Step-by-step explanation:
it indicates f(x) and g(x)
Answer:
3,3 is a placment in a graph
Step-by-step explanation:
Which description is paired with its correct expression?
four less than the quotient of a number cubed and seven, increased by three; 4-2+3
five times the difference of a number squared and six; 5(6-n²)
nine more than the quotient of six and a number cubed, decreased by four; 8+²-4
9+
O twice the difference of nine and a number squared; 2(9-n²)
The correct pairings are:
a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
b) Five times the difference of a number squared and six: 5(n² - 6)
c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
d) O twice the difference of nine and a number squared: 2(9 - n²)
The correct pairings of descriptions and expressions are as follows:
Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.
Five times the difference of a number squared and six: 5(n² - 6)
This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.
Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.
O twice the difference of nine and a number squared: 2(9 - n²)
This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.
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Can someone explain what i do to solve for this!
what's up? i think the distance from D to F would be 32.2
we are given DU which is 16.1, and that is half of DF so we just need to perform 16.1(2)= 32.2
best of luck with your studies :)
The length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 ft squared. find the dimensions of the rectangle
The dimensions of the rectangle are 4 ft by 5 ft.
Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.
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IN CASE YOU ARE LOOKING FOR THE ANSWER
A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. Earth has a radius of 3959 mi.
What is the climber's distance to the horizon?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer: The answer is 171.2 Miles
Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.
Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.
The function for the cost of materials to make a hat is f(x)=1/2 x+1 where x is the number of hats. The function for the selling price of those hats is g(f(x)) where g(x)=x+2 find the selling price of 10 hats???
Answer:
Step-by-step explanation:
g(f(10)) = g(½·10+1)
= g(6)
= 6+2
= 8
Answer:
the answer is 10
Step-by-step explanation:
A softball pitcher has a 0.64 probability of throwing a strike for each pitch. If the softball pitcher throws 20 pitches, what is the probability that exactly 13 of them are strikes
The prοbability that exactly 13 οf the 20 pitches are strikes is apprοximately 0.1835 οr 18.35%.
What is binοmial distributiοn?The binοmial distributiοn is a prοbability distributiοn that mοdels the number οf successes in a fixed number οf independent trials with a cοnstant prοbability οf success.
It is used tο calculate the prοbability οf getting k successes in n trials, where each trial has a prοbability οf p οf success.
The fοrmula fοr the prοbability οf k successes in n trials with prοbability p οf success in each trial is:
\(P(k) = (n, k) \times p^{k} \times (1-p)^{n-k}\)
Here we have
A softball pitcher has a 0.64 probability of throwing a strike for each pitch. The softball pitcher throws 20 pitches,
This problem can be solved using the binomial distribution
The formula for the probability of k successes in n trials with probability p of success in each trial is:
\(P(k) = (n, k) \times p^{k} \times (1-p)^{n-k}\)
On substituting the values, we get:
P(13) = (20, 13) × 0.64¹³ ×(1-0.64)⁽²⁰⁻¹³⁾
= (20! / (13! × 7!)) × 0.64¹³ × 0.36⁷
= 77520 × 0.00000236
= 0.1835 (rounded to four decimal places)
Therefore,
The probability that exactly 13 of the 20 pitches are strikes is approximately 0.1835 or 18.35%.
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A small pizza has an area of
730
730730 square centimeters.
Write an inequality that describes
p
pp, the area of a pizza that is larger than a small pizza.
The inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
What is inequality?
Inequality refers to the miracle of unstable and/ or unjust distribution of coffers and openings among members of a given society. The term inequality may mean different effects on different people and in different surroundings. The major exemplifications of social inequality include income gap, gender inequality, health care, and social class. In health care, some individuals admit better and further professional care compared to others.
From the information given, we have that;
Area of the small pizza = 730(seven hundred thirty) square centimeters
p = area of the larger pizza
In writing inequality, we have to use the signs
< less than
> greater than
Since p has a greater area, we have
730(seven hundred thirty) < p
Thus, the inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
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Solve for u.
127-u = 258
24 =
What is u?
127 - u = 258
-u = 258 - 127
-u = 131 | : (-1)
u = -131
Answer:
127-u=258
258-127=131
the number /3 goes on forever with no repeating pattern;therefore,it is rational
Answer:
Actually this is irrational
Step-by-step explanation:
Irrational numbers continue forever without repeating for a good example would be pi
Write an equation of the line that passes through the points (−6,20) and (0, 8).
Answer:
y = -2x + 8
Step-by-step explanation:
(−6, 20) and (0, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - 20) / (0 - (-6))
Simplify the parentheses.
= (-12) / (6)
Simplify the fraction.
-12/6
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.
8 = -2(0) + b
To find b, multiply the slope and the input of x(0)
8 = 0 + b
b = 8
Plug this into your standard equation.
y = -2x + 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-6, 20).
y = -2x + 8
20 = -2(-6) + 8
20 = 12 + 8
20 = 20
Your equation is correct.
Hope this helps!
Tara Sergio took out a single-payment loan for $2,500 at 8.75% ordinary interest to pay her federal income tax bill. If the maturity value of the loan was $2,572.92, in how many days would Tara have to pay back the loan?
Answer:
120 days-------------
First determine the interest and then use the formula for ordinary interest.
Calculate the interest:
Maturity Value = Principal + Interest Interest = Maturity Value - Principal = 2572.92 - 2500 = 72.92Use the ordinary interest formula:
Interest = (Principal × Rate × Time) / 360, where Rate is the annual interest rate, and Time is in days.Plug in the values and solve for Time:
72.92 = (2500 × 8.75% × Time) / 360 or72.92 = (2500 × 0.0875 × Time) / 360Isolate the Time variable:
Time = (360 × 72.92) / (2500 × 0.0875) = 26251.2 / 218.75 ≈ 120Tara would have to pay back the loan in approximately 120 days.
Based on your knowledge of how to find the volume of prisms, how would you find the volume of a cylinder?
Suppose p is even and q is odd. Then which of the following cannot be an integer ?
i. (p+q)/p
ii. pq/3
iii. q/p^2
a.ii only
b. iii only
c. i and ii only
d. i and iii only
FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205
Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)
Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)
Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)
Answer:
Part A:
To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.
Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135
Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54
Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189
Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100
Percentage = (189 / 205) x 100 = 92.2%
Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.
Part B:
To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.
Frequency of "Likes hamburgers" = 110 (given)
Total respondents = 205 (given)
Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents
Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%
Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.
Part C:
To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.
Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)
Marginal frequency of "Likes hamburgers" = 110 (given)
Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)
To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:
Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")
Ratio = 29 / (110 x 70)
Ratio ≈ 0.037 (rounded to three decimal places)
Which of the following explains why this inequality is true?
7 3/8 × 4/5 < 7 3/8
The answers I have to choose from are:
A. When 7 3/8 is multiplied by a number greater than 1, the product is more than 7 3/8
B. When 7 3/8 is multiplied by a number greater than 1, the product is less than 7 3/8
C. When 7 3/8 is multiplied by a number less than 1, the product is more than 7 3/8
D. When 7 3/8 is multiplied by a number less than 1, the product is less than 7 3/8.
The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
Explain about the term mixed fractions:Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.
Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.
We can convert the two fractions to decimal form in order to compare them.
7.375 is equivalent to 7 3/8, and
4/5 is equivalent to 0.8.
7.375 multiplied by 0.8 results in:
7.375 × 0.8 = 5.9
Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.
Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
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which of the binomials below is a factor of this trinomial
x^2-13x+30
The binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.
To determine which binomial is a factor of the trinomial x² - 13x + 30, we need to factorize the trinomial completely.
In this case, we need to find two binomials in the form (x - a)(x - b) that satisfy the equation:
(x - a)(x - b) = x² - 13x + 30
So, (x - 3)(x - 10) = x² - 13x + 30.
Therefore, the binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.
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Solve for x
(4x + 10)
(5x - 13)
Answer:
x = -2.5
x = 2.6
Step-by-step explanation:
4x = -10
divided both by 4
x = -2.5
5x = 13
divided by both 5
x = 2.6
solve i = Prt for t given that P=300, r=7% and I =105 solve for t
I = Pr t
P = 300
r = 7% = divide by 100 = 7/100 = 0.07 (decimal form)
I = 105
Replace
105 = 300 (0.07) t
Solve for t:
105 = 21 t
105/21 = t
t = 5
BASIC GEOMETRY. MARK BRAINLIEST
Please EXPLAIN & ANSWER number 5, 6, AND 7. Thank you, I really need your help to understand it.
Answer with Step-by-step explanation:
5
118+<1=180 [Angles in a straight line]
<1=62
62+73+<2=180 [Angles of a triangle]
<2=45
<1+<2+<3+49=180[Angles of a triangle]
<3=24
6
<3=47 [Alternate interior angles]
<2=52 [Alternate interior angles]
<1+<2=180[Angles in a straight line]
<1=128
<3+<4=180[Angles in a straight line]
<4=133
<2+<3+<5=180[Angles of a triangle]
<5=81
7
<3=95[Vertically opposite angles]
<3+<2=180[Angles in a straight line]
<2=85
<4=85[Vertically opposite angles]
144+<5=180[Angles in a straight line]
<5=36
<3+<5+<6=180[Angles of a triangle]
<6=49
<5+38+<7=180[Angles of a triangle]
<7=106
<6+90+<1=180[Angles of a triangle]
<1=41
6. find the five-number summary
The solution to find the five number summary shown below.
What is five number summary?When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.
To find a five number summary we have follow:
Sort the numbers from smallest to largest in ascending order.The smallest number on the list is the minimum.The greatest number in the list is the maximum.The middle of the list is where you'll find the median.The median of the first half of the data makes up the lower quartile.Learn more about five number summary here:
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Which expression is equivalent to Z +( z 6?
None of the solutions are appropriate since the result of the equation z + (z+6) will be equal to 2z + 6.
An expression is defined.A mathematical expression is the result of combining a number of mathematical symbols with an arithmetic operator, a variable, and a constraint.
In a different sense, expression is highly helpful in identifying the root or end value of a constraint.
for instance, 3x + 5y
The expression restriction is denoted by the symbols = or, >.
Given the phrase,
z + (z+6)
opening the bracket
z + z + 6
⇒ 2z + 6
Hence
"2z + 6 will be the value of the equation z + (z+6)."
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One jar of spaghetti sauce is made with 1/4 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answer:
you can make 12 cans of them
Suppose we want to choose a value of x at least 5 units away from 14.A) Think about some values of x that meet this constraint.B) Write an inequality that represents all values of x that meet this constraint. Hint. no answer givenC) On the number line below, represent all values of x that meet this constraint. Clear All Draw: Line segments and raysClosed dotOpen dot
Answer:
(a) [9, 19]
(b) \(9 \leq x \leq 19\)
(c)See attachment
Step-by-step explanation:
We want to choose a value of x at least 5 units away from 14.
(a)Now, 14-5=9 and 14+5=19
The possible values of x ranges is in the closed interval [9,19]
(b) Since x is at least 5 units away from 14, we have:
\(|14-x|\leq5\)
Solving the absolute inequality
\(-5 \leq 14-x \leq 5\\$In $ -5 \leq 14-x\\ x \leq 14+5\\x \leq 19\\\\$In $ 14-x \leq 5\\ 14-5 \leq x\\9 \leq x\\$Therefore,an inequality that represents all values of x that meet this constraint is:$\\9 \leq x \leq 19\)
(c)To draw the number line, we use a closed dot since we have a less than or equal to sign.
Inequalities are used to represent unequal expressions.
The inequality that represents the scenario is \(\mathbf{|x-14| \ge 5}\)Some possible values of x are: 5 and 20Represent the value with x.
A value that is at least 5 from 14 can take any of the following forms:
\(\mathbf{14 -x \ge 5}\)
\(\mathbf{x-14 \ge 5}\)
The inequalities can be combined as:
\(\mathbf{|x-14| \ge 5}\)
The values of x are solved as follows:
\(\mathbf{14 -x \ge 5}\)
\(\mathbf{14 - 5 \ge x}\)
\(\mathbf{9\ge x}\)
Rewrite as:
\(\mathbf{x \le 9}\)
Similarly, we have:
\(\mathbf{x-14 \ge 5}\)
\(\mathbf{x \ge 14 + 5}\)
\(\mathbf{x \ge 19}\)
So, we have:
\(\mathbf{x \le 9}\) or \(\mathbf{x \ge 19}\)
This can be combined as:
\(\mathbf{9 \ge x \ u\ x \ge 19}\)
Some possible values of x are: 5 and 20
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6x^2=-3x+1 to the nearest hundredth
The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
6x² = -3x + 1
To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:
6x² + 3x - 1 = 0
Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)
Here; a = 6, b = 3, and c = -1.
Let's substitute these values into the quadratic formula:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)
Therefore, the values of x are -0.73 and 0.23.
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PLS HELP FOR REAL!!! WHAT IS THE ANSWER FOR THE 2nd ONE!! I NEED AN EXPLANATION AND ANSWER FOR IT! HUGE POINTS IF ANSWER!
Answer:
76ft^3
Step-by-step explanation:
Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3
Jaxon Rollison
10 of 1410 of 14 Items
Question
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $692.
What was the total amount of her sales for the week?
Answer:
6200
Step-by-step explanation:
first find how much she would make purely based on hours worked:
8x40 = 320 dollars
next subtract this from total on her paycheck so 692-320 is 372
we know that 372 is 6% of a number so...
\(\frac{6}{100}\) x = 372
\(\frac{6x}{100}\) = 372
6x= 37200(100)
x=6200 $ divide by 6
so she sold $6200 worth of merchandise to earn $372 of commission
multiply (d + 4) (d - 4)
Answer:
\(d^{2}\) - 16.
Step-by-step explanation:
To solve for the product of (d + 4) and (d - 4), we can use the FOIL method.
What does 'FOIL' Stand for?First Outer Inner LastThis means we multiply the first terms, then the outer, then the inner, and finally the last terms, then we add all the products together.
So, (d + 4) (d - 4) can be expanded like this:
First: d × d = \(d^{2}\) Outer: d × -4 = -4d Inner: 4 × d = 4d Last: 4 × -4 = -16Adding all of them together, we get: \(d^{2}\) - 4d + 4d - 16, which simplifies to \(d^{2}\) - 16.
Therefore, (d + 4)(d - 4) = \(d^{2}\) - 16.
Choose choose the algebraic expression that correctly represents the phrase, the cube of two more than five times a number
Answer:
c = 2 + 5n
Step-by-step explanation:
What is the slope of the line passing through the point (2, -1) and the origin?
A. –2
B. -1/2
C. 1/2
D. 2
E. undefined
Answer:
B
Step-by-step explanation:
it goes 1 space up(+), 2 space left(-), to find the slope you have to do rise/run
so -1/2
What is the slope of the line passing through (-3, 5) and (5, -3)?
Answer:
The line has a slope of -1.
Step-by-step explanation:
To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like \(\frac{rise}{run}\), but in terms of finding a slope, it looks like \(\frac{y_{2 }-y_{1} }{x_{2} -x_{1} }\).
For finding the slope of this line with the points (-3,5) and (5,-3), start by writing down the information given from the question.
\(y_{2}=-3\)
\(y_{1}= 5\)
\(x_{2}=5\)
\(x_{1} =-3\)
Next, plug in the information given from the question into the formula, and the formula will look like \(\frac{-3-(5)}{5-(-3)}\). Then, simplify the equation, which will look like \(\frac{-8}{8}=-1\). The final answer will be -1.