Answer:
It's 25
Step-by-step explanation:
It's asking for distance between the two numbers
Answer:25
Step-by-step explanation:
the sum of two positive numbers is 16 and their difference is 2 . the larger number is?
Answer:
9
Step-by-step explanation:
7 + 9 = 16
9 - 7 = 2
The larger number is 9
Hope that helps!
Answer: \(9\)
Step-by-step Explanation: \(9+7=16\) and \(9-7=2\) and \(9\) is bigger so the answer is \(9\).
Philip used a triangular prism as part of his science project. The diagram shows some
dimensions of the prism.
10 cm
15 cm
6 cm
What is the total surface area of the prism in square centimeters?
A 408 cm
B
360 cm
с
456 cm?
D
366 cm
Answer:
the total is going to be number a
Answer:
408cm
Step-by-step explanation:
i'm just built different
A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop.
How many more pounds of plant food does the landscaper need?
Enter your answer as a mixed number in simplest form
ANSWER QUICK PLS
Answer:
1 and 11/12
Step-by-step explanation:
1 1/4 + 4/6 = 1 1/12, therefore the landscaper has 1 and 1/12 pounds of plant food.
3 4/8 - 1 1/12 = 1 11/12, therefore the farmer needs 1 and 11/12 pounds of plant food.
james scored 182 points while playing a video game. he scored 7 times as many points as jada scored.how many points did jada score?
The points jada score is 159.25.
Given that james scored 182 points while playing a video game and he scored 7 times as many points as jada scored.
Let x be the points scored by james and y be the points scored by jada.
The total points scored by james and jada is 182 points.
x+y=182 .....(1)
James scored 7 times many points as jada scored.
y=7x .....(2)
So, there are two equations and two unkowns.
Firstly, we will substitute equation (2) in equation (1), we get
x+7x=182
8x=182
Divide both sides by 8, we get
8x/8=182/8
x=22.75
Further, we will substitute the value of x in equation (2), we get
y=7×22.75
y=159.25
Hence, the jada score 159.25 when james scored 182 points while playing a video game and ahe scored 7 times as many points as jada scored.
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How do I do this math problem
##################################################
There are three angles measured in degrees of a triangle where x is the largest angle, y is the middle angle, and z is the smallest angle.
The measure of the largest angle is 40 degrees less than twice the sum of the measure of the other two angles.
The measure of the largest angle is twice the smallest angle plus 10 degrees.
The sum of the angles of a triangle can be written as x + y + z = 180.
What are the other equations that represent this system of equations?
Select each correct answer.
a.) x=2y+10
b.) x=2z+10
c.) x=40-2(y+z)
d.) x=2z+y-40
e.) 2(y+z)-40
An angle is a polyhedron made up of two rays with a shared terminal, often known as sides or legs (called the vertex). Angles are used to express how much rotation or inclination there is between second line or planes and are commonly described in degrees or radians.
From the given information, we have the following equations:
\(x = 2(y+z) - 40\) (the largest angle is 40 degrees less than twice the sum of the other two angles)
\(x = 2z + 10\) (the largest angle is twice the smallest angle plus 10 degrees)
\(x + y + z = 180\) (the sum of the angles of a triangle is 180 degrees)
To simplify the system of equations, we can use the second equation to substitute for x in the first equation:
\(2z + 10 = 2(y+z) - 40\)
Simplifying this equation, we get:
\(y = z + 25\)
Now we can substitute x and y in terms of z into the third equation:
\(x + (z+25) + z = 180\)
Simplifying this equation, we get:
\(x + 2z = 155\)
Finally, we can substitute x in terms of z from the first equation into this last equation:
\(2(y+z) - 40 + 2z = 155\)
Simplifying this equation, we get:
\(y + 3z = 97\)
Therefore, the equations that represent this system are:
\(x = 2(y+z) - 40\\y = z + 25\\x + 2z = 155\\y + 3z = 97\)
So the correct answers are:
\(a.) x=2y+10\\d.) x=2z+y-40\\e.) 2(y+z)-40\)
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The equations that represent this system are:
a.) x=2y+10
d.) x=2z+y-40
e.) 2(y+z)-40
What is angles ?
An angle is a polyhedron made up of two rays with a shared terminal, often known as sides or legs (called the vertex). Angles are used to express how much rotation or inclination there is between second line or planes and are commonly described in degrees or radians.
From the given information, we have the following equations:
=> x=2(y+z)-40 (the largest angle is 40 degrees less than twice the sum of the other two angles)
=> x=2z+10 (the largest angle is twice the smallest angle plus 10 degrees)
=> x+y+z=180 (the sum of the angles of a triangle is 180 degrees)
To simplify the system of equations, we can use the second equation to substitute for x in the first equation:
=> 2z+10=2(y+z)-40
Simplifying this equation, we get:
y=z+45
Now we can substitute x and y in terms of z into the third equation:
x+z+25+z=180
Simplifying this equation, we get:
=> x+2z=155
Finally, we can substitute x in terms of z from the first equation into this last equation:
2(y+z)-40+2z=155
Simplifying this equation, we get:
y+3z=97
Therefore, the equations that represent this system are:
a.) x=2y+10
d.) x=2z+y-40
e.) 2(y+z)-40
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The gross annual salary earned by a civil servant is $54240. Find his net monthly salary if deductions of $1475 are made per month.
Answer:
$ 52, 470
Step-by-step explanation:
There are 12 months in a year so to find out how the net monthly salary would be you would do
54, 240 - 1475(12) = 52, 470
which of the following give chart elements a realistic, three-dimensional look?A. axisB. chart areaC. legendD. plot area
The option that gives chart elements a realistic, three-dimensional look is D. Plot Area.
The option that gives chart elements a realistic, three-dimensional look is the plot area. The plot area is the portion of the chart that displays the data points and is typically the main focus of the chart. Adding shading and depth to the plot area, can give the chart a more lifelike appearance and make the data more visually engaging. Additionally, three-dimensional charts can also be created by using specialized charting software that allows for the creation of 3D visualizations. These types of charts can be useful for highlighting patterns and trends in the data, especially when dealing with large datasets.
In a chart, the plot area is the space where the actual data points, bars, lines, or pie slices are displayed. By applying three-dimensional effects to the plot area, you can make the chart elements appear more realistic and visually appealing. This can enhance the viewer's understanding of the data being represented and make the chart more engaging.
In summary, to give chart elements a realistic, three-dimensional look, you should focus on the plot area (Option D). The axis (Option A), chart area (Option B), and legend (Option C) do not directly contribute to creating a three-dimensional appearance for the chart elements.
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what does the slope of a beer's law plot represent
The slope of a beer's law plot represents that one can quantitatively determine the molar absorptivity of a substance, which is essential for accurately determining concentrations of unknown samples using spectrophotometric methods.
In Beer's law, the relationship between the concentration of a substance and its absorbance is described by the equation A = εbc, where A is the absorbance, ε is the molar absorptivity (also known as the molar absorptivity coefficient), b is the path length of the sample, and c is the concentration of the substance.
When plotting a graph of absorbance versus concentration, the slope of the line represents the molar absorptivity (ε). The molar absorptivity is a constant that reflects the substance's ability to absorb light at a specific wavelength. A higher molar absorptivity indicates that the substance has a greater tendency to absorb light and is more sensitive to changes in concentration.
Conversely, a lower molar absorptivity indicates weaker absorption characteristics.
In summary, by measuring the slope of the Beer's law plot, one can quantitatively determine the molar absorptivity of a substance.
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Suppose that f(t) is periodic with period [-, π) and has the following complex Fourier coefficients: *** Co = 4, C₁=1-3i, c₂=-4-3i, c3 = 4i, *** (A) Compute the following complex Fourier coefficients. C_3 4i C_2 = -4+41 -1 4-4i (B) Compute the real Fourier coefficients. (Remember that ei kt cos(kt) + i sin(kt).) ao 4 , a₁ = 8 a₂ = -8 a3 = 0 2 " .... b₁ -8 b₂ = 8 b3 - , 9 (C) Compute the complex Fourier coefficients of the following. (i) The derivative f'(t). Co= 0 G₁ = -4+4i C₂ = -8i+8 75 (ii) The shifted function f(t + Co = C₂ (iii) The function f(3t). Co = C₁ = 4+4i C₁ = C3 = C₂ = -4-4i = 8 5- , C3= 12 C3 -41
(A) The complex Fourier coefficients are computed as follows:
C₃ = 4i
C₂ = -4 + 4i
C₁ = -1
C₀ = 4 - 4i
(B) The real Fourier coefficients can be obtained by separating the complex Fourier coefficients into their real and imaginary parts. The real coefficients are computed as follows:
a₀ = Re(C₀) = 4
a₁ = Re(C₁) = -1
a₂ = Re(C₂) = -4
a₃ = Re(C₃) = 0
...
b₁ = -Im(C₁) = -3
b₂ = -Im(C₂) = -3
b₃ = -Im(C₃) = 4
(A) The complex Fourier coefficients are computed as follows:
C₃ = 4i
C₂ = -4 + 4i
C₁ = -1
C₀ = 4 - 4i
(B) The real Fourier coefficients can be obtained by separating the complex Fourier coefficients into their real and imaginary parts. The real coefficients are computed as follows:
a₀ = Re(C₀) = 4
a₁ = Re(C₁) = -1
a₂ = Re(C₂) = -4
a₃ = Re(C₃) = 0
...
b₁ = -Im(C₁) = -3
b₂ = -Im(C₂) = -3
b₃ = -Im(C₃) = 4
(C) The complex Fourier coefficients of the given transformations are computed as follows:
(i) For the derivative f'(t), the complex coefficients remain the same except for C₀, which becomes 0 since the derivative of a constant term is zero.
C₀ = 0
C₁ = -1
C₂ = -8i + 8
C₃ = 4 + 4i
(ii) For the shifted function f(t + δ), the complex coefficients remain the same except for C₀, which remains unchanged.
C₀ = 4 - 4i
C₁ = -1
C₂ = -4 + 4i
C₃ = 4i
(iii) For the function f(3t), the complex coefficients are scaled by a factor of 1/3, as the argument of the function is multiplied by 3.
C₀ = 4/3 - 4i/3
C₁ = -1/3
C₂ = -4/3 + 4i/3
C₃ = 4i/3
The computed complex Fourier coefficients provide information about the frequency content and magnitude of the original function and its transformed versions.
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Hi Need Help on on this! Thank you so much! Will give a thumbs up!:)
The incremental fuel costs for two generating units 4 and B of a power plant are given by the following relations:
dFA/dPA=0.06 PA+ 11.4 dFy/dPa=0.07 Pa + 10 where P is the power in MW and F is the fuel cost in rupees per hour.
(a) Find the economic loading of the two units when the total load to be supplied by the power station is 150 MW.
(b) Find the net increase in fuel cost per hour if the load is equally shared by the two units.
(a) The economic loading of unit 4 and B are 11.54 MW and 138.46 MW, respectively.
To find the economic loading of the two units when the total load to be supplied by the power station is 150 MW, we need to minimize the total fuel cost. Let x be the power generated by unit 4 and y be the power generated by unit B. Then, we have:
x + y = 150 (total load)
The total fuel cost C is given by:
C = F4(x) + Fb(y)
where F4(x) and Fb(y) are the fuel costs for units 4 and B, respectively. Using the given relations, we have:
F4(x) = 0.06x^2 + 11.4x
Fb(y) = 0.07y^2 + 10y
Substituting x = 150 - y, we get:
C(y) = 0.06(150-y)^2 + 11.4(150-y) + 0.07y^2 + 10y
Expanding and simplifying, we get:
C(y) = 0.013y^2 - 3.6y + 1710
To minimize C(y), we take its derivative with respect to y and set it equal to zero:
dC/dy = 0.026y - 3.6 = 0
y = 138.46 MW
Substituting y back into x = 150 - y, we get:
x = 11.54 MW
(b) The negative value that is -1297.5 indicates that there is a net decrease in fuel cost per hour if the load is equally shared by the two units.
To find the net increase in fuel cost per hour if the load is equally shared by the two units, we need to calculate the fuel cost for each unit when they generate half of the total load (i.e., 75 MW). Using the given relations, we have:
F4(75) = 0.06(75)^2 + 11.4(75) = 1282.5
Fb(75) = 0.07(75)^2 + 10(75) = 1312.5
Therefore, the total fuel cost is:
C = F4(75) + Fb(75) = 2595
If the load is equally shared by the two units, each unit generates 75/2 = 37.5 MW. The fuel cost for each unit is:
F4(37.5) = 0.06(37.5)^2 + 11.4(37.5) = 641.25
Fb(37.5) = 0.07(37.5)^2 + 10(37.5) = 656.25
Therefore, the total fuel cost is:
C' = F4(37.5) + Fb(37.5) = 1297.5
The net increase in fuel cost per hour is:
ΔC = C' - C = 1297.5 - 2595 = -1297.5
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what property of integer is this?
The expression given as -15 + 0 is a representation of the identity property of integer
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the property of integer?The expression is given as
-15 + 0
The identity property of integer states that
x + 0 = x
This means that
-15 + 0 is a representation of the identity property of integer
Hence, the expression given as -15 + 0 is a representation of the identity property of integer
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Solve each equation mentally
A Ferris wheel has a diameter of 150 ft. Passengers ride in a carriage around the Ferris wheel. About how far does a carriage of passengers travel during one rotation of the wheel? Round to the nearest tenth. Show or explain your thinking.
Therefore, the distance covered by a passenger vehicle during one turn of the wheel is roughly 471.2 feet (rounded to the nearest tenth).
Diameter and circumference are what?The ratio of a circle's circumference to width serves as the basis for the traditional meaning of Pi (). The diameter or extent of a circular is its circumference. A straight line connecting a spot on one point of the circular to a point at the other end, going through the middle, is the diameter.
The following algorithm determines a circle's circumference:
C = πd
where d is the diameter of the circle. In this case, the diameter of the Ferris wheel is 150 ft, so its circumference is:
C = π(150) ≈ 471.2 ft
This indicates that a full rotation of the Ferris wheel is equal to a passenger vehicle moving about 471.2 feet.
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a philosophy professor assigns letter grades on a test according to the following scheme. a: top 12% of scores b: scores below the top 12% and above the bottom 56% c: scores below the top 44% and above the bottom 20% d: scores below the top 80% and above the bottom 9% f: bottom 9% of scores scores on the test are normally distributed with a mean of 78.6 and a standard deviation of 9.5 . find the minimum score required for an a grade. round your answer to the nearest whole number, if necessary.
Answer:
90
Step-by-step explanation:
You want the nearest whole number to the boundary at the 88th percentile in a normal distribution with a mean of 78.6 and a standard deviation of 9.5.
88th percentileStandard functions are available for finding the value corresponding to a given area under the normal probability density curve. Here, we want the value such that 12% of the area is above that value. It means 88% will be below the value. This is called the 88th percentile of the distribution.
The attached calculator output shows the test score for a letter grade of A must be at least 90.
please help me with this maths question
The asked net for the cube of side length 2 cm has been shown.
What is surface area?The surface area is defined as a region of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
The cube of side length 2 cm is given we have to draw the net for the given cube.
So first we calculate the surface area,
surface area of the cube = 6 [a]²
surface area = 6 (2)² = 24 cm²
Here, as the cube has 6 faces, unbind the cube on the coordinate plate.
Thus. the required net for the cube has been shown.
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She buys at least three but fewer than 9 large oranges.
Answer:
7
Step-by-step explanation:
any number greater than 3 but it has to be less than 9
I just failed a test cansomeone explained to me what inequalitys are
Answer:
An inequality is a relation which makes a non equal comparison between two of more numbers or other mathematic equations. > I'd greater than < is less than = equal to. ≥ is greater than or equal ≤ less than or equal to. = equal to ≠ not equal
Step-by-step explanation:
Inequality- is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Calvin wants to know the proportion of students at his school who plan to
attend college. he interviews a random sample of students at his school.
he finds that 70% of the students in the sample plan to attend college.
what conclusion can he draw from the sample?
Answer:
30% of students do not plan to attend college.
solve the following system of linear equationy=4x - 7y=-2x + 5
Answer:
x =6
Explanation:
To solve the system for x, substitute the value of y from the second equation into the first to get
\(2x+5=4x-7\)adding 7 to both sides gives
\(2x+12=4x\)Subtracting 2x from both sides gives
\(12=2x\)dividing both sides by 2 gives
\(x=6\)which is our answer!
( 4 + − 5 ) × ( 7 − − 3 )
Answer:
-10
Step-by-step explanation:
4+-5 is the same as 4-5 =-1
7--3 is the same as 7+3 =10
-1 * 10 = -10
The Answer would be:
-10
Chi-square distributions that are positively skewed have a research hypothesis that is?
Answer:
A one tailed test
Step-by-step explanation:
Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.
Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.
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One-Tailed Test
In probability theory and statistics, the chi-square distribution with k degrees of freedom is the distribution of the sum of squares of k independent standard normal random variables. The chi-square distribution is a continuous probability distribution. The shape of the chi-square distribution depends on its degrees of freedom k. It is used to describe the distribution of the sum of squares of random variables. The chi-square distribution is positively skewed, with decreasing skewness as the degrees of freedom increase. The chi-squre distribution approaches the normal distribution on increase of degree of freedom.Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.
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State the property that justifies the following statement.
If 7(x-3)=35, then 35=7(x-3).
The property that justifies the following statement, if 7(x-3)=35 then 35=7(x-3) is the symmetric property.
Symmetric property is one of the properties of equality which states that if there is an equality sign (=) between two values or numbers, then the two values will always remain equal even if you change the sides of the values. Therefore if ab = cd, then cd = ab
Hence, according to this property, the left side of the equation can be transferred to the right side and the right side of the equation can be transferred to the left side as the order of the equation can be ignored.
The symmetric property also justifies that if the values on the two sides are not equal, then they will remain unequal even if the sides are changed. That is if ab ≠ cd, then cd ≠ ab.
So, according to the symmetric property, the statement, if 7(x-3)=35 then 35=7(x-3) is valid.
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Story "how beaver stole fire" select 2 words that describe beaver
long ago there were no people in the world. animals and trees talked just as men do now. they also walked about. now in those days, pine trees had the secret of fire. they would tell no one else. no one could have a fire, no matter how cold it was, unless he were a plne. one winter it was so cold the animals almost froze to death. then they called a council. they wanted to steal fire from pine trees. now on grande ronde river, plne trees were holding also a great council. they had buillt a large fire to warm themselves. guards were put around the fire to keep off all animals. but beaver hld under the bank, near the fire, before the guards took their places, so they did not see him. after a whille a live coal rolled down the bank near beaver. he hid it in his breast and ran away. pine trees started after him. when pine trees caught up near him, beaver dodged from side to side. other times he ran stralght ahead. that is why grande ronde river winds from side to side in some places. in other places it is straight. when they had run a long way, pine trees grew tired. they stopped on the river banks. so many stopped there, and so close together, that even today hunters can hardly get through the trees. a few kept on after beaver and stopped here and there. these also remaln here and there on the river bank. of the hill. beaver was far ahead. he was just diving into big snake river where grande ronde joins it. beaver swam across big snake river and gave fire to willows on the opposite bank. farther on he gave fire to birches and to other trees. so these woods have fire in them. ever since then animals and indians can get fire from these woods by rubbing two pieces together. cedar still stands all alone on the very top of the hill. he is very old. his top is dead. the chase was a long one. you can see that because there are no other cedars within a hundred miles of him. old men of the tribes point him out to the children. they say, "there is old cedar. he stands just where he stopped when he chased beaver."plssss help noeww
Two words that describe the beaver in the story "How Beaver Stole Fire" are cunning and resourceful.
Beaver demonstrates his intelligence and cleverness by hiding near the fire and stealthily taking live coal without being noticed. He then uses his agility to outmaneuver the pursuing pine trees, leading them on a chase that results in the winding path of the Grande Ronde River. These qualities highlight the beaver's ability to strategize and adapt to overcome obstacles and achieve his goal of bringing fire to other trees and animals.
In the story, the beaver's actions showcase his cunning nature. He carefully observes the guards around the fire and waits for an opportunity to snatch live coal. His resourcefulness is evident as he hides the coal in his breast, ensuring its safety while he makes his escape. Beaver's quick thinking and ability to navigate through the forest while being pursued by pine trees demonstrate his cleverness and agility.
Furthermore, beaver's actions have long-lasting consequences in the landscape. The winding path of the Grande Ronde River is attributed to the beaver's evasive movements during the chase. This explanation provides a mythological origin for the river's unique shape. It highlights the beaver's impact on the environment and his ability to shape the physical features of the land.
Overall, the story portrays beaver as a cunning and resourceful character, showcasing his intelligence, adaptability, and influence on the natural world.
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Help pleaseeeeeeeeee
What is the value of
\(2 {x}^{ - 2} {y}^{ - 2} \)
for x = 3 and y = -2?
A.
\( \frac{1}{18} \)
B. 72
C.
\(2 {( - 6)}^{ - 4} \)
D. 1/648
#7 please write in slope intercept form!
Answer:
3/4 or 1/4 stays
Step-by-step explanation:
Please help me with this answer!! I really need your help ASAP anyone just ANYONEEE
Answer:
A
Step-by-step explanation:
Since his work only shows the 3 repeating, this means that the 1/12 is 0.083⁻ (3 repeating) not 0.083083083083...
i need help with only partB
The second step when evaluating the given expression is to subtract 6 from 18, simplifying the expression within the parentheses to 12.
The second step when evaluating the expression 3 + (18 - 6) + 20 + 4 is to perform the operation within the parentheses, specifically the subtraction inside the parentheses.
Let's break down the expression step by step:
1. Start with the expression: 3 + (18 - 6) + 20 + 4
2. The expression inside the parentheses is 18 - 6. To simplify this, we subtract 6 from 18, which equals 12.
3. Now, we rewrite the expression with the simplified part: 3 + 12 + 20 + 4
4. At this point, the expression consists of addition operations only. When evaluating an expression with multiple addition operations, we start from the left and work our way to the right, performing the addition operation between two numbers at a time.
5. The first addition operation is between 3 and 12. Adding these two numbers gives us 15.
6. We rewrite the expression again, replacing the addition of 3 and 12 with the result: 15 + 20 + 4
7. Now, we perform the next addition operation between 15 and 20, resulting in 35.
8. We rewrite the expression once more: 35 + 4
9. Finally, we perform the last addition operation between 35 and 4, resulting in 39.
Therefore, the second step when evaluating the given expression is to subtract 6 from 18, simplifying the expression within the parentheses to 12.
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