Rewrite 32 as 32/1
1/4 x 32/1
To multiply 2 fractions, we multiply the nominators together, and the denominator together
1/4 x 32 = 1/4 x 32/1 = 1x32/4x1 = 32/4
Simplify as 8.
So, 1/4 x 32 = 8
The Newman's living room is a rectangle measuring 17 ft by 22
-9, -4,1, 6, 11,...;a;= ?
Identify the common difference
HURRY PLZ‼️ THIS IS URGENT
Answer:
a=5
Step-by-step explanation:
You are adding 5 each time so a would be 5
Help Please Help Its A Math Problem : Maria threw her math book off a 30 foot building. The equation of the book can be represented by the equation: h(t)= -16t^2+24t+30 where t is the time in seconds and h is the height in feet. What is the maximum height of Maria's math book?
Question options:
0.75
30
39
12
p.s I will brainlist please and thank you.
Answer:
39 feet
Step-by-step explanation:
The equation of the path of the book is an upside down parabola.
We can find the x-coordinate of the vertical axis.
The x-coordinate of the maximum point is
x = -b/2a
for a parabola written in the following form
f(x) = ax² + bx + c
We have -16t² + 24t + 30, so we have
a = -16
b = 24
c = 30
t = -b/2a = -24/(2 × (-16)) = -24/(-32) = 0.75
The maximum height occurs at time = 0.75 seconds.
Now we plug in the time into the equation to find the maximum height.
h(x) = -16t² + 24t + 30
h(0.75) = -16(0.75)² + 24(0.75) + 30
h(0.75) = -9 + 18 + 30
h(0.75) = 39
Answer: 39 feet
What is the slope-intercept equation of the line below?
A. y = -2x - 1
B. y = 2x + 1
O C. y=-2x+1
O D. y = 2x - 1
Answer:
Pretty sure it is A. y = -2x - 1
Step-by-step explanation:
y = mx + b
m is slope
b is y - intercept
y-intercept = point where line intercepts the y - axis. in this graph, it intercepts at (0, -1)
by counting the squares, you see this line has a rate of change of up two left one which is 2/-1 or -2. that is the slope
your photo is super blurry so it's hard to tell, but i'm 99% sure i am correct.
The slope-intercept equation of the line is y=-2x-1. Therefore, option A is the correct answer.
We need to find the slope-intercept equation of the line.
What is the slope-intercept equation?Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
The coordinates of the line (-1, 1) and (1, -3).
The slope of the equation is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Now, m=-3-1/1+1=-2
Substitute m=-2, x=-1 and y=1 in y=mx+b.
That is, 1=-2(-1)+b⇒b=-1
So, y=-2x-1
The slope-intercept equation of the line is y=-2x-1. Therefore, option A is the correct answer.
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Mathematics, average rate of change.
|| ▼ Answer ▼ ||
The average rate of change per year from 1 to 5 is 8inches
Step-by-step explanation:
Given
[tex]h=t^{2}+2t+10[/tex]
The average rate of change = [tex]\frac{h(5)-h(1)}{5-1}[/tex]
Now h(5)
[tex]\boxed{h(5)=-5^{2}+2(5)+10 }[/tex]
[tex]\boxed{h(5)=25+10+10}[/tex]
[tex]\boxed{h(5)=45}[/tex]
Now, h(1)
[tex]\boxed{h(1)=-1^{2}+2(1)+10}[/tex]
[tex]\boxed{h(1)=1+2+10}[/tex]
[tex]\boxed{h(1)=13}[/tex]
[tex]\boxed{Average~change~rate=\frac{h(5)-h(1)}{5-1} }[/tex]
[tex]\boxed{Average~change~rate=\frac{45-13}{5-1}=\frac{32}{4}=8 }[/tex]
The final answer
The average rate of change per year from 1 to 5 is 8 inches
Hope this helps!
If you have any questions please ask.
4x = 19, when x equals 5. True false or open
Answer:
false
Step-by-step explanation:
if x equals 5 then 4 times 5 would equal 20 not 19
Answer:
False
Step-by-step explanation:
Because if we subsitute x as 5.
4x = 19
4(5) = 19
20 = 19
4 times 5 equals 20, not 19. Therefore it is false.
Round 9991.55314546 to the nearest thousand.
What is, 788 divide 99 =???
We can't use calculators, and I'm confused-
Answer:
7 R 95
for this case, how many times does 99 go into 788? 0, because you must convert 78 to the tens place.
78 - 0 = 78
Drop the 8 from the zeros place.
How many times does 99 go into 788? 7(693)
788 - 693 = 95
▬▬In The End▬▬
The answer is 7, because that is the number on top, the result of the division is called the remainder.
The completely factored form of the polynomial is f(x) =
.
The answer is: (x-3)(x-1)(x+2)
Because the first term is x^3, it means that there must be 3 independent x's multiplying by each other. From there you just have to est what numbers to pair them with. If that doesn't make sense let me explain more:If you have x^2 it will be:(x + y) (x + z) If you have x^3 it will be: (x + y) (x + z) (x + g) If you have x^4 it will be: (x + y) (x + z) (x + g) (x + f) etc; now all you have to do after you pick which one it matches with, it just find what the value of y, z, and g are through trial and error. I am not showing all my trial and error because it is long to type out, easier to just explain the process.
hello people ~
factorise: 21x² - 55x + 14
Use mid term splitation
[tex]\\ \rm\rightarrowtail 21x^2-55x+14[/tex]
[tex]\\ \rm\rightarrowtail 21x^2-49x-6x+14[/tex]
[tex]\\ \rm\rightarrowtail 7x(3x-7)-2(3x-7)[/tex]
[tex]\\ \rm\rightarrowtail (7x-2)(3x-7)[/tex]
Done!
Answer:
Step-by-step explanation:
Note the x^2 term, 21 can be divided up into 1,3,7,21
and the constant term, 14 is divisible by 1,2,7
Also, note that -55 = -7*7 - 2*3
Break up 21x^2 into 7x*3x and -55x into -49x - 6x,
21x^2 - 55x + 14
= ((7x*3x) - 49x) - 6x + 14
= 7x*(3x - 7) - 2*(3x -7)
= (7x - 2)*(3x - 7)
Use the marginal tax rates in the table below to compute the tax owed in the following situation.
Paul is the head
Answer:
هذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطة
Step-by-step explanation:
هذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطة
last problem thanks for your help i could go to sleep now
Mat A has more cmvalue because b is filled with negative
Classify each polynomial as constant, linear, quadratic, or cubic. Combine like terms first. X3 − 2x x3 4x2 − 6x − 8x2 6x − 6 6x 5 4x2 − 4x2 5.
Answer:
no 8x is the no a questions
Answer:
x3 − 2x + x3 ⇒ cubic
4x2 − 6x − 8x2 ⇒ quadratic
6x − 6 + 6x ⇒ linear
5 + 4x2 − 4x2 + 5 ⇒ constant
Step-by-step explanation:
For the other question its
Classify each polynomial as a monomial, binomial, or trinomial. Combine like terms first.
x3 + 3x3 + 2x ⇒ binomial
2x3 + 5x + 3x4 − x ⇒ trinomial
4x − 5x + x − 2 ⇒ monomial
6x2 + 5 − 2x2 − 9 ⇒ binomial
Question 7 (2 points) Every six months, Jamison deposits $450 into an interest-bearing account to save for her children's tuition. The interest rate on the account is 6.8% compounding semiannually. What is the present value of the investment if Jamison's children leave for college in 8 years? (2 points) a $4,600.84 b $4,307.90 c $5,483.45 d $5,669.89
Answer:
PV= $5,483.45
Step-by-step explanation:
Giving the following information:
Semiannual deposit= $450
i= 0.068/2= 0.034
Number of periods= 8*2= 16
First, we need to calculate the future value using the following formula:
FV= {A*[(1+i)^n-1]}/i
A= semiannual deposit
FV= {450*[(1.034^16) - 1]} / 0.034
FV= $9,362.30
Now, we can calculate the present value:
PV= FV/(1+i)^n
PV= 9,362.30 / 1.034^16
PV= $5,483.45
find the area of the composite shapes
pls help me i need it urgently!!!
Answer:
above is the solution to the question
If m*n means m+7n, determine the value of 5*(1*3)
Answer:
1*3 = 1+7(3) = 22
5*22 = 5+ 7(22) = 159
159 is your answer.
hope this helps!
The value of expression 5 × ( 1 × 3 ) is, 159.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
⇒ m × n means (m + 7n).
Now, We can find the value of 5 × ( 1 × 3 ) as,
⇒ 5 × ( 1 × 3 )
⇒ 5 × (1 + 7×3)
⇒ 5 × (1 + 21)
⇒ 5 × 22
⇒ 5 + 7 × 22
⇒ 5 + 154
⇒ 159
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What are angle 4 and 7 classified it is 180 degree angle
Name:
The triangles below are similar. Find the value of x.
17.
25° -
25°
x
120°
4
16
X
120°
12
someone help me !!!
Does anyone know the answer?
Step-by-step explanation:
I hope you understand...
12-(-6)+7+(-8)=
14+(-6)-(-8)+5=
-9-8+15+(-3)=
Answer:
1. 12-(-6)+7+(-8)= 17
2. 14+(-6)-(-8)+5= 21
3. -9-8+15+(-3)= -5
hope i helped!
Step-by-step explanation:
which is the graph of the function Y=2tan(x+3x/4)
Answer:
I dont know ur specific question but this is what I got
Answer:
D
Step-by-step explanation:
D on edge
PLEASE HELP
49. A $52 item is marked up 10% and then marked down 10%. What is the final price? (Be
careful!)
For the graph of the equation you wrote in item 3, what does the y-intercept represent?
Answer:
the y intercept represents the point on the y axis in which the line crosses on a graph.
The product of two consecutive positive integers is 17 more than 5 times their sum. Find the numbers
Answer:
The no. are 11 and 12
Step-by-step explanation:
n(n+1)=17+5(2n+1)
n^2 +n=17+10n+5
n^2 -9n-22
Splitting the middle term
n^2 -11n+2n -22
n(n-11)+2(n-11)
(n-11)(n+2)
As n cannot ne negative,
n=11 and 12(consecutive no.)
Mark me brainliest!!
The two of the consecutive positive integers whose product is 17 more than 5 times their sum are 11 and 12.
What are Integers?An integer is a complete number, therefore, not including the decimals and fractions. And it that can be either positive, negative, or zero.
Integer examples include -5, 1, 5, 8, 97, and 3,043.
Non-integer numbers include: -1.43, 1 3/4, 3.14, and more.
Let the first of the two consecutive integers be represented by x. Then, the other number can be written as (x+1).
Now, the product and the sum of the two numbers can be written as,
Product = x(x+1) = x² + x
Sum = x + (x+1) = 2x + 1
Further, it is given that the product of two consecutive positive integers is 17 more than 5 times their sum. Therefore, we can write,
x² + x = 17 + 5(2x + 1)
x² + x = 17 + 10x + 5
x² + x - 17 - 10x - 5 = 0
x² - 9x - 22 = 0
x² - 11x + 2x - 22 = 0
x(x - 11) + 2(x - 11) = 0
(x - 11)(x + 2) = 0
x = -2, 11
Thus, there are two numbers that can fulfil the given condition but since it is mentioned that we only need two positive consecutive integers. Therefore, the two numbers are 11 and 12.
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Help with number 4 please
Sin (112°)
Answer:
I think it's 0.927184
Step-by-step explanation:
Rewrite the angle as a sum or difference with its reference angle sin (180 - 68)
Simplify the expression using the general reduction formula sin (68)
Calculate the approximate value
= 0.927184
HELP ME PLZZ I NEED HELP WITH THIS NOW!!
Enola gave out a survey to some students in her school about their favorite color. Students could choose between blue and purple. 371 of those surveyed said their favorite color was blue. 47% of the students surveyed said their favorite color was purple. How many students were surveyed in total?
Using proportions, it is found that 700 students were surveyed in total.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, we have that 100 - 47 = 53% of the total number of students had blue as their favorite color, and this amount is of 371, hence:
0.53n = 371
n = 371/0.53
n = 700.
700 students were surveyed in total.
More can be learned about proportions at https://brainly.com/question/24372153
Answer:
700
Step-by-step explanation:
Help will give all if right
She begins 190 feet below sea level.
After descending for 3 seconds, she's 266 feet below sea level.
Find the rate of change in the submarine's elevation in feet per second. Round your answer to the nearest tenth.
Answer:
25.3 feet per second
Step-by-step explanation:
First, let's find how much did she go down in those 3 seconds.
266-190=76
Now, let's divide 76 by 3 to find how much did she go down in 1 second
76/3=25 R1
Now, let's change 25 R1 to a Fraction.
25 remainder 1 to fraction will be 25[tex]\frac{1}{3}[/tex]
Now, let's find the decimal answer
25[tex]\frac{1}{3}[/tex] will be 25.33(33333)
Now, let's round our answer to the nearest tenth
25.33
so, 3 is closest to 0 not to 10
So hence, our answer is 25.3
So, the submarines elevation was changing at a rate of 25.3 feet per second
Thanks!
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~[tex]FieryAnswererGT[/tex]~
Spell red?
What color is a carrot ?
If you dig a 6 feet hole how deep is that hole?
Hello people~
Factorise : x² + 3x + 4x + 12
Answer:
(x+3)(x+4)
Step-by-step explanation:
Given:
→x² + 3x + 4x + 12
Take common from x² + 3x and 4x + 12
Now,
[tex]\hookrightarrow x(x+3)+4(x+3)\\[/tex]
Here,
(x+3) can be written as one.
Then,
[tex]\hookrightarrow (x+3)(x+4)\\[/tex]
And it is our answer.
Answer:
[tex]\displaystyle [x + 3][x + 4][/tex]
Explanation:
Find two quantities that when summed to 7, they also multiply to 12. Those will be 4 and 3. Sinse the entire expression is positive, the quantities STAY positive. Moreover, there is not much wourk to be done here BECAUSE the leading coefficient is one. This is all you can do:
[tex]\displaystyle x^2 + 7x + 12 \\ \\ \boxed{[x + 3][x + 4]}[/tex]
I am joyous to assist you at any time.