Explanation:
Expression: d = 16t² where d is distance. t is time.
1)
Here t = 2
d = 16(2)²
d = 64 feet
2)
h = 906-t²
h = 906 - 16(2)²
h = 842 feet
3)
expression of height: y = 906 - 16t²
Answer:
64842y = 906 - 16t²Step-by-step explanation:
Q1
Distance travelled in 2 second 16(2)²64 feetQ2
Height of object after 2 seconds906 - 64842 feetQ3
height of object t seconds after it is droppedy = 906 - 16t²A customer purchased 1/2 pound of ham,1 pound of turkey,1/4 pound of roast beef,and 2 1/2 pounds of salami. Approximately how much did the customer pay for all the meat?
THE CHART
Ham-$5.99
Turkey-$4.99
Roast beef-$6.99
Salami-$2.99
bologna-$3.99
Answer:
Step-by-step explanation:
since this answer wants an approximation, we can round the cost up
Ham- 6 1/2 of 6 = 3
Turkey- 5 1 pound of turkey= 5
Roast Beef- 7 1/4 of 7= 1.75
Salami- 3 2 x 3= 6 1/2 of 3= 1.5 = 7.5
bologna- 4 No bologna was purchased.
3+5+1.75+ 7.5= 17.25 which is approximately 17.
I don’t understand this, can someone please explain and show the answers please
your answer would be A. 122/27
darlene can finish an average-sized crocheted centerpiece for 2 week how many days will it take her to finish 4 projects?
Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is 56 days.
How many days will it take Darlene to finish 4 projects?
Given that;
Darlene can finish an average-sized crocheted centerpiece in 2 week = ( 2 × 7)days = 14 dayshow many days will it take her to finish 4 projects?If 1 project takes 14 days
4 project takes x days
x = 4 × 14 days
x = 56 days
Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is 56 days.
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Jocelyn decides to research the relationship between the length in inches and the weight of a certain species of catfish. She measures the length and weight of a number of specimens she catches, then throws back into the water. After plotting all her data, she draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 32 inches would weigh?
The amount I can predict a catfish with a length of 32 inches would weigh is 28in.
What is the catfish measurement about?Let say the fraction is = yx + b
m = [tex]\frac{20-4}{23-20}[/tex]
= 6/3
=2
Note also that 4= 2 x 20 x b
Make b the subject of the formula and it will be=
B= -36
Therefore, the function will be:
Y= 2x - 36
If x = 32
Then y = 2. 32 - 36
=28
Therefore, the amount I can predict a catfish with a length of 32 inches would weigh is 28in.
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The charge for electricity consumption E is partly constant and partly varies as the number N of units used. The charge for 82 units is N 3,655 while the charge for 42 units is N 2055:
a) calculate the charge per unit of electricity
b) obtain a formula for E in terms of N
The charge per unit of electricity is #415
The formula for E in terms of N is E = 375 + 40N
What is variation?Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.
Analysis:
E = K + CN
where K and C are constants
When E = 3655, N = 82 and when E = 2055, N = 42
3655 = K + 82C ---------------1
2055 = K + 42C----------------2
subtract equation 2 from 1
40C = 1600
C = 40
substitute C in equation 1
3655 = K + 82(40)
3655 = K + 3280
K = 3655 - 3280 = 375
charge per unit is N = 1
E = 375 + 40(1) = #415
Formula for E in terms of N is E = 375 + 40N
In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N
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5. mr. and mrs. pinkerton have four boys. every time people notice this they comments to
the odds of this happening. the pinkertons decide to set up a simulation with 10 trids to
determine the probability,
The simulation that can best represent the chances of the Pinkertons having a boy or a girl is Flipping a coin.
What best shows the chances of having either a boy or girl?The question asks for the simulation that can represent the likelihood of having a boy or a girl.
Because there are two outcomes, they each have a 50% probability.
A good simulation to show this would therefore be flipping a coin because this has two outcomes as well which are heads or tails.
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nth term of -4 ,1, 12 ,29, 52
Answer:
[tex]3n^2-4n-3[/tex]
Step-by-step explanation:
The difference between each number is 5,11,17,23 and the difference between these numbers is 6. So by dividing 6 by 2, you get the n^2 co-efficient which in this case is [tex]3n^2[/tex].
Then compare the [tex]3n^2\\[/tex] pattern to the original pattern so:
-4, 1, 12, 29, 52
3, 12, 27, 48, 75
Subtract the original nth term sequence by the new [tex]3n^2\\[/tex] pattern and you will get:
-7, -11, -15, -19, -23
The nth term of this new sequence is -4n-3.
By combining the 2 nth terms together, you get [tex]3n^2-4n-3[/tex].
Hope this helps!
Stephanie earns $50 a week from babysitting. She spends
$25, saves $15, and uses the rest to repay a loan of $100 from
her brother. After six weeks, how much has Stephanie spent,
how much has she saved, and how much does she still owe her
brother?
Step-by-step explanation:
Stephanie has spent $150
she has saved $90
and owes her brother$40
What is the cotθ in the right triangle shown?
Find the distance between the points given below. Round your answer to the nearest tenth.
A (0,6) and B (-3,-1)
Answer:
7.6
Step-by-step explanation:
We want to find the distance between (0,6) and (-3,-1)
We can find the distance between any two points using the distance formula
Distance between two points =
[tex] \sqrt{(x2 - x1)^{2} +(y2 - y1) {}^{2} } [/tex]
Where the values of x and y are derived from the the two points. (x1,y1) and (x2,y2)
Here the two points are (0,6) and (-3,-1)
So we have (x1,y1) = (0,6) so x1 = 0 and y1 = 6
And we have (x2,y2) = (-3,1) so x2 = -3 and y2 = -1
Now we plug in the values of x and y into the formula and evaluate to get the distance.
Again recall distance = √(x2-x1)²+(y2-y1)²
==> plug in x2 = -3 , x1 = 0, y2 = -1 and y1 = 6
Distance = √(-3-0)²+(-1-6)
==> evaluate operations inside of parenthesis
Distance = √(-3)²+(-7)²
==> evaluate all exponents
Distance = √9+49
==> and 9 and 49
Distance = √58 = 7.6 (rounded)
If the perimeter of a pool is 102ft, and the length is 6 more than twice the width, what are the dimensions?
I need help I don’t know the answer
Answer:
Option 2
Step-by-step explanation:
Height of lemon tree = 8
Height of date tree = 8 x 3
On comparing, we understand that the date tree is 3 times as tall as the lemon tree.
Answer:
the answer is B or the second one
Step-by-step explanation:
8 x 3 = 24
the data tree is 3 times as tall as the lemon tree
help me please im like so desperate rn
Answer:
See below
Step-by-step explanation:
GCF of 36 and 4 is welllll, just 4
so 36 - 4 = 4*9 - 4 = 4 ( 9-1) ( I THINK that is what goes here)
Natalie is hiking up a mountain while Simone is hiking down. When Natalie begins to ascend, Simone begins to descend at the same time. The graph shows Natalie’s elevation in feet over time in minutes. The table shows Simone’s elevation at different times. Who is hiking at a faster rate? Show your work.
To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.
How to find out who is faster?Calculate how fast each hiker moves or the rate for each hiker.Compare the rates.How to calculate the rate?The rate is equal to distance divided by time. For example,
Natalie travels 100 meters in 5 minutes:100/ 5 = 25 meters per minute.Note: This question is incomplete because the graphs are not provided; due to this, the answer is based on general knowledge.
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PLEASE HELP!! ILL MARK U AS BRAINLIEST!!!
The answer would be [tex]\frac{1}{2}[/tex].
The probability of getting a 5 is [tex]\frac{1}{100}[/tex] and the probability of getting a number larger than 50 is [tex]\frac{49}{100}[/tex] (the 50 doesn't count). Add those up and you get [tex]\frac{50}{100}[/tex] and can be simplified to [tex]\frac{1}{2}[/tex].
Answer:
51/100
Step-by-step explanation:
The probability is the ratio of the number of outcomes of interest to the total number of possible outcomes.
__
There is one number 5. There are 50 numbers in the range 1–100 that are greater than 50. So, the total number of outcomes of interest is 1+50 = 51.
The possible outcomes are any of the numbers 1–100, so there are 100 of them.
The probability of interest is ...
P(n=5||n>50) = 51/100
Graph f(x) = x2 − 6x + 5? (1 point) 30 pts
Answer:
Direction: Opens Up
Vertex:(3,−14)
Focus:(3
Step-by-step explanation:
hope this help if not let me know have a blessed day
PLEASE HELP I BEG YOU! IF I DONT FINISH MY CLASS TODAY I HAVE TO MOVE SCHOOLS
A printing service charges a set-up fee of $11.00 for each order and 15 cents more for each copy. The total cost, c (in dollars), for an order of x copies is given by the following function.
C(x)=11.00+0.15x
What is the total cost for an order of 40 copies?
Answer:
$17 ( 17 USD )
Step-by-step explanation:
C(x)=11.00+0.15x
40 copies:
C(40) = 11+0.15(40)
C(40) = 11+6
C(40) = $17
Therefore, the total cost for an order of 40 copies is $17.
Hope this helps!!!
Please mark as brainliest!!!
P.S. I guess you don't have to change schools now?
pls help sixowiskosixo
The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
Quadratic EquationQuadratic equation are polynomials with a second degree as it's highest power.
An example of a quadratic equation is
[tex]y = ax^2 + bx + c[/tex]
The given quadratic equation is [tex]24x^2 + 2x = 15[/tex]
Let's rearrange the equation
[tex]24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0[/tex]
This implies that
a = 24b = 2 c = -15The equation or formula of quadratic formula is given as
[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
We can substitute the values into the equation and solve
[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}[/tex]
From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
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solutia ecuatiei 4x+12= 0 este x =
HELP!!! like plsssss
Answer:
68 cubic feet
Step-by-step explanation:
Split the object into 2 so you have 2 squares. Now do 2x4x6=48cbft. Then do 5x2x2=20cbft. Then just add them together! 48+20=68!
Hope this helps! ;-)
x^2 - 3xb - 40b^2 factor the trinomi
Answer:
− (8b − x) (5b + x)
Step-by-step explanation:
2. The diameter of sphere is 10 cm. Find the volume.
3. Juice is sold in aluminum cans that measure 7 inches in height and 4 inches in diameter. How many cubic inches of juice are contained in a full can?
4. The square pyramid has a volume of
297 cm3. The area of the base is 81 cm2. What is the height?
5. A glass is 10 cm deep and 8 cm wide. How much liquid can the glass hold?
6. A glass pyramid has a height of 6 inches. Its rectangular base has a length of 4 inches and a width of 2.5 inches. Find the volume of the glass.
7. A cylinder made of quartz has a volume of 5.8 cm3. If the radius is 2 cm, find the height.
8. Find the volume of a cone with a diameter of 10 meters and a height of 5.1 meters.
9. What is the volume of a sphere with a diameter of 18 ft?
10. Find the volume of a pyramid with a rectangular base measuring 6 cm by 4 cm and height 11 cm.
answer pls
The volume of the sphere will be V = 1570.79 cubic cm.
What is volume?The Volume of the sphere is the amount of quantity, which is obtained in the 3-dimensional space. A sphere is a circular ball type three dimensional object.
Given that:-
The diameter of the sphere is 10 cmThe volume of the sphere will be calculated as:-
V = 4 π r³
V = 4 x π x ( 5)³
V = 1570.79 cubic cm
Therefore the volume of the sphere will be V = 1570.79 cubic cm.
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I WILL GIVE BRAINLIEST FOR CORRECT ANSWER
The graph of the system of equations y= 2x+3 and y= x+5 is shown on the coordinate plane (image included). What is the solution to the system of equations?
Answer:
A
Step-by-step explanation:
The answer is A because the point intercepts at (2,7), and answer A has the points (2,7) in it's answer.
Two paper cones are mathematically similar. The capacity of the larger cone is 8 times the capacity of the smaller cone. The surface area of the smaller cone is 50 cm². Find the surface area of the larger cone.
Answer:
200 cm²
Step-by-step explanation:
The scale factor for areas of similar figures is the square of the scale factor relating their linear dimensions. For volumes of similar figures, the scale factor is the cube of the linear dimension scale factor. Together, these relations mean the area scale factor is the 2/3 power of the area scale factor.
__
The larger surface area is ...
(50 cm²) × 8^(2/3) = (50 cm²) ×4 = 200 cm²
_____
Additional comment
The linear dimension scale factor is the cube root, or 1/3 power, of the volume scale factor. The area scale factor is the square of that or the 1/3 power times 2, the 2/3 power.
sf = ∛(v2/v1) = (v2/v1)^(1/3)
a2/a1 = sf^2 = ((v2/v1)^(1/3))^2 = (v2/v1)^(2/3)
Cacular m<) ABC
Ayuda
Answer:
m∡ABC=140º
Step-by-step explanation:
Solve the system of equations.
5x−4y=−10
−4x+5y=8
Answer:
(- 2, 0 )
Step-by-step explanation:
5x - 4y = - 10 → (1)
- 4x + 5y = 8 → (2)
multiplying (1) by 4 and (2) by 5 and adding result will eliminate x
20x - 16y = - 40 → (3)
- 20x + 25y = 40 → (4)
add (3) and (4) term by term to eliminate x
9y = 0 , thus
y = 0
substitute y = 0 into either of the 2 equations and solve for x
substituting into (1)
5x - 4(0) = - 10
5x - 0 = - 10
5x = - 10 ( divide both sides by 5 )
x = - 2
solution is (- 2, 0 )
How many molecules of manganese are there in 1.75 moles? There are 6.02 x10^23 molecules/mol
Answer: [tex]1.0535 \times 10^{24} \text{ molecules of manganese}[/tex]
The result is approximate.
=========================================================
Work Shown:
[tex]1.75 \text{ moles} \times \frac{6.02 \times 10^{23} \text{ molecules}}{1 \text{ mole}}\\\\(1.75 \times 6.02) \times 10^{23} \text{ molecules}\\\\(10.535) \times 10^{23} \text{ molecules}\\\\(1.0535 \times 10^1) \times 10^{23} \text{ molecules}\\\\1.0535 \times (10^1 \times 10^{23}) \text{ molecules}\\\\1.0535 \times 10^{1+23} \text{ molecules}\\\\1.0535 \times 10^{24} \text{ molecules}\\\\[/tex]
Note: In the second step, the "mole" units cancel when dividing.
The function f(x) = –x^3 + 7x^2 – 7x – 15 has zeros located at 5, 3, –1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.
Answer:
See below for answers and explanations
Step-by-step explanation:
If we check x=5:
[tex]f(5)=-(5)^3+7(5)^2-7(5)-15\\f(5)=-125+7(25)-35-15\\f(5)=-125+175-50\\f(5)=50-50\\f(5)=0[/tex]
So [tex]x=5[/tex] is indeed a zero
If we check x=3:
[tex]f(3)=-(3)^3+7(3)^2-7(3)-15\\f(3)=-27+7(9)-21-15\\f(3)=-27+63-36\\f(3)=36-36\\f(3)=0[/tex]
So [tex]x=3[/tex] is also indeed a zero
If we check x=-1:
[tex]f(-1)=-(-1)^3+7(-1)^2-7(-1)-15\\f(-1)=1+7+7-15\\f(-1)=8+7-15\\f(-1)=15-15\\f(-1)=0[/tex]
So [tex]x=-1[/tex] is also indeed a zero
End Behavior
Since the degree of [tex]-x^3[/tex] is odd [tex](3)[/tex] and the leading coefficient is negative [tex](-1)[/tex], the end behavior of function [tex]f[/tex] is as follows:
As [tex]x\rightarrow-\infty,f(x)\rightarrow+\infty[/tex]As [tex]x\rightarrow+\infty,f(x)\rightarrow-\infty[/tex]6. You buy a car in 2018 for $12,000. The car depreciates at a rate of 20% annually. What is tha
car worth today?
Answer:
$4,915.2
Step-by-step explanation:
2018 = $12,0002019 = 9,600(20% of 12,000 = 2,400 | 12,000 - 2,400 = 9,600)
2020 = 7,680(20% of 9,600 = 1,920 | 9,600 - 1,920 = 7,680)
2021 = 6,144(20% of 7,680 = 1,536 | 7,680 - 1536 = 6,144)
2022 = $4,915.2(20% out if 6,144 = 1,228.8 | 6,144 - 1,228.8 = 4,915.2)
can someone help me with this question
Answer:
the answer will be 1 7/3 I believe