Answer:
X³ – 3x² – 9x – 5
= x³ + x² – 4x² – 4x – 5x – 5
= x²( x + 1) – 4x ( x + 1) – 5(x + 1)
= (x + 1)(x² – 4x – 5)
= (x + 1)(x² -5x + x – 5)
= (x + 1)(x – 5) (x + 1)
hence, (x +1), (x -5) and (x +1) are the factors of given polynomial .
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Michael is placing cubic blocks into a box that measures 8 inches by 12 inches. each block is 1 cubic inch. he has packed the first layer of the box with 96 blocks. the box is 10 inches high. how many blocks will Michael be able to pack into the box in all?
Answer:
960
Step-by-step explanation:
First of all we can find the volume of the whole box:
8×12×10=960
then find the area of the blocks:
1×1×1=1
Finally, we divide them to find how many fit in to the box:
960÷1=960
So 960 of the blocks will fit into the box.
Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.
How many more 10th graders than 9th graders were interviewed?
A 36
B 80
C 12
D 200
Answer:
A. 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.
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Find the length of side x in simplest radical form with a rational denominator
Answer: 4√2
Step-by-step explanation:
The triangle is a special right triangle. Using this, you know that the legs of the triangle are 1 and 1 as the 45, 45, 90 triangle has the sides of 1, 1 and √2. That being said,
4 x 1 = 4 - This is one of your sides
4 x 1 = 4 - This is your other side.
4 x √2 = 4√2 = This your your hypotenuse or your x.
My teacher played me this song to help me remember 45, 45, 90 and 30, 60, 90 triangles. Look up "45 45 90 30 60 90 song" and look for the channel, "Scalar Learning"
I hope this answered your problem.
A running track has two semi-circular ends with radius 24m and two straights of length 85.9m as shown.
Calculate the total area of the track rounded to 1 DP.
A collection of 22 dimes and quarters has a total value of $4.00. Write a system of equations that defines this situation and solve using any method.
Find the area of the figure
Answer: 1920 i think
Step-by-step explanation:
please help me with it and dont just put random letters cause i dont know why u do it its not like u can buy a house with these points lol
Answer:
v=432cm
sA=144cm
Step-by-step explanation:
1)))
v=w*d*h
v=3*9*16
v=432cm
2)))
sA=h*w
sA=16*9
sA=144cm
Answer:
V = 432 cm^3
SA = 438 cm^2
Step-by-step explanation:
The volume of a rectangular prism is represented by the formula:
V = lwh
Where V is the volume, l is the length, w is the width, and h is the height.
You can substitute the values given:
V = 3 * 9 * 16
V = 432 cm^3
The surface area of a rectangular prism can represented by the formula:
SA = 2(lw + wh + lh)
Where SA is the surface area, l is the length, w is the width, and h is the height. You can substitute the given values:
SA = 2(3 * 9 + 3 * 16 + 9 * 16)
SA = 2(27 + 48 + 144)
SA = 2(219)
SA = 438 cm^2
Erik buys a new combination for his locker at the gym.The lock has 3 dial, each with the number 0 through 9. The probability that he sets the combination as 4-3-9 is
Answer: 0.001
Step-by-step explanation:
Given
The lock has 3 dials, each with the number 0 through 9.
The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is [tex]\frac{1}{10}[/tex]
Similarly for selecting '3' and '9' is also [tex]\frac{1}{10}[/tex]
Therefore the probability of getting a combination of 4-3-9 is
[tex]\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001[/tex]
Mr. Jensen owed $34.75 on his Internet service. He accidentally paid $37.45. When his next statement came, it showed a balance of –$2.70. Which statement about this bill is true?
Mr. Jensen needs to pay $2.70 more on his next bill
Mr. Jensen needs to pay $2.70 less on his next bill.
Mr. Jensen needs to pay $5.40 more on his next bill.
Mr. Jensen needs to pay $5.40 less on his next bill.
Answer:
B
Step-by-step explanation:
if he pays 2.70 more than he is supposed to and gets a bill that says -2.70 they took that money off his next bill
Answer:
the answer is b :To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
Step-by-step explanation:
IM SO SORRY IF ITS WRONG
math math math math math pls help
Answer:
100-16π ft2
Step-by-step explanation
Answer:
100-16π ft2
Step-by-step explanation:
The data set shows the ages of everyone in a dance class.
5, 24, 24, 24, 24, 24, 24, 25, 25
Select the statement that correctly describes the data.
A. The typical value is 5 because it is the minimum.
B. The typical value is 9 because that is the total number of people.
C. The typical value is 24. Most values are close to 24, except 5, which is an extreme value.
D. The typical value is 25 because it is the maximum.
C because the most shown value is 24
Which is an
equation of the line that has a slope of -2/3
and passes though (-1, 3)?
Answer:
y = -2/3x + 7/3
Step-by-step explanation:
y = -2/3x + b
3 = -2/3(-1) + b
3 = 2/3 + b
7/3 = b
Enter the volume in cubic inches of the can round your anwser to the nearest hundredth
Answer:
87.92in³
Step-by-step explanation:
Volume of cylinder formula:
[tex]V = \pi r^{2} h[/tex]
Plug in the values using 3.14 for pi:
V = 3.14(2)^2(7)
V = 87.92in³
solve for the value of c
Answer:
C = 11
Step-by-step explanation:
90 - ( 8 + -6 ) = 88
88 / 8 = 11
:)
I need the answer to the Problem RIGHT NOW
If $10,000 is invested at an annual rate of 11%, compounded quarterly, find the value of the investment after the given number of years.
a) 5 years b) 10 years c) 15 years
Answer:
[tex]a) A\simeq17204.28[/tex]
[tex]b) A\simeq29598.74[/tex]
[tex]c)A\simeq50922.51[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $10000
[tex]r = 11\% = \frac{11\%}{100\%}=0.11[/tex]
n = 4 (quarterly in a year)
a ) t = 5 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(5)}\\\\A=10000(1+\frac{0.11}{4} )^{20}\\\\A=17204.28431\\\\A\simeq17204.28[/tex]
b) t = 10 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(10)}\\\\A=10000(1+\frac{0.11}{4} )^{40}\\\\A=29598.73987\\\\A\simeq29598.74[/tex]
c) t = 15 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51[/tex]
Answer:
Solution given;
principal [p]=$10000
rate[r]=11%
time[t]= 5 years
we have
compound amount quarterly =P(1+r/400)^4t
=$10000(1+11/400)^4×5=$17204.28431
What is 4^4 in algerbra mathematics?
Answer:
256
Step-by-step explanation:
4 to the exponent of 4 = 256
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answer:
4:7 and 4:49
Step-by-step explanation:
P=s+s+s
A=S×S
3x²-7x+4=0
can yall help me
Answer:
I think it
[tex]X1 = 1.333\\X2 = 1\\\\[/tex]
Q7.
There are 15 children at a birthday party.
The mean age of the 15 children is 7 years.
9 of the 15 children are boys.
The mean age of the boys is 5 years.
Work out the mean age of the girls.
Answer:
10
Step-by-step explanation:
Let c = sum of ages of all children.
mean age of all children = c/15 = 7
c = 15 * 7 = 105
The sum of the ages of all children is 105.
Let b = sum of ages of the 9 boys.
mean age of boys = b/9 = 5
b = 9 * 5 = 45
The sum of the ages of the boys is 45.
The sum of the ages of the girls is c - b.
c - b = 105 - 45 = 60
The number of girls is 15 - 9 = 6
mean age of girls = (sum of ages of the girls)/(number of girls) =
= 60/6 = 10
1) In a school of 3600 students, number of boys is twice the number of girls. Find the number of girls.
Answer: 1200
Step-by-step explanation:
x is the number of boy
The number of boys is twice the number of girls: [tex]\frac{1}{2} x[/tex]
Total is 3600 students: x + [tex]\frac{1}{2}x[/tex]= 3600 → x = 2400
Therefore, the number of girls is: 2400/2= 1200
Answer: There are 2400 boys and 1200 girls
Step-by-step explanation:
x represents girls
2x represents boys
________________________
x+2x=3600
3x =3600
x=3600/3
x =1200
Number of girls = 1200
1200 * 2 = 2400
Could I get help as soon as possible?
Answer:
(0, 0)
Step-by-step explanation:
It's 0 minutes since the bath begun, the depth of the water is 0 inches. I know I already answer this, but just in case.
Which of the following describes independent events A and B?
1) P(A)=0.70 P(B)=0.70 P(A and B)=0.40
2) P(A)=0.40
P(B)=0.70
P(A and B)=0.28
3) P(A)=0.40
P(B)=0.00
P(A and B)=0.40
4) P(A)=0.70 P(B)=0.40
P(A and B)=0.30
In the number 576,439,260 the 4 is in
A. the millions place.
B. the thousands place.
C. the ten thousands place.
O D. the hundred millions place.
O E. the hundred thousands place,
Salma Serra purchased a truck. last year she drove the truck 12,340 miles. the fixes costs totaled $1,428 , while variable cost totaled $2,998. how much did it cost per mile to operate the truck?
Answer:
20.61952
Step-by-step explanation:
hope it helps
The solution is : cost of driving per mile is $0.42.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
Given:
Luisa Díaz drove her vehicle about 7,200 miles last year.
Total fixed cost = $1,058.40
Total variable cost = $1965.60
Question asked:
How much did it cost per mile ?
Solution:
Total cost of driving 7200 miles = Total fixed cost + Total variable cost
= $1,058.40 + $1965.60
= $3024
By unitary method:
Cost of driving 7200 miles = $3024
Cost of driving 1 mile = $3024 7200
= $0.42
Thus, cost of driving per mile is $0.42
To earn more on addition click:
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complete question:
Luisa Díaz drove her vehicle about 7,200 miles last year. Her fixed costs totaled $1,058.40 and her variable costs were $1965.60 how much did it cost per mile
Find the x and y intercept of 8x+10y=15. NO LINK TO ANSWER PLEASE TYPE
Answer:
x intercept: 15/8 and yintercerpt is 3/2
Step-by-step explanation:
to find y intercept you have to put equation in standard form.
10y=-8x+15
y=--4/5x+3/2
x intercept is when y=0, so we plug in 0
0=-4/5x+3/2
4/5x=3/2
x=15/8
Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.
Answer:
1) For [tex]a = 1[/tex]: [tex]b = 6[/tex] and [tex]k = 6[/tex], 2) For [tex]a = 3[/tex]: [tex]b = 4[/tex] and [tex]k = 12[/tex]
Step-by-step explanation:
The polynomial [tex]y = x^{2} - 7\cdot x + k[/tex] is a second-order polynomial of the form [tex](x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b[/tex]. By direct comparison, we construct the following system of equations:
[tex]a + b = 7[/tex] (1)
[tex]a\cdot b = k[/tex] (2)
By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both [tex]a[/tex] and [tex]b[/tex] are integers. We assume two arbitrary integers for [tex]a[/tex]:
1) [tex]a = 1[/tex]
[tex]b = 7 - a[/tex]
[tex]b = 6[/tex]
[tex]a\cdot b = k[/tex]
[tex]k = (6)\cdot (1)[/tex]
[tex]k = 6[/tex]
2) [tex]a = 3[/tex]
[tex]b = 7 - a[/tex]
[tex]b = 4[/tex]
[tex]a\cdot b = k[/tex]
[tex]k = (3)\cdot (4)[/tex]
[tex]k = 12[/tex]
Where can I find I ready answers? specifically math.
Answer: you could problem look in help.k12
Step-by-step explanation:
Answer:
here on brainly it will answer you ask your question and it will answer it
Write the equation of the line with a slope of -2 that passes through (-5, 6).
a. y = -5x + 6
b. y=-2x – 4
c. y = -2x + 7
d. y = 4x - 2
(all of my points)
Answer:
B
Step-by-step explanation:
use y=mx+c
follow the flow
evelyn packed this box with 1-inch cubes. which expression does NOT show how evelyn can find the volume of the box
Answer:
[tex]Volume = 2 + 3+6[/tex]
Step-by-step explanation:
Given
[tex]Length = 2[/tex]
[tex]Width = 3[/tex]
[tex]Height = 6[/tex]
See attachment for box
Required
Which does not represent volume?
The volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
This gives:
[tex]Volume = 2 * 3 * 6[/tex] ---- (b) represents volume
Multiply 2 and 3
[tex]Volume = 6 * 6[/tex] ---- (d) represents volume
The above product can be converted to addition, as:
[tex]Volume = 6 + 6 + 6 + 6 + 6 + 6[/tex] ---- (a) represents volume
Hence:
[tex]Volume = 2 + 3+6[/tex] --- does npot represent volume