Answer:
0.5seconds later
Step-by-step explanation:
Given the height modeled by the equation:
s(t) = -16t^2 + 16t + 1152
The velocity of the object at the moon surface is zero
ds(t)/dt = 0
ds(t)/dt = -32t + 16
0 = -32t + 16
32 t = 16
t = 16/32
t = 1/2
t = 0.5seconds
Hence the object strikes the moon surface 0.5seconds later
Betty and Sally are 28 miles apart on a path when they start moving toward each other. Betty runs at a constant speed of 6 miles per hour, and Sally walks at a constant speed of 2 miles per hour. How long does it take until they meet?
Answer:
3.5 hours
Step-by-step explanation:
if you multiply 6 and 2 by 3.5, then add them you get 28
Write an question to represent:
one less than the quotient of four and a number x
Answer:
4/x-1
Step-by-step explanation:
so divide by x
so 4/x
less 1
4/x-1
2 Cassie has a family photograph that measures 5-inches wide and 7-inches long. She wants to enlarge the photograph and hang it on the wall. If the length of the enlarged photograph is 87.5 inches, what is the width of the enlarged photograph?
Answer:
62.5 inches
Step-by-step explanation:
We would solve this using ratio
Width : Length = Width/Length
For the Original photo
5 inches : 7 inches = 5/7
For the enlarged phots
x : 87.5 inches = x/87.5
Equating both ratios together, we have:
5/7 = x /87.5
Cross Multiply
7x = 5 × 87.5
7x = 437.5
x = 437.5/7
x = 62.5 inches
Hence, the width of the enlarged photo is 62.5 inches
During a certain24 -hour period, the temperature at time t (measured in hours from the start of the period) was T(t)=50+6t-1/3t^2
degrees. What was the average temperature during that period?
Answer:
The value of average temperature during that period=[tex]58^{\circ}[/tex]
Step-by-step explanation:
We are given that
Temperature at time t is given by
[tex]T(t)=50+6t-\frac{1}{3}t^2[/tex]
We have to find the average temperature during a certain 24-hour period.
We know that
Average value of function
[tex]f_{av}=\frac{1}{b-a}\int_{a}^{b}f(x)dx[/tex]
Using the formula
Average temperature during the period
[tex]=\frac{1}{24-0}\int_{0}^{24}(50+6t-\frac{1}{3}t^2)dt[/tex]
[tex]=\frac{1}{24}[50t+3t^2-\frac{1}{9}t^3]^{24}_{0}[/tex]
[tex]=\frac{1}{24}(50\times 24+3(24)^2-\frac{1}{9}(24)^3)[/tex]
[tex]=58^{\circ}[/tex]
Hence, the value of average temperature during that period=[tex]58^{\circ}[/tex]
please help asap no trolls!
Answer:
Yes
Using SAS congruent property
Step-by-step explanation:
Maggie made the following quilt from 64 square pieces of fabric. 7.52 ft What is the side length of each square piece of fabric? Enter your answer in the box. feet
Answer:
Step-by-step explanation:
Maggie made the following quilt from 64 square pieces of fabric, what is the side length of each square piece
Help Plz Special Right Triangles Help!!!!
Answer:
c
Step-by-step explanation:
in upper triangle:
Tan60=p/b
√3=a/6
∴a=6√3
again, sin60=p/h
√3 /2=6√3 /b
∴b=12
now, taking down triangle:
cos45=h/b
1/√2 =12/c
∴c=6√2
Emilia conducted an experiment with Growing crystals. At the beginning of the experiment, she had a crystal that measured 6MM. She recorded the length every hour and notice that it increased by 12MM every hour. Emilia Task to the relationship between time and length of the crystal. Which towo ordered pairs are on Emilia's graph? (1,12) (2,30) (4,36) (5,66) (7,54)
Answer: (2,30), (5,66)
Step-by-step explanation: I truly don’t know if this is correct, but at the beginning, the crystal was already 6 mm. She then realized it increased 12 mm every hour, so if one hour passed, it would be 12+6= 18. Okay, so now that we know that, we multiple the hours by 12 and then add the 6.
12x2= 24
24+ 6= 30,
12x5= 60
60+6= 66
rectangular flower bed is 120 in long and 240 in wide how many plants are needed if they are to be spaced 16 in
Answer:
45 plants
Step-by-step explanation:
Given that:
Length of bed = 120 in
Width of bed = 240 in
Perimeter of a rectangle is given by :
P = 2(length + Width)
Therefore,
P = 2(120 + 240)
Perimeter = 720 inches
If a spacing of 16 inches will be used ; number of plants needed ;
Perimeter / 16
= 720 in / 16 in
= 45
can some one plz help me with this sienice qustion (will give brainlest)
Answer:
A
Step-by-step explanation:
a teacher guessed 30 students would ask for help. However, there were actually 35 students who came to get help. What was her percent of error? Round to the nearest whole percent.
Answer:13%
Step-by-step explanation:
Lets call the Teacher Mrs.Lukens and we put the number into a calculator and subtract 35-13% you have it but as it was a guess you will never know.
(6-8)(9-10)-(4+2)(6+3)
Simplify the expression.
− 52
Answer:
Solution in photo
Step-by-step explanation:
f (x) = 5 – 3 (1 – 4)
What is the function
Answer: No solution
Step-by-step explanation: Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
f*(x)-(5-3*(1-4))=0
STEP
1
:
Solving a Single Variable Equation:
1.1 Solve fx-14 = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
We shall not handle this type of equations at this time.
No solutions found
Figure ABCD is a kite. Find the
value of x.
Answer:
x=5
Step-by-step explanation:
i think you posted this question twice, but here it is:
in order for this figure to truly be a kite, AD and AB have to be equal.
So:
4x=x+15
now we must solve the equation:
3x=15
x=5
IF YOU HELP ILL GIVE 100 POINTS AND BRAINLIEST! PLEASE HELP!!Which expression is equivalent to 4(23)?
4(2+13)
4(20+30)
4(2+3)
4(20+3)
Answer:
4(20+3)
Step-by-step explanation:
4(2+13) = 4(15)
4(20+30) = 4(50)
4(2+3) = 4(5)
4(20+3) = 4(23)
Therefore, 4(20+3) is the answer since it's equivalent to 4(23).
Answer:
............................................4(20+3)
Since 1 inch=2.54 centimeters what does 1 centimeter equal in inches?
Answer:0.393701 Inches
Step-by-step explanation:
Answer:
0.39
Step-by-step explanation:
0.39 is the answer. The answer above gives you the exact numbers.
add on number line10 +(-3)
please aswnser asap asap
Answer:
B
Step-by-step explanation:
x ≥ 0
y ≥ 0
x + y ≤ 25
12x + 9y ≥ 275
hope this helps <3
The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) You watch a roulette wheel spin 7 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin
Answer:
9 / 19
Step-by-step explanation:
Given that:
Number of slots on roulette wheel = 38
Number of red on wheel = 18
Number of black on wheel = 18
Number of green = 2
The probability that ball will land on red slot :
Recall: probability of event (A) = P(A)
P(A) = (number of required outcome / number of total possible outcomes)
Hence,
P(ball lands on red) = (Number of red slots / total number of slots)
P(ball lands on red) = 18 / 38
P(ball lands on red) = 9/ 19
if ABC ~ XYZ fi d XY. A 20. B 21. C 24. D not possible
Answer:
Choice D: not possible
Step-by-step explanation:
The reason why it's not possible is that when you try to make an equation it never comes out correct. You could also try plugging in the numbers then figure it out that way. It's not possible either way you do it.
tangles)
What is the missing term?
-1
?
-3
5x 25x2 | 15x
5x
+3
⚠️A machine used 48% of its oil. What fraction of its oil did the machine
use?⚠️
Need answer ASAP please and thank you
Answer:
12/25
Step-by-step explanation:
48/100 simplifies to 24/50. 24/50 simplififes to 12/25.
Sasha is in Chicago, where a thermometer outside reads –7 °F. Anna is in New York, where a thermometer outside reads –4 °F. Which temperature is coldest and why?
Answer:
-7 is colder, so Sasha has the coldest temperature.
Step-by-step explanation:
Simple as it is, -7 is 7 degrees below 0 which means its far more negative than -4. On a number line -7 would be the farthest dot from 0 on the left which you'd want to choose.
The ratio of Val's savings to Dan is 2:3 at first. After Dan spent P3000.00, Val's saving became 11/3 more of that Dan's remaining savings. What is the total amount of saving the two had at first
Answer:
P.7500.00
Step-by-step explanation:
We are told that:
The ratio of Val's savings to Dan is 2:3 at first.
Now, Dan spent P3000.00 and Val's saving became 1⅓ more of that Dan's remaining savings.
Let's say the total amount of savings they had at first was x.
Thus;
Val had: 2x/5
Dan had: 3x/5
Now, Dan spent P3000.00.
So amount Dan has left = (3x/5) - 3000
We are told Val's savings is now 1⅓ = 4/3 times that of Dan's remaining savings
Thus; 2x/5 = (4/3)((3x/5) - 3000)
2x/5 = 12x/15 - 4000
Multiply through by 15 to get;
6x = 12x - (3000 × 15)
6x = 12x - 45000
Rearranging, we have;
12x - 6x = 45000
6x = 45000
x = 45000/6
x = P.7500
Simplify (x - 4)(3x^2- 6x + 2).
Answer:
3x³ - 18x² + 26x - 8
Step-by-step explanation:
(x - 4)(3x²- 6x + 2) =
= x*3x² + x*(- 6x) + x*2 + (-4)*3x² + (-4)*(-6x) + (-4)*2
= 3x³ - 6x² + 2x - 12x² + 24x - 8
= 3x³ - 18x² + 26x - 8
pls help asap no trolls!
Answer:
HI
Step-by-step explanation:
In a triangle, the length size of each side corresponds to the size of the degree of the angle opposite it.
This means, the biggest angle would be opposite the side with the longest length, while the angle with the least degree will be opposite the side that is the smallest.
In ∆HIJ, the least angle measure is <J (54°).
Side length opposite to <J is HI.
Therefore the smallest side of ∆HIJ is HI
differences and similarities between obtuse angle and right angles
What fractions are equivalent to terminating decimals?
Option B since -7/15 equals -0.4666...
Hope it helps!
9) A 5 inch by 7 inch picture has a frame surrounding
it on all four sides of width w. The total area of the
picture frame and picture is 80 square inches.
a) Using the diagram and information, write an
expression for the total length, including the
frame, and with an expression for the total
width, including the frame.
Length expression:
Width expression:
b) Using the expressions for total length and width, write an equation for the total
area of the rectangular picture and frame (Hint: Area = l × w).
c) Using your knowledge of factoring, solve the equation from (b) for the width of
the frame surrounding the picture.
Answer:
w = 3/2
Step-by-step explanation:
Area of a Rectangle
The 5-inch by 7-inch picture has a frame of width w surrounding all four sides.
a)
The total length of the framed picture is 7 + 2w
The total width of the framed picture is 5 + 2w
b)
The total area of the framed picture is:
At = (7 + 2w)(5 + 2w)
c) We know the total area is 80 square inches, thus:
(7 + 2w)(5 + 2w) = 80
Operating:
[tex]35 + 14w + 10w + 4w^2=80[/tex]
Simplifying:
[tex]4w^2 + 24w -45 =0[/tex]
We now write:
[tex]4w^2 + 30w - 6w -45 =0[/tex]
Factor out 2w from the first two terms and -3 from the last two terms:
[tex]2w(2w + 15) - 3(2w + 15) =0[/tex]
Factor out 2w+15
(2w + 15)(2w - 3)=0
The solutions are:
w = -15/2
w = 3/2
The only feasible solution is the positive value, thus
w = 3/2
Sabrina has 54 ballon to arrange in bunches. She want to put the same numberof ballon on each bunch .list all the different ways can sabrina arrange the ballon
Answer:
54 groups of 1, 27 groups of 2, 18 groups of 3, 9 groups of 6, and repeat vice versa (6 groups of 9, etc).
Step-by-step explanation:
Total number of ways are 8 to arrange the balloon,
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,
Given that,
Total number of balloon Sabrina has = 54,
The number of ways Sabrina can arrange the balloon are:
1 group of 54 balloons,
2 groups of 27 balloons,
3 groups of 18 balloons,
6 groups of 9 balloons,
9 groups of 6 balloons,
18 groups of 3 balloons,
27 groups of 2 balloons,
54 groups of 1 balloon,
There are total 8 different ways Sabrina can arrange the balloons.
To know more about Permutation and Combination on:
https://brainly.com/question/13387529
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