If it takes Joan 10 weeks to make 2 dollhouses, how long will it take her to make 15 dollhouses?
10 points
A. 75 weeks
B. 3 weeks
C. 30 weeks
D. 150 weeks
Answer:
D 150 thats easy multiply or add
PLEASE HELP!!!
Henry has a bag of marbles. The bag contains 4 red marbles, 2 blue
marbles, 3 green marbles, and 1 yellow marbles. She will randomly select two marbles from
the bag one at a time without replacement What is the probability that Henry will select a
blue marble first and then a yellow marble?
Factor by grouping: 16x³ +28x² - 28x - 49 = 0
A) (4x²-7) (4x + 7) = 0
B (4x² + 7) (4x + 7) = 0
C(4x² + 7) (4x - 7) = 0
D (4x² - 7) (4x - 7) = 0
Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is (4x² - 7) (4x - 7) = 0
What is factoring by grouping?Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.
We have the equation,
16x³ +28x² - 28x - 49 = 0
In order to solve the equation by using factor by grouping:
We find common terms in between,
So, we arrange the terms,
16x³ +28x² - 28x - 49 = 0
4x² (4x - 7) -7 (4x - 7) = 0
Here, we have common term (4x-7).
Factor out the common binomial.
(4x² - 7) (4x - 7) = 0
Therefore, (4x² - 7) (4x - 7) = 0 is the factor.
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Which description represents the equation 7x - 2 = 33?
1. Two less than seven times a number equals thirty-three.
2. Two times the quantity of seven less than a number equals thirty-three.
3. Seven less than two times a number equals thirty-three.
4. Seven times two minus a number equals thirty-three.
Hi there!
»»————- ★ ————-««
I believe your answer is:
"1. Two less than seven times a number equals thirty-three."
»»————- ★ ————-««
Here’s why:
We are given the equation of \(\boxed{7x-2=33}\).⸻⸻⸻⸻
\(\boxed{\text{Breaking the equation down:}}\\\\7x-2=33\\-------\\\rightarrow \text{'7x' - Seven times a number. The unknown value is 'x'.}\\\\\rightarrow \text{' - 2' - Minus 2.}\\\\\rightarrow \text{'= 33' - Equals 33.}\\---------\\\text{The phrase "'X' less than 'Y'" indicates:}\\\\Y - X \\---------\\\text{Two less than 7 times a number would be:}\\\\\boxed{7x - 2}\)
⸻⸻⸻⸻
The first statement should be the appropriate statement for the given equation.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
I need help on this can u plz help
Answer:
Your answer(s) are A because 0,0 goes through the point also D cause it goes through and E
Step-by-step explanation:
A,D,E hope its right:()
organizations such as the u.s. centers for disease control (cdc) often use data collected from hospitals. what kind of data is the cdc using if it is collected by hospitals, then sold to the cdc for its own analysis? 1 point
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of plotting data.
Data plotting: What is it?The most typical method of utilizing a chart to convey data is to graph the correlation of two additional variables. Diagrams created by hand or using a computer are also acceptable. From the origin, go three up, then 2 pieces to the right. On the reference system, it is important to display the digits for positions 2, 3, and 4. Be really explicit with your points. The pinkish squiggle with the letter P represents the value of 2.3. You must first generate a number line for each number in a collection of data to be able to create a chart.
Here,
Given :
Data gathered from hospitals is frequently used by institutions like the US Center of Disease Control (cdc).
In order to determine what data they use,
From the information provided, it is clear that they are using second-party data.
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of charting the data.
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The quantities x and y are proportional. Use each of the integers 1-5 to complete the table. **CORRECT ANSWER IS GIVEN BRAINLEST POINTS**
Answer:
x 10 4 6 1
y 5 2 3 0.5
Step-by-step explanation:
You have to start with a guess and see if it works. If it works, you're done. If it doesn't work, you need to make a difference guess.
I'll start by guessing that above the 0.5 is a 1.
If that is correct, then every x value is double the y value below it.
5 goes below the 10. 3 goes below the 6. Then you have 4 and 2 left.
That is every whole number from 1 to 5. It works.
x 10 4 6 1
y 5 2 3 0.5
U(x
1
,x
2
)=x
1
α
x
2
1−α
,0<α<1
x
1
p
1
+x
2
p
2
=w
where x
1
and x
2
are consumption goods, p
1
and p
2
are the prices of those consumption goods respectively, α is a parameter, and w is the consumer's wealth. (i) [4 points] Find the partial derivative of U(x
1
,x
2
) with respect to x
1
and x
2
.
The partial derivative of the utility function \(U(x_1, x_2)\) with respect to \(x_1\) is \(a * x_1^{(a-1)} * x_2^{(1-a)}\), and the partial derivative with respect to \(x_2\) is \((1-a) * x_1^a * x_2^{(-a)}.\)
The utility function \(U(x_1, x_2)\) represents a consumer's satisfaction or preference for two consumption goods, \(x_1\) and \(x_2\). The partial derivatives provide insights into how the utility function changes as we vary the quantities of the goods.
To calculate the partial derivative with respect to \(x_1\), we differentiate the utility function with respect to \(x_1\) while treating \(x_2\) as a constant. The result is \(a * x_1^{(a-1)} * x_2^{(1-a)}\). This derivative captures the impact of changes in \(x_1\) on the overall utility, taking into account the relative importance of \(x_1\)(determined by the parameter a) and the quantity of \(x_2\).
Similarly, to find the partial derivative with respect to \(x_2\), we differentiate the utility function with respect to \(x_2\) while treating \(x_1\)as a constant. The resulting derivative is \((1-a) * x_1^a * x_2^{(-a)}.\). This derivative shows how changes in \(x_2\) affect the overall utility, considering the relative weight of \(x_2\) (given by 1-a) and the quantity of \(x_1\).
In summary, the partial derivatives provide information about the sensitivity of the utility function to changes in the quantities of the consumption goods, allowing us to understand the consumer's preferences and decision-making.
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Find all solutions to the equation.
sin x = square root of three divided by two.
A pi divided by three plus two n pi comma five pi divided by three plus two n pi such that n equals zero, plus or minus one, plus or minus two to infinity.
B pi divided by six plus two n pi comma five pi divided by six plus two n pi such that n equals zero, plus or minus one, plus or minus two to infinity.
C pi divided by three plus two n pi comma two pi divided by three plus two n pi such that n equals zero, plus or minus one, plus or minus two to infinity.
D pi divided by three plus n pi such that n equals zero, plus or minus one, plus or minus two to infinity.
Answer:
Answer is C
Step-by-step explanation:
I just took the test.
find the area of the circle 26 in. rounded to the nearest tenth
Answer:
πr²
22/7*13²
22/7*169
3718/7
531.145
to the nearest tenth
531.15inches
State the range of the function.
A. -2 ≤ y ≤ 2
B. y ≤ 2
C. -4 ≤ y ≤ 4
D. {-2,-1,0,1,2}
I need your help on this.
Answer:
46 inches
Step-by-step explanation:
Answer:
The answer is 46 inches.
Step-by-step explanation:
138 / 3 = 46.
Hector left his house at (−6, 13) on a map of Coleville and walked to the zoo at (−6, 2). From there he walked east to his friend’s house. He walked a total distance of 25 blocks. If each unit on the map represents one block, what are the coordinates of Hector’s friend’s house?
:( this is hard....
To determine whether students
want a new school mascot, Abby
surveys every 25th student from an
alphabetized list of students in the
school. Will the survey results from
this sample support a valid inference?
Explain.
Using sampling concepts, it is found that the sample would not support a valid inference, as both alphabetized and non-alphabetized students should be sampled.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
The school has both alphabetized and non-alphabetized students, and both groups should be sampled for a valid inference to be made. Since only alphabetized students are sampled, the sample would not support a valid inference.
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The above problem has completed the first step, distributing both sides of the equation.
Finish the problem and determine the value of x.
Find the x- and y- intercept of each linear equation.2x-3y=-18
To find the x and the y intercepts it is necessary to replace for 0 the variable that you don't need and then clear the needed one from the equation.
It means, to find the x intercept, replace y for 0 and clear x from the equation:
\(\begin{gathered} 2x-3y=-18 \\ 2x-3\cdot0=-18 \\ 2x=-18 \\ x=-\frac{18}{2} \\ x=-9 \end{gathered}\)The x intercept is -9
To find the y intercept, replace x for 0 and clear y from the equation:
\(\begin{gathered} 2x-3y=-18 \\ 2\cdot0-3y=-18 \\ -3y=-18 \\ y=-\frac{18}{-3} \\ y=6 \end{gathered}\)The y intercept is 6
write and solve a system of linear equations to find the values of $x$ and $y$ . a quadrilateral. the angles of the quadrilateral are 5x degrees, (4y minus 2 )degrees, (13x plus 10 )degrees, and 10y degrees.
As per the angle sum property of quadrilateral, then values of x is 245 and the value of y is 341
Angle sum property of quadrilateral:
The angle sum property states that the sum of all the angles of the quadrilateral is 360 degree.
Given,
The angles of the quadrilateral are 5x degrees, (4y minus 2 )degrees, (13x plus 10 )degrees, and 10y degrees.
Now we have to write and solve a system of linear equations to find the values of x and y.
While we looking into the given angles, then we get the values
=> 5x°
=> (4y - 2)°
=> (13x + 10)°
=> 10y°
We know that, the sum of all the angles of the quadrilateral is 360°.
So, it ca be written as,
=> 5x° + (4y - 2)° + (13x+ 10)° + 10y° = 360°
=> 18x° + 14y° - 8° = 360°
=> 18x° + 14y° = 354°
When we divide all of them by 2, then we get the equation as,
=> 9x° + 7y° = 177°
Now we have to rewrite the given equation as,
=> 9x° = 177° - 7y°
=> x° = (177° - 7y°)/9
Apply these value on the angles, then we get,
=> 13(177 - 7y)/9 = -10
=> 13(177 - 7y) = 90
=> -7y = -90 - 2301
=> 7y = 2391
=> 341
Then the value of x is
=> 245
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Please help i need help with this answer please answer i will give brainliest
Answer:
number 2
Step-by-step explanation:
Over which interval is the graph of the parent absolute value function decreasing?
(–[infinity], [infinity])
(–[infinity], 0)
(–6, 0)
(0, [infinity])
The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.
The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.
Let's analyze the behavior of the parent absolute value function:
For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.
For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.
At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.
Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).
In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.
On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.
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4. Complete the following explanation to show that the sum of two rational numbers a
rational number.
Let a,b,c and d be integers. Let x and y be rational numbers. Consider the following
expression:
* = and y =
The above expressions represent the
If x + y = y + x
represents the
then, we can use the
to show that x +y = 3+. Using the rule for addition of
fractions to write an equivalent expression for x + y = 4+we obtain
The product of two integers results in an integer, so bd, ad and cb are all integers. Also.
since the sum of two integers results in an integer, ad + cb is an integer. Therefore,
xty is
Jasmine created a scale drawing of her room. She used a scale of 1 in:3 feet. The drawing is 8 inches long by 6 inches wide. What is the area of the room in square feet?
Answer:
The area of the room is 432 square feet
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ The scale drawing of the room is 1 inch: 3 feet
→ That means each 1 inch in the drawing represents 3 feet in real
∵ The drawing is 8 inches long by 6 inches wide
∴ The drawing length of the room = 8 inches
∴ The drawing width of the room = 6 inches
→ By using the ratio method
→ inches : feet
→ 1 : 3
→ 8 : L
→ 6 : W
→ By using the cross multiplication
∵ 1 × L = 8 × 3
∴ L = 24
∴ The actual length of the room is 24 feet
∵ 1 × W = 6 × 3
∴ W = 18
∴ The actual width of the room is 18 feet
Use the formula of the area of the rectangle to find the area of the room
∵ Area of rectangle = length × width
∴ Area of the room = 24 × 18
∴ Area of the room = 432 feet²
∴ The area of the room is 432 square feet
If f(x) = x2 + 4x - 12, find f(2).
Answer:
-3
Step-by-step explanation:
Please write this as f(x) = x^2 + 4x - 12. "x^2" represents "the square of x."
f(2) is the value of this function when x = 2:
f(2) = f(2) = (2)^2 + 4(2) - 12 = 9 - 12 = -3
əz 22. Suppose z= z(x, y) is implicitly determined by ln(x+y+z) = x+2y+3z. Then dy (z.y.a)=(-1,5,-3)
the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).
n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).
To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.
Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.
Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.
Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).
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Kristen's financial advisor has given her a list of 8 potential investments and has asked her to select and rank her favorite four. In how many different ways can she do this?
The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.
If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:
nPr = n!/{(n - r)!}.
In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.
Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.
Substituting n = 8, and r = 4 in the formula, we get:
8P4 = 8!/{(8 - 4)!}
= 8!/4!
= 5 * 6 * 7 * 8
= 1680.
Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
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WILL MARK BRAINLIEST!!!
Answer:
NO
Step-by-step explanation:
it doesnt satisfy pythagorean theorem
Totally out of points
Need triangle geom help !
Answer:
B. ∠BAC
Step-by-step explanation:
The angle opposite the largest side has the largest angle.
Help me with this question please
Answer:
Part A: 14
Part B: 10
Step-by-step explanation:
Since the ratio to each paint is the same...
(red/yellow) 2/5=x/35
Cross Multipy
5x=70
x=70/5
x=14
Repeat the same thing but replace 35 with 25 for Part B
2/5=x/25
Cross Multiply
5x=50
x=10
Type 980,642 in word form.
Answer:
nine thousand eighty, six-hundred forty-two.
Step-by-step explanation:
hope i helped!
How would you go about identifying the polarity of the single-phase transformer? Include drawing
Reading at L1 and L2= 121v
2 & 3 are connected, reading at 1 & 4 = 26.47v
2 & 4 are connected, reading at 1 & 3 = 7.32v
6 & 7 are connected, reading at 5 & 8 = 25.78v
5 & 7 are connected, reading at 6 & 8 = 5.42v
2 & 3 are connected, 4 & 5 are connected, 6 & 7 are connected, Reading at 1 & 8 = 52.27v
Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.
The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.
To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.
When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.
Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.
Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.
For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.
Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.
By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.
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can you help me with this please someone?
Answer:
d
Step-by-step explanation: