Answer:
x = -4
Step-by-step explanation:
\(3=\frac{4x+31}{5}\)
\(15=4x+31\)
\(-16=4x\)
\(x=\frac{-16}{4}\)
\(x=-4\)
Answer:
x = -4
Step-by-step explanation:
3 = (4x + 31) / 5
5 x 3 = 5(4x + 31)
15 = 4x + 31
15 - 31 = 4x + (31 - 31)
-16 = 4x
-16/4 = 4x/4
x = -4
a small retailer wanted to know whether people preferred additional morning or evening hours of operation. to collect the data, the owner stood outside the shop and surveyed the first 25 people who walked by. this is an example of:
The survey is an example of non-probability sampling
What is survey?A survey is a technique for acquiring data from a sample of people by asking pertinent questions with the goal of comprehending populations as a whole. Everyone involved in the information economy, from corporations to the media to the government and academia, relies on surveys as a vital source of information and insights.
There are four modes of surveys that are commonly used.
Face-to-face surveys Telephone surveys Self-administered paper and pencil surveys Online surveyThe survey is an example of non-probability sampling.
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Easy, 13 points: Name the intersection of plane X and plane Y
The intersection of the plane X and plane Y is line CQ.
What is plane?A plane is a two-dimensional flat surface in geometry. It has no thickness and goes on forever.
Here, we have two planes, X and Y.
There will always be a line at the intersection of two planes.
The planes should intersect in a straight line as long as they are not parallel.
Let CQ be the extended line of CB.
And here we have line CQ.
Which is the intersection of the planes.
Therefore, line CQ is the intersection of the planes X and Y.
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A train travels at 80 miles per hour. What equation that compares the time (t) with the distance (d)?
Answer:
80 (t) = d
Step-by-step explanation:
t means time so if the train travels 2 hours
80×2=160miles
The equation that compares the time (t) with the distance (d) would be; 80 (t) = d
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that A train travels at 80 miles per hour. We need to find the equation that compares the time (t) with the distance (d)
where t means time so if the train travels 2 hours then it will travel;
80 × 2 = 160 miles
Therefore, the equation that compares the time (t) with the distance (d) would be; d = 80t.
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The complete question is
A train travels at 80 miles per hour. What equation that compares the time (t) with the distance (d)?
d = 80t
t = 80d
t = d + 80
d = t + 80
Name the bases of the trapezoid shown below;
Answer:
c and d
Step-by-step explanation:
Answer:
C and D are the bases of trapezoid shown.
What is the slope of the line?
Answer:
3/3=1
Step-by-step explanation:
rise over run
CAN SOMEONE PLEASE HELPPP !!!
Answer: NO
It is the third one, x > 7
What I did was I solved for x by adding and dividing.
Step-by-step explanation:
(6x - 4) - ( 2x + 8) is equivalent to
What is the answer to this ?
Answer:
4x - 13
Step-by-step explanation:
( 6x - 4 ) - ( 2x + 8 )
The "-" sign outside of the parenthesis is equivalent to "-", hence one can distribute the "-" sign
( 6x - 4 ) - ( 2x + 8 )
6x - 4 - 2x - 8
Combine like terms
6x - 5 - 2x - 8
4x - 13
5. Today, everything at a store is on sale. The store offers a 25% discount.
A. The regular price of a T-shirt is $20. What is the discount price?
B. If the regular price of an item is x dollars, what is the discount price in dollars?
C. The discount price of a hat is $10. What is the regular price?
Answer:
A. $15
B. x - .25x
C. $12.50
Step-by-step explanation:
A. .25 x $20 = $5
$20-$5 = $15 discounted price of T-shirt
B. x - .25x
C. x + .25x = $10
1.25x = $10
x = $12.50
what is the result of 4.44 x 10⁷ ÷ 2.25 x 10⁵=
The result of the expression 4.44 x 10⁷ ÷ 2.25 x 10⁵ is 1.973 x 10² in scientific notation.
What is meant by expression?
An expression is a combination of numbers, symbols, and operators that represents a mathematical quantity or relationship. It may contain variables, constants, and functions, and can be evaluated or simplified to obtain a numerical or symbolic value.
According to the given information
To divide two numbers in scientific notation, we need to divide their coefficients and subtract their exponents.
Using this formula, we can simplify the given expression as follows:
(4.44 x 10⁷) ÷ (2.25 x 10⁵) = (4.44 ÷ 2.25) x 10^(7-5) = 1.973 x 10²
Therefore, the result of the expression 4.44 x 10⁷ ÷ 2.25 x 10⁵ is 1.973 x 10² in scientific notation.
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The result of the calculation is approximately 197.33. Written in scientific notation, it is 1.97333 x 10².
What is an arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term. For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic sequence with a common difference of 3, since each term after the first is found by adding 3 to the preceding term.
The nth term of an arithmetic sequence can be found using the formula:
an = a1 + (n-1)d
To divide two numbers written in scientific notation, we divide their coefficients (the numbers before the "x 10^") and subtract their exponents. So, for this calculation, we have:
(4.44 x 10⁷) ÷ (2.25 x 10⁵) = (4.44 ÷ 2.25) x 10^(7-5) = 1.973333... x 10²
Therefore, the result of the calculation is approximately 197.33. Written in scientific notation, it is 1.97333 x 10².
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Suppose you are the manager of a firm. The accounting department has provided cost estimates, and the sales department sales estimates, on a new product. Analyze the data they give you, shown below, determine what it will take to break even, and decide whether to go ahead with production of the new product. Cost is C(x) = 135x + 55, 620 and revenue is R(x) = 180x; no more than 2097 units can be sold. The break-even quantity is _____ units, which is than the number of units that can be sold, so the firm produce the product because it would money.
Answer: To determine the break-even quantity, we need to find the point where the revenue equals the cost. In other words, we need to solve the equation R(x) = C(x).
Given:
Cost function: C(x) = 135x + 55,620Revenue function: R(x) = 180xMaximum units that can be sold: 2097Setting R(x) = C(x), we have:
180x = 135x + 55,620Subtracting 135x from both sides of the equation:
180x - 135x = 55,620Simplifying the left side:
45x = 55,620Dividing both sides by 45:
x = 1,236The break-even quantity is 1,236 units.
Since the break-even quantity (1,236 units) is less than the maximum number of units that can be sold (2,097 units), the firm can produce the product because it would make money.
To determine the break-even quantity and decide whether to proceed with the production of the new product, we need to analyze the cost and revenue data provided.
The cost function is given as C(x) = 135x + 55,620, where x represents the quantity of units produced. The revenue function is given as R(x) = 180x. To break even, the total cost and total revenue should be equal. We can set up an equation based on this condition: C(x) = R(x). Substituting the given cost and revenue functions: 135x + 55,620 = 180x
To solve for x, we can subtract 135x from both sides: 55,620 = 45x. Now, divide both sides by 45: x = 1,236. The break-even quantity is 1,236 units.
Since the number of units that can be sold is no more than 2,097 units, which is greater than the break-even quantity of 1,236 units, the firm can produce the product. The break-even point indicates the minimum number of units that need to be sold to cover the costs, and since the firm can sell more than the break-even quantity, it has the potential to make a profit. However, further analysis of other factors such as market demand, competition, and potential profitability should also be considered before making a final decision.
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F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8
Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.
25 / 5 = F / 8
Cross-multiply to solve.
5F = 200
F = 40
Hope this helps!
Discuss four applications of the capital asset pricing model (CAPM). (8 marks) Dzikunze Manufacturing Limited is considering to raise an extra Sh.10 million in order to finance an expansion programme. The company's current capital structure is given as follows: Additional information: 1. The company is considering raising the funds using two alternative financing options namely: Option t: To raise all the funds through the issue of new ordinary shares at par. Option II: To raise half of the funds through the issue of new ordinary shares at par and the balance through the issue of new 12% debentures at par. 2. The corporation tax rate is 30 s. Required: (i) Earnings belore interest and tax (FB|T) at the point of indifference in company's earnings for each financing option. (8 marks).
Capital asset pricing model (CAPM) Applications of Capital Asset Pricing Model (CAPM) are as follows;The most important application of CAPM is in the calculation of the cost of equity.
CAPM is used by financial analysts and investors to determine the appropriate rate of return for individual stocks and portfolios. CAPM is also useful in determining the required rate of return for capital projects. By calculating the cost of equity capital, companies can make better investment decisions by determining which projects will yield the greatest return on investment.
CAPM can be used in the valuation of assets, such as stocks, real estate, and other investments. Finally, CAPM is useful in evaluating risk.
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which of the following below represents the statent " if it is not an apple, then it is not a fruit"?
Answer: Figure A
The rest of the question is shown below.
maggie needs to make 6 tablecloth's she uses 3 3/5 yards of fabric for each tablecloth which is the shortest roll that will have enough fabric to make all the tablecloths
Answer:
21 3/5
Step-by-step explanation:
I think the answer is 21 3/5 because
6×3 3/5=21 3/5 but I'm not positive.
Solve the equation below using a graphing
calculator/desmos. (3 points)
12. e* - In 2x = 3.7
I
Answer:
x = 0.05
x = 1.57
Step-by-step explanation:
The given equation is:
\(e^x-\ln 2x = 3.7\)
Moving all terms to the left side:
\(e^x-\ln 2x - 3.7=0\)
Now we define a function:
\(y=f(x)=e^x-\ln 2x - 3.7\)
The solutions of the equation are the values of x such that y=0.
Since the function cannot be solved by algebraic methods, we use a graphing tool.
Those points where the graph crosses the x-axis are solutions of the equation.
Please refer to the graph in the figure below.
We can clearly identify there are two solutions at
x = 0.05
x = 1.57
Guys plz help me answer this!!!!
Answer:
a= -4
Step-by-step explanation:
subtract 4a from both sides
add 15 to both sides
divide both sides by -3
(order of operations)
Could some one please tell me the explanation and answer to this section I will give 20 points
The expressions when evaluated are √(81/49) = 9/7 and (2/5)² = 4/5
How to evaluate the expressionsFrom the question, we have the following visible expressions that can be used in our computation:
√(81/49) and (2/5)²
Solving (a), we have
√(81/49)
Take the square roots
This gives
√(81/49) = 9/7
The expression cannot be further evaluated
Solving (b), we have
(2/5)²
Evaluate the exponents
This gives
(2/5)² = 4/5
The expression cannot be further evaluated
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order Operation
SIMPLIFY : −2b−5z−6+4b−3z
Answer:
2b - 8z - 6
Step-by-step explanation:
Rearrange the equation, so like terms are near each other
-2b+4b-3z-5z-6
Now we add the b's and z's to get,
2b - 8z - 6
Answer:
2b -8z -6
Step-by-step explanation:
−2b−5z−6+4b−3z
Combine like terms
−2b+4b−5z−3z−6
2b -8z -6
The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first base throws the ball to a player at third base, what is the distance the player has to throw?
Answer:
120ft
Step-by-step explanation:
If the bases are 120ft apart from each other you would have to find the distance of going from first to second then to third. Then you divide it in half because you arent going around the diamond, you are cutting right through it.
Answer:
a
Step-by-step explanation:
a
Suppose that the function g is defined, for all real numbers, as follows.
1x²-5 ifx#-2
g(x)=-
4
if x = -2
Find g (-5), g (-2), and g (5).
8 (-5) = 0
8 (-2) = 0
8 (5) = 0
8
X
Ś
The value of g(-5) is 7.5, g(-2) is 4, and g(5) is 7.5 if the value of function g(x) = 1/2x²-5 if x≠-2 and g(x) = 4 if x = -2.
A function is a rule that associates each element in a set (called the domain) with a unique element in another set (called the range). A function takes an input from the domain and produces an output in the range.
To find the value of g(-5), substitute the value in given function
g(-5) = 1/2×(-5)² - 5
= 1/2×25 - 5
= 12.5 - 5 = 7.5
The value of g(-2) is 4 as it is defined in the question only.
To find the value of g(5), substitute the value in given function
g(5) = 1/2×(5)² - 5
= 1/2×25 - 5
= 12.5 - 5 = 7.5
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Consider an \( x y \)-system of axes and answer the following questions. There are infinitely many sets of two unit vectors that are perpendicular to each other. True False
The statement that says "there are infinitely many sets of two unit vectors that are perpendicular to each other" is true. Therefore, the correct option is True.
In Euclidean geometry, any two vectors can be extended to form an orthogonal basis. Given two linearly independent vectors a and b, the cross product a × b is a third vector c that is orthogonal to both a and b. We may now define a unit vector u_1 in the direction of a by dividing a by its length, and a second unit vector u_2 in the direction of c by dividing c by its length.
The dot product of the vectors a and b in three-dimensional space is defined as:
a · b = |a||b| cosθ
where θ is the angle between the two vectors.
This definition may be extended to any inner product space, giving the angle between a and b with respect to the inner product: The dot product of two vectors is zero if and only if the vectors are perpendicular to each other. Therefore, it is possible to obtain multiple sets of unit vectors which are perpendicular to each other.
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Write the equation for the graph below.
PLEASEE I NEED HELP !
Answer:
X = 3 Y = -3
Step-by-step explanation:
The arrow is on X = 3 and the other side of arrow is on Y = -3
Hope I helped
DaniElSabiondoHow many km have you traveled from the GGB midpoint to get to the beginning of the Quaternary Period? Round to two significant digits.
I am not capable of traveling nor can I provide a distance measurement from the midpoint of the Golden Gate Bridge to the beginning of the Quaternary Period.
However, I can tell you that the Quaternary Period is the most recent geological period, starting about 2.6 million years ago and continuing to the present day. It is divided into two epochs: the Pleistocene (2.58 million to 11,700 years ago) and the Holocene (11,700 years ago to present). In terms of distance, the concept of traveling to the beginning of the Quaternary Period doesn't apply since it refers to a time period rather than a physical location. It is characterized by the widespread formation of ice sheets, as well as the evolution of modern humans. It is important to note that geological periods are measured in time, not distance. Therefore, the question does not have a valid answer.
If you have any more questions, feel free to ask.
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As a town gets smaller, the population of its high school decreases by 7% each year. The senior class has 320 students now. In how many years will it have about 100 students? Write
an equation. Then solve the equation without graphing.
Write an equation to represent this situation. Let n be the number of years before the class will have 100 students.
(Type an equation using n as the vanable. Use integers or decimals for any numbers in the equation)
Help again please
Therefore, in about 15 years and 2 months, the senior class will have about 100 students.
What is equation?An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.
Given by the question.
Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).
Then, we can write the following equation to represent the situation:
P\((1-r)^{n}\) = 100
We know that the current population of the senior class is 320, so we can substitute these values into the equation:
320\((1-0.07)^{n}\) = 100
Simplifying the equation, we get:
\(0.93^{n}\) = 0.3125
Taking the natural logarithm of both sides, we get:
n ln (0.93) = ln (0.3125)
Dividing both sides by ln (0.93), we get:
n = ln (0.3125) / ln (0.93)
Using a calculator, we find that n is approximately equal to 15.21 years.
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What scale factor takes hexagon J to hexagon K?
Answer:
Step-by-step explanation:
boody boody
what is the graph of the following function??
PLEASE HELP!!
Answer:
umm it's a piecewise function and I think the graph is correct I don't really understand what you mean by what is the "graph" of the following function since the graph is already there...
Step-by-step explanation:
A group of 3 people are sharing chocolates. Each person wants 8 chocolates and each box has 6 chocolates. How many boxes do they need?
Answer:
Step-by-step explanation:
4 boxes should do
please help! this assgiment was due like a week ago and i’m missing so many more i just need help finishing this!
Answer:
17.5hrs
Step-by-step explanation:
Set they worked for x hours,
10x+35=210
10x=175
x=17.5
Carter Motor Company claims that its new sedan, the Libra, will average better than 70 miles per gallon in the city. Use μ, the true average mileage of the Libra. Express the null hypothesis H0 and the alternative hypothesis H1 in symbolic form.
The H0: μ = 70 H1: μ > 70 These are the null and alternative hypotheses in symbolic form for the given scenario.
How we Express the null hypothesis and the alternative hypothesis in symbolic form?express the null hypothesis (H0) and alternative hypothesis (H1) for the given situation involving the Carter Motor Company and their claim about the Libra's average city mileage.
The null hypothesis (H0) is the default assumption that there is no difference or relationship between the tested parameters. In this case, it would be that the true average mileage (μ) of the Libra is equal to 70 miles per gallon in the city:
H0: μ = 70
The alternative hypothesis (H1) is the claim that we want to test, which is that the true average mileage (μ) of the Libra is better than (greater than) 70 miles per gallon in the city:
H1: μ > 70
These are the null and alternative hypotheses in symbolic form for the given scenario.
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Aaron answered 7 out of 12 questions correctly on his last English quiz. Find his grade
to the nearest whole percent.
Answer:
Step-by-step explanation:
58%
7/12 into a percentage