Answer:
Step-by-step explanation:
Given equation is,
a). y = \(\frac{6}{x}\)
x 0.5 1 2 3 4 5 6
y \(\frac{6}{0.5}=12\) \(\frac{6}{1}=6\) \(\frac{6}{2}=3\) \(\frac{6}{3}=2\) \(\frac{6}{4}=1.5\) \(\frac{6}{5}=1.2\) \(\frac{6}{6}=1\)
b). By plotting the input-output values on the graph we get the curve as shown in option C.
Therefore, Option C will be the answer.
what do you notice about these two equations? (How many solutions?)
y=3x-2
y=-3x-9
Answer:
they both have the same slope and have infinite solutions
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
question 12 is answer B
question 13 is -8x^3
Step-by-step explanation:
exponent rule \(\frac{a^m}{a^n} = a^(^m^-^n^)\)
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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9x - 4 = 5x - 4 + 4x
Answer:
X = 1
Step-by-step explanation:
HOPE THIS HELPS
am i answering the same question over and over again?
whatever
PLZ MARK BRAINLIEST
100 points !!!!!!!!!!!!! please help
write a word problem for this equation
\(\frac{2}{3}*5\)
We have to,
write a word problem for this equation,
→ 2/3 × 5
Let's write a word problem,
For one student 2/3 part of one cake is needed. Then how many cakes will they have to buy for 5 students?
\(\boxed{\large{\bold{\blue{ANSWER~:) }}}}\)
we have to write a word problem for this equation
\(\frac{2}{3}*5\)
word problems:-
if 1 people needs 2/3 work.So how much work will need to 5 people.??
Find the value of x that makes m||n
Using alternating and corresponding angle theorems, the values of x are 11, 4, -4 and 10 respectively
Alternating and Corresponding Angle TheoremAlternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.
1)
9x + 8 = 107 (alternating angles are equal)
9x + 8 = 107
9x = 107 - 8
9x = 99
x = 11
2)
20x = 80 (alternating angles are equal)
20x = 80
x = 4
3)
x + 84 = 80 (corresponding angles are equal)
x = 80 - 84
x = -4
4) 120 + 6x = 180
This is gotten from applying alternating angle theorem and angle on a straight line theorem
120 + 6x = 180
6x = 180 - 120
6x = 60
x = 10
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Jessica had $17 and Kathy had $13 more than Jessica had. How much did Kathy have?
Answer:
$30
Step-by-step explanation:
17+13
Pls help will mark brainliest, no fake answers
Step-by-step explanation:
b = what Bernie earns per day = Php 1000
m = what Mitch earns on a given day
e = what Eugene earns on a given day
r = what Rowan earns on a given day
a.
t = the total earnings of Bernie and Mitch on a given day
t = m + 1000 (or m + b)
b.
e = m/2
c.
r = 2×(m + 1000) or 2×t
Miguel made an international phone call for 5.6 minutes. He was charged $0.35 for each minute. Find the amount he paid.
Answer:
$1.96
Step-by-step explanation:
I just multiplied 5.6 • 0.35 to get the sum of 1.96. I hope this is accurate and helped you :)
what is the answer to 72.8+164.02+174.01
Answer:410.83
Step-by-step explanation:
Just add, its easy
Answer:
410.83
Step-by-step explanation:
Hope this helps!!!
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 9
Step-by-step explanation:
We can solve for x in the given triangle by equating ratios of side lengths using the side splitter theorem.
\(\dfrac{\text{top section of left side}}{\text{bottom section of left side}} = \dfrac{\text{top section of right side}}{\text{bottom section of right side}}\)
↓ plug in the given side lengths
\(\dfrac{9}{72} = \dfrac{3x-20}{56}\)
↓ cross multiply
\(9(56) = 72(3x-20)\)
↓ apply the distributive property: a(b + c) = ab + ac
\(504 = 216x-1440\)
↓ add 1440 to both sides
\(1944 = 216x\)
↓ divide both sides by 216
\(9 = x\)
\(\boxed{x = 9}\)
A forester shows the accompanying histogram of tree diameters he used in analyzing 27 trees in a large woods that was for sale. Was he justified in using a Normal model to analyze the woods? Explain, citing some specific concerns
Choose the correct answer below
A. Yes, because the histogram is unimodal and symmetric.
B. No, because while the histogram is unimodal, it is not symmetric
C. No, because the histogram is not unimodal or symmetric.
D. No, because while the histogram is symmetric, it is not unimodal
Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.
A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.
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A data set is Normally distributed with a mean of 25 and a standard deviation of 8. If you calculate the standard score of every observation in this data set, the resulting scores will have a distribution that has
Answer:
The answer is "A mean of 0 and a standard deviation of 1".
Step-by-step explanation:
The standard answer of its following formula is calculated by:
\(\to z=\frac{X-\mu}{\sigma}\)
Its standard score relates to the sampling distribution with the normal distribution average standard variation of 0 and 1, correspondingly. The mean for a standard scoring is 0, and the normal deviation is 1. that's why the mean=0, standard deviation=1.
The distance between Manchester and Leicester is 105 miles c) what is the distance in km
Answer:
168.981
Step-by-step explanation:
105 miles to km is 168.9 km
or 169 if u want to round it to the nearest km
john plays basketball 3 out of the 7 days of the week. how many possible schedules are there to play basketball on wednesday or friday or both.
In 5 possible schedules, John can play basketball on Wednesday or Friday or both.
There are two possible scenarios:
1) John plays basketball on Wednesday only or Friday only, but not both.
- If John plays basketball on Wednesday, he has 2 options left to play on Friday (either play or not play), so there are 2 possibilities.
- If John plays basketball on Friday, he has 2 options left to play on Wednesday, so there are 2 possibilities.
Therefore, there are a total of 2+2=4 possibilities for playing basketball on either Wednesday or Friday, but not both.
2) John plays basketball on both Wednesday and Friday.
In this case, there are only 1 possibility.
So, the total number of possible schedules to play basketball on Wednesday or Friday or both is 4+1=5.
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In 5 possible schedules, John can play basketball on Wednesday or Friday or both.
There are two possible scenarios:
1) John plays basketball on Wednesday only or Friday only, but not both.
- If John plays basketball on Wednesday, he has 2 options left to play on Friday (either play or not play), so there are 2 possibilities.
- If John plays basketball on Friday, he has 2 options left to play on Wednesday, so there are 2 possibilities.
Therefore, there are a total of 2+2=4 possibilities for playing basketball on either Wednesday or Friday, but not both.
2) John plays basketball on both Wednesday and Friday.
In this case, there are only 1 possibility.
So, the total number of possible schedules to play basketball on Wednesday or Friday or both is 4+1=5.
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n - 10 + 9n - 3 = 10n - 13
How do you get that answer?
Answer:
10n=10n
Step-by-step explanation:
n-10+9n-3=10n-13
n+9n
10n-10-3=10n-13
-10-3
10n-13=10n-13
+13 +13
10n=10n
What are the domain and range of the function f(x)=√x-7+9?
domain: x2-7
range: 29
O domain: x27
range: 2-9
O domain: x27 >
range: 29
5
O domain: x29
range: y27
Answer:
3rd one is the right answer
Step-by-step explanation:
start with main fn y = √x
vertex: 0 and 0
domain : 0 to positive infinity
range : 0 to positive infinity
then fn y = √x-7 which means shifting the main fn graph to the new vertex: (7,0) so now
domain: 7 to positive infinity
range : 0 to positive infinity
finally, now we have the fn y = √x-7 +9
which means shifting the second graph to the new vertex (7,9) so now
new domain: 7 to positive infinity
new range: 9 to positive infinity
if you need graph drawings tell me in the comments & hope this help you
The domain of function is,
⇒ x ≥ 7
And, Range of the function is,
⇒ y ≥ 9
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = √(x - 7) + 9
Now, The domain of function is,\
⇒ f (x) = √(x - 7) + 9
⇒ √(x - 7) + 9 ≥ 0
⇒ √ x - 7 ≥ 0
⇒ x - 7 ≥ 0
⇒ x ≥ 7
And, Range of the function is,
⇒ y ≥ 9
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help plssssssssssssssss
Answer:
4/5
Step-by-step explanation:
From point (-2,0) to point (3,4).
Rise is 4, Run is 5
Answer:
slope: 4/5
Step-by-step explanation:
(-2,0)&(3,4)
\(slope:\frac{y_{2-x_y{2}} }{x_{2-x_x{1} } }\)
\(=\frac{4-0}{3-(-2)} \\\\=\frac{4}{3+2} \\\\slope: \frac{4}{5}\)
hope it helps..
have a great day!!
work out the total surface area of the pyramid
The total surface area of the pyramid is 335 square centimeters
How to determine the total surface areaThe formula for determining the total surface area of a pyramid is expressed as;
TSI = 1/2(PI) + B
Given that;
TSI is the total surface area of the pyramidP is the base perimeter of the pyramidI is the slant height of the pyramidB is the base area of the pyramidNow, let's determine the base perimeter
Perimeter = 2( l + w)
Substitute the values
Perimeter = 2 ( 8 + 12)
Perimeter = 40 centimeters
The base area is given as;
Base area = 8(12)
Base area = 96 square centimeters
Substitute the values, we have;
Total surface area = 1/ 2 (40)(12) + 96
Total surface area = 240 + 96
Total surface area = 335 square centimeters
Hence, the value is 335 square centimeters
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IIIIIIIIIII NEEEEEDDDDD HELPPPPP FASTTTTT!!!!!!!!!!!!! If a circle has a circumference of 60π, which equation shows the correct value for the radius, r?
we know that \(r\)
area of the circle is equal to
A= \(\pi\) × \(r^{2}\)
solve for \(r\)
\(r\) = \(\sqrt{\frac{A}{\pi } }\)
for A=60cm2
\(r\) = \(\sqrt{\frac{60}{\pi } cm}\)
we know that
\(\sqrt{60\\}\) = \(\sqrt{2^{4} }\) × 3 × 5
=2\(\sqrt{15}\)
so,
\(\sqrt{\frac{60}{\pi } }\) = 2 \(\sqrt{\frac{15}{\pi } }\)
2\(\sqrt{\frac{15}{\pi } } = 2\frac{\sqrt{15} }{\pi }\) × \(\frac{\sqrt{\pi } }{\sqrt{\pi } }\)
= 2 \(\frac{\sqrt{15\pi } }{\pi }\)cm
this means the answer is-
2 \(\frac{\sqrt{15\pi } }{\pi } cm\)
, leisan can drive 32 miles on every gallon of gasoline. if she fills up her tank for $2.39 per gallon, how much will it cost her to drive 448 miles?
Answer:
It will cost her $33.46
Step-by-step explanation:
She drives 32miles per gallon
In 448miles, she will use: (448 × 1)/32
= 14gallons
If a gallon costs $2.39
Then 14gallons will cost, 14×2.39
= $33.46
What is used to periodically check that a process is in statistical control?
a. sampling
b. scrap parts
c. the process is only measured in the beginning 100 percent inspection.
Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time
What is used to periodically check that a process is in statistical control?
a. sampling
b. scrap parts
c. the process is only measured in the beginning 100 percent inspection.
a. Sampling is used to periodically check that a process is in statistical control.
Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time. SPC involves collecting and analyzing data on the process, and using statistical methods to determine whether the process is in statistical control (i.e., producing consistent and predictable results) or is out of control (i.e., producing inconsistent or unpredictable results).
One way to monitor a process using SPC is to use sampling. This involves taking a sample of parts or products from the process at regular intervals, and measuring certain characteristics of the sample (such as dimensions, weight, or color). The data collected from the samples can then be analyzed using statistical methods to determine whether the process is in control or out of control.
If the data collected from the samples indicates that the process is out of control (i.e., producing inconsistent or unpredictable results), corrective action can be taken to bring the process back into control. By regularly monitoring and adjusting the process using SPC techniques like sampling, organizations can ensure that their processes are producing consistent and high-quality results.
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hen writing in row-reduced echelon form -15x-10y-20z=-6 9x+12y+30z=15 3x+2y+10z=6
The solution to the given system of equations is:
x = -4/7
y = -9/14
z = 18/7
To write the given system of equations in row-reduced echelon form, we will first need to convert the equations to an augmented matrix, and then use row operations to reduce the matrix to its row-reduced echelon form.
The augmented matrix for the given system of equations is:
| -15 -10 -20 | -6 |
| 9 12 30 | 15 |
| 3 2 10 | 6 |
We will now use row operations to reduce the matrix to its row-reduced echelon form:
Divide the first row by -15 to get a leading 1 in the first row:
| 1 2/3 4/3 | 2/5 |
| 9 12 30 | 15 |
| 3 2 10 | 6 |
Subtract 9 times the first row from the second row, and 3 times the first row from the third row:
| 1 2/3 4/3 | 2/5 |
| 0 2 6 | 3 |
| 0 -4/3 -2/3 | 18/5 |
Divide the second row by 2 to get a leading 1 in the second row:
| 1 2/3 4/3 | 2/5 |
| 0 1 3 | 3/2 |
| 0 -4/3 -2/3 | 18/5 |
Add 4/3 times the second row to the third row:
| 1 2/3 4/3 | 2/5 |
| 0 1 3 | 3/2 |
| 0 0 14/3 | 54/5 |
Divide the third row by 14/3 to get a leading 1 in the third row:
| 1 2/3 4/3 | 2/5 |
| 0 1 3 | 3/2 |
| 0 0 1 | 18/7 |
Subtract 3 times the third row from the second row, and 4/3 times the third row from the first row:
| 1 2/3 0 | -16/21 |
| 0 1 0 | -9/14 |
| 0 0 1 | 18/7 |
Subtract 2/3 times the second row from the first row:
| 1 0 0 | -4/7 |
| 0 1 0 | -9/14 |
| 0 0 1 | 18/7 |
The row-reduced echelon form of the given system of equations is:
| 1 0 0 | -4/7 |
| 0 1 0 | -9/14 |
| 0 0 1 | 18/7 |
So, the solution to the given system of equations is:
x = -4/7
y = -9/14
z = 18/7
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The total area of a cube is 1350 square inches. Find the dimensions of
this cube?
What is .75 as a fraction,percent and ratio?
Answer:
Fraction: 75/100
Percent: 75%
Ratio: 75:100
Jenny solved the equation 1 – (2x + 4) = –4x + 5. Her work is shown. 1 − ( 2 x + 4 ) = − 4 x + 5 Line 1: 1 − 2 x + 4 = − 4 x + 5 Line 2: 5 − 2 x = − 4 x + 5 Line 3: 2 x = 0 Line 4: x = 0 What is the correct solution to the equation 1 – (2x + 4) = –4x + 5? Re-solve the equation to find the correct solution.
Answer:
4Step-by-step explanation:
Given the equation 1 – (2x + 4) = –4x + 5, we are to find the correct solution of the equation;
Step 1: Open the parenthesis;
1 – (2x + 4) = –4x + 5
1-2x-4 = -4x + 5
1-4-2x = -4x +5
-3-2x = -4x + 5
Step 2: Collect like terms
-2x + 4x = 5 + 3
2x = 8
Step 3: divide both sides by 2;
2x/2 = 8/2
x = 4
Hence the correct value of x is 4
The measure of one EXTERIOR angle of a regular
polygon is 13.8 degrees. How many sides does it have?
The number of sides of the regular polygon is 26
The formula for calculating the exterior angle of a regular polygon is expressed as:
Exterior angle of a polygon = 360 ÷ number of sides.
Given the following:
Exterior angle of a regular polygon = 13.8 degrees
Required
Number of sides
Substitute the given parameters into the formula as shown:
Exterior angle of a polygon = 360/13.8
Exterior angle of a polygon = 26.08
This means that the number of sides of the regular polygon is 26
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8-42. Examine the diagram at right. Given that ()/(_(()/())ABC)~()/(_(()/()))=EDF, is ()/(_(()/())DBG) is isosceles? Prove your answer. Use any format of proof that you prefer. Homework Help
Triangle DBG is isosceles and BD = BG.
What is Triangle?A triangle is a closed two-dimensional geometric shape with three straight sides and three angles. It is one of the basic shapes in geometry and has a wide range of applications in mathematics, science, and engineering.
To prove that triangle DBG is isosceles, we need to show that BD = BG.
First, we can use the given similarity to find the length of DF in terms of EB and EC. Since triangle ABC is similar to triangle EDF, we have:
AB:BC = ED:DF
Substituting the given values, we get:
2:3 = ED:DF
Multiplying both sides by DF, we get:
DF = (3÷2)ED
Next, we can use the fact that triangles EDF and EBG are similar (since they share angle E) to find the length of BG in terms of EB and DF:
ED/EB = BG/DF
Substituting the value we found for DF, we get:
ED/EB = BG/(3/2)ED
Multiplying both sides by (3/2)ED, we get:
BG = (3/2)ED²/ EB
Now we can use the Pythagorean theorem to find the lengths of BD and BG in terms of EB and EC:
BD² = BE² + ED²
BG² = BE² + EG²
Since EG = EC - BD, we can substitute BD = EC - EG in the first equation to get:
BD² = BE² + ED² = BE² + (3/2)ED²
Substituting the expression we found for BG in terms of ED and EB in the second equation, we get:
BG² = BE² + (3/2)ED²/EB² * BE²
Simplifying this expression, we get:
BG² = BE²(1 + 3ED²/2EB²)
Since we know that ED/EB = 2/3, we can substitute this value to get:
BG² = BE²(1 + (3/2)(4/9)) = BE²(25/18)
Therefore, we have:
BD² = BE² + (3/2)ED² = BE² + (3/2)(9/4)BE² = (15/8)BE²
BG² = BE²(25/18)
To show that BD = BG, we can compare the squares of these lengths:
BD² = (15/8)BE²
BG² = BE²(25/18)
Multiplying both sides of the first equation by 18/25, we get:
(18/25)BD² = (27/40)BE²
Substituting the expression for BG² in the second equation, we get:
(18/25)BD² = (27/40)BG²
Therefore, we have:
BD² = (27/40)BG²
Taking the square root of both sides, we get:
BD = (3/4)√(10) * BG
Substituting the expression we found for BG in terms of ED and EB, we get:
BD = (3/4)√(10) * (3/2)ED²/EB
Substituting the value of ED/EB = 2/3, we get:
BD = (3/4)√(10) * (3/2)(4/9)ED²
Simplifying this expression, we get:
BD = (2/3)√(10)ED²
Next, we can substitute the value we found for DF in terms of ED to get:
DF = (3/2)
Therefore, triangle DBG is isosceles and BD = BG.
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what is the critical value for 96 confidence interval for a sample size of 15
The critical t-value is approximately 1.753.
To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).
In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.
This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.
It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.
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Can someone please help me with this problem?
Answer: 18/9 if not it's something along that-
Step-by-step explanation:
7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-