Step-by-step explanation:
4x³ = 36x
4x³ - 36x = 0
4x(x² - 9) = 0
4x(x + 3)(x - 3) = 0
Hence x = 0, x = -3 or x = 3.
Took Gage 1 of a gallon of paint to create a mural of his favorite team the Grizzlies. He was asked to replicate his mural for 8 different businesses in Memphis. How much paint will he need for the 8 other murals?
Answer: He will need 8 gallons of paint for the other murals.
Step-by-step explanation:
Given: 1 gallon of paint was required to create 1 mural.
Since replicates have the same dimensions, i.e same total surface area.
So, if 8 replication need to be made, the quantity of the paint required for this will be
8 x (Quantity required for 1 mural)
= 8 x 1
= 8 gallons
Hence, he will need 8 gallons of paint for the other murals.
The length of a rectangular building is 4 feet more than 3 times the width. The perimeter is 84 feet. Find the width and length of the building.
Answer:
Width=9.5, Length=32.5
Step-by-step explanation:
Let x be the width of the rectangle,
The length is 4 feet more than 3 times the width,
The length= 3x+4
The perimeter is
2(x)+2(3x+4)=84
2x+6x+8=84
8x=76
x=76/8
x=9.5
The Width=9.5
Length= 3(9.5)+4=32.5
Consider the equation
−9x+2y=−4
A line parallel to the above line would have a slope of _____
A line perpendicular to the above line would have a slope of ____
Please help
Answer:
slope of line parallel to given line=slope of given line
=9/2
slope of line perpendicular to given line=‐1/slope of given line
= -2/9
Kala purchased a prepaid phone card for $25. Long distance calls cost 8 cents a minute using this card. Kala used her card only once to make a long distance call. If the remaining credit on her card is $21.48, how many minutes did her call last?
Answer:
44 minutes
Step-by-step explanation:
25.00-21.48=3.52
this means she used $3.52
which is 352 cents.
Each minute is 8 cents so 352/8 = 44
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies to make the maximum revenue
Answer:
The maximum revenue Luci Lulu can make selling cookies in one day is $2,000.
The price Luci Lulu should sell the cookies to make the maximum revenue is $1.
Step-by-step explanation:
From the question, we have:
x = −2000p + 4000 ..................... (1)
Where;
x = number of cookies sold
p = price of a cookie, p, and the
Revenue function (R) can therefore be obtained as follows:
R = px ……………………….. (2)
If we substitute equation (1) into (2), we will have:
R = p(−2000p + 4000)
R = −2000p^2 + 4000p ……………… (3)
Differentiating equation (3) with respect to p and set it equal to zero, we have:
−4000p + 4000 = 0
Solving for p, we have:
4000 = 4000p
p = 4000 / 4000
p = 1
Therefore, this implies the price Luci Lulu should sell the cookies to make the maximum revenue is $1.
Substituting p = 1 into equation (3), we have:
R = (−2000 * 1^2) + (4000 * 1)
R = (−2000 * 1) + (4000 * 1)
R = −2000 + 4000
R = 2000
This implies that the maximum revenue Luci Lulu can make selling cookies in one day is $2,000.
For which value 0 is the statement sin 40= cos 0 true ?
Answer:
50°
Step-by-step explanation:
sin 40° = cos 50°
Hope it helps you in your learning process.
A scientist measures the change in the temperature of a chemical solution. At the start of the experiment, the solution is at a temperature of -14.96ºC. The temperature decreases 2.9ºC each hour. 1️⃣ Find the temperature of the solution after 3 hours. 2️⃣ Find the temperature of the estimated solution after 3 hours.
Answer:
-6.26°C
Step-by-step explanation:
Given that:
Initial temperature = - 14.96ºC
Temperature change per hour = 2.9ºC
Hence, the temperature of the solution after 3 hours can be obtained thus :
Final temperature = (initial temperature + (temperature change per hour * Number of hours))
Temperature after 3 hours :
-14.96 + 2.9(3)
-14.96 + 8.7
= - 6.26
Solve for x (28 POINTS)
9s+8=4s+13 If s represents the number of shells Susie found, which of the following stamens correctly describes the equation above
Answer:
s=1
Step-by-step explanation:
9s-4s=13-8
5s=5
s=1
Ok guys im doing algebra
Joe had a summer job that pays $7.00 an hour and he worked between 15 and 35 hours every week
Domain:
Range:
:0 ur welcome
brainliest plz
pls help me!!
2. In this polygon, which angle is an exterior angle?
Answer:
b jwtvd vgakdbbfqbbbq8jrbw5rl17rgsndbgwy
Hey smart math people help me please
Answer: First off thats not how you ask for help, by calling us "smart math people" that could offend someone...Second off the answer is 10 because
Step-by-step explanation:
A^2 + B^2 = C^2
6^2 + 8^2 = C^2
36 + 64 = 100 square root that = 10
Answer: 10
Answer:
10
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex] : Pythagorean Theorem
[tex]6^{2} + 8^{2} = c^{2}[/tex] ⇒[tex]36+64=c^{2}[/tex]
[tex]36+64=c^{2}[/tex] ⇒ [tex]\sqrt{100} = \sqrt{c^{2} }[/tex]
10
Help pleas brainliest promised if right
Answer:
78
Step-by-step explanation:
If m∠NOP = 24 and m∠NOQ = 110, what is m∠POQ? Angle N O Q divided into two unequal angles by ray O P. A. 62 B. 86 C. 134 D. 156
Answer:
B. 86 degrees
Step-by-step explanation:
Given the following angles:
m∠NOQ = 110
m∠NOP = 24
Using the addition postulate:
m∠NOQ = m∠NOP + m∠POQ
110 = 24 + m∠POQ
m∠POQ = 110 - 24
m∠POQ = 86
Hence the measure of m∠POQ is 86 degrees
Help plzzzzzzzzzzzzzz show work
Answer:
x=0
Step-by-step explanation:
∵ △ABC~△AED
∴
[tex] \frac{ AE }{ AB } = \frac{ED}{ BC} \\ \frac{4}{10} = \frac{8}{x + 20 } \\ 4x + 80 = 80 \\ 4x = 0 \\ x = 0[/tex]
The temperature in Anchorage, Alaska, is -13°C, and the temperature in Nome, Alaska, is -31°C. Which of the following is true?
A.
Anchorage's temperature = Nome's temperature
B.
Anchorage's temperature > Nome's temperature
C.
Anchorage's temperature < Nome's temperature
Answer:
B. Anchorage's temperature > Nome's temperature
Step-by-step explanation:
Can someone help me?
Answer:
x = 45
Step-by-step explanation:
'x' is the hypotenuse or the 'c' in the Pythagorean Theorem (a² + b² = c²)
27² + 36² = c²
729 + 1296 = c²
2025 = c²
√2025 = c
45 = c
Find the median marks for the following distribution:
Classes
Number of students
0-10
2.
10-20
12
20-30
22
30-40
8
40-50
6
Answer:
10
Step-by-step explanation:
2+12+22+8+6=50
Median =50/5=10
Which expression is equivalent to -9y + 17
Answer:
C. 17 - 15
Step-by-step explanation:
Answer:
Step-by-step explanation:
-9y + 17 is equivalent to the following:
17 - 9y Only order in which the terms appear is different here
-9(y - 17/9) (This is just a regrouping of -9 + 17)
pls help me with this
Which fraction is equivalent to a repeating decimal?
A. 3/50
B. 11/100
C. 4/9
D. 7/8
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
All of the others are equal to .06,.11, and .875 so its C
Last month, Diego's neighbors paid him to take care of their fish when they went on vacation. He spent $13 of his earnings on a book and $9 on some art supplies. Afterward, he had at most $10 left. How can you best describe how much Diego's neighbors paid him?
Answer:
here!<3
Step-by-step explanation:
A: 9 + 13 + 10 is equal to or less than C
B: 32 is equal to or less than C
Step-by-step explanation:
How I got A:
in order to solve this you have to add 9, 13, and 10.
don't solve it right away, but write every number out individually.
It says in the problem, "Afterward he had AT MOST $10".
With this we know we need a sign other than equal to.
if the amount was at most $10, we need to use equal to or less than.
I chose equal to or less than because it says AT MOST, so the amount he was pain will be equal to, or less than all of then numbers given to us added.
How I got B:
I added 9, 13, and 10.
The sum of these numbers is 32
C is our variable, because we don't know how much they paid him
32 is equal to or less than C
Hope this helps <3
The Zika virus originally started with 3 people. The number of people infected doubles every 2 hours.
Part 1: Write an equation to model the situation.
Part 2: How many people are infected after 6 hours?
Part 3: How many people are infected after 2 days?
Answer:
Part 1: [tex]P(t)=3(1.4142)^t[/tex]
Part 2: There are 24 people infected
Part 3: P(48)=50,331,648
More than 50 million people are infected after 2 days
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P(t)=P_o(1+r)^t[/tex]
Where P(t) is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We know the Zika virus started with Po=3 people infected. The number of people infected doubles every 2 hours, which means that for t=2 hours, P(2)=6, thus:
[tex]6=3(1+r)^2[/tex]
Dividing by 3:
[tex](1+r)^2=2[/tex]
Solving for 1+r:
[tex]1+r=\sqrt{2}[/tex]
1+r=1.4142
Part 1:
The equation to model the situation is:
[tex]\boxed{P(t)=3(1.4142)^t}[/tex]
Part 2:
After t=6 hours:
[tex]P(6)=3(1.4142)^6[/tex]
P(6)=24
There are 24 people infected
Part 3:
After 2 days, t=2*24 = 48 hours:
[tex]P(48)=3(1.4142)^48[/tex]
P(48)=50,331,648
More than 50 million people are infected after 2 days
the equation of line L is 2x+y=3 line M is parallel to line L and passes through (1,-6) work out the equation of line give your answer in the form y=ax+b
Answer:
y=-2x-4
Step-by-step explanation:
At the fair, the ratio of males to females was 4:5. If there are 180 people at the fair, how mamy males are there?
Answer:
80 males
Step-by-step explanation:
180 / 9 = 20
20 x 4 = 80
Answer:
the answer is 80 males
Step-by-step explanation:
4(males)+5(females)=9
180(everybody)/9=20
20×4=80 hope this helps
Find the value of y when x=3
y=x+5
y= ?
omg someone find tbe perimeter of this shape for me. ill give brainliest
Answer:
32
Step-by-step explanation:
18+14
Describe a situation that is defined by the linear equation P = 40 + 22t. ASAP HELP
Answer:
Step-by-step explanation:
P could be the price for working as a dog sitter where you ask for $40 to be payed every time you show to work so you can clean the hair off your clothes at the cleaner after work, plus $22 for every hour t you work .
- 4/7 divided by 1 3/4
Answer:
0.32653061224
Step-by-step explanation:
To write 0.32653061224 as a fraction you have to write 0.32653061224 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.32653061224 = 0.32653061224/1 = 3.2653061224/10 = 32.653061224/100 = 326.53061224/1000 = 3265.3061224/10000 = 32653.061224/100000 = 326530.61224/1000000 = 3265306.1224/10000000 = 32653061.224/100000000 = 326530612.24/1000000000 = 3265306122.4/10000000000 = 32653061224/100000000000
And finally we have:
0.32653061224 as a fraction equals 32653061224/100000000000
What does -12(4+g)=?
Answer:
-48-12g
Step-by-step explanation:
Use the distributive property to get your answer
Answer:
-48-12g
Step-by-step explanation:
-12 x 4 = -48
-12 x g = -12g
Put it all together: -48-12g
pls help I will give brainliest
Answer:
1. cm
2. mm
3. km
4. mm
5. m
6. ml
7. L
Step-by-step explanation:
may it help you if not forgive me