Answer:
it must be C because it has a better explanation
PLZ HELP!!!!!
Calculate x
Answer:
x = 31
Step-by-step explanation:
The two triangles are similar, so [tex]\triangle{NPO} \sim \triangle{YZO}[/tex].
Vertex N matches up with vertex Y.
Vertex P matches up with vertex Z.
Vertex[tex]\frac{NO}{YO}=\frac{1}{4}\\\\\frac{x}{124}=\frac{1}{4}\\\\4x=124\\\\x=31[/tex] O matches up with itself.
Corresponding sides are in proportion. To find the proportion between the two triangles, you use known sides from each.
[tex]\frac{NP}{YZ}=\frac{23}{92}=\frac{1}{4}[/tex] meaning the small triangle is 1/4 the size of the large one.
To find x , notice that it is side NO which corresponds to side YO from the large triangle.
A cube has edge lengths of 11 ft. What is the volume of the cube?
Answer:
1331 ft³
Step-by-step explanation:
The volume of a cube = (edge length)³
From the above question,
Edge length = 11 ft
The volume of the cube = (11 ft)³
= (11 ft × 11 ft × 11 ft)
= 1331 ft³
The volume of the cube = 1331 ft³
A culture of 100 bacteria grows at a continuous rate of 20%. Two hours later. 60 of the same type of bacteria are placed in a culture that allows a 30% growth rate. After how many hours do both cultures have the same population? Explain your answer.
Answer:
Both cultures will have the same population after 11 hours.
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for population growth is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
A culture of 100 bacteria grows at a continuous rate of 20%.
This means that [tex]P(0) = 100, r = 0.2[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P_{1}(t) = 100(1+0.2)^t[/tex]
[tex]P_{1}(t) = 100(1.2)^t[/tex]
The other culture starts to hours later, and we want to take that time as a parameter. So
[tex]P_{1}(2) = 100(1.2)^2 = 144[/tex]
Which means that when culture 2 growth starts, the population size of culture 1 is described by the following equation:
[tex]P_{1}(t) = 144(1.2)^t[/tex]
Two hours later 60 of the same type of bacteria are placed in a culture that allows a 30% growth rate.
This means that [tex]P(0) = 60, r = 0.3[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P_{2}(t) = 60(1+0.3)^t[/tex]
[tex]P_{2}(t) = 60(1.3)^t[/tex]
After how many hours do both cultures have the same population?
This is t for which:
[tex]P_{1}(t) = P_{2}(t)[/tex]
So
[tex]144(1.2)^t = 60(1.3)^t[/tex]
[tex]\frac{(1.3)^t}{(1.2)^t} = \frac{144}{60}[/tex]
[tex](\frac{1.3}{1.2})^t = \frac{144}{60}[/tex]
[tex]\log{(\frac{1.3}{1.2})^t} = \log{\frac{144}{60}}[/tex]
[tex]t\log{\frac{1.3}{1.2}} = \log{\frac{144}{60}}[/tex]
[tex]t = \frac{\log{\frac{144}{60}}}{\log{\frac{1.3}{1.2}}}[/tex]
[tex]t = 11[/tex]
Both cultures will have the same population after 11 hours.
Which number is the additive inverse of 47? Hi. SI56 -47 1 W om 04
Answer:
4 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The additive inverse is the value that must be added to the number to give zero.
- 4 [tex]\frac{1}{4}[/tex] + 4 [tex]\frac{1}{4}[/tex] = 0
↑ additive inverse
Please Solve. Thanks.
Answer:
Option C, Y and Z appear to be parallel lines
Hope this helps!
Please help,
NO LINKS PLEASE
Answer:the photo is to bleary
Step-by-step explanation:
whats 10.50x +64=300
Answer:
74.5
Step-by-step explanation:
Please answer 7 and 8, ill give brainliest
how do i factor this trinomial 5y^2 — 7y — 6
Answer:
(5y+3) x (y-2)
Step-by-step explanation:
5y^2-7y-6
5y^2+3y-10y-6
y(5y+3(-2(5y+3)
(5y+3) x (y-2)
what is 3.72 x 10*5 divided by 6 x 10*2
Answer:
1.55
Step-by-step explanation:
What is the median of 8, 7.5, 6, 5.75, 10.25, 13.75, 6.5, 8.75, 9, 8, 9.25, 10, 8.25, 8.25, 9.25, 11, 6.75, 7, 9.5, 8.5
Answer:
8.375
Step-by-step explanation:
5.75,6, 6.5, 6.75, 7, 7.5, 8, 8, 8.25, 8.25, 8.5, 8.75, 9, 9.25, 9.25, 9.5, 10, 10.25, 11, 13.75
8.25 + 8.5 = 16.75
16.75/2 = 8.375
Describe the trend/correlation
shown in the scatter plot below
Answer:
Negative correlation.
Step-by-step explanation:
Negative correlation means that as x increases, y decreases
Positive correlation means that as x increases, y also increases.
No correlation means that neither of the two above cases happens.
In the graph, we can see that on the right (when x is negative) the general y values are larger.
As x increases, the y-values decrease.
(Particularly, we could adjust these data with a linear equation with a negative slope)
Then this is a negative correlation.
Determine the zeros of the function f(x)=x^2-2x-8.
Who is correct?
PLease answer ASAP!! pls (:
Answer: Isaiah is correct because you can never be sure whether it’s gonna be a queen but you can be sure that the card could be red
Step-by-step explanation:
How old am I if 500 reduced by 2 times
my age is 322?
Answer:
You are 89 years old.
Step-by-step explanation:
First I subtracted 322 from 500 which got me 178. Then I finally did 178 divided by 2 which got me 89.
Hope this helps you! :)
Using the formula m= f(x2) - f(x1)/x2 - x1, what is the rate of change for the linear function that contains the
points (-3, 2) and (1,10)?
1/2
8
-4
2
Answer:
2
Step-by-step explanation:
The slope of the line through (-3, 2) and (1,10) can be found by lining up the point's vertically and subtracting then putting 2nd difference on top of first.
(1,10)
Minus
(-3,2)
-------
8/4=2
The slope is 2.
How many diagonals does a convex angle have?
Solve The Two Equations for x.
Answer:
x = 7, x = 5
Step-by-step explanation:
[tex]\frac{3x+3}{8}[/tex] = 2x - 11 ( multiply both sides by 8 to clear the fraction )
3x + 3 = 16x - 88 ( subtract 3x from both sides )
3 = 13x - 88 ( add 88 to both sides )
91 = 13x ( divide both sides by 13 )
7 = x
--------------------------------------------------------------
[tex]\frac{4x-6}{7}[/tex] = 2 ( multiply both sides by 7 )
4x - 6 = 14 ( add 6 to both sides )
4x = 20 ( divide both sides by 4 )
x = 5
3x + 3 / 8 = 2x - 11
Multiply both sides by 8
8 × ( 3x + 3 / 8 ) = 8 × ( 2x - 11 )
3x + 3 = 16x - 88
Add both sides 88
3x + 3 + 88 = 16x - 88 + 88
3x + 91 = 16x
Subtract both sides 3x
3x - 3x + 91 = 16x - 3x
91 = 13x
Divide both sides by 13
91 ÷ 13 = 13x ÷ 13
7 = x
x = 7
_________________________________
4x - 6 / 7 = 2
Multiply both sides by 7
( 4x - 6 / 7 ) × 7 = 2 × 7
4x - 6 = 14
Add both sides 6
4x - 6 + 6 = 14 + 6
4x = 20
Divide both sides by 4
4x ÷ 4 = 20 ÷ 4
x = 5
what are the first three terms of the sequence defined by the following function?
f(n)=41+(n-1)^5
Answer:
41, 40 and 9Step-by-step explanation:
[tex]f(n)=41+(n-1)^5\\\\f(1)=41+(1-1)^5=41\\\\f(2)=41+(2-1)^5=41-1=40\\\\f(3)=41+(3-1)^5=41-32=9[/tex]
Callie uses leather cord to make necklaces. She has a piece of leather cord that has a length of 4 yards. Each necklace will have a length of 28 inches. How many necklaces can Callie make?
A. 32
B. 24
C. 4
D. 5
Peter has an average daily balance on his credit card of $127.50. His credit card charges 14.99% annual interest. What will his monthly finance charge be
Answer:
$1.59
Step-by-step explanation:
monthly finance charge = average daily balance x monthly interest
monthly interest = 14,99% / 12 = 1.249%
1.249% x $127.50 = $1.59
WHICH EXPRESSION HAS THE GREATEST VALUE
Answer:
The second, 16^3/2
Step-by-step explanation:
The first is equal to 16
The second is equal to 64
The third is equal to 16
The fourth is equal to 16
The required, greatest volume among the given number is [tex]16^{3/2}[/tex].
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
Here,
The given number,
∛64² simplified to 16,
[tex]16^{3/2}[/tex] simplified to 64.
√16² simplified to 16
∛8⁴ simplified to 16
Thus, the required, greatest volume among the given number is [tex]16^{3/2}[/tex].
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ3
You want to estimate the number of students in your school who support extra funding for the music club. You survey every second student who enters the school.
Determine whether the sample is biased or unbiased.
Answer: It’s UNBIASED!
Step-by-step explanation:
Determine how to translate triangle ABC to triangle A'B'C'
Given triangle ADE shown below with overline BC || overline DE . if AB=16, BD=8, and DE = 30, which of the following is the length of overline BC
1) 20
2) 60
3) 15
4) 22
The volume of a cylinder is 117.1 cubic feet, and its height is 15 ft. Find the diameter of the base of the cylinder.
Answer:
3.15 ft
Step-by-step explanation:
V
Volume of a cylinder: πr²h. Solving for r², we get r² = ---------
πh
Here, we get r² = (117.1 ft³) / (3.14·15 ft) = 2.48 ft² and r = √(2.48 ft²), or
1.58 ft, so that the diameter is 2r, or 3.15 ft
The diameter of the base of the cylinder is 3.15 ft.
Jonathan just got $12 for his weekly allowance. He puts half of his allowance in his savings
account. What could he do with the rest of the money? Select all that apply.
donate $1 to charity and keep $5 for spending money
spend $10 on a baseball cap and donate $2 to charity
spend $9 renting a canoe and $3 for a water bottle
spend $3 on candy, $5 on an ice cream sundae, and $4 on a baseball
Answer:
keep 5 dollars spending and 1 dollar charity
Step-by-step explanation:
the rest don't add up to 6 dollars and that is all the money he has.
what is equivalent to √1,620 / √180
Answer:
the answer is this! understand
7, 3, -1, -5, … What is the 7th value in the sequence?
Answer:
- 17Step-by-step explanation:
7
3 = 7 - 4
-1 = 3 - 4
-5 = -1 - 4
so the 5th: -5 - 4 = -9
the 6th: -9 - 4 = -13
and the 7th: -13 - 4 = -17
What is the common ratio between successive terms in the sequence? 27,9,3,1, 1/3, ,1/9, 1/27
Answer:
1/3
Step-by-step explanation:
Take the second term and divide by the first
9/27 = 1/3
Take the third term and divide by the second
3/9 = 1/3
Check each subsequent ratio, we can see the common ratio is 1/3