Answer: 2.13
Step-by-step explanation:
Plug x (1.5) into the equation.
e^(1.5) - e^(-1.5)
Then, divide by 2.
Your answer will be 2.129 and then round to 2.13.
Answer:
2.13
Step-by-step explanation:
Which of the following explains the relationship between angles a and b? Lines JK and JM intersect at point J, creating four angles identified as angle B, angle D, angle C, and angle a clockwise from the top right. Adjacent angles, corresponding notes, Complementary angles or vertival angles
The answer is Adjacent angles.
Answer:
The answer is A: Adjacent angles.
Step-by-step explanation:
I know this cause I'm taking the test.
A salesman gets a basic wage of £160 per week plus a commision of 30% of the sales he makes that week. In one week his total wage was £640 Work out the value of the sales he made that week.
Answer:
£1600.
Step-by-step explanation:
The commission he earns in the week = 640 - 160 = £480.
This 480 is 30 percent or 0.30 of the value of his sales, so
the value of his sales = 480 / 0.30
= £1600.
What is the equation of the graph below?
Answer:
A
Step-by-step explanation:
if AE=4 how long is the corresponding distance in the second figure?
Seeting up a porportion gives us,
[tex]\frac{15}{6}= \frac{x}{4}[/tex]
60=6x
10=x
HL=10
Graph y = 3/5 x - 4.
Then, translate it up 5 units.
Write the equation of the resulting line.
Answer:
y=3/5x + 1
Step-by-step explanation:
It says to translate UP 5 units, meaning the constant of -4 is the one being affected. The translation of 5 units is +5 on the graph, so -4+5=1. Everything else should be the same if i'm correct so y=3/5x + 1 is the answer
Seven times the quantity of a number increased by four
Answer:
7x + 4
Step-by-step explanation:
You just need to read the question carefully
Jenny says the formula for finding the area of a triangle is . Chris says the formula for finding the area of a triangle is . Who is correct?
Answer:
A= (1/2)b*hStep-by-step explanation:
The question is incomplete, the question does not state the claims of both Jenny and Chris.
though we can still move on to answer as the area of a triangle is expressed as
Area= half base time hight (pronounced)
and stated mathematically as
A= (1/2)b*h
the ideal of the area of a triangle is taken from the area of the rectangle divided into two from the diagonal to form two triangles
the area of a rectangle (shown in the attachment ) = b*h
now since the rectangle consists of two half triangle,
one triangle will have its area to be half the area of the rectangle
hence
area of the rectangle = (1/2)b*h
kindly find the attachment for your reference
The contagent of 180/3,180/4,180/6 is
Answer:
easy
Step-by-step explanation:
1+2=92
Consider the figure above. Starting with the shape in the upper left, identify the figure that has been: -Translated only. -Rotated and translated. -Reflected about the x-axis.
Answers:
Figure a has been translated only (translated 9 units to the right)
Figure b has been reflected over the x axis
Figure c has been rotated and translated
=======================================
Explanation:
Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.
Figure b is a result of reflecting over the x axis. The rule used is [tex](x,y) \to (x,-y)[/tex]. The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)
Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.
The figure which is rotated and translated correctly about the x-axis is figure a.
What is graph?The graph of a function f is that the set of ordered pairs, where\f(x)=y. within the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
How to form graph of function?We have been given four graphs of a function and first function has coordinates (-5,7) (-2,6) (-7,4) (-4,1) and that we must identify correct reflected graph.
The coordinates of a pure reflected graph are going to be (4,7) (2,4) (5,1) (7,6) which are the coordinates of figure a which is in first quadrant.
Hence the proper reflected graph of function having coordinates (-5,7) (-2,6) (-7,4) (-4,1) is that the graph of coordinates (4,7) (2,4) (5,1) (7,6).
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PLEASE HELP!! I worked it out and haven’t found the right answer
Answer:
option B is correct. Once have a look to this solution that I have answered
how to solve 4/3 + 5/4
Answer:
Step-by-step explanation:
First, you need to get a common denominator.
You can do this by multiplying each fraction by 3 or 4.
See,
4/3 * 4/4=16/12
5/4 * 3/3=15/12
16+15=31
31/12
Answer:
2(7/12)
Step-by-step explanation:
First, try to match the denominators.
4/3+5/4
To match the denominators, multiply them with each other.If the denominator multiplys with each other, the numerator also have to multiply too.
=[tex]\frac{(4*4)}{(3*4)} +\frac{(5*3)}{(4*3)}[/tex]
= [tex]\frac{16}{12} +\frac{15}{12}[/tex]
= [tex]\frac{16+15}{12}[/tex]
= [tex]\frac{31}{12}[/tex] (If you want it as a improper fraction, you can stop here)But normally we continue till we get a mixed number if we get a improper fraction.
So 31/12 equals to 2(7/12) as a mixed number
A rectangular swimming pool measures 50 meters in length and 25 meters in width. Using a scale of 1 centimeter represents 5 meters.
What is the width of your scale drawing if the length is 10cm?
Answer:
Width is 5 cm
Step-by-step explanation:
Since we know that the width is 25 meters, and the scale we are using is 5 meters = 1 cm, we can divide 25 by 5 to find the scaled measurement.
25/5 = 5cm
I hope this helps!
-TheBusinessMan
Eddie Foster packs and seals pens at rate of $0.235 per pack. At the end of his eight-hour
shift, Foster has packed and sealed 480 packs of pens. How much did he earn?
Answer:
$112.80
Step-by-step explanation:
If he earns $0.235 per pack, and there are 480 packs, then our equation is:
0.235 x 480 = $112.80
The amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
What is unitary method?
The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.
According to the given question.
Amount of money charged by Eddie for packing and sealing a pack of pens = $0.235
Therefore,
The amount of money charged by Eddie for packing and sealing packs of 480 pens
= 480 × $0.235
= $112.8
Hence, the amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
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Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet. Which statement about the amount of the tiles is correct?
This question is not complete
Complete Question
Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet. Which statement about the amount of tiles is correct?
a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.
b) Kerrie estimated correctly by rounding up. She has enough tile. The exact area is 104.5 square feet.
c) Kerrie did not estimate correctly by rounding up. She does not have enough tile. The exact area is 104.5 square feet.
d) Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.
Answer:
a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.
Step-by-step explanation:
In mathematics we have what is defined as rounding up and rounding down.
Rounding up of numbers is when the number you want to round up is followed by number from 5 to 9(5, 6, 7, 8, 9)
E.g. 2.5 rounded up to the nearest whole number = 3
Rounding down of numbers is when the number you want to round up is followed by number from 1 to 4(1, 2, 3, 4)
E.g. 2.4 rounded down = 2
We are told in the question
Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet.
Kitchen floor is rectangular = Area = Length × Width
= 11.3 × 9.25 feet
= 104.525 square feet
We are told that Kerrie ordered for 99 square tiles.
But looking at the decimal, the number after the decimal are between 1 and 4.
Hence, she would be rounding down.
If Kerrie rounds down to the nearest whole number
11.3 feet = 11 feet
9.25 feet = 9 feet
Finding the area = 11 feet × 9 feet
= 99 square feet
Therefore, the correct statement = option a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.
Answer:
104.05
Step-by-step explanation:
Lille has a bag of chips to share with her friends. The bag contains 89 chips, and lille wants to share with 6 people including herself. She plans to give the leftovers to her sister. How many chips will her sister get?
======================================
Explanation:
Use your calculator to find that 89/6 = 14.8333 approximately
The whole part 14 means each of the six people get 14 chips
That means 6*14 = 84 chips have been eaten so far, leaving 89-84 = 5 chips left over for her sister.
----------
In other words,
89/6 = 14 remainder 5
which can be found through long division as shown below
PT=4x+3 and TQ=8x-9 Find the value of PT
Step-by-step explanation:
4x+3+8x-9+y=180
Andrew went to the store with $200.00. He bought 2 pair of shorts for $25.00 each, he bought 3 shirts for $22.00 each, and he bought a pair of jeans for $25. How much money did he have left? Choose the correct solution.
Answer:
the answer is 59
Step-by-step explanation:
25×2=50
3×22=66
50+66=116
then you add 25 to 116=141
200-141=59
so he had left 59 dollars at the end
help please!!! AHAHSBHSBDR
Answer:
a = 8/29 thus: Step 1 is wrong!
Step-by-step explanation:
Solve for a:
8 - a/2 = 3 (4 - 5 a)
Hint: | Put the fractions in 8 - a/2 over a common denominator.
Put each term in 8 - a/2 over the common denominator 2: 8 - a/2 = 16/2 - a/2:
16/2 - a/2 = 3 (4 - 5 a)
Hint: | Combine 16/2 - a/2 into a single fraction.
16/2 - a/2 = (16 - a)/2:
(16 - a)/2 = 3 (4 - 5 a)
Hint: | Make (16 - a)/2 = 3 (4 - 5 a) simpler by multiplying both sides by a constant.
Multiply both sides by 2:
(2 (16 - a))/2 = 2×3 (4 - 5 a)
Hint: | Cancel common terms in the numerator and denominator of (2 (16 - a))/2.
(2 (16 - a))/2 = 2/2×(16 - a) = 16 - a:
16 - a = 2×3 (4 - 5 a)
Hint: | Multiply 2 and 3 together.
2×3 = 6:
16 - a = 6 (4 - 5 a)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
16 - a = 24 - 30 a
Hint: | Move terms with a to the left hand side.
Add 30 a to both sides:
30 a - a + 16 = (30 a - 30 a) + 24
Hint: | Look for the difference of two identical terms.
30 a - 30 a = 0:
30 a - a + 16 = 24
Hint: | Group like terms in 30 a - a + 16.
Grouping like terms, 30 a - a + 16 = (-a + 30 a) + 16:
(-a + 30 a) + 16 = 24
Hint: | Combine like terms in 30 a - a.
30 a - a = 29 a:
29 a + 16 = 24
Hint: | Isolate terms with a to the left hand side.
Subtract 16 from both sides:
29 a + (16 - 16) = 24 - 16
Hint: | Look for the difference of two identical terms.
16 - 16 = 0:
29 a = 24 - 16
Hint: | Evaluate 24 - 16.
24 - 16 = 8:
29 a = 8
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 29 a = 8 by 29:
(29 a)/29 = 8/29
Hint: | Any nonzero number divided by itself is one.
29/29 = 1:
Answer: a = 8/29
What is the value of y in the equation 3(3y - 15) = 0? (1 point)
Answer:
y = 5
Step-by-step explanation:
Mae has $189 in her account. A $7 fee is charged each month the balance is below $750.She withdraw $315. If she makes no deposits or withdraws for the next x months express her balance algebraically
Answer:
$189 - $315 - $7x
Step-by-step explanation:
Given the following :
Amount in Mae's account = $189
Each month balance is below $750;
Amount charged = $7
She withdrew $315 from her account and makes no deposit or withdrawal for the next x months
Her balance :
Initial amount = $189
Withdrawal made = $315
Amount charged when balance falls below $750 = fee * number of months = 7 * x = 7x
Hence, her balance after x months will be :
$189 - $315 - $7x
The balance of Mae expressed algebraically will be 189 - 315 - 7x.
The following can be deduced from the question:
Amount in Mae's account = $189Each month balance is below $750Amount charged = $7Therefore, the amount that is left in her account balance will be:
= 189 - 315 - (7 × x)
= 189 - 315 - 7x
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What is the value of the expression below when w=2w=2? 8w+10
Answer:
The answer is 26.
Step-by-step explanation:
When you place the 2 next to the 8 you have to multiply it and then add the 10 to get the answer for the equation which is 26. Put it all in the calculator will be easier by putting it like this 8*2+10.
I hope this helps!
Answer:
Step-by-step explanation:
8w^2 +8w+9
8w
2
+8w+9
\color{dodgerblue}{w}=\color{dodgerblue}{2}
w=2
Given
8(\color{dodgerblue}{2})^2 +8(\color{dodgerblue}{2})+9
8(2)
2
+8(2)+9
Substitute \color{dodgerblue}{2}2 for \color{dodgerblue}{w}w
8(4) +8(\color{dodgerblue}{2})+9
8(4)+8(2)+9
Deal with exponent
32 +8(\color{dodgerblue}{2})+9
32+8(2)+9
Multiply
32 +16+9
32+16+9
Multiply
57
57
Add
Your Solution:
57
57
1. Find mZU
S
70°
T23.x-5
R110°
14x
C. 110°
A. 70°
B. 90°
D. 1300
How did the function move from the f(x)=|x| to f(x)=|x+2|
Answer:
Step-by-step explanation:
It shifted to the left 2 units
what is 30 + 8h = 50 + 6h
Answer:
h=10
Step-by-step explanation:
30 + 8h = 50 + 6h
8h-6h=50-30
2h=20
h=10
Answer:
Answer:
h=10
Step-by-step explanation:
Step-by-step explanation:
30 + 8h = 50 + 6h
8h-6h=50-30
2h=20
h=10
3.2.31
The weight of an organ in adult males has a bell-shaped distribution with a mean of 320 grams and a standard deviation of 20 grams. Us
(a) About 68% of organs will be between what weights?
(b) What percentage of organs weighs between 280 grams and 360 grams?
(c) What percentage of organs weighs less than 280 grams or more than 360 grams?
(d) What percentage of organs weighs between 300 grams and 360 grams?
This question is incomplete
Complete Question
The weight of an organ in adult males has a bell shaped distribution with a mean of 320 grams and a standard deviation of 20 grams. Use the empirical rule to determine the following. A.) About 68% of organs will be between what weights? B.) what percentage of organs weighs between 280 grams and 360 grams? C.) what percentage of organs weighs less than 280 grams or more than 360 grams? D.) what percentage of organs weighs between 300 grams and 360 grams?
Answer:
A.) About 68% of organs will be between what weights?
Therefore, 68% of the organs will weigh between 300 and 340 grams.
B.) what percentage of organs weighs between 280 grams and 360 grams?
95%
C.) what percentage of organs weighs less than 280 grams or more than 360 grams?
5%
D.) what percentage of organs weighs between 300 grams and 360 grams?
81.5%
Step-by-step explanation:
Empirical formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Where:
μ = Population mean
σ = Population standard deviation
From the above question, we have the following information
Mean weight = 320 grams
Standard deviation = 20 grams
a) About 68% of organs weight between:
To solve for this, we would use the empirical rule:
68% of the data values lie within 1 standard deviation of the mean
Hence, 68% of the data values lie in the range:
Mean - 1 standard deviation to Mean + 1 Standard Deviation.
Mean - 1 Standard Deviation
μ - σ
= 320grams - 20grams = 300 grams
Mean + 1 Standard Deviation
μ + σ
= 320grams + 20grams = 340 grams
Therefore, 68% of the organs will weigh between 300 and 340 grams.
B.) what percentage of organs weighs between 280 grams and 360 grams?
Mean weight = 320 grams
Standard deviation = 20 grams
Hence,
x - mean = 280 grams - 320 grams = -40 grams
x - mean = 360 grams - 320 grams = 40 grams
Note that both differences = 2 × standard deviation
Hence, from the empirical formula above,
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies
Therefore, 95% of the organs fall between 280 grams and 320 grams
C.) what percentage of organs weighs less than 280 grams or more than 360 grams?
Mean weight = 320 grams
Standard deviation = 20 grams
Hence,
x - mean = 280 grams - 320 grams = -40 grams
x - mean = 360 grams - 320 grams = 40 grams
So, from the empirical formula above,
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies
Therefore, 95% of the organs fall between 280 grams and 320 grams
It is important to note that finding the percentage of data that weighs less than or more than the given range of values, the formula is given as:
Percentage of Value outside( less than or more than) the range = 100% - Percentage of values within the range
100% - 95%
= 5%
Therefore, the percentage of organs weighs less than 280 grams or more than 360 grams is 5%
D.) what percentage of organs weighs between 300 grams and 360 grams?
Mean weight = 320 grams
Standard deviation = 20 grams
Hence,
x - mean = 300 grams - 320 grams = -20 grams
20 grams = 1 × standard deviation
For 300 grams, the empirical formula that states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ applies.
It is important to note that the percentage of values below the mean and above the mean must be the same.
But since this is a bell shaped distribution, the percentage of data between 300 and 320 grams = 68%/2
= 34%
x - mean = 360 grams - 320 grams = 40 grams
40 = 2 × standard deviation
For 360 grams , the empirical formula that states that,
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies
It is important to note that the percentage of values below the mean and above the mean must be the same.
Since this is a bell shaped distribution, the percentage between 320 and 360grams = 95%/2
= 47.5%
Therefore, the percentage of organs that weighs between 300 grams - 360 grams = 34% + 47.5%
= 81.5%
Please help me solve 2z+4a=6
Step-by-step explanation:
z = 3-2a
a = 3/2 - 0.5z
...........................
Answer: I dont know which to slove for so im going to put both :)
Step-by-step explanation:
SOLVING FOR Z:
Subtract 4 a from both sides of the equation.
2 z = 6 − 4 a
Divide each term by 2
and simplify. z = 3 − 2 a
SOLVING FOR A:
Subtract a from both sides of the equation
2z=6-4a
Divide each term by 2 then simplify
z=3-2a
india experienced a golden age under the gupta empire. which statement describes this period?
Point
A
Astart color #6495ed, A, end color #6495ed is at
(
3
,
4
)
(3,4)start color #6495ed, left parenthesis, 3, comma, 4, right parenthesis, end color #6495ed and point
M
Mstart color #9d38bd, M, end color #9d38bd is at
(
5.5
,
0
)
(5.5,0)start color #9d38bd, left parenthesis, 5, point, 5, comma, 0, right parenthesis, end color #9d38bd.
Point
M
Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point
A
Astart color #6495ed, A, end color #6495ed and point
B
Bstart color #28ae7b, B, end color #28ae7b.
Your question is poorly formatted; However, the correct question is:
Point A ( 3 , 4 ) and point M (5.5,0) is the midpoint of point A and point B. Determine the coordinates of B
Answer:
The coordinates of B is (8,-4)
Step-by-step explanation:
Given
Point A ( 3 , 4 )
Point M (5.5,0)
Required
Determine B
Since, M is the midpoint;
We'll solve this question using the following formula;
[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
Where [tex](x,y) = (5.5,0)[/tex] and [tex](x_1,y_1) = (3,4)[/tex]
Substitute values for x, y, x1 and y1 in the above formula;
This gives
[tex](5.5,0) = (\frac{3 + x_2}{2},\frac{4 + y_2}{2})[/tex]
By direct comparison, we have
[tex]5.5 = \frac{3 + x_2}{2}[/tex] and [tex]0 = \frac{4 + y_2}{2}[/tex]
Solving [tex]5.5 = \frac{3 + x_2}{2}[/tex]
Multiply both sides by 2
[tex]11 = 3 +x_2[/tex]
Subtract 3 from both sides
[tex]11- 3 = x_2[/tex]
[tex]x_2 = 8[/tex]
Solving [tex]0 = \frac{4 + y_2}{2}[/tex]
Multiply both sides by 2
[tex]0 = 4 + y_2[/tex]
Subtract 4 from both sides
[tex]0 - 4 = y_2[/tex]
[tex]y_2 = -4[/tex]
Hence;
The coordinates of B is (8,-4)
Answer:
(8,-4)
I think it's right
Felix reported that the coldest day on record for his town was five times colder than yesterday, -4 c . What is the temperature of the coldest day on Felix town
Answer:
Coldest day on record = -20°C
Step-by-step explanation:
Given:
Yesterday temperature = -4°C
Coldest day on record = 5 times than yesterday
Find:
Coldest day on record
Computation:
Coldest day on record = 5 × Yesterday temperature
Coldest day on record = 5 × (-4)
Coldest day on record = -20°C
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m AB =64° and ABC=73° , mACB=.......° and mAC=....°
Inscribed angles are formed when two chords have 1 common endpoint. The measure of [tex]\angle ACB[/tex] and [tex]\overset{\huge\frown}{AC}[/tex] are:
[tex]\angle ACB = 32^o[/tex]
[tex]\overset{\huge\frown}{AC} = 146^o[/tex]
Given that:
[tex]\overset{\huge\frown}{AB} = 64^o[/tex]
[tex]\angle ABC = 73^o[/tex]
See attachment
First, we calculate [tex]\angle ACB[/tex] using:
[tex]\angle ACB = \frac{1}{2} \times \overset{\huge\frown}{AB}[/tex] ----- An inscribed angle is half the arc it intercepts
So, we have:
[tex]\angle ACB = \frac{1}{2} \times 64^o[/tex]
[tex]\angle ACB = 32^o[/tex]
Using the same theorem, we calculate [tex]\overset{\huge\frown}{AC}[/tex] as follows:
[tex]\angle ABC = \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
So, we have:
[tex]73^o = \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
Multiply both sides by 2
[tex]2 \times 73^o = 2 \times \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
[tex]2 \times 73^o =\overset{\huge\frown}{AC}[/tex]
[tex]146^o =\overset{\huge\frown}{AC}[/tex]
Hence:
[tex]\overset{\huge\frown}{AC} = 146^o[/tex]
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Answer:
your correct answers are 32 and 146
Step-by-step explanation:
to get 32, divide 64 by 1/2
To get 146, multiply 73 by 2
Hope I helped, got it right on test:)