answer:
1.5 inches thick
Step-by-step explanation:
I need help on 11 and 12.
What’s the area of this polygon answer ASAP my teacher died
Answer:
Break it into 2 sections: 18 by 3 and 6 by 20
area = 54 + 120
= 174 (answer is A.)
Step-by-step explanation:
9514 1404 393
Answer:
A. 174
Step-by-step explanation:
Use your number sense. The area can be no larger than the rectangle that is 20 high and 9 wide. That rectangle's area is ...
A = LW = (20)(9) = 180
The only answer choice smaller than 180 is ...
A. 174 . . . . . square units
__
If you want to compute it exactly, you can make note of the size of the empty space at the upper left corner. That space is 20-18 = 2 units high and 9-6 = 3 units wide. Its area is A = LW = (3)(2) = 6 square units. When that empty space is subtracted from the overall rectangle area, the result is ...
180 square units - 6 square units = 174 square units.