Given the equation:
\(\frac{3}{4}x=15\)Dividing both sides by 3/4 gives:
\(x=\frac{15}{\frac{3}{4}}\)We can simplify furtherto obtain:
\(undefined\)Find the surface area
Answer: 120 yds
Step-by-step explanation:
48+30+24+18+120 yds
need to get this right
The diameter of the engine cylinder is written in the form
|d - 5| ≤ 0.005
How to select the better expressionTo represent the diameter of an engine cylinder with a tolerance of ±0.005 cm and a desired width of 5 cm, we can use an absolute value inequality.
The absolute value inequality representing the permissible limit of variation can be written as:
|d - 5| ≤ 0.005
where:
d represents the diameter of the engine cylinder.
In this inequality, the absolute value of the difference between the diameter (d) and the desired width (5 cm) must be less than or equal to the given tolerance of ±0.005 cm.
This means that the diameter of the engine cylinder can vary within ±0.005 cm of the desired width of 5 cm.
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Solve using the quadratic formula
Draw the base plan for the set of stacked cubes. Assume that no cubes are hidden form view.
Answer:
Given Figure has set of Stacked cubes.
To Draw the Base Plan, lets see its right side, Left Side and Front side view.
Right side:
It has 3 cubes in base.
2 cubes in 2nd layer clearly seen in figure and only 1 cube in 3rd layer.
Left Side:
It has 2 Cubes in base.
Both Cubes attached to 1st and 2nd cube of right side cubes.
Front Side:
It can be seen that, here base only has 2 rows of cubes.
Therefore, 1st Figure is correct Base Plan (or enclosed figure)
Note: Numbers in enclosed figure just shows the total no. of cubes in that stack.
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need help pleaseeeeeeeeee
The value g(7) of the function g(x) = 7 / 8 x - 1 / 2 is 45 / 8.
How to solve function?A function relates each element of a set with exactly one element of another set (possibly the same set).
In a simpler term, a function relates an input to an output.
Therefore, let's find the value of g(7) for the function below:
g(x) = 7 / 8 x - 1 / 2
Hence,
g(7) = 7 / 8 (7) - 1 / 2
g(7) = 49 / 8 - 1 / 2
g(7) = 49 - 4 / 8
Therefore,
g(7) = 45 / 8
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how much is one lollipop? 25 lollipops for $46.00?
Answer: $1.84
Step-by-step explanation: 46 / 25 = 1.84
Answer:
$1.84
Step-by-step explanation:
25 divide by $46.00 = $1.84
what are the steps to solve this
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance. Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for the two machines. Use a level of significance. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements? Click on the datafile logo to reference the data. (to 4 decimals) (to 4 decimals) (to 2 decimals) - Select your answer -
Answer:
There is a sufficient evidence to support the that machine 1 has the greater variance.
Step-by-step explanation:
The question with the complete details can be found online.
Start by stating the hypotheses.
The null hypothesis states that the variance of machine 1 is less than or equal to machine 2
So, we have:
\(H_o: \sigma_1 ^2 \le \sigma_2 ^2\)
The alternate hypothesis will then be:
\(H_a: \sigma_1 ^2 > \sigma_2 ^2\)
So, we have:
\(n_1 = 25\) \(n_1 = 22\)
Calculate the mean of Machine 1 and 2
The mean is:
\(\bar x =\frac{\sum x}{n}\)
For machine 1, we have:
\(\bar x_1 =\frac{2.95+3.45+3.5+.....+3.12}{25}\)
\(\bar x_1 =\frac{83.21}{25}\)
\(\bar x_1 =3.3284\)
For machine 2, we have:
\(\bar x_2 = \frac{3.22 + 3.3 + 3.34 + ..... +3.33}{22}\)
\(\bar x_2 = \frac{72.12}{22}\)
\(\bar x_2 = 3.2782\)
Calculate the standard deviation of both machines
The standard deviation is:
\(\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}\)
For machine 1, we have:
\(\sigma_1 = \sqrt{\frac{(2.95 - 3.3284)^2+(3.45 - 3.3284)^2+(3.5 - 3.3284)^2+.....+(3.12 - 3.3284)^2}{25-1}}\)
\(\sigma_1 = \sqrt{\frac{(2.95 - 3.3284)^2+(3.45 - 3.3284)^2+(3.5 - 3.3284)^2+.....+(3.12 - 3.3284)^2}{24}}\)
\(\sigma_1 = 0.2211\)
For machine 2, we have:
\(\sigma_2 = \sqrt{\frac{(3.22 - 3.2782)^2+(3.3 - 3.2782)^2+(3.44 - 3.2782)^2+.....+(3.33 - 3.2782)^2}{22-1}}\)
\(\sigma_2 = \sqrt{\frac{(3.22 - 3.2782)^2+(3.3 - 3.2782)^2+(3.44 - 3.2782)^2+.....+(3.33 - 3.2782)^2}{21}}\)
\(\sigma_2 = 0.0768\)
Calculate the degrees of freedom
\(df=n-1\)
For machine 1;
\(df_1=25-1=24\)
For machine 2
\(df_2=22-1=21\)
Calculate the test statistic (t)
\(t = \frac{Var_1}{Var_2}\)
Rewrite in terms of standard deviation
\(t = \frac{\sigma_1^2}{\sigma_2^2}\)
\(t = \frac{0.2211^2}{0.0768^2}\)
\(t = \frac{0.04888521}{0.00589824}\)
\(t = 8.2881\)
Lastly, calculate the p value.
This is the value of P(t > 8.2881) between the degrees of freedom i.e. 21 and 24
From the f distribution table
\(P(t > 8.2881) < 0.01\)
Hence, we reject the null hypothesis
If the center of the circle is Point A, what is the difference between the circumference of the circle and the perimeter of the triangle, to the nearest tenth of a unit?
A 20.6 units
B 28.2 units
C 80.7 units
D 95.5 units
The difference between the circumference of the circle and the perimeter of the triangle is 28.2 units. (Option B)
To find the length of each side of triangle, the distance is calculated between the vertices using the formula:
d = √((x2 – x1)^2 + (y2 – y1)^2)
Hence,
AB =√((-4 – 0)^2 + (9 – 0)^2) = 9.85 units
AC = √((9 – 0)^2 + (4 – 0)^2) = 9.85 units
BC = √((9 – (-4))^2 + (4 –9)^2) = 13.93 units
Hence, the perimeter of the triangle = 9.85 + 9.85 + 13.93 = 33.6 units
As AB and AC is the radius of the circle, the circumference of the circle is:
C = 2πr = 2π(9.85) = 61.8 units.
Hence, the difference between the circumference of the circle and the perimeter of the triangle = 61.8 – 33.6 = 28.2 units.
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The profit equation for the sale of pressure cookers for the company Kitchen Masters is PP = −120pp2 + 19,800pp − 727,450. Which of the following is a sale price for the immersion blenders, p, that will allow Kitchen Masters to achieve a profit, P, of $89,300?
Where the above factors are given, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.
Why is this so?The profit equation for the sale of pressure cookers for the company Kitchen Masters is:
P = −120p² + 19,800p − 727,450
To find the sale price for the immersion blenders, p, that will allow Kitchen Masters to achieve a profit, P, of $89,300,
Let the profit equation = 89,300.
Now, we solve for p:
89,300 = −120p² + 19,800p − 727,450
Adding 727,450 to both sides:
816,750 = -120p² + 19,800p
Dividing both sides by -120:
-6,805 = p² - 165p
Rearrange the equation to make it Quadratic
p² - 165p + 6,805 = 0
Now we can solve for p using the quadratic formula:
p = (-b ± √(b² - 4ac)) / 2a
where a = 1, b = -165, and c = 6,805.
p = (-(-165) ± √((-165)² - 4(1)(6,805))) / 2(1)
p = (165 ± √((27,225 - 27220)) / 2
p ≈ 83.618 or p ≈ 81.382
Therefore, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.
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Triangle XYZ is isosceles. Angle Y measures a°. Triangle X Y Z is shown. The lengths of sides Y X and Z X are congruent. Angle X Y Z is a degrees. What expression represents the measure of angle X? 2a StartFraction a Over 2 EndFraction 90 a 180 2a
Answer:
the answer is D.
Step-by-step explanation:
correct on edge
The expression which represents the measure of angle X is therefore; The angle x =180 - 2a.
Isosceles triangleAccording to the question;
Triangle XYZ is isosceles and Angle Y measures a°.The lengths of sides Y X and Z X are congruent.From the given information;
The measures of angle Y and Z = a.
The expression represents the measure of angle X is therefore; The angle x =180 - 2a.
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Part B
Write an expression that represents the net change in Rylee's bank account balance after paying for fuel at the gas station.
Answer:
Rylee spent $25 for fuel at the gas station. This money is leaving her bank account, so represent the amount with a negative sign: -$25.
Step-by-step explanation:
None. the expression explains it.
the sun was shining on the sea/shining with all his might
two figurative languages
Answer:
Im confused on what your asking
Step-by-step explanation:
Lucy is a teacher and takes home 83 papers to grade over the weekend. She can grade at a rate of 6 papers per hour. How many papers would Lucy have remaining to grade after working for 9 hours?
Answer: The horizontal axis is = 7 s per division
Complete the following statement. 3(4 x 8) (3 x4) (_)
Answer:
8
Step-by-step explanation:
(8*4)3=96
3*4=12
12*8=96
Is the enlargement shown below a dilation…. Please I need help ASAP
The perimeter of a rectangular pool is 580 yd if the length is 30 yd less than three times the width find the length and the width
Answer:
Step-by-step explanation:
2 L + 2 W = 580
W = L - 30
2( L - 30) + 2 L =580
2L - 60 + 2 L =580
4 L = 640
L = 160
W = 160-30= 130
160 × 2 + 130 × 2 = 580
PLEASE HELP ILL GIVE BRAINLIEST!! IGNORE THE 6 POINTS THATS JUST HOW MUCH THE QUESTION IS WORTH IN THE GRADEBOOK
Answer:
100 degrees
Step-by-step explanation:
The amount of flour needed for a recipe is proportional to the number of servings planned. Three servings require 4- 5 cups of flour. Write an equation to represent this relationship. Then identify the constant of proportionality and interpret its meaning.
The equation representing this relationship is y = 1.5x and the constant of proportionality is 1.5.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s. If both these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Given that, the amount of flour needed for a recipe is proportional to the number of servings planned.
If a variable x is proportional to the other variable y, then the equation representing the relation is y = kx.
Here y is the amount of flour required and x is the number of servings planned.
When y = 4.5, x = 3.
4.5 = 3k
k = 4.5 / 3 = 1.5
The equation is y = 1.5 x, which represents the relationship between the amount of flour required and the number of servings planned.
Constant of proportionality is 1.5.
This means that the ratio of the y to x is a constant and is equal to 1.5.
Hence the equation representing the situation is y = 1.5x.
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On January 1, 2021, Princess Corporation leased equipment to King Company. The lease term is 12 years. The first payment of $716,000 was made on January 1, 2021. The equipment cost Princess Corporation $5,188,466. The present value of the lease payments is $5,588,516. The lease is appropriately classified as a sales-type lease. Assuming the interest rate for this lease is 9%, how much interest revenue will Princess record in 2022 on this lease? (Round your answer to the nearest whole dollar amount.)
The amount of the interest revenue that Princess will record in 2022 on this lease is:$413,553.82.
Interest revenue
First step
Lease value payments after first payment:
Lease value payments= $5,588,516- $716,000
Lease value payments= $4,872,516
Second step
Lease value payments after second payment:
Lease value payments=$4,872,516+ ($4,872,516×9%) - $716,000
Lease value payments=$4,872,516+$438,526.44-$716,000
Lease value payments=$4,595,042.44
Third step
2022 Interest revenue=$4,643,787.6×9%
2022 Interest revenue=$413,553.8196
2022 Interest revenue=$413,553.82 (Approximately)
Therefore the amount of the interest revenue that Princess will record in 2022 on this lease is:$413,553.82.
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6 (n-3) - 2n = 10
Pleasee help
Answer: n = 7
(this website may help: https://www.symbolab.com/)
Step-by-step explanation:
What is the place or 2 in each of the following numbers 213,467
Answer:
hundred thousands is the right answer
Evaluate the given expression at x=−4.
3x2+9x+1
3 × 2 + 9(-4) +7
3 ×2 - 36 + 7
6 -36 +7
= -23
green foods purchases packages of noodles by the carton. each carton contains 36 packages and costs $43.20. green foods sells the noodles for $2.29 per package. what is the markup per carton?
Answer:
91% markup
Step-by-step explanation:
$43.20 divided by 36 is $1.20 per package
if Green Foods is selling one package for $2.29 then they are marking each package up by $1.19
if you take the difference of the per carton prices (82.44-43.20) and divide it by 43.20, you get a 91% markup
A kite is flying 82 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 61°. Find the length ofthe string. Round your answer to the nearest tenth.
Step 1: Draw the triangle.
Step 2: Concept
Use the trigonometric ratio to find the length of the string.
\(\begin{gathered} \sin \theta\text{ = }\frac{opposite}{\text{hypotenuse}} \\ \tan \theta\text{ = }\frac{\text{opposite}}{\text{adjacent}} \\ \cos \theta\text{ = }\frac{adjacent}{\text{hypotenuse}} \end{gathered}\)Step 3: Name the sides of the triangle
Hypotenuse = L side facing right angle
Opposite = 82 ft side facing given angle
Adjacent = ___ The third side.
Step 4: Apply the sine formula to find the length of the string.
\(\begin{gathered} \sin \theta\text{ = }\frac{Opposite}{\text{Hypotenuse}} \\ \sin 61\text{ = }\frac{82}{L} \\ 0.8746\text{ = }\frac{82}{L} \\ \end{gathered}\)Next, cross multiply
\(\begin{gathered} 0.8746L\text{ = 82} \\ \text{Divide through by 0.8746} \\ L\text{ = }\frac{82}{0.8746} \\ L\text{ = 93.8 ft} \end{gathered}\)Final answer
The length of the string = 93.8 ft
The system of equations y= -x - 1 is graphed. what is the solution to the system of equations ?
We solve as follows:
*First: Given one function, we corroborate and find the second one.
*We have that the first function passes by the points (0, -1) & (1, 0); we find its function:
\(m=\)Which model can be used to show the sum of one and two fifths plus one and two fifths
A number line from zero to four partitioned into fifths. There is one hop of one and two hops of one fifth from one and two fifths to two and four fifths.
A number line from zero to four partitioned into fifths. There are two hops of one and one hop of one fifth from one and one fifth to three and two fifths.
A number line from zero to one partitioned into fifths. There is a gray rectangle above the number line stretching from zero to one and two fifths. To the right is a lighter gray rectangle above the number line stretching from one and two fifths to three and three fifths.
A number line from zero to one partitioned into fifths. There is a gray rectangle above the number line stretching from zero to one and two fifths. To the right is a lighter gray rectangle above the number line stretching from one and two fifths to three and three fifths.
A, a number line from zero to four partitioned into fifths. There is one hop of one and two hops of one-fifth from one and two-fifths to two and four-fifths :)
Answer: it’s A. I think
Step-by-step explanation: I hope this helps!
If the area of a rectangle is x^2+13x+36 and the length is x+9 what is the width
Answer:
width = (x+4)
Step-by-step explanation:
Answer:
Width is x+4 units
Step-by-step explanation:
Since the area of a rectangle is length*width, then width=area/length:
-9 | 1 13 36
____-9 -36_
1 4 | 0
Therefore, the width of the rectangle is x+4 units
Evaluate each expression.
8/7 + 4/7
Answer:
1 4/7
Step-by-step explanation:
8/7 + 4/7 = 12/7. Simplified = 1 4/7
Answer:
1 5/7
Step-by-step explanation:
8+4=12
7 goes into 12 one time.
1 5/7
One circle has a circumference of 12pi cm. Another circle has circumference of 32pi cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle?
A. 3:8
B. 8:3
C. 1:3
D. 3.1
Answer:
A. 3:8
Step-by-step explanation:
Circumference of smaller circle = 12π cm
Circumference of larger circle = 32π cm
Formula for circumference = 2πr
✔️Radius (r) of smaller circle:
12 π = 2πr
Divide both sides by 2π
12π/2π = (2πr)/2π
6 = r
r = 6 cm
✔️Radius (r) of larger circle:
32 π = 2πr
Divide both sides by 2π
32π/2π = (2πr)/2π
16 = r
r = 16 cm
✔️Ratio of radius of smaller circle to the radius of leather circle:
6:16
Simplify
3:8