Answer:
10
Step-by-step explanation:
55³ + 66³ =
= (5 × 11)³ + (2 × 3 × 11)³
= 5³ × 11³ + 2³ × 3³ × 11³
= 11³(5³ + 2³ × 3³)
= 11³ × 341
= 11³ × 11 × 31
= 11^4 × 31
The factors are:
1, 11, 31, 11², 11³, 11^4, 11 × 31, 11² × 31, 11³ × 31, 11^4 × 31
The factors are:
1, 11, 31, 121, 341, 1331, 3751, 14641, 41261, 453871
Answer: 10
Write a formula that describes the value of an initial investment of $4000 that loses value at a rate of 10% per year, compounded six times per year.
since the investment is losing 10%, let's plug that in the compound interest equation but with a negative rate of 10%.
[tex]~~~~~~ \underset{\textit{with a negatie rate}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1~~ - ~~\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{six times} \end{array}\dotfill &6\\ t=years\dotfill &t \end{cases}[/tex]
[tex]A=4000\left(1~~ - ~~\frac{0.10}{6}\right)^{6\cdot t}\implies A=4000\left( \frac{59}{60} \right)^{6t}[/tex]
1 + a to the power 3
[tex]1 + {a}^{3} [/tex]
Find the area
A. 775
B. 625
C. 475
Answer:
625 in²
Step-by-step explanation:
⇒ Area of the figure = Area of the rectangle + Area of the triangle
Finding the base of the triangle
b² = 25² - 15²b² = 625 - 225b² = 400b = 20 in.Finding Area
A = 25 x 19 + 1/2 x 20 x 15A = 475 + 150A = 625 in²If the labor force is 300,000 workers,
but 24,000 are unemployed, what is the
unemployment percentage?
A. 3%
B. 8%
C. 18%
D. 24%
Answer:
8%
Step-by step explanation:
We are given:
Total workers: 300,000Unemployed workers: 24,000The formula to determine the percentage of unemployed workers in the total workers, we need to divide the number of unemployed works by the total workers in the labor force. Then, multiply the quotient by 100 to obtain the percentage of unemployed workers.
Formula:
[tex]\dfrac{\text{Unemployed workers}}{\text{Total workers} } \times 100 = \text{Percentage of unemployed workers}[/tex]
Substitute the given values into the formula to determine the percentage of unemployed workers in the labor force.
[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } \times 100 = \text{Percentage of unemployed workers}[/tex]
Now, simplify the equation. The easiest way to simplify the equation is to temporially ignore the "100".
[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } = \text{Percentage of unemployed workers}[/tex]
Then, cancel the "0's" on the L.H.S. This is a good way to simplify the equation on the L.H.S
[tex]\implies \dfrac{\text{24}}{\text{300} } = \text{Percentage of unemployed workers}[/tex]
Don't forget to multiply the result by 100 as it was temporaily hidden.
[tex]\implies \dfrac{\text{24}}{\text{300} } \times 100= \text{Percentage of unemployed workers}[/tex]
Let 100 be 100/1. Thus, our equation will be:
[tex]\implies \dfrac{\text{24}}{\text{300} } \times \dfrac{100}{1} = \text{Percentage of unemployed workers}[/tex]
Multiply the numerator with the numerator and the denominator with the denominator.
[tex]\implies \dfrac{24 \times 100}{\text{300} \times 1} } = \text{Percentage of unemployed workers}[/tex]
[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]
Cancel the "0's" on the L.H.S to make it easier to simplify.
[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]
[tex]\implies \dfrac{24}{\text{3} } = \text{Percentage of unemployed workers}[/tex]
[tex]\implies 8 = \text{Percentage of unemployed workers}[/tex]
Thus, 8% of the workers are unemployed workers.
Railway Cabooses just paid its annual dividend of $5.10 per share. The company has been reducing the dividends by 13 percent each year. How much are you willing to pay today to purchase stock in this company if your required rate of return is 15 percent?
Answer:
15.85
Explanation:
Po = D1 / (k-g)
Po = purchase price,D1 = Dividend in paid in next year,k = required rate of return,g= growth rate
Po = (5.10 (1-0.13)) / (0.15-(-0.13))
Po= 15.85
The possible outcomes for tossing a coin four times are shown below.
If a coin is tossed four times, what is the probability of getting exactly three heads?
A. 1/3
B. 1/2
C. 1/4
D. 1/8
Step-by-step explanation:
I think that B IS CORRECT BECAUSE EVERY TIME you toss the coin there is half chance of getting tail and half of head
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Find the value of x.
44°
76°
to
Answer:
120°
Step-by-step explanation:
sum of angles on adjacent sides= exterior angle
x= 76+44 = 120
The concept of this question belongs to sum of internal angles of triangle and Linear pair of angles .
Solution : -Firstly , we are finding value of angle y. So sum of Angle 1 , Angle 2 and Angle y is equal to 180° because sum of all angles of internal triangle is 180°. So :
44° + 76° + y° = 180°120° + y° = 180°y° = 180° - 120°y° = 60°Therefore , value of angle y is 60° .
Now , we are finding the value of x :
As we know angle 3 ( y ) and angle 4 ( x ) is equal to 180° because they form linear pair . So :
60° + x° = 180°x° = 180° - 60°x° = 120°Therefore, value of angle x is 120° .
# [tex] \sf{ \bold{Keep \: Learning}}[/tex]7. An 18-foot long ramp is placed at a loading
dock that is 5 feet above ground. How far is
the bottom of the ramp from the dock?
17.29162
Step-by-step explanation:[tex]\sqrt{18^2-5^2}[/tex]
__________________________________________
Evaluate the equation/expression:[tex]17.29162[/tex]
I hope this helps you
:)
(PLEASE HELP DUE TODAY!!!!!!!!!!!!!!!!!1) Did you know that 1000 can be written as the sum of the 5 consecutive positive integers beginning with 198? That is,1000=198+199+200+201+202 Also, 1000 can be written as the sum of 16 consecutive positive integers beginning with 55. That is,1000=55+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70 It is also possible to write 1000 as a sum of 25 consecutive positive integers. This is the maximum number of consecutive positive integers that could be used to create the sum. Determine the smallest of the positive integers in this sum. Explain or show how you got your answer.
Answer:
Alright! So, the formula is
x+x+1+x+2+x+3+x+4....x+24
You can do 25x+300=1000
25x=700
x=28
What is the area of this figure?
Answer:
Area=length×width
=12m×15m
=180m
so,the area is 180.
hope it helps!
Need help answering this
HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME
Answer:
152 sq in
Step-by-step explanation:
Surface area just means to find the area of all of the sides of a shape. This triangular prism has been flattened so you can see both bases (triangles) and all three lateral sides (rectangles)
Area of a triangle is:
A = 1/2 b•h
= 1/2 •8•4
= 16
There are 2 of these triangles.
A_bases = 32
Then there are 3 rectangle sides, area of a rectangle is:
A = l × w (or b•h)
6 × 5 = 30
6 × 8 = 48
6 × 7 = 42
Add up all the areas.
32 + 30 + 48 + 42
Total surface area is:
A = 152 sq in
Answer:
152
Step-by-step explanation:
What is the slope of a line perpendicular to the line with equation y = 4x + 5?
4
−14
−4
−5
Answer:
Slope= 4
Step-by-step explanation:
y=mx+b
4x
4= slope
Find the unit cost (i.e. dollars per unit). Round the answer to 3 decimal places when necessary. A package of 3 AAA batteries costs $3.36.
Write the word sentence as an inequality. A number y minus 1/2 is no more than −3/2 .
Answer:
y - 1/2 ≤ -3/2
Step-by-step explanation:
y minus 1/2
y - 1/2
is no more than means is less than or equal to ≤
y - 1/2 ≤ -3/2
Quentin works as a used car salesman, where he earns $8 per hour and an average commission
of $260 per car sold. He wants to earn at least $1040 per week. Write an inequality to represent this scenario, define your variables and explain why you chose them.
Answer:
Step-by-step explanation:
$8 per hour + average commision $260 per car sold ≥ $1040 per week.
This two numbers can make 1040 dollars a week or less. It depends on how many cars he can sell.
Where can parentheses be placed to make 6+2³-4×3 value 500
~Denki Kaminari here~
6 + 2³ - 4 × 3 = 500
The parentheses will most likely go before the exponent because that will raise your number up higher.
(6 + 2)³ - 4 × 3 = 500
(8)³ - 4 × 3 = 500
512 - 12 = 500
500 = 500
So the parentheses will go around the (6 + 2).
hope this helps :D
Solve the inequality: 3 < -5X+2X
Answer:
Inequality Form:
X< −1
Interval Notation:
(−∞,−1)
Step-by-step explanation:
Answer:
[tex]x < -1[/tex]
Step-by-step explanation:
First you need to combine the like terms -5x and 2x to get [tex]3 < -3x[/tex]
Then, you need to devide both sides by -3 to get [tex]-1 < x[/tex] , but because the factor is negative, we flip the relation to get [tex]x < -1[/tex]
I really need this, someone help
6+6+8+14=34 all you need to do is add them I think
WILL GIVE BRAINLIEST!!!!
Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils. Without looking, Carlos pulls out 22 pencils. If the pencils were distributed randomly in the bin, how many pencils of each color is it most likely that he picked?
A. 8 red, 7 green, 7 blue
B. 10 red, 7 green, 5 blue
C. 10 red, 8 green, 4 blue
D. 11 red, 6 green, 5 blue
E. 12 red, 6 green, 4 blue
Answer:
E. 12 red, 6 green, 4 blue
Step-by-step explanation:
To find the number of colored pencils for each color, we must find ratios.
480 red: 240 green: 160 blue
Then we divide them to the simplest ratios.
We divide all the numbers by 80.
6 red: 3 green: 2 blue
There are a total of 11 pencils here. To get 22 pencils, you multiply the ratio by 2 to get 22 pencils.
12 red: 6 green: 4 blue
The pencils of each color are 12 red, 6 green, 4 blue. The correct option is E.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils.
Without looking, Carlos pulls out 22 pencils.
The pencils were distributed randomly in the bin.
To find the numbers of pencils of each color:
First, we will find the ratio.
Red : Green : Blue
= 480 : 240 : 160
We will factor out the common factor,
= 12: 6: 4
Therefore, 12 red, 6 green, 4 blue are the pencils of each color.
To learn more about the ratio;
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Based on the graphs of the equations y = 2x + 4 and y = x2 – x + 4, the solutions are located at points:
(3, 10) and (–2, 0)
(–2, 0) and (0.5, 3.75)
(3, 10) and (0, 4)
(0.5, 3.75) and (0, 4)
The solution of the equations y = 2x + 4 and y = x² – x + 4 will be (0, 4) and (3, 10). Then the correct option is C.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The system of the equations are given below.
y = 2x + 4 …1
y = x² – x + 4 …2
From equation 1 and 2, then the equation will be
x² – x + 4 = 2x + 4
x² – 3x = 0
x(x – 3) = 0
x = 0, 3
At x = 0, the value of the y will be
y = 2(0) + 4
y = 0+ 4
y = 4
At x = 3, the value of the y will be
y = 2(3) + 4
y = 6 + 4
y = 10
Thus, the solution of the equations will be (0, 4) and (3, 10).
Then the correct option is C.
The graph of the line and the parabola is given below.
More about the solution of the equation link is given below.
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Which number is located between 1.2 and 1.4 on the number line
Stacy buys a bagel assortment that has 6 oat bagels for every 2 blueberry bagels. Naomi buys a bagel assortment that has 9 oat bagels for every 5 blueberry bagels. Each girl bought 10 blueberry bagels.
Stacy’s Bagels
Oat 6 12 18 24 30 36
Blueberry 2 4 6 8 10 12
Naomi’s Bagels
Oat 9 18 27 36 45 54
Blueberry 5 10 15 20 25 30
Find the number of oat bagels that each girl bought.
Stacy bought
oat bagels, and Naomi bought
oat bagels.
Answer: Stacy: 30 Naomi: 18
Step-by-step explanation:
Stacy- ratio of oat to blueberry is 6:2 we want to find x:10
10 is 5 times 2, and whatever you do to the bottom you have to do to the top, and 6 times 5 is 30
Naomi- ratio of oat to blueberry is 9:5 we want to find x:10
The 10 is 2 times 5, and whatever you do to the bottom you have to do to the top, and 9 times 2 is 18
What is the area of the figure?
To solve the area of a complex shape
⇒ best split the shape into smaller regular shapes
⇒ let's split this one into
⇒the rectangle that has a length of 7cm and width of4 cm
⇒ and a pentagon that has a height of 8cm and the two bases of
length 7cm and 19 cm
Area of Rectangle = length * width = 7 *4 = 28[tex]cm^2[/tex]
Area of Pentagon = [tex]\frac{1}{2}(b1+b2)*h[/tex]
b1: length of one of the bases ⇒ 7cmb2: length of the other base ⇒ 19cmh: length of the height ⇒ 8 cmArea of Pentagon = [tex]\frac{1}{2}(7 + 19)*8 = \frac{1}{2}*26*8 = 26 * 4 = 104cm^2[/tex]
Total Area = Area of Rectangle + Area of Pentagon
= 104 + 28 = 132[tex]cm^2[/tex]
Hope that helped!
Martin is saving money to buy a new phone that costs $1,000 by selling trees. He is using an app to manage his
sales, but it keeps a fraction of each sale. His net pay is modeled by the function P(x) = x2 + 20x– 196, where x
represents the number of sales. How many sales does Martin need to make to earn $1,000?
Answer: 26 sales
Step-by-step explanation:
If you plug in 26 you will get exactly $1,000
Martin needs to sale 8 pieces to make it $1000.
How to elaborate the problem ?
Martin has to save $1000.
He is using an app to manage all the sales, but if keeps fraction of every sales.
The equation which represents his net pay is P(x)=[tex]x^{2}+20x-196[/tex]
How many sales does martin need ?We have to solve the given quadratic equation.
Here, x= (-b±[tex]\sqrt{ b^{2}-4ac }[/tex])/2a
⇒ x= (-20±[tex]\sqrt{400+4*196}[/tex])/2
⇒ x= (-20±[tex]\sqrt{1184}[/tex])/2
⇒ x= -10±[tex]\sqrt{296}[/tex]
⇒ x= -10±17.2
We habe to take the maximum value of x. So we neglect the negative sign.
Hence, x= -10+17.2 = 7.2 = 8 (approx) ,here we can not take 7 because if he sales 7 pieces then the money should less than $1000.
Learn more about Quadratic equation here :
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2/5 = 1/2x how would i solve this
[tex]\dfrac 25 = \dfrac 12 x\\\\\implies x = \dfrac{2 \times 2 }5 = \dfrac 45[/tex]
If you bought a T-bill for $99.44 and held it for 180 days, what would be your return?
Answer:
about 1.14%
Step-by-step explanation:
Assuming you can redeem the T-bill for $100 at the end of the period, the interest rate can be found from the formula for simple interest:
I = Prt . . . . where P is the principal invested, r is the annual rate, and t is the number of years.
__
Here, we have ...
(100 -99.44) = 99.44·r·(180/365) . . . . held for a fraction of a year
0.56×365/(99.44×180) = r ≈ 0.0114195 ≈ 1.14% . . . . divide by the coefficient of r
Your return would be about 1.14%.
Simply the given expressions below.
a) 4x + 8 - 2x + 7
b) 2n ×5 ×2a
please answer it and clear..give them brainlest answer
Step-by-step explanation:
a) 4x + 8 - 2x + 7
= 2x +15
b) 2n × 5 × 2a
= 10n × 2a
= 20an
Answer:
a) 2x+15
B) n =(2-√44)/4=(1-√ 11 )/2= -1.158 or
n =(2+√44)/4=(1+√ 11 )/2= 2.158
Step-by-step explanation:
a.4x+8-2x+7
4x+15-2x
=2x+15
Find the product of 3.6 and 0.003
Answer:
0.0108
Step-by-step explanation:
3.6 multiplied by 0.003
1. First you write down the numbers one on top of the other
0.003
x 3.6
-----------
2. Multiply 6 by all the numbers in 0.003
0.003
x 3.6
-----------
0018
3. Multiply 3 by all the numbers in 0.003. But because "3" is followed by a number you leave a blank or a zero in the ones place
0.003
x 3.6
---------------
0018
+ 00090
---------------
4. Add the numbers you got
0.003
x 3.6
---------------
0018
+ 00090
---------------
00108
5. Count the number of decimal points or numbers after the decimal point in both numbers and add them
3.6 = one decimal place
0.003= three decimal places
Three plus one = four
6. Count the total number of decimal places
0010.8 = one decimal place
001.08 = two decimal places
00.108 = three decimal places
0.0108 = four decimal places
I would really appreciate the help on this please
Answer:
[tex]{x}^{3} + 2x ^{2} - 6x + 45[/tex]
Step-by-step explanation:
sorry I didn't write it out...
