Answer:
70
Step-by-step explanation:
15. You have $200 in a savings account. Each week for 8 weeks, you take
out $18 for spending money. How much money is in your account at
the end of 8 weeks?
Answer:
$66
Step-by-step explanation:
T=200-18W
where W is number of weeks
T=200-18(8)
T=200-144
T=66
(Pythagorean Theorem, Right Angle) for 100 POINTS!
(Will even give Branliest for this easy work)
Are these answers correct?
Step-by-step explanation:
there is nothing missing. this is a complete proof.
yes, the various steps are correct.
The heaviest freshwater fish caught in region A weighs 286 lb, and the heaviest freshwater fish caught in region B
weighs 614 lb. How much does each weigh in kilograms?
A. The fish from region A weighs about _______ in kg.
(Round to the nearest whole number.)
B. The fish from region B weighs about _______ in kg.
(Round to the nearest whole number.)
Answer:
A. To convert pounds to kilograms, we need to multiply by 0.453592. Therefore, the fish from region A weighs about 130 kg (286 x 0.453592), rounded to the nearest whole number.
B. Similarly, the fish from region B weighs about 279 kg (614 x 0.453592), rounded to the nearest whole number.
x⁵+x³-5 is divided by x-2
The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:
1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).
x - 2 | x⁵ + x³ + 0x² + 0x - 5
2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
4. Bring down the next term (-5) from the dividend.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
7. Repeat steps 4-6 until you have subtracted all terms.
x⁴ + 3x³ + 6x² + 12x + 24
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
- (6x³ - 12x²)
12x² + 0x + 0
- (12x² - 24x)
24x + 0
- (24x - 48)
48
8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
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There are three dials on a combination lock. Each dial can be set to one of the numbers 1, 2, 3, 4, 5 The three digit number 514 is one way the dials can be set as shown in the diagram.
a) Work out the number of different three digit numbers that can be set for the combination lock.
b) How many of the possible three digit numbers have three different digits?
Answer:
a) 125 different numbers
b) 60 numbers with different digits
Step-by-step explanation:
You want to know the number of different combinations you can have with three dials, each having numbers 1–5, and you want to know the number of combinations with three different digits.
a) CombinationsAny of the three dials may be set to any of the five digits, so there are ...
5 × 5 × 5 = 125
possible three digit combinations.
The number of different 3-digit numbers is 125.
b) Different digitsIf the digits are to be different, there can be 5 different first digits, 4 different second digits, and 3 different 3rd digits, for a total of ...
5 × 4 × 3 = 60
possible combinations with different digits.
The number of 3-digit numbers with different digits is 60.
<95141404393>
9. Which type of angle pairs are LSM and 2
10. Which angle forms a vertical pair with 1?
\( \large \mathfrak{Answer : }\)
9. Angle LSM and Angle 2 are pair of vertical opposite angles which are equal.
10. Angle forming vertical pair with Angle 1 is Angle LSO (Angle 3).
PLEASE ANSWER THIS Below is data from the Earth Policy Institute showing the top 10 countries’ fossil-fuel carbon dioxide (CO2) emissions during 2012. Calculate the per capita emissions for each country. Fill your answers in the table below. (round to the hundredths place)
The per capita emissions for each country is:
China 6.46United States 16.25India 1.77Russia 11.48Japan 9.68Germany 9.10Iran 7.58South Korea 11.47Indonesia 2.25Canada: 15.02How to find Per capita emissions?Using this formula to find the Per capita emissions for each country
Per capita emissions = C02 Emission (tons of carbon dioxide ) / Total emissions by population
China
Per capita emissions =8,782,000,000/1,359,750,000
Per capita emissions = 6.46
United States
Per capita emissions =5,144,000,000/316,597,000
Per capita emissions= 16.25
India
Per capita emissions = 2,185,000,000 /1,233,460,000
Per capita emissions = 1.77
Russia
Per capita emissions=1,646,000,000/143,400,000
Per capita emissions = 11.48
Japan
Per capita emissions = 1,232,000,000/127,310,000
Per capita emissions = 9.68
Germany
Per capita emissions = 733,000,000/80,523,700
Per capita emissions = 9.10
Iran
Per capita emissions = 583,000,000/76,876,000
Per capita emissions = 7.58
South Korea
Per capita emissions = 576,000,000/50,219,669
Per capita emissions = 11.47
Indonesia
Per capita emissions = 535,000,000/237,641,326
Per capita emissions = 2.25
Canada
Per capita emissions = 528,000,000/35,141,542
Per capita emissions =15.02
Therefore China per capita emissions is 6.46.
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Perform the indicated operation:
(4 + 2i) (1 + 5i)
-6 +22i
6-221
-14 + 18i
6+22i
Answer:
-235+84i
Step-by-step explanation:
I hope this is what you were looking for.
Graph a triangle ABC and perform a translation of (x + 4, y - 3) to create triangle A'B'C'.
1. Describe the transformation using words. Make sure you refer to the characteristics
and the coordinates.
2. Draw a line through points A and A' and through points B and B'. What do you
notice about the lines you drew? Do you think you would notice the same
characteristics if you drew another line through points C and C'? How do you know?
1. The translation was of 4 units right and 3 units down.
2. All the blue lines connecting the equivalent vertices will have a slope of -3/4.
What is the translation?
The translations of the triangle is given by the rule presented as follows:
(x,y) -> (x + 4, y - 3).
Hence the meaning of each of these translations is given as follows:
x -> x + 4 is a translation of four units right.y -> y - 3 is a translation of three units down.The coordinates of the original vertices are given as follows:
(0,0), (0,4), (3,0).
Then the coordinates of the translated vertices are given as follows:
(4,-3), (4,1), (7,-3).
For a linear function, the slope is given by the vertical change divided by the horizontal change.
From these translations, the changes are given as follows:
Vertical change of 3 units down, hence of -3.Horizontal change of 4 units right, hence of +4.Thus the slope of the linear function connecting the original vertices are given as follows:
m = -3/4.
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50 points!!! Please Help!!! Will give Brainliest!!!
THAT IS not 50 points, that is just 25 points
Answer:
okay but i dont see the problem
Step-by-step explanation:
pls help. I've been stuck on this question and I just cannot find the answer. Pls help
Answer:
(g+f)(x/4) = x^2/16 + 3x/4
Step-by-step explanation:
To find (g+f)(x/4), we must first find the expressions for g(x) and f(x) and then add them together.
g(x) = x^2 + 4
f(x) = 3x - 4
So (g+f)(x) = g(x) + f(x) = x^2 + 4 + 3x - 4 = x^2 + 3x + 0
Now we can substitute x/4 for x in the expression:
(g+f)(x/4) = (x/4)^2 + 3(x/4) + 0
Multiplying it out
(g+f)(x/4) = (x^2/16) + (3x/4) + 0
so (g+f)(x/4) = x^2/16 + 3x/4
Parabolas in geometry. i need help please
Answer:
OPtion B
Step by step explanation:
Lets plug in a random value for x.
Lets say 5 is x
-8(-5-5)=(y+1)^2
5-5 = 0
-8(0) = 0
0 = (y+1)^2
Square root of both sides
0 = y+1
subtract one from both sides
-1 = y
that means the x is 5 and the y is -1. Option B illustrates exactly that!
Evaluate the expression for s = 10, t = –2, and u = 9.
t2u + s = ?
Answer:
46
Step-by-step explanation:
You want to evaluate the expression t²u+s for t=-2, u=9, s=10.
Evaluating an expressionPut the numbers in the places of the corresponding variables, and do the arithmetic.
(-2)²·9 +10 = 4·9 +10 = 36 +10 = 46
The value of the expression is 46.
The cafeteria lunch menu lists:
Pizza Cheese, Sausage, Pepperoni
Dessert - Pudding or Cookie
Drink-Water, Milk, Soda
How many different lunch meals can you construct from these choices?
O 18
O
O 81
03
Answer: 18
Step-by-step explanation:
Multiply number of each item possible
3*2*3=18
What would the circumference of a circle be with a diameter of 15 cm? Use 3.14 for pi.
Answer:
47.1cm²
Step-by-step explanation:
diameter=15cm
circumference of circle= d×3.14
circumference=15×3.14
circumference=47.1
Use geometry to evaluate
Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!
15% OFF!
Gabe wants to buy a dog collar. The sale price is $3.91. What was the original price?
$
the original price was really "x", which oddly enough is the 100%, but today the collar is on sale at 15% off, that means the sale price is 100% - 15% = 85% of the original price, and we happen to know that's $3.91, so
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} x & 100\\ 3.91& 85 \end{array} \implies \cfrac{x}{3.91}~~=~~\cfrac{100}{85} \\\\\\ \cfrac{x}{3.91} ~~=~~ \cfrac{20}{17}\implies 17x=78.2\implies x=\cfrac{78.2}{17}\implies x=4.6\)
The accompanying data set consists of observations on shower-flow rate (L/min) for a sample of n = 129 houses:
4.6 12.1 7.1 7.0 4.0 9.2 6.7 6.9 11.5 5.1
11.2 10.5 14.3 8.0 8.8 6.4 5.1 5.6 9.6 7.5
7.5 6.2 5.8 2.8 3.4 10.4 9.8 6.6 3.7 6.4
8.3 6.5 7.6 9.3 9.2 7.3 5.0 6.3 13.9 6.2
5.4 4.8 7.5 6.0 6.9 10.8 7.5 6.6 5.0 3.3
7.6 3.9 11.9 2.2 15.0 7.2 6.1 15.3 18.3 7.2
5.4 5.5 4.3 9.0 12.7 11.3 7.4 5.0 3.5 8.2
8.4 7.3 10.3 11.9 6.0 5.6 9.5 9.3 10.4 9.7
5.1 6.7 10.2 6.2 8.4 7.0 4.8 5.6 10.5 14.6
10.8 15.5 7.5 6.4 3.4 5.5 6.6 5.9 15.0 9.6
7.8 7.0 6.9 4.1 3.6 11.9 3.7 5.7 6.8 11.3
9.3 9.6 10.4 9.3 6.9 9.8 9.1 10.6 4.5 6.2
8.3 3.1 4.9 5.0 6.0 8.2 6.3 3.8 6.0 (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)
Stems Leaves
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 (b) What is a typical, or representative, flow rate?
L/min
(c) Does the display appear to be highly concentrated or spread out?
highly concentrated, except for a few values on the positive sidehighly concentrated in the middle highly concentrated, except for a few values on the negative sidespread out
(d) Does the distribution of values appear to be reasonably symmetric? If not, how would you describe the departure from symmetry?
Yes, the distribution appears to be reasonably symmetric.No, the data are skewed to the right, or positively skewed. No, the data are skewed to the left, or negatively skewed.No, the distribution of the values appears to be bimodal.
(e) Would you describe any observation as being far from the rest of the data (an outlier)?
Yes, the value 2.2 appears to be an outlier.Yes, the value 15.5 appears to be an outlier. Yes, the value 18.3 appears to be an outlier.No, none of the observations appear to be an outlier.
a ) Construction of stem and leaf display of the data is:
For n = 129 and with splint unit = 0.1, the stem and splint map of the given data on Shower- inflow rate( L/ min) is as follows
a stem-and-leaf display of the data.
Stems Leaves
2 28
3 1344567789
4 01356889
5 00001114455666789
6 0000122223344456667789999
7 00012233455555668
8 02233448
9 012233335666788
10 2344455688
11 2335999
12 17
13 9
14 36
15 0035
16 None
17 None
18 3
b) From brume and splint map we note that minimal Shower inflow rate is2.2 whereas outside is18.3 L/ mim. farther typical or representative rate is7.0 L/min.
c) The display of data on steam and leaf chart shows that data is positively skewed means concentration of data on left side or lower value side is high as compared to other side.
d) Distribution is not symmetric rather very clear positive skew ness is observed through steam and leaf chart. Even distribution is Unimodal.
e) From steam and leaf chart is indicative to conclude that the highest observation 18.3 is outlier.
A stem and splint plot, also known as a stem and splint illustration, is a way to arrange data so that it's simple to see how constantly colorful feathers of values do. It's a graph that displays ordered numerical data. A stem and a splint are divided into each piece of data.
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Complete question:
The accompanying data set consists of observations on shower-flow rate (L/min) for a sample of n = 129 houses:
4.6 12.1 7.1 7.0 4.0 9.2 6.7 6.9 11.5 5.1
11.2 10.5 14.3 8.0 8.8 6.4 5.1 5.6 9.6 7.5
7.5 6.2 5.8 2.8 3.4 10.4 9.8 6.6 3.7 6.4
8.3 6.5 7.6 9.3 9.2 7.3 5.0 6.3 13.9 6.2
5.4 4.8 7.5 6.0 6.9 10.8 7.5 6.6 5.0 3.3
7.6 3.9 11.9 2.2 15.0 7.2 6.1 15.3 18.3 7.2
5.4 5.5 4.3 9.0 12.7 11.3 7.4 5.0 3.5 8.2
8.4 7.3 10.3 11.9 6.0 5.6 9.5 9.3 10.4 9.7
5.1 6.7 10.2 6.2 8.4 7.0 4.8 5.6 10.5 14.6
10.8 15.5 7.5 6.4 3.4 5.5 6.6 5.9 15.0 9.6
7.8 7.0 6.9 4.1 3.6 11.9 3.7 5.7 6.8 11.3
9.3 9.6 10.4 9.3 6.9 9.8 9.1 10.6 4.5 6.2
8.3 3.1 4.9 5.0 6.0 8.2 6.3 3.8 6.0
(a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)
Stems Leaves
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
(b) What is a typical, or representative, flow rate?
L/min
(c) Does the display appear to be highly concentrated or spread out?
highly concentrated, except for a few values on the positive sidehighly concentrated in the middle highly concentrated, except for a few values on the negative sidespread out
(d) Does the distribution of values appear to be reasonably symmetric? If not, how would you describe the departure from symmetry?
Yes, the distribution appears to be reasonably symmetric.No, the data are skewed to the right, or positively skewed. No, the data are skewed to the left, or negatively skewed.No, the distribution of the values appears to be bimodal.
(e) Would you describe any observation as being far from the rest of the data (an outlier)?
Yes, the value 2.2 appears to be an outlier.Yes, the value 15.5 appears to be an outlier. Yes, the value 18.3 appears to be an outlier.No, none of the observations appear to be an outlier.
The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
900 employees had put their names in a lucky draw. When the lucky numbers were drawn. The first draw eliminated 20% of the people, the second draw eliminated 30% of the remaining people and the third draw eliminated exactly one third of the remaining people. How many people were eliminated in the third draw?
Answer: in the third draw 33.33% people eliminated.
Step-by-step explanation:
Malingo read 3/8 of a book on Friday, 1/4 on Saturday and the rest on Sunday. what fraction did he read on Sunday?
Answer:
3/8
Step-by-step explanation:
We can write the entire book with the number 1. Now we can write this operation
3/8 + 1/4 + x = 1
3 + 2 + 8x = 8
5 + 8x = 8
8x = 3
x = 3/8
What is 0.09% written as a decimal?
A. 0.9
B. 0.009
C. 0.0009
D. 0.09
Answer:
C. 0.0009
Step-by-step explanation:
0.09/100
= 0.0009
Answer:A
Step-by-step explanation:0.09=0.9
y
is inversely proportional to
x
.
When
y
=
30
,
x
=
4
Work out
x
when
y
=
20
Step-by-step explanation:
I think it might be enough to help you.
I need help in this task pls, says locate the following decimal numbers on the line...the one who helps me I give him points, about 70 points
Answer:
Listen to the explanation
Step-by-step explanation:
Each dash on the line represents .10 so for the first one where it says .28 it should be about-
|-----|-----|---●-|-----|-----|-----|-----|-----|-----|-----|
0. .10. .20 .30 40 .50. .60 .70 .80 .90 1.0
Do you get what I mean? Haha
Answer:
Assuming that the line goes from zero to one.
Combine like terms to create an equivalent expression: 6.7+3.5x+3.3-4.7x
Step-by-step explanation:
....djdjbeoehehoeebdnskeje
If the equation of a line is 4x + 4y = 1 and equation of a second line is x + y = -8 which of the following is true
Answer:
Step-by-step explanation:
Two lines are perpendicular. The equation of the first line is y = 4x + 1. Which of the following cannot be the equation of the second line? A. y = -1/4x -2 B. x - 4y = -2 C. x + 4y = 2 D. 8y = -2x - 5
What is the simplified expression for x-(x+7)
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
A machine produces 225 bolts in 24 minutes. At the same rate, how many bolts would be produced in 40 minutes?
Answer: 375 bolts
Step-by-step explanation:
Just do 225*(40/24)
Question 5 (Essay Worth 10 points)
(01.03 MC)
Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.
Answer:
x = 4
Step-by-step explanation:
Given:
\(\sqrt{11x+5}=7\)
Square both sides:
\(\implies \left(\sqrt{11x+5}\right)^2=7^2\)
\(\implies 11x+5=49\)
Subtract 5 from both sides:
\(\implies 11x+5-5=49-5\)
\(\implies 11x=44\)
Divide both sides by 11:
\(\implies 11x \div 11=44 \div 11\)
\(\implies x=4\)
Answer:
x = 4
Explanation:
\(\sf \rightarrow \sqrt{11x+ 5} = 7\)
square both sides
\(\sf \rightarrow 11x+ 5 = 7^2\)
simplify the following
\(\sf \rightarrow 11x+ 5 = 49\)
subtract 5 from both sides
\(\sf \rightarrow 11x+ 5 -5 = 49-5\)
simplify the following
\(\sf \rightarrow 11x = 44\)
divide both sides by 11
\(\sf \rightarrow \dfrac{ 11x}{11} = \dfrac{44}{11}\)
simplify the following
\(\sf \rightarrow x=4\)
Check for Solution:
\(\sf \rightarrow \sqrt{11(4)+ 5} = 7\)
\(\sf \rightarrow \sqrt{44+ 5} = 7\)
\(\sf \rightarrow \sqrt{49} = 7\)
\(\sf \rightarrow 7 = 7\)
Hence proved the answer as L.H.S = R.H.S.