Simplified Square Root for √240 is 4√15
Step by step simplification process to get square roots radical form: First we will find all factors under the square root: 240 has the square factor of 16. Let's check this width √16*15=√240. Now extract and take out the square root √16 * √15. All radicals are now simplified.
Answer: That answer is correct option A
Step-by-step explanation: doing point giveaways so stay tuned guys!
If the area of a parallelogram is 5 ⅖ ft. height of the parallelogram is 2 ⅖ ft, what is the base of the parallelogram
Answer:
3 2/5
Step-by-step explanation:
.
What is the 1 million dollar math problem?
Answer:
it is join remind the class code is d394k3
join to have fun
Step-by-step explanation:
how much more is 1/2 than 1/3
Can someone help me with this one?
Answer:
B. 2x - 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x - 1
g(x) = x + 2
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute in functions: (f - g)(x) = 3x - 1 - (x + 2)[Distributive Property] Distribute negative: (f - g)(x) = 3x - 1 - x - 2[Subtraction] Combine like terms (x): (f - g)(x) = 2x - 1 - 2[Subtraction] Combine like terms: (f - g)(x) = 2x - 3Combine like terms to create an equivalent expression. −
3. 6
−
1. 9
�
+
1. 2
+
5. 1
�
−3. 6−1. 9t+1. 2+5. 1tminus, 3, point, 6, minus, 1, point, 9, t, plus, 1, point, 2, plus, 5, point, 1, t
After combining like terms to create equivalent expression we get (-1.9 + 1.2) + (5.1 - 3.6)t. Simplifying further, we get: -0.7 + 1.5t.
To combine like terms, we add or subtract the coefficients of the same variables. In this case, the variables are t and the constant terms (without variables) are -3.6, -1.9, and 1.2.
So the equivalent expression after combining like terms is:
(-1.9 + 1.2) + (5.1 - 3.6)t
Simplifying further, we get:
-0.7 + 1.5t
A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. It tells you how many times the variable appears in the expression. For example, in the expression 3x + 2, the coefficient of x is 3. Variables are symbols used to represent unknown quantities in mathematical equations or expressions. They can take on different values, and their value can be solved for using algebraic techniques. Equivalent expressions are expressions that have the same value for all possible values of the variables involved. For example, 2x + 4 and 4 + 2x are equivalent expressions since they simplify to the same value. Equivalent expressions can be useful in simplifying and solving algebraic equations.
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Complete Question
Combine like terms to create an equivalent expression. −
3. 6−1. 9+1. 2+5. 1 −3. 6−1. 9t+1. 2+5.
Drag each expression to its equivalent.
Answer:
x-3+2x+3+2x = 5x
x+8+4x-3x-4 = 2x+4
4x+x-11-5X+25+4x = 4x+14
3x+5-2x-5x+9+8x = 4x+14
5+9x-7-4X-3x+6 = 2x+4
6x-9-5x+4-x+5x+5 = 5x
Step-by-step explanation:
Simplified by adding like terms
Jared has worked 70 hours this summer. He plans to work 2.5 hours in each of the coming days.Clementine just started working and plans to work 5 hours a day in the coming days. Write and solve a system of equations to find how long it will be before they will have worked the same number of hours.
They will both have worked 140 hours when Jared has worked for 28 more days and Clementine has worked for 28 days.
Let's start by defining some variables. Let j represent the total number of hours Jared has worked so far, and let c represent the total number of hours Clementine has worked so far. We can then write two equations based on the information given:
j = 70 + 2.5d where d is the number of days Jared plans to work in the future
c = 5d where d is the number of days Clementine plans to work in the future
To find when they will have worked the same number of hours, we need to solve for d in both equations and set them equal to each other:
70 + 2.5d = 5d
Simplifying this equation:
70 = 2.5d
d = 28
Therefore, it will take Jared 28 more days of working 2.5 hours each day to have worked the same number of hours as Clementine, who plans to work 5 hours per day. We can find the total number of hours they will have worked by substituting d = 28 into either equation:
j = 70 + 2.5(28) = 140
c = 5(28) = 140
So they will both have worked 140 hours when Jared has worked for 28 more days and Clementine has worked for 28 days.
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N
Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
5
11
Reset
Next
Answer:
Step-by-step explanation:
1). \(8\frac{1}{4}\) ÷ \(\frac{3}{4}\)
= \(\frac{33}{4}\) ÷ \(\frac{3}{4}\)
= \(\frac{33}{4}\times \frac{4}{3}\)
= 11
2). \(3\frac{1}{3}\) ÷ \(\frac{10}{3}\)
= \(\frac{10}{3}\) ÷ \(\frac{10}{3}\)
= \(\frac{10}{3}\times \frac{3}{10}\)
= 1
3). \(\frac{5}{4}\) ÷ \(\frac{1}{4}\)
= \(\frac{5}{4}\times \frac{4}{1}\)
= 5
4). \(\frac{25}{4}\) ÷ \(6\frac{1}{4}\)
= \(\frac{25}{4}\) ÷ \(\frac{25}{4}\)
= \(\frac{25}{4}\times \frac{4}{25}\)
= 1
5). \(11\frac{1}{4}\) ÷ \(\frac{9}{4}\)
= \(\frac{45}{4}\) ÷ \(\frac{9}{4}\)
= \(\frac{45}{4}\times \frac{4}{9}\)
= 5
6). \(3\frac{1}{7}\) ÷ \(\frac{2}{7}\)
= \(\frac{22}{7}\) ÷ \(\frac{2}{7}\)
= \(\frac{22}{7}\times \frac{7}{2}\)
= 11
Now we can classify the expressions by their quotients as 1, 5 and 11.
what is the median of - 21, 18, 24, 14, 14, 20, 22
Answer:
14
Step-by-step explanation:
Can someone please help me ASAP
Graph 2.4 on the number line. Please.
Answer:
It is the second line after 2. the number line goes up in 0.2
Step-by-step explanation:
find the missing side. round your answer to the nearest tenth
The value of the missing side is 58. 75
How to determine the valueTo determine the value of the missing side, we need to know the different identities and their ratios.
These trigonometric identities are;
secantcosecanttangentcotangentsinecosineWe have their ratios as;
sin θ = opposite/hypotenuse
tan θ = opposite/adjacent
cos θ = adjacent/hypotenuse
We have that the;
Angle = 57 degrees
Adjacent = 32
Hypotenuse side = x
Then, we have;
Substitute the values for the cosine identity, we get
cos 57 = 32/x
cross multiply
x = 58. 78
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Does the equation y = x/2 represent a proportional relationship?
Answer:
I think the answer is yes, because its graph is a line that passes through the origin
Step-by-step explanation:
hope this helps if not let me know have a blessed day
What value of x makes the following equation true
-4 + 7x = 2(4x + 1)
Answer:
x= -6
Step-by-step explanation:
-4+7x=8x+2
7x-8x=2+4
-x=6
x= -6
HELP ASP PLS I WILL GOVE BRAINIST PLS PLS PLS HELPPPP picture below
We can solve this problem in three steps.
1) find the area of the square
\(a=lw\\\\a=(7.5)(6)\\\\a=45ft^{2}\)
2) find the area of the triangle
\(a=\frac{1}{2}bh\\\\a=\frac{1}{2} (6)(4)\\\\a=12ft^{2}\)
3) add the areas together
\(a=45+12\)
a = 57 ft²
Si un automóvil tiene 1.500 kg de masa y una velocidad de 5 m/s, ¿cuál es la energía cinética de un automóvil?
Answer:
E = 18750 J
Step-by-step explanation:
The question is "If a car has a mass of 1,500 kg and a speed of 5 m / s, what is the kinetic energy of a car?"
Mass, m = 1500 kg
Speed, v = 5 m/s
We need to find the kinetic energy of the car. The formula for kinetic energy is given by :
\(K=\dfrac{1}{2}mv^2\\\\K=\dfrac{1}{2}\times 1500\times (5)^2\\\\K=18750\ J\)
So, 18750 J is the kinetic energy of the car.
after fitting a linear regression model to a dataset, the model's slope and intercept are -3 and 0 respectively. now, if we change our independent variable by adding 4.5 units to x, what is the absolute value of the change in the predicted value of dependent variable y?
The absolute value of change in the predicted value of dependent variable Y is 18.
Any variable whose value is influenced by an independent variable is said to be dependent. The thing that is measured or assessed in an experiment or mathematical equation is the dependent variable. The phrase "the outcome variable" is another name for the dependent variable.
Slope = b = -4
Intercept = a = -2.8
So, the equation of the regression line is
y = a + bx
y = -2.8 - 4x ...Equation 1
Now suppose the value of x is changed by adding 4.5
i.e. put x = x + 4.5
So,
y = -2.8 - 4(x + 4.5)
y = -2.8 -4x - 18 ...Equation 2
Comparing 1 and 2 ,
We get the predicted value of dependent variable Y as 18
Therefore The absolute value of change in the predicted value of dependent variable Y is 18
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the difference between seven and a number is four. HELP ME!
Answer:
3.
Step-by-step explanation:
Difference means subtract. So your question is 7 - 4 and that is 3.
Answer:
3
Step-by-step explanation:
Let the number be x
7-x=4
-x=4-7
-x = -3
x=3
mulltiply (x-6)(4x+3)
Answer:
\( {4x}^{2} - 21x - 18\)
Planet A has a mass of 5*10^26 kilograms. Planet B has a mass of 2*10^28 kilograms. Choose which planet has the larger mass. Then fill in the blank with a number written in standard notation.
The planet that has the larger mass is the planet B and the measurements in standard forms are
Planet A = 500000000000000000000000000 kilograms Planet B = 20000000000000000000000000000 kilogramsHow to determine the planet that has the larger massFrom the question, we have the following parameters that can be used in our computation:
Planet A = 5*10^26 kilograms
Planet B = 2*10^28 kilograms
Rewrite the masses properly
So, we have
Planet A = 5*10²⁶ kilograms
Planet B = 2*10²⁸ kilograms
The exponent 28 is greater than the exponent 26
This means that
2*10²⁸ is greater than 5*10²⁶
So, we have
Planet B has the larger mass
When the measurements are expressed in standard forms, we have
Planet A = 500000000000000000000000000 kilograms
Planet B = 20000000000000000000000000000 kilograms
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what is the value of ST?
R & U are the midpoints of TV & SV. By using mid point theorem..,
ST = 2 RU
y + 6 = 2 (y - 23)
y + 6 = 2y - 46
y - 2y = - 46 - 6
- y = -52.
=》 y = 52.
ST = y + 6 = 52 + 6 = 58
=》 ST = 58
_____
RainbowSalt2222 ☔
what's the value of x
Answer:
x = 122°
Step-by-step explanation:
There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .
Exterior angle is an angle formed from one side of the polygone and the extended side so
<A and <B are remot angle and <BCD is exterior angle .
And we write the equetion as
<A + <B = <BCD
58° + 64° = x°
122° = X°
so the exterior angle ( x ) measures 122° .
if hj=7x-27 find the value of x
Answer:
x=7
Step-by-step explanation:
HI + IJ = HJ
3x-5 + x-1 = 7x-27
Combine like terms
4x-6 = 7x-27
Subtract 4x from each side
4x-6 -4x= 7x-27-4x
-6 = 3x-27
Add 27 to each side
-6+27 = 3x-27+27
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
Answer:
x=7
Step-by-step explanation:
urn a contains six white balls and seven black balls. urn b contains five white balls and three black balls. a ball is drawn from urn a and then transferred to urn b. a ball is then drawn from urn b. what is the probability that the transferred ball was white given that the second ball drawn was white?
Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.
To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:
P(A|B) = P(B|A) * P(A) / P(B)
where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.
In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:
P(A|B) = P(B|A) * P(A) / P(B)
P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.
P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.
P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.
To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.
The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.
Therefore, we can calculate P(B) as follows:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
= (2/3) * (6/13) + (5/9) * (7/13)
= 89/117
Now we can plug in all the values into Bayes' theorem to find P(A|B):
P(A|B) = P(B|A) * P(A) / P(B)
= (2/3) * (6/13) / (89/117)
= 52/89
Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.
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How much do you think a 12lb cat would weight on the moon? How did you decide that mathematically (bases on the information from the picture of a bunny and dog above)
Answer:
1.98
Step-by-step explanation:
Weight on earth/ 9.81 m/s^2 * 1.622m/s^2
Answer:
the moon has a gravitational force of 1.622m/s2 you multiply the object by the quantity to get the answer you need for how much it weighs on the moon
Step-by-step explanation:
New desktop computer comes packaged in a box shaped like a rectangular prism. The base of the box measures 1. 5 feet by 2 feet. The total surface area of the box is 34 square feet
The height of the box is 4 feet.
Let's denote the height of the box by h (in feet). The total surface area of the rectangular prism can be divided into 6 rectangular faces, where the area of each face is given by its length multiplied by its width.
The two rectangular faces with dimensions 1.5 feet by 2 feet each contribute an area of:
2 x (1.5 x 2) = 6 square feet
The other four rectangular faces will have dimensions (h x 1.5), (h x 2), (h x 1.5), and (h x 2), respectively. So, their total area will be:
2 x (h x 1.5) + 2 x (h x 2) = 3h + 4h = 7h square feet
Adding up the areas of all the faces, we get:
6 + 7h = 34
Simplifying this equation, we get:
7h = 28
Dividing both sides by 7, we find that:
h = 4
Correct Question :
New desktop computer comes packaged in a box shaped like a rectangular prism. The base of the box measures 1. 5 feet by 2 feet. The total surface area of the box is 34 square feet. What is the height of the box?
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Suppose you have an urn (a large vase for which you cannot see the contents) containing 4 red balls and 7 green balls. 1. You pick a ball from the urn and observe its color, and return it to the urn (i.e sample with replacement). Then, you do this again. Consider the events A = {first ball is red}, B = {second ball is green}. (1) Are A and B independent events? Use the mathematical definition of independent events to justify your answer.
No, events A and B are not independent.
Events A and B are not independent because the occurrence of event A (first ball is red) affects the probability of event B (second ball is green). In order for two events to be independent, the probability of the second event must remain the same regardless of whether the first event occurs or not.
Let's consider the probabilities involved. Initially, the urn contains 4 red balls and 7 green balls, making a total of 11 balls. When we pick a ball from the urn and observe its color, there is a probability of 4/11 that the first ball is red. After observing the color and returning the ball to the urn, the urn still contains 4 red balls and 7 green balls.
Now, for event B, the probability of drawing a green ball on the second pick depends on the outcome of the first pick. If the first ball is red, then the probability of the second ball being green is 7/11, since there are still 7 green balls remaining out of the total 11 balls. However, if the first ball is green, then the probability of the second ball being green becomes 6/11, as there are now 6 green balls left out of the total 11 balls.
Since the probability of event B changes depending on whether event A occurs or not, events A and B are not independent.
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City A and City B are 540 miles apart on a map. The scale on the map is 1inch:60 miles. How many inches apart on the map should City A and City B measure. Explain how you would solve this problem. What would the final answer be?
Answer: 9 inch
Step-by-step explanation:
Given
Distance between city A and city B is 540 miles
Scale on the map is 1 inch: 60 miles i.e. 1 inch on the map is equivalent to 60 miles in the real situation
suppose the distance between city A and B on the map is x
\(\therefore \dfrac{1}{60}=\dfrac{x}{540}\\\\\Rightarrow x=\dfrac{540}{60}=9\ in.\)
Therefore, the distance between city A and B is 9 in.
Please help me I really need asap
Answer:
Answer 4
Step-by-step explanation:
The slope is 7.8-4.8/12-7 = 3/5 = 0.6
So choose between 3 & 4
Plug in one of the points in 3:
7.8=0.6*12+1.8
7.8=7.2+1.8
7.8=9 wrong
Plug in 4:
7.8=0.6*12+0.6
7.8=7.2+0.6
7.8=7.8 correct
−2x−7y=30
7x+4y=18
do you need the equations solved? i'll answer in the comments after you lmk what i need to do with the equations lol