Answer: 5 1/4
Step-by-step explanation:
hope this helps!
Combine like terms to create an equivalent expression.
-2.5\left(4x-3\right)−2.5(4x−3)
The expression equivalent to the given expression is 7.5 - 10x
Writing an equivalent expressionFrom the question, we are to create an equivalent expression to the given expression
The given expression is
-2.5(4x - 3)
To determine the equivalent expression, we will simplify the expression by applying the distributive property.
Simplifying the expression
-2.5(4x - 3)
Apply the distributive property
-10x + 7.5
= 7.5 - 10x
Hence, the expression is 7.5 - 10x
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Determine which letter on the numberline best represents the radical(photo attached)
Answer:
The square root of 133 is 11.53. The closest to this number would be point D.
express each sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation :1^2+2^2+3^2...+15^2
Given the summation:
1² + 2² + 3² + ... + 15²
Let's express the sum using summation notation.
Let's use 1 as the lower limit and i for the index of summation.
To write the summation notation of the given expression, we have:
\(\sum_{n\mathop{=}1}^{15}n^2\)Here, we. have 15 numbers.
This means the number of terms is 15.
The lower limit is .
Thus, we have: n = 1.
Therefore, the summation notation for the expression is:
\(\sum_{n\mathop{=}1}^{15}n^2\)ANSWER:
\(\sum_{n\mathop{=}1}^{15}n^2\)For the given expression, 1² + 2² + 3² + ... + 15², the summation of the series is 1240.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is given that the expression is,
1² + 2² + 3² + ... + 15²
Let's use summation notation to represent the sum. Let's use I as the index of summation and 1 as the lower limit. We have the following information to write the expression's summation notation:
\(\sum n^2\)
The summation is from n=1 to n=15
=1240
Thus, for the given expression, 1² + 2² + 3² + ... + 15², the summation of the series is 1240.
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MODELING REAL LIFE A cell phone company charges a
monthly fee plus $0.25 for each text message you send.
The monthly fee is $30.00. You owe $59.50. How many
text messages did you send? Justify your answer.
Show work
Answer:
dwmkwddddncdnnknnsdlnldkldskcnds
Step-by-step explanation:
klkkl
What are the solutions to the equation (x+5)2=32 ?
Answer:
x = 11
Step-by-step explanation:
(x+5)2 = 32
2x + 10 = 32
2x = 32 - 10
2x = 22
x = 11
Answer:
x = - 5 ± 4\(\sqrt{2}\)
Step-by-step explanation:
Given
(x + 5)² = 32 ( take the square root of both sides )
x + 5 = ± \(\sqrt{32}\) = ± 4\(\sqrt{2}\) ( subtract 5 from both sides )
x = - 5 ± 4\(\sqrt{2}\) , then
x = - 5 - 4\(\sqrt{2}\) , x = - 5 + 4\(\sqrt{2}\)
A painting is 6 in tall and 18 in wide. If it
is reduced to a height of 1 in, then how
wide will it be?
A. 108 in B. 4 in C. 2 in D. 3 in
Answer:
your answer is b
Step-by-step explanation:
Jerome and Tara played in a golf
tournament with four rounds. Their
scores for the rounds are given below.
If their final score is the sum of their
four rounds, which statement is true?
Round 1 Round 2 Round 3 Round 4
-4
5
-6
-2
2
-5
-4
-1
Jerome
Tara
Answer:JEROME
Step-by-step explanation:
What does 2k^4 * 10k^-7 equal?
Answer:
0.0000016k
Step-by-step explanation:
1. Solve
2k^4x10k^-7
16k*0.0000001k
0.0000016k
#6 need help asap will give brainly
total surface area Stot = 636 ft2
lateral surface area Slat = 420 ft2
top surface area Stop = 108 ft2
bottom surface area Sbot = 108 ft2
If f(x) = -4(x+1) ; find the following.
1) 8f(-4) / f(3) = ?
2) 3f(-13) + 5f(6) = ?
3) -4f(1) - 9f(-1) = ?
4) -2f(4) × f(-5) = ?
Answer:
1. Ans;
\(f(x) = - 4(x + 1) \\ \\ f( - 4) = - 4( - 4 + 1) = - 4( - 3) = 12 \\ 8f( - 4) = 8(12) = 96 \\ \\ f(3) = - 4(3 + 1) = - 4(4) = - 16 \ \\ \\ \frac{8f( - 4)}{f(3)} = \frac{96}{ - 16} = - 6\)
2. Ans;
\(f(x) = - 4(x + 1) \\ \\ f( - 13) = - 4( - 13 + 1) = - 4( - 12) = 48 \\ 3f( - 13) = 3(48) = 144 \\ \\ f(6) = - 4(6 + 1) = - 4(7) = - 28 \\ 5f(6) = 5( - 28) = - 140 \\ \\ 3f( - 13) + 5f(6) = 144 + ( - 140) \\ = 144 - 140 \\ = 4\)
3.Ans;
\( f(x) = - 4(x + 1)\\ f(1) = - 4(1 + 1) = - 4(2) = - 8 \\ - 4f(1) = - 4( - 8) = 32 \\ \\ f( - 1) = - 4( - 1 + 1) = - 4(0) = 0 \\ 9f( - 1) = 9(0) = 0 \\ \\ - 4f(1) - 9f( - 1) = 32 - 0 = 32\)
4.Ans;
\( f(x) = - 4(x + 1)\\ f(4) = - 4(4 + 1) = - 4(5) = - 20 \\ - 2f(4) = - 2( - 20) = 40 \\ \\ f( - 5) = - 4( - 5 + 1) = - 4( - 4) = 16 \\ \\ - 2f(4) \times f( - 5) = 40 \times 16 = 640 \)
I hope I helped you^_^
1. Check whether the given function is a probability density function. If a function fails to be a probability density function, say why.
a) f(x) = x on [0, 7]
<1> Yes, it is a probability function.
<2> No, it is not a probability function because f(x) is not greater than or equal to 0 for every x.
<3> No, it is not a probability function because f(x) is not less than or equal to 0 for every x.
<4> No, it is not a probability function because\int_{0}^{7}f(x)dx ≠ 1.
<5> No, it is not a probability function because\int_{0}^{7}f(x)dx = 1.
b) f(x) = ex on [0, ln 2]
<1> Yes, it is a probability function.
<2> No, it is not a probability function because f(x) is not greater than or equal to 0 for every x.
<3> No, it is not a probability function because f(x) is not less than or equal to 0 for every x.
<4> No, it is not a probability function because\int_{0}^{\ln 2}f(x)dx ≠ 1.
<5> No, it is not a probability function because\int_{0}^{\ln 2}f(x)dx = 1.
c) f(x) = −2xe−x2 on (−[infinity], 0]
<1> Yes, it is a probability function.
<2> No, it is not a probability function because f(x) is not greater than or equal to 0 for every x.
<3> No, it is not a probability function because f(x) is not less than or equal to 0 for every x.
<4> No, it is not a probability function because\int_{-\infty }^{0}f(x)dx ≠ 1.
<5> No, it is not a probability function because\int_{-\infty }^{\0}f(x)dx = 1.
a) No, it is not a probability density function because f(x) is not greater than or equal to 0 for every x. Specifically, f(x) is negative for x < 0.
b) Yes, it is a probability density function. The function is always positive on [0, ln 2], and its integral from 0 to ln 2 is equal to 1.
c) No, it is not a probability density function because f(x) is not greater than or equal to 0 for every x. Specifically, f(x) is negative for x < 0, and its integral over its domain from -∞ to 0 is not equal to 1.
what is probability?
Probability is the measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In other words, probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given situation. It is used in a wide range of fields, including mathematics, statistics, physics, engineering, finance, and more, to make predictions and informed decisions based on uncertain or random events.
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Let C = 100 + 80x be the cost to manufacture x items. Find the average cost per item to produce 50 items. The average cost per item is $
To find the average cost per item to produce 50 items, we need to divide the total cost of manufacturing 50 items by 50.
First, let's plug in x = 50 into the cost function C = 100 + 80x:
C = 100 + 80(50)
C = 100 + 4000
C = 4100
So, it costs $4100 to manufacture 50 items.
To find the average cost per item, we divide the total cost by the number of items:
Average cost per item = total cost / number of items
Average cost per item = $4100 / 50
Average cost per item = $82
Therefore, the average cost per item to produce 50 items is $82.
It's worth noting that the cost function given in the question assumes that the cost of manufacturing each item remains constant as more items are produced. This is known as the "constant marginal cost assumption". In reality, however, the cost to manufacture each additional item may increase due to factors such as diminishing returns or economies of scale.
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How do Pyramid multiplication of fraction…..pls help meh I’m going to die from due homework’s
Answer:
To help you with solving of this multiplication pyramid game we created small help: if the digit on the top of the multiplication pyramid is greater than 100, the digit will be pre-filled. Press "Check it" to find out if the result is OK.
Step-by-step explanation:
What inequality is graphed below?
The movie theater makes $750 in a hour period, how many hours will it take for the theater to make $2575?
Answer:
3.43 hrs
or
3 13/30
orrrr
103/30
Step-by-step explanation:
Find positive numbers x and y satisfying the equation xy such that the sum xy is as small as possible.
To find positive numbers x and y that satisfy the given condition, we need to minimize the sum x + y while keeping the product xy constant. We can use the Arithmetic Mean-Geometric Mean (AM-GM) Inequality for this problem. The AM-GM inequality states that the arithmetic mean of a set of non-negative numbers is always greater than or equal to the geometric mean of the same numbers.
In this case, we have two numbers, x and y. The arithmetic mean of x and y is (x + y)/2, and the geometric mean is √(xy). According to the AM-GM inequality, we have:
(x + y)/2 ≥ √(xy)
Multiplying both sides by 2, we get:
x + y ≥ 2√(xy)
Now, we want to minimize the sum x + y, which means we need to find the minimum value for the right-hand side of the inequality. The minimum value occurs when the inequality becomes an equality:
x + y = 2√(xy)
To achieve this equality, x must be equal to y (x = y). This is because the arithmetic mean and geometric mean are equal only when all the numbers in the set are equal. Therefore, x = y and the product xy will have the minimum sum. The exact values of x and y will depend on the given constraint for the product xy.
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Q7. y is inversely proportional to x. When y = 15,x=4 Find the value of y when x = 12.
By using concept of linear equation we get the value of y = 5 when x=12.
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.
According to the question:
If y is inversely proportional to x, it means that y and x are related by the equation y = k/x, where k is a constant of proportionality.
To find the value of k, we can use the initial values of y and x given in the problem or can make a linear equation:
y = k/x
15 = k/4
Multiplying both sides by 4:
k = 60
Now that we know the value of k, we can use it to find the value of y when x = 12:
y = k/x
y = 60/12
y = 5
Therefore, when x = 12, y = 5.
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Game designers are testing two versions of the same video game. In the first version, the on-screen character begins in the center of the screen and moves −3 pixels lower each time players hit the down button. In the second version, the character's vertical position, v, is shown by the equation v = −5x + 1,136, where x is the number of times the player has pressed the down button. The number 1,136 shows that the character starts at the top of the screen, which is 1,136 pixels high. In which version of the game does hitting the down button have a greater effect? Complete the explanation.
the answer is v= -5x + 1136
Salary = 95000 + 1280 ∙ (Years)Note that Years is the number of years a professor has worked at a college, and Salary is the annual salary (indollars) the professor earns.Interpret the intercept in the context of the data. State whether the value is meaningful.
The intercept in the context of the data is the value of $95,000. This represents the base salary that a professor would earn with zero years of experience at the college. However, the value of the intercept may not be meaningful as it implies that a professor with zero years of experience would still earn a salary of $95,000, which is unlikely in most real-world scenarios.
The given equation represents a linear regression model where Salary is the dependent variable and Years is the independent variable. The intercept, $95,000, is the value of Salary when Years is equal to zero. In other words, it represents the base salary that a professor would earn with zero years of experience at the college.
However, it's important to note that the intercept may not be meaningful in this context. A base salary of $95,000 for a professor with zero years of experience may not be realistic, as it implies that a professor would earn a significant salary even without any experience. In most real-world scenarios, it's unlikely that a professor with no years of experience would start with such a high salary.
Therefore, the intercept in this case may not hold much meaning and should be interpreted with caution when considering the actual salary of a professor with zero years of experience at the college. It's important to consider other factors and data points to determine a more realistic base salary for professors
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Determine whether each pair of expressions is equivalent. Explain your reasoning.
The answer is:
\(\large\textbf{They aren't equivalent.}}\)
In-depth explanation:
To determine the answer to this problem, we will use one of the exponent properties:
\(\sf{x^{-m}=\dfrac{1}{x^m}}\)
And
\(\sf{\dfrac{1}{x^{-m}}=x^m}\)
Now we apply this to the problem.
What is 4⁻³ equal to? Well according to the property, it's equal to:
\(\sf{4^{-3}=\dfrac{1}{4^3}}\)
And this question asks us if 4⁻³ is the same as 1/4⁻3.
Well according to the calculations performed above, they're not equivalent.
Identify the value of d. Give your answers in simplest radical form.
d = 6
d=6–√2
d = 5
d=36–√2
Answer:
d = 6\(\sqrt{2}\)
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° = \(\frac{\sqrt{2} }{2}\) , then
sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{d}{12}\) = \(\frac{\sqrt{2} }{2}\) ( cross- multiply )
2d = 12\(\sqrt{2}\) ( divide both sides by 2 )
d = 6\(\sqrt{2}\)
The value of d in the simplest radical form is 6√2
What are trigonometric ratios?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Given is a right triangle, with an acute angle measuring 45°, with a hypotenuse of 12 units,
We need to find value of d,
We know that, sine of an angle is the ratio of adjacent side to hypotenuse,
Therefore,
sin45° = d/12
1/√2 = d/12
d = 6√2
Hence, the value of d in the simplest radical form is 6√2
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Find the value of x by using law of sines.
Answer:
x = 7.7
Option B
Step-by-step explanation:
\( \frac{a}{Sin~A} &=& \frac{b}{Sin~b} \\ \frac{8}{Sin~73^\circ} &=& \frac{x}{Sin~67^\circ} \\ \frac{8}{0.96} &=& \frac{x}{0.92} \\ 0.96x &=& 8 \times 0.92 \\ 96x &=& 8 \times 92 \\ 96x &=& 736 \\ x &=& \frac{736}{96} \\ x&=& \frac{23}{3} \\ &\boxed{x=7.7}&\)
∴ value of x is 7.7
a number s is at least -2 or less than -6
Answer:
-6<x<-2
Step-by-step explanation:
NEED NOW!!! If the two friends in excercise 2 race for 4 miles at their constant rates who will win the race.!!!
Answer:8
Step-by-step explanation:
Classify the following triangle. Check all that apply
A. Isosceles
B. Obtuse
C. Acute
D. Right
E. Scalene
F. Equilateral
What is the midpoint of the segment with endpoints (1, 9) and (-3, 5) ?
Please help I will give 10 points
Answer:
The answer is
( - 1 , 7)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(1, 9) and (-3, 5)
The midpoint is
\(M = ( \frac{1 - 3}{2} \: , \: \frac{9 + 5}{2} ) \\ = ( - \frac{2}{2} \: , \: \frac{14}{2} )\)
We have the final answer as
( - 1 , 7)Hope this helps you
According to a soccer coach, 75% of soccer players have had at least one sprained ankle. An athletic trainer would like to investigate this claim. To do so, the trainer selects a random sample of 125 college soccer players from across the country and finds that 99 of them have had at least one sprained ankle. The trainer would like to know if the data provide convincing evidence that the true proportion of college soccer players who have had at least one sprained ankle is greater than 75%. What are the appropriate hypotheses for this test
The appropriate hypotheses for this test are
p = 0.75 for Null Hypothesis.
p > 0.75 for Alternative Hypothesis.
Given that,
According to a soccer coach, 75% of soccer players have had at least one sprained ankle.
Null Hypothesis (H₀):
The true proportion of college soccer players who have had at least one sprained ankle is equal to 75% is,
p = 0.75
Alternative Hypothesis (Ha):
The true proportion of college soccer players who have had at least one sprained ankle is greater than 75%.
p > 0.75
Here, We are testing if the true proportion is greater than 75%, so the alternative hypothesis should reflect that.
The null hypothesis assumes the proportion is equal to 75%.
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If m22 = 137 and mzp= 22, what is mzo? 43 21 65 115
Supplementary angles are two angles whose measures add up to 180°
1 and 2 are supplementary, then:
137 + x=180
x=180-137
x=43
We find the angle 1
The sum of the three angles of any triangle is equal to 180 degrees.
Simplify the expression.
( I got 144, but i'm not sure)
Answer:
144 is correct
Step-by-step explanation:
13 - 1 is 12
12 times 12 = 144
144 divided by 2 is 72
72 times 2 is 144
Answer:
yes the answer is correct 144
Step-by-step explanation:
I hope this answer is correct please tell me
Express 1764 as a product of their prime factors, giving your answer in index form. Hence evaluate √1764?
The prime factorization is 2*2*21*21.
The value of √1764 is 42.
What is prime factorization?Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.
Given number:
1764
Now prime factorization as follows
2 | 1764
2 | 882
21 | 441
21 | 21
| 1
Hence, the prime factorization is 2*2*21*21
and, √1764= 21*2=42
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