Answer:
- | -5 |
Step-by-step explanation:
- | -5 | is basically saying minus -5
and -5 minus the negative is a positive
And when it asks for the greatest value, positive numbers are always greater.
:)
The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It costs the school $300 to pay the referees for the game. The school wants to make profit on the game, and 75 people attended. This is represented by the system:
5x +3y > 300
x+y = 75
which of the following points is a solution to the system?
(30,45)
(40,35)
(20,15)
(25,70)
Answer:
(40,35)
Step-by-step explanation:
Well we can immediacy eliminate 2 options for ow becuase if you add them up they don’t equal 75 and in the equation it asked for x+y=75.
Now we just test out each x and y possibility
We know 5x+3 > 300
So lets try the first one
30 is x
45 is Y
5*30=150
45*3=135
Now if you add them
285
285 is not greater than 300 so thats wrong
SO B is correct
But lets check just in case
5*40=200
3*35= 105
305 IS greater than 300
305 > 300
SO B is correct
The point (40,35)
A rectangular prism has a length of 8in., a width of 4in., and a height of 2 1/4in. The prism is filled with cubes that have edge lengths of 1/4 in. How many cubes are needed to fill the rectangular prism?
We need 4608 cubes to fill the rectangular prism.
We have,
The rectangular prism has a volume of:
Volume = length x width x height
Volume = 8 in. x 4 in. x 2 1/4 in.
Volume = 72 in³
Each cube has a volume of:
Volume of cube = edge length³
Volume of cube = (1/4 in.)³
Volume of cube = 1/64 in³
To find the number of cubes needed to fill the rectangular prism, we can divide the volume of the prism by the volume of each cube:
Number of cubes = Volume of prism / Volume of a cube
Number of cubes = 72 in³ / (1/64 in³)
Number of cubes = 72 in³ x 64 / 1
Number of cubes = 4608 cubes
Therefore,
We need 4608 cubes to fill the rectangular prism.
Learn more about Prism here:
https://brainly.com/question/12649592
#SPJ1
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
for more such question on graph visit
https://brainly.com/question/19040584
#SPJ8
Question 4
You are buying snacks for an after school club, You buy a total of 34
items for a total of $28. The candy bars you bought were $1.00 each
and the bags of chips were $0.75 each.
How many candy bars and how many bags of chips did you buy?
You bought
candy bars and
bags of chips for the after school club.
Answer:you bought 10 candy bars and 24 bags of chips
Step-by-step explanation:
list the first 5 multiples of 2 what is the answer
Answer:
4, 8, 16 , 32 , 64
Step-by-step explanation:
hope this helps !
Answer:
The first five multiples of 2 are 2, 4, 6,8,10
Step-by-step explanation:
I hope it helps ❤❤Chloe runs 2 miles and burns 188 calories. How many miles does she need to run if she wants to burn 564 calories ?
A. 4 miles
B. 6 miles
C. 8 miles
Answer:
B. 6 Miles
Step-by-step explanation:
Given:
2 Miles = Burn 188
Solution:
If 2 Miles = Burn 188
Then let see what 1 miles = burn ?
So 188/2 = 94
Then 94x4 = 376
94x6 = 564
94x8 =752
Therefore B. 6 miles is the correct answer.
Suppose the COMBINED area is known to be 0.10416, assume there is equal area on each side. Determine the corresponding Z-scores.A) z=±1.62 B) z=±1.58 C) z=±1.72 D) z=±1.66 E) z=±1.69 F) z=±1.49 G) None of These
An combined area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.
Every normally distributed random variable has a slightly different distribution shape, the only way to find areas using a table is to standardize the variable - transform our variable so it has a mean of 0 and a standard deviation of 1. How do we do that? Use the z-score!
Z = ( x - μ)/σ
if the random variable X has a mean μ and standard deviation σ,
then transforming X using the z-score creates a random variable with mean 0 and standard deviation 1!
With that in mind, we just need to learn how to find areas under the standard normal curve, which can then be applied to any normally distributed random variable.
An area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.
To know more about z-score visit brainly.com/question/15016913
#SPJ4
Every normally distributed random variable has a slightly different distribution shape, the only way to find areas using a table is to standardize the variable - transform our variable so it has a mean of 0 and a standard deviation of 1. How do we do that? Use the z-score!
Z = ( x - μ)/σ
if the random variable X has a mean μ and standard deviation σ,
An area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.
How much would you have to deposit today to accumulate the SAME AMOUNT OF MONEY that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn?
Answer:
7606.62
Step-by-step explanation:
Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.
\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)
Now just equate this to a time 0 payment at the same rate
\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)
As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.
what is the new equation of the quadratic function
Answer:
cant really see it
Step-by-step explanation:
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Select two options. The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill. The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill. The solution x = 60 represents the total food bill. The solution x = 60 represents each friend’s share of the food bill and tip. The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
1) The scenario is represented by the equation 1/8(x+16)=76/8, where x is the food bill.
2) The total food bill is represented by the equation x=60.
Both of these responses are correct.
Step-by-step instructions:
Because there are eight buddies in the group, the total money spent by them is $76 (including the $16 tip).
Our equation can be as follows if x is the food bill:
76/8 = (x+16)/8
Solving the Problem
9.5 = (x+16)/8
9.5*8 Equals x+16
x=76 -16 x=76 -16 x=76 -16 x=
60 = x
The cost of food is x=60.
Is F={56,777,1,2} a subset of G={2,78,64,333,1,7,56,77,900}?
Answer:
No
Step-by-step explanation:
F is not a subset of G because not every element in F lives in G. Even through 56, 1 and 2, all live in G, and are elements of F, 777 is an element of F but is not an element of G.
(If there is a typo, and every element in F is in fact an element in G, then the answer would be yes, F is a subset of G)
We can see that element 777 is not in set G. Hence the set F is not a subset of set G.
A set is a collection of elements not necessarily arranged in a particular pattern.For a set A to be a subset of another set B, all elements of the set must be found in set B.For the given set F={56,777,1,2}, we can see that the element 777 is not in the set G. Hence the set F is not a subset of set G.
Learn more here: https://brainly.com/question/6948738
A rectangle has a length of √ 72 meters and a width of √ 18 meters. Find its perimeter in exact and approximate forms, and then find its area.
The exact perimeter is _________ meters.
This is approximately ___________ meters. (Round your answer to the nearest tenth)
The area of the rectangle is ____________ square meters.
Answer:
The exact perimeter is \(18\sqrt{2}\) meters.
This is approximately 25.5 meters (nearest tenth).
The area of the rectangle is 36 square meters.
Step-by-step explanation:
Area of a rectangle = width × length
Perimeter of a rectangle = (2 × width) + (2 × length)
Given:
length = \(\sqrt{72}\) mwidth = \(\sqrt{18}\) mPerimeter
\(\textsf{Perimeter}=2 \sqrt{18} +2\sqrt{72}\)
\(=2 \sqrt{9 \cdot 2} +2\sqrt{36 \cdot 2}\)
\(=2 \sqrt{9} \sqrt{2}+2\sqrt{36}\sqrt{2}\)
\(=2 \cdot 3 \sqrt{2}+2\cdot 6\sqrt{2}\)
\(=6 \sqrt{2}+12\sqrt{2}\)
\(=18\sqrt{2} \textsf{ m}\)
The exact perimeter is \(18\sqrt{2}\) meters.
This is approximately 25.5 meters (nearest tenth).
Area
\(\textsf{Area}=\sqrt{18} \times \sqrt{72}\)
\(=\sqrt{9 \cdot 2} \times \sqrt{36 \cdot 2}\)
\(=3\sqrt{2} \times 6\sqrt{ 2}\)
\(=18\sqrt{2}\sqrt{ 2}\)
\(=18 \cdot 2\)
\(=36 \textsf{ m}^2\)
The area of the rectangle is 36 square meters.
Simplify 3\(\sqrt\)2-√2
Answer: (√2)(2) = 2√2
Step-by-step explanation:
To simplify the expression 3√2 - √2, you can factor out the common term √2:
3√2 - √2 = (√2)(3 - 1)
Now, subtract the numbers in parentheses:
(3 - 1) = 2
(√2)(2) = 2√2
what is (1/2 + isqrt3/2)^5?
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
m∠GHI=6x° and m∠LMN=9x°. If ∠GHI and ∠LMN are supplementary, what is the measure of each angle?
(A) m∠GHI = 12°; m∠LMN = 168°
(B) m∠GHI = 72°; m∠LMN = 108°
(C) m∠GHI = 12°; m∠LMN = 78°
(D) m∠GHI = 72°; m∠LMN = 18°
Here, m∠GHI=72° and m∠LMN=108°. Therefore, option B is the correct answer.
Given that, m∠GHI=6x° and m∠LMN=9x°.
We need to find the measure of each angle.
What are supplementary angles?Supplementary angles are thus a set of angles that complete each other to form 180°. Supplementary angles are those angles that sum up to 180°.
Now, 6x°+9x°=180°
⇒15x°=180°
⇒x°=12°
Thus, m∠GHI=6×12°=72° and m∠LMN=9×12°=108°.
Therefore, option B is the correct answer.
To learn more about the supplementary angles visit:
https://brainly.com/question/17000619.
#SPJ1
21 regular sodas and 49 diet sodas. What percentage of the sodas served were regular?
Answer:
30% of the sodas were regular sodas
Step-by-step explanation:
Add 21 and 49 to get the total number of sodas and 21+49=70. To get the percentage, divide 21 by 70 (21÷70) is 0.3 or 30%.
To check, do 30% (or 0.3) • 70 and you will get 21.
Precalc experts! I need your help!
Answer:
\(f(x)\to 1\)
Step-by-step explanation:
The function approaches its horizontal asymptote in both directions as the magnitude of x gets large. The limit is y = 1.
answer the following questions in the picture
a. The chart is prepared below.
b. At the end of 4 years, Ross still owes his parents $1,576.92.
How to calculate interest ?To solve this problem, we need to calculate the balance of Ross's loan at the end of each year.
The balance for each year can be calculated by subtracting the yearly payment from the balance at the beginning of the year and adding the interest earned for the year.
The interest for each year is calculated by multiplying the balance at the beginning of the year by the annual interest rate of 3.2%.
Here are the steps for calculating the balance for each year:
Year 1:
Beginning balance = $2,500.00
Interest for the year = $2,500.00 x 0.032 = $80.00
Ending balance = $2,500.00 + $80.00 - $300.00 = $2,280.00
Year 2:
Beginning balance = $2,280.00
Interest for the year = $2,280.00 x 0.032 = $72.96
Ending balance = $2,280.00 + $72.96 - $300.00 = $2,052.96
Year 3:
Beginning balance = $2,052.96
Interest for the year = $2,052.96 x 0.032 = $65.76
Ending balance = $2,052.96 + $65.76 - $300.00 = $1,818.72
Year 4:
Beginning balance = $1,818.72
Interest for the year = $1,818.72 x 0.032 = $58.20
Ending balance = $1,818.72 + $58.20 - $300.00 = $1,576.92
Here's a table that shows the details:
Year ,principal ,Interest rate, interest, Payment ,annual owing
1 $2,500.00 $80.00 $300.00 $2,280.00
2 $2,280.00 $72.96 $300.00 $2,052.96
3 $2,052.96 $65.76 $300.00 $1,818.72
4 $1,818.72 $58.20 $300.00 $1,576.92
b. At the end of 4 years, Ross still owes his parents $1,576.92.
To know more about interest visit:
https://brainly.com/question/30393144
#SPJ1
how many groups of 1/2 are in 8
i think 16? 1/2+1/2=1 so 8*2=16
I need help with 7 and 4 and 9 also 10
I will give the most higher points I got
How do you write this expression 6(x-5) in words
Answer:
(Most common) Function evaluated at \(x\) is equal to six times \(x\) minus five
(Alternative) Function in terms of \(x\) is equal to the product of six and \(x\) minus five
Step-by-step explanation:
Let \(f(x) = 6\cdot (x-5)\), there are several form to represent this expression in mathematical term. One of the most common forms is the following:
Function evaluated at \(x\) is equal to six times \(x\) minus five
Another form could be this:
Function in terms of \(x\) is equal to the product of six and \(x\) minus five
The probability of a tornado occurring in a subdivision in Tornado Alley in the United States has been estimated to be 0.2 for one occurrence, 0.03 for two occurrences, and 0.001 for three occurrences during the next 50 years. Assume that the chance of four or more occurrences is negligible during the next 50 years. If a tornado hits a structure, the probability that it will suffer damage is 70%. Assume that the damage from multiple tornadoes is statistically independent. What is the probability that a structure will not suffer any damage from tornadoes in the next 50 years
Answer:
Probability is 0.831727
Step-by-step explanation:
The probability can be calculated as below
There are multiple scenarios
Scanerio 1
0 occurance & No damage = 1 - 0.2 - 0.03 - 0.001 = 0.769
Scanerio 2
1 occurance & No damage = 0.2 x ( 1 - 0.7 ) = 0.06
Scanerio 3
2 occurance & No damage = 0.03 x ( 1 - 0.7 )^2 = 0.0027
Scanerio 4
3 occurance & No damage = 0.001 x ( 1 - 0.7 )^3 = 0.000027
P(structure will not suffer any damage) = Scanerio 1 + Scanerio 2 + Scanerio 3 + Scanerio 4 = 0.769 + 0.06 + 0.0027 + 0.000027 = 0.831727
Simplify the expression so there is only one positive power for the base, -5.
Answer:
c
Step-by-step explanation:
it's a property of powers, when the base is the same (-5) , you need to
sum the powers when both terms are multiplyng
subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)
What is the slope of a line with the equation y-2=-3/4(x+5)?
Answer:
Gradient: m = -3/4
Step-by-step explanation:
Please view the PDF attached for full step by step explanation
In each diagram, line f is parallel to line g, and line t intersects lines f and g
In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.
Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.
Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.
Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.
Alternate interior angles are congruent, as well as alternate exterior angles.
By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.
It is important to measure angles systematically and compare them to find congruent or equal measures.
For more such questions on geometric properties
https://brainly.com/question/23949211
#SPJ8
Calculator
What is the volume of this figure?
Enter your answer in the box.
ft³
8 ft
25 ft
4 ft
20 ft
5 ft
The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.
What is the volume of a cuboid?The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.
Let us split the given figure into two cuboids
The dimensions of one cuboid = 20 ft*25 ft *5ftThe dimension of the other cuboid = 4 ft*25ft * 8ftSo, the volume of the figure will be the sum of the volume of both the cuboids.
So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft
= 20 x 25 x 5
=2500 ft³.
The volume of the cuboid with dimensions 4 ft x 25ft x 8ft
=4 x 25x 8
=800 ft³.
So, the volume of the figure = 2500 + 800 =3300 ft³.
Learn about cuboids here: https://brainly.com/question/26403859
#SPJ1
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
for more such questions on sampling method
https://brainly.com/question/13219833
#SPJ8
what is the mean of the absolute deviation. 8 4 3 3 3 3
Answer:
1.3 repeating or 4/3
Step-by-step explanation:
Sam can ride his bike 4.2 kilometers in 6 minutes. Amanda can ride her bike 3.2 kilometers in 8 minutes. Jesse can ride his bike 3.0 kilometers in 5 minutes.
Which rider might go farther in 1 minute?
Answer:
jesse or sam i think its sam by a little bit.
Step-by-step explanation:
Answer:
Sam
Step-by-step explanation:
Find all of their speeds to find how far they will go in 1 minute, by dividing the number of kilometers by the number of minutes:
Sam
4.2/6
= 0.7 km/min
Amanda
3.2/8
= 0.4 km/min
Jesse
3/5
= 0.6 km/min
Since 0.7 is the greatest number, that means Sam is the rider that will go the farthest in one minute.
what is the equation for 3-3
I believe it will be y=3x−12 if I'm not mistaken?