Answer:
The local DQ sold 308 sundaes in a month.
Step-by-step explanation:
The ratio of this is sundaes to blizzards, which is 4 sundaes to 7 blizzards.
The question we're asking is ? : 539.
We know that 4 : 7 is our ratio and the other one is as stated, ? : 539.
539 blizzards divided by 7 is 77.
Now if you multiply 4 by 77 it equals 308.
4 : 7 is equivelent to 308 : 539 (4 x 77 = 308 and 7 x 77 = 539)
So, the sundaes they sold is 308 sundaes.
Which one is correct about the nth term of a geometric sequence?
Answer:
d
Step-by-step explanation:
The first term is 'a'
then for the second term a r
third term = a r^(n-1)
etc
John ran up and $88 Bill last Saturday the service was excellent so we decided to leave a 30% tip for the waitress how much was his tip
$26.40
ten percent is 88 divided by 10= 8.8
8.8 multiplied by 3 is 26.40
How many servings of pizza will you have if 4 pizzas are sliced into 1/6 servings?
Answer:
24 servings
Step-by-step explanation:
so if you have 4 pizzas and they are sliced into 6 pieces you multiply 4 times 6 so you get 24 servings
Answer:
24 servings. 4x6=24
Step-by-step explanation:
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. A random sample of 36 stores this year shows mean sales of 83 units of a small appliance with a standard deviation of 5 units. During the same point in time last year, a random sample of 49 stores had mean sales of 78 units with standard deviation 3 units.Required:Construct a 95 percent confidence interval for the difference in population means.
Answer:
The 95% confidence interval for the difference in population means is (−26.325175 , 36.325175)
Step-by-step explanation:
Given that :
sample size n₁ = 36
sample mean \(\over\ x\)₁ = 83
standard deviation \(\sigma\)₁ = 5
sample size n₂ = 49
sample mean \(\over\ x\)₂= 78
standard deviation \(\sigma\)₂ = 3
The objective is to construct a 95% confidence interval for the difference in the population means
Let the population means be \(\mu_1\) and \(\mu_2\)
The 95% confidence interval or the difference in population means can be calculated by using the formula;
\((\overline{x_1} - \overline{x_2}) \pm t_{\alpha /2} \ \times s_{p}\)
where;
the pooled standard deviation \(s_{p} = \dfrac{(n_1-1)s_1^2+(n_2-1)s^2_2}{n_1+n_2-2}\)
\(s_{p} = \dfrac{(36-1)5^2+(49-1)3^2}{36+49-2}\)
\(s_{p} = \dfrac{(35)25+(48)9}{83}\)
\(s_{p} = \dfrac{875+432}{83}\)
\(s_{p} = \dfrac{1307}{83}\)
\(s_p\) = 15.75
degree of freedom = \(n_1 +n_2 -2\)
degree of freedom = 36+49 -2
degree of freedom = 85 - 2
degree of freedom = 83
The Critical t- value 95% CI at df = 83 is
t critical = T.INV.2T(0.05, 83) = 1.9889
Therefore, for the population mean , we have:
= (83 - 78) ± (1.9889 × 15.75)
= 5 ± 31.325175
= 5 - 31.325175 , 5 + 31.325175
= (−26.325175 , 36.325175)
Find the distance between ( -3,4) and (2,-4)
Answer: exact form: √89 decimal form: 9.43398113…
Step-by-step explanation:
the distance between (-3,4) and (2,-4) is
exact form: √89 decimal form: 9.43398113…
6(31)+6(4)-6(15) mental math form
\(6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120\)
ok done. Thank to me :>
help me pls (: l: ):
Fraction: 5/10
Demical: 0.5
Percent: 50%
3.
Find the angle to the
nearest degree (whole
number).
15
17
The angle is 62°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
We can write as,
Sin Ф= 15/17
Ф = \(sin^{-1}\) (15/17)
Ф = \(sin^{-1}\) 0.8823
Ф = 61.92°
Ф = 62°
Thus,
The angle is 62°.
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what is the equation of aline that passes through the point (4,-8) and has a slope of -1/2?
Answer:
The equation of the line will be:
\(y=-\frac{1}{2}x-6\)
Step-by-step explanation:
Given
slope = m = -1/2point (4, -8)Point slope form:
\(y-y_1=m\left(x-x_1\right)\)
substituting the values m = -1/2 and the point (4,-8)
\(y-\left(-8\right)=\frac{-1}{2}\left(x-4\right)\)
\(y+8=\frac{-1}{2}\left(x-4\right)\)
subtract 8 from both sides
\(y+8-8=\frac{-1}{2}\left(x-4\right)-8\)
\(y=-\frac{1}{2}x-6\)
Therefore, the equation of the line will be:
\(y=-\frac{1}{2}x-6\)
HALPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
1. 350
2. 70
3. 130
4. 7.2
Step-by-step explanation:
1. 350 ÷ 10 = 35
2. 70 - 5 = 65
3. 65 x 2 = 130
4. 7.2 x 10 = 72
Find the value of f(4) for the function.
f(x)=−3(x+3)
Answer:
Step-by-step explanation:
f(4)=-3(4+3)
do distributive i think, and if that doesnt work then add 4+3 first and then multiply by -3
Answer:
-21
Step-by-step explanation:
4 plus 3 equals 7. 7 times -3 is -21. I could be wrong but I believe it is the correct answer.
On a test that has a normal distribution, a score of 29 falls three standard deviations above the mean, and a score of 23 falls one standard deviation above the mean. Determine the mean of this test.
The mean of the test is 20.
To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.
Let's denote the mean of the test as μ, and the standard deviation as σ.
We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:
29 = μ + 3σ
Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:
23 = μ + σ
Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.
From the second equation, we can isolate μ:
μ = 23 - σ
Substituting this value into the first equation, we have:
29 = (23 - σ) + 3σ
Simplifying the equation, we get:
29 = 23 + 2σ
2σ = 29 - 23
2σ = 6
σ = 3
Substituting the value of σ back into the second equation, we find:
μ = 23 - 3
μ = 20
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We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
By answering the presented question, we may conclude that In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.
what is a square?According to Euclidean geometry, a square is an equilateral quadrilateral having four equal sides and four equal angles. It is often referred to as a rectangle with two nearby sides of equal length. A square is an equilateral quadrilateral because it has four equal sides and four equal angles. Square angles are 90-degree or straight angles. Also, the diagonals of the square are evenly spaced and divide at a 90-degree angle. an adjacent rectangle with two equal sides. a quadrilateral with four equal-length sides and four right angles. A parallelogram with two adjacent, equal sides forming a right angle. A rhombus with straight sides.
To determine the answer, multiply the areas of the shaded squares by the overall area of the figure.
Assuming that both squares are the same size, we may combine the fractions using a common denominator:
2/12 + 2/15 = 5/60 + 4/60 = 9/60 = 3/20
As a result, the entire shaded area is 3/20 of the total area of the diagram.
We can't discover the exact area of the graphic because it's not presented. As a result, we can only represent the answer in fractions or decimals.
In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.
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PLEASE HELPPP ITS TIMED Consider the following functions. f(x) = x2 – 4 g(x) = x – 2 What is (f(x))(g(x))? a.(f(x))(g(x)) = x + 2; x ≠ 2 b.(f(x))(g(x)) = x + 2; all real numbers c.(f(x))(g(x)) = x3 – 2x2 – 4x + 8; x ≠ 2 d(f(x))(g(x)) = x3 – 2x2 – 4x + 8; all real numbers
Answer:
d(f(x))(g(x)) = x3 – 2x2 – 4x + 8; all real numbersStep-by-step explanation:
(f(x))(g(x)) = (x²- 4)*(x-2) =x³ - 2x² - 4x + 8Choice d. is correct
a.(f(x))(g(x)) = x + 2; x ≠ 2 incorrectb.(f(x))(g(x)) = x + 2; all real numbers incorrectc.(f(x))(g(x)) = x3 – 2x2 – 4x + 8; x ≠ 2 incorrectd(f(x))(g(x)) = x3 – 2x2 – 4x + 8; all real numberscorrectAnswer:
D
Step-by-step explanation:
whats 5x5? Maybe will mark brainiest
Answer:
25
Step-by-step explanation:
5x5 = 25
Answer:
25
Step-by-step explanation:
Let's go through our times tables really quick!
5x1 = 5 (5 + 0)
5x2 = 10 (5 + 5)
5x3 = 15 (5 + 5 + 5 [10 + 5])
5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)
As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5
So, 5x5 is 25
Hope this helped!
Chanise has the following utility function...
Using operations, we can find that Chanise maximizes utility when she consumes 14 Blue-ray disks and 4 DVDs.
What are mathematical operations?What are the four fundamental operations in mathematics? Addition, subtraction, multiplication, and division are the four fundamental mathematical operations.
Here in the question,
The equation we have is:
U(x,y) = 10x²y
Given,
The value of one Blue-ray disk = $20
The value of one DVD = $5
The total amount she has to spend is = $300
Now, we can see that the value of U(x,y) is highest when we have,
14 Blue-ray disks and 4 DVDs.
Therefore, Chanise maximizes utility when she consumes 14 Blue-ray disks and 4 DVDs.
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The correct statement is the center of the circle does not lie on the x-axis or the y-axis.
Given the equation of a circle, x² + y² – 2x – 8 = 0. Transform this equation in standard form of equation of circle
The standard form of the equation is (x – 1)² + y² = 8, and the radius of this circle is not the same as the radius of the circle whose equation is x² + y² = 9. Also, the center of the circle does not lie on the x-axis or the y-axis.
Therefore, the correct statement is the center of the circle does not lie on the x-axis or the y-axis.
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please help me ! scammers will be reported !
Answer:
50% I think
Step-by-step explanation:
Each square has a side length of 12 units. Compare the areas of the shaded regions in the 3 figures. Which figure has the largest shaded region? Explain or show your reasoning.
Answer:
The shaded region in all of the answers are equal.
Step-by-step explanation:
Since squares have equal sides, the area of each square is 12 squared or 144.
The area of the circle in A is pi*radius squared. The diameter is 12, because that is the side length of the square. This means the radius is 6 because the radius of a circle is always half the diameter. So, the area equals 36pi.
The area of the shaded region of A is 144-36pi.
In B, the diameter of each circle is half of what it was in the circles in answer A. So, the diameter is 6 and the radius is 3. The area of each circle is 9pi, and 9 pi * 4 circles is 36pi.
The area of the shaded region of B is 144-36pi.
In C, the diameter of each circle is a third of what it was in the circles in answer A. So, the diameter is 4, and the radius is 2. The area of each circle is 4pi, and 4pi * 9 circles is 36pi.
The area of the shaded region of C is 144-36pi.
A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copy editing, typesetting, and so on) at $51,000, and variable costs (printing, paper, binding, shipping) at $1.50 for each book produced. If the book is sold to distributors for $12 each, how many must be produced and sold for the publisher to break even?
The publisher must produce and sell approximately 4,857 books to break even.
Let's denote the number of books produced and sold as "x."
The total fixed cost is given as $51,000.
The variable cost per book is $1.50, and since x books are produced and sold, the total variable cost would be 1.50x.
The selling price per book is $12, and since x books are sold, the total revenue would be 12x.
To break even, the total revenue must equal the total cost:
Total Revenue = Total Cost
12x = 51,000 + 1.50x
Subtracting 1.50x from both sides:
12x - 1.50x = 51,000
10.50x = 51,000
Dividing both sides by 10.50:
x = 51,000 / 10.50
x ≈ 4,857
Therefore, the publisher must produce and sell approximately 4,857 books to break even.
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Diego's goal is to walk more than 70,000 steps this week. The mean number of steps that Diego walked during the first 4 days of the week is 8,019.If the mean number of steps Diego walks during the last 3 days of the week is 12, 642, will Diego reach his goal of walking more than 70,000 steps this week? Explain your reasoning.
Solution
Diego goal was walk more than 70000 steoes
And in average in the first 4 days he walks 8019 steps
The expected mean number of steps for the next 3 days is 12642 then we can do this:
8019*4 + 12642*3= 32076 +37926 = 70002
then since 70002 > 70000
We can conclude that Diego can reach the goal for this case
£5-2 x 0.81=
Answer for school and explanation please. would be great help
Answer:
3.38
Step-by-step explanation:
first do the multiplication
2×0.81
= 1.62
then the subtraction
5- 1.62= 3.38
What is the translation from
a) shape X to shape Z?
b) shape Z to shape X?
The translation form of each shape is given as follows:
a) X to Z: (x, y) -> (x + 5, y + 2).
b) Z to X: (x, y) -> (x - 5, y - 2).
What are the translation rules?The four translation rules are defined as follows:
Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.For the composition of translations, we add the coordinates, hence:
-2 + 7 = 5.5 - 3 = 2.Hence the rule from X to Z is given as follows:
(x, y) -> (x + 5, y + 2).
From Z to X, we have the inverse rule, hence:
(x, y) -> (x - 5, y - 2).
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Edwin sells jars of jam for $1.90 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $1.10 and fixed expenses are $35,700.00 per year.
Edwin needs to sell 44,625 jars of jam to break even.
To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:
Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)
Given information:
Selling Price per Unit (SP) = $1.90
Variable Cost per Unit (VC) = $1.10
Fixed Expenses = $35,700.00 per year
Plugging in the values into the formula:
Breakeven Point = $35,700 / ($1.90 - $1.10)
Breakeven Point = $35,700 / $0.80
Breakeven Point = 44,625 jars
Therefore, Edwin needs to sell 44,625 jars of jam to break even.
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Please I need help if it true or false please
Including a 9% sales tax, an inn charges $153.69 per night. Find the inn's nightly cost before tax is added.
Please help
Answer:
$139.86
Step-by-step explanation:
First, change 9% to a decimal
9% to 0.09
Then times the night cost and tax
153.69 x 0.09 = 13.8321
Make sure to round the result to the hundredths place.
So,
$13.83 is our sales tax.
Now subtract the night cost and the sales tax
153.69 - 13.83 = 139.86
139.86 is the nightly cost
what steps are needed to find the equation of a line given the graph?
The equation of the line is y = x.
To find the equation of a line given its graph, you need to follow the steps below.
Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.
Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.
Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.
Example:Let's say you are given the graph of a line below: .
Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.
Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.
Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.
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Which Stem-and-Leaf Plot matches the information presented in the line graph below?
Answer:
B
Step-by-step explanation:
The plots on the graph show:
91, 97, 102, 103, 104 and 115
This goes with the Stem-and-Leaf Plot B
The temperature at 7:00 a.m. was -5°F. By 4:00 p.m., the temperature had risen 9
degrees and by 10:00 p.m. the temperature dropped 11 degrees. What was the
temperature at 10:00 pm?
4°F
- 16°F
O
-7°F
25°F
Answer:
The answer is -7 degrees. :)
Step-by-step explanation:
-5+9-11=7
Answer:
I would say -7 degrees
Step-by-step explanation: