Answer:
80x⁸y³ is your answer. Hope it helps <3
The changing speed of a car is modeled by the function S(t) = –4t + 35, where t is time in seconds. Interpret the model.
Answer:
the b
Step-by-step explanation:
Amy ran a race in 20.7 seconds. Katie finished the race 0.258 second before Amy. How long did it take Katie to run the race?
Answer: 20.442 seconds
Step-by-step explanation:
From the question, we are informed that Amy ran a race in 20.7 seconds and that Katie finished the race 0.258 second before Amy.
To know how long it took Katie to run the race, we subtract 0.258 seconds from 20.7 seconds. This will be:
= 20.7 - 0.258
= 20.442 seconds
16/4 (16 over 4) classify by listening all subsets it belongs in
□Natural
□whole
□integer
□rational
□irrational
□real
Answer: natural; whole; integer; rational; real
Step-by-step explanation:
16/4=4
Natural: numbers that are greater than 0.
4 is greater than 0
Whole: numbers that are equal or greater than 0
4 is equal or greater than 0
Integer: numbers that have no decimal points
4 has no decimal points
Rational: numbers that can be written as fraction
4=16/4 which is fraction
It is already rational, so it will not be irrational.
Real: all number you can name are real number
4 is four
A pair of jeans cost $30. There is a 6% sales tax determine the total cost of the jeans
Help please if u at least know one part that’s fine just comment
The function h(x) has a maximum at 4,the vertix is 4,3
Find the percent of change in the perimeter.
Answer:
-30%
Step-by-step explanation:
currently, the perimeter is: 4 + 6 + 4 + 6 = 20 in.
when the width of 4 in is decreased by 3 in, the new width become (4-3) in = 1 in
therefore, the new perimeter is: 1 + 6 + 1 + 6 = 14 in
the change in perimeter is: 20 in - 14 in = 6 in
now, the percent of change in perimeter will be:
[tex]\frac{change- in -perimeter}{original -perimeter} *100 = \frac{6}{20}*100 = 30[/tex]%
BUT because this change is a DECREASE, you have to put a NEGATIVE sign before the value to inducate that it's a decrease, so
change in perimeter = -30%
What is the parent function of the following function: f(x) = |x - 31| – 2
o linear
o absolute value
O constant
o quadratic
The sum of 2 consecutive odd numbers is 104. What are the numbers?
Answer:
51 and 53Step-by-step explanation:
If k is any integer then 2k is even number and 2k+1 is odd number.
The next odd number to 2k+1 would be: 2k+1+2=2k+3
the sum is 104 so:
2k+1 + 2k+3 = 104
4k + 4 = 104
4k = 100
k = 25
2k+1 = 2•25+1 = 51
2k+3 = 2•25+3 = 53
Check:
51 + 53 = 104
A grocery store charges $1.49 per pound of bananas. Use a unit rate to find the price of 3 pounds of bananas.
O $2.98
O $2.49
O $4.49
O $4.47
Answer:
$4.47
Step-by-step explanation:
Price if 1 pound of bananas=$1.49
Price if 3 pounds of bananas=3x$1.49
=$4.47
Tim is choosing between two cell phone plans that offer the same amount of free minutes. Sprint’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes will it take for the two plans to cost the same?
Answer:
100 minutes
Step-by-step explanation:
Sprints = $39.99 +&0.45
Verizon= $44.99+$0.40
Step 1: Equate the values
[tex]39.99 + 0.45m = 44.99 + 0.40m[/tex]
Step 2 :Collect like terms and simplify
[tex]0.45m - 0.40m = 44.99 - 39.99 \\ 0.05m = 5[/tex]
Step 3 :Divide both sides of the equation by 0.05
[tex] \frac{0.05m}{0.05} = \frac{5}{0.05} [/tex]
Step 4 :Simplify
[tex]m = 100 \\ = 100 \: minutes[/tex]
can someone help me with factoring by grouping please do step by step
problem: 3x^2+10x+7
Answer:
(3x + 7) (x + 1 )
Step-by-step explanation:
3x^2+10x+7
first : 3x² is 3x*x
(3x ) (x )
the sign of the constant is positive so it is either (plus *plus or minus*minus)
since the sign of the middle is plus (+10x) and 7 is prime number so it has to be (7*1)
(3x + 7) (x + 1 )
check : multiply 3x(x+1) and 7(x+1)
3x*x +3x*1
7*x +1*7
____________________ add
3x²+ 10x +7 (correct)
Answer:
3x^2 + 10x + 7
1. 3x^2 + 3x + 7x +7
2. 3x(x +1) 7(x+1)
3. (3x + 7)(x+1)
Step-by-step explanation:
- to factor by grouping, you need an even amount of terms, so to do this you have to split up the middle term, 10x, into two terms. (see step 2)
-to get these numbers, you multiply the coefficents of the first and second term, in this case it would be 3 and 7. When you multiply 3 and 7, you get 21, then you want to find 2 numbers that multiply to 21, but also add up to 10. In this case, it is 7 and 3 again. but it won't always be the originial numbers. ( see step 1)
-then you look at the first two terms, and pull out the common factor, in this case it is 3, you then see what is left over and put it in the parenthesis.
- repeat this again for the second two terms, in this case it is 7. (see step 2)
- you know you have done it right when the numbers in the parenthesis are the same, if they aren't you did it wrong. (see step 2)
- then take the set of numbers in the parenthesis, and the two numbers you are multiplying by, in this case 3x and 7, and those are your factors. (see step 3)
The width of the room is 129 inches. What calculation could be used to find this measurement in feet?
12 ÷ 129
129 × 12
129 ÷ 12
129 ×
Answer:
129 divided by 12
Step-by-step explanation:
itll get the amount of feet
sorry lol one more ...please help!!!!!!!
Answer:
(-1,5)
Step-by-step explanation:
(2+(-4))/2=-1
(9+1)/2=5
PLEASE HELP ASAP I NEED THIS DONE ASAP!!!
Answer:
The value of x is 12.
Step-by-step explanation:
Given that perimeter is found when all sides are added together. So we can assume that all side lengths add together will give you 134 imches :
[tex]x + 2x + 5 + 6x - 17 + 3x + 2 = 134[/tex]
[tex]12x - 10 = 134[/tex]
[tex]12x = 134 + 10[/tex]
[tex]12x = 144[/tex]
[tex]x = 144 \div 12[/tex]
[tex]x = 12[/tex]
Answer:
X=12
Step-by-step explanation:
x+2x+5+6x-17+3x+2=134
12x-10=134
12x=144
x=12
Write –40.38 as a mixed number
Hey there! I'm happy to help!
In a mixed number, we keep the whole number the same.
For the decimal, we have .38 which is 38/100.
We can simplify this by dividing the numerator and denominator by 2, giving us 19/50.
We combine the whole number and fraction, giving us -40 19/50.
Have a wonderful day! :D
HELP ME PLEASE
what are the x and y intercepts of the following line? -3x-2y=20
a) (-3/2,0), (0,-10)
b) (-20/3, 0), (0,-10)
c) (-3,2), (0,0)
d) (-3,0), (0,-2)
Answer:
a) (-3/2,0), (0,-10)
Step-by-step explanation:
y = mx + b
Change the equation to y intercept form.
-3x - 2y = 20
Isolate -2y by adding 3x on both sides.
-2y = 3x +20
Divide everything by -2
y = [tex]-\frac{3}{2}x[/tex] - 10
If you have a ti 84 plus calculator put it in the calculator:
go to y =
then press 2nd graph
then press graph
you will be at the (x,y) table
look at what (x,y) value match your choices.
Another way to solve this equation is to substitute.
a) is the correct choice
The inequality 94 – 3 log2x ≤ 88 describes noise exposure level (in decibels) in terms of the number of hours, x, it takes to reach 100% of a person’s recommended daily noise dose. A manufacturer claims that the noise exposure level in their factory never exceeds 88 decibels. What is the smallest number of hours it would take for a worker in this factory to reach 100% of her daily noise exposure?
a. 1
b. 2
c. 3
d. 4
Answer:
4
Step-by-step explanation:
edg and i got it right
For the number of hours greater than or equal to 5.4, it would take for a worker in this factory to reach 100% of her daily noise exposure.
What is inequality? Differentiate between equation and expression?inequality : An inequality is used to make unequal comparisons between two expressions or numbers.
expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
equation : A mathematical equation is used to equate two expressions.
Given is that the inequality (94 – 3 log2x ≤ 88) describes noise exposure level (in decibels) in terms of the number of hours {x} it takes to reach 100% of a person’s recommended daily noise dose.
The given inequality is -
94 – 3 log(2x) ≤ 88
94 - 88 ≤ 3 log(2x)
6 ≤ 3 log(2x)
log(2x) ≥ 2
log(2) + log(x) ≥ 2
log(x) ≥ 2 - log(2)
log(x) ≥ (2 - 0.31)
log(x) ≥ 1.69
x ≥ 5.41
Therefore, for the number of hours greater than or equal to 5.4, it would take for a worker in this factory to reach 100% of her daily noise exposure.
To solve more questions on inequality, visit the link below -
https://brainly.com/question/14610360
#SPJ2
Find the inverse of the equation below.
y =(x + 1)2
Answer:
f^-1 (x) = x/2 - 1
ps the ^ means to the power of so its f to the power of -1.
hope it helps!!
The first Ferris wheel was built in 1893 in Chicago. Its diameter was 250 feet. How many feet did the Ferris wheel rotate with one complete turn? Use 3.14 for Pi
Answer:
I think we have to count circumference of this wheel.
C=D*π=250*3,14=785ft
Step-by-step explanation:
5/4+x/2 =3
Hey can someone explain this please!
Answer:
x = [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5}{4}[/tex] + [tex]\frac{x}{2}[/tex] = 3 ( multiply through by 4 to clear the fractions )
5 + 2x = 12 ( subtract 5 from both sides )
2x = 7 ( divide both sides by 2 )
x = [tex]\frac{7}{2}[/tex]
Which problem is equivalent to 3/5
A
3 x 5
B
5 x 3
C
3 ÷ 5
D
5 ÷ 3
3. Given: BAM is a right angle. If mBAM=4x+2, then solve for the value of x.
Answer:
3. x = 17
4. a. m<NMP = 48°
b. m<NMP = 60°
Step-by-step explanation:
3. Given that <BAM = right angle, and
m<BAM = 4x + 22, set 90° equal to 4x + 22 to find x.
4x + 22 = 90
Subtract 22 from both sides
4x + 22 - 22 = 90 - 22
4x = 68
Divide both sides by 4
4x/4 = 68/4
x = 17
4. a. m<NMQ = right angle (given)
m<PMQ = 42° (given)
m<PMQ + m<NMP = m<NMQ (angle addition postulate)
42 + m<NMP = 90 (substitution)
m<NMP = 90 - 42 (subtracting 42 from each side)
m<NMP = 48°
b. m<NMQ = right angle (given)
m<NMP = 2*m<PMQ
Let m<PMQ = x
m<NMP = 2*x = 2x
2x + x = 90° (Angle addition postulate)
3x = 90
x = 30 (dividing both sides by 3)
m<PMQ = x = 30°
m<NMP = 2*m<PMQ = 2*30
m<NMP = 60°
Round 5.05870925358 to 4 decimal places.
Answer:
5.0587
Step-by-step explanation:
First, you have to count to the fourth number after the decimal;
That number is 7, the number after it is the one that will help you round.
Since that number is 0 you round down to 7.
Answer:
5.0587
Step-by-step explanation:
So we look at 5.05870
we count to four after the decimal place and land on the seven, next we look at the digit behind to seven to determine if we can round (remember 5 or more round the score, four or less let it rest).
what is --6|x+4|=-24
Answer:
[tex]x^{1}[/tex]= -8, [tex]x^{2}[/tex]=0
Step-by-step explanation:
Divide by both sides and solve. x=0, x=-8
What is the product of the polynomials below (7x^3+4x)(x^2+2)
Answer:
7[tex]x^{5}[/tex] + 18x³ + 8x
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
7x³(x² + 2) + 4x(x² + 2) ← distribute both parenthesis
= 7[tex]x^{5}[/tex] + 14x³ + 4x³ + 8x ← collect like terms
= 7[tex]x^{5}[/tex] + 18x³ + 8x
A person of height 1.6m up to the eye level is standing at a point 2m away from the bank of the river and found an angle of elevation of 30°. find the width of the river.
Step-by-step explanation:
tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.
Therefore 1.6m / (2m + x) = 1/√3
By cross multiplication, 1.6√3 = 2 + x.
Hence, x ≈ 0.77m.
What is the algebraic way to solve -10(x-17) = -3 ? Please provide the correct solution :)
Answer:173/10
Step-by-step explanation:
Answer:
x= 17.3
Step-by-step explanation:
-10(x-17) = -3 equation
-10x + 170 = -3 multiply -10 to everything in parenthesis
-10x = -173 subtract 170 from both sides of the equation
[tex]\frac{-10x}{-10} =\frac{-173}{-10}[/tex] divide -10 from both sides
x= 17.3
6. Jeremy runs a steel mill. To make a certain steel, 3 lbs of titanium is alloyed with 150 lbs of iron. If Jeremy wants to make that same steel using 4.3 tons of titanium, which equation can he use to find the number of tons of iron he must procure? 3 X 4.3 4.3 a) 4.3 X 150 3 b) 3 150 4.3 150 d) 150 3
Answer:
x = 3, y = 150
k = y/x
k = 150/3 = 50
y = 50x....when x = 4.3
y = 50(4.3) = 215 tons of steel
Fourteen less than eight times a number is three more than four times the number. What is the number?
Answer:
8n - 14 = 4n + 3 is the equation
and
n = 4.25
Step-by-step explanation:
hope this helped a little bit :))
3(x - 2) + 4 = 2x -1
[tex]\text {Hi! Let's Solve this Equation!}[/tex]
[tex]\text {The First Step is to Simplify the Equation:}[/tex]
[tex]\text {3 becomes 3x. 3*-2=-6 so that becomes -6.}[/tex]
[tex]\text {Add: -6+4=-2}[/tex]
[tex]\text {Your new Problem should be: 3x+-6+4=2x-1}[/tex]
[tex]\text {The Next Step is to Subtract 2x:}[/tex]
[tex]\text {3x-2-2x=2x-1-2x}\\\text {x-2=-1}[/tex]
[tex]\text {The Final Step is to Add 2:}[/tex]
[tex]\text {x-2+2=-1+2}[/tex]
[tex]\text {Your Answer should be:}[/tex]
[tex]\fbox {x=1}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex]\text {-LimitedX}[/tex]
Answer:
- 1
Step-by-step explanation:
Step 1:
3 ( x - 2 ) + 4 = 2x - 1 Equation
Step 2:
3x - 6 + 4 = 2x - 1 Multiply
Step 3:
3x - 2 = 2x - 1 Combine Like Terms
Step 4:
3x = 2x - 1 + 2 Add 2 on both sides
Step 5:
3x = 2x - 1 Combine Like Terms
Step 6:
x = - 1 Subract 2x on both sides
Answer:
x = - 1
Hope This Helps :)