The exponential function is given by f(x) = 2ˣ and the value of f(6) is 64
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An exponential funtion is in the form y = abˣ
At point (0, 1):
1 = ab⁰
a = 1
At point (2, 4):
4 = 1(b)²
b = 2
Hence:
f(x) = 2ˣ
Hence f(6):
f(6) = 2⁶ = 64
The exponential function is given by f(x) = 2ˣ and the value of f(6) is 64
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The test scores for the Chapter 5 test in Algebra I were:
75.95.90.95,60,95,75,95,90.
Question:
a. Find the mean, median, mode, and range of the data.
b. Which measure best describes the set of data? Why?
c. If test scores of 65 and 75 were added to the set, what would happen to the mean?
es )))
Answer Question 1: Mean literal number 85.55556 Not sure if there allowing you to round to the nearest tenth of digit
Median 90
Mode 95
Range 35
Question 2: Median is the best way because it gives you the overall average of a set of numbers.
Question 3: The mean would change because if you are adding new numbers you have to recount the mean meaning there is now a new average.
60% off $69.80. what is the sale price?
Answer:
Step-by-step explanation:
60 percent of $69.80 = $41.88
Answer:
27.92$
SolveConvert 60% into its decimal form.(0.6)
When finding the part of the whole number and percent, you must multiply.
[tex]0.6 * 69.80 = 41.88[/tex]
Now, to find the actual price, subtract 60% of 69.8(41.88) by 69.8
[tex]69.8 - 41.88 = 27.92\[/tex]
Therefore, the item is on sale for 27.92$
Questions?Ask in the comments.
Find the distance between the pair of points. Round
your answer to the nearest tenth, if
necessary. (4, 11), (- 9, 8)
Answer:
13. 3
Step-by-step explanation:
Given Points:
(x1= 4, y1 = 11), (x2= - 9, y2 = 8)
Distance Formula:
d² = (x2 -x1)² + (y2 -y1)²
Substitute and Calculate:
d² = ( -9 -4)² + ( 8 -11)²
d² = (-13)² + (-3)²
d = √(169+9)
d = √178
d = 13.34166406 round to the nearest tenth
d = 13. 3
who can please do my math iready!!!! im level E pls i need help. i don’t understand it.
Answer:
sure
Step-by-step explanation:
Read this statement and determine if it will result in data with variability.
"The number of people who shop at grocery stores each day."
Select one:
No, the data will not yield variability.
Yes, the data will yield variability.
The statement "the number of people who shop at grocery stores each day will yield variability
What is variability of data?This is the ability of a data to change. It determine the measure at which data points diverge that is far from each other.
For the number of people who shop at grocery stores each day." will yield variability since different set of people from different location to patronize the grocery shop.
The statement "the number of people who shop at grocery stores each day will yield variability
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The difference of two numbers is 5 and the difference of the reciprocals is 1 /10 find the numbers. Use quadratic equations
Please answer it properly with steps.....
Answer:
Refer to the 2 attachments .
____
Hope it helps ⚜
while waiting for a video game to download, you notice that 30\%kilobytes have been downloaded so far.
How many kilobytes have been downloaded so far?
Step-by-step explanation:
30/100*32000=
960,000/100
=9,600 kilobytes.
Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Liam bought 2 hamburgers and 4 orders of fries for $13. How much would an order of 1 hamburger and 2 orders of fries cost?
The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,
[tex]3x+2y=12.5[/tex]
Solve this equation as,
[tex]2y=12.5-3x\\y=\dfrac{12.5-3x}{2}[/tex] .....1
Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,
[tex]2x+4y=13[/tex]
Put the value of y in this equation and solve it further,
[tex]2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3[/tex]
Put this value of x in equation 1,
[tex]y=\dfrac{12.5-3\times3}{2}\\y=\dfrac{3.5}{2}\\y=1.75[/tex]
The cost of an order of 1 hamburger and 2 orders of fries is,
[tex]C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5[/tex]
Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
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is 63/20 equivalent to 4/9 divided by 5/7
Answer:
No
Step-by-step explanation:
4/9 divided by 5/7 is equal to 4/9 * 7/5 = 28/45. We can see that 63/20 is not equivalent to 28/45 as 28/45 is less than one and 63/20 is greater than one.
Lois rented a car for $54.00 a week plus $0.15 for each mile the car is driven. What is the greatest number of miles Lois can drive the car in one week if she wishes to spend at most $140.00?
Answer:
2 weeks
Step-by-step explanation:
54.00 + 0.15 = 54.15
140/54.15 = about 2.5
Since she can only spend $140, she has to round down, so the answer is 2 weeks.
Alanna is painting a border along the top of a wall. the border consists of kite-shaped figures as shown. 3 kites are connected at 1 point. each kite measures 6 inches across and 12 inches long. the wall is 12 feet across. how many square inches of the wall will be covered with kites? 216 432 864 1,728
If each kite measures 6 inches across and 12 inches long. The square inches of the wall will be: 864 square inches.
Square inches of the wal
Diagonals= d1 and d2
First step
Area =(1/2)×(d1×d2)
Area=(1/2)×(6×12)
Area =36 in²
Second step
1 feet = 12 inches
12 feet = 12×12
12 feet = 144 in
Third step
Number of square inches=(144/6)×36
Number of square inches=24×36
Number of square inches= 864 square inches
Therefore the square inches of the wall will be: 864 square inches.
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Answer:
C
Step-by-step explanation:
¿Cual es la medida de < X?
Answer:
49°
Step-by-step explanation:
∠XOZ = 90°
∠XOV = 41°
90 - 41 = x°
49 = x°
-11x - 72 = 84 + x
And I also need to do the check part
Answer:
Step-by-step explanation:
-11x - 72 = 84 + x
combine like terms on opposite side of =
(-11x )+ (-1x) = (84) + (72)
-12x = 156
divide both sides by -12 to isolate x
-12/-12 = 156/-12
x = -13
insert (-13) for x
(-11 * -13) -72 = 84 + (-13)
71 = 71
equality means its right
Pedro is making 30 sundaes with mint, chocolate, and vanilla ice cream. 3 /5 of the sundaes are mint ice cream and 1 /2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla
Answer:
6
Step-by-step explanation:
3/5 of 30=18
18-30=12
half of 12 gets you 6
Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 of
the 4 aces?
Answer:
1/13
Step-by-step explanation:
There are 4 aces in the 52-card deck so prob = 4/52 = 1/13
Determine the next step for solving the quadratic equation by completing the square.
0 = –2x2 + 2x + 3
–3 = –2x2 + 2x
–3 = –2(x2 – x)
–3 +
= –2(x2 – x + )
StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2
StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2
The two solutions are
Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction.
[tex]\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2[/tex]
the idea behind the completion of the square is simply using a perfect square trinomial, hmmm usually we do that by using our very good friend Mr Zero, 0.
if we look at the 2nd step, we have a group as x² - x, hmmm so we need a third element, which will be squared.
keeping in mind that the middle term of the perfect square trinomial is simply the product of the roots of "a" and "b", so in this case the middle term is "-x", and the 1st term is x², so we can say that
[tex]\stackrel{middle~term}{2(\sqrt{x^2})(\sqrt{b^2})~}~ = ~~\stackrel{middle~term}{-x}\implies 2xb~~ = ~~~~ = ~~-x \\\\\\ b=\cfrac{-x}{2x} \implies b=-\cfrac{1}{2}[/tex]
so that means that our missing third term for a perfect square trinomial is simply 1/2, now we'll go to our good friend Mr Zero, if we add (1/2)², we have to also subtract (1/2)², because all we're really doing is borrowing from Zero, so we'll be including then +(1/2)² and -(1/2)², keeping in mind that 1/4 - 1/4 = 0, so let's do that.
[tex]-3~~ = ~~-2\left[ x^2-x+\left( \cfrac{1}{2} \right)^2 ~~ - ~~\left( \cfrac{1}{2} \right)^2\right]\implies -3=-2\left(x^2-x+\cfrac{1}{4}-\cfrac{1}{4} \right) \\\\\\ -3=-2\left(x^2-x+\cfrac{1}{4} \right)+(-2)-\cfrac{1}{4}\implies -3=-2\left(x^2-x+\cfrac{1}{4} \right)+\cfrac{1}{2} \\\\\\ -3-\cfrac{1}{2}=-2\left(x^2-x+\cfrac{1}{4} \right)\implies -\cfrac{7}{2}=-2\left(x-\cfrac{1}{2} \right)^2\implies \cfrac{7}{4}=\left(x-\cfrac{1}{2} \right)^2[/tex]
[tex]~\dotfill\\\\ \pm\sqrt{\cfrac{7}{4}}=x-\cfrac{1}{2}\implies \cfrac{\pm\sqrt{7}}{2}=x-\cfrac{1}{2}\implies \cfrac{\pm\sqrt{7}}{2}+\cfrac{1}{2}=x \implies \cfrac{\pm\sqrt{7}+1}{2}=x[/tex]
Answer:
see picture
Step-by-step explanation:
-1/2
1/4
1/2
f(x) = -7x - 19
g(x) = 0.75x + 4.25
x=
Answer:x=-14.75
Step-by-step explanation:
f(x) = -7x - 19=-19
g(x) = 0.75x + 4.25 =4.25
The following scatter plot represents the height of a basketball in seconds during a free throw shot.
(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Why is a quadratic model more appropriate for this data? Explain your answer in complete sentences.
(b) Use a graphing calculator or other technology to write a function that better models the data in the scatter plot. Round each term to the nearest ten-thousandth.
The function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic. Then the quadratic equation is y = -1.25x² + 7.35x + 3.2.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The following scatter plot represents the height of a basketball in seconds during a free throw shot.
(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Then the function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic.
(b) Write a function
We know that the quadratic equation is given as ax² + bx + c = y
This will pass through the points (1, 9.3), (2, 12.9), and (3, 14). Then we have
[tex]\rm a + b + c = 9.3 \ \ \ \ \ \ \ ...1\\\\4a + 2b + c = 12.9 \ \ \ ...2\\\\9a + 3b + c = 14 \ \ \ \ \ \ ...3[/tex]
On solving the equations 1, 2, and 3. Then we have
a = -1.25, b = 7.35, and c = 3.2
Then the quadratic equation will be
y = -1.25x² + 7.35x + 3.2
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Ryan has 3 1/2 pints of milk. He uses 1 1/2 cups of milk to make Recipe A and 1 1/2
cups of milk to make Recipe B.
Answer: He will have ½ pints of milk left
Step-by-step explanation: 1½ + 1½ =3
3½-3=½
HELP PLS I NEED THIS ASAP WOULD GIVE 15 PTS AS LONG AS YALL HELP
Answer:
10
Step-by-step explanation:
This is just a prediction but given that it lands on blue more times than any other color i would say 10 out of 16
Which equation below would be parallel to the line y= 2x+5 and pass through the point (3,1)
PLEASE HELP ASAP!!!!!!!!
Answer:
The answer is 6 rides that cost $26.
Step-by-step explanation:
Plan A: $20 plus $1 per ride.
Plan B: $8 plus $3 per ride.
Turn that into a linear equation to graph.
Plan A: [tex]y=1x + 20[/tex]
Plan B: [tex]y=3x + 8[/tex]
The x-axis is rides and the y-axis is $.
On the graph appears that it takes 6 rides for Plan A and B to be the same a cost of $26.
Consider the diagram. Solve for m.
Answer:
m = 39°
Step-by-step explanation:
The useful relations here are ...
the sum of angles in a triangle is 180°inscribed angles subtending the same arc have the same measure.__
Angle ACB subtends the same arc (AB) as angle ADB, so has the same measure, 36°. Then the sum of angles in triangle ACB is ...
33° +36° +72° +m = 180°
m = 180° -141° = 39°
Find the surface area of the cylinder
A pizza shop has available toppings of anchovies, bacon, mushrooms, onions, sausage and olives. How many different ways can a pizza be made with 3 toppings?
There are 56 different ways of making pizza with 3 toppings.
8 pizzas will made with 3 different toppings
what is the area of this figure?
what is the mean of 95 and 45 and 37 and 82 and 90 and 100 and 91 and 78 and 67 and 84 and 85 and 85 and 82 and 91 and 93 and 92 and 76 and 84 and 100 and 59 and 92 and 77 and 68 and 88
Answer:
The mean is 80.875 or 81 rounded
Step-by-step explanation:
To find the mean of any set of numbers, you need to get the values added up together and the #values (how much numbers there are).
Formula setup: amountaddedup/#numbers
✔ When we plug in the values in the formula, you will get 80.875.
The mean of the given data is 80.75.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given data is 95, 45, 37,82 ,90,100, 91 ,78 , 67 ,84 ,85 ,85 , 82 , 91 , 93 , 92,76, 84, 100, 59 , 92, 77 , 68 and 88
Mean = Sum of the observations/ Total number of observation.
Sum of the observations = 95+ 45+37+82+90+100+91+78+67+84+85+85 +82 +91+93+92+76+84+100+59+92+77+68+88
=1941
Total number of observation= 24
Mean = 1941/24
=80.875
Hence, the mean of the given data is 80.75.
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What is the answer to −(3x−9)
I need help with this
Answer:
B would be my best answer, not sure tho
What is the slope below?
Answer:
8/1
Step-by-step explanation:
To find slope you would do:
rise/run
Up and down is the rise
Left and right is the run
In your problem it goes up 8 and right 1