At the end of 24 hours, 48 cupcakes will have grown. Every 8 hours, two cupcakes are grown, so after 24 hours, 24 sets of two cupcakes have been grown. Therefore, 48 cupcakes have grown.
At the end of 24 hours, 48 cupcakes will have grown. This is because every 8 hours, two cupcakes are grown. After 24 hours, 24 sets of two cupcakes have been grown. This means that in the 24 hours, two cupcakes were grown a total of 24 times. When this total is multiplied by two, it results in 48 cupcakes being grown. Therefore, after 24 hours, 48 cupcakes have grown. It is important to note that this is only the number of cupcakes that have grown in the 24 hour period, and not the total number of cupcakes. This number includes any cupcakes that were already present at the beginning of the 24 hour period, so the total number of cupcakes at the end of the 24 hour period could be higher than 48.
1. Calculate the number of sets of cupcakes grown in 24 hours: 24 hours divided by 8 hours = 3 sets
2. Calculate the number of cupcakes grown in 24 hours: 3 sets multiplied by 2 cupcakes = 6 cupcakes
3. Calculate the total number of cupcakes grown in 24 hours: 6 cupcakes multiplied by 4 sets = 24 cupcakes
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Mina is 7 years old. Her older sister is 3 more than 2 times Mina’s age. Mina’s younger sister is 8 less than twice her age. Mina’s mothers age is 10 more than twice of Mina’s sister’s age. Mina’s grandmother is all of the ages of Mina, her older sister, her younger sister, and her mother combined. How old is Mina’s grandmother?
Answer & Step-by-step explanation:
Let's start by defining some variables:
M = Mina's age
O = Mina's older sister's age
Y = Mina's younger sister's age
A = Mina's mother's age. We can now use the information given in the problem to set up a system of equations:
O = 2M + 3
Y = 2M - 8
A = 2Y + 10
Grandmother's age = M + O + Y + A
We can substitute the first three equations into the fourth equation to get:
Grandmother's age = M + (2M + 3) + (2M - 8) + (2(2M - 8) + 10)
Simplifying this expression, we get:
Grandmother's age = 9M + 9
Finally, we can substitute M = 7 (Mina's age) to get:
Grandmother's age = 9(7) + 9 = 72 Therefore, Mina's grandmother is 72 years old.
Hope it helps!How many different triangles can you make if you are given the measurements for 2 sides and a angle that is not between those sides?
Th different triangles that can you make if three property of the triangle is known and one side must be known, will be one.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
To specify the triangle, atleast one of the sides must be known and any other two property like side-angle, side-side, and angle-angle.
Th different triangles that can you make if three property of the triangle is known and one side must be known, will be one.
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need help with this urgently
The quadratic function from the given graph is g(x)= -1/2 x². Therefore, option A is the correct answer.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The given function is f(x)=x².
From the given figure, graph of f(x) is
Direction: Opens Up
Vertex: (0, 0)
Focus: (0, 1/4)
Axis of symmetry: x=0
Directrix: y= -1/4
Direction: Opens Up
Vertex: (0, 0)
Focus: (0, -1/2)
Axis of symmetry: x=0
Directrix: y=1/2
So, the function is g(x)= -1/2 x²
Therefore, option A is the correct answer.
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Answer as you go through
1. Luis walks 5 km due cast and 8 km due north. How far is he from the
starting point?
a 89imo b. 164 kra c. 39 km
d. 25 km
de of a mihe given its surface area of 72 m2
Luis is 9.43 km from the starting point.
Let us assume that x represents the distance between the starting point and end point.
Let m be the east side distance and n be the northside diatnce.
Using Pythagoras theorem we find the distance between the starting point and end point i.e., the value of x.
x² = m² + n²
x = [tex]\sqrt{m^2+n^2}[/tex]
x = [tex]\sqrt{5^2+8^2}[/tex]
x = 9.43 km
Therefore, he is 9.43 km from the starting point.
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The complete question is:
Luis walks 5 kilometer due to east and 8 kilometer due to north. How far is he from the starting point?
what percent of $90,000 is equal to $45,000
Answer:
50%
Step-by-step explanation:
50% = 0.5
$90000 times 0.5 = $45000
So, 50% of $90000 is equal to $45000
Answer: 50%
Hope this helps :)
Step-by-step explanation:
45,000 / 90,000 = .5 (50 out of 100)
45 * 2 = 90
Two nearby trees are perpendicular to the ground, which is flat. One of these trees is 10 feet tall and has a shadow that is 5 feet long. At the same time, the shadow of the other tree is 2 feet long. How tall, in feet, is the other tree?
Answer:
4 feet
Step-by-step explanation:
I'll use ratios:
10 feet tall is to 5 foot shadow as x feet tall is to 2 foot shadow
or
10 / 5 = x /2 Multiply both sides of the equation by 2
20 / 5 = x = 4 feet tall
The height of other tree is 4 foot.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
10 feet tall cats a shadow of 5 foot.
let x feet casts a shadow of 2 foot.
Using proportion
10/ 5 = x / 2
2 = x/2
x = 4 feet.
Thus, the 4 feet tall tree casts a shadow of 2 foot.
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Three equal cubes are placed adjacent to each other in a row. If side of a cube is 2 , then find the total surface area of the cuboid thus formed.
Total surface area of cuboid is 56 sq.units.
What is Total Surface Area?Total surface area is the total space covered by an object. It includes both top and bottom of an objects.
Let a be the side of the cube, a=2.
The cube with 2 units are placed adjacent to each other it forms cuboid.
The dimensions of cuboid are,
length, l = a + a + a ⇒ 2+2+2=6 units.
breadth, b = a=2 units.
height, h =a=2 units.
Total surface area of cuboid = 2(lb+bh+hl) sq. units
= 2(6*2+2*2+2*6)
= 56 sq.units.
Hence, the total surface area of the cuboid thus formed is 56 sq.units.
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GAVIN WANTS TO HAVE HIS BIRTHDAY AT THE BOWLING ALLEY WITH A FEW OF HIS FRIENDS, BUT HE CAN SPEND NO MORE THAN $78. THE BOWLING ALLEY CHARGES A FLAT FEE OF $42 FOR A PRIVATE PARTY AND $4.50 PER PERSON FOR SHOE RENTALS AND UNLIMITED BOWLING.
Answer: He can have 8 friends.
Step-by-step explanation: 78 minus 42(Private party fee)= 36.
36 divided by 4.5(Per person)= 8
according to an article in a business publication, the average tenure of a u.s. worker is 4.6 years. formulate an appropriate one-sample test of hypothesis to test this belief
The results of this test will be used to determine if the average tenure of U.S. workers is significantly different from the stated 4.6 years. If the results are statistically significant, then we can reject the null hypothesis and conclude that the average tenure of U.S. workers is 4.6 years.
Hypothesis: The average tenure of U.S. workers is 4.6 years
Null Hypothesis: The average tenure of U.S. workers is not 4.6 years
Alternative Hypothesis: The average tenure of U.S. workers is 4.6 years
Test Statistic: One-sample t-test
Significance Level: α = 0.05
The purpose of this one-sample t-test is to determine whether the average tenure of U.S. workers is 4.6 years. The null hypothesis states that the average tenure of U.S. workers is not 4.6 years, while the alternative hypothesis states that the average is 4.6 years. The significance level for this test will be set at α = 0.05. The test statistic is a one-sample t-test, which is used to compare the mean of a sample to a known population mean. The results of this test will be used to determine if the average tenure of U.S. workers is significantly different from the stated 4.6 years. If the results are statistically significant, then we can reject the null hypothesis and conclude that the average tenure of U.S. workers is 4.6 years.
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A boy scored 60 marks for a science test and 75 marks for a mathematics test. What is the ratio of his science marks to his mathematics marks
The ratio of his science marks to his mathematics marks is 4/5 or 4:5
What are equivalent ratios?
The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.
In general, the ratio of a to b is a/b
So,
The ratio of his science marks to his mathematics marks
=60/75
Divide both terms by 5
= 12/15
Divide both terms by 3
= 4/5
The ratio of his science marks to his mathematics marks is 4/5 or 4:5
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Simplify (5+√3) (5-√3)
Answer:
let 5= a and b = 3^1/3
(a+b) ( a-b)
a^2-b^2
putting the value of a and b we get
(5)^2-(3)^2/2
25-3
22
4n^2 – 15n -25
Factor Completely
Answer:(n-5)(4n+5)
Step-by-step explanation:
if there's 20 students but only 14 cookies how can every student get one equally?
PLEASE HELP FAST
Since there are 20 students, and only 14 cookies, it is practically impossible for each student to get one whole cookie.
Further explanation on the cookie sharingIf there are 20 students and only 14 cookies, it is not possible for every student to get one cookie equally.
Dividing 14 cookies equally among 20 students means each student would get only 0.7 cookies, which is not possible since cookies are discrete objects.
In this scenario, the best solution would be to divide the 14 cookies as equally as possible among the 20 students, with some students getting one cookie and others getting none. This is known as an unequal distribution and is the fairest solution in such a scenario.
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Find the solution(s) to: LaTeX: \ln\left(x^2-30\right)=\ln\left(13x\right)ln ( x 2 − 30 ) = ln ( 13 x ) Check for extraneous solutions. Group of answer choices LaTeX: x=\ln15x = ln 15 LaTeX: x=-2,\:x=15x = − 2 , x = 15 LaTeX: x=-2x = − 2 LaTeX: x=15x = 15
The extraneous solutions of the equation is -2 and 15.
ln stands for logarithm and it is a function that returns the power to which a certain number (base) must be raised to obtain a given value. The logarithm is commonly used to simplify mathematical expressions and can be thought of as an inverse operation to exponentiation.
In this equation, we have two logarithmic expressions on the left and right side. To solve for x, we need to find what number raised to the power of the base (ln), will result in x² - 30 and 13x.
So, if we find the height for one triangle, we can find the height for the other triangle. To do this, we will use the logarithmic property:
ln(aᵇ) = b * ln(a)
Where a and b are any positive real numbers.
Applying this property to both logarithmic expressions, we get:
ln(x² - 30) = ln((x² - 30)^(1/ln)) = 1/ln * ln(x² - 30)
Equating the two, we get:
1/ln * ln(x² - 30) = 1/ln * ln(13) + 1/ln * ln(x)
Dividing both sides by 1/ln, we get:
ln(x² - 30) = ln(13) + ln(x)
Using the logarithmic property, we can simplify further:
x² - 30 = 13 * x
Dividing both sides by x, we get:
x²/x - 30/x = 13
x - 30/x = 13
x² - 30 = 13x
x² - 13x - 30 = 0
This is a quadratic equation and can be solved using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
Where a = 1, b = -13, c = -30
So,
x = (-(-13) ± √((-13)^2 - 4 * 1 * -30)) / 2 * 1
x = (13 ± √(169 + 120)) / 2
x = (13 ± √289) / 2
x = (13 ± 17) / 2
So,
x = (13 + 17) / 2 = 15 or
x = (13 - 17) / 2 = -2
These are the two solutions to the equation. To check for extraneous solutions, we substitute x = 15 and x = -2 back into the equation and see if it is true.
Complete Question:
Find the solution(s) to[tex]\ln\left(x^2-30\right)=\ln\left(13x\right)\ln ( x^2 - 30 ) = ln( 13 x )[/tex]
Check for extraneous solutions.
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Anissa Berreles: Attempt 1
Question 2 (0.1 points)
Which expression is equivalent to
(3x² + 2x - 4) + (5x² - 4x + 5) ?
Answer:8x^2-2x+1
Step-by-step explanation: Add both and combine like terms.
The measure of an angle is 8 degrees less than three times the measure another angle. If the two angles are supplementary, what is the measure or the larger angle?
The answer should be either 133 or 148
Answer:
133°
Step-by-step explanation:
supplementary angeles sum 180°
a = 3b - 8. Eq. 1
a + b = 180. Eq. 2
Replacing Eq.1 in Eq.2
(3b - 8) + b = 180
3b + b = 180 + 8.
4b = 188
b = 188/4.
b = 47°
From Eq. 1:
a = 3b - 8.
a = 3*47 - 8.
a = 141 - 8.
a = 133°
then:
133>47
The larger anglel is:
133°
What is the slope coefficient? Is this coefficient significant at a 5% level of significance (alpha=0.05)? (Hint: Check the P-value for weight in the Python output.) See Step 4 in the Python script.
The slope coefficient in a regression model represents the change in the response variable for a one-unit change in the predictor variable, holding all other predictors constant.
The significance of the slope coefficient is determined by the p-value associated with it in the regression output. A p-value less than 0.05 indicates that the slope coefficient is significantly different from zero at a 5% level of significance, meaning that the predictor variable has a significant effect on the response variable. A p-value greater than 0.05 suggests that the predictor variable does not have a significant effect on the response variable.
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Complete Question:
What is the slope coefficient? Is this coefficient significant at a 5% level of significance (alpha=0.05)?
Pls find parallel and perpendicular skew
Answer:
parallel: CE and BF
perpendicular skew:CA
Step-by-step explanation:
considering the attached box-and-whisker plot, what percent of data lies within the inter-quartile range (iqr)?
In the inter-quartile graph , the data is contained in about 75% of the total (IQR).
A sort of graph used to show numerical data visually is the box-and-whisker plot. In this graph, the inter-quartile range (IQR) of the data is shown as a rectangular box, and the median is shown as a line extending from the box. The minimum and maximum values of the data are indicated by the whiskers extending from the box. It is clear from the box-and-whisker plot's information that roughly 75% of the data falls inside the inter-quartile range. The first quartile (Q1) is subtracted from the third quartile to determine the IQR (Q3). The median of the lower half of the data is the lower quartile (Q1), and the median of the higher half is the upper quartile (Q3). The dispersion of the middle half of the data is thus indicated by the IQR. When evaluating data, having this knowledge is crucial since it makes it easier to see any outliers or numbers outside the IQR.
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The complete question is
considering the attached box-and-whisker plot, what percent of data lies within the inter-quartile range (iqr) and find the data?
Luke is 6 ft tall. He shoots a squirt gun through Alex's penthouse suite window which is 30 ft from the
ground (it must not be much of a penthouse!!). Luke is standing a horizontal distance of 50 feet from Alex's
building. What is the angle of elevation at which Luke shoots the squirt gun? Round to the nearest degree.
The angle of elevation at which Luke shoots the squirt gun is 25.641°
What is the angle of elevation?A frequently used idea in relation to height and distance is the angle of elevation, particularly in trigonometry. It is described as a relationship between an oblique line from the observer's eye to an item above his eye and the horizontal plane. This angle eventually develops above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name suggests.
Given that, the height of Luke is 6 ft .
the height of squirt gun from the ground is 30ft.
So, the height of squirt gun from the Luke's eye is 30-6 = 24 ft
The horizontal distance of Luke from Alex's building is 50 feet .
Let the angle of elevation is θ.
tan θ = the height of squirt gun from the Luke's eye / The horizontal distance of Luke from Alex's building
tan θ = 24/50
tan θ = 0.48
θ = tan⁻¹ 0.48
θ = 25.641°
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what is statistical procedure that would be used when researchers do not propose a formal hypothesis, but instead use the procedure to broadly identify underlying components?
Quantitative research is the procedure of gathering and performing a numerical analysis. It can be used to identify trends and averages, formulate hypotheses, examine causality, and extrapolate findings to larger population.
Statistical methods involved in carrying out a study include planning, designing, collecting data, analysing, drawing meaningful interpretation and reporting of the research findings.
Quantitative research collects information from existing and potential customers using sampling methods and sending out online surveys, online polls, and questionnaires, for example. One of the main characteristics of this type of research is that the results can be depicted in numerical form.
An unofficial relationship is mentioned in a theory. If the frequency of winning is correlated with the frequency of purchasing lottery tickets, for instance. "Then" is followed by a forecast of what will happen if you buy lottery tickets more frequently or less frequently.
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Events A and B are such that P(B) = 2/3 P(A/B) = 3/4 and P(A U B) = 11/12 Work out P(A n B)
P(A n B) = P(A|B) * P(B) = (2/3) * (3/4) = 1/2
Therefore, there is a 50% probability that both occurrences A and B will happen. P(A and B)=1/2
What do probability and an example mean?The possibility that something will occur is called the probability. the total number of conceivable outcomes. Because there is only one way to receive a head and there are a total of two possible outcomes, the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). We state P(heads) = 12.
What is the fundamental definition of probability?A probability is a number that expresses the likelihood or chance that a specific event will take place. Probabilities can be stated as percentages ranging from 0% to 100% or as proportions from 0 to 1.
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in the attatched below screenshot
The value of y are 8, 7, 6, 5, 4, 3 and graph of the line is a straight line.
What is graphing?In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
Given is an equation, x+y = 6, we need to find the value of y corresponding to the value of x which are given,
x+y = 6
For x = -2,
-2+y = 6
y = 8
For x = -1,
-1+y = 6
y = 7
For x = 0
0+y = 6
y = 6
For x = 1,
1+y = 6
y = 5
For x = 2,
2+y = 6
y = 4
For x = 3,
3+y = 6
y = 3
Therefore, we get the value of y = 8, 7, 6, 5, 4, 3
Plotting for same, we get a straight line (attached graph)
Hence, the value of y are 8, 7, 6, 5, 4, 3 and graph of the line is a straight line.
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Andi bought 1 hot dog and 2 sodas. The hotdog cost 1.99 and the total cost was $6.49. How much did each soda cost?
Sketch a graph that represents the situation.
Morwenna rents a truck. She pays $20 plus $0.25
per mile.
Answer:
I have solved and attached a graph in the explanation.
Step-by-step explanation:
We know
Morwenna rents a truck. She pays $20 plus $0.25 per mile.
0.25 is the slope
20 is the y-intercept
So, we have the equation is
y = 0.25x + 20
Simplify——-
D.) 3/4 x 1/2
[tex] = \frac{3}{4} \times \frac{1}{2} \\ [/tex]
[tex] = \frac{3}{8} \\ [/tex]
The height and column diameter of Nelson's column in London are approximately 50m and 3m respectively.
The area occupied by the Nelson's column in London is 225πm².
Nelson's Column is a monument in London, England that stands 50m tall and has a diameter of 3m at the base. To find the area that it occupies, we must use the formula for the area of a cylinder.
The formula for the area of a cylinder is A = 2πr² + 2πrh, where r is the radius and h is the height. The radius of Nelson's Column is half of the diameter, or 1.5m.
Plugging these values into the formula, we get
=> A = 2π(1.5m)² + 2π(1.5m)(50m) = 225πm².
Therefore, the area occupied by Nelson's Column is 225πm².
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Complete Question:
The height and column diameter of Nelson's column in London are approximately 50m and 3m respectively.
Then find the area it occupied
13th amendment summary
Answer:
The 13th Amendment to the United States Constitution provides that "Neither slavery nor involuntary servitude, except as a punishment for crime whereof the party shall have been duly convicted, shall exist within the United States, or any place subject to their jurisdiction."
Step-by-step explanation:
some one solve this equation for me please 2x -1 < x + 2
Answer:
X < 3
Step-by-step explanation:
2x-1<x+2
2x - x < 2 + 1
X < 3
find the difference using column method
a. 240040 - 67952
The difference using the column method is: 172,088.
What is the difference with the column method?The column method of subtraction simply deals with the arrangement of the figures in a column format. This can be done as follows:
240040
- 67952
172, 088
The above method employs the same logic of subtracting numbers but the only difference is the fact that the larger number is placed above the smaller number and the subtraction sign is placed somewhere besides the arrangement. When the subtraction is done, the number obtained is 172,088.
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