Simplify the following radical
√175x^5
Simplified version of the given radical expression would be...
\(5x^2\sqrt{7x}\)
Hope this helps!
A cake mix calls for these ingredients. 2 cups of sugar 7 cups of flour 3 cups of milk 1 cup of oil Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?
Answer:
Ratio of sugar and flour
2:7
Ratio of milk and oil
3:1
Step-by-step explanation:
Here in this question, we shall be writing ratios based on the given number of cups in the question.
We start with ratio of sugar to flour.
We have;2 cups of sugar and 7 cups of flour. Thus we have the ratio of sugar to flour as 2:7
Also we want the ratio of milk and oil
we have 3 cups of milk and 1 cup of oil
So the ratio of milk and oil is 3:1
Answer: TO be short for it its B! :D
A cake mix calls for these ingredients.
2 cups of sugar
7 cups of flour
3 cups of milk
1 cup of oil
Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?
3/7 > 2/1
2/7<3/1
7/1<2/3
3/2>1/7
2
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2/7<3/1
with 2 cups of sugar to 7 cups of flour that is a small ratio/ fraction while as
3 cups of milk to 1 cup of oil is a larger ratio/fraction.
douwdek0 and 60 more users found this answer helpful
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Answer: The correct option is (B).
The ratio of sugar to flour is and the ratio of milk to oil is
Step-by-step explanation: Given that a cake mix calls for the following ingredients:
2 cups of sugar , 7 cups of flour , 3 cups of milk and 1 cup of oil.
We are given to write the ratios of sugar to flour and milk to oil and select the correct comparison of the ratios.
The ratio of sugar to flour is given by
and the ratio of milk to oil is given by
Since
so have
Thus, the ratio of sugar to flour is and the ratio of milk to oil is The correct comparison is
Option (B) is CORRECT.
Step-by-step explanation:
What should happen to both sides of the equation to isolate the variable?
Answer:
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable
Step-by-step explanation:
Find two consecutive even integers such that the sum of the numbers is ten more than the larger number. (Must solve algebraically to receive full credit.)
Answer:
10 and 12
Step-by-step explanation:
Let the smallest number = 2x
Then the larger number is 2x + 2
2x + 2x + 2 = 2x + 2 + 10 Subtract 2x + 2 from both sides
2x = 10 Divide by 2
x = 5
The smaller number is 2x = 2 * 5 = 10
The larger number is 2x + 2 = 12
consider a standard normal random variable z. what is the value of z if the area to the right of z is 0.4404?
The value of z if the area to the right of z is 0.4404 is; 0.15
How to find the probability of the z-score?To find the value of z if the area to the right of z is 0.4404 is expressed as; P(Z > z) = 0.4404
Now, this means we have to go and trace the value of this area on the standard normal distribution table to know that z-score that it represents.
Now, by looking at the table of standard normal distribution, we can trace that the z-score area to the right of z is 0.4404 is;
z = 0.15
Thus, we conclude that the z-score above is the required one for the given area.
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Simplify the expression \( \sqrt{y^{2}-81} \) as much as possible after substituting \( 9 \sec x \) for \( y \).
The expression√{y²-81} can be simplifies to trigonometry as 9|tanx|.
If an algebraic expression has no like terms and no parenthesis, it is said to be in its simplest form. Use the Distributive Property to add or subtract the coefficients to combine like terms with variables. You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.
We start by substituting 9 sec x for y:
√{y²-81} = √{(9 sec x)²-81}
= √{81(sec²x) - 81}
= √{81(sec²x-1)}
= 9√{sec²x-1}
Using the trigonometric identity sec²x - 1 = tan²x, we can simplify further:
9√{sec²x-1} = 9√{tan²x}
= 9|tanx|
Therefore, the simplified expression is 9|tanx|.
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simplify 5-[2-(-4)-6]
Answer:
5
Step-by-step explanation:
5-[2-(-4)-6]
Work from the inside out
5-[2+(4)-6]
5-[6-6]
5 - 0
5
what is the perimeter of the triangle PQR? Round to the nearest tenth
I NEED IT ASAP!
Answer:
where's the triangle. I can try and help
Answer :-
Since here, no parameters are given to calculate the perimeter, we use the formula to state the perimeter of the triangle :-
Perimeter of a triangle is given as :-
P = a+b+c
where, a, b and c are the measurement of the sides of the triangle.
let {w1, w2, …, wk} be a basis for a subspace w of v. prove that w ⊥ consists of all vectors in v that are orthogonal to every basis vector.
u is orthogonal to w, which means it is orthogonal to every vector in w. Hence, u is in w⊥.
What is Vector?
A vector is a living organism that transmits an infectious agent from an infected animal to a human or another animal. The vectors are often arthropods such as mosquitoes, ticks, flies, fleas and lice.
To prove that the subspace w⊥ consists of all vectors in v that are orthogonal to every basis vector {w1, w2, ..., wk}, we need to show two things:
Any vector in w⊥ is orthogonal to every basis vector.
Any vector in v that is orthogonal to every basis vector is in w⊥.
Let's prove these two statements:
Let's assume that a vector u is in w⊥. We need to show that u is orthogonal to every basis vector {w1, w2, ..., wk}.
Since u is in w⊥, by definition, it is orthogonal to every vector in w. Now, since {w1, w2, ..., wk} is a basis for w, any vector in w can be written as a linear combination of the basis vectors:
v = a1w1 + a2w2 + ... + ak*wk,
where a1, a2, ..., ak are scalars.
Now, consider the dot product of u with v:
u · v = u · (a1w1 + a2w2 + ... + ak*wk).
Using the distributive property of dot product, we have:
u · v = a1*(u · w1) + a2*(u · w2) + ... + ak*(u · wk).
Since u is orthogonal to every vector in w, each dot product term on the right-hand side becomes zero:
u · v = a10 + a20 + ... + ak*0 = 0 + 0 + ... + 0 = 0.
Therefore, u is orthogonal to v, which means it is orthogonal to every basis vector {w1, w2, ..., wk}.
Now, let's assume that a vector u is in v and is orthogonal to every basis vector {w1, w2, ..., wk}. We need to show that u is in w⊥.
To prove this, we'll show that u is orthogonal to every vector in w. Let's take an arbitrary vector w in w:
w = c1w1 + c2w2 + ... + ck*wk,
where c1, c2, ..., ck are scalars.
Now, consider the dot product of u with w:
u · w = u · (c1w1 + c2w2 + ... + ck*wk).
Using the distributive property of dot product, we have:
u · w = c1*(u · w1) + c2*(u · w2) + ... + ck*(u · wk).
Since u is orthogonal to every basis vector, each dot product term on the right-hand side becomes zero:
u · w = c10 + c20 + ... + ck*0 = 0 + 0 + ... + 0 = 0.
Therefore, u is orthogonal to w, which means it is orthogonal to every vector in w. Hence, u is in w⊥.
By proving both statements, we have shown that w⊥ consists of all vectors in v that are orthogonal to every basis vector {w1, w2, ..., wk}.
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iona discovers that the lifespan of cats is normally distributed with mean 12 years and standard deviation 2 years. what is the best estimate for the probability of a cat living more than 16 years?
The probability of a cat living more than 16 years can be estimated using the normal distribution. This can be calculated using the following equation: P(X>16) = 1-P(X<16) = 1- Φ((16-12)/2) = 0.1587. This means that the probability of a cat living more than 16 years is approximately 15.87%.
The normal distribution is a continuous probability distribution often used to represent real-world phenomena, such as the lifespan of cats. The distribution is characterized by two parameters, the mean and the standard deviation. The mean is the average value of the data, and the standard deviation is a measure of how spread out the data is around the mean.
To calculate the probability of a cat living more than 16 years, we need to find the cumulative probability of a value less than 16 years. This is done using the normal cumulative probability distribution. We subtract the mean (12 years) from the desired value (16 years) and divide the result by the standard deviation (2 years). We then use this value to calculate the cumulative probability using the cumulative probability function (Φ). The result is 0.1587, meaning that the probability of a cat living more than 16 years is approximately 15.87%.
In conclusion, the probability of a cat living more than 16 years is approximately 15.87%.
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Plz help question in the picture help me plz
Answer:
true, false, true
Step-by-step explanation:
What are the coordinates of the point on the directed line segment from (1,−6) to (8,8) that partitions the segment into a ratio of 4 to 3?
The coordinate of the point on the directed line segment that partitions the segment into a ratio of 4 to 3 is (29/7,50/7)
How to determine the coordinate at the partition?The given parameters are:
A = (-1,6)
B = (8,8)
Ratio, m : n = 4 : 3
The coordinate at the partition is calculated using:
\((x,y) = \frac{1}{m + n} * (mx_2 + nx_1,my_2 + ny_1)\)
So, we have:
\((x,y) = \frac{1}{4 + 3} * (4 * 8 + 3 * -1,4 *8 + 3 * 6)\)
Evaluate
\((x,y) = \frac{1}{7} * (29,50)\)
Evaluate the product
(x,y) = (29/7,50/7)
Hence, the coordinate of the point is (29/7,50/7)
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In ABC, a = 4, b = 3, and c = 3. What is the
value of cos A?
The value of cos A in the triangle is 1 / 9.
How to find the angle of a triangle?The triangle is given as ABC. The side lengths are a, b and c. Therefore, cos A of the triangle can be found using cosine rule as follows:
a² = b² + c² - 2bc cos A
a = 4
b = 3
c = 3
Therefore,
4² = 3² + 3² - 2(3)(3) cos A
16 = 9 + 9 - 18 cos A
16 - 18 = - 18 cos A
-2 = - 18 cos A
divide both sides by - 18
cos A = - 2 / - 18
cos A = 1 / 9
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a prism has three rectangular faces. its other faces are in the shape of
Answer: All the faces are rectangular.
Step-by-step explanation: A prism with three rectangular faces is called a rectangular prism. Therefore, the other faces are in the shape of rectangles.
Solve for X
x - 8= -10
a. x=2
b. x = -2
c. x = 18
d. x= -18
Answer:
b. x = -2
Step-by-step explanation:
x - 8 = -10
x = -10 + 8
x = -2
what is the slope of the line that passes through the points (10,2) and (19,14) write your answear in simplist form
Answer: 1 1/3
Step-by-step explanation: slope is the difference in y values over the difference in the c values
Answer:
\( m = \frac{14 - 2}{19 - 10} \\ \frac{12}{9} \\ m = \frac{4}{3} \)
the slop is equal to 4/3
3. Consider the right triangle below in which a = 5 and b = 5.
A. Use the Pythagorean Theorem to solve for c.
Show your work!
B. What is the value of c rounded to the nearest hundredth?
C. What is the value of c in simplified radical form?
Answer:
Consider the right triangle below: State the Pythagorean Theorem as it relates to the above triangle. List the trig identities as they relate to the triangle above. Now suppose hypotenuse C represents a vector R, while sides B and A represent vector components Rx and Ry respectively. Redraw the triangle with the new labels below. Using Pythagorean Theorem, derive the equation for R.
PLEASE HURRY! i’ll give brainliest
Answer:
1
Step-by-step explanation:
whats 4x4-2+4-4-4-4-4-4-4-4+20+10
Answer:
16
Step-by-step explanation:
use desmos
Answer: 20
Step-by-step explanation:
4x4-2+4-4-4-4-4-4-4-4+20+10 = 20
is h(x) = 6 a linear function and why
Answer:
yes, absolutely. specifically it's a horizontal line at 6.
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of this line is given as 1/2
Slope of a LineThe slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.
Taking two points from the graph;
Point A = (5, -1)Point B = (1, -3)The slope of the line is calculated as
m = y₂ - y₁ / x₂ - x₁
Substituting the values into the formula above;
m = -3 - (-1) / 1 - 5
m = -2 / - 4
m = 1/2
Slope = 1/2
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Earl made a 1/2 pan of brownies using 2/3 cup of sugar How much sugar will it take for a whole pan of brownie
Answer:
It will take 4/3 cup of sugar or 1 and 1/3 cup of sugar
Step-by-step explanation:
1/2 + 1/2= 1
2/3 + 2/3=4/3 or 1 and 1/3
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Find the slope of the line passing through the points (-5,3) and (7,9)
4. Two TV shows each asked 100 viewers for their ages. For one show, the
mean age of the viewers was 35 years and the MAD was 20 years. For the
other show, the mean age of the viewers was 30 years and the MAD was
5 years.
A sixth-grade student says he watches one of the shows. Which show do
you think he watches? Explain your reasoning. (Lesson 8-12)
Drawing conclusions, predicting the future, or developing an explanation are all examples of reasoning.
Does reasoning mean thinking?Using particular examples to support a sound inference is the process of reasoning. This strategy relies on specific examples 1, 2, and 3 to draw a broad generalisation about the entire case. For instance, my Sony stereo, car radio, television, and video system are all in good working order.
A conclusion, a prediction, or an explanation can be reached by utilising knowledge already at hand in the reasoning process. Deductive, inductive, and abductive techniques of reasoning are three different types.
Deductive, inductive, abductive, and analogous reasoning will be the four types of reasoning we will be concentrating on in this article. A logical, deliberate technique of thinking is reasoning.
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The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?
Answer:
B. 7−10; 11−14; 15−18; 19−22
Step-by-step explanation:
A vector is 14. 4 m long and
points in a 133 degree
direction.
Find the x-component of the
vector.
A vector is a mathematical object that represents both magnitude and direction. The x-component of the vector is approximately -8.8774 m.
The x-component of a vector refers to the magnitude of the vector in the horizontal direction.
To find the x-component of a vector, we can use trigonometry.
In this case, we have a vector that is 14.4 m long and points in a 133 degree direction. To find the x-component, we need to find the horizontal projection of the vector.
To do this, we can use the cosine function. The cosine of an angle gives us the ratio of the adjacent side to the hypotenuse in a right triangle. In this case, the adjacent side represents the x-component and the hypotenuse represents the magnitude of the vector.
Using the given information, we can calculate the x-component as follows:
x-component = magnitude of the vector * cosine(angle)
x-component = 14.4 m * cosine(133 degrees)
Now, let's calculate the x-component:
x-component = 14.4 m * (-0.6176) (rounding to four decimal places)
x-component ≈ -8.8774 m
Therefore, the x-component of the vector is approximately -8.8774 m.
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what is the answer 4/10+4/5
Answer:
1 and 2/10ths
Step-by-step explanation:
4/10=0.4
4/5=0.8
0.4+0.8=1.2
1.2 in fraction form is 1 and 2/10ths
Which value of gg makes 26=7(g-9)+ 12 a true statement?
From the hypothetical data on consumption expenditure, income and obtained the following regression: Yi=24.7747+0.941X2i−0.0424X3i (6.7525)(0.8229)(0.0807)R2=0.9635R2=0.9531n=1
Where, X2i= income; X3i= wealth and Yi= consumption expenditure. i) Test whether wealth is independent of income. ii) Do you suspect that there is multicollinearity on model? explain. iii) What is the a priori sign of X3i ? Do the results conform expectation?
i) Wealth is not independent of income.
ii) It is unclear whether there is multicollinearity in the model due to the lack of correlation or VIF values.
iii) The a priori sign of X3i is negative, indicating an expected negative relationship between wealth and consumption expenditure. However, without additional information, we cannot determine if the results conform to the expectation.
Let us discuss in a detailed way:
i) To test whether wealth (X3i) is independent of income (X2i), we can examine the coefficient associated with X3i in the regression equation. In this case, the coefficient is -0.0424. To test for independence, we can check if this coefficient is significantly different from zero. Since the coefficient has a value of -0.0424, we can conclude that wealth is not independent of income.
ii) Multicollinearity refers to a high correlation between independent variables in a regression model. To determine if there is multicollinearity, we need to examine the correlation between the independent variables. In this case, we have income (X2i) and wealth (X3i) as independent variables. If there is a high correlation between these two variables, it suggests multicollinearity. We can also check the variance inflation factor (VIF) to quantify the extent of multicollinearity. However, the given information does not provide the correlation or VIF values, so we cannot definitively conclude whether there is multicollinearity in the model.
iii) The a priori sign of X3i can be determined based on the expected relationship between wealth and consumption expenditure. Since the coefficient associated with X3i is -0.0424, we can infer that there is an expected negative relationship between wealth and consumption expenditure.
In other words, as wealth increases, consumption expenditure is expected to decrease. However, without knowing the context or specific expectations, we cannot determine if the results conform to the expectation.
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Miguel tells his teacher that One-fifth is the same as 20%. Which best justifies Miguel’s answer?
Answer:
5 goes into 100 twenty times, so 20% is the answer
hope it helps! :)
Step-by-step explanation:
Answer:
5 goes into 20 four times, and 5 times 4 is 20, so 20% is the answer.
Step-by-step explanation:
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