Reptile stickers come in sheets of 10 and fish stickers come in sheets of 25. Antonio buys the same
number of both types of stickers and he buys at least 100 of each type.
What is the least number of sheets of each type he might buy?
Antonio might buy
sheets of reptile stickers and
sheets of fish stickers.
100 is the least number of sheets of each type he might buy given that reptile stickers come in sheets of 10 and fish stickers come in sheets of 25 and Antonio buys the same number of both types of stickers and he buys at least 100 of each type. This can be obtained by finding LCM(Least Common Multiple) of 10 and 25 and identifying the multiple nearest to 100.
What is the least number of sheets of each type he might buy?Here in the question it is given that,
Reptile stickers come in sheets of 10Fish stickers come in sheets of 25Antonio buys the same number of both types of stickersHe buys at least 100 of each typeWe have to find the least number of sheets of each type he might buy.
First we have to find the LCM(Least Common Multiple) of 10 and 25
10 = 2 × 5
25 = 5 × 5
LCM(10,25) = 2 × 5 = 50
But he buys at least 100 of each type, then we recall the multiples of 18 to find the least number which is nearest to 100.
Multiples of 50 = 50, 100, 150,...
The number nearest to 100 is 100 itself.
Hence 100 is the least number of sheets of each type he might buy given that reptile stickers come in sheets of 10 and fish stickers come in sheets of 25 and Antonio buys the same number of both types of stickers and he buys at least 100 of each type.
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please help me with this problem
Answer:
x=34
Step-by-step explanation:
This is a 180-degree angle. This means, that when added, both sides must equal 180.
180-151=29
Since there is a "-5" on the side of x, we must add five to find x.
29+5=34
x=34
please solve quickly
Given the following graph, determine its quadratic function:
Please help me :C
Answer: y=(x-1)(x+3)+6
Step-by-step explanation: you do opposite x-values and then you add the y-intercept.
Suppose F is a vector field on the unit ball such that div f=3. What is the flux of f through the unit sphere, oriented outward?
The flux of the vector field \(\( \mathbf{F} \)\) through the unit sphere, oriented outward, is \(\( 4\pi \)\). \(\[\text{{Flux}} =4\pi\]\)
To find the flux of the vector field \(\(\mathbf{F}\)\) through the unit sphere, oriented outward, we can apply the Divergence Theorem.
The Divergence Theorem states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence of that vector field over the region enclosed by the surface.
Let's denote the unit ball as \(\(B\)\) and the unit sphere as \(\(S\)\). The outward-oriented normal vector on \(S\) is denoted as \(\(\mathbf{n}\)\). The Divergence Theorem then gives us:
\(\[\text{{Flux}} = \iint_S \mathbf{F} \cdot \mathbf{n} \, dS = \iiint_B \text{div}(\mathbf{F}) \, dV\]\)
Since the divergence of \(\(\mathbf{F}\)\) is given as \(\(\text{div}(\mathbf{F}) = 3\)\), we can rewrite the above equation as:
\(\[\text{{Flux}} = \iiint_B 3 \, dV\]\)
The integral on the right-hand side represents the volume of the unit ball, which is \(\(\frac{4}{3}\pi\)\). Thus, we have:\(\[\text{{Flux}} = 3 \cdot \frac{4}{3}\pi = 4\pi\]\)
Therefore, the flux of the vector field \(\(\mathbf{F}\)\) through the unit sphere, oriented outward, is \(\(4\pi\).\)
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A scatterplot is graphed with the time it takes a child to get dressed in the morning on
the horizontal axis, and the child's age in years on the vertical axis. The graph shows a
negative correlation because the time decreases as the age of the child increases.
False
True
losing my marbles: i have a bag containing 100 marbles, 99 of which are blue, and one of which is green. how many marbles must i remove (checking their color before removing them) so that the the probability a randomly drawn marble is green is 2%?
The probability that a green marble is randomly drawn will be 2% if 50 blue marbles are removed. The probability of randomly picking a green marble will be greater if there are fewer marbles.
The probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
P(A) = 2% = 0,02n(A) = 1 (number of green marble)We must find the value of n(S) (the total number of marbles) so that we know how many marbles that must be removed.
P(A) = n(A) / n(S)0,02 = 1 / n(S)n(S) = 50Hence, the probability of randomly drawn green marble will be 2% if there are 50 marbles. So, 50 blue marbles should be removed.
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Mrs. Snow divided thirty-six books equally
and placed them on nine desks. How many
books did she place on each desk?
if you're going to divide 36 into 9 then you'll have the answer
hope it helps
Cronbach's alpha indicates to what extent scale items are correlated to each other?
True
False
False. Cronbach's alpha is a measure of internal consistency reliability, not a measure of the correlation between scale items.
It assesses the extent to which the items in a scale or questionnaire are measuring the same underlying construct.
Cronbach's alpha is calculated based on the inter-item correlations among the items in a scale. It provides a measure of the average correlation between all possible pairs of items in the scale. The range of Cronbach's alpha is between 0 and 1, with higher values indicating greater internal consistency or reliability.
Essentially, Cronbach's alpha quantifies the extent to which the items in a scale are consistently measuring the same construct or concept. It assesses how well the items "hang together" as a reliable measurement tool.
While correlation between scale items is related to internal consistency, Cronbach's alpha specifically measures the degree to which the items are interrelated and provides a single coefficient that reflects the overall reliability of the scale. It does not directly indicate the extent of item-item correlations or the strength of individual item contributions to the scale.
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A test of H0: =55 versus H1= 55 is performed using a significance level of . The P-value is 0.048. If the true value of μ is 59, does the conclusion result in a Type I error, a Type II error, or a correct decision?
The conclusion results in a correct decision when test of H0: =55 versus H1= 55 is performed using a significance level of the P-value is 0.048
The given null hypothesis is H0: μ = 55 and the alternative hypothesis is H1: μ ≠ 55.
The significance level is not given in the question.
Given P-value is 0.048.
If the true value of μ is 59, and the P-value is 0.048, then we would reject the null hypothesis at a significance level of α = 0.05.
Since the true value
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does Squaring a number and adding one will always result in an even number
No, if you square an odd number and add one the result would be even but if you square an even number and add one, the result would be odd.
Answer:
no, let's say we're squaring 2.
Step-by-step explanation:
2^2 = 2 x 2.
2 x 2 = 4
4 + 1 = 5
5 isn't even.
Basically, squaring a number that is already even and adding one will equal and odd number.
Graph the line that passes through the points (0,-5) and (-5,_6)
Answer:
Step-by-step explanation:
First find the slope(m) between (0,-5) and (-5,-6)
m = \(\frac{y_2-y_1}{x_2-x_1}\) = \(\frac{-6-(-5)}{-5-0}\) = \(\frac{-1}{-5}\) = \(\frac{1}{5}\)
y = \(\frac{1}{5}\)x -5
I attached the graph. I used desmos.
Hope that helps!
What is the approximate surface area S of the sphere? Use 3.14 for. Round your answer to the nearest hundredth if necessary.
Enter your answer in the box.
Answer:
1808.64ft²
Step-by-step explanation:
s= 4πr²
s= 4×3.14×(12ft)²
Topic #2: Distance & Midpoint
9. Find ST if S(-3, 10) and T(-2, 3).
Answer:
ST = 7.07 units
Step-by-step explanation:
Prove that √5 is irrational.
Our initial assumption that √5 is rational must be false.
To prove that √5 is irrational, we can use a proof by contradiction.
Assume that √5 is rational, meaning it can be expressed as a fraction in the form of p/q, where p and q are integers with no common factors (except 1) and q is not equal to 0.
We can then square both sides of the equation to get:
(√5)² = (p/q)²
5 = p² / q²
Cross-multiplying gives:
5q² = p²
From this equation, we can observe that p² must be a multiple of 5, which implies that p itself must be a multiple of 5.
Let's express p as p = 5k, where k is an integer.
Substituting this into the equation gives:
5q² = (5k)²
5q² = 25k²
Dividing both sides by 5, we have:
q² = 5k²
This implies that q² must also be a multiple of 5, which means q itself must be a multiple of 5.
Now, we have shown that both p and q are multiples of 5.
This contradicts our assumption that p and q have no common factors other than 1.
Our initial assumption that √5 is rational must be false.
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John is planning an end of the school year party for his friends he has $155 to spend on soda and pizza he knows he has to buy 10 2 L bottles of soda choose the any quality and calculate the greatest number of pizzas he can buy
If John has to buy 10 "2-Liter" bottles of soda, then the inequality representing this situation is "10(1.50) + 7.50p ≤ 150" and greatest number of pizzas he can buy is 18, Correct option is (d).
Let "p" denote the number of "large-pizzas" that John can buy.
One "2-liter" bottle of soda cost is = $1.50,
So, the cost of the 10 bottles of soda is : 10 × $1.50 = $15,
one "large-pizza's cost is = $7.50,
So, the cost of p large pizzas is : $p × $7.50 = $7.50p,
The "total-cost" of the soda and pizza must be less than or equal to $150, so we can write the inequality as :
10(1.50) + 7.50p ≤ 150
Simplifying the left-hand side of the inequality,
We get,
15 + 7.50p ≤ 150
7.50p ≤ 135
p ≤ 18
Therefore, John can buy at most 18 large pizzas with his remaining budget, the correct option is (d).
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The given question is incomplete, the complete question is
John is planning an end of the school year party for his friends he has $150 to spend on soda and pizza.
Soda (2-liter) costs $1.50;
large pizza cost $7.50;
He knows he has to buy 10 "2-Liter" bottles of soda.
Choose the inequality and calculate the greatest number of pizzas he can buy.
(a) 10(1.50) + 7.50p ≥ 150; 54 pizzas
(b) 10(7.50) + 1.50p ≤ 150; 53 pizzas
(c) 10(7.50) + 1.50p ≥ 150; 19 pizzas
(d) 10(1.50) + 7.50p ≤ 150; 18 pizzas
Mean variance standard deviation discussions questions
The answer will be Mean = 135 Variance = 62 and Standard Deviation = 8
What is the standard deviation?Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
Given that :
Proportion (p) = 54%
Sample size (n) = 250
Using Normal approximation :
Mean = np
Mean = 250 * 0.54 = 135
Variance = npq ; q = 1 - p = 1 - 0.54 = 0.46
Variance = (250 * 0.54 * 0.46) = 62.1 = 62
Standard deviation = √variance = √62.1
Standard deviation = 7.8803553 = 8
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Divide -2 1/8÷6 4/5 . Explain each step you used to find the quotient.
Answer: -85/272
Step-by-step explanation:
-17/8 divided by 34/5
then opposite reciprical
-17/8 x 5/34
-85/272 (check if you can simplify)
Bella is putting 576 cicadas into 8 different terrariums. The same number of cicadas will be put into each one. How many cicadas will be in each terrarium?
Answer:
72
Step-by-step explanation:
576 divided by 8 = 72
for positive acute angles A and B, it is known that cos A=9/41 and tan B=21/20. Find the value of sin(A+B) in simplest form.
Answer:
Step-by-step explanation:
I attached a pic so you can see what the angles look like when you draw them out and construct right triangles out of them. We need to find the missing side lengths, ?, in each triangle. For A:
and
x = 40 For B:
and
x = 29. Now that we know all the sides of each triangle, we will use the sum identity for sin:
sin(A + B) = sinAcosB + cosAsinB. Filling in what we found in our triangles for each ratio: sin A = 40/41, sin B = 21/29, and cos B = 20/29
sin(A + B) = which simplifies to
And that's it. It doesn't simplify any further.
6 cm
x cm
D
4 cm
x cm
B
The area of rectangle ABCD is 28 cm²
a) What is the length of side AB in terms of x?
length of AB
Answer:
L×B=24 cm^2. L=24/B
2{L+B}= 28
2{24/B+B}=28
B^2–14B+24=0
B^2–12B-2B+24=0
B(B-12)-2(B-12)=0
(B-2)(B-12)=0 B= 2 or,12cm
Breadth=2 cm
Length=12 cm
Step-by-step explanation:
L×B=24 cm^2. L=24/B
2{L+B}= 28
2{24/B+B}=28
B^2–14B+24=0
B^2–12B-2B+24=0
B(B-12)-2(B-12)=0
(B-2)(B-12)=0 B= 2 or,12cm
Breadth=2 cm
Length=12 cm
what is gross national income? how is it calculated? illustrate your answer with a specific example.
Gross National Income (GNI) is the total income earned by a country's residents, including income earned abroad.
It is a measure of a country's economic performance and is used to compare the wealth of different countries. GNI is calculated by adding up all the income earned by residents, including wages, profits, and investment income, and adding in any income earned by residents from abroad, while subtracting any income earned by foreigners in the country.
To calculate GNI, a country's statistical agency collects data on the income earned by its residents and income earned abroad. For example, if a country's residents earn a total of $1 billion in wages, $500 million in profits, and $200 million in investment income, while earning an additional $300 million from abroad, the country's GNI would be $2 billion ($1 billion + $500 million + $200 million + $300 million).
GNI is an important measure of a country's economic performance, as it reflects the overall wealth of a country and its residents. It is often used in conjunction with other economic indicators, such as Gross Domestic Product (GDP), to evaluate a country's economic development and standard of living. However, it is important to note that GNI may not reflect the distribution of income within a country, as it measures total income rather than individual incomes.
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Marco is reconstructing his expenses for the past two weeks. Here are the records of his expenses: Transaction Cost ($) T-shirt 20 Gas 22 Movie 13 Video game 39 Jeans 34 Hat 15 Books 31 Marco’s bank statement says that he has an ending balance of $81. What is Marco’s starting balance? a. $255 b. $93 c. $174 d. $210 Please select the best answer from the choices provided A B C D.
The total expenses of Marco's account are $174. The ending balance is $81. So, the starting balance will be $255.
Option A is correct for starting balance.
Further Explanation on Starting and Ending Balance
Given that Marco’s bank statement says that he has an ending balance of $81. The expenses $ of Marco is given as,
T-shirt 20 Gas 22 Movie 13 Video game 39 Jeans 34 Hat 15 Books 31The total expenses can be calculated as given below.
Total Expenses = Sum of all Expenses
Total Expenses = 20+22+13+39+34+15+31
Total Expenses = $174
The starting balance can be calculated as given below.
Starting Balance = \(\$174 +\$81\)
Starting Balance = $ 255.
Hence we can conclude that the starting balance of Marco's account is $255. Option A is correct.
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Answer:
A
Step-by-step explanation:
A braced cut, 5 m wide and 7.5 m deep is
proposed in a cohesionless soil deposit having
effective cohesion C* = 0 and effective friction
angle ¢' = 36°. The first row of struts is to be
installed at a depth of 0.5 m below ground surface
and spacing between the struts should be 1.5 m.
If the horizontal spacing of struts is 3m and unit
weight of the deposit is 20 kN/m3, the maximum
strut load will be _____
The maximum strut load is 70.87 kN. The maximum strut load can be calculated using the following equation: Maximum strut load = 2 * unit weight * gravity * depth * sin(friction angle) * cos(friction angle)
In this case, the unit weight is 20 kN/m3, the gravity is 9.81 m/s^2, the depth is 7.5 m, and the friction angle is 36°. Plugging these values into the equation, we get the following:
Maximum strut load = 2 * 20 * 9.81 * 7.5 * sin(36°) * cos(36°) = 70.87 kN
Therefore, the maximum strut load is 70.87 kN.
The maximum strut load occurs at the first row of struts, which is installed at a depth of 0.5 m below ground surface. The strut load decreases with depth, and the maximum strut load is reached at the first row of struts.
The strut load is caused by the weight of the soil above the struts. The soil above the struts exerts a lateral force, which is resisted by the struts. The maximum strut load occurs when the lateral force is at its maximum.
The maximum strut load is an important design consideration for braced cuts. The strut load must be able to be safely carried by the struts. If the strut load is too high, the struts may buckle or fail.
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What is the measure of angle Y?
Answer:
what's the question
Step-by-step explanation:
is there a photo you can post we need more info
Make x the subject of the formula
y = mx − c
pls answer asap!!
Answer:
it is slope y inreter y=mx+b becacuse rise and rund
Answer:
c+y/m=x
Step-by-step explanation:
plus the c so it makes c+y then divide the m
five friends share eight pizzas. how much dose each friend get
Answer:
1.6 pizzas
Step-by-step explanation:
Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)
sinx(sinx+1)=0
The answers to the preceding equation are, in radians, x= n and x= -/2+2n, where n is an integer constant.
Sinx(sinx+1)=0 is the provided equation.
This suggests that sinx=0 or sinx+1=0, respectively.
Any number that is x's multiple if sinx=0.
Sinx=-1 when sinx+1=0, resulting in x=-/2+2n, where n is an integer.
As a result, in radians, x= n and x= -/2+2n (where n is an integer constant) are the answers to the given equation.
We must identify the values of x that fulfill the equation sinx(sinx+1)=0 in order to get the solution. We have two scenarios to take into account because the product of two components is zero if and only if at least one of the factors is zero. We need to think about two cases. The number x can be any integer multiple of if sinx=0. Sinx=-1, on the other hand, if sinx+1=0, then x=-/2+2n, where n is an integer. As a result, in radians, x= n and x= -/2+2n (where n is an integer constant) are the answers to the given equation.
The radians equivalents of x=n and x= -/2+2n, where n is an integer constant, are the solutions to the equation sinx(sinx+1)=0. By setting each element in the given equation to zero and locating x, we were able to arrive at these solutions. While the second factor sinx+1=0 produces x= -/2+2n, the first factor sinx=0 yields n.
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Can someone save this for me ?
Answer:
1. point it to 381.5
2. point it to 33.5
3. point it to 1,436
4. point it to 3,052.1
for pointing it to in terms of pi im confused about because ive tried to get the answer but can't
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,-8), which equation should he use to find the y-intercept and what is the y-intercept of the line?
Answer:
Equation to be used: Point- Slope form \( y-y_1= m(x-x_1)\)
y-intercept = - 12
Step-by-step explanation:
He should use point - slope form equation.
It is given that, line is passing through the points\( (1,\: -8) = (x_1\:y_1)\) and has a slope m = 4.
The equation of line in point-slope form is given as:
\(y-y_1= m(x-x_1)\\y-(-8) = 4(x-1)\\y+8 = 4x - 4\\y = 4x - 4 -8\\\huge\red{\boxed{y= 4x - 12}}...(1)\\Equating\: equation\: (1) \: with;\\y = mx + b \\y-intercept\: (b) = -12\)
Answer:
The answers are B and D.
Step-by-step explanation: