Analyze the diagram below and complete the instructions that follow.
so we know m<3=70
m<2=90
m<2+m<1=m<4
try 50?
let me know if it is wrong
Which statements about the function fare true? Check
all that apply.
The domain of f(x) is {all real numbers).
Answer:
see explanation
Step-by-step explanation:
The following statements are true
The domain of f(x) is all real numbers
The range of f(x) is all real numbers
f(2) = 4
locate x = 2 on the x- axis, go vertically up to meet the line at (2, 4 ) , then
f(2) = 4
A right rectangular prism whose surface area and volume are numerically equal has edge lengths $\log_2 x$, $\log_3 x$, and $\log_4 x$. What is $x
The value of [tex]x[/tex] is 29.
The formulae for the surface area ([tex]A_{s}[/tex]) and volume ([tex]V[/tex]) are, respectively:
[tex]A_{s} = 2\cdot (h\cdot l + w\cdot l + h\cdot w)[/tex] (1)
[tex]V = w\cdot h \cdot l[/tex] (2)
Where:
[tex]w[/tex] - Width.[tex]h[/tex] - Height.[tex]l[/tex] - Length.According to the statement, we must equalize (1) and (2) and substitute the remaining variables:
[tex]2\cdot (h\cdot l + w\cdot l + h\cdot w) = w\cdot h\cdot l[/tex]
[tex]2\cdot h\cdot l + 2\cdot w \cdot l + 2\cdot h\cdot w = w \cdot h \cdot l[/tex]
[tex]2\cdot \log_{2}x\cdot \log_{4}x+2\cdot \log_{3}x\cdot \log_{4}x+2\cdot \log_{2}x\cdot \log_{3}x = \log_{2}x\cdot \log_{3}x\cdot \log_{4}x[/tex]
By applying logarithm properties, we simplify the expression:
[tex]2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right) = \log_{2}x \cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right)[/tex]
[tex]2\cdot \left[\frac{1}{\log_{2}4}+\frac{1}{\log_{2}3\cdot \log_{2}4}+\frac{1}{\log_{2}3}\right] = \left(\frac{1}{\log_{2}3\cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]
[tex]2\cdot \left(\frac{\log_{2}3+\log_{2}4+1}{\log_{2}3\cdot \log_{2}4} \right) = \left(\frac{1}{\log_{2}3 \cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]
[tex]\log_{2}x = 2\cdot (\log_{2}3 + \log_{2}4+1)[/tex]
[tex]\log_{2}x = \log_{2}9 + \log_{2}16 +2[/tex]
[tex]x = 9 + 16 + 4[/tex]
[tex]x = 29[/tex]
The value of [tex]x[/tex] is 29.
We kindly invite to check this question on logarithms: https://brainly.com/question/20838017
Nota - The statement of this question presents typing mistakes and is also incomplete, the corrected form is presented below:
A right rectangular prism whose surface area and volume are numerically equal has edge lengths [tex]\log_{2} x[/tex] (height), [tex]\log_{3}x[/tex] (width) and [tex]\log_{4}x[/tex] (length). What is [tex]x[/tex]?
How many brownies can you make in an 8x8 inch pan?
Answer:
You can make as many as you want, infinitely smaller but you need to specify the size of the brownies
Step-by-step explanation:
An ice cream shop serves about 60 customers in one day. About how many customers does the ice cream shop serve in 40 days?
Answer:
2400
Step-by-step explanation:
60(customers/day) x40(days) = 2400 customers in 40 days
The measures of angles x and y in the above figure is:
Step-by-step explanation:
sum of 2 angles on a straight line = 180°
therefore,
y + 120 = 180
y = 180 - 120 = 60
y = 60°
now apply angle sum property of triangle
now,
50 + x + y = 180
50 + x + 60 = 180
110 + x = 180
x = 180 - 110
x = 70
therefore, x = 70 & y = 60
hope this answer helps you dear! take care
Answer:
x = 70°
y = 60°
Step-by-step explanation:
hope it helps u
plzz plzz pLZZ MARK AS BRAINLIEST
i need help please no bots
Answer:
>
Step-by-step explanation:
Squares eventually get bigger then when you multiply
Someone please help with my STAT homework PLEASE I will give brainliest
Hi there!
a. A stratified sample can be used by dividing the tenants into two groups: those who have children and those who do not have children. Then, a Sample Random Sample FROM EACH stratum can be conducted for a total of 16 tenants surveyed.
b. Using a cluster sample in this situation could introduce undercoverage or selection bias if there is a distinction between those on some floors and those on others. For example, tenants on lower floors might be more opposed to a playground (ex: noise, crowd, etc.) in comparison to those on higher floors.
722000
= ×10
its scientific notation help please
Answer:
7.22 x 10^5
Step-by-step explanation:
Remember that the decimal is always to the right of the ones place.
1. Move it one place to the left and multiply by 10 to compensate.
2. Move it two places to left and multiply by 10^2.
3. Move the decimal point three times and multiply 10^3 to compensate, and the pattern continues until you reach the very last digit, the 7.
4. Numbers after the 7 that are not zeros will be after the decimal point.
so, 7.22 x 10^5
Please help me please help me
Answer:
C=66, C=25 1/7
Step-by-step explanation:
i
C=pi(d)
C=22/7*21
C=66
ii
C=pi(d)
C=22/7*16
C=25 1/7
If you can get poland spring water, 3 for $11.00 how much would be 2 cases of water?
explain
3 cases /3= $11 /3
1 case x 2= 11/3 x2
2 case = 22/3 = (round to the hundreth) $7.33
y=1/2x+4
y=-2x+9
elmantion or substutuion method
Answer:
(2;5)
Step-by-step explanation:
Elimination:
Let's first multiply the first by 2 to clear fractions and write them both in standard form:
[tex]\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\[/tex]
Eliminate x: Multiply the first by 2, then subtract the equations:
[tex]2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5[/tex]
Eliminate y: Multiply the second by 2, then add equations:
[tex]I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2[/tex]
Subtsitution
Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.
[tex]\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2[/tex]
Then let's plug this value into a convenient one - let's say, the first - and find y from there:
[tex]y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5[/tex]
If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.
Which numbers are irrational
Answer:
A & B
Step-by-step explanation:
A rational number is a number that can be written as a fraction or a terminating or repeating decimal. An irrational number is one that cannot be written as a fraction, or one that goes on forever without terminating or repeating in any way. Let's check all of our options and find the ones that are irrational.
Our first option (A) looks irrational! The "..." shows us that it goes on forever, and it doesn't look like it repeats. So this option is irrational.
Our next option is B, the square root of 24. What is the square root of 24? Well, if we look it up on a calculator, we get 4.89897948557..., and it looks like this one doesn't terminate or repeat either. So option B is also irrational.
Option C is the square root of 121. The square root of 121 is 11, which can be written as a fraction (11/1) and is a terminating decimal. So it's rational.
Our last option is D, and it is written already as a fraction, so we know for sure that it's rational. If we divide it out, we get 0.44444... with the 4 going on forever. It's a repeating decimal, and repeating decimals are rational.
So our final answers for which are irrational are A & B.
Given $P(10,12)$ and $Q(20,36)$, find the coordinates of a point whose distance from both $P$ and $Q$ is exactly $13.$
The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
The distance between points, P and Q can be evaluated by the Pythagoras theorem as follows;
Distance, PQ = √(20-10)² + (36-12)²PQ = √(100+576)PQ = √676PQ = 26.Therefore, a point whose distance from both P and Q is exactly 13 is the midpoint of PQ.
Therefore,
x = (20 + 10)/2x = 15y = (36 + 12)/2y = 24.The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
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Amy buys 16 envelopes for 14p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.
Answer:
£2.76
Step-by-step explanation:
The cost of Amy's purchase is ...
16×(£0.14) = £2.24
Her change from £5.00 is ...
£5.00 -2.24 = £2.76 . . . . Amy's change
The diagram below shows two triangles.
Based on the diagram, which statements are true?
Select three that apply.
(Select all that apply.)
The two triangles are congruent since all isosceles right
triangles are congruent.
The two triangles are congruent since the corresponding
sides and angles are congruent.
The two triangles are congruent since a rotation can carry one
triangle onto the other triangle.
The two triangles are congruent since a reflection can carry
one triangle onto the other triangle.
Answer:
1st , 2nd , and 4th
Step-by-step explanation:
A family buys a studio apartment for 120,000. They pay down payment of 18,000.
A. Their down payment is what percent of the purchase price?
B. What percent of the purchase price would a 48,000 down payment be?
Answer:
EZ
Step-by-step explanation:
A. 15 Percent
B. 40 Percent
Answer:
A) 15% B) 40%
Step-by-step explanation:
graph the line with slope -3 passing through the point (4, -3)
Answer:
my suggestion to you is that you use a ruler and a piece of paper to draw out the graph then plot the point down and draw the line.
(I hope this helps you!)
Solve the equation. Plz help.
Answer:
x=5
Step-by-step explanation:
(X-2)(x+1)
Expand and siplify
[tex]\\ \sf\longmapsto (x-2)(x+1)[/tex]
[tex]\\ \sf\longmapsto x(x+1)-2(x+1)[/tex]
[tex]\\ \sf\longmapsto x^2+x-2x-2[/tex]
[tex]\\ \sf\longmapsto x^2-x-2[/tex]
Write the equation of the line in slope-intercept form.
The equation of the line in slope-intercept form is
1. write a mathematical expression that explains the following sentence:
The sum of 4 and d, then multiply the result by 2
Answer:
(4 + d) × 2
Step-by-step explanation:
Find the slope of the line that passes through (10, 9) and (6, 18).
Answer:
M = -2 1/4
Step-by-step explanation:
You can use the formula y2 - y1 / x2 - x1 to get your answer.
y2 is 18 and y1 is 9. x2 is 6 and x1 is 10 so plugging that into the formula above you will get 18 - 9 / 6 - 10.
18 - 9 is 9 and 6 - 10 is -4
9/-4 = M (M is short for slope)
M = -2 1/4
Hope this worked for you.
solve: 9x-7≤28+4x;x€W
we have 9x - 7 ≤ 28 + 4x
⇔9x - 4x ≤ 28 +7
⇔5x ≤ 35
⇔x ≤ 7
ok done. Thank to me :>
Math 8 Question! :)
Four different positive integers have a mean (average) of 100. If the positive difference between the smallest and largest of these integers is as large as possible, determine the average of the other two integers.
Answer:
2.5
Step-by-step explanation:
"Four different positive integers have a mean (average) of 100"
The total of the 4 numbers is then 4* 100 = 400
"the positive difference between the smallest and largest of these integers is as large as possible"
to get the greatest difference the first 3 numbers must be
1, 2 and 3 which totals 6
the 4th number is then 400 - 6 = 394
the four numbers are 1, 2, 3 and 394
The greatest difference is between 1 and 394
"the average of the other two integers"
(2 + 3)/2 = 2.5
The average of the other two integers is 1.5.
What is the average of the two numbers?
An integer is an whole number. An example of an integer is 20.
If the mean of the four integers is 100. It means that the sum of the integers must be 400. If the integers are 0,1,2, 397. The largest number is 397 and the smallest number is 0. The average of the other two integers is (1 + 2 ) / 2 = 1.5
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A 12 foot fence on the property line casts a 25 foot shadow on the shortest day of the year, and the north side of the house is set back 60 feet from the property line.
Using similar triangles formed by the fence, and the house, the top of which the property line passes, the height of the house can be determined.
The height of the house is 28.8 feet.Reasons:
The given parameters are;
Height of the fence = 12 foot
Length of the shadow cast by the fence = 25 foot
Distance of the house from the property line = 60 feet
The maximum allowable height for the house.
Solution:
Using similar triangles, we have;
[tex]\displaystyle \frac{Height \ of \, fence}{Length \ of \ fence \ shadow} = \mathbf{\frac{Height \ of \, house}{Distance \ of \ house\ from \ property \ line}}[/tex]
Which gives;
[tex]\displaystyle \frac{12}{25} = \mathbf{\frac{Height \ of \, house}{60}}[/tex]
[tex]\displaystyle Height \ of \ house = \frac{12}{25} \times 60 = 28.8[/tex]
The height of the house = 28.8 feet
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Please find attached the drawing of the question created with MS Visio, obtained from a similar question online.
solve x. 24-8x=-16 and have a bless day
Answer:
x = 5
Step-by-step explanation:
24 - 8x = -16
Subtract 24 from both sides.
-8x = -40
Divide both sides by -8.
x = 5
Answer:
5
Step-by-step explanation:
24 - 8x = -16
24 + 16 = 8x
8x = 40
x = 40/8
= 10/2
= 5
HELP PLSSSSS TY
Health Club Fees You are choosing between two health clubs. Club A offers membership for a fee of $14 plus a monthly fee of $29. Club B offers membership for a fee of $28 plus a monthly fee of $22. After how many months will the total cost of each health club be the same?
Answer:
2 months
Step-by-step explanation:
To solve this equation create an expression for the cost of each club. Use the slope-intercept form of y=mx+b where m is the monthly fee and b is the flat fee. So the 2 expressions would be A) 29x+14 and B) 22x+28. Since we want to find when these are equal, set the expressions equal to each other. This gives the equation 29x+14=22x+28. Then, solve for x.
29x+14=22x+287x+14=287x=14x=2When solved, x=2. This means that after 2 months the cost of each will be the same.
[tex]\frac{4x}{5}+\frac{5x}{6}[/tex]
To solve this issue, first we have to match the denominators, for this we have to take the LCM from the denominators 5.6, Then just solve the fraction normally, See:
[tex]\sf \dfrac{4x}{5}+\dfrac{5x}{6}\to LMC~(5,6)=30\\\\\\\sf =\dfrac{24x}{30}+\dfrac{25x}{30}\\\\\\\sf =\dfrac{24x+25x}{30}\\\\\\\boxed{\sf \frac{49x}{30}}[/tex]
Okay?!PLS HELP NEED THIS IN 1 HOUR 25 POINTS!!!!
The function below represents the annual interest Alexander earns on a savings account. Identify the term that represents the amount of time that the money is accruing interest.
f(x) = 500(1 + 0.02)x
500
1
0.02
x
Answer:
500: starting amount
(1 + 0.02): interest/growth rate
x: time
Step-by-step explanation: