Answer:
4x+y
Step-by-step explanation:
Sasha's mom is ordering food trays for Sasha's elementary school graduation party. Banquet Brothers sells a tray with 48 servings of pasta for $60. Cookin' Catering sells a tray with 30 servings of pasta for $72. Which company has the better deal?
Answer:
The company with the better buy is BANQUET BROTHERS
Step-by-step explanation:
you do even have to find the unit price...
if the "bb" sells 1 tray for $60 and the tray includes 48 servings,
while the "cc" sell 1 tray for $72 for only 30 servings just compare
60 _ 72
30 _ 48
awnser
60 < 72
30 < 48
:)
Answer:
Step-by-step explanation:
you have to divide 48 by 60 and then divide 30 by 72 and see whitch is greater
Hope It Helps
1. A cone is 8cm high and has a base diameter of 12cm.its slant height is a.6cm b.8cm c.10cm d.12cm
Answer:
10
Step-by-step explanation:
it is Pythagoras theorem
6*6=36
8*8=64
64+36=100
square root of 100 is 10
A circle centered at (–1, 2) has a diameter of 10 units. Amit wants to determine whether (2, –2) is also on the circle. His work is shown below.
The radius is 5 units.
Find the distance from the center to (2, –2).
StartRoot (negative 1 minus 2) squared + (2 minus (negative 2)) squared EndRoot. StartRoot (negative 3) squared + (0) squared EndRoot = 3.
The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.
Is Amit’s work correct?
No, he should have used the origin as the center of the circle.
No, the radius is 10 units, not 5 units.
No, he did not calculate the distance correctly.
Yes, the distance from the center to (2, –2) is not the same as the radius.
Answer:
3rd
C
Explanation:
Amit's mistake : The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.
The point (2,-2) is on the circle, and Amit's claim is wrong
How to determine if Amit's work is correct?The given parameters are:
Center = (-1,2)
Diameter = 10 units
Point = (2,-2)
Start by calculating the radius, r
r = diameter/2
r = 10/2
r = 5
Next, calculate the distance from the point to the center using:
\(r = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}\)
This gives
\(r = \sqrt{(2 + 1)^2 + (-2-2)^2}\)
Evaluate
r = 5
The distance from the center to the point equals the radius of the circle
Hence, the point is on the circle, and Amit's claim is wrong
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a clerk spent his 35-hour workweek as follows: 1/5 of his time in sorting mail; 1/2 of his time in filing letters; and 1/7 of his time in reception work. the rest of his time was devoted to messenger work. the percentage of time spent on messenger work by the clerk during the week was most nearly? the answer is 6% spent on messenger work by the clerk during the week.
The clerk actually spent approximately 15.71% of his time on messenger work during the week.
The clerk spent 1/5 of his time sorting mail, which is equal to 7 hours (1/5 x 35 hours). He also spent 1/2 of his time filing letters, which is equal to 17.5 hours (1/2 x 35 hours). Additionally, he spent 1/7 of his time in reception work, which is equal to 5 hours (1/7 x 35 hours).
To find the amount of time he spent on messenger work, we can subtract the total time spent on sorting mail, filing letters, and reception work from the total 35-hour workweek:
35 hours - 7 hours - 17.5 hours - 5 hours = 5.5 hours
Thus, the clerk spent 5.5 hours on messenger work during the week. To find the percentage of time he spent on messenger work, we can divide this amount by the total number of hours worked and multiply by 100:
(5.5 hours / 35 hours) x 100% ≈ 15.71%
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f(x) = x2 1 g(x) = 5 – x (f g)(x) = x2 x – 4 x2 x 4 x2 – x 6 x2 x 6
The composition \((f \cdot g)(x\)) of the functions \(f(x) = x^2\) and \(g(x) = 5 - x\) is given by \((f \cdot g)(x) = (x^3 - 4x^2) / ((x - 3)(x - 2))\). It represents the combined effect of applying g(x) to the input of f(x).
To simplify the expression \((f\cdot g)(x)\), we substitute g(x) into f(x) and perform the necessary algebraic manipulations.
Expanding the numerator, we have \(x^3 - 4x^2\).
Factoring the denominator, we have \((x - 3)(x - 2)\).
Therefore, the simplified expression is \((f \cdot g)(x) = (x^3 - 4x^2) / ((x - 3)(x - 2))\).
This represents the composition of the functions f(x) and g(x). It describes the combined effect of applying g(x) to the input of f(x).
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Which linear equation shows a proportional relationship?
y equals two thirds times x
y equals negative 3 times x minus one seventh
y equals three fourths times x minus 5
y equals 3 times x plus 7
The first equation, y equals two thirds times x, shows a proportional relationship because the ratio of y to x is constant.
What is ratio?Ratio is a numerical comparison of two or more values. It is a mathematical expression that shows the relationship between two or more quantities. Ratios are used to compare the relative size of two or more values, to measure changes over time, to quantify proportions, and to evaluate relationships between sets of data. In some cases, ratios can also be used to compare absolute values. Ratios are often expressed in the form of fractions, although they can also be expressed as decimals or percentages. Ratios can be used to compare two or more items or groups of data, and can be expressed as a single number or in a range of numbers.
This means that as x increases, y will increase at the same rate. Similarly, as x decreases, y will decrease at the same rate.
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Hey could y’all please help me with this question
The required cost of each shirt is $21.28.
What is Equation?A mathematical statement known as an equation is made up of two expressions joined together by the equal symbol. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the quantity x is 7.
According to question:The total cost of 3 identical shirts, including shipping, is $71.83. So we can write the equation as:
3s + 7.99 = 71.83
To solve for the cost of each shirt, we need to isolate the variable "s" on one side of the equation. We can start by subtracting 7.99 from both sides:
3s = 63.84
Then, we can divide both sides by 3:
s = 21.28
Therefore, the cost of each shirt is $21.28.
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Why does a plasmid that is going to be used in both yeast and bacteria need to have two different selection markers? Select ALL that apply. The same selection (e.g. presence of an antibiotic) may not work for both hosts. Having more genes makes the plasmid bigger and thus easier to work with and maintain. In cases where the same selection can be used in both hosts, two selection markers are still needed because bacteria and yeast recognize different promoters The codons used by bacteria correspond to different amino acids than they do in yeast.
A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.
When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.
Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.
In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.
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Solving system of equations by elimination
-4x+9y=9
x-3y=-6
Step-by-step explanation:
I hope this helps..........
PLEASEEE HELPPPP!!! ASAPPP THIS IS A TIMED TESTTT!! *look at the picture*
Answer:
x=12
Step-by-step explanation:
Is 0.6 a rational number
Answer:
No
Step-by-step explanation:
Because rational numbers are whole numbers such as 1,2,3. And rational numbers are not fractions or decimals.
Which statement corrects the error, or errors, in this definition?In a dilation, each point in the pre image and it’s corresponding point in the image are at equal distances from the given line. Also the line segment joining two such points is perpendicular to the given line.A. The dilation is correctB. A dilation is when a object moves in a circular arc around a pointC. A dilation properly stretches or compresses an object based on a given scale factor D. A dilation moves points a specified distance along a line parallel to a specified line
Remember that a dilation stretches or compresses an object based on a given scale factor, therefore, the correct option is C
A rectangle is inscribed in a parabola y^2 = 16x with the side of the rectangle along the latus rectum of the parabola. If the area of the rectangle is maximized, compute its perimeter.
a. 24.63
b. 13.69
c. 14.57
d. 20.69
The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.
To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.
The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).
To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.
Comparing the two equations, we get:
4a = 16
a = 4
Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.
Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.
Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.
Substituting x = 8 into the equation of the parabola, we get:
\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)
Therefore, the width of the rectangle is approximately 11.31 units.
The perimeter of the rectangle is given by the formula:
Perimeter = 2(length + width)
Plugging in the values, we have:
Perimeter = 2(16 + 11.31)
Perimeter ≈ 2(27.31)
Perimeter ≈ 54.62
Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.
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models that are based on mathematic formula are called _____ models.
Symbolic models are those that are based on mathematical formulas.
By symbolic model, what do you mean?The goal of symbolic modelling is to help clients become more aware of their own "symbolic domain of experience," allowing them to create their own "metaphor landscape" and explore internal metaphors, which are believed by conceptual metaphor theory to influence behaviour.
What benefits do symbolic models offer?
One of the most significant and defining technologies of next-generation modelling methodologies is swiftly emerging as symbolic computation. It allows the freedom to easily create model equations, manage models more effectively, and reach the best outcomes more quickly.
Describe domain through an example.
the domain name example.com might be connected to the address 198.102. 434.8.
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consider an undirected graph that has 100 vertices. for any pair of vertices, only 1 edge can connect them. in other words, you cannot have 2 edges connecting vertex a directly to vertex b. also assume that there are no self-loops, i.e. an edge that goes from vertex a to vertex a. what is the maximum number of edges that can be in this specific graph?
So the maximum number of edges in an undirected graph with 100 vertices is 4950.
In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.
In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:
n * (n-1) / 2
Substituting n = 100, we get:
100 * 99 / 2 = 4950
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A fence was installed around the edge of a rectangular garden. The length, 1, of the fence was 5 feet less than 3 times its width, w. The amount of fencing used was 90 feet. Write a system of equations or write an equation using one variable that models this situation. Determine algebraically the dimensions, in feet, of the garden.
The dimensions of the garden are 12.5 feet by 30.5 feet.
To model this situation, we can use two equations. Let the width of the rectangular garden be w feet and the length be l feet.
Then:We know that the perimeter of the garden is 90 feet because the amount of fencing used was 90 feet.Perimeter = sum of all sides2(l + w) = 90Divide both sides by 22(l + w)/2 = 45l + w = 45Now,
we also know that the length of the fence, 1, was 5 feet less than 3 times the width,
w.l = 3w - 5Substitute this equation for l in the first equation:3w - 5 + w = 45Simplify:4w - 5 = 45
Add 5 to both sides :4w = 50Divide both sides by 4:w = 12.5
Now that we know the width of the garden is 12.5 feet, we can use the equation for l to find the length:l = 3w - 5l = 3(12.5) - 5l = 30.5
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a) prove that there exists an s such that for any r > s there exists an m 2 n such that for all n m we have xn < r.
Hence the given statement that there exists an s such that for any r > s there exists an m 2 n such that for all n m we have x n < r is proved.
What is non-decreasing sequence?
Non-decreasing sequences are a generalization of binary covering arrays, which has made research on non-decreasing sequences important in both math and computer science.
Proof:
For n 2 N, let s = sup x n.
Then, there exists a m 2 N such that x m r for any r > s.
Given that x n is a non-decreasing sequence, we get x n r for any n > m.
As a result, there is a m 2 N such that for any n > m, x n r for any r > s.
Hence proved.
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using compound interest, how long does it take to double a 1000 dollar investment that pays 6.5% annual interest, compounded monthly?
Answer:
11 years approx
Step-by-step explanation:
Given data
P=$1000
A=2000
R=6.5%
T= ?
Calculate time, solve for t
t = ln(A/P) / r
substitute
t=ln(2000/1000)/0.065
t=ln(2)/0.065
t=0.693/0.065
t=10.66
Hence the time is 11 years approx
Strontium-90 has a half-life of 28.1 years. How many years will it take for a sample of Strontium-90 to decay to 25% of its initial quantity
It will take 56.2 years for Strontium-90 to decay to 25% of its initial quantity, when it has a half-life of 28.1 years.
The half life of an element is the time period in which it decomposes to half of itself.
The formula used is:
\(N(t) = N_0 (\frac{1}{2} )^{\frac{t}{t_{1/2} }}\),
where, N(t) is the final quantity of the element after time t, with the initial quantity was N₀, and \(t_{1/2}\) is the half life of that element.
In the question, we are given that Strontium-90 has a half-life of 28.1 years.
Thus, \(t_{1/2}\) = 28.1 years.
We are asked the time (t), it will take for a sample of Strontium-90 to decay to 25% of its initial quantity.
We assume the initial quantity to be N₀.
The final quantity N(t) is 25% of the initial quantity.
Thus, N(t) = 25% of N₀ = 25/100 * N₀ = N₀/4.
Substituting all the values in the formula, we get:
\(N(t) = N_0 (\frac{1}{2} )^{\frac{t}{t_{1/2} }}\\\Rightarrow N_0/4 = N_0(\frac{1}{2} )^{\frac{t}{28.1} }}\\\Rightarrow \frac{N_0/4}{N_0} = (\frac{1}{2} )^{\frac{t}{28.1} }}\\\Rightarrow \frac{1}{4} = (\frac{1}{2} )^{\frac{t}{28.1} }}\\\Rightarrow (\frac {1}{2})^2 = (\frac{1}{2} )^{\frac{t}{28.1} }}\\\Rightarrow \frac {t}{28.1} = 2\\\Rightarrow t = 28.1*2 = 56.2\)
Thus, it will take 56.2 years for Strontium-90 to decay to 25% of its initial quantity, when it has a half-life of 28.1 years.
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Answer:
56.2 years is correct for plato
Step-by-step explanation:
took the test
3. What is the domain of the relation below?
A. All real numbers greater than or equal to 0.
B. All real numbers.
C. All real numbers between -6 and 4.
D. All real numbers greater than -2.
Answer:
C
Step-by-step explanation:
In the similar triangles below, what is the measure of the angle C
Step 1:
Similar triangles are triangles that have the same shape, but different sizes. The corresponding angles are congruent and the sides are in proportion. Corresponding angle are angles in two different triangles that are “relatively” in the same position.
Step 2
Angle A is congruent to angle D
Angle B is congruent to angle E
Angle C is congruent to angle F.
Final answer
The measure of the angle C = 63
Li has to read four books from a list of 10 books. how many sets of four books can be made?
Answer:
2 sets
Step-by-step explanation:
we have to divide 4 into 10...
so 10 books / 4 groups equals 2 with a remainder of 2. each set needs to have exactly 4 books... so there would be 2 sets.
Answer:
its 7 not 2
Step-by-step explanation:
because
im right
Select the correct answer.
Which graph shows a quadratic equation with complex roots?
Answer:
Step-by-step explanation:
GraphA shows the quadratic equation with complex roots.
Answer:
Step-by-step explanation:
(show ur work) A store had pears on sale for $1.50 a pound. Roberta spent $11.25. on pears. How many pounds did she buy?
Answer:
$11.25
Step-by-step explanation:
The most important part of this equation is $1.50 a pound.
To find the pounds that equal to $11.25, I just multiplied. Since it's $1.50 per pound, no whole number will equal to $11.25. So, I tried 7.5
$1.50 x 7.5 = $11.25
Please help!!! Thank you!!!
The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.
Answer:
w = \(\frac{p -2l}{2}\)
Step-by-step explanation:
p = 2l + 2w Subtract 2l from both sides of the equation
p - 2l = 2p Divide both sides by 2
\(\frac{p -2l}{2}\) = w
Plz help me will give crown and 20 points I really need help on this and can you answer all the questions
Answer:
The answer will be
1 c
2 e
3 b
4 a
5 d
Which of the following statements about fractions is not true? a. Proper fractions have a greater numerator than denominator b. Improper fractions are percentages greater than 100% c. Mixed fractions can be written as improper fractions d. The product of a fraction and its reciprocal is 1
Answer:
c
Step-by-step explanation:
Answer:
A. Proper fractions have a greater numerator than denominator.
Amy bought 2 shirts for $16.90 each. Tax is
7%. What is the total cost of the two shirts
including tax
Answer:
36.166
Step-by-step explanation:
Plz help me. I can’t figure this out
Answer:
D is false
Step-by-step explanation:
the graph does not include the point (4,3)
Answer:
I'm pretty sure the answer is c) the graph crosses the y-axis at (0, 4).