Answer:
\(\sqrt[4] {x^3}\)
Step-by-step explanation:
At this point, we can transform the square root into a fourth root by squaring the argument, and bring into the other root:
\(\sqrt x \cdot \sqrt[4] x =\sqrt [4] {x^2} \cdot \sqrt[4] x = \sqrt[4]{x^2\cdot x} = \sqrt[4] {x^3}\)
Alternatively, if you're allowed to use rational exponents, we can convert everything:
\(\sqrt x \cdot \sqrt[4] x = x^{\frac12} \cdot x^\frac14 = x^{\frac12 +\frac14}= x^{\frac24 +\frac14}= x^\frac34 = \sqrt[4] {x^3}\)
Answer:
= 4√X^3
Step-by-step explanation:
√X x 4√X
X1/2 x X1/4
X1/2 + 1/4
X2+1/4
X3/4
simplify X3/4
= 4√X^3
help?????Miranda and Rory are multiplying 413
by different fractions. The table shows their work.
Rory's product is____
Mirandas because Rory is multiplying by a factor ______.
Rory's product is less than Maranda's because 13/9 is less than 13/3
Describe Fraction?In mathematics, a fraction represents a part of a whole. A fraction consists of two numbers separated by a horizontal line called a fraction bar or a division sign. The number above the bar is called the numerator, and the number below the bar is called the denominator.
The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This fraction represents three parts out of a total of four equal parts.
Fractions can be written in different forms, such as proper fractions, improper fractions, and mixed numbers.
A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.
An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.
A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.
Fractions are used in many real-life situations, such as cooking, measuring, and financial calculations. They are also an essential part of mathematics and are used in operations such as addition, subtraction, multiplication, and division.
From the table, it appears that Maranda multiplied 4 1/3 by 4 1/3 and then by 1/3, while Rory multiplied 4 1/3 by 1/3 and then by 4 1/3.
Multiplying by 1/3 first reduces the overall size of the number being multiplied, resulting in a smaller product. This is what Rory did, which is why their product is less than Maranda's.
On the other hand, Maranda multiplied by the larger numbers first and then by the smaller fraction, resulting in a larger overall product.
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The complete question is:
Maranda and rory are multiplying 4 1/3 by different fractions the table shows there work
maranda / rory why is rory's product less than maranda's
4 1/3 x 4 1/3 x 1/3
3/3 =4 1/3 1 4/9
Provide the missing reasons for the following proof:
(In the picture)
Options
- Transitive Property of
Congruence
- Subtraction Property of
Equality
- Vertical Angles Theorem
(VAT)
- Division Property of
Equality
- Given
- Angle Congruence
Postulate
- Substitution Property of
Equality
The missing reasons are for the given two triangles VXW and VYZ are found.
What is defined as the congruent triangles?The assessments of the sides and angles of two or so more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. Two triangles have been shown to be congruent if the pairs of their corresponding angles and sides are equal. They are the same size and shape.The missing reasons for the following proof are -
∠XVW ≅ ∠W ; - Given∠XVW ≅ ∠ZVY ; Vertical Angles Theorem (VAT)m ∠ZVY ≅ ∠W ; Transitive Property of Congruence80x + 13 = 75x + 28 ; Angle Congruence Postulate5x = 15 ; Substitution Property of Equalityx = 3 ; Division Property of EqualityThus, the missing reasons are for the given two triangles VXW and VYZ are found.
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as the number of degrees of freedom become large, the t distribution approaches the binomial distribution. group of answer choices true false
As the number of degrees of freedom become large, the t distribution actually approaches the normal distribution, not
the binomial distribution. The correct answer is false.
The t distribution is used when the sample size is small and the population standard deviation is unknown, while the
binomial distribution is used for discrete data where there are only two possible outcomes.
The binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of
independent trials with a constant probability of success, whereas the t distribution is a continuous probability
distribution that models the variability of sample means from a normal population.
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40 cm³ of water is poured into an empty measuring cylinder. A stone of mass 129g is put into the cylinder. If the density of the mixture of the stone is 8.6g/cm³, find the new reading of the cylinder.
Step-by-step explanation:
I assume the measuring cylinder measures the cm³ of its normally liquid content.
because for anything else we would need more information about the dimensions of the cylinder.
and so, originally the cylinder shows 40 cm³.
after dropping the stone in, how many cm³ of water is the cylinder then showing ?
let's first mention some facts we are going to use :
water weighs 1 kg (1000 g) per liter.
and 1 liter fits exactly into a cube of
10 cm × 10 cm × 10 cm = 1000 cm³
so, 1 cm³ water weighs exactly 1 g and has therefore a density of 1 g / cm³.
the stone has a density of 8.6 g / cm³, is therefore heavier than water and sinks (and replaces water correspondingly).
how many cm³ does the stone have (and replaces water) ?
well, it has 129 g, and 8.6 g of the stone fill a cm³.
so, it has
129 / 8.6 = 15 cm³
therefore, as these 15 cm³ of stone replace 15 cm³ of water, this is the same as putting 40 + 15 = 55 cm³ of water into the measuring cylinder.
and the cylinder reads now 55 cm³.
FYI : but there is still only 40 cm³ of water in there.
this is actually used to calculate the density of objects (by first weighing and then dropping them into the water to see how much water they replace).
Answer: 55 cm³.
Step-by-step explanation:
\(\displaystyle\\m_{stone}=129\ g\ \ \ \ \ \rho_{stone}=8,6\ \frac{g}{cm^3} \ \ \ \ \ V_{water}=40\ cm^3\ \ \ \ \ V=?.\\ \boxed {\rho=\frac{m}{V} }\\V=\frac{m}{\rho} \\V=V_{water}+V_{stone}\\V_{stone}=\frac{m_{stone}}{\rho_{stone}} \\V_{stone}=\frac{129}{8,6}\\V_{stone }=15\ cm^3.\\V=40+15\\V=55\ cm^3.\)
PLEASE HELP I NEED HELP ASAP PLEASE
Use the information given to write the equation for the quadratic function.
a. The x-intercepts are (-4, 0) and (3,0), and the parabola opens down.
b. The vertex is (-8, -2), and the parabola opens up.
Answer:
y = -x² - x/22 + 6/11
Step-by-step explanation:
Standard form, is y = ax² + bx + c
We need to use standard form (though we could use vertex form, but it is easier to do standard form)
Substitute the x and y values that they give into y = ax² + bx + c
Because the parabola passes through...
(-4, 0), then 0 = (-4)²a + (-4)b + c
(3, 0), then 0 = 9a + 3b + c
(-8, -2), then -2 = 64a - 8b + c
So, we get this system:
16a − 4b + c = 0
9a + 3b + c = 0
64a − 8b + c = −2
Because you are learning about parabolas, I am assuming that you can solve a system, but the answers are:
a = -x²/22
b = -x/22
c = 6/11
So, the equation of the parabola is:
y = -x²/22 - x/22 + 6/11
I hope this helps! Feel free to ask any questions!
An isosceles triangle has been constructed so that its height is half its base. Find the dimensions of the
triangle if the area is 64 m².
Answer: 4 8×8= 64 half the base which is 8 =4
Step-by-step explanation:
Answer:
height = 8 m
base = 16 m
Step-by-step explanation:
Let base = 2x m
So, height = half its base = \(\frac{2x}{2} = x \ m\)
Area = 64 m²
\(\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64\)
x * x = 64
x * x = 8 * 8
x = 8 m
Base = 2x = 2*8 = 16 m
⚠️WILL GIVE BRAINLIEST⚠️
Answer:
The answer is D
Step-by-step explanation:
I solved this with graphing and got d trust me
pls mark brainliest
The picture shows the formula for standard deviation. What does x represent in the formula
The value x in the formula represents the value of each observation of the data-set.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the cardinality of the data-set, which is the number of values in the data-set.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set.More can be learned about standard deviation at https://brainly.com/question/24298037
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The proof that ΔACB ≅ ΔECD is shown.
Given: AE and DB bisect each other at C.
Prove: ΔACB ≅ ΔECD
Triangles A B C and C D E share common point C.
A flow chart has 5 boxes with arrows facing downward connecting the boxes. Each of the boxes are labeled. Box 1 contains line segment A E and line segment B E bisect each other at C and is labeled given. Box 2 contains line segment A C is-congruent-to line segment E C and is labeled definition of bisector. Box 3 contains question mark and is labeled vertical angles theorem. Box 4 contains line segment D C is-congruent-to line segment B C and is labeled definition of bisector. Box 5 contains triangle A C B is-congruent-to triangle E C D and is labeled SAS.
What is the missing statement in the proof?
∠BAC ≅ ∠DEC
∠ACD ≅ ∠ECB
∠ACB ≅ ∠ECD
∠BCA ≅ ∠DCAThe proof that ΔACB ≅ ΔECD is shown.
Given: AE and DB bisect each other at C.
Prove: ΔACB ≅ ΔECD
Triangles A B C and C D E share common point C.
A flow chart has 5 boxes with arrows facing downward connecting the boxes. Each of the boxes are labeled. Box 1 contains line segment A E and line segment B E bisect each other at C and is labeled given. Box 2 contains line segment A C is-congruent-to line segment E C and is labeled definition of bisector. Box 3 contains question mark and is labeled vertical angles theorem. Box 4 contains line segment D C is-congruent-to line segment B C and is labeled definition of bisector. Box 5 contains triangle A C B is-congruent-to triangle E C D and is labeled SAS.
What is the missing statement in the proof?
∠BAC ≅ ∠DEC
∠ACD ≅ ∠ECB
∠ACB ≅ ∠ECD
∠BCA ≅ ∠DCA
Answer:
C. angle ACB is congruent to angle ECD
Step-by-step explanation:
If you drew it out, all you had to figure out from the proof was what a vertical angle is and where are those angles.
Brainliest?
Hope this helps.
Just took the test edu2020
Congruent triangles are similar triangles.
The statement that completes the proof is \(\mathbf{\angle ACB \cong ECD}\)
From the complete question (see attachment), we have the following highlights
\(\mathbf{AC\cong CE}\).\(\mathbf{BC\cong CD}\)The angle at point C of both triangles are congruent
i.e. \(\mathbf{\angle ACB \cong ECD}\)
This means that the missing statement of the proof is that the angles at C of both triangles are congruent.
Hence, the statement that completes the proof is \(\mathbf{\angle ACB \cong ECD}\)
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Linda has 57 coins consisting of nickels, dimes, and quarters. She has twice as many dimes as nickels. If the coins are worth a total of $7.25, write system of equations is used to determine how many of each coin Linda ha
Answer:
64.25
Step-by-step explanation:
57+7.25=64.25
what is the probability that a randomly selected gas station in russia charged more than the mean price in the united state
The probability that a randomly selected gas station in Russia charges more than the mean price in the United States is quite low.
This is because the prices of gas in Russia are typically much lower than the mean price of gas in the United States. The average cost of gasoline in Russia is around $0.50 per liter while in the United States, the average price of gas is around $1.78 per liter.
To explain further, the cost of living in Russia is lower than the cost of living in the United States. This means that there is more disposable income for people living in Russia and as a result, the price of gas is much lower than in the United States.
In addition, the cost of transportation and other production costs are lower in Russia than in the United States, which also keeps the prices of gas in Russia lower.
All of these factors make it unlikely that a randomly selected gas station in Russia would be charging more than the mean price in the United States.
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column A
1. 4.08÷4=N
2. 2.25÷1.5=N
3. 106.26÷4.2=N
4. 71.46÷0.2=N
5. 3.015÷15=N
Column B
A 25.3
B 357.3
C 0.201
D 1.5
E 1.02
with solution plss
Column A and B matching the results with the operations
4.08÷4=1.02 (N=1.02) A2.25÷1.5=1.5 (N=1.5) D106.26÷4.2=25.3 (N=25.3) A71.46÷0.2=357.3 (N=357.3) B3.015÷15=0.201 (N=0.201) CWhat is the initial amount in the function y = 15 * 3x ?
Answer:
y + 5 = x
Step-by-step explanation:
y= 15 * 3x
Subtract 15 on both sides
y - 15 = 3x
Divide 3 on both sides
y + 5 = x
(I hope this helps and sorry if i'm wrong)
On Saturday, Casey earns $15 babysitting. On Sunday, she receives $68 for her birthday. Casey purchases a belt for $11.50, a sweater for $23.24, and a pair of jeans for $29.99. She deposits the remaining money into her savings account. If Casey had a balance of $37.23 in her savings account before making her deposit, how much money does she currently have in her savings account?
Answer:
55.50
Step-by-step explanation:
PLS HELP at a summer camp there are 876 girls and 25 boy how many more girls are there then boys
Answer:851
Step-by-step explanation:
PLEASE HELP 20 POINTS
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about point P.
A -105
B -75
C 75
D 105
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about point P at; D: 105°
How to Interpret Rotation of objects?From the given image, If we connect points C of the blue quadrilateral to point C' of the rotated quadrilateral using the center of rotation P, then we will notice that ∠CPC' will be greater than 90°.
Now, the rotation is counterclockwise and it therefore means that the angle of rotation is will be positive and since ∠CPC' is greater than 90°, then we can say that the only correct option is Option D which is 105°
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The quilt is made of squares with diagonals. the length of BD is 4. what is the area of square ABCD
Answer:
8
Step-by-step explanation:
1/2 x 4^2 = a
4^2= 16
1/2 of 16 = 8
Answer:
16
Step-by-step explanation:
Since the shape is a square, and one of the sides is 4, we can multiply it by 4 (because there are 4 sides in a square), and get 16
ce are of the rectangular prism below.
Round your answer to the nearest tenth.
9.4m
3.0m
4.1m
The surface area of the rectangular prism to the nearest tenth is 158.1 m²
What is the surface area of the rectangular prism?Surface area = 2(LW+LH+WH)
Where,
Length, L = 9.4m
Width, W = 4.1m
Height, H = 3.0m
Surface area = 2(LW+LH+WH)
= 2(9.4×4.1 + 9.4×3.0 + 4.1×3.0)
= 2(38.54 + 28.2 + 12.3)
= 2(79.04)
= 158.08 m²
Ultimately, the prism with dimensions 9.4m, 3.0m, 4.1m have a surface area of 158.08 m².
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solve
please help me.
Answer:
x ≥ 3
Step-by-step explanation:
Mehmer has a stillity function (x,y) = 2x² + y Answer the following questions. Consider that the price of x is 100 TL, the price of y is 25 TL and monthly income is "M" TL Mehmet uses all of his income each month to purchase x and y. Solve the constraint optimization problem and find the expressions for x'.y' and 2". Confirm the second order condition for part (a) using bordered Hessian Matrix. Deive the value function. Suppose his income increased by one unit. How does the optimal value of u(x, y) i Answer by using the value function. Answer by using Envelope Theorem. (e) Suppose the price of y increased by one unit. How does the optimal value of u(x, y) change? Answer by using Envelope Theorem. (Hint: replace 25 with p, and proceed)
The constraint optimization problem can be solved by determining the expressions for x' and y' and confirming the second-order condition using the bordered Hessian Matrix. The value function and the Envelope Theorem can be used to analyze the effects of changes in income and prices on the optimal value of u(x, y).
To find the expressions for x' and y', we set up the Lagrangian function:
\(L(x, y, \lambda) = 2x^2 + y - \lambda (p_x * x + p_y * y - M)\)
Taking partial derivatives with respect to x, y, and λ, we get:
\(\partial L/\partial x = 4x - \lambda p_x = 0\\\partial L/\partial y = 1 - \lambda p_y = 0\\p_x * x + p_y * y = M\)
Solving these equations simultaneously, we find the optimal values of x and y. Differentiating the first-order conditions, we obtain the second derivative expressions, denoted as 2". The bordered Hessian matrix can be used to confirm the second-order condition for part (a).
To derive the value function, we substitute the optimal values of x and y into the utility function: u(x, y) = 2(x')² + y'.
Suppose the income increases by one unit. We can determine the effect on the optimal value of u(x, y) by using the value function and considering the change in the optimal values of x and y.
Applying the Envelope Theorem, we can evaluate the change in the optimal value of u(x, y) by taking the derivative of the value function with respect to income, while keeping the prices constant.
Similarly, if the price of y increases by one unit, we can analyze the impact on the optimal value of u(x, y) using the Envelope Theorem and considering the change in the optimal values of x and y, with the price of y denoted as p.
These steps will help us understand the changes in the optimal values of u(x, y) under different scenarios based on the given utility function, prices, and income.
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Help I don’t know how to find it!
Answer:
would it be 130?
Step-by-step explanation:
because 40+90=130 then 180-130=50 so 1=50 and that means 3 is 50 too. so then you would subtract 50 from 190 which is 130.
Joe wants to put a fence around his garden the fence is only sold in whole units his garden area is 576 sq feet how many feet of fence does he need to purchase to go around his garden
Joe need to purchase fence to go around his garden area = 24 feet²
What does a math area mean?
Area is the total amount of space that an object's shape or a flat (2-D) surface occupy. Create a square on paper by using a pencil. Two dimensions make it up.A shape's area on paper is the space it takes up. Imagine that your square is made up of smaller unit squares.A square is a four-sided, two-dimensional shape. It also goes by the name "quadrilateral." The total number of unit squares forming a square is referred to as the square's area. In other terms, it is described as the area that the square occupies.Area of garden = 576
he need to purchase fence to go around his garden = √576
= 24 feet²
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Will make brainiest if 2 people answer :3
Answer:
1.6
Step-by-step explanation:
12.8/8 = 1.6
15.2/9.5 = 1.6
Scale factor = 1.6
Idenify the terms and the coefficient of the expression?
1. 5x + 2v - 5
Answer:
The expression is:
5x + 2v - 5
The terms in this expression are:
5x, with a coefficient of 5
2v, with a coefficient of 2
-5, with a coefficient of -5
So the coefficients are 5, 2, and -5 respectively.
What are the The values of X and why that satisfy this equation (x+yi)+(4+9i)=9-4i
The values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13 .
In the question ,
the equation is given as
(x+yi)+(4+9i)=9-4i
to find the value of x and y , we solve LHS and RHS of the equation separately
So LHS =
(x+yi)+(4+9i)
x+yi+4+9i
Adding the real and imaginary terms , we get
(x+4)+(y+9)i which is equal to RHS that is 9-4i
So , on comparing , we get
x+4 = 9 and y+9 = -4
x= 9-4 and y = -4-9
x = 5 and y = -13
Therefore , the values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13 .
The given question is incomplete , the complete question is
What are the The values of X and Y that satisfy this equation (x+yi)+(4+9i)=9-4i ?
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In reference to line items, how many permutations are possible with the letters "ABC"?
So there are 6 permutations possible with the letters "ABC". These are: ABC, ACB, BAC, BCA, CAB, CBA.
Permutations are a way of arranging objects in a specific order. The number of permutations of a set of n distinct objects is given by n!, where n! denotes the factorial of n.
In the case of the letters "ABC", there are three distinct objects: A, B, and C. Therefore, the number of permutations possible with these letters is:
3! = 3 x 2 x 1 = 6
This means that there are 6 possible ways of arranging the letters "ABC" in a specific order. These permutations are:
ABC
ACB
BAC
BCA
CAB
CBA
To see why there are 6 possible permutations, consider the first position. There are three letters to choose from, so there are three possible choices for the first position. Once the first letter is chosen, there are two letters left to choose from for the second position. Finally, there is only one letter left to choose from for the third position. Therefore, the total number of permutations is:
3 x 2 x 1 = 6
In summary, the number of permutations of a set of n distinct objects is given by n!, and in the case of the letters "ABC", there are 3! = 6 possible permutations: ABC, ACB, BAC, BCA, CAB, and CBA.
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The following cost is likely to decrease as a result of better quality: a. customer dissatisfaction costs b. inspection costs c. scrap costs d. warranty and service costs e. all of the above
The correct answer is: e. all of the above, customer dissatisfaction costs, inspection costs, scrap costs and warranty and service costs are likely to decrease as a result of better quality.
Improving the quality of a product or service can lead to a decrease in various costs associated with poor quality. Let's briefly explain how each cost can be reduced:
Customer dissatisfaction costs: By delivering better quality products or services, customer satisfaction increases, resulting in reduced costs associated with customer complaints, returns, refunds, and lost business.
Inspection costs: When the quality of products or services improves, there is a reduced need for extensive inspection or quality control measures. This can result in lower inspection costs, as fewer resources are required to identify and address defects.
Scrap costs: Better quality typically means fewer defects and less scrap or waste. With improved processes and higher product reliability, the amount of scrapped or rejected items decreases, leading to cost savings.
Warranty and service costs: Higher quality products are less likely to experience failures or defects, reducing the need for warranty repairs or service interventions. As a result, the costs associated with warranty claims and servicing are reduced.
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in a class of 36 students, 12 are boys the percentage of girls in the class is?
How can I find an outlier in a box and whisker plot?
Answer:
Generally it's one that is just out of the way, the extreme outcast.
75 POINTS AND BRAINLIEST IF ITS CORRECT!!!
Answer: The first and last table.
As the x increases by 2, the y goes down by 1, so both tables have the same rate of change which means they are the same function.
Tables 1 and 5 are equal.
Given are 5 tables in x and y with two values each.
We are to find out which two represent the same function.
As for every function, two points are given.
Let us compare the slopes of each function.
Slope=change in y coordinate/change in x coordinate
Table Slope
I -0.5
2 -0.5
3 -0.5
4 1
5 -0.5
Table 4 is eliminated now.
Though slopes are the same for 1 and 2,f(4) =8 and 5 different . Hence I and II cannot be the same. Similarly for 2 different values are there in table 3,4,5. Hence 3,4,5 cannot be pairwise equal.
We find that table I and table 5 have the same slope. Also when pairwise taken, (4,8) and (2,9) slope = -0.5
So table I = table 5
Hope this helps... Stay safe and have a great day/night!!! :D