Answer:0.2
Step-by-step explanation:
Combine
√
3
and
√
75
into a single radical.
√
3
75
Cancel the common factor of
3
and
75
.
Tap for more steps...
√
1
25
Rewrite
√
1
25
as
√
1
√
25
.
√
1
√
25
Any root of
1
is
1
.
1
√
25
Simplify the denominator.
1
5
The result can be shown in multiple forms.
Exact Form:
1
5
Decimal Form:
0.2
Paxton multiplied 2/3 and 5/8 and came up with 30/24. What mistakes did Paxton make and what is the correct answer to Paxton's math problem?
Step-by-step explanation:
Paxton multiplied 2/3 times the 5 in the numerator. Then he multiplied the 3 and 8 in the denominator.
The correct way to solve this problem would be to multiply the numerators and then multiply the denominators. This would give you 10/24. You can then divide the numerator and deonminator by 2 and get 5/12.
5
What is the equation, in point-slope form, of the line that
is parallel to the given line and passes through the point
(-3, 1)?
4
3
2
(-3, 1)
42.27
1
5 4 3 2 1
2 3 4 5 x
y-1=-{(x+3)
y-1=-{(x + 3)
y-1= {(x + 3)
y-1= {(x + 3)
(-2, 4)
Answer: \(y-1=\dfrac32(x+3)\)
Step-by-step explanation:
Slope of a line passes through (a,b) and (c,d) = \(\dfrac{d-b}{c-a}\)
In graph(below) given line is passing through (-2,-4) and (2,2) .
Slope of the given line passing through (-2,-4) and (2,2) =\(\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}\)
Since parallel lines have equal slope . That means slope of the required line would be .
Equation of a line passing through (a,b) and has slope m is given by :_
(y-b)=m(x-a)
Then, Equation of a line passing through(-3, 1) and has slope = is given by
\((y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)\)
Required equation: \(y-1=\dfrac32(x+3)\)
What is the number of outcomes in the sample space tossing a coin and spinning a spinner with 8 equal sections?
Answer:
16
Step-by-step explanation:
How do you find the center and scale factor of a dilation?
Center point of dilation is a fixed point in a plane about which all the points of the figure expanded or contract. And scale factor of a dilation is the ratio of new formed image to the old given image.
Explanation:
Center of a dilation is considered as a fixed point in the given plane.Around the center point of dilation all the points of the given and new figure expanded or contracts.Translate the center of dilation and the given figure , now origin becomes the center and translate back to get the center of dilation.Scale factor can be calculated as the ratio of the dimension of the new image formed to the dimensions of the old given image.If new or old images not defined then ratio of larger to the smaller image gives the scale factor.Therefore, the center of the dilation can be find using the translation and scale factor can be calculated using the ratio of the new to the old images.
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PLSSS HELP IF YOU TURLY KNOW THISSS
Answer: multiply both sides by 2
How many different 10-letter words (real or imaginary) can be formed from the following letters? E, B: O, J, 0: P: B, V, I, T ten-letter words (real or imaginary) can be formed with the given letters. (Type a whole number.)
The answer is 10,077,696,000 different 10-letter words that can be formed using these letters.
How we find the different 10-letter word?To find the number of different 10-letter words that can be formed using the given letters, we can use the formula for permutations with repetition:
n^rwhere n is the number of distinct objects (letters in this case), and r is the number of positions (10 in this case).
we can calculate the number of different 10-letter words as follows:
Number of different 10-letter words = (2 + 3 + 1 + 4)^10Number of different 10-letter words = 10,077,696,000The formula states that the number of permutations with repetition of n distinct objects in r positions is equal to n^r. In this case, we have 2 distinct objects for the first set of letters (E and B), 3 for the second set (O, J, and 0), 1 for the third set (P), and 4 for the fourth set (B, V, I, and T).
we have a total of 2 + 3 + 1 + 4 = 10 distinct objects to choose from, and we need to fill 10 positions.
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what values of b and c make WXY congruent to FEG in
The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.
From this theorem, we know that corresponding sides must be equal for those triangles to be congruent. Then, we get two equations
\(\begin{gathered} c-2=2c-22 \\ 4b+18=b+48 \end{gathered}\)Let's start solving the equation for b.
\(4b+18=b+48\)We can start by subtracting 18 from both sides of the equation
\(\begin{gathered} 4b+18-18=b+48-18 \\ 4b=b+30 \end{gathered}\)Now, we can subtract b from both sides.
\(\begin{gathered} 4b-b=b+30-b \\ (4-1)b=30 \\ 3b=30 \end{gathered}\)And finally, dividing both sides by 3 we have
\(\begin{gathered} \frac{3b}{3}=\frac{30}{3} \\ b=10 \end{gathered}\)Now we have our b value. b = 10. Now, let's calculate the value for c.
\(c-2=2c-22\)We can start by adding 22 to both sides of the equation
\(\begin{gathered} c-2+22=2c-22+22 \\ c+20=2c \end{gathered}\)Now, we can just subtract c from both sides to get our value
\(\begin{gathered} c+20-c=2c-c \\ 20=(2-1)c \\ c=20 \end{gathered}\)Then, we have our c value, c = 20.
How many people in the united states are affected with disabilities? a. 100 million c. 53 million b. 4 million d. 6 million please select the best answer from the choices provided a b c d
Answer: C. 53 million
Step-by-step explanation:
Answer:
C or 53million
Step-by-step explanation:
creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in_________.
Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.
What is problem-solving?
Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.
Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.
Below are the steps in problem-solving:
Step 1: Define the Problem
Step 2: Identify the Root Cause of the Problem
Step 3: Develop Alternative Solutions
Step 4: Evaluate and Choose Solutions
Step 5: Implement the Chosen Solution
Step 6: Monitor Progress and Follow-up on the Solution.
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An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium? (1 point)
Answer:
My answer is 1170 but the way I figured out the problem was by listing numbers 1-30. the problem state that the 1st row had 10, 2nd row had 12, and 3rd row had 14 and so forth. So I basically did the same method till I got to 30 and then add up all the numbers which gave me the answer of 1170.
Step-by-step explanation:
Answer:
1170
Step-by-step explanation:
hey there,
(the other person just calculated each number themselves then added them up which i guess is okay but not in the long term for when you're taking a test for example or your teacher asks you this kind of question so it's better to memorize a formula.)
< There are two types of sequences: arithmetic and geometric. So also two formulas for finding sums of each. This situation is an arithmetic sequence.
Formula for the sum of an arithmetic sequence: \(S_n=\frac{n}{2} (a_1+a_n)\)
We know there are 30 total rows so n = 30. a1 is the very first term of a sequence so this is 10 in this situation. Before we fill in the formula, we should find what an is equal to.
For this, we will use the basic formula you learned previously: \(a_n=dn+c\)
d (the common difference) = a2-a1 = 12-10=2
c (the common ratio) = a1-d = 10-2 = 8
an = dn + c = 2(30) + 8 = 68
Now that we have found what a_n is equal to, we can plug everything into the sum equation.
\(S_n = \frac{30}{2} (10+68)=1170\)
So 1170 is your final answer. >
Hope this helped! Feel free to ask anything else.
can some1 help me out with this problem
Answer:
see explanation
Step-by-step explanation:
Compare the coordinates of corresponding vertices.
C(7, - 2 ) → C'(- 3, 7 )
x- direction 7 → - 3 , that is - 10 of a shift
y- direction - 2 → 7, that is + 9 of a shift
Thus the translation rule is
(x, y ) → (x - 10, y + 9 )
The ad for White House applesauce cups describes how the product provides 100 percent of your daily Vitamin C in every cup. What kind of an advertising appeal is this ad using
The advertising appeal used in this ad is a health appeal. The ad promotes the nutritional value of White House applesauce cups by highlighting that they provide 100% of daily Vitamin C in every cup.
This appeal focuses on the health benefits of the product, suggesting that consuming it will be good for one's well-being.
By emphasizing the nutritional value of the product, this appeal targets consumers who are concerned about their health and wellness. It suggests that by choosing White House applesauce cups, consumers can ensure they are getting an important nutrient without having to consume additional supplements or make other changes to their diet.
Overall, health appeals are a powerful marketing technique, as many people prioritize their health and are willing to pay more for products that they perceive as being beneficial for their well-being. By using this appeal, the ad for White House applesauce cups seeks to influence consumers to purchase the product based on its perceived health benefits.
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Simplify (15y+x)+45y and show steps
Answer:
\((15y + x) + 45y \\ = 15y + x + 45y \\ = 15y + 45y + x \\ = 60y + x\)
Answer:
60y + x
Step-by-step explanation:
(15y + x) + 45y
15y + x + 45y
60y + x
You invested 17,000 into accounts paying 2%and 8% annual interest respectfully if the total interest earned for the year was 1,060 how much was was invested at each rate2%8%
Let's define the following variables.
x = the amount invested at 2%
y = the amount invested at 8%
0.02x = interest at 2% account
0.08y = interest at 8% account
If the total investment in both accounts is 17, 000 then, we can say that:
\(x+y=17,000\)If the total interest earning in both accounts is 1,060 then, we can say that:
\(0.02x+0.08y=1,060\)Now that we were able to form a system of equation, we can solve for the values of x and y using substitution method. Here are the steps.
1. Equation Equation 1 into y = .
\(\begin{gathered} x+y=17,000 \\ y=17,000-x \end{gathered}\)2. Replace the value of y in equation 2 using equation 1.
\(\begin{gathered} 0.02x+0.08y=1,060 \\ 0.02x+0.08(17,000-x)=1,060 \end{gathered}\)3. Solve for x.
\(\begin{gathered} \text{Distribute 0.08.} \\ 0.02x+1,360-0.08x=1,060 \\ Subtract\text{ 0.02x and 0.08x.} \\ -0.06x+1,360=1,060 \\ \text{Subtract 1,360 on both sides of the equation.} \\ -0.06x=-300 \\ \text{Divide both sides by -0.06.} \\ x=5,000 \end{gathered}\)The value of x is 5,000. Hence, the amount invested at 2% is 5,000.
4. Solve for y using equation 1 and the calculated value of x.
\(\begin{gathered} y=17,000-x \\ y=17,000-5,000 \\ y=12,000 \end{gathered}\)The value of y is 12,000. Hence, the amount invested at 8% is 12, 000.
A manager said profit per item should be no more than $15. Draw a graph to show this inequality.
Answer:
Inequality: y <= 15x
Step-by-step explanation:
y <= 15x
This means the profit per items is no more than 15 per item
What is the probability of making a Type II error if the null hypothesis is actually true? A. 2 B. 1 C. 0 D. 0.05
The probability of making a Type II error if the null hypothesis is actually true is C) 0.
If the null hypothesis is actually true, it means that there is no difference between the sample and population, or no effect of the independent variable. A Type II error occurs when the null hypothesis is not rejected, even though it is actually false. Therefore, the probability of making a Type II error when the null hypothesis is actually true is 0.
The probability of making a Type II error can be calculated using the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. However, this information is not provided in the question.
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The supplementary angle to 80degrees is
Answer:
its 100 degrees
Step-by-step explanation:
Drag the correct tiles to the boxes. Each tile can be used more than once.
Match each scenario to the type of relationship it represents.
Linear
Exponential
Quadratic
In a shotput competition anything with a shock from a height of 6 feet the shower because a maximum height of 9 feet after covering a distance of 29 fee the total distance covered by the shot is 58 feet Time years 01234 number of pigs on the form 30 9 200 7 81 2430. The government plans to decrease the number of automobiles imported from a certain country by 10% each year. Ronald is descending from the 50th floor anyway elevator the elevator moves up or down eight floors per minute. Time second 02468 height of a toy jet feet 5 101310 five
Answer:
Step-by-step explanation:
A residual is the difference between _______.
A residual is the difference between "the measured and predicted values of the quantity of interest".
What is residuals?In regression analysis, a residual would be the difference between an observable and anticipated value.
The formula is;
Residual = Observed value – Predicted value
Some key features regarding the residuals are-
The purpose of linear regression would be to quantify the relationship among one or so more predictor variables one and or more response variables. Linear regression selects the line that best "fits" the data, defined as least squares regression line, to do this. This line generates a prediction for every observation in the dataset, however it is improbable that the regression line's prediction would perfectly match its observed value.The residual is the discrepancy between the predicted and the observed value. The residuals for every observation would represent the vertical distance between both the observation as well as the regression line if we plotted the observed values then overlaid the fitted regression line.To know more about the residual, here
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The diameter of a circular pizza is 24 in. How much pizza is eaten (in square inches) if half of it is consumed? (Pie and л... hmmmm...interesting...)
Using the formula of area of a circle, about 226.08in² has been eaten
How much pizza is eaten?The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:
Area = π * r²
where π is approximately 3.14 and r is the radius of the circle.
Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.
Let's calculate the area of the entire pizza first:
Area = 3.14 * 12²
Area = 3.14 * 144
Area ≈ 452.16 square inches
Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:
Area of half of the pizza = 452.16 / 2
Area of half of the pizza ≈ 226.08 square inches
Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.
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11) Determine the length of the vector function F(t)= <3 - 4t, 6t, -(9+2t) > from-6 ≤ t≤ 8.
A) L = √56
B) L=-√56
C) L=-14√56
D) L = 14√56
The length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is D) L = 14√56.
The length of the vector function F(t) = <3 - 4t, 6t, -(9 + 2t)> from -6 ≤ t ≤ 8, we need to calculate the integral of the magnitude of the derivative of F(t) with respect to t over the given interval.
The magnitude of a vector v = <x, y, z> is given by ||v|| = √(x² + y² + z²).
First, let's find the derivative of F(t):
F'(t) = <-4, 6, -2>
Next, let's find the magnitude of F'(t):
||F'(t)|| = √((-4)² + 6² + (-2)²)
= √(16 + 36 + 4)
= √56
Now, we can calculate the length of F(t) over the interval -6 ≤ t ≤ 8 by integrating ||F'(t)|| with respect to t:
L = ∫(√56) dt
= √56 ∫dt
= √56 × t + C
Evaluating the integral over the given interval:
L = √56 × t + C| (-6)⁸
= √56 × (8 - (-6))
= √56 × 14
= 14√56
Therefore, the length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is 14√56.
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problem #3 (geometry) Please need help with this problem
Answer:
i believe x=17
Step-by-step explanation:
if 3x-21=x+13, x=17 once you solve it
A student is planning to attend college in 5 years. The student has saved $1,200 and plans to save another $50 per month over the next 60 months. Based on this information about the student’s plan, which statement about the possible choices for a college is true?
The correct answer choice:
The student would be able to afford the in-state cost for one year at a public 2-year college.
The correct option is D.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
A student is planning to attend college in 5 years.
The student has saved $1,200 and plans to save another $50 per month over the next 60 months.
The total savings,
= 1200 + (50 x 60)
= $4200
That is equivalent to the cost of one year at a public 2-year college.
Therefore, the saving amount is equivalent to the cost of one year at a public 2-year college.
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The table shows the cost per year of attending different types of colleges.
A student is planning to attend college in 5 years. The student has saved $1,200 and plans to save another $50 per month over the next 60 months.
Based on this information about the student's plan, which statement about the possible choices for a college is true?
Answer choices
The student would be able to afford the cost for one year at a private 4-year college.
The student would be able to afford out-of-state cost for half a year at a 4-year public college.
The student would be able to afford in-state cost for half a year at a public 4-year college.
The student would be able to afford in-state cost for one year at a public 2-year college.
What is true about an image after a dilation?
The pre-image and image have the same shape after dilatation, but they are not the same size.
In the given question, we have to explain what is true about an image after a dilation.
The pre-image and image have the same shape after dilatation, but they are not the same size.
The figure is the same from every perspective. The midpoints of the figure's sides and the dilated shape's midpoint are both unchanged. Lines that are parallel and perpendicular to one another in the figure are identical to those in the dilated figure. The pictures stay the same.
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A rectangle with an area of x2 – 4x – 12 square units is represented by the model. What side lengths should be used to model the rectangle? (x + 2) and (x – 6) (x + 6) and (x – 2) (x + 2) and (x – 10) (x + 10) and (x – 2)
Answer: (x+2) and (x-6) represents the side lengths.
Step-by-step explanation:
The area of the rectangle is \(x^{2} -4x -12\) so in this case to find the side lengths we need to factor out the area.
To factor \(x^{2} -4x-12\) We need to find two numbers that if we multiply together we will have -12 and if we add those two number we will get -4.
-6 and 2 works out
Because -6 * 2 = -12 and -6 +2 = -4
Now we will rewrite the area as
\(x^{2}\) +2x - 6x -12 Group them
(\(x^{2}\) +2x) (-6x -12) factor them
x (x +2) -6(x+2) factor out x+2
(x+2)(x-6) Done!
Answer: The correct answer is A (x+2)(x-6) on Edg 2020;)
Mr. Huan needs 18 paint sets for his art class. He has some paint sets and if he had 5 more, he still would not have enough. Write an inequality to model the situation.
The inequality which can be used to represent the situation can be given as x + 5 < 18.
How to write inequality?Number of paints sets Mr Huan needs for his art class = 18
Number of paints set Mr Huan has = x
Additional number of paints sets he has = 5
The inequality
Number of paints set Mr Huan has + Additional number of paints sets he has less than Number of paints sets Mr Huan needs for his art class
x + 5 < 18
x < 18 - 5
x < 13
Therefore, the number of paints sets Mr Huan has is less than 13
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I need help fast thank you!
Answer:
the third one
Step-by-step explanation:
Help me with this please
!!!!!!!!!!!!!
Answer:
q = \(10\sqrt{3}\) yards
Step-by-step explanation:
Tan(60) = \(\frac{q}{10}\)
Tan(60) * 10 = q
17.321 = q
Radical form = \(10\sqrt{3}\)
Hope this helps!
Please answer this trigonometry problem and round to the nearest tenth
(show work if you can.) :)
Answer:
The answer for x is 37° to the nearest whole number
Answer:
the answer of X is 37° to the nearest whole number
Plz Help me
15x^2 -10x-40
How do you factor?
Answer:
5(3x+4)(x-2)
Step-by-step explanation:
first you factor out a five to make it 3x^2 - 2x - 8
then you split into (3x+?) and (x+?)
then using guess and check (this is not the best method but I use it) you get
(3x+4)(x-2) and then you bring the 5 so its 5(3x+4)(x-2)