Answer:
27 Oz of 25% alcohol
Step-by-step explanation:
--percent ---------------- quantity
Alcohol I 30 ---------------- 18 Oz
alcohol II 25 ---------------- x Oz
Mixture 27 ---------------- 18 + x Oz
30*18+25x=27(18+x)
540+25x =486+27 x
25x-27x =486+540
-2x=-54
/ -2
x = 27
27 Oz of 25% alcohol
Which values of a, b, and c represent the answer in simplest form?
9 / 11 divided 5 / 11 = A B/C
a = 1, b = 99, c = 55
a = 1, b = 55, c = 99
a = 1, b = 4, c = 5
a = 1, b = 5, c = 4
Need help if you can, help please help
Answer:
4.4 km/h
Step-by-step explanation:
From the graph you can see she was at the shop after 30 minutes. If you travel 2.2 km in 30 minutes, your speed is 2.2 / 0.5 = 4.4 km/h
So the trick is to express the 30 minutes as 1/2 hour.
Answer:
4.4 km/h
Step-by-step explanation:
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
Answer:
£170000
Step-by-step explanation:
In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x. In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x
The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x
Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.
⇒ 1.14x = 193800
x = 193800/1.14
x = £170000
Rafik paid £170000 for the house in 2010
The equation K = StartFraction one-half EndFractionmv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = m equals StartFraction K Over 2 v squared EndFraction.. After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared. instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.
Answer:A
Step-by-step explanation:
Answer: Letter A
Step-by-step explanation:
In 2008 Stokely bought a condo that appreciated at a rate of 4% per year he bought the house for $240,000 he decided to sell it this year how much will he sell it for? What would be the Growth/decay rate, the independent variable, the dependent variable, the domain and range, and the starting point
Answer:
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years. Then:
A = ($240,000)(1 + 0.04)^12 (that's 12 years past 2008)
= ($240,000)(1.04)^12 = $384,247.73
Growth rate: 4%, or 0.04
Independent variable: time (t)
Dependent variable: appreciated value of the house, A
Domain: [0, 30) (assuming that the house is sold within 30 years)
Range: [$240,000, infinity) (the house will never sell for an infinite price)
[tex]( - 8x}^{2} - 5x - 6) + ( - x { }^{2} - x + 5)[/tex]
Solve
Answer:zooooooooooooooooooooooooooooooooom
Step-by-step explanation:
You have 24 homework problems for math class. You finish of them during some
extra time in class. If you complete 4 more problems while waiting for the bus, what
fraction of the 24 problems will remain?
دو آدم
8
24
Answer:
Step-by-step explanation:
If you were to complete 4 out of the 24 current homework problems, then I can say that you'd have 5/6 of the problems remaining. This is because 24 divided by 4 is 6, so completing 4 questions counts as completing 1/5 of the total amount of work present. If you want to use whole numbers instead of fractions, you would have completed 4 out of 24 questions and would have 20 remaining
PLEASE ANSWER ASAP AND PROVIDE EXPLANATION! A copy machine is set up to enlarge an original in the ratio 2:3. What is this enlargement in percent?
Answer:
50%
Step-by-step explanation:
Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.
Lest's pretend the original size was 100 in. 100/2x3=150
So in this case we enlarged it by 50 in. which is 50% of 100.
So, the enlargement as a percentage is 50%
Answer:
50% more
3-2=1
1/2=0.5
0.5=50%
You can also double check by adding half of two and checking if it is 3
2 x 0.5 = 1
2 + 1 = 3
50% increase
Hope this helps
Step-by-step explanation:
Find the missing number in the pattern! PLEASE HELP The half-life of caffeine is 5 hours; this means that approximately 1/2 of the caffeine in the bloodstream is eliminated every 5 hours. Suppose you drink a 16-ounce drink that contains 80 mg of caffeine. Suppose the caffeine in your bloodstream peaks at 80 mg. 1. How much caffeine will remain in your bloodstream after 5 hours? 10 hours? 1 hour? 2 hours? Record your answers in the table
Answer:
After five hours, there will be 40 mg of caffeine remaining in the blood.
After 10 hours, 20 mg.
After only one hour, about 69.64 mg.
And after two hours, about 60.63 mg.
Step-by-step explanation:
We are given that one-half of the caffeine in the bloodstream is eliminated every five hours.
We are also given that the initial amount is 80 mg.
Using this information, we can write the following function:
[tex]\displaystyle f(x)=80\left(\frac{1}{2}\right)^{\dfrac{x}{5} }[/tex]
Where x is the number of hours that has passed.
Using this function, we can evaluate for f(5), f(10), f(1), and f(2).
They evaluate to:
[tex]f(5)=40[/tex] [tex]f(10)=20[/tex] [tex]f(1)\approx 69.6440[/tex] [tex]f(2) \approx 60.6287[/tex]
So, after five hours, there are 40 mg of caffeine remaining in the blood.
After 10 hours, 20 mg of caffeine.
After only one hour, about 69.64 mg.
And after two hours, about 60.63 mg.
RSTU is a parallelogram. Solve for x. ANSWERS: A) –5 B) 10 C) 8 D) 0
Answer:
D) 0
Step-by-step explanation:
In a ║gm, opposite sides are parallel and equal.
So,
RS = UT
=> x+5 = 2x+5
=> 2x-x = 5-5
=> 2x = 0
=> x = 0
Answer:
Step-by-step explanation:
i think 0
Find the size of angle XYZ.
Give your answer to 1 decimal place.
Z
13 cm
x
Y
4 cm
Answer:
72.9°solution,
[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]
hope this helps ....
Good luck on your assignment...
By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
What are Trigonometric identities ?Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.
We have given that x=4cm , y=4cm and z=13cm.
By applying trigonometry of tan which is perpendicular upon base i.e. P/B
A triangle would be constructed , base would be z=13cm
and x and y will define the other 2 lines of 4 cm each.
tan Ф = perpendicular/ base,
tan Ф = 13/4
Ф = tan [tex]^{-1}[/tex] (3.25cm)
Ф = 72.9°
Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
Learn more about trigonometric;
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What is the value of c in the equation? 15.3 = StartFraction c Over 2.1 EndFraction 13.2 17.4 32.13 321.3
Answer:
32.13
Step-by-step explanation:
15.3= c/2.1
c= 15.3* 2.1
c= 32.13
Answer:
32.13 aka C got it right on my quiz
Mark the person on top as Brainliest there are right and answered first
Select the three expressions that are equivalent to 6^{2}6 2 6, squared. a: (6^9/6^8)^2 b: 6 times 6 times 6 times 6 times 6 times 6 times 6 / 6 times 6 times 6 c: 6^4/6^2 d: 6^5 times 6^7/6^10
Question:
Select the three expressions that are equivalent to [tex]6^2[/tex]:
a: [tex](\frac{6^9}{6^8})^2[/tex]
b: [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]
c: [tex]\frac{6^4}{6^2}[/tex]
d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
Answer:
a: [tex](\frac{6^9}{6^8})^2[/tex]
c: [tex]\frac{6^4}{6^2}[/tex]
d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
Step-by-step explanation:
Given
[tex]6^2[/tex]:
Required
Find equivalent expressions
To solve this question; we'll simplify options a to do, one after the other
a: [tex](\frac{6^9}{6^8})^2[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that;
[tex](\frac{6^9}{6^8})^2 = (6^{9-8})^2[/tex]
[tex](\frac{6^9}{6^8})^2 = (6^{1})^2[/tex]
From laws of indices;
[tex]{a^m}^n = a^{m*n} = a^{mn}[/tex]
This implies that
[tex](\frac{6^9}{6^8})^2 = (6^{1*2})[/tex]
[tex](\frac{6^9}{6^8})^2 = 6^{2}[/tex]
Hence, [tex](\frac{6^9}{6^8})^2[/tex] is equivalent to [tex]6^2[/tex]
b. [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]
From laws of indices;
[tex]a^m * a^n = a^{m+n}[/tex]
This implies that
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}[/tex]
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{6}}{6^{3}}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{6-3}[/tex]
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{3}[/tex]
Hence; [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex] is not equivalent to [tex]6^2[/tex]
c. [tex]\frac{6^4}{6^2}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6^4}{6^2} = 6^{4-2}[/tex]
[tex]\frac{6^4}{6^2} = 6^{2}[/tex]
Hence, [tex]\frac{6^4}{6^2}[/tex] is equivalent to [tex]6^2[/tex]
d. [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
From laws of indices;
[tex]a^m * a^n = a^{m+n}[/tex]
This implies that
[tex]\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}[/tex]
[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{2}[/tex]
Hence, [tex]\frac{6^5 * 6^7}{6^{10}}[/tex] is equivalent to [tex]6^2[/tex]
help! I’m not sure if it’s c or d thanks!!
Answer:
i think its c
Step-by-step explanation:
d looks even if that makes sense
Answer:
C cannot be represented by a linear function
Step-by-step explanation:
We can draw a line to represent the points, then it would be a linear functions
A,B and D can be represented by a linear function
C is a curve
A sequence is defined by the recursive function f(n+1)= f(n) -2. If f(1) =10. what is f(3)?
Answer:
f(3) is 30
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 600. Round your answer to three decimal places
Answer:
Standard deviation for the number of people with the genetic mutation = 4.178
Step-by-step explanation:
Explanation:-
Given random sample size 'n' =600
proportion of the Population 'p'=3% or 0.03
Let 'X' be the random variable in binomial distribution
Mean of the binomial distribution
μ = n p
= 600 X 0.03
= 18
Mean of the binomial distribution ' μ ' =18
Standard deviation of the binomial distribution
σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]
Conclusion:-
Standard deviation for the number of people with the genetic mutation = 4.178
The ratio of Tom's studying time on a weekday to his studying
time on a weekend day is 4:5. If he studies 2.4 hours each
weekday, how many hours does Tom study in total every
week?
_hours
Answer:
6 hrs
Step-by-step explanation:
4:5
2.4 : 3.2
2.4+3.2=6 hrs
5x−3−7x = 15−x What is x?
Answer:
x = -18Step-by-step explanation:
[tex]5x - 3 - 7x = 15 - x \\ collect \: like \: terms \: \\ 5x - 7x + x = 15 + 3 \\ - x = 18[/tex]
[tex] \frac{ - x}{ - 1} = \frac{18}{ - 1} \\ x = - 18[/tex]
Solids X and Y are similar.
X has volume of 64 cm3
Y has volume of 729 cm3
The surface area of X is 208 cm2
Work out the surface area of Y.
Answer: 2,369.25 cm3
Step-by-step explanation:
Hi, to answer this question we have to use proportions:
X has volume of 64 cm3 and s surface area of 208 cm2
The proportion is = volume / surface area = 64/208
Y has volume of 729 cm3
Volume / surface area = 729/ s (surface area of y)
64/208 = 729/ s
Solving for s:
s = 729 / (64/208)
s = 2,369.25 cm3
Feel free to ask for more if needed or if you did not understand something.
y=1/20x^2
The directrix of the parabola is:
x=-5
x=5
y=-5
Answer:
it's y=5
Step-by-step explanation:
Answer:
The correct answer is -5 not 5.
What is the scale factor in the dilation
2/5
1/2
2
2
1/2
Answer:
I think D, or 2 1/5
Step-by-step explanation:
Solve for x: [tex]22y\3x=8[/tex]
Answer:
x = 4/(11y)
Step-by-step explanation:
22yx = 8
Solve for x so divide each side by 22y
22xy/22y = 8/22y
x = 4/(11y)
The composite figure is made up of a triangle, a square and a trapezoid find the area
===============================================
Work Shown:
P = area of triangle
P = 0.5*base*height
P = 0.5*5*4
P = 10 square units
----------------
Q = area of square
Q = side*side
Q = 5*5
Q = 25 square units
----------------
R = area of trapezoid
R = height*(base1+base2)/2
R = 5*(7+5)/2
R = 5*12/2
R = 60/2
R = 30
----------------
T = total area of the entire figure
T = P+Q+R
T = 10+25+30
T = 65 square units
Answer: 71 sq. units
Step-by-step explanation:
formula: 1/2bh + lw + 1/2h(b1+b2)
1/2(20) + (25) + 1/2 (6) (12)
10 + 25 + (3) (12)
10+ 25 + 36 = 71
If anyone is good at math can you help me pls :/
Answer:
C
Step-by-step explanation:
An apothem is a line segment connecting the center of a regular polygon to the midpoint of its vertex.
Which formula is used to calculate the standard deviation of sample data?
2.
X, - x
+ X2-X
+ ... + X-X
(1928)
s=1
n-1
(x1 - x)2 + (x2-x) +...+(XN-)?
2
11
N
w
(x1 - x)+ (x2-x)2 +...+(x+4) ?
N
2
Xq- x
-3)
+ X2-X
+
+ X
S=
n-1
Answer:
The first option from the picture
Step-by-step explanation:
In the picture attached, the question is shown.
In the first option:
s is the standard deviation[tex] x_1, x_2, \dots, x_n [/tex] are the members of the sample[tex] \bar{x} [/tex] is the sample meann is the number of members in the sampleThe formula for calculating the standard deviation of sample data is expressed as [tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]
What is a standard deviation?The standard deviation is a measure of the amount of variation or dispersion of a set of values.
A lower value of the standard deviation shows that value is close to the mean otherwise it is far from the mean
The formula for calculating the standard deviation of sample data is expressed as:
[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2}{N} }[/tex]
Assume we have the following data x1, x2, ....xn, the standard deviation will be given as:
[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]
Learn more on standard deviation here: https://brainly.com/question/475676
Help me plzzzz plzzz
Answer:
1st Choice
Step-by-step explanation:
The fastest way to do this is by thinking of translations. If you are trying to move it left or right, it will be inside the cube root. If you want to move it vertically, it will be outside the root. In the graph, the child function is moving from the parent function to the right. This means we can eliminate choices C and D. We are left with A and B. A is the right choice because you take the negative of the direction you want to move in. Thus, you have your answer.
Answer:
A
Step-by-step explanation:
g(x)=∛(x-4)
which term best describes the function represented by the graph?
A) Exponential Growth
B) Exponential Decay
C) Linear Decreasing
D) Linear Increasing
Answer:
D
Step-by-step explanation:
Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)
in a right triangle, what is the 3rd angle measure if an angle is 25
Answer:
65
Step-by-step explanation:
The sum of the angles in a triangle is 180. In a right triangle, there is one 90 degree angle. If the second angle is 25, and 90+25+the last angle must add up to 180, simple math can find the value of the last angle.
180-90-25=65
Answer:
65
Step-by-step explanation:
right angle=90
[tex] {90}^{0} [/tex]
therefore 90-25=the third angle 65
Complete the tasks to subtract the polynomials
vertically.
(1.32 +0.412 – 241) – (0.612 + 8 - 181)
What is the additive inverse of the polynomial
being subtracted?
-0.612 + (-8) + (-181)
-0.612 + (-8) + 18+
-0.612 + 8 - 181
0.612 + (-8) + 181
DONE
Answer:
The additive inverse of the polynomial being subtracted is -0.612-8+181
Step-by-step explanation:
Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)
Now the polynomial being subtracted : (0.612 + 8 - 181)
Additive inverse : The number in the set of real numbers that when added to a given number will give zero.
So, Additive inverse of 0.612 = -0.612
Additive inverse of 8 = -8
Additive inverse of -181 = 181
So, The additive inverse of polynomial being subtracted : -0.612-8+181
So, Option B is true
Hence the additive inverse of the polynomial being subtracted is -0.612-8+181
Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a
sample of size 131 with 81% successes. Enter your answer as a tri-linear inequality using decimals (not
percents) accurate to three decimal places.
apa
> Next Question
Answer:
[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]
[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]
And the confidence interval would be:
[tex] 0.730 \leq \p \leq 0.890[/tex]
Step-by-step explanation:
Information given:
[tex] n=131[/tex] represent the sample size
[tex] \hat p=0.81[/tex] represent the estimated proportion
The confidence interval would be given by this formula
[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
For the 98% confidence interval the value of [tex]\alpha=1-0.98=0.02[/tex] and [tex]\alpha/2=0.01[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.
[tex]z_{\alpha/2}=2.326[/tex]
And replacing into the confidence interval formula we got:
[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]
[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]
And the confidence interval would be:
[tex] 0.730 \leq \p \leq 0.890[/tex]