Answer:
29
Step-by-step explanation:
it is 29 because mode is most occuring digit or number so 29 is the mode
you put $2012 into an account earning 4.345% interest compounded daily. find the amount in the account at the end of 8 years
0=x^2- 10x+10
Rewrite the equation by completing the square
[tex]~~~~~~x^2 -10x +10 =0\\\\\implies x^2 -2 \cdot 5 \cdot x +5^2 -5^2 +10 = 0\\\\\implies (x-5)^2 -25+10 = 0\\\\\implies (x-5)^2 -15=0\\\\\implies (x-5)^2 = 15[/tex]
PLEASE HELP ITS THE LAST QUESTION I NEED AND THEN ILL BE FINISHED WITH THIS UNIT!!!!! 40 POINTS!!!!
Answer:
First is b; because [B1] is [A1] multiplied by -4
Second is c; because [C2] = 7[B1] + [B2]
Can anyone help? 80 points!
Answer:
D) [tex]4x^2y^3\sqrt[3]{x^2y}[/tex]Step-by-step explanation:
Given expression:[tex](8x^4y^5)^{\frac{2}{3}[/tex]Simplify in steps, using below properties of exponents:
[tex]a^ba^c= a^{b+c}[/tex] Product of Powers Property[tex](a^b)^c=a^{bc}[/tex] Power of Power PropertySolution:[tex](8x^4y^5)^{\frac{2}{3} =[/tex][tex](2^3x^4y^5)^{\frac{2}{3} =[/tex][tex]2^{\frac{3*2}{3}} x^{\frac{4*2}{3}} y^{\frac{5*2}{3}} =[/tex][tex]2^2x^{\frac{8}{3}}y^{\frac{10}{3} =[/tex][tex]4x^{2\frac{2}{3}}y^{3{\frac{1}{3} =[/tex][tex]4x^2x^{\frac{2}{3}} y^3y^{\frac{1}{3}} =[/tex][tex]4x^2y^3(x^2y)^{\frac{1}{3}}=[/tex][tex]4x^2y^3\sqrt[3]{x^2y}[/tex]Correct choice is D
Answer:
[tex]4x^2y^3\sqrt[3]{x^2y}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(8x^4y^5\right)^{\frac{2}{3}}[/tex]
Rewrite 4 as (3 + 1) and 5 as (3 + 2):
[tex]\implies \left(8x^{(3+1)}y^{(3+2)}\right)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]
[tex]\implies \left(8x^3xy^3y^2}\right)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 8^{\left(\frac{2}{3}\right)}x^{\left(3 \times\frac{2}{3}\right)}x^{\left(\frac{2}{3}\right)}y^{\left(3 \times \frac{2}{3}\right)}y^{\left(2 \times \frac{2}{3}\right)}}[/tex]
[tex]\implies 4x^2x^{\frac{2}{3}}y^2y^{\frac{4}{3}}[/tex]
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\frac{4}{3}}[/tex]
Rewrite 4/3 as 1 + 1/3:
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\left(1+\frac{1}{3}\right)}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^1y^{\frac{1}{3}}[/tex]
[tex]\implies 4x^2y^2y^1x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 4x^2y^{(2+1)}x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\implies 4x^2y^3x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies 4x^2y^3\left(x^2\right)^{\frac{1}{3}}y^{\frac{1}{3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot c^b=ac^b:[/tex]
[tex]\implies 4x^2y^3\left(x^2y\right)^{\frac{1}{3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{\frac{1}{n}}=\sqrt[n]{a}:[/tex]
[tex]\implies 4x^2y^3\sqrt[3]{x^2y}[/tex]
Which parent function is f(x)=|x|?
A The linear parent function
B The quadratic parent function
C An exponential parent function
D The absolute parent function
What is the answer for this question
__ hundreds= 90 tens
Step-by-step explanation:
One hundred is 10 tens. Using this information, you can divide 90 by 10 to calculate the hundreds, and get 9 hundreds, or 900
What is the solution set for the following equation?
x² = 16
Answer:
[tex]\{4,-4\}[/tex]
Step-by-step explanation:
[tex]~~~~x^2 = 16\\\\\implies x = \pm\sqrt{16}\\\\\implies x =\pm 4\\\\\implies x = 4 ,~ x = -4[/tex]
Answer:
x = 4
Step-by-step explanation:
x² = 16
We do the opposite of x² , so we [tex]\sqrt{x}[/tex] (square root) both sides
[tex]\sqrt{x}[/tex] = [tex]\sqrt{16}[/tex] = 4
to confirm this, we can square 4, which gets us 16.
Hope this makes sense! Feel free to ask anything further if need be.
- profparis
Segment GH is shown on the graph.
What are the coordinates of the point that divides the
segment into a 3:2 ratio?
O (-7.5, 0.5)
O (0.5, -7.5)
O (-1.2,-2.2)
O (-2.2,-1.2)
The coordinates of the point that divides the segment into a 3:2 ratio is (-2.2, -1.2)
How to determine the coordinate?The points are given as:
G = (-4,3)
H = (-1,-4)
Ratio, m : n = 3 : 2
The coordinate of the point is calculated using:
[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1, my_2 + ny_1)[/tex]
This gives
[tex](x,y) = \frac{1}{3 + 2} * (3 * -1 + 2 * -4, 3 * -4 + 2 * 3)[/tex]
Evaluate
[tex](x,y) = \frac{1}{5} * (-11, -6)[/tex]
Evaluate the product
(x,y) = (-2.2, -1.2)
Hence, the coordinate of the point is (-2.2, -1.2)
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In a sale is 25% off all prices but cost £33 in the sale how much was it before the sale
The original cost was it before the sale will be £ 26.4.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.
In a sale is 25% off all prices but cost £33 in the sale.
Then the original cost was it before the sale will be
Let x be the original cost.
Then we have
1.25x = £33
x = £26.4
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Julieta models a can of ground coffee as a right cylinder. She measures its height as 6 1/4 in and its radius as 1 in. Find the volume of the can in cubic inches. Round your answer to the nearest tenth if necessary.
The volume of the cylindrical can of ground coffee is 19.6 inches cube.
How to find the volume of a cylinder?volume of the can ground coffee = πr²h
where
r = radiush = height of the cylinderTherefore,
r = 1 inches
h = 6 1 / 4 = 25 / 4 inches
volume of the can ground coffee = 3.14 × 1² × 25 / 4
volume of the can ground coffee = 78.5 / 4
volume of the can ground coffee = 19.6 inches³
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Which graph represents the function f(x))=2•(1/3)^x
Answer:
The one in the right top hand corner. It shows one arrow pointing up and one to the right.
Step-by-step explanation:
I can't really explain it.
The product of a number and 2 is 1. Find eight times the number.
Answer:
I would think that it would be 8
Step-by-step explanation:
1-2= (-1)= -1+2=1
I think it's 8. 8 times the number of 1 is well...8.
Step-by-step explanation:
x = the number
x * 2 = 1
soooo x = 1/2
then 8 * 1/2 = 4
Does the graph show a linear function?
Answer:
The graph does show a linear function
Step-by-step explanation:
The line is decreasing at a constant rate that keeps the line straight.
For the polynomial function, find the requested value: f (x) = 10x2 − 4x − 5; f (−2)
Answer:
So first we substitute -2 for x
f(-2) = 10(-2)^2 - 4(-2) - 5
f(-2) = 400 + 8 - 5
f(-2) = 400 + 3
f(-2) = 403
Step-by-step explanation:
What is this expression in simplified form?
2√2-7√18
Answer: Heyaa! ~
Your Answer in simplified form is... −19√2
Step-by-step explanation:
2√2-7√18 = −19√2
Pull terms out from under the radical, assuming positive real numbers.
Hopefully this helps you! ~
Which choice represents the fraction below as a single exponential
expression?
88
O A.
(3)
OB. 811
O C. 3
OD. 85
Answer:
8^5
Step-by-step explanation:
division is just minusing exponents
The correct value of this expression is 8⁵
A fraction is also a division. When we divide power with equal bases - we subtract the exponents and keep the base.
Resolution = 8⁸/8³= 8⁸÷³= 8⁵Therefore, the answer correct is 8⁵
M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?
A.
5 units
B.
9 units
C.
10 units
D.
12 units
This is for edmentum btw
PLEASE HELP ASAP
solve for x
Answer:
29.44
Step-by-step explanation:
Since we know the both the measure of the angle and the adjacent line of the angle, we can use tan to find x.
tan is (Opposite/Adjacent Line)
[tex] \tan(31) = \frac{x}{49} \\ 49 \tan(31) = x \\ 29.44 = x[/tex]
That is the answer
- Kan Academy Advance
A regular pentagon and a square share a mutual vertex B. The sides AB and BC are sides of a third regular polygon with vertex B. How many sides does this polygon have?
There are different kinds of polygon. The number of sides that this polygon have is 5.
What is the polygon about?Note that the side of each polygon = 3.5
The parameter of polygon =17.5
Therefore the number of sides = parameter of polygon / parameter of polygon
So = [tex]\frac{17.5}{3.5}[/tex]
=5
Therefore, The number of sides that this polygon have is 5.
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Given that x= 7.4m and θ= 32°, work out BC rounded to 3 SF.
(not drawn accurately.)
Answer:
BC ≈ 11.8 m
Step-by-step explanation:
using the tangent ratio in the right triangle
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] , that is
tan32° = [tex]\frac{x}{BC}[/tex] = [tex]\frac{7.4}{BC}[/tex] ( multiply both sides by BC )
BC × tan32° = 7.4 ( divide both sides by tan32° )
BC = [tex]\frac{7.4}{tan32}[/tex] ≈ 11.8 m ( to 3 sf )
Select the correct answer from each drop-down menu. policy is the actions taken by the to influence the real gdp and the inflation rate in the economy.
Monetary policy is the actions taken by the reserve banks to influence the real GDP and the inflation rate in the economy.
What is Monetary policy?These are actions done by the central bank of a country and involves adjusting money supply so as to achieve economic growth.
This influences the real gross domestic product and inflation rate of the country .
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Answer: Monetary and Reserve Bank
Step-by-step explanation:
;)
Is 4,-1 a solution to y+1=3(x-4)
Answer
I don’t quite understand what your asking but I hope this helps
y=3x-13
Step-by-step explanation:
In which portion of elgin’s presentation does this information fit? the overview of the situation a solution to the problem an effect of the solution an effect of the problem
A portion of Elgin’s presentation which the given information fits is: B. a solution to the problem.
What is a presentation?A presentation is act that involves the process of speaking to an audience (listeners), so as to formally share and explain an idea, piece of work, subject matter (topic), product, or project, especially for the purpose of proffering a solution to a particular problem.
In this context, we can infer and logically deduce that a portion of Elgin’s presentation which the given information best fits is a solution to the problem because higher taxation on sugary beverages encouraged people to make healthier choices.
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Complete Question:
Elgin is taking notes for his presentation about how people drink too much soda and other sugary drinks, and he finds information about how some cities and states are taxing sugary beverages at a higher rate to encourage people to make healthier choices. In which portion of Elgin’s presentation does this information fit?
A. the overview of the situation
B. a solution to the problem
C. an effect of the solution
D. an effect of the problem
Answer:
B - a solution to the problem
took on edge
an airplane is flying at the height of 10 km above the ground the distance along the ground from the airplane to the airport is 10√3 km . what is the angle of depression from the airplane to the ground
The angle of depression from the aeroplane to the ground will be 30 degrees.
What is trigonometry?
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 kmThe angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.
As we know that the perpendicular theta is height and the base ratio is angle tan theta.
tanФ = Height / Base
tanФ = 10 / 10 √3
tanФ = 1 / √3
Ф = tan⁻¹( 1 / √3 ) = 30°
Therefore the angle of depression from the aeroplane to the ground will be 30 degrees.
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2/3 of a number is 48. What is 1/4 of the number ?
Answer:
your answer will be 18
Step-by-step explanation:
2/3 of 72 is 48, 1/4 of 72 is 18
i need some extra words here so hopefully this works
What are the last two digits of 1 * 2 * 3 * 4 *...*2319*2320*2321*2322 ?
Answer:
1:19
2:20
3:21
4:22
Step-by-step explanation:
I think that's the answer
PLEASE HELP WILL PICK BRAINLIEST!!! 50 POINTS!!!!
AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides in AB a 1:2 ratio?
Answer:
See below ~
Step-by-step explanation:
Applying section formula :
⇒ x = 1(14) + 2(2) / 1 + 2 = 18/3 = 6
⇒ y = 1(14) + 2(2) / 1 + 2 = 18/3 = 6
We understand after substituting the values of the endpoints in the section formula that the Point X divides the line in the ratio 1 : 2.
It makes that every time we flip a fair the probability of flipping tails is
It makes that every time we flip a fair the probability of flipping tails is 50%.
What is the probability?Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If it is equally likely and unlikely that the event would happen, it would have a probability of 0.5
Probability of flipping tails = number of tails / number of sides
1/2 = 0.5 = 50%
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Need urgent help!! It would be really appreciated if someone could help!!
Answer:
[tex]C)~ 10.06~ m[/tex]
Step-by-step explanation:
[tex]~~~~~~\sin 8^{\circ} = \dfrac{1.4}{y}\\\\\implies y = \dfrac{1.4}{\sin 8^\circ}\\\\\implies y \approx 10.06~ m[/tex]
sally works in a factory that produces 1,000 televisions each day. when 40 televisions were sampled, it was found that 6 were defective. estimate how many defective televisions are made each day
An estimate of the number of defective televisions that are made each day is 150.
How many defective televisions are made each day?The first step is to determine the ratio of the televisions sampled to the total number of televisions produced each day.
1000 / 40 = 25
The second step is to multiply, 25 by 6: 25 x 6 = 150
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