Answer:
x = 109
Step-by-step explanation:
75 + 45 + y = 180
120 + y = 180
y = 60
60 + 79 + z = 180
z + 139 = 180
z = 41
41 + 68 + a = 180
109 + a = 180
a = 71
x + a = 180
x + 71 = 180
x = 109
A research team is testing the hypothesis that exercise increases happiness. What step must they complete next
The research team, after formulating the hypothesis that exercise increases happiness, needs to design and conduct an experiment to test this hypothesis.
The next step would be to plan and implement a study that allows them to collect data and analyze whether exercise has a positive impact on happiness.
Define the variables: Clearly define the variables involved, such as the independent variable (exercise) and the dependent variable (happiness).
Design the study: Determine the study design that will best test the hypothesis. This could involve selecting the sample population, deciding on the duration and intensity of exercise, and considering control groups or randomization techniques.
Collect data: Implement the study by gathering data on exercise habits and measuring happiness levels. This may involve surveys, questionnaires, or other measurement techniques.
Analyze the data: Use statistical analysis methods to examine the collected data and determine if there is a significant relationship between exercise and happiness. This could involve comparing means, conducting correlation analyses, or employing other appropriate statistical tests.
Draw conclusions: Based on the analysis, interpret the findings and draw conclusions regarding the hypothesis. Determine whether the data supports or refutes the hypothesis that exercise increases happiness.
Communicate the results: Share the findings with the scientific community through research papers, presentations, or other appropriate channels. This step allows other researchers to review and replicate the study.
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Right answer will be marked brainlist!!
Answer:
translation (-6,5)
Step-by-step explanation:
Rick deposited $1500 in a savings account that earns 6% interest for 4 years. How much money is in his account at the end of the 4 years?
Answer:
$5820
Step-by-step explanation:
1500*6%=90 per month
90*(48months=4yrs)=4320
1500+4320=5820
A baseball card collector has 225 plastic pages filled with a total of 3,375 cards.
Which rate represents the relationship between the cards and the number of pages?
15 cards per page
25 cards per page
15 pages per card
33 pages per card
Answer:
15 cards per page
Step-by-step explanation:
when a power is raised to a power, what operation is performed on the exponents?
Answer: The operation preformed is multiplication.
Step-by-step explanation: When you have a integer that is raised to a power, you must evaluate that integer first. For example, if you are asked to solve 2^3 + 4^7, you must first multiply. 2^3= 8 and 4^7= 16,384 then we must add these two products together to get 16,392.
How to find the product of to the power number: 8^3. We take eight and times it by it's self 3 times to get 512.
Hope this helps!
What is the largest fraction 3/4 7/8 4/5/7/9 7/100
2. If AABC is mapped onto AJED after a translation and AJED is mapped onto ARST after a line reflection, the relationship between AABC and ARST is that they are always
1) congruent and similar
2) congruent but not similar
3) similar but not congruent
4) neither congruent nor similar
The relationship between AABC and ARST is that they are always is neither congruent nor similar. 4.
The relationship between AABC and ARST, after the described transformations (translation and line reflection), can be determined based on the properties of the transformations.
Congruent and Similar:
Congruent figures have the same shape and size, while similar figures have the same shape but different sizes.
Since the question mentions a translation and a line reflection, these transformations preserve both shape and size.
If AABC and AJED are congruent due to the translation and AJED and ARST are also congruent due to the line reflection, then AABC and ARST would be congruent as well.
However, the question does not specify whether the figures are similar or not, so we cannot conclude that they are similar.
Congruent but Not Similar:
As mentioned earlier, congruent figures have the same shape and size.
If AABC and AJED are congruent due to the translation and AJED and ARST are congruent due to the line reflection, it follows that AABC and ARST would also be congruent.
We cannot determine whether they are similar or not.
Similar but Not Congruent:
Similar figures have the same shape but different sizes.
Since the question does not provide any information about the angles or side ratios of the figures, we cannot conclude that AABC and ARST are similar.
Neither Congruent nor Similar:
Based on the information given, this is the most accurate choice.
Without additional information about the angles or side ratios, we cannot determine whether AABC and ARST are congruent or similar.
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Whats 2/3 + 3/5 in fractions
Answer:
19/15
2/3+3/5
Multiply each by 3
10/15+9/15=19/15
\( = \frac{2}{3} + \frac{3}{5} \\ \)
\( = \frac{2}{3} \times \frac{5}{5} + \frac{3}{5} \times \frac{3}{3} \\ \)
\( = \frac{10}{15} + \frac{9}{15 \\ } \)
\( = \frac{10 + 9}{15} \\ \)
\( = \frac{19}{15} \\ \)
\( = 1 \frac{4}{15} \\ \)
calculate the double integral. 3xy2 x2 + 1 da, r = {(x, y) | 0 ≤ x ≤ 3, −2 ≤ y ≤ 2} r
The double integral for \(3xy^2/x^2+1\) is 8㏑(2).
\(3\int\limits^1_0 \int\limits^2_2 \frac{xy^2}{x^2 + 1} \, dy dx\)
3* 1/2 (㏑(2) - ㏑(1) ) * 1/3 (8+8)
8㏑(2)
A multiple integral in mathematics is a definite integral of a function with multiple real variables, such as f(x, y), or f(x, y) (x, y, z). In the real-number plane, integrals of functions of two variables over an area are referred to as double integrals, and integrals of functions of three variables over a region in real-number three-dimensional space are referred to as triple integrals.
The Cauchy formula for repeated integration can be used to calculate multiple integrals of a single-variable function.
The double integral of a positive function of two variables represents the volume of the region between the surface defined by the function (on the three-dimensional Cartesian plane where z = f(x, y)) and the plane that contains its domain, just as the definite integral of a positive function of one variable represents the area of the region between the graph of the function and the x-axis.
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x3 =15,180. Please help.
Answer:
I think the answer is 5060
You hear on the news that over the next 5 years the inflation rate will skyrocket to 12% if today a new blu-ray movie costs $19.99 assuming continuous compounding how much will the same disk cost in 5 years?
The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.
To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:
A = P * e^(rt)
Where:
A = Future value
P = Present value
e = Euler's number (approximately 2.71828)
r = Annual interest rate (in decimal form)
t = Time period in years
In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:
A = 19.99 * e^(0.12 * 5)
Calculating the exponent first:
0.12 * 5 = 0.6
Then:
e^0.6 ≈ 1.82212
Finally:
A = 19.99 * 1.82212 ≈ 36.42
Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.
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Solve by grouping 8x^3+3+6x^2+4x
Answer:
Step-by-step explanation:
Answer:
it cant be simplified but this is what i got
Step-by-step explanation:
sorry if its incorrect :')))))))
Can someone lend me a hand pleeeeeeeaaaaseeee :D
Answer:
2x^2 +11
Step-by-step explanation:
f(x) = 3x^2 +2
g(x) = x^2 -9
f(x) - g(x) = 3x^2 +2 - (x^2 -9)
Distribute the minus sign
= 3x^2 +2 -x^2 +9
Combine like terms
= 2x^2 +11
Answer:
2x² + 11
Step-by-step explanation:
f(x) - g(x)
(3x² + 2) - (x² - 9)
Rearrange.
3x² - x² + 2 + 9
Add or subtract like terms.
2x² + 11
Question 4 (1 point) Quadrilateral DKLM is a rhombus. M A If DA = 4x and AL = 5x - 3, find DL. Blank 1:
The length DL of the rhombus is 24 units
How to determine the length DLThe figure that completes the question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
DA = 4x
AL = 5x - 3
This means that
DA = A:
So, we have
5x - 3 = 4x
Evaluate the like terms
x = 3
So, we have
DL = 2 * DA
This gives
DL = 2 * 4 * 3
Evaluate
DL = 24
Hence, the length is 24 units
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The United States Postal Service (USPS) now offers a service that allows customers to ship packages at a flat rate based on box size (small, medium, large) rather than by weight. The USPS records the weight of all small packages shipped using this new service and finds a normally distributed variable with a mean of 6.9 pounds and a standard deviation of 10 ounces (.63 pounds).
Required:
What is the probability that a package shipped in a small size box will weigh more than 6 pounds?
The probability that a package shipped in a small size box will weigh more than 6 pounds is 0.9236, or 92.36%.
To find the probability that a package shipped in a small size box will weigh more than 6 pounds, we need to convert the weight of 6 pounds to the same unit as the mean and standard deviation given in the problem, which is pounds.
Since 1 pound is equal to 16 ounces, 6 pounds can be expressed as 6 * 16 = 96 ounces. Converting 96 ounces to pounds gives us 96 / 16 = 6 pounds.
Now that we have the weight in pounds, we can use the normal distribution to calculate the probability.
The mean weight of small packages is given as 6.9 pounds, and the standard deviation is 10 ounces, which is equivalent to 0.63 pounds. To find the probability that a package weighs more than 6 pounds, we need to calculate the area under the curve to the right of 6 pounds.
To do this, we can use a standard normal distribution table or a statistical calculator. Using the standard normal distribution table, we can find the corresponding z-score for 6 pounds by subtracting the mean from 6 pounds and dividing by the standard deviation:
z = (6 - 6.9) / 0.63 = -1.429
Looking up the z-score of -1.429 in the standard normal distribution table, we find that the corresponding area to the right of -1.429 is 0.9236.
Therefore, the probability that a package shipped in a small size box will weigh more than 6 pounds is 0.9236, or 92.36%.
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Qué medida de tendencia central (llamada a menudo promedio) es la más sensible a valores extremos?
Respuesta:
Significar
Explicación paso a paso:
Las medidas del centro incluyen la media, la mediana y la moda. La media se obtiene tomando la suma de los valores dividida por el número de valores individuales (frecuencia). La mediana es el percentil 50 de la distribución y la moda es el valor que ocurre con mayor frecuencia si se trata de una distribución. De todas las medidas, la media es la más afectada por la presencia.
Dados los datos:
2,4, 5, 2, 3, 3, 3, 5
La media = Σx / N = 2.3
Modo = 3
Mediana = 2, 2, 3, 3, 3, 4, 5, 5 = 1/2 * nth = 1/2 * 8 = 4to término = 3
Si se agrega un valor extremo: digamos 80
2, 2, 3, 3, 3, 4, 5, 5, 2, 80
Nueva media = Σx / N = 11,88
Mediana = 1/2 (n + 1) th término
Mediana = 1/2 (10) término = 3
Modo = 3
Podemos ver que la inclusión de 80, que es un valor extremo, cambia significativamente el valor medio.
2) The following problem concerns the production planning of a wooden articles factory that produces and sells checkers and chess games as its main products (x1: quantity of checkers to be produced; x2: quantity of chess games to be produced). The first restriction refers to the raw material used in the two products. The objective function presents the profit obtained from the games:
Maximize Z = 3x1 + 4x2
subject to:
x1-2x2 >= 3
x1+x2 <= 4
x1,x2 >= 0
a) Explain the practical meaning of the constraints in the problem.
b) What quantities of each game should be produced and what profit can be achieved?
To maximize profit, the factory should produce 2 checkers and 1 chess game, achieving a profit of 11.
What is the optimal production plan and profit?The given problem involves the production planning of a wooden articles factory that specializes in checkers and chess games. The objective is to maximize the profit obtained from these games. The problem is subject to certain constraints that need to be taken into account.
The first constraint, x1 - 2x2 >= 3, represents the raw material availability for the production of the games. It states that the quantity of checkers produced (x1) minus twice the quantity of chess games produced (2x2) should be greater than or equal to 3. This constraint ensures that the raw material is efficiently utilized and does not exceed the available supply.
The second constraint, x1 + x2 <= 4, represents the production capacity limitation of the factory. It states that the sum of the quantities of checkers and chess games produced (x1 + x2) should be less than or equal to 4. This constraint ensures that the factory does not exceed its capacity to produce games.
The third constraint, x1, x2 >= 0, represents the non-negativity condition. It states that the quantities of checkers and chess games produced should be greater than or equal to zero. This constraint ensures that negative production quantities are not considered, as it is not feasible or meaningful in the context of the problem.
To determine the optimal production plan and profit, we need to solve the problem by maximizing the objective function: Z = 3x1 + 4x2. By applying mathematical techniques such as linear programming, we can find the values of x1 and x2 that satisfy all the constraints and yield the maximum profit. In this case, the optimal solution is to produce 2 checkers (x1 = 2) and 1 chess game (x2 = 1), resulting in a profit of 11 units.
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5) A storage tank is in the shape of a cylinder with a hemisphere on the top. The highest point on the inside of the storage tank is 13 meters above the floor of the
storage tank, and the diameter inside the cylinder is 8 meters. Determine and state, to the nearest cubic meter, the total volume inside the storage tank.
The total volume inside the storage tank is 586 cubic meters.
What is volume?
The volume of any three-dimensional solid is just the amount of space it occupies. These solids can include a cube, cuboid, cone, cylinder, or sphere.
We are given that a storage tank is in the shape of a cylinder with a hemisphere on the top and the highest point is 13 meters above the floor of the storage tank with the diameter inside the cylinder measuring 8 meters.
Now, by applying the cylinder and hemisphere formula, we get
⇒ Volume = π\(r^{2}\)h + \(\frac{2}{3}\)π\(r^{3}\)
⇒ Volume = π * \(4^{2}\) * 9 + \(\frac{2}{3}\) * π * \(4^{3}\)
⇒ Volume = π * ((16* 9)+ (\(\frac{2}{3}\) * 64))
⇒ Volume = π * (144+ 42.67)
⇒ Volume = 33.14 * (144+ 42.67)
⇒ Volume = 33.14 * 186.67
⇒ Volume = 586.14 cubic meters
Hence, the total volume inside the storage tank is 586 cubic meters.
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match the fraction/decimal with the percentage
MARKING BRIANIEST!
Yoink:
hey imma yoink your points and not answer the question ok?
Jk:
jk, number 1 is b
number 2 is a
number 3 is d
and number 4 is c
State the formula for testing the significant difference between
two population variances
The formula for testing the significant difference between two population variances is the F-test. The F-test is used to compare the variances of two populations and is calculated by dividing the larger variance by the smaller variance. The formula for the F-test is:
F = s1^2 / s2^2
Where s1^2 is the variance of the first population and s2^2 is the variance of the second population.
If the calculated F value is greater than the critical F value from the F distribution table, then there is a significant difference between the two population variances. If the calculated F value is less than or equal to the critical F value, then there is not a significant difference between the two population variances.
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Hi, I need help involving a problem with set builder and interval notion. I will include a picture of it. Thank you so much
-4 is not included, that is why the open interval and the symbol of ) are used
Choices below
The exponential grows at approximately half the rate of the quadratic.
The exponential grows at approximately the same rate as the quadratic.
The exponential grows at approximately twice the rate of the quadratic.
The exponential grows at approximately four times the rate of the quadratic.
Answer:
The exponential grows at approximately half the rate of the quadratic.
Step-by-step explanation:
Average rate of change of function f(x) over the interval a ≤ x ≤ b :
\(\dfrac{f(b)-f(a)}{b-a}\)
Interval: \(0\leq x\leq 1\)
\(\implies a=0, b=1\)
Quadratic function: \(f(x)=2x^2\)
\(\implies f(0)=2(0)^2=0\)
\(\implies f(1)=2(1)^2=2\)
\(\implies \textsf{Average rate of change}=\dfrac{f(1)-f(0)}{1-0}=\dfrac{2-0}{1}=2\)
Exponential function: \(f(x)=2^x\)
\(\implies f(0)=2^0=1\)
\(\implies f(1)=2^1=2\)
\(\implies \textsf{Average rate of change}=\dfrac{f(1)-f(0)}{1-0}=\dfrac{2-1}{1}=1\)
Therefore, the exponential grows at approximately half the rate of the quadratic in the interval \(0\leq x\leq 1\)
Points $A(-1, -2)$ and $B(3, 2)$ are the endpoints of a diameter of a circle graphed in a coordinate plane. How many square units are in the area of the circle? Express your answer in terms of $\pi$.
Answer:
8 pi square units
Step-by-step explanation:
AB=V[3-(-1)]^2+[2-(-2)]^2=V16+16=V4^2*2=4V2
radius =4V2/2=2V2
Area=pi*(2V2)^2=8pi square units
Write the ratios for sin x and cos x.
Answer:
Sine x = \(\frac{opposite}{hypothenuse}\\\)
Sine x = \(\frac{\sqrt{119} }{12}\)
Cosine x = \(\frac{adjacent}{hypothenuse}\)
Cosine x = \(\frac{5}{12}\)
A 2-column table with 4 rows titled Drama Club Revenue. Column 1 has entries a percent, a percent, a percent, a percent. Column 2 has entries b dollars, b dollars, b dollars, b dollars.
A drama club made $3,200 from a school play. Seventy-five percent of that amount came from ticket sales. Identify the values of the variables in the model. Then use the model to find the amount of ticket sales.
a =
b =
The amount of ticket sales is $
.
Answer:
A: 25
B: 800
C: 2,400
Step-by-step explanation:
Hopes this helps. :) ( Unless you have already solved ) Just have a good day.
Answer:
A: 25
B: 800
C: 2,400
Step-by-step explanation:
A car salesperson had $85,460 in total monthly sales in September and $74,570 in October. The salesperson earned a total of $3,485 in commission from those sales combined.
What is the salesperson's commission as a percent of the total monthly sales?
Enter your answer, rounded to the nearest tenth of a percent, in the box.
Answer:
2.2%
Step-by-step explanation:
i took the test!
Can you help me for these 3 questions.
Answer:
Step-by-step explanation:
1) a + a
2) 2n+4 = 6n
3) 1
4n = 4
n = 1
A florit ha 55 flower he want to put the ame number of flower in each vae without a leftover. Hould he put 2,3 or 5 flower in each vae?
As per the combination method, if we take 5 vases, then we can put 11 flowers on each of them then we have the given combinations.
Here we have given that the florist has 55 flower and then he want to put the them in the same number of flower in each vase without a leftover.
Here we need to find the number of ways to put them as 2,3 or 5 flower in each vase.
If we take 2 vase, then here we have total number of 55 flower, then it can be separated as,
Here we have to take 25 flowers on first vase and then we have to put the remaining 30 flowers on the second vase because here we have taken one 2 vase.
Then the partition can be written as
=> 25 + 30
If we take 3 vase, then we get the following combination on it.
In the similar way here we have take the 3 vases, and then we have to divide the flowers in the following manner,
=> 25 + 15 + 15
Similarly, if we take 5 vases, then we can put 11 flowers on each of them then we have the given combinations.
Then if we take the 5 vases then we have to put the flowers in the following manners,
=> 11 + 11 + 11 + 11 + 11
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A pair of linear equations is shown
y=-3x5
y=x+2
Which of the following statements best explains the steps to solve the pair of equations graphically?
on a graph, find the point of intersection stwo lines; the first line has y-intercept - 5 and slope - -3, and the second line has y-intercept = 2 and slope - 1.
On a graph, find the point of intersection of two lines, the first line has y-intercept -3 and slope - 5, and the second line has y-intercept - 1 and slope - 2.
On a graph, find the point of intersection of two lines, the first line has y-intercept -- and slope - 3, and the second line has y-intercept = -2 and slope --1
On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope -5, and the second line has y-intercept -1 and slope --2.
Answer:
y=-3×5
so'n
y=-15ans
another has no number only one number 2 alphabets
Multiply (x + 2y)(x2 − xy + 3y).
Answer:
\( {x}^{3} + {x}^{2} y + 3xy - 2x {y}^{2} + 6 {y}^{2} \)