Answer:
I think it is A or B Hope this helps
Step-by-step explanation:
Answer:
The answer is C.Subtraction im a math teacher so if right mark brainliest
Step-by-step explanation:
Find the range of values of x such that the quadratic function f(x)=(x+5)^2-16 is positive.
Answer:
f(x)=(x−5)2−16
Set the polynomial equal to y
to find the properties of the parabola.
y=(x−5)2−16
Use the vertex form, y=a(x−h)2+k
, to determine the values of a, h, and k
.
a=1
h=5
k=−16
Since the value of a
is positive, the parabola opens up.
Opens Up
Find the vertex (h,k)
.
(5,−16)
Find p
, the distance from the vertex to the focus.
Tap for more steps...
14
Find the focus.
Tap for more steps...
(5,−634)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=5
Answer:
x > -1 or x < -9
Step-by-step explanation:
(x + 5)^2 must be > 16 for f(x) to be positive.
(x + 5)^2 > 16
Taking square roots:-
x + 5 > 4
x > -1 (answer)
or x + 5 < -4
x < -9 (answer)
Mary had 74 dollars to spend on 7 books after buying them she had 11 dollars how much did each book cost
Answer: Each book costs $9
Step-by-step explanation:
74-11 = 63
63 divided by 7 = 9
That's the answer
Answer: $9
Step-by-step explanation: 74 - 11 = 63. 63 divided by 7 equals 9. So each book cost $9
Susie is visiting China from the U.S. One day she stopped by a market and found a stall selling tomatoes for 15.65 yuan per kilogram. If 1 yuan was worth 0.14 dollars that day, how much did the tomatoes cost in dollars per pound? Fill in the first two blanks with two of the ratios. Then write your answer rounded to the nearest hundredth in the last blank.
Answer:
1st blank is 0,14 dollars/1yuan, and 2nd blank is 1kg/2.2lb
Step-by-step explanation:
The tomatoes at the Chinese market would cost approximately $0.99 per pound, following the currency conversion rate from yuan to dollars and the weights conversion rate from kilograms to pounds.
Explanation:To find the cost in dollars per pound from yuan per kilogram, we should use both the conversion rate from yuan to dollars and the conversion rate from kilograms to pounds. In this case, we are given that 1 yuan is worth 0.14 dollars and that 1 kilogram is approximately 2.20462 pounds. Therefore, the cost in yuans per pound would be 15.65 yuan/kg divided by 2.20462 lbs/kg, which equals approximately 7.09 yuan/pound. After converting it to dollars, it'd be approximately 7.09 yuan/pound times 0.14 dollars/yuan which gives us approximately $0.99 per pound.
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Solve the equation 22=2p -2
Answer:
p = 12
Step-by-step explanation:
add 2 to both sides of the equation
24 = 2p ( divide both sides by 2 )
p = 12
Answer: p=2
Step-by-step explanation:
22=2p-2
You add two to 22 which will give you 24
24=2p
You want to divide the 2 to get the letter by itself
12=2
NEED A FAST ANSWER
The graph shows the value of a car at different years after Gianna purchased it.
Which answer is the best estimate for the average rate of change between Year 4 and Year 9?
−$900/year
−$450/year
−$330/year
−$180/year
Answer:
Step-by-step explanation:
2.) −$180/year
The average rate of change between Year 4 and Year 9 is -$180 per year.
A linear equation can be used to represent a non linear line. A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the value of car after x years.
From the graph, at year 4, y = 2300, hence it is (4, 2300). At year 9, y = 1400, hence it is (9, 1400). Therefore:
[tex]Average\ rate\ of\ change=\frac{1400-2300}{9-4}= - 180[/tex]
Hence the average rate of change between Year 4 and Year 9 is -$180 per year.
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The ratio of boys to girls in a tennis camp is 3:5. If there are 64 campers, how many are girls?
Answer:
There are 40 girls and 24 boys in the camp
Step-by-step explanation:
let [tex]b[/tex] be the number of boys and [tex]g[/tex] be the number of girls in the camp, then when know that
[tex]\dfrac{b}{g} = \dfrac{3}{5}[/tex] (this says that the ratio of boys to girls is 3: 5)
And since there are a total of 64 campers, we have
[tex]b+g =64[/tex] (this says that the total number of boys an girls must 64)
Thus, we have two equations and two unknowns:
[tex](1). \: \: \dfrac{b}{g} = \dfrac{3}{5}[/tex]
[tex](2). \: \:b+g =64[/tex]
and we solve this system by first solving for [tex]b[/tex] in equation (1):
[tex]b= \dfrac{3}{5}g,[/tex]
and substituting it into equation (2):
[tex]\dfrac{3}{5}g+g=64[/tex]
solving for [tex]g[/tex] we get:
[tex]\boxed{g=40}[/tex].
Putting [tex]g=40[/tex] into equation (2), we solve for [tex]b[/tex] to get:
[tex]b+40=64[/tex]
[tex]\boxed{b=24}[/tex]
Thus, there are 40 girls and 24 boys in the camp.
Lisa descended 120 feet into a cave. She then climbed up 56 feet. If her starting point was 38 feet below sea level at the mouth of the cave, what is Lisa's elevation relative to sea level now?
A) −102 feet
B) −94 feet
C) −82 feet
D) −64 feet
A) -102 feet
She started at -38 feet. She then went -120 feet, so -38-120= -158. She then went +56 feet. -158+56=-102.
Answer:
The answer is A. -102
Step-by-step explanation:
If she started at 38 feet below sea level, we would describe it as -38. If she descended 120 feet deeper, than we subtract that from -38.
-38-120=-158
She is now 158 feet below sea level, or -158.
Then, if she climbs up 56 feet, we would add that to -158.
-158+56=-102
Soft drinks cost $1.89 and refills cost $0.25 each. With $3.80 to spend on the soft drink and refills, what is the maximum number of refills that you can get? refills
The length of a rectangle is (x+5) inches long, and the width is 3 2/5 inches. if the area is 51 square inches. Write and solve an equation to find the length of the rectangle.
Answer:
15
Step-by-step explanation:
l x w = area
(x + 5) (3.4) = 51
x+5=15
x=10
plug back into the equation for length
(10+5) = 15
Order the numbers least to greatest 73/100, 2/5, 1/10
Final answer:
To order the given fractions from least to greatest: 73/100, 2/5, 1/10, convert them to decimals and arrange them in increasing order: 0.1, 0.4, 0.73.
Explanation:
To order the numbers least to greatest, we compare their values. Let's convert these fractions to decimals first:
73/100 = 0.732/5 = 0.41/10 = 0.1Now that we have the decimals, we can arrange them from least to greatest:
0.10.40.73what is a piecewise function
Answer:
is a function that is defined on a sequence of intervals
Step-by-step explanation:
next time please just search it up on google.
Answer:
A piecewise function has different rules for different parts of its domain. The following situation can be modeled by a piecewise function.
Step-by-step explanation:
is (1,9) a solution to the inequality y>6x+3
Put the coordinates of the point (1, 9) to the inequality y > 6x + 3:
9 > 6(1) + 3
9 > 6 + 3
9 > 9 FALSE
Answer: It's not a solution.find two irrational numbers between 0.3 and 0.7?
Answer:
0.3101001000......
0.410100100010000....
Step-by-step explanation:
To find irrational number between any two numbers, we first need to understand what a rational and irrational number is.
Rational number is any number that can be expressed in fraction of form [tex]p/q[/tex]. Since q can be 1, all numbers that terminate are rational numbers. Example: 1, 12.34, 123.66663
Irrational number on the other hand can't be expressed as a fraction and do not terminate. Also, there is no pattern in numbers i.e. there is no repetition in numbers after the decimal point.
For example: 3.44444..... can be expressed as rational number 3.45.
But 3.414114111.... is an irrational number as there no pattern observed. Also,it does not terminate.
We can find infinite number of irrational numbers in between two rational numbers.
Irrational numbers in between 0.3 and 0.7:
0.3101001000......
0.410100100010000....
0.51010010001.......
0.6101001000....
There are many others. We can choose any two as answers.
ll the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. a How many hours would this job take if the number of workers decreased by factor of 2?
Answer:
44 hours
Step-by-step explanation:
Decreasing the people by a factor of 2 means we have 3 people
The job takes 6* 22 = 132 people hours
When we decrease the people, it will take more hours
132 people hours = 3 people * t hours
Divide each side by 3
132/3 = 3t/3
44 = t
It will take 44 hours
A fruit stand has to decide what to charge for their produce. They decide to charge $5.30 for 1 apple and 1 orange. They also plan to charge $14 for 2 apples and 2 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?
Answer:
We cannot find a solution to the system of equations.
a+b = 5.30
2a + 2b = 14
Step-by-step explanation:
Let a = the price of an apple
let b = price of an orange
a+b = 5.30
2a + 2b = 14
Multiply the first equation by 2
2a+ 2b = 10.60
Subtract the second equation
2a+2b = 10.60
-2a+2b = 14
---------------------------
0 = -3.40
This is never true so there is no solution
Answer:
Can we find a unique price for an apple and an orange?
Choose 1 answer:
CORRECT (SELECTED)
No; the system has no solution.
Step-by-step explanation:
See attached!
evaluate the expression a + b for a=24 and b=13
Answer:
37
Step-by-step explanation:
a + b for a=24 and b=13
plug in
24 + 13
= 37
Answer:
a + b = 37
Step-by-step explanation:
substitute the values a = 24 and b = 13 into the expression
a + b = 24 + 13 = 37
Kyle got in the elevator on the 7th floor. He rode up 2 floors and then down 5 floors. Which expression represents the floor Kyle is on now?
Answer:
7+2-5=f
Step-by-step explanation:
If he starts on the 7 floor, then he is seven above ground, and that would clarify as a positive number. He then goes up 2 floors, which means we would add 2 to the original number. Going down five would mean we would subtract, because he is getting closer to zero, which is ground level. F represents the floor he is on now.
Hope this helps! (Brainliest please!)
answer
4th floor
Step-by-step explanation:
7+2-5=4
George does not like the fact that his neighborhood makes it mandatory to pay a yearly fee to use the pool. He conducts a survey of all the neighborhood families to help support his case that the yearly fee should be voluntary. The survey asks questions about pool usage and financial statistics of the families. Is this a valid survey? Why or why not?
A) No, George should only survey families that support his view.
B) No, George should attach information about why the fee should be voluntary.
C) Yes, since George is trying to convince the board to change the requirement he needs results to support his opinion.
D) Yes, since George is surveying all of the families in his neighborhood he is getting the opinions of the entire population.
Answer:
I would pick the letter C
Step-by-step explanation:
Me. Ellis is a teacher who tutors after school. Of the students he tutors, 30% need help in computer science and 70% need assistance in math. Of the students who need help, 40% are enrolled in Mr. Ellis's class during the school day. Of the students that need help in math, 25% are enrolled in his class during the day. What percent of the after school students are enrolled in Mr. Ellis's classes?
Answer: There are 82.5% after school students who are enrolled in his classes.
Step-by-step explanation:
Let the total number of students be 100
Percentage of students who need help in computer science = 30%
So, number of students who need help in computer science = 30
Percentage of students who need help in maths = 70%
So, number of students who need assistance in maths = 70
Of the students who need help,
40% are enrolled in Mr. Ellis's class during the school day,
So, it means 60% are enrolled in his class after the school day.
Number of students who are enrolled in his class after the school day = 60
Number of students who need help in Maths is given by
[tex]\frac{70}{100}\times 60=42[/tex]
Of the students that need help in maths, percent of students are enrolled in his class during the day = 25%
So, number of students who need help in maths and enrolled in his class after school hours
[tex]\frac{75}{100}\times 42=31.5[/tex]
Number of students who need help in computer science and enrolled in his class after school hours
[tex]\frac{30}{100}\times 60=18[/tex]
Therefore, there are [tex]31.5+18=49.5[/tex] students who joined his class after school hours,
Percentage of the after students who are enrolled in Mr. Ellis's classes is given by
[tex]\frac{49.5}{60}\times 100=82.5\%[/tex]
Hence, there are 82.5% after school students who are enrolled in his classes.
29.5% of the after-school students are enrolled in Mr. Ellis's classes.
1. Calculate the percentage of students who need help in computer science and are enrolled in his class:
- 30% of the students need help in computer science.
- 40% of those students are enrolled in his class during the school day.
[tex]\[ \text{Percentage of students needing help in computer science and enrolled in his class} = 30\% \times 40\% = 0.3 \times 0.4 = 0.12 = 12\% \][/tex]
2. Calculate the percentage of students who need help in math and are enrolled in his class:
- 70% of the students need help in math.
- 25% of those students are enrolled in his class during the school day.
[tex]\[ \text{Percentage of students needing help in math and enrolled in his class} = 70\% \times 25\% = 0.7 \times 0.25 = 0.175 = 17.5\% \][/tex]
3. Combine the two percentages to find the total percentage of after-school students enrolled in his classes:
- 12% of the total students are those who need help in computer science and are in his class.
- 17.5% of the total students are those who need help in math and are in his class.
Thus, the total percentage of after-school students enrolled in Mr. Ellis's classes is:
[tex]\[12\% + 17.5\% = 29.5\%\][/tex]
You have to order fencing for a 25-acre, rectangular field. One side of the field measures exactly ¼ mile. How many yards of fencing will you need to enclose the field completely?
Answer:
1430 yards
Step-by-step explanation:
Note that [tex]1\text{ acre}=\dfrac{1}{640}\text{ square mile}.[/tex] Then
[tex]25\text{ acres}=\dfrac{25}{640}\text{ square mile}.[/tex]
If one side of the restangular field measures exactly [tex]\dfrac{1}{4}[/tex] mile, then let the second side be x miles and
[tex]\dfrac{25}{640}=\dfrac{1}{4}\cdot x,\\ \\x=\dfrac{\frac{25}{640}}{\frac{1}{4}}=\dfrac{25}{640}\cdot \dfrac{4}{1}=\dfrac{25}{160}=\dfrac{5}{32}\ mile.[/tex]
The perimeter of the rectangle will be
[tex]P=2\cdot \dfrac{1}{4}+2\cdot \dfrac{5}{32}=\dfrac{2\cdot 8+10}{32}=\dfrac{26}{32}=\dfrac{13}{16}\ mile.[/tex]
Since [tex]1\ mile=1760\ yards,[/tex] then [tex]\dfrac{13}{16}\ mile=\dfrac{13}{16}\cdot 1760=1430\ yards.[/tex]
To fence a 25-acre rectangular field with one side 1430 yards of fencing is needed.
To order fencing for a 25-acre, rectangular field, with one side measuring exactly 1/4 mile, we first need to determine the field's dimensions. Since a mile equals 1760 yards, one side of the field is
1/4 x 1760 = 440 yards.
Now, to find the other side, we use the area formula (Area = length x width).
The field is 25 acres, and 1 acre equals 4840 square yards. So the field has an area of 25 x 4840 square yards.
Let's denote the unknown side as 'width':
= 25 x 4840 = 440 x width
Width = 25 x 4840/ 440
= 275 yards
Now that we have both the length and the width, we can find the perimeter, which is the total length of fencing needed. The perimeter of a rectangle is 2 x (length + width).
Perimeter = 2 x (440 + 275) = 2 x 715
= 1430 yards
Therefore, to enclose the field completely, you would need 1430 yards of fencing.
Solve using elimination
2x+3y=12
-4x-6y=-24
[tex]\left\{\begin{array}{ccc}2x+3y=12&|\text{multiply both sides by 2}\\-4x-6y=-24\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x+6y=24\\-4x-6y=-24\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=0\qquad TRUE\\\\2x+3y=12\qquad\text{subtract 2x from both sides}\\\\3y=12-2x\qquad\text{divide both sides by 3}\\\\y=4-\dfrac{2}{3}x\\\\Answer:\ \text{It's the dependent system of equations}\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\y=4-\dfrac{2}{3}x\end{array}\right[/tex]
Solving the system using elimination reveals that the two equations are dependent, resulting in infinitely many solutions since they represent the same line. There is no unique solution for x and y.
To solve the system of equations 2x + 3y = 12 and -4x - 6y = -24 using the elimination method, we aim to eliminate one variable by combining the equations. First, notice that the second equation is exactly -2 times the first equation. If we multiply the first equation by 2, we would have identical left-hand sides but with opposite signs, which would cancel out when added together.
Multiplying the first equation by 2 gives 4x + 6y = 24. Now, add this new equation to the second equation:
4x + 6y = 24-4x - 6y = -24Adding them results in 0 = 0, which indicates that the two equations are dependent, and the system has infinitely many solutions. This is because each equation is a multiple of the other, and they both represent the same line. Therefore, we cannot isolate x or y to find a unique solution. The system is consistent and dependent.
In 2000 the number of students enrolled at Arlington County day school was 823 students in 2010 the population was approximately 705 students find the percent of change in the enroll students at Arlington County day school from 2000 to 2010 in identify it as an increase or decrease
Answer:
enrollment decreases by 14.34%.
Step-by-step explanation:
Given that number of students enrolled in 2000 = 823
Given that number of students enrolled in 2010 = 705
705 is less than 823 so that means number of students enrollment is decreasing.
Decrease = 823-705 = 118
Percent decrease is given by formula:
[tex]Percent =\frac{part}{whole}\cdot100 =\frac{118}{823}\cdot100= 14.3377885784[/tex]
which is approx 14.34%.
Hence final answer is that enrollment decreases by 14.34%
Worth: 10 points
Note: Please help! Got only a few minutes left.
What is the APY of a savings account with an APR of 3.9886% and compounded quarterly.
Answer:
The APY of the saving account is 4.048656%
Step-by-step explanation:
We know the formula for APY which is given by
[tex]APY=(1+\frac{r}{n} )^n-1[/tex]
here, r= interset rate = 3.9886% = 0.039886
n = compounding cycles = 4
On plugging these values in the above formula, we get
[tex]APY=(1+\frac{ 0.039886}{4} )^4-1[/tex]
On simplifying this we get
APY = 0.04048656 =4.048656%
Answer:
APY = 4.0486561%
Step-by-step explanation:
Given is the Annual Percentage Rate (APR) = 3.9886% compounded quarterly.
Suppose Principal amount, P = $1.
time, t = 1 year.
interest rate, r = 3.9886% = 0.039886
period of compounding, n = 4 (for quarterly).
Future value = P * (1 + r/n)^(nt)
FV = 1 * (1 + 0.039886/4)^(1*4) = 1.040486561
Annual Percentage Growth = (FV/P)*100 = (1.040486561 / 1) * 100 = 4.0486561%
Hence, Annual Percentage Yield (APY) = 4.0486561%
WRITE THE EQUATION BELOW IN SLOPE-INTERCEPT FORM;
14x=6Y-12
The sllope-intercept form:
[tex]y=mx+b[/tex]
[tex]6y-12=14x[/tex] add 12 to both sides
[tex]6y=14x+12[/tex] divide both sides by 6
[tex]y=\dfrac{14}{6}x+\dfrac{12}{6}\\\\\boxed{y=\dfrac{7}{3}x+2}[/tex]
To change the equation 14x=6Y-12 into slope-intercept form, first isolate Y by adding 12 to both sides, then dividing by 6. This results in the equation Y = (7/3)x + 2.
Explanation:The equation provided is 14x=6Y-12 and we need to transform it to slope-intercept form, which has a general format of y = mx + b, where m is the slope and b represents the y-intercept.
Let's start by isolating y in the equation:
Add 12 to both sides to get rid of -12 beside 6Y. This gives us 14x + 12 = 6Y.Next, divide every term by 6 to solve for Y, we get: (14/6)x + 12/6 = YSimplify the fractions and write Y in proper spatial order :Y = (7/3)x + 2So, the slope-intercept form of the given equation is Y = (7/3)x + 2.
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(8/9)^-2 without an exponent
Answer:
81/64 or 1 17/64
Step-by-step explanation:
A negative exponent means to flip the fraction
(8/9) ^-2
(9/8)^2
81/64
Changing this to a mixed number
1 17/64
A scuba diver was swiming at an elevation of -8 meters. A shark was swimming at an elevation of -29 meters. Find the diffrence between these two elevations.
The difference in elevations between a scuba diver at -8 meters and a shark at -29 meters is calculated as: -8 - (-29) = 21 meters.
Explanation:The subject in question involves finding the difference in elevations. In this context, the scuba diver is swimming at an elevation of -8 meters, and the shark is at -29 meters. To find the difference, we subtract the lower number (-8) from the higher number (-29).
However, due to the negative signs, the difference will be calculated as follows: -8 - (-29) = -8 + 29 = 21 meters. Therefore, the difference in elevations between the shark and the scuba diver is 21 meters.
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Carrie is looking for a job cutting hair. One option is self-employment at The Belmont Salon, where she would pay $438 per month to rent a station and keep all her earnings. Another option is to work at a franchise, where she just have to pay $2 for every haircut. if she performed a certain number of haircuts every month, the amount paid to either salon would be the same. how much would Carrie pay? how many haircuts would that be? ( Can you also show the steps please?)
Answer:
She would have to do 219 haircuts in a month for the costs to be the same, which would be $428.
Step-by-step explanation:
To find this we take the costs of the first place.
$438
Next we can look at the costs of the second place using x as the number of haircuts she'd do.
2x
Now we can set the two equal to each other to find the number of cuts.
438 = 2x
219 = x
Carrie would pay $438 and perform 219 haircuts each month.
Explanation:To find out how much Carrie would pay and how many haircuts that would be, we need to set up an equation.
Let's assume the number of haircuts per month is x.
For self-employment at The Belmont Salon, Carrie would pay a fixed monthly rent of $438, so her total cost would be $438.
For the franchise option, Carrie would pay $2 for every haircut. So the total cost would be 2x.
Setting up the equation: 438 = 2x
To solve for x, we divide both sides of the equation by 2:
x = 438 / 2 = 219
Therefore, Carrie would pay $438 and perform 219 haircuts each month.
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You mix 3 and one half quarts of juice with 5 and one fourth quarts of ginger ale to make fruit punch. What is the ratio of the amount of juice to the amount of ginger ale in simplest form?
Answer:
1.5:2.25 because there is 1.5 quarts of juice and 2.25 quarts of ginger ale and the you put that with the to sign and there you have it
Which graph shows a dilation of a rectangle with the scale factor of 8/3
Answer:
Step-by-step explanation:
Rules for Dilations. In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A dilation is a type of transformation that enlarges or reduces a figure (called the preimage) to create a new figure (called the image)
Answer:
D
Step-by-step explanation: