Answer:
It 4000
Step-by-step explanation:
Find the length of side X
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the 2 other sides, that is
x² + 6² = 17²
x² + 36 = 289 ( subtract 36 from both sides )
x² = 253 ( take the square root of both sides )
x = [tex]\sqrt{253}[/tex] → C
(b) Factorise fully 2 a²b + 6ab2
Answer:
2ab(a+3b)Step-by-step explanation:
[tex]2 {a}^{2} b + 6a {b}^{2} [/tex]
Factor out common term : 2ab
[tex] 2 {a}^{2}b \div 2a = a \\ 6a {b}^{2} \div 2ab = 3b \\ 2ab(a + 3b)[/tex]
[tex]2a^2b+6ab^2[/tex]
Perhaps, you mean 6ab² (If not please remind me.)
Factoring the polynomials can be done by pulling out the terms that can be divided by that terms.
For example, [tex]2x^2+4[/tex] We can divide the whole polynomial by 2. Thus, we factor 2 out of the polynomial as we get [tex]2(x^2+2)[/tex] -- Factoring is like dividing, but instead - we pull them out.
Now let's get back to the question.
Notice that the polynomial can be divided by 2, a and b.
So we pull 2, a and b out of the polynomial and divide them.
[tex]\frac{2a^2b+6ab^2}{2ab}\\a+3b[/tex]
When dividing, we should get a + 3b.
Then we pull out 2ab outside the bracket.
[tex]2ab(a+3b)[/tex]
Thus, the answer is 2ab(a+3b)
can someone help me pls?
Go step by step to reduce the radical: √288
what I have so far:
√16 • √18
12√2
12√2 • √9
Pls help! Be honest pls be honest......
Answer:
ur x intership is (4) and ur y intership is (1)
Step-by-step explanation: its where the dots are or are u doing an equation?
solve the system by substitution
y=5x
y=9x+8
show ur work
will give brainliest!
Answer:
x = -2
y = -10
( -2, -10)
Step-by-step explanation:
set them equal
5x = 9x + 8
subtract 9x
-4x = 8
divide by -4
x = -2
plug in x
y = 5(-2)
y = -10
small word problem! 30 POINTS
Can you help me with question 4 pls
The circumference of the great wheel was twelve thousand and forty-one thousand inches. The cricumference of the lesser wheel was only one thousand twenty-one and two hundred-thousand inches. How much lager was the great wheel?
Answer:
The larger wheel is 10979.04098 more than the smaller wheel.
Step-by-step explanation:
Given that,
The circumference of the great wheel was twelve thousand and forty-one thousandth inches.
C = 12000.041 inches
The circumference of the lesser wheel was only one thousand twenty-one and two hundred-thousand inches.
C' = 1021.00002 inches
We need to find how much larger was the great wheel. To find it, take the difference of C and C'.
C-C' = 12000.041 inches - 1021.00002 inches
= 10979.04098 inches
Hence, the larger wheel is 10979.04098 more than the smaller wheel.
The senior class plans a school trip to Washington DC. Students should bring money for meals and
souvenirs. They are told to bring at least $60 but no more than $135. Write a compound inequality that
represents the amounts of money a student can bring.
Answer:
The required inequality is:
[tex]\mathbf{x >60\: and\: x<135}[/tex]
Step-by-step explanation:
Minimum Money students should bring = $60
Maximum Money students should bring= $135
We need to write compound inequality that represents the amounts of money a student can bring.
Compound inequalities are combination of two inequalities combined with "and" , and "or"
And is used, when both inequalities should be true.
Or is used when one of the inequality should be true.
In our case we would use and because we need both inequalities to be true.
The required inequality is:
[tex]\mathbf{x >60\: and\: x<135}[/tex]
Find two integers whose sum is -8 and product is -48
-12 * 4= 48 and -12+4= -8
Cristina picked out a new tennis racket that was priced at $35.00. She has saved $40.00 to cover the tax. If there is an 8% tax, then how much will she pay for the tennis racket and the tax
Answer:
37.8
Step-by-step explanation:
if f(x)=x^2+6 and g(x)=-2x, what is the value of f(g(4))-g(f(4))
Tony has 3/4 pound of candy. He wants to make small bags that are 1/8 pound each. How many bags can he make? Show all steps.
Answer: 6 bags
Step-by-step explanation:
We will divide the total amount [3/4 pounds] by the amount per bag [1/8 pound] to find how many bags he can make.
After writing the problem, we will use "Keep, change, flip" (Keep the first fraction, change to multiplication, flip the second fraction).
[tex]\displaystyle \frac{3}{4}\ \text{pounds} \div \frac{1}{8} \ \text{pounds}[/tex]
[tex]\displaystyle \frac{3}{4}\ \text{pounds} * \frac{8}{1} \ \text{pounds}[/tex]
[tex]\displaystyle \frac{3*8\ \text{pounds}}{4*1\ \text{pounds}}\[/tex]
[tex]\displaystyle \frac{24}{4}\[/tex]
6 bags
the discriminant of a quadratic equation is the value b2 – 4ac. what is the value of the discriminant of 0
Cannot determine the nature of roots.
The Nature of roots simply means the category in which the roots are falling upon. The roots may be imaginary, real, unequal or equal. If the discriminate is negative, the roots will be imaginary.
The nature of roots of quadratic equations (in the form ax^2 + bx +c=0) we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.
The Discriminant of a polynomial is a quantity that depends on the coefficients and allows deducing some properties of the roots without computing them. More precisely, it is a polynomial function of the coefficients of the original polynomial.
Given that ,
b2 – 4ac
first we arrange terms in descending order -4ac + 2b
then find discriminant of quadratic equation :Δ = 4
Identify a, b, c through co-efficient:
a = 0
b= -4c
c = 2b
Substitute the value of a, b, c and calculate discriminant
([tex]b^{2} -[/tex] 4ac)
Δ = [tex]16c^{2}[/tex] determine number of solutions with discriminant:
Can't determine the nature of roots.
Learn more about discriminant here: brainly.com/question/12383696
SPJ4
Which table represents y as a function of x
Answer:
B
Step-by-step explanation:
Only one in which x is not more than one number matching y in function.
The table 4 represent the function.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
The function should have distinct input with corresponding output.
If there are 2 same input vales then it not said to be a function.
So, according the definition the table 4 represent the function because the table 1, 2 and 3 have repeated input value,
Hence, the table 4 represent the function.
Learn more about function here:
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Explain why xyz is similar to lmz
Answer:
Because they both have 65 degree angles and are both triangles
Step-by-step explanation:
Answer:
because they have the same bottom degrees
Step-by-step explanation:
2y + 7x = -5
5y - 7x = 12
x =
y =
Answer:
x = - 1, y = 1
Step-by-step explanation:
Given the 2 equations
2y + 7x = - 5 → (1)
5y - 7x = 12 → (2)
Adding the2 equations term by term will eliminate the term in x, that is
7y = 7 ( divide both sides by 7 )
y = 1
Substitute y = 1 into either of the 2 equationsand solve for x
Substituting into (1)
2(1) + 7x = - 5
2 + 7x = - 5 ( subtract 2 from both sides )
7x = - 7 ( divide both sides by 7 )
x = - 1
solution is x = - 1, y = 1
(4x + 10) + (3x + 8)
Answer:
7x+18
Step-by-step explanation:
add both 4x and 3x to get 7x and add 10 and 8 to get 18. therefore 7x+18
The final expression of (4x + 10) + (3x + 8) is 7x + 18.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(4x + 10) + (3x + 8)
Combine like terms.
4x + 3x + 10 + 8
7x + 18
Thus,
The final expression is 7x + 18.
Learn more about expressions here:
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Zeke read z books over the summer. Michelle read twice as many books over the summer as Zeke. Tay read 3 more books over the summer than Zeke. Which expression represents the total number of books read over the summer by Zeke, Michelle and Tay?
Answer: 4z + 3
Step-by-step explanation:
Number of books read by Zeke = z
Michelle read twice as many book as Zeke. This will be: = 2 × z = 2z
Tay read 3 more books than Zeke. This will be: = z + 3
The expression that represents the total number of books read over the summer by Zeke, Michelle and Tay would be the addition of the books read by each person. This will be:
= z + 2z + z + 3
= 4z + 3
Solve for r: -6+4r=2(r-4)
A) -1
B) 1
C) -12
D) 12
Answer:
r = -1
Step-by-step explanation:
-6 + 4r = 2(r - 4)
-6 + 4r = 2r - 8
+6 +6
4r = 2r - 2
-2r -2r
2r = -2
/2 /2
r = -1
hope this helps
What do we use to replace for an unknown number?
A) A variable
B) A number
C) An Operation
D) An equal sign
Answer:
A. A variable
Step-by-step explanation:
Elizabeth is making lemonade. She uses a box of mix to make of a gallon. How much mix will she need to make one gallon?
Answer:
she will need one box to make one gallon. If the question is correct, she will ned one box.
Step-by-step explanation:
Please help me with this
plss tell me the ans
Answer:
I dont know if this is right but I think its 125/343
One environmental group did a study of recycling habits in a California community. It found that 75% of the aluminum cans sold in the area were recycled. (Use the normal approximation. Round your answers to four decimal places.)
(a) If 387 cans are sold today, what is the probability that 300 or more will be recycled?
(b) Of the 387 cans sold, what is the probability that between 260 and 300 will be recycled?
Answer:
a
[tex]P( \^ p > 0.775 ) = 0.12798[/tex]
b
[tex]P( 0.6718 < p < 0.775 ) =0.87183[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.75[/tex]
Considering question a
The sample size is [tex]n = 387[/tex]
Generally the standard deviation of this sampling distribution is
[tex]\sigma = \sqrt{ \frac{p(1 - p)}{ n } }[/tex]
=> [tex]\sigma = \sqrt{ \frac{0.75(1 - 0.75)}{ 387 } }[/tex]
=> [tex]\sigma = 0.022[/tex]
The sample proportion of cans that are recycled is
[tex]\^ p = \frac{ 300}{387 }[/tex]
=> [tex]\^ p = 0.775[/tex]
Generally the probability that 300 or more will be recycled is mathematically represented as
[tex]P( \^ p > 0.775 ) = P( \frac{\^ p - p }{ \sigma } > \frac{0.775 - 0.75 }{ 0.022} )[/tex]
[tex]\frac{\^ p - p }{\sigma } = Z (The \ standardized \ value\ of \ \^ p )[/tex]
[tex]P( \^ p > 0.775 ) = P( Z > 1.136 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.591 is
[tex]P( Z > 1.136) = 0.12798[/tex]
=> [tex]P( \^ p > 0.775 ) = 0.12798[/tex]
Considering question b
Generally the lower limit of sample proportion of cans that are recycled is
[tex]\^ p_1 = \frac{ 260 }{387 }[/tex]
=> [tex]\^ p_1 = 0.6718[/tex]
Generally the upper limit of sample proportion of cans that are recycled is
[tex]\^ p_2 = \frac{ 300}{387 }[/tex]
=> [tex]\^ p_2 = 0.775[/tex]
Generally probability that between 260 and 300 will be recycled is mathematically represented as
[tex]P( 0.6718 < p < 0.775 ) = P( \frac{0.6718 - 0.75 }{ 0.022}< \frac{\^ p - p }{ \sigma } <\frac{0.775 - 0.75 }{ 0.022} )[/tex]
=> [tex]P( 0.6718 < p < 0.775 ) = P( -3.55 < Z < 1.136 )[/tex]
=> [tex]P( 0.6718 < p < 0.775 ) = P(Z < 1.136 ) - P( Z < -3.55 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.136 and -3.55 is
[tex]P( Z < -3.55 ) = 0.00019262[/tex]
and
[tex]P(Z < 1.136 ) = 0.87202[/tex]
So
[tex]P( 0.6718 < p < 0.775 ) = 0.87202- 0.00019262[/tex]
=> [tex]P( 0.6718 < p < 0.775 ) =0.87183[/tex]
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The answer is: 8m=152
8.9 - 1.4x + 6.5x + 3.4
PLEASE HELP
Answer: is 10
Step-by-step explanation:input :
Changes made to your input should not affect the solution:
(1): "3.4" was replaced by "(34/10)". 4 more similar replacement(s)
STEP
1
:
17
Simplify ——
5
Equation at the end of step
1
:
89 14 65 17
((——-(——•x))+(——•x))+——
10 10 10 5
STEP
2
:
13
Simplify ——
2
Equation at the end of step
2
:
89 14 13 17
((——-(——•x))+(——•x))+——
10 10 2 5
STEP
3
:
7
Simplify —
5
Which inequality is shown in the graph?
A 20 foot ladder is leaning up against the side of a house. The construction worker who put it there followed the directions on the ladder's specifications which said to make sure the ladder was at least 8 feet away from the base of the wall to ensure safety. Say we want to re-word the directions and specify the angle of elevation of the ladder instead. What could the directions say about the angle of elevation?
Answer:
Keep the ladder at a 66 degree angle of elevation at most.
Step-by-step explanation:
Hypotenuse is 20 feet
Adjacent side is 8 feet
We use inverse cosine to find the angle
arccos(8/20) = 66.4 deg
(picture included) will mark brainliest
Answer:
1. A
2. C
3. B
Step-by-step explanation:
1. we can create an equation y = 48x + 96
if we plug in 1 we get 144
2. we can create an equation y = 10x to represent how much battery you will lose every hour
if we plug in 5 to x, we get y = 50
so we get the plot point: (5, 50)
3. process of elimination