Answer:
3 down, 4 up
Step-by-step explanation:
-3 is the X line, which starts on 0, if you subtract 3, or add -3, you would have to go down, 3 down. 4 is on the Y line, so you add, go left to add on the Y line, 4 up.
Always start with you X coordinate. Here is a tip to help you (X, Y)
3[-2(8-13)] how to solve it
Answer:
3 times - 2,times 8-13
You solve the ones in the bracket first
(the rule of BODMAS)
So 8-13 first, then
-2times 8-13,then
Then you get your answer
how many terms are in the following?
5x-7+8k+2x+k
Answer: 5
Step-by-step explanation:
Terms are single numbers, variables, or the product of a number and variable.
find projvu and projuv. use the euclidean inner product. u = (5, −7, 1), v = (1, −1, 0)
The projection of vector v onto vector u (projvu) (6, -6, 0).
where v • u represents the dot product of vectors v and u, and ||u||^2 represents the squared magnitude of vector u.
we use the formula:
projvu =\( (v • u / ||u||^2) * u\)
Using the given values of u and v, we can compute their dot product:
\( v • u = (5*1) + (-7*-1) + (1*0) = 12\)
We can also find the squared magnitude of vector u:
\( ||u||^2 = (5^2 + (-7)^2 + 1^2) = 75\)
Plugging these values into the formula for projvu, we get:
projvu =\( (12 / 75) * (5, -7, 1) = (0.16, -0.22, 0.03)\)
Therefore, the projection of vector v onto vector u is approximately (0.16, -0.22, 0.03).
To find the projection of vector u onto vector v (projuv), we use the same formula but with the vectors reversed:
projuv = \( (u • v / ||v||^2) * v\)
We can compute the dot product of u and v as before:
\( u • v = (5*1) + (-7*-1) + (1*0) = 12\)
We can also find the squared magnitude of vector v:
\( ||v||^2 = (1^2 + (-1)^2 + 0^2) = 2\)
Plugging these values into the formula for proj uv, we get:
projuv =\( (12 / 2) * (1, -1, 0) = (6, -6, 0)\)
Therefore, the projection of vector u onto vector v is (6, -6, 0).
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Darlene is making a quilt that has alternating stripes of regular quilting fabric and sateen fabric. She spends $76 on a total of 16 yards of the two fabrics at a fabric store. Sateen fabric costs $6 per yard and quilting fabric costs $4 per yard. Which system of equations can be used to find the amount x (in yards) of regular quilting fabric and the amount y (in yards) of sateen fabric she purchased?
Answer:
\(\left \{ {{6x+4y=76} \atop {x+y=16}} \right.\)
Step-by-step explanation:
1) if (according to the condition) the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 6*x and the price of then sateen fabric is 4*y;
2) the 76$ she spends can be written as 6x+4y=76;
3) total of 16 yards can be written as x+y=16;
4) finally, the required system is:
\(\left \{ {{6x+4y=76} \atop {x+y=16}} \right.\)
A system of equations is a collection of two or more equations with a same set of unknowns. 4x+6y=76, x+y=16 are required system of equations.
What is system of Equations?A system of equations is a collection of two or more equations with a same set of unknowns.
According to the condition the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 4x and the price of then sateen fabric is 6y;
the 76$ she spends can be written as 4x+6y=76;
Total of 16 yards can be written as x+y=16;
So the required system of Equations is:
4x+6y=76
x+y=16
Hence Option C is correct. 4x+6y=76, x+y=16.
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which relationship is shown in the table below
a) proportional
b) nonproportional
Answer:
The table represents a proportional relationship
The angle between 0∘ and 360∘ that is coterminal with the −252∘ angle is degrees.
The angle coterminal with -252° between 0° and 360° is 108°.
To find the angle between 0° and 360° that is coterminal with the -252° angle, we can add or subtract multiples of 360° until we get an angle within the desired range.
Since the given angle is negative, we can add 360° to it repeatedly until we get a positive angle:
-252° + 360° = 108°
Therefore, the angle between 0° and 360° that is coterminal with the -252° angle is 108°.
Coterminal angles are angles that have the same initial and terminal sides but may differ in the number of complete revolutions made. In this case, by adding 360° to the given angle, we obtain an angle that falls within the desired range.
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Round this number to the
nearest tenth.
5.460
When dealing with figures that are round to the closest tenth, such as 5.460, it may be simpler to round the number to 5.5.
How is the rounding off done?We must look at the hundredth digit, which is 6, in order to round 5.460 to the nearest tenth. We must round up to the next higher digit, which is 4, because 6 is bigger than or equal to 5. The result is 5.5, which has been rounded to the nearest tenth.
If the digit in the hundredths place is 5 or above, we round up the tenths digit; if it is less than 5, we leave the tenths digit as is. This is the basic rule we use when rounding numbers to the closest tenth. In this instance, we round up the tenths digit from 4 to 5 because the hundredths digit is 6. When we want to streamline calculations or explain numbers in a more understandable or natural way, rounding might be helpful.
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Question 1
A pair of running shoes is on sale for $125.99. If the sale price is discounted 9% from the original price, what is the
original price?
Answer:
$138.45
Step-by-step explanation:
The original price was 100% of the original price since 100% is the whole thing.
The price was discounted by 9%.
100% - 9% = 91%
That means the discounted price is 91% of the original price.
Let x = original price.
91% of x = $125.99
0.91x = 125.99
x = 125.99/0.91
x = 138.45
Answer: $138.45
What is the measure (in radians) of central angle in
the circle below?
4 cm
6 cm
Answer:
where is circle?????????
In a science lab, a number of rock samples are weighed. If the scientist finds one of the rocks to weigh 6.5 pounds and this is 23.3% of the total weight of all of the rocks, what is the weight of all of the rocks
The scientist concludes that the weight of a 6.5 pounds rock is equal to 23.3% of the total weight of all the rocks. Hence the total weight of all rocks is 27.9 pounds.
Given that:
Weight of one rock= 6.5 pounds
A 6.5-pound rock weighs the same as 23.3 percent of the overall weight.
Let the total weight of all the rocks is = A
So, by using the given statement:
6.5= 23.3% of A
6.5= 23.3% × A
6.5= (23.3/100)×A
(23.3/100)×A = 6.5
Multiplying both sides by (100/23.3) we obtain,
A= 6.5×(100/23.3)
A= 6500/233
A= 27.9
Therefore, the overall weight of all the rocks is 27.9 pounds.
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The ratio of dye to pounds of clothing is constant. A worker develops the chart below to show the amount of dye needed
for different amounts of clothing.
Clothes Dyeing
Weight of clothing Cups of dye
(pounds)
21
3
42
9
84
12
105
15
For which weight of clothing is the ratio of weight to dye different from the other ratios?
21 pounds
42 pounds
84 pounds
105 pounds
Answer: The answer is 42
Step-by-step explanation:
I did the test too :)
The weight of clothing for which the ratio of weight to dye is different from the other ratios is 42 pounds.
To determine which weight of clothing has a ratio of weight to dye different from the other ratios, we need to compare the ratios for each weight.
Let's calculate the ratios for each weight of clothing by dividing the weight of clothing (in pounds) by the cups of dye:
For 21 pounds of clothing: 21 pounds / 3 cups = 7 pounds per cup
For 42 pounds of clothing: 42 pounds / 9 cups = 4.67 pounds per cup
For 84 pounds of clothing: 84 pounds / 12 cups = 7 pounds per cup
For 105 pounds of clothing: 105 pounds / 15 cups = 7 pounds per cup
From the calculations, we can see that for weights of 21 pounds, 84 pounds, and 105 pounds of clothing, the ratios of weight to dye are the same, which is 7 pounds per cup. However, the ratio for 42 pounds of clothing is different, which is 4.67 pounds per cup.
Therefore, the weight of clothing for which the ratio of weight to dye is different from the other ratios is 42 pounds.
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A garden is shaped in the form of a regular heptagon (seven-sided), MNSRQPO. A circle with center T and radius 25m circumscribes the heptagon as shown in the diagram. The area of ΔMSQ is left for a children's playground, and the rest of the garden is planted with flowers. Find the area of the garden planted with flowers.
The relationship between the sides MN, MS, and MQ in the given regular heptagon is \(\dfrac{1}{MN} = \dfrac{1}{MS} + \dfrac{1}{MQ}\)
The area to be planted with flowers is approximately 923.558 m²
The reason the above value is correct is as follows;
The known parameters of the garden are;
The radius of the circle that circumscribes the heptagon, r = 25 m
The area left for the children playground = ΔMSQ
Required;
The area of the garden planted with flowers
Solution:
The area of an heptagon, is;
\(A = \dfrac{7}{4} \cdot a^2 \cdot cot \left (\dfrac{180 ^{\circ}}{7} \right )\)
The interior angle of an heptagon = 128.571°
The length of a side, S, is given as follows;
\(\dfrac{s}{sin(180 - 128.571)} = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)}\)
\(s = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)} \times sin(180 - 128.571) \approx 21.69\)
\(The \ apothem \ a = 25 \times sin \left ( \dfrac{128.571}{2} \right) \approx 22.52\)
The area of the heptagon MNSRQPO is therefore;
\(A = \dfrac{7}{4} \times 22.52^2 \times cot \left (\dfrac{180 ^{\circ}}{7} \right ) \approx 1,842.94\)
\(MS = \sqrt{(21.69^2 + 21.69^2 - 2 \times 21.69 \times21.69\times cos(128.571^{\circ})) \approx 43.08\)
By sine rule, we have
\(\dfrac{21.69}{sin(\angle NSM)} = \dfrac{43.08}{sin(128.571 ^{\circ})}\)
\(sin(\angle NSM) =\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ})\)
\(\angle NSM = arcsin \left(\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ}) \right) \approx 23.18^{\circ}\)
∠MSQ = 128.571 - 2*23.18 = 82.211
The area of triangle, MSQ, is given as follows;
\(Area \ of \Delta MSQ = \dfrac{1}{2} \times 43.08^2 \times sin(82.211^{\circ}) \approx 919.382^{\circ}\)
The area of the of the garden plated with flowers, \(A_{req}\), is given as follows;
\(A_{req}\) = Area of heptagon MNSRQPO - Area of triangle ΔMSQ
Therefore;
\(A_{req}\)= 1,842.94 - 919.382 ≈ 923.558
The area of the of the garden plated with flowers, \(A_{req}\) ≈ 923.558 m²
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A factory is fabricating seats for minor-league baseball stadium. The stadium holds 7500 individuals in the factory can fabricate 300 seats per day if 600 seats have already been made how long will it take for the factory to finish 7500 seats in total? Can someone help me solve this!
Answer:
23 days
Step-by-step explanation:
We are told that the stadium holds 7500 individuals.
Now, if 600 seats have already been made, It means the number of seats left to be made to complete the stadium = 7500 - 600 = 6900 seats
We are told that 300 seats can be made in a day. Thus, number of days to be used to finish the remaining seats = 6900/300 = 23 days
Thus, it will take 23 days to complete all the 7500 seats.
I just want this to be factored
Answer:
I usually use
Step-by-step explanation:
Use ^
ABCD and EFII GĦ. Use the figure above to find the value of each angle.
Give an explanation for each angle value.
Hope these help but i wrote all of it out with all its geometrical reasons
to disprove the null hypothesis a researcher must develop a number that demonstrates the existence of difference between two variables. this is called the:
To disprove the null hypothesis a researcher must develop a number that demonstrates the existence of a difference between two variables. this is called the alternative hypothesis.
Null hypothesis and Alternative hypothesis are two basic types of hypothesis that express the criteria of a research problem as a relationship between two or more variables.
Null hypothesis refers to the hypothesis which clarifies that there is no relationship between two variables.
An alternative hypothesis is the inverse of the null hypothesis which tells that there is a relationship between two variables.
Hence, demonstrating that there exist a difference between two variables is an alternative hypothesis.
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its in the file below
According to the information we can infer that Dora's conclusion may be incorrect because the information provided only states that the number of people who spent time reading falls within specific ranges (0-2 hours, 2-4 hours, and 2-10 hours), but it does not give a specific count for those who spent at least 4 hours. Therefore, Dora's assumption that "most people spent at least 4 hours a week reading" is not supported by the given data.
How to calculate the range of the time that Dora's friends spent reading?The range of the time spent reading cannot be determined from the information provided because the ranges are overlapping. For example, a person who spent exactly 2 hours reading could fall into both the first range (0-2 hours) and the second range (2-4 hours). Without more specific data or non-overlapping ranges, it is not possible to determine the exact range of time spent reading.
To estimate the mean time spent reading by Dora's friends, we can calculate the midpoint of each range and use it as an approximate value. The midpoint for the first range (0-2 hours) is 1 hour, for the second range (2-4 hours) is 3 hours, and for the third range (2-10 hours) is 6 hours. We can then calculate the estimated mean by taking the weighted average of these midpoints using the respective number of people as weights.
Estimated mean = [(4 * 1) + (5 * 3) + (11 * 6)] / (4 + 5 + 11) = 4.53 hours (approximately)
So, an estimate of the mean time spent reading by Dora's friends is approximately 4.53 hours.
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Combine the like terms to create an equivalent expression:
-49 - (-89) + 10
Answer:
60
Step-by-step explanation:
Was it possible for any of the kids in dr. vickers' sample (or anyone at all) to have the average number of feet?
It is possible, however, that some individuals in the sample may have had heights that were close to the average, either slightly above or slightly below it.
It is unlikely that any individual in Dr. Vickers' sample (or anyone at all) would have had the exact average number of feet, as the average is typically calculated as a mathematical mean that may or may not correspond to an actual measurement.
For example, if the average (mean) number of feet in a sample of 10 people is calculated to be 6 feet, it is highly unlikely that any individual in the sample actually has a height of exactly 6 feet. Rather, the average is a statistical summary of the data that provides insight into the central tendency of the sample as a whole.
It is possible, however, that some individuals in the sample may have had heights that were close to the average, either slightly above or slightly below it.
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What is -5(2x + y - 4)
Answer: \(-10x-5y+20\)
Step-by-step explanation:
Multiply each term in the parenthesis by -5:
\(-10x-5y+20\)
\(-5*2x-5y-5*(-4)\)
Calculate the Product:
\(-5*2x-5y-5*(-4)\)
\(-10x-5y-5*(-4)\)
Solution:
\(-10x-5y+20\)
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The Palmer family spends money each month on the expenses shown.
Drag each expense to show whether it is a fixed expense, a variable expense, or if it is neither of these from month to month.
Answer:
Here is the answer
Step-by-step explanation:
Fixed Expense: Car Payment, Home Mortgage, and Homeowners Insurance
Variable Expense: Water Bill, Home Maintenance, and Sewage Bill.
Neither: Nothing
I did it on imagine math and got it right. I hope this helps!
Answer:
Fixed Expense: Car Payment, Home Mortgage, and Homeowners Insurance
Variable Expense: Water Bill, Home Maintenance, and Sewage Bill.
Neither: Nothing
Step-by-step explanation:
What is the perimeter of the rectangle?
when the sides are 18 and 31
pls help me need the answer rn pls and thank u
Answer:
98
Step-by-step explanation:
Perimeter = 2(L + B)
L = 18
B = 31
Perimeter = 2(18 + 31)
= 2(49)
= 98
complete the identitysin 2x - cot x
Let's complete the identity:
\(\begin{gathered} \sin 2x-\cot x=2\sin x\cos x-\frac{\cos x}{\sin x} \\ =\frac{2\sin^2x\cos x-\cos x}{\sin x} \\ =\frac{\cos x(2\sin^2x-1)}{\sin x} \\ =\frac{\cos x}{\sin x}(2\sin ^2x-1) \\ =\frac{\cos x}{\sin x}(2(1-\cos ^2x)-1) \\ =\frac{\cos x}{\sin x}(2-2\cos ^2x-1) \\ =\frac{\cos x}{\sin x}(1-2\cos ^2x) \\ =\frac{\cos x}{\sin x}(-\cos 2x) \\ =-\cot x\cos 2x \end{gathered}\)what is the defenition of a circle
Answer:
A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant
Step-by-step explanation:
identify the slope and the y-intercept. Show your complete solution.
7x - 2y = 13
There are 20 sixth-grade students absent today, which is 5% of the total number of students in sixth grade. What is the total number of students in sixth grade?
Answer:
400
Step-by-step explanation:
400× 0.05= 20
wgich means u have 400 six grade students in total
can any one pls help me with 14,15 pls tysm! have a great day :D
Answer:
14.$403.46 or $403.50(rounded)
15.11.55 or 11.60(rounded)
Step-by-step explanation:
Commission is when you get a percent added to the amount of money you have already so with that being said-397.50+1.5%
She uses 24% so with that being said to find the amount left you have to subtract the percent from the original amount-15.2-24%
The square root of 125 is between
.
Answer:
11 and 12
Step-by-step explanation:
correct it is 11 and 12 ;)
a hockey team earns 2 points for a win,1 point for a tie, and 0 points for a loss. the number of points earned can be calculated using this formula
P = 2x + y where P = number of points
x = number of wins
y = number of ties
How many points would a team earn if they played 52 games, won 24 and lost 19?
Answer: 57
Step-by-step explanation: First add the won and lost games then subtract the sum from the total games played to determine how many games were tied. Then take the won games and multiply them by 2, take the tied games, and add them together to get your answer: 57.
brooke found the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form as follows
Answer:
The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \(\mathbf{y=-4x-3}\)
Step-by-step explanation:
Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.
The general equation of slope-intercept form is: \(y=mx+b\)
First we need to find slope
The formula used for finding slope is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)
We are given: \(x_1=-7, y_1=25, x_2=-4, y_2=13\)
Putting values in formula and finding slope
\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4\)
So, slope m= -4
Now finding y-intercept
Using slope m=-4 and point (-7,25) we can find y-intercept
\(y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3\)
So, y-intercept b =-3
Now, the equation of required line having slope m=-4 and y-intercept b=-3 is:
\(y=mx+b\\y=-4x-3\)
So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \(\mathbf{y=-4x-3}\)