Answer:
Find the following square and cube roots.1. √144 2.√16 3.√289
= 12 = 4 = 17
4. √(4/81) 5. √25 6. √400
= 0.222 = 5 =20
7. 3√27 8. 3√-8 9. 3√216
= 15.588 = -2 = 6
10. 3√343 11. 3√-1000 12. 3√1
= 7 = -10 = 3
________________________________
Simplify the following square and cube roots. SHOW WORK!13. √112
= solution,
Cube roots, square roots,
3√112 2√112
= 3√(2x2x2)x2x7 = 4√28
= 2 ∛14 = 4√7
= 4.82
14. √20
=
Solve for x.
С
D
*
112°
yº
(2x)
>>
A
B
Evaluate the expression when a=4 and b=6?
8a-b
Answer: 26
Step-by-step explanation: Multiply first then subtract 8(4)-(6) = 32 - 6 = 26
Answer:
26
Step-by-step explanation:
8a-b
Evaluate or substitute
8(4)-6
32-6
26
If the population of Alaska in 2000
was 622,000 and 733,000 in 2020,
assuming exponential growth, what
would the population be in 2050?
[ ? ] people
The number of people by the year 2050 is obtained as 927915 people.
What is the population in 2050?We know that population is an exponential growth problem in this case. We have to apply the formula;
P = Poe^rt
P = population at time t
Po = Initial population
r = population growth rate
t = time taken
Now;
We have to use the relation to find the growth rate as follows;
733,000 = 622,000 e^20r
733,000/622,000 = e^20r
1.178 = e^20r
ln(1.178) = 20r
r = ln(1.178)/20
r = 0.008
Now;
In the year 2050, we would have;
P = 622,000 e^50 * 0.008
P = 927915 people
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You deposit $2500 into an account that pays
3.5% annual interest compounded daily. How long will it take for the
balance to reach $3000
now, this is assuming there are 365 days in 1 year, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$3000\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years \end{cases}[/tex]
[tex]3000=2500\left(1+\frac{0.035}{365}\right)^{365\cdot t}\implies \cfrac{3000}{2500}=\left(1+\frac{0.035}{365}\right)^{365t} \\\\\\ \cfrac{6}{5}=\left(1+\frac{0.035}{365}\right)^{365t}\implies \cfrac{6}{5}=\left(\cfrac{73007}{73000}\right)^{365t}[/tex]
[tex]\log\left( \cfrac{6}{5} \right)=\log\left[ \left(\cfrac{73007}{73000}\right)^{365t} \right]\implies \log\left( \cfrac{6}{5} \right)=t\log\left[ \left(\cfrac{73007}{73000}\right)^{365} \right] \\\\\\ \cfrac{~~ \log\left( \frac{6}{5} \right)~~}{\log\left[ \left(\frac{73007}{73000}\right)^{365} \right]}=t\implies 5.21\approx t\qquad \textit{about 5 years, 2 months and a half}[/tex]
50 7 x + 22 x=?
Please help
Find the ratios of the quantities below and write them in the form a/b (a over b)
1. 8cm and 17cm
2. 3800$ and 1500$
3. 1 1/2 day and 13 hours
Answer:
Hope the picture will help you
At a basketball game, a vendor sold a combined total of 197 sodas and hot dogs. The number of hot dogs sold was 41 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold: ?
The number of hot dogs sold: ?
At a basketball game, a vendor sold a combined total of 197 sodas and hot dogs. The number of hot dogs sold was 41 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold .
Given : -Total of sodas and hot dog sold = 197No. of hot dogs sold = 41 less than the no. of sodas soldTo Find : -No. of soda soldNo. of hot dog soldConcept : -We have to solve this question by making equation and after creating equations we have to solve them properly to get the final answer .
To Assume : -Let the no. of soda sold be x .Let the no. of hot dogs sold be x - 41 ( Because they are 41 less than sodas )So Starting Solution : -According to question we know that combined total of sodas and hot dogs is :
x + ( x - 41 ) = 197x + x - 41 = 1972x - 41 = 1972x = 197 + 412x = 238x = 238/2x = 119Therefore , No. of sodas sold is 119 .
Now , Hot dogs :
x - 41 119 - 41 78Therefore , No. of hot dogs sold is 78 .
Verifying :We know that their combined sum is equal to 197 . So ,
Sodas + Hot Dogs = 197119 + 78 = 197197 = 197L.H.S = R.H.STherefore , our answer is valid .
#[tex] \sf{Keep \: Learning}[/tex]What’s the domain and range?
Answer:
Domain: [0,4]
Range: [0,64]
Step-by-step explanation:
The domain is all x values the function ranges in and the range is all y values the function ranges in.
x is from 0 to 4.
y is from 0 to 64.
Domain: [0,4]
Range: [0,64]
We use brackets to show that we include the endpoints
How do I solve this I have no idea 9(x-3)*2= 36
Answer:
Your answer is 5
Step-by-step explanation:
Tell me if im wrong
Answer:
0
Step-by-step explanation:
Times -1=0
A) name the angle relationship
B) congruent or supplementary
C) angle measurement
Help please
Step-by-step explanation:
A is adjacent angles
B is supplementary
C is 180 - 131 = 49°
PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
9.7
Step-by-step explanation:
sqrt(12^2-7^2) = sqrt(95) or 9.7
helpppppppppppppppppppppppppppppp
Answer:
-5/2
Step-by-step explanation:
rise/run or up and down/left and right
Answer:
-5/2. It's the answer.
Step-by-step explanation:
formula is m = (y2-y1)/(x2-x1)
7 < 3 - 2x I need help with getting the answer
Answer:
x < - 2
Step-by-step explanation:
7 < 3 - 2x ( add 2x to both sides )
2x + 7 < 3 ( subtract 7 from both sides )
2x < - 4 ( divide both sides by 2 )
x < - 2
A recipe for muffins calls for 1 1 over 3 cups of milk. a recipe for bread calls 2 over 3 cup of milk how much more milk is needed for the muffin recipe than the bread recipe
Answer:
The Muffin Recipe calls for 3 more cups of Milk than the Bread Recipe.
Step-by-step explanation:
11/3=
3[tex]\frac{2}{3}[/tex]
2/3
We can see that the difference is GREAT. So, now, let's subtract.
[tex]3\frac{2}{3} -\frac{2}{3} =3[/tex]
So hence, the Muffin Recipe calls for 3 more cups of Milk than the Bread Recipe!
----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you!"
B.B.King
Thanks!
Have a great night!
~ms115~
:D
The muffin recipe requires 2/3 cup more milk than the bread recipe.
What is subtraction?Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.
To find out how much more milk is needed for the muffin recipe than the bread recipe,
we need to calculate the difference between the amount of milk required for each recipe.
The muffin recipe calls for 1 1/3 cups of milk, which is equivalent to 4/3 cups of milk.
The bread recipe calls for 2/3 cup of milk.
To find the difference between the two amounts of milk, we can subtract the milk required for the bread recipe from the milk required for the muffin recipe:
4/3 - 2/3 = 2/3
Therefore, 2/3 is the required fraction.
To learn more about subtraction;
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Factorise the following quadratic:
m^2 - 5m + 6
Answer:
(m-3)(m-2)
Step-by-step explanation:
Here,
m^2- 5m + 6
=m^2-(3+2)m +6
=m^2 - 3m - 2m +6
=m(m - 3) - 2 (m - 3)
=(m-3)(m-2)
Alex surveyed twenty boys from his class. He asked their height in centimeters and their shoe size. Alex wanted to know if these two variables were related. He graphed the results on the coordinate plane. Each graph below shows Alex’s data.
Which of the graphs shows the best linear fit for the data?
The graph that has a linear fit that is best for the data that Alex collected is the graph attached.
Which graph shows the data best?A linear fit that would be best for Alex's data is one that tries to get an equal number of shoe sizes on both sides of the line.
The shoe sizes should also be a roughly equal distance to the line and the line should be drawn in the middle of the data. The line that does this best is shown attached.
Find out more on linear fits at https://brainly.com/question/839548.
You MUST show your working out!
Answer:
100.32
Step-by-step explanation:
First, we have to find 14% of 88
14% of 88 is = 88 x 14/100
= 12.32
Now we have to increase the number 88 by 14%, which means we have to add 14% of 88 (12.32) to the given number (88)
88 + (14% of 88)
= 88 + 12.32
=100.32
Work out
64.89
% of
407.68
cm
Give your answer rounded to 2 DP.
Answer:
264.54 cm
Step-by-step explanation:
64.89% x 407.68 cmMultiplying
0.6489 x 407.68 cm264.543552 cm⇒ 264.54 cm5. The relationship between temperature in degrees Fahrenheit and degrees Celsius is
shown in the graph below
identify the postulate (SAS, ASA, SSS) / theorem (AAS) that proves the two triangles are congruent.
Answer:
1) SAS
2) ASA
3) SSS
4) AAS
Step-by-step answer, please.
Answer:
-335670
Step-by-step explanation:
Given :
a₁ = 2[tex]a_{i} = a_{i-1}-3[/tex]Solving :
Sum of an arithmetic sequence is given byS₃₃₅ = 335/2 x 2(2) + (335 - 1)(-3)S₃₃₅ = 335/2 x -4008S₃₃₅ = 335 x -2004S₃₃₅ = -335670It forms a arithmetic sequence
First term=a=2Common difference=d=-3So
a_335:-
a+334d2-(334)(3)2-1002-1000So
S_n
n/2[a+l]335/2[2-1000]335/2[-998]335(-499)-16716514 White shapes and black shapes
Some of the shapes are circles.
All the other shapes are squares
are used is a game
The ratio of the number of white shapes to the number of black shapes is 3:7
The ratio of the number of white circles to the sumber of white squares is 4:5
The ratio of the number of black circles to the number of black squares is 2:5
Work out what fraction of all the shapes are circles.
Answer:
1/3
Step-by-step explanation:
Check the attachment.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
76 in^2
Step-by-step explanation:
2 rectangles on the sides: 64 in^2
8x4 = 32
32x2 = 64
rectangle in the middle: 12 in^2
4x3 = 12
altogether area: 76 in^2
64+12 = 76
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
5.946 cm
Step-by-step explanation:
Using the Pythagorean Theorem, we know that in a right angle triangle to find the longest side we must use the equation a^2 = b^2 + c^2
A is the longest side while b and c are the other two sides
To find one side we must use
b^2 = a^2 - c^2
a squared = 6.9 squared - 3.5 squared
a^2 = 35.36
square root 35.36 to get a
a = 5.946427499
a (3 d.p.) = 5.946
pleas help with the khan academy question
Answer:
1. 10
2. 4
3. 8
Step-by-step explanation:
You have to fill in the given values for y and undo in reverse order to find x.
1. y = 6
6 = x - 4
6 (+ 4) = x - 4 (+ 4)
10 = x
2. y = 0
0 = x - 4
0 (+ 4 ) = x - 4 (+ 4)
4 = x
3. y = 4
4 = x - 4
4 (+ 4) = x - 4 (+ 4)
8 = x
I hope this helps! Have a lovely day!! :)
Question Factor −1/4 out of −1/2x−5/4y.
Can someone please help me? This isn’t making sense to me.
Answer:
Answer is equation C
Step-by-step explanation:
They are converting Celsius temperature to Fahrenheit temperature.
F = 1.8C + 32
F = 1.8(0) + 32 = 32 Fahrenheit
F = 1.8(30) + 32 = 86 Fahrenheit
F = 1.8(100) + 32 = 212 Fahrenheit
Answer:
C) F = 1.8C + 32
Step-by-step explanation:
Hello! The easiest way to do this is to substitute the numbers from your table into your possible answer choices until you find numbers that make a true/correct statement.
For A:
F = 32C + 1.8 <== substitute any number for F and C from your table
32 = 32(0) + 1.8 <== multiply
32 = 0 + 1.8 <== add
32 = 1.8
This statement is false/incorrect
For B:
C = 1.8F + 32 <== substitute any number for F and C from your table
0 = 1.8(32) + 32 <== multiply
0 = 57.6 + 32
0 = 89.6
This statement is false/incorrect
For C:
F = 1.8C + 32 <== substitute any number for F and C from your table
32 = 1.8(0) + 32 <== multiply
32 = 0 + 32 <== add
32 = 32
This statement is true/correct
For D:
C = 32F + 1.8 <== substitute any number for F and C from your table
0 = 32(32) + 1.8 <== multiply
0 = 1024 + 1.8 <== add
0 = 1025.8
This statement is false/incorrect
As we can see, the only equation that makes a true statement is C.
Therefore, the correct answer is C.
Hope this helps!
Find the arc length of a central angle of 36° in a circle whose radius is 2 inches.
Answer:
y
Step-by-step explanation:
bc I told u to ..............
a .circle with diamter at (2,2) and (8,14
the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45
How to calculate the equation of a circle?A circle is a 2-dimensional shape with no edges.
The standard equation of a circle with centre (a, b) and radius "r" is given as:
(x-a)^2 + (y-b)^2 = r^2
Given the diameter of circle with coordinate (2,2) and (8,14), the diameter is expressed as:
D = √12² + 6²
D = √144+36
D = √180
For the radius
r = √180/2
r² = 180/4
r² = 45
Determine the centre (a, b)
(a, b) = (2+8/2 2+14/2)
(a, b) = (5, 8)
Substitute
(x-5)^2 + (y - 8)^2 = 45
Hence the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45
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Write -1/3c^2(1.2d^2-6c) as a polynomial
Answer:
[tex]-\dfrac25c^2d^2+2c^3[/tex]
Step-by-step explanation:
[tex]-\dfrac13c^2(1.2d^2-6c)[/tex]
[tex]\implies -\dfrac13c^2 \cdot 1.2d^2+\dfrac13c^2 \cdot 6c[/tex]
[tex]\implies -\dfrac{1.2}{3}c^2d^2+\dfrac63c^2c[/tex]
[tex]\implies -\dfrac25c^2d^2+2c^3[/tex]