Answer:
g) x = 30
h) x = 30
i) m = 55
j) x = 24
k) k = 45
Step-by-step explanation:
G)
all angles of a triangle add up to 180.
the square in the bottom right of the triangle is 90 btw
2x + x + 90 = 180
3x + 90 = 180
3x + 90 - 90 = 180 - 90
3x = 180 - 90
3x = 90
3x/3 = 90/3
x = 30
H)
this is an Isosceles triangle.
that means the bottom two angles are equal.
75 + 75 + x = 180
x + 150 = 180
x + 150 - 150 = 180 - 150
x = 180 - 150
x = 30
I)
2m is supplementary to the bottom right angle of the triangle.
that means they add together to make 180.
80 + 30 + (180 - 2m) = 180
110 - 2m = 180 - 180
110 - 2m = 0
110 = 2m
110/2 = m
55 = m
J)
to save time I'm not going to write out the steps, its the same as the i.
2x + 3x + (180 - 120 ) = 180
5x + 60 = 180
5x = 180 - 60
5x = 120
x = 120/5
x = 24
K)
imagine this as a triangle and a square.
sorry I'm not sure how to explain this -.-
but the equation would be
k + k + 90 = 180
2k + 90 = 180
2k = 180 - 90
2k = 90
k = 45
L)
Im not sure how to solve this, I'm sorry :( hope you figure it out!
Can someone help me understand how to do this?
Answer:
The answer is
\(k = 48\)
A contestant on a game show wins $100 for answering a question correctly in Round 1. In each subsequent round, the contestant’s winnings are doubled if she gives a correct answer. If the contestant gives an incorrect answer, she loses everything.
A. Write an explicit formula that gives the contestant’s winnings in round n, assuming she answers all questions correctly.
9. Composite Problem: To make wheat flour the following were blended: 20,000 lb of 12% protein wheat, 22,000 lb of 14% protein wheat, 16,000 lb of 10% protein wheat. a. How many lb of protein are in the final product? b. What is the % protein in the final product?
In the final product, there are 5,960 lbs of protein, with a protein percentage of 12.27%.
To solve this composite problem, follow these steps:
1. Calculate the protein content of each type of wheat:
- 12% protein wheat: 20,000 lb x 0.12 = 2,400 lb of protein
- 14% protein wheat: 22,000 lb x 0.14 = 3,080 lb of protein
- 10% protein wheat: 16,000 lb x 0.10 = 1,600 lb of protein
2. Find the total protein content: 2,400 + 3,080 + 1,600 = 5,960 lb of protein
3. Calculate the total weight of the wheat: 20,000 + 22,000 + 16,000 = 58,000 lb
4. Find the percentage of protein in the final product: (5,960 lb of protein / 58,000 lb of wheat) x 100 = 12.27% protein.
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the term to term rule is half then add 10 the 2nd term of the sequence is 44 wok out the 1st term
The first term of the sequence is 68.
How to find the first term of the sequence?The term to term rule of a sequence is halve then add 10.
The 2nd term of the sequence is 44.
Therefore, the first term of the sequence can be calculated as follows:
let
the first term = x
Hence, the rule to get the next term in the sequence is as follows:
1 / 2 x + 10 = 44
1 / 2 x = 44 - 10
1 / 2x = 34
cross multiply
x = 34 × 2
x = 68
Therefore, the first term is 68.
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How many of each coin does he have ?
Answer:
4 dimes and 6 bukles
Step-by-step explanation:
hope this helps :)
Find the side of a cube if its volume is 1331 cm³.
Answer:
▶ 11 cmStep-by-step explanation:\( \: \)
Given:Volume of cube = 1331 cm3To Find:The side of a cubeSolution:\( \: \)
We know that,
☯ Volume of Cube = (Side)³ = 1331
Side = (11 × 11 × 11) \( \sf{\frac{1}{3} }\)
\( \tt{ \leadsto \: 11 \: cm}\)
Hope it helps! :)
7. Define a variable and write an expression for the phrase.
the quotient of 2 times a number and 19
2x/19
38x
19x/2
X/38
which of the following best describes a sequence?
A.a linear equation
B.a list of numbers
C.a procedure for getting the answer
D.events that happen in definite order
Answer:
b.a list of numbers
Step-by-step explanation:
bbbbbbbbbbbbbbbbbb
192+4(7a+6)
Pls
Help
Show ur work
(No spam)
Answer:
192 + 4( 7a + 6 )
DISTRIBUTE
192 + 28a + 24
ADD THE NUMBERS
216 + 28a or 28a + 216
Step-by-step explanation:
U DON'T HAVE TO TYPE "DISTRIBUTE" and "ADD THE NUMBERS"
help please!! i need this last one to finish!!!! 44 points!!
Answer:
The point is at about (4.5, 100).
Step-by-step explanation:
Minka's line is p = 22t, which has a y-intercept of 0.
Kenji's line is p = 50 + 11t, which has a y-intercept of 50.
Find the line with y-intercept at 0 and the line with y-intercept at 50. Follow the two lines until they intersect. The point of intersection is about (4.5, 100).
You can find this point by setting the two equations equal to each other:
22t = 50 + 11t
Subtract 11t from both sides.
11t = 50
t = 50/11 ≈ 4.545
Then you can find the p value for this point by plugging t = 4.545 into either equation.
p = 22(4.545) = 99.99
p = 50 + 11(4.545) = 99.995
On the graph the point is about (4.5, 100).
Rewrite, using the distributive
property.
16b-8b = ([?]-8)b = [?]b
Answer:
8b
Step-by-step explanation:
You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:
\(\displaystyle{16b-8b=\left(16-8\right)b}\)
Then evaluate and simplify:
\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)
are the ratios equivalent 6 pens:15 pencils 11pens:14 pencils yes or no
Answer:
no
Step-by-step explanation:
explain how you determined which distribution to use. the t-distribution will be used because the samples are independent and the population standard deviation is not known. the standard normal distribution will be used because the samples are independent and the population standard deviation is known
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
What is t-distribution and normal distribution ?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
In graphical form, the normal distribution appears as a "bell curve".
The normal distribution is the proper term for a probability bell curve.
In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.
Normal distributions are symmetrical, but not all symmetrical distributions are normal.
The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.
Therefore,
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
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The second quartile for a set of data will have the same value as the 50th percentile only when the data are symmetric.(True/false)
Th given statement "The second quartile for a set of data will have the same value as the 50th percentile only when the data are symmetric." is True because the condition is true only when data is symmetric.
The second quartile, also known as the median, represents the value that separates the lower 50% of the data from the upper 50% of the data. Similarly, the 50th percentile represents the value below which 50% of the data falls.
If the data are symmetric, it means that the distribution of the data is evenly balanced around the median value. In other words, if the data are folded in half at the median, the two halves will be roughly mirror images of each other.
In such a case, the median and the 50th percentile will have the same value since they both represent the value that separates the lower 50% of the data from the upper 50% of the data.
However, if the data are not symmetric, the median and the 50th percentile will generally have different values. In this case, the median may not provide a complete representation of the center of the distribution.
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let a = 4i - 2j, b = -3i 5j, and e = 2a 3b part d what is the direction of vctor e clockwise from the negative x-axis
To determine the direction of vector e clockwise from the negative x-axis, we need to find the angle it makes with the negative x-axis. The direction of vector e clockwise from the negative x-axis is 95.71 degrees.
It is given that vector e is defined as e = 2a + 3b and:
a = 4i - 2j
b = -3i + 5j
We can substitute the values of a and b into the expression for e:
e = 2(4i - 2j) + 3(-3i + 5j)
Expanding and simplifying, we get:
e = 8i - 4j - 9i + 15j
e = -i + 11j
Now, let's find the angle between vector e and the negative x-axis. We can use the arctan function to calculate the angle:
angle = arctan(e_y / e_x)
where e_x and e_y are the x and y components of vector e, respectively.
In this case, e_x = -1 and e_y = 11, so:
angle = arctan(11 / -1)
angle = arctan(-11)
Using a calculator, we find that the arctan(-11) is approximately -84.29 degrees.
Since the angle is measured counterclockwise from the positive x-axis, to determine the angle clockwise from the negative x-axis, we subtract this angle from 180 degrees:
angle_clockwise = 180 - 84.29
angle_clockwise ≈ 95.71 degrees
Therefore, the direction of vector e clockwise from the negative x-axis is 95.71 degrees.
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question is in the picture
Answer:
18 tables: $143
t tables: $35 + $6t
Step-by-step explanation:
35 + 6t
35 + 6(18) = 35 + 108 = 143
help me pls??????? :)
Answer:4 in each bad 2 left over
Step-by-step explanation:
Answer:
4 in each bag and 2 left over
Step-by-step explanation:
divide 14 by 3
3 goes into 14, 4 times
14 - 12 = 2
4 in each bag and then 2 left over
guyssss please help me with this maths problem it's from coordinates I hope you will help me I literally need this one pls will give 8 points
Answer:
find the perpendicular of the angle of pole
is 5.67 A)rational B)Irrational C)whole D) natural E)integer
if the function int volume(int x = 1, int y = 1, int z = 1); is called by the expression volume(3), how many default arguments are used?
If the function int volume(int x = 1, int y = 1, int z = 1);` is called by the expression volume(3)`, only one default argument is used.
The function volume has three parameters with default arguments: `x`, `y`, and `z`. When calling the function `volume(3)`, the argument `3` is passed as the value for parameter `x`, while parameters `y` and `z` are not specified explicitly consider default function .
In this case, the default arguments `1` for parameters `y` and `z` are used.
Therefore, only one default argument is used, specifically the default argument for parameter `y`.
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calculate the lie factor of the following graph. do you think the concept of a lie-factor is useful or relevant in practice?
Therefore, The lie factor is a helpful tool to identify misleading graphs, but it should be used alongside critical thinking and contextual understanding.
The lie factor is a measure of how much a graph distorts the data it represents. It is calculated by dividing the size of the effect shown in the graph by the size of the effect in the data. A lie factor of 1 indicates no distortion, while a lie factor greater than 1 indicates distortion. In practice, the concept of a lie factor can be useful to identify misleading graphs that exaggerate or downplay the significance of the data. However, it should be used in conjunction with other critical thinking skills and contextual understanding to fully evaluate the accuracy and relevance of a graph's message.
Therefore, The lie factor is a helpful tool to identify misleading graphs, but it should be used alongside critical thinking and contextual understanding.
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Which equation could be used to find the length of the hypotenuse?
Triangle A B C. Side A C is 2 feet and side C B is 5 feet. Hypotenuse A B is labeled c.
2 squared + 5 squared = c squared
2 squared + c squared = 5 squared
c squared minus 2 squared = 5 squared
5 squared minus 2 squared = c squared
Each chart has which three components (choose three)?
A. Forecast of customer
B. A center line representing the average
C. An upper line representing last week's sample
D. A lower line representing last week's sample
E. An upper line representing the maximum acceptable variation upwards
F. A lower line representing the maximum acceptable variation downwards
G. A center line representing the maximum acceptable variation centrally
Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.
Each chart has the following three components:
1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.
2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.
3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.
These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.
In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.
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Solve the quadratic equation numerically (using tables of x- and y- values). x(x + 6) = 0 a. x = -1 or x = 3 c. x = 0 or x = -3 b. x = 0 or x = 6 d. x =0 or x = -6
Answer:
d. x =0 or x = -6
Step-by-step explanation:
x(x + 6) = 0
This is telling us that either x is 0 or x is -6, because:
1) when x = 0, 0*(0+6)=0, and
2) when x = -6, -6*(-6+6) = 0; -6(0) = 0
The vapor pressure of a given liquid will increase if:
a. the liquid is moved to a container in which its surface is very much larger.
b. the volume of the liquid is increased.
c. the volume of the vapor phase is increased.
d. the temperature is increased.
e. a more volatile liquid is added to the given liquid
The vapor pressure of a given liquid will increase if the temperature is increased.
Therefore the answer is (d).
Vapor pressure is defined as the pressure exerted by the vapor phase of a liquid in equilibrium with its liquid phase at a given temperature. When the temperature of a liquid is increased, the kinetic energy of its molecules also increases, which can lead to an increase in the number of molecules that escape from the liquid phase into the vapor phase. As a result, the vapor pressure of the liquid will increase.
Options a, b, and c do not necessarily cause an increase in vapor pressure. A larger container with a larger surface area (a) may lead to an increase in the rate of evaporation, but it will not necessarily result in an increase in vapor pressure. An increase in the volume of the liquid (b) or the vapor phase (c) would result in a decrease in the vapor pressure, not an increase. Adding a more volatile liquid to the given liquid (e) may result in a change in the vapor pressure, but it is not clear that it would necessarily result in an increase.
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find the volume (in cubic units) of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x 2y 3z
The volume of the largest rectangular box is 0 cubic units. To find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 0.
We need to determine the coordinates of the vertex. The plane x + 2y + 3z = 0 intersects the three coordinate axes at points (0, 0, 0), (0, 0, -1/3), and (0, -1/2, 0). The vertex of the rectangular box is the point where all three coordinate axes intersect, which is (0, 0, 0).
The dimensions of the rectangular box are the distances from the vertex to the points of intersection on each axis. These dimensions are 0 units in the x-axis, 0 units in the y-axis, and 0 units in the z-axis. Therefore, the volume of the largest rectangular box is 0 cubic units.
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Your weekly net income is $380. Your total budgeted monthly expenses $1. 550,00. Do you have a surplus or deficit balance at the end of the month?
We will have a Deficit balance of $30 at the end of the month.
"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."
Weekly net income = $380
Monthly net income = $380 * 4 weeks = $1520.
Monthly expenses = $1550
Balance = Monthly income - monthly expenses = $-30.
The negative sign shows a deficit of $30 monthly
Therefore, We will have a Deficit balance of $30 at the end of the month.
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What is the set of numbers to which √10.24 belong?
√10.24 belongs to the set of rational numbers.
Here we are given the number √10.24.
Now first we see that √10.24
= 3.2
Now as we can see that there is a number other than 0 after the decimal point here. Hence the above number cannot be classified as a natural number, a whole number, or an integer.
However, on converting 3.2 into the fractional form, we see that
3.2 = 32/10
reducing this to smallest form we get
16/5
Here we could easily represent 3.2 in the form of p/q where q is not equal to 0.
Hence p/q is a rational number.
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if 2t2 eqauls 4 then wah t is 2t4
Samuel Nana deposited $1,600 into a savings account as a college fund on his birthday. how much will Samuel have in this account after 17 years at a yearly simple interest rate of 1.5% ?
Let's calculate the interest he will accumulate in 1 year:
1.5% of 1600
Note: 1.5% = 1.5/100 = 0.015
So,
0.015 * 1600 = $24 (in 1 yr)
Thus, in 17 years, he will get:
17 * 24 = $408 [total simple interest in 17 years]
Now,
So, total amount he will accumulate after 17 years is the initial amount PLUS interest. That would be:
1600 + 408 =
$2008