Answer:
The slope, 42, means that for each additional guest the cost of the banquet increases by 42 dollars.
Step-by-step explanation:
The slope of the equation given stands for the rate at which the cost is increasing for each additional guest at the banquet, in this case, $42 per guest.
Explanation:In the equation C=750+42g, the slope is represented by the number 42. In the context of this problem, it is the cost per guest for the banquet. Meaning, for each additional guest (g), the total cost (C) of the banquet increases by $42. Therefore, the slope 42 signifies the rate at which the total cost of the banquet will increase per additional guest.
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On a bike ride, Aaron travels 6 miles east of his apartment and then 8 miles north. If, at this point, Aaron decided to travel a straight line distance back to his apartment, how many total miles would he have traveled?
Answer:
10 miles
Step-by-step explanation:
Use pythagorean theorem:
[tex]6^{2} +8^{2} = 10^{2}[/tex]
Lucy paid $200 for a new guitar and is paying $20 per hour for lessons. Write an expression to represent the total amount she will pay for h hours of guitar lessons (including the guitar).
Answer:
20 +200
Step-by-step explanation:
Answer:
200 + 20h = x
could be wrong so sorry
3/7 de los estudiantes en una escuela están en sexto grado. Si la escuela tiene x estudiantes, escriba una expresión para el número de estudiantes de sexto grado en términos de x.
Answer:
hard
Step-by-step explanation:
Find the surface area of the prism. Write your answer as a decimal.
Answer:
1.5cm³
Step-by-step explanation:
Surface area of a prism = bh x 6
0.5 x 0.5 = 0.25 x 6 = 1.5
Answer:
1.5 cm
Step-by-step explanation:
a=6a^2
a=6(0.5)^2
a=6(0.25)
a=1.5 cm
What is the reciprocal of 0.125
Inequality 2x > x + 7 is equivalent to ?
Answer:
x>7
Step-by-step explanation:
We do 2 steps
2x > x + 7
that means
2x - x > x - x + 7
then
x > 7
That is the answer. Hope it useful for you!
Tom has a cube a rectangle prism and a triangular prism. Which of these shapes have more than 6 vertical?
The cube and rectangular prism.
Step-by-step explanation:
The triangular prism has 5 and the other two both have 8.
None of the shapes mentioned in the question, a cube, a rectangular prism, or a triangular prism, have more than six faces. For more complex shapes like Icosahedron, they do carry more than six faces.
Explanation:The student's question is about understanding which among the shapes - a cube, a rectangular prism, and a triangular prism - has more than six faces. To answer this, we should first understand that a cube and a rectangular prism (or cuboid) both have 6 faces and a triangular prism also has 5 faces only. Hence, none of these shapes deliver more than 6 faces as specified in the question. For a three-dimensional shape to have more than 6 faces, one has to move towards more complex shapes. For example, the provided reference suggests Icosahedron, a shape with 20 faces is an example of a shape with more than six faces.
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Which angle is congruent to angle AGC
calcule o valor numérico da expressão a seguir -2/3+1-3/2.8/9
Answer:
The calculated value is "0.214"
Step-by-step explanation:
Given expression :
[tex]\bold {\frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{9}} }\\[/tex]
solution:
[tex]\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{9}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{\frac{9}{1}}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{2.8} \times \frac{1}{9}}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{1}{8.4}\\\\\Rightarrow \frac{-16.8 + 25.2- 3}{25.2}\\\\\Rightarrow \frac{5.4}{25.2}\\\\\Rightarrow 0.214[/tex]
Use the order of operations to find the value of the expression.
12÷2*3-(7-5)
O A.0
O B.6
O C.16
O D.19
Answer:
C. 16
Step-by-step explanation:
12÷2×3−(7−5) = 16.
I hope this helps!
Following the order of operations (PEMDAS/BODMAS), the expression simplifies as:- 12 ÷ 2 * 3 - (7 - 5) = 6 * 3 - 2 = 18 - 2 = 16. So, the value is 16.
To find the value of the expression 12 ÷ 2 * 3 - (7 - 5), we need to follow the order of operations, often remembered using the acronym PEMDAS (or BODMAS):
1. Parentheses (or Brackets): First, we evaluate what's inside the parentheses. In this case, (7 - 5) equals 2.
2. Exponents (or Orders): There are no exponents or orders in this expression.
3. Multiplication and Division: After dealing with parentheses, we move from left to right. So, 12 ÷ 2 * 3 is calculated as follows:
12 ÷ 2 * 3 = 6 * 3 = 18
4. Addition and Subtraction: Again, we move from left to right. Now we subtract 2 (the result from step 1) from 18 (the result from step 3):
18 - 2 = 16
So, the final answer is 16.
In summary, using the order of operations, the expression simplifies to 16. It's crucial to follow these rules to ensure that mathematical expressions are evaluated correctly, as different orders can lead to different results.
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Which line appears to have the same slope as the equation x-y=4 and has a y-intercept that is 2 units above the y-intercept of the given equation?
Answer:
B
Step-by-step explanation:
First, find the y-intercept form of the equation:
x - y = 4
x - x - y = 4 - x
-y = 4 - x
-y = -x + 4
-y/-1 = -x/-1 + 4/-1 (to get the y positive)
y = x - 4
The y-intercept is -4. This means that a y-intercept two units above 4 would be -2. Whichever line crosses the y axis at the value of -2 is the answer (line B)
hope this helps :)
What is the y-intercept when f(0)=6^0
Answer:
(0,1)
Step-by-step explanation:
Any real number to the power of 0, including 6, is equal to 1. Therefore, f(0) is 1, and the y intercept is (0,1). Hope this helps!
20 POINTS EASY ASAP
The part of Earth that is facing the sun is going through the season of winter. Describe where Earth will be positioned in the summer.
Earth will be closer to the sun in the summer because it is warmer.
Earth will be in the same location in the summer.
Earth will be on the opposite side of the sun in the summer.
Earth will be underneath the sun the following summer.
Alice had 3 1/4 pounds of flour at the beginning of the week. At the end of the week, she had 2 3/4 pounds. How much has she used?
The amount of flour alice had used at the end of the week is;
Amount = ¹/₂ pounds
Amount of flour she had at the start of the week = 3¹/₄ pounds
Amount she had at the end of the week = 2³/₄ pounds
To solve this, we need to first covert the mixed fractions to improper fractions.Thus;
3¹/₄ pounds = 13/4 pounds
2³/₄ pounds = 11/4 pounds
Thus,
amount of flour she used = amount at the start of week - amount left at end of week
Amount of flour she used = 13/4 - 11/4The denominator is the same and so our solution is to just subtract the numerator and retain the common denominator. This gives;
Amount of flour she used = ¹/₂ pounds
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Simplify the radical expression. Use absolute value symbols if needed.
√400x^2y^6
A. 20|x|y^3
B. 20|x|y^4
C. 20|xy^3|
D. 20xy^4
Answer: CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Step-by-step explanation: HOPE IT HELPS YOU
Hurry 50 points for the correct answer
Solve the equation. Identify any extraneous solutions.
x=√-3x+40
5 and –8 are solutions.
8 is a solution to the original equation. The value –5 is an extraneous solution.
5 and 8 are both extraneous solutions.
5 is a solution to the original equation. The value –8 is an extraneous solution.
Answer:
5 and –8 are solutions.
Step-by-step explanation:
8 is a solution to the original equation. The value –5 is an extraneous solution.
5 and 8 are both extraneous solutions.
5 is a solution to the original equation. The value –8 is an extraneous solution.
Answer: 5 and –8 are solutions
Step-by-step explanation:
Suppose you decided to keep flipping a coin until tails came up, at which
point you would stop. What is the probability of tails coming up on the 4th flip
of the coin? Round your answer to the nearest tenth of a percent.
A. 3.1%
B. 6.3%
C. 1.6%
D. 12.5%
Answer:
B. 6.3%
Step-by-step explanation:
For each time that the coin is tosse, there are only two possible outcomes. Either it comes up tails, or it does not. The probability of coming up tails on a toss is independent of any other toss. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Fair coin:
Equally as likely to come up heads or tails, so [tex]p = 0.5[/tex]
Probability that the first tails comes up on the 4th flip of the coin?
0 tails during the first three, which is P(X = 0) when n = 3.
Tails in the fourth, with probability 0.5. So
[tex]p = 0.5P(X = 0)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]p = 0.5P(X = 0) = 0.5*(C_{3,0}.(0.5)^{0}.(0.5)^{3}) = 0.0625[/tex]
0.0625 * 100 = 6.25%
Rounding to the nearest tenth of a percent, the correct answer is:
B. 6.3%
Answer: C 1.6 APE.X approved
plz solve this question.its urgent
Look at the attached picture
Hope it will help you...
Good luck on your assignment
~pragya
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals.
Question:
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. A random sample of 45 home theater systems has a mean price of $114.00. Assume the population standard deviation is $15.30. Construct a 90% confidence interval for the population mean.
Answer:
At the 90% confidence level, confidence interval = 110.2484 < μ < 117.7516
At the 95% confidence level, confidence interval = 109.53 < μ < 118.48
The 95% confidence interval is wider
Step-by-step explanation:
Here, we have
Sample size, n = 45
Sample mean, [tex]\bar x[/tex] = $114.00
Population standard deviation, σ = $15.30
The formula for Confidence Interval, CI is given by the following relation;
[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]
Where, z is found for the 90% confidence level as ±1.645
Plugging in the values, we have;
[tex]CI=114\pm 1.645 \times \frac{15.3}{\sqrt{45}}[/tex]
or CI: 110.2484 < μ < 117.7516
At 95% confidence level, we have our z value given as z = ±1.96
From which we have [tex]CI=114\pm 1.96 \times \frac{15.3}{\sqrt{45}}[/tex]
Hence CI: 109.53 < μ < 118.48
To find the wider interval, we subtract their minimum from the maximum as follows;
90% Confidence level: 117.7516 - 110.2484 = 7.5
95% Confidence level: 118.47503 - 109.5297 = 8.94
Therefore, the 95% confidence interval is wider.
Answer:
B. is the correct option.
With 90% the population mean price is
in lies in (127.01,134.99). With 95% confidence, it can be said that the population mean price lies in ( 126.24,135.76)
Therefore, the 95% confidence interval is wider than 90%.
The calculation is attached
Which correctly compares 4.06 and 4.6?
A) 4.6 < 4.06
B) 4.6 = 4.06
C) 4.06 > 4.6
D) 4.06 < 4.6
Answer:
B is your answer
Step-by-step explanation:
Final answer:
The correct comparison is that 4.06 is less than 4.6 because when looking at the decimal parts, '0.6' (4.6) is greater than '0.06' (4.06).
Explanation:
To compare the numbers 4.06 and 4.6, we need to look at the decimal parts, since the whole number part (4) is the same for both. In the number 4.06, the decimal part is '06', which is actually '0.06' when read as a fraction of the whole number. On the other hand, 4.6 has a decimal part of '6', which is '0.6' as a fraction of the whole number. When comparing '0.6' and '0.06', it is clear that '0.6' is larger because '6' tenths is greater than '6' hundredths.
Therefore, the correct comparison between 4.06 and 4.6 is 4.06 < 4.6, which corresponds to option D in the question.
A recipe calls for 1 1/4 cups of sugar for every 3 cups of flour. How much sugar would be needed for 5 cups of flour?
Answer:
[tex]2\frac{1}{12}[/tex] cups of sugar required for 5 cups of flour
Step-by-step explanation:
Number of cups of sugar required for 3 cups of flour =[tex]1 \frac{1}{4}[/tex]
Number of cups of sugar required for 3 cups of flour = [tex]\frac{5}{4}[/tex]
Number of cups of sugar required for 1 cup of flour [tex]=\frac{\frac{5}{4}}{3}[/tex]
Number of cups of sugar required for 5 cups of flour =[tex]\frac{\frac{5}{4}}{3} \times 5[/tex]
Number of cups of sugar required for 5 cups of flour =[tex]\frac{25}{12}[/tex]
Number of cups of sugar required for 5 cups of flour =[tex]2\frac{1}{12}[/tex]
Hence [tex]2\frac{1}{12}[/tex] cups of sugar required for 5 cups of flour
Max travles to see his brother 's family by car. He drives 216 miles in 4 hours what is his rate in miles per hour use a double nuber line to show your work
Answer: 54 miles per hour
Step-by-step explanation:
Max travles to see his brother 's family by car and he drives 216 miles in 4 hours. To calculate his rate in miles per hour, we divide the amount of distance he travelled by the number of hours used. This will be:
Distance= 216 miles
Time taken= 4 hours
Speed = Distance travelled/Time taken
= 216/4
= 54 miles per hour
After simplifying the following rational expression, what is the leading coefficient in the NUMERATOR? [Recall: writing in Standard Form]
Answer:
x
Step-by-step explanation:
We are required to simplify the rational expression:
[tex]\dfrac{4}{x^2+4x-5} -\dfrac{5}{x^2-25}[/tex]
First, we factorize the denominators where possible
[tex]x^2+4x-5=x^2+5x-x-5=x(x+5)-1(x+5)=(x-1)(x+5)\\x^2-25=x^2-5^2 \\$Applying difference of two squares\\x^2-5^2=(x-5)(x+5)[/tex]
Therefore, our rational expression becomes:
[tex]\dfrac{4}{(x-1)(x+5)} -\dfrac{5}{(x-5)(x+5)}\\$Taking LCM\\=\dfrac{4(x-5)-5(x-1)}{(x-1)(x-5)(x+5)}\\=\dfrac{4x-20-5x+5}{(x-1)(x-5)(x+5)}\\=\dfrac{-x-15}{(x-1)(x-5)(x+5)}\\$Factoring out minus in the numerator and -(x-5)=(5-x)\ in the denominator\\=\dfrac{x+15}{(x-1)(5-x)(x+5)}[/tex]
Therefore, the leading coefficient of the numerator is x.
Solve tan^2 (x) + 3 = 0 for 0 ≦ x < 360∘
Express your answer in degrees. Select the appropriate response
A) 360
B) 180
C) 60
D) None of the above
Help please!!!
Answer:
d) none of the above
Step-by-step explanation:
correct me if wrong .
Final answer:
The equation tan^2(x) + 3 = 0 has no real solutions within the given range.
Explanation:
To solve the equation tan^2(x) + 3 = 0, we need to isolate the term with the tangent squared. Subtracting 3 from both sides gives us tan^2(x) = -3. Since the tangent function is positive for angles between 0° and 360°, it is not possible for the square of the tangent to be negative. Therefore, there are no real solutions to this equation, given the specified range of 0 ≦ x < 360°. So, the correct answer is (D) None of the above.
Which algebraic expression has like terms?
9 n cubed minus 2 n + 3 minus 4 n squared
7 n cubed + 3 n minus 3 minus 6 n squared
7 n cubed + 4 n minus 3 n cubed minus 5 n squared
6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared
Answer:
The answer is c I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I took test and got 100%
What is 10.9544 rounded to the nearest tenth
:D
Answer:
10.95
Step-by-step explanation:
anything under 4 rounds down and anything over 4 rounds up. so your answer would be 10.95
10.9544 rounded to the nearest tenth would be 11.0. When rounding to the nearest anything, remember to look at the number to the right of it. If it is greater or equal to five, round up. If the number is less than five, round down. In this situation, the number to the right of "9" (the position of the tenth) is five, which means we should round up, which would equal 11.
I hope this helped -- if it did, please thank, rate, and mark as brainliest! If you have any more questions or concerns, feel free to ask! Thank you, stay safe, and have a great rest of your day/quarantine! (i know it's hard, but we're almost through. we've got it!)
The diameter of the base of a come measures 8 units. The height of the cone is 6 units. What is the volume of the cone in terms of pie
Answer:
Step-by-step explanation:
diameter = 8 units
r = 8/2 = 4 units
h = 6 units
[tex]Volume=\frac{1}{3}\pi r^{2}h\\\\=\frac{1}{3}*\pi*4*4*6\\\\[/tex]
= π*4*4*2
=32π cubic units
Which volume could belong to a cube with a side length that is an integer? Recall the formula Cube volume = s cubed. 18 cubic inches 36 cubic inches 64 cubic inches 100 cubic inches
We have been given 4 choices. We are asked to choose the volume that could belong to a cube with a side length that is an integer.
We know that volume of a cube is cube of each side length.
To solve our given problem, we will take cube root of each given value. The cube root of which value will be an integer that will be our correct choice.
A. [tex]s^3=18[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{18}[/tex]
[tex]s=2.62074[/tex]
Since cube root of 18 is not an integer, therefore, 18 is not a correct choice.
B. [tex]s^3=36[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{36}[/tex]
[tex]s=3.301927[/tex]
Since cube root of 36 is not an integer, therefore, 36 is not a correct choice.
C. [tex]s^3=64[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{64}[/tex]
[tex]s=4[/tex]
Since cube root of 64 is 4 and 4 is an integer, therefore, 64 is the correct choice.
D. [tex]s^3=100[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{100}[/tex]
[tex]s=4.641588[/tex]
Since cube root of 100 is not an integer, therefore, 100 is not a correct choice.
Answer:
c
Step-by-step explanation:
have a nice day :)
What is the measure of angle BCD?
A. 25º
B. 40º
C. 140º
D. 155º
Answer:
c.140
Step-by-step explanation:
Answer:
C. 140 degrees
Step-by-step explanation:
what is the vertex for f(x)=-x^2
Answer:
(0,0)
Step-by-step explanation:
Answer:
(0,0)
Step-by-step explanation:
The graph is not shifted to the right, left, up, or down, so the vertex is still the origin. Even though the equation is negative, all this means is it is reflected across the x-axis. So, the vertex is still at the origin.