Answer:
The solution is h = -80.
Step-by-step explanation:
Let's eliminate fractions here by multiplying all three terms by 4:
-52 - h = 28
Subtracting 28 from both sides results in -80 = h
The solution is h = -80.
8a^3-36a^2+54a-27-64p^3
Answer:
8a^3-64p^3-36a^2+54a-27
Step-by-step explanation:
since it no common variable so it can not be further solved
Which of the following expressions shows how to rewrite 8 − 9 using the additive inverse and displays the expression correctly on a number line?
A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 8. Another arrow points from 8 to negative 1.
A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 8. Another arrow points from 8 to 9.
A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 8. Another arrow points from 8 to negative 9.
A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 8. Another arrow points from 8 to 1.
Answer:
A,B,C
explanation:
i got it right on edge
water needs to be removed from an underground chamber before work can commence. when the water was at a depth of 3m five suction pipes were used and emptied the chamber in 4 hours. if the water is now at a dpeth of 5 m and you want to empty the chamber in 10 hours time how many pipes need to be used
Answer:
8 pipes
Step-by-step explanation:
given that when height increases also time increases and automatically no of pipes will be decreased Mathematically;
h∝t•1/p
remove proportionality symbol and we will get
h=kt
p
make k as subject and we'll get
k=hp
t
find the value ok k
k=3×5
4
k=15
4
k=3.75
from h=kt. make p as subject and the answer should be
p=kt. find p
h
p=3.75×10
5
p=37.5
5
p=7.5 or 8
hence 8 pipes should be used
Write the equation of a circle with a center at (12, 6) and a radius of 6.
Answer:
(x-12)² + (y-6)² = 36 (Option C)
Step-by-step explanation:
use circle formula
(x-h)² + (y-k)²= r²
h= 12 and k= 6 and r= 6
(x-12)² + (y-6)² = 6²
6 squared = 36 (6·6)
(x-12)² + (y-6)² = 36
A baby can crawl ¾ foot in ¼ minute. How far does the baby get per minute?
Answer:
3 ft per minute
Step-by-step explanation:
Take the distance and divide by the time
3/4 ft ÷ 1/4 minute
Copy dot flip
3/4 * 4/1
Rewriting
3/1 * 4/4
3/1 *1
3 ft per minute
If x1 and x2 are the roots of the equation x^2 +5x-3=0, determine the value of x1^2 + x2^2. I know that I have to use vietas formula, but I am stuck :( any help would be appreciated
Answer:
31
Step-by-step explanation:
Given
x² + 5x - 3 = 0
with a = 1, b = 5, c= - 3 , then
sum of roots x₁ + x₂ = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{5}{1}[/tex] = - 5
product of roots = [tex]\frac{c}{a}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
Now
(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is
(- 5)² = x₁² + 2(- 3) + x₂²
25 = x₁² - 6 + x₂² ( add 6 to both sides ), then
x₁² + x₂² = 31
If A=(prime number less than 10)list the element of set A and find n(A)
Find the distance d dd between z 1 = ( 6 + 2 i ) z 1 =(6+2i)z, start subscript, 1, end subscript, equals, left parenthesis, 6, plus, 2, i, right parenthesis and z 2 = ( 6 + 10 i ) z 2 =(6+10i)z, start subscript, 2, end subscript, equals, left parenthesis, 6, plus, 10, i, right parenthesis. Express your answer in exact terms and simplify, if needed. D =
Answer:
8
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = z₁(6, 2) and (x₂, y₂ ) = z₂(6, 10)
d = [tex]\sqrt{(6-6)^2+(10-2)^2}[/tex]
= [tex]\sqrt{0^2+8^2}[/tex]
= [tex]\sqrt{64}[/tex] = 8
[tex] \frac{ {9x}^{2} - {(x}^{2} - 4) {}^{2} }{4 + 3x - {x}^{2} } [/tex]
pls help me need help asap
Answer:
[tex] { x^2+3x-4} [/tex]
Step-by-step explanation:
Factor top and bottom.
The numerator is a difference of two squares, and the denominator is a quadratic.
[tex] \frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} } [/tex]
= [tex]\frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}[/tex]
= [tex] \frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)} [/tex]
If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give
= [tex] { (x-1)(x+4)} [/tex]
= [tex] { x^2+3x-4} [/tex]
Answer:
The answer is
x² + 3x - 4Step-by-step explanation:
[tex] \frac{9 {x}^{2} - ( { {x}^{2} - 4})^{2} }{4 + 3x - {x}^{2} } [/tex]
To solve the expression first factorize both the numerator and the denominator
For the numerator
9x² - ( x² - 4)²
Expand the terms in the bracket using the formula
( a - b)² = a² - 2ab + b²
(x² - 4) = x⁴ - 8x² + 16
So we have
9x² - (x⁴ - 8x² + 16)
9x² - x⁴ + 8x² - 16
- x⁴ + 17x² - 16
Factorize
that's
(x² - 16)(-x² + 1)
Using the formula
a² - b² = ( a + b)(a - b)
We have
(x² - 16)(-x² + 1) = (x + 4)(x - 4)( 1 - x)(1 + x)
For the denominator
- x² + 3x + 4
Write 3x as a difference
- x² + 4x - x + 4
Factorize
That's
- ( x - 4)(x + 1)
So we now have
[tex] \frac{(x + 4)(x - 4)( 1 - x)(1 + x)}{ - (x - 4)(x + 1)} [/tex]
Simplify
[tex] \frac{ - (x + 4)(1 - x)(1 + x)}{x + 1} [/tex]
Reduce the expression by x + 1
That's
-( x + 4)( 1 - x)
Multiply the terms
We have the final answer as
x² + 3x - 4Hope this helps you
Manipulate the radius and height of the cone, setting different values for each. Record the radius, height, and exact volume of the cone (in terms of π). The first one has been done for you. Also calculate the decimal value of the volume, and verify that it matches the volume displayed by the tool. (You might see some discrepancies in the tool due to rounding of decimals.)
Answer:
The decimal value of the volume already given= 1885.2 unit³
For radius 11 unit height 12 unit
Volume= 484π unit³
Volume= 1520.73 unit ³
For radius 4 unit height 6 unit
Volume= 32π unit³
Volume= 100.544 unit³
For radius 20 unit height 15 unit
Volume= 2000π unit³
Volume= 6284 unit³
Step-by-step explanation:
The decimal value of the volume already given= 600π
The decimal value of the volume already given= 600*3.142
The decimal value of the volume already given= 1885.2 unit³
For radius 11 unit height 12 unit
Volume= πr²h/3
Volume= 11²*12/3 *π
Volume= 484π unit³
Volume= 1520.73 unit ³
For radius 4 unit height 6 unit
Volume = πr²h/3
Volume= 4²*6/3(π)
Volume= 32π unit³
Volume= 100.544 unit³
For radius 20 unit height 15 unit
Volume= πr²h/3
Volume= 20²*15/3(π)
Volume= 2000π unit³
Volume= 6284 unit³
Here's the right answer.
A customer owes a balance of $400 on their lease. They have a $75 payment due each month. What will be their remaining balance after their next 2 monthly payments are made?
Answer:
Step-by-step explanation:
2(75)=150 that's the amount due in total for two months so
400-150= 250 they will owe $250 after two months payment
I don’t understand how to solve this. Please help!
Answer:
GH = 16; CH = 12
Step-by-step explanation:
First of all, you need to understand the meaning of "perpendicular bisector." It means that GH is divided into two equal parts by line AC, and that AC makes a right angle to GH.
The right angle is marked.
(a) The length of one of the halves of GH is marked as being 8 units long, so the other half will also be 8 units long. Of course, the length of GH is the sum of its two halves:
GH = GB +BH = 8 + 8
GH = 16
__
(b) Triangles CBG and CBH share side CB, so have that length in common. They have equal lengths BG and BH because BC bisects GH. They have a right-angle at B in common, so can be considered congruent by SAS, the fact that two congruent sides have a congruent angle between them.
Since triangles CBG and CBH are congruent, their corresponding sides CG and CH are also congruent. Side CG is marked 12 units long, so CH will be 12 units long, also.
CH = 12
You could shortcut all of the congruent triangle logic by recognizing that an altitude (CB) is a perpendicular bisector of the base (GH) if and only if the triangle is isosceles. The sides of an isosceles triangle are always congruent, so CG = CH = 12.
__
In part (c), you're supposed to choose possible theorems for demonstrating the congruence of the triangles we described above.
(x-1)(x+4) write in standard form
Answer:
x^2+3x-4
Step-by-step explanation:
(x-1)(x+4)
x^2+4x-x-4
x^2+3x-4
Hope this helps ;) ❤❤❤
Answer:
y = x² + 3x -4
Step-by-step explanation:
we can use the FOIL formula
(x-1) (x+4)
x² + 4x - x -4
x² + 3x -4
therefore, the standard form would be y = x² + 3x -4
PLS HELP ME OB THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
D. Positively skewed
Step-by-step explanation:
a baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 224 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?
3 inches
7 inches
8 inches
4 inches
The length of the rectangular delivery box must be equal to 4 inches.
Let the length of the box be L.
Let the width of the box be W.
Let the height of the box be H.
Given the following data:
Volume of box = 224 cubic inches.Translating the word problem into an algebraic expression;
[tex]W = 3 + L[/tex] ......equation 1
[tex]H = 4 + L[/tex] ......equation 2.
Mathematically, the volume of a rectangular solid is given by the formula;
[tex]Volume = length * width * height[/tex] .....equation 3.
Substituting the values into equation, we have;
[tex]224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}[/tex]
Rearranging the polynomial, we have;
[tex]L^{3} + 7L^{2} + 12L - 224 = 0[/tex]
We would apply the remainder theorem to solve the polynomial.
According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.
When x = 3
[tex](x - 3) = 0\\x = 3[/tex]
[tex]P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9) + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0[/tex]
We would try with 4;
[tex]P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16) + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224 - 224 = 0[/tex]
Therefore, 4 is one of its roots.
Hence, the length of the rectangular delivery box must be equal to 4 inches.
Find more information on polynomial here: https://brainly.com/question/10689855
Find value of k
from below eqn
[tex] {2x}^{2} + 7xy + 3y {}^{2} - 5x - 5y + k = 0[/tex]
Answer:
k=10BY DPING PROCESS IT BECOME
The diameter of the Moon is 3.5 × 10^3 km.
The diameter of the Sun is 1.4×10^6 km.
Calculate the ratio of the diameter of the Moon to the diameter of the Sun.
Give your answer in the form 1 : n
Answer:
1 : 400
Step-by-step explanation:
[tex]\frac{3.5 x 10^{3} }{3.5 x 10^{3} } : \frac{1.4 x 10^{6 } }{3.5 x 10^{3} }[/tex]
1 : .4 x [tex]10^{3}[/tex]
1 : 4 x [tex]10^{2}[/tex]
1 : 400
What is the difference between 15% of 7 and of 7?
Find the difference of functions s and r shown
below.
r(x) = -x2 + 3x
s(x) = 2x + 1
(s - r)(x) =
Answer:
[tex]\displaystyle (s-r)(x) = x^2 - x + 1[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle r(x) = -x^2 + 3x \text{ and } s(x) = 2x + 1[/tex]
And we want to find:
[tex]\displaystyle (s-r)(x)[/tex]
This is equivalent to:
[tex]\displaystyle (s-r)(x) = s(x) - r(x)[/tex]
Substitute and simplify:
[tex]\displaystyle \begin{aligned}(s-r)(x) & = s(x) - r(x) \\ \\ & = (2x+1)-(-x^2+3x) \\ \\ & = (2x+1)+(x^2-3x) \\ \\ & = x^2 +(2x-3x) + 1 \\ \\ & = x^2 - x + 1 \end{aligned}[/tex]
In conclusion:
[tex]\displaystyle (s-r)(x) = x^2 - x + 1[/tex]
Identify the function given y= -9/4
Answer:
the function is a y-intercept
Step-by-step explanation:
y=mx+b is the slope intercept formula, m being the slope and b being the y-intercept, meaning y=b, so b=-9/4.
Because it says y=-9/4, we can assume that m, or the slope equals 0.
so when you plug it in, you get
y=0x-9/4
y=-9/4
1 person = 40 min = 1 bag, 4 person = ? min = 1575 bags
Answer:
15 750 minStep-by-step explanation:
4 person = 1575 bags
1 person = 1575:4 = 393.75 bags
40 min = 1 bag
393,75 bags = 40 min•393,75 = 15 750 min
Please help will give 5 stars with 1 thanks and 15 points
Answer:
mean is adding up all the numbers.
range means the difference between the Lowest and highest value.
Step-by-step explanation:
when we add the answer is 240.6.
divide it to 12..do the final answer is 20.05
range is 25.4_16.3
9.1
Answer:
Mean: 20.05
Range: 9.1
Step-by-step explanation:
To find the mean in this problem, first you add all the following numbers together then subtract by the quantity.
20.1 + 19.6 + 18.0 + 17.8 + 25.2 + 18.7 + 21.9 + 16.3 + 25.4 + 20.5 +17.8 + 19.3
= 240.6
Now, divide by the quantity which is 12 since there's 12 numbers.
240.6 divided by 12 = 20.05.
The mean is 20.05.
To find the range in the problem, you must subtract the smallest value from the largest value.
In this case, 16.3 is the smallest value and 25.4 is the largest.
25.4 - 16.3 = 9.1
9.1 is the range.
Hope this helps you!
factor x ^ 4 - 5x ^ 2 + 4
( − 2 ) ( 3+ 2 2 − − 2 )
Hope this helps, have a great day!
help me please I'm not sure if im right
Answer:
291 cm³
Does the answer help you?
What is the domain of f(x) = 5x – 7?
{x | x > –7}
{x | x < –7}
{x | x > 0}
{x | x is a real number}
Answer:
{x | x is a real number}
Step-by-step explanation:
f(x) = 5x – 7
There are no restrictions on the value that x can take
The domain is all real numbers
Answer:
In the given expression, that is, f (x) = 5x - 7, we can say:
x satisfies all the real values starting from -∞ to ∞.
domain of 5x-7
Interval notation for f (x):
(- ∞ , ∞)
So, the domain will be all real numbers, as the function is a straight line, with no discontinuities, thus undefined at no value of x.
Please help! Giving brainiest!
The dot plots below show the test scores of some mathematics students and some science students: (View the attached image) Based on visual inspection of the dot plots, which group of students appears to have the larger average score?
a. The mathematics students
b.the science students
c. Both groups are similar
d. Not enough information is available to draw a conclusion.
Answer:
b. The science students
Step-by-step explanation:
If you count the dots, they are the same for both class (9 people) but the range of the science students' scores are higher than the range for the math students, which means that the sum of their scores will be larger than the math students' and since they have the same number of people, the number being divided for the average would be the same, so the science students' average would be greater than the math's.
I hope this helped! ;D
Plzz help tysm if you do
Answer:
B
Step-by-step explanation:
it is defined for all values so D=R
also we can get any value
so Range =R
Answer:
B
Step-by-step explanation:
because that's odd power function it can take both, negative and positive values
pls find the answer for question 2
Answer:
c
Step-by-step explanation:
x³ - y³ ← is a difference of cubes and factors as
x³ - y³ = (x - y)(x² + xy + y²)
Given
[tex]\frac{x}{y}[/tex] + [tex]\frac{y}{x}[/tex] = - 1
Multiply through by xy to clear the fractions
x² + y² = - xy ← substitute into second factor of expansion
x³ - y³ = (x - y)(- xy + xy) = (x - y) × 0 = 0 → c
Answer:
The answer is C. 0
Step-by-step explanation:
since
[tex] \frac{x}{y} + \frac{y}{x } = - 1[/tex]
we multiply both sides by xy to cancel their denominators and multiply -1 by xy
so we have
[tex]xy( \frac{x}{y}) + xy( \frac{x}{y} ) = xy \times - 1[/tex]
we get our answer as
[tex] {x}^{2} + {y}^{2} = - xy[/tex]
we were given the difference of cubes that is
[tex] {x}^{3} - {y}^{3} [/tex]
which is =
[tex](x - y)( {x}^{2} + xy + {y}^{2} )[/tex]
so since,
[tex] {x}^{2} + {y}^{2} = - xy[/tex]
we substitute,
[tex](x - y)( - xy + xy) = (x - y)(0) = 0[/tex]
three numbers are in the ratio 1:2:1 find the largest number if the sum of their cubes is 1000
Answer:
Given,
The ratio of the three numbers are 1:2:3 . Let the numbers are x , 2x and 3x.
According to the question,
x³+(2x)³+(3x)³=4,500
⟹x³+8x³+27x³=4,500
⟹36x³=4500
⟹x³=4,50036
⟹x³=125
⟹x=125−−−√3
⟹x=5
So the numbers are 5,5×2=10,5×3=15
Therefore, 5 is the smallest number.
https://www.quora.com/Three-numbers-are-in-the-ratio-1-2-3-and-the-sum-of-their-cubes-is-4-500-What-is-the-smallest-number
I am so confused Please Help it is DUE NOW!!
Select the polynomial that is a perfect square trinomial.
9x^2 + 9x + 1
36b^2 − 24b + 8
16x^2 + 24x + 9
4a^2 − 10a + 25
Answer:
16x^2 + 24x + 9
Step-by-step explanation:
perfect square trinomial is of the form
a^2 + 2 * a * b + b^2
9x^2 + 9x + 1 = (3x)^2 + 3*3x*1 + 1^2 not a perfect square trinomial
36b^2 − 24b + 8 = ( 6b)^2 -2 * 6b *2 + ( 2 sqrt(2)) ^2 not a perfect square trinomial
16x^2 + 24x + 9 = ( 4x) ^2 + 2 * ( 4x) * 3 + 3^2 = perfect square trinomial
4a^2 − 10a + 25 = ( 2a) ^2 - 1 * 2a *5 + 5^2 not a perfect square trinomial
Answer:
The third answer listed:
[tex]16x^2+24x+9[/tex]
Step-by-step explanation:
The trinomial:
[tex]16x^2+24x+9[/tex]
can be factored out as follows:
[tex]16x^2+24x+9\\(4x)^2+24x+3^2\\(4x)^2+12x+12x+3^2\\4x(4x+3)+3(4x+3)\\(4x+3)\,(4x+3)\\(4x+3)^2[/tex]
which as can be seen,is the perfect square of a binomial, so this trinomial is what is called a perfect square trinomial.