Answer:
40
Step-by-step explanation:
since you can just add 4 to 36 to get 40.
Answer:
40
Step-by-step explanation:
Let n represent the number then...
n-4=36
Add 4 to both sides
n-4+4=36+4
n=40
The number is 40
The parabola with equation y = a(x – 2)^2 + q passes through the points (-2,5) and (4, -1) Determine the coordinates of the vertex of the parabola.
please help!
Step-by-step explanation:
the standard form for a quadratic function is
y = ax² + bx + c
our parabola had the equation
y = a(x - 2)² + q
let's do the "math" :
y = a(x² - 4x + 4) + q = ax² - 4ax + 4a + q
so, we know (when comparing with the standard form)
b = -4a
c = 4a + q
for the vertex we need to find the axis of symmetry first by using the standard formula
x = -b/2a
which is in our case
x = -(-4a)/2a = 4a/2a = 2
to get y for this x we need to find a and q first.
we are using the given points for that :
5 = a(-2)² - 4a×(-2) + 4a + q
-1 = a(4)² - 4a×4 + 4a + q
the first equation then forms into
5 = 4a + 8a + 4a + q = 16a + q
the second equation forms into
-1 = 16a - 16a + 4a + q = 4a + q
let's subtract the second from the first equation
5 = 16a + q
- -1 = 4a + q
--------------------
6 = 12a + 0
12a = 6
a = 1/2
-1 = 4a + q = 4×1/2 + q = 2 + q
q = -3
so, the original equation for our parabola is
y = 1/2 × (x - 2)² - 3
so y for the vertex (remember, x = 2) is
y = 1/2 × (2 - 2)² - 3 = 1/2 × 0 - 3 = -3
so the vertex is (2, -3)
Write the equation for the following relationships
x: 1/2, 0, 2
y: 4, 0, 16
please write in the y=mx+b formula
to get the equation of any straight line we simply need two points off of it, from the table [tex]\begin{array}{|cccc|ll} \cline{1-4} x&\frac{1}{2}&0&2\\ \cline{1-4} y&4&0&16\\ \cline{1-4} \end{array}[/tex] let's use the points of (0 , 0) and (2 , 16)
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{16}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{16}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}}\implies \cfrac{16}{2}\implies 8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{8}(x-\stackrel{x_1}{0})\implies y=8x[/tex]
A farmer sells a 5 pound bag of potatoes for $7.28. Five years later the farmer sells a 5
pound bag of potatoes for $12.67. What is the percent increase? (Make sure you answer
is a percentage then round to the nearest hundredths place if needed)
A rectangular room has a 10ft by 8ft rug in the center such that the distance from the edge of the rug to the wall is the same on all four sides. If the area of the room is 288 square feet, find the distance the rug is from the wall.
The answer I got was 13ft away, can someone check me on that?
Answer:
You are correct if rounding to the nearest whole number.
I got 12.69 so if you round up, you will get 13 (see below)
Step-by-step explanation:
X*Y = 288
(X-a)*(Y-a) = 10 * 8 = 80
X-a = 10
Y-a = 8
a = Y-8 = X-10
(X-10) * X = 288
X^2 - 10X = 288
X^2-10X-288= 0
quadratic equation
[tex]X = \frac{10 +/- \sqrt{100 - (4)(-288)} }{2}[/tex]
X = (10 + 35.38)/2 =22.69 (technically it would have 2 answers, but we only want to evaluate the positive answer)
a = X- 10 = 22.69- 10 = 12.69 which would round up to 13 if you are rounding to the nearest whole number.
HOPE THIS HELPS!!!
MAX POINTS
The 19% APR is the annual interest rate, but it is compounded monthly. What is the
monthly interest rate?
Other loan info (I don't know what all you need to calculate this)
The debt owed is 910$ and the minimum payments is 2.5% or ten dollars whatever is larger. Assume Zach is going to pay only the minimum. If he only pays minimum it would take him 154 months.
Answer:
Monthly rate: 19%/12 ≈ 1.5833%72 months to pay off the loanStep-by-step explanation:
The monthly interest rate is the annual rate (APR) divided by 12.
19%/12 ≈ 1.5833%
The loan will be paid in fewer than 91 months, because Zach will be paying at least $10 per month on his current balance of $910. The attached spreadsheet shows it will take 73 payments to pay off the loan.
On Monday Tom takes 15 minutes to walk one mile to school. On Tuesday
he takes 20 minutes to walk the same distance. Calculate his speed in mph
for each day's walk.
Answer:
Tom's speed (in mph) on Monday [tex]=4mph[/tex]
Tom's speed (in mph) on Tuesday [tex]=3mph[/tex]
Step-by-step explanation:
Using Speed distance time formula.
Tom's speed (in mph) on Monday
[tex]=Distance/time.[/tex]
[tex]=1/(15/60).[/tex] [By question statements, [tex]1hr=60min].[/tex]
[tex]=4mph[/tex]
Tom's speed (in mph) on Tuesday
[tex]=Distance/time.\\ =1/(20/60).[/tex][By question statements, [tex]1hr=60min].[/tex]
[tex]=3mph.[/tex]
Hence
Tom's speed (in mph) on Monday[tex]=4mph.[/tex]
Tom's speed (in mph) on Tuesday[tex]=3mph.[/tex]
I hope this helps you
:)
On Monday, The speed of Tom will be 4 mph.
On Tuesday, The speed of Tom will be 3 mph.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
On Monday Tom takes 15 minutes to walk one mile to school.
On Tuesday he takes 20 minutes to walk the same distance.
Now,
For Monday;
Tom takes 15 minutes to walk one mile to school.
Hence, Distance = 1 mile
Time = 15 minutes = 15/60 hour
Thus, Speed = Distance / Time
= 1 / (15/60)
= 60/15
= 4 mph
For Tuesday;
Tom takes 20 minutes to walk one mile to school.
Hence, Distance = 1 mile
Time = 20 minutes = 20/60 hour
Thus, Speed = Distance / Time
= 1 / (20/60)
= 60/20
= 3 mph
Thus, On Monday, The speed of Tom will be 4 mph.
On Tuesday, The speed of Tom will be 3 mph.
Learn more about the speed visit:
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PLS HELP ILL GIVE BRAINLIEST!!!!!!!!
Answer:
It says it right there.
the answer that you need is 300
Step-by-step explanation:
Brainiest
Answer:
The height of the square pyramid is 150 inches
Step-by-step explanation:
[tex]volume \ of \ square \ pyramid = a^2 \frac{h}{3}[/tex]
[tex]450 = 3^2 \frac{h}{3}[/tex]
[tex]450 = 9( \frac{h}{3} )[/tex]
[tex]450 = 3( {h}{)[/tex]
[tex]450 = 3h[/tex]
[tex]h = 150[/tex]
Which type of data would be best displayed in a dot plot?
Answer:
the top one
Step-by-step explanation:
it has the least number
Answer:
A
Step-by-step explanation: i got it right
TRANSFORMATIONS !!
The vertices of a trapezoid are shown below.
(0,6), (6,12), (6,9), (0,12)
Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?
A . (2,8) B. (3,3) C. (3,6) D. (12,24)
Answer: C
Step-by-step explanation:
A jet boat is used to take canoers 200 miles upriver to their starting point. As the driver of the jet boat,
Jeremy knows that it will take him 5 hours to get the canoers upstream, but only 4 hours to get the boat
back downstream after dropping the canoers off, as long as he keeps the boat moving at a constant speed.
How fast would the boat be moving in still water?
A
B
C
D
5 mph
40 mph
45 mph
50 mph
Answer:
The answer is D because if you go at a constant speed of 50 MPH for 4 hours you will have reached 200-mile mark at 4 hours
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
50mph
A city's baseball team coach recorded the ages of the players on the team. The players' ages are: {12, 16, 15, 12, 16, 14, 12, 16, 13} What is the interquartile range (IQR) of the players' ages? A.1 B.2 C.3 D. 4
Answer:
D. 4
Explanation:
I took the test and got this question correct!
divide 5600 in the ratio 4 :5:7
Answer:
Step-by-step explanation:
So in our case, let assume 'x' as a common factor.
Thus,
4x + 5x + 7x = 5600;
16x = 5600;
x = 5600/16 = 350.
So,
4x= 350*4 =1400;
5x= 350*5 = 1750; &
7x= 350*7 = 2450.
Your answer is, 5600 = 1400+1750+2450 which is in ratio of 4:5:7.
Casey is selling adult tickets and student tickets for the school play. The adult tickets cost $6.00 and the student tickets cost $4.00. Casey sells 120 tickets and makes $560.00. Which system of equations could be used to find the cost of each ticket?
which option does the following expression simplify to?
please help :)
»Option (A.)
Let find
5b^{0}
= 1
hope its helps
Okay
Carson runs a farm stand that sells strawberries and bananas. Each pound of strawberries sells for $3 and each pound of bananas sells for $1.50. Carson sold 4 times as many pounds of strawberries as pounds of bananas and he made $135 altogether. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x, and the number of pounds of bananas sold, y.
Answer:
3.33
Step-by-step explanation:
Please help I don’t understand this
E( _15_, _5_ )
F(_15_, _10_)
G(_15_, _10_)
H(_5_, _15_)
I'm not really sure if those are the right answers, but from what I was taught in school, I think so.
85 is 125% of what number?
Employment Frequency
The table shows the frequencies for the data from the
previous task about part-time employment for 15
randomly selected high school students. Use the
information to complete the relative frequency column of
the table. Express answers as percentages rounded to
the nearest whole number.
Relative
Frequency
7%
1
6
40%
babysitter
food service
lifeguard
retail
3
A
5
B
A=
=> 20%
B =
=> 33%
A= 20%
B= 33%
What is Relative Frequency?
Relative frequency is simply the number of outcomes in a particular subgroup (f) divided by the total number of outcomes in an experiment (n).
Thus, Relative frequency= f/n
In the above question, we need to find the relative frequencies of 2 subgroups- lifeguards and retail.
For lifeguards, f=3 and n=15
∴ Relative Frequency (A) = [tex]\frac{3}{15}[/tex]
Since we've to express it in percentage form,
A= [tex]\frac{3}{15}[/tex] * 100
= 20%
Similarly for retail-
B= [tex]\frac{5}{15}[/tex] * 100
= 33%
Thus, A= 20% and B= 33%
Learn more about relative frequency here-
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What is the volume of a cube with a length of 10 meters?
A. 10,000 m³
B. 1,000 m³
C. 100 m³
D. 30 m³
In this exercise we have to use the formula for volume of the cube and we find that:
Volume of cube is 1000m³
How is volume calculated?The formula is V = c * l * a, where:
V = volume, c = length, l = width, a = height.Given that the length of side of cube = 10m, and knowing the formula the volume of cube is:
[tex]Volume of cube = (side)^3\\Volume of cube= (10)^3\\Volume of cube = 1000 m^3[/tex]
See more about volume at brainly.com/question/1578538
Paul bought 4 DVDs for $9.95 each. What was his total cost?
Answer:
He bought 4 DVDs for $9.95 each, so $9.95*4= $39.8 is his total cost.
Step-by-step explanation:
i need help please thanks
Answer:
127 degrees
Step-by-step explanation:
Please help ASAP!!!!
I think it's A if I'm wrong someone correct me have a great day!!
how do i graph y=1/2+4
y=1/2+4
y=2+4
y=6
or
y=1/2+4
y=1/6
y=6
Those homeworks are so easy lmaøoo
Answer:
To graph the equation of a line written in slope-intercept (y=mx+b) form, start by plotting the y-intercept, which is the b value. The y-intercept is where the line will cross the y-axis, so count up or down on the y-axis the number of units indicated by the b value. From the y-intercept point, use the slope to find a second point. The numerator of the slope tells you how many units to move up or down from the intercept, and the denominator of the slope tells you how many units to move left or right in order to plot the second point. Connect the two points and draw arrows at either end to indicate that the line extends infinitely.
Step-by-step explanation:
Since the equation is in y=mx+B form, M is the value of we can use B as the Y_Intercept and M as the slope.
#LearningIsFun
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 59(0.59)
This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is .59 which is less than 1, representing decay.
HELP AGAINN
5(2x+6) using x=4
Answer:
70
Step-by-step explanation:
Answer:
Step-by-step explanation:
Plugin x = 4 in the expression
5*(2x + 6 ) = 5*(2*4 + 6)
= 5* (8 + 6)
= 5 * 14
= 70
Antonia is factoring the polynomial, which has four terms. 21x3−63x2 15x−45 3[7x3−21x2 5x−15] 3[7x2(x−3) 5(x−3)] Which is the completely factored form of her polynomial? 21x2(x − 3) 36x2(x − 3) 3(7x2 5) (x − 3) 3(12x2 5) (x − 3).
Answer:
21x2(x-3)
Step-by-step explanation:
Answer: Its C- 3(7x^2+5)(x-3)
Step-by-step explanation:
took it on edge2022
Gabriella has 3 bottles of water.
Each bottle contains 500 ml of water.
Work out the total quantity of water.
Give your answer in litres.
Answer:
1.5 Liters
Step-by-step explanation:
500ml=0.5L
(0.5L)x3= 1.5L
15 POINTS!
Heath performed an experiment in which he randomly pulled one marble out of a bag at a time, recorded its color, placed it back in the bag, and repeated. His results are shown in the following table. What is the experimental probability of pulling a green marble?
Enter your answer as a decimal rounded to the nearest hundredth, like this: 42.53
Answer: 21/36
Step-by-step explanation:
I added both of the numbers together (15+21) and I got 36 so I just put 21 over 36. So the percentage of it is either 58% or 58.3% !
Hope it helped ;>
Answer:
0.58
Step-by-step explanation:
15 + 21 = 36
21 / 36 = 0.58
0.58
NOW SOMETIMES SOME SCHOOLWORK WILL WANT IT HAS A HIGHER DECIMAL IT DEPENDS ON UR SCHOOL SO IF 0.58 DOES END UP BEING WRONG (which is unlikely because most schools would want it this way) THEN I WOULD DO 58.33
ok have a wonderful rest of ur day :)
I need help with this. can anyone help me please.
Answer:
21
Step-by-step explanation:
yeah 2+2 is 21 thanks for the very nonexistent question
Caisha has a circular garden with a radius of 4 ft. She needs to put a layer of soil on top. Each bag of soil covers 9. 42 square feet. How many bags of soil will she need to buy? 5 bag 6 bags 7 bags 8 bags.
She needs to buy 6 bags of soil. the correct option is B
Given
Caisha has a circular garden with a radius of 4 ft.
She needs to put a layer of soil on top. e
Each bag of soil covers 9.42 square feet.
What is the radius of a circular garden?The radius of the circular garden is equal to the pie times of the square of the radius.
The radius of the circular garden is;
[tex]\rm Area = \pi r^2\\\\Area = 3.14 \times (4)^2\\\\ Area = 3.14\times 16\\\\Area =50.24[/tex]
Therefore,
The number of bags of soil will she need to buy is;
[tex]\rm = \dfrac{Area }{Soil \ covers}\\\\= \dfrac{50.24}{9.42}\\\\= 5.33\\\\= 6 \ bags \ apporx[/tex]
Hence, she needs to buy 6 bags of soil.
To know more about the area click the link given below.
https://brainly.com/question/11541452
