The interval for the given situation is (0, 4).
Given that, height = 400 ft, initial velocity of 64 ft/s and the equation s(t) = -16t² + 64t + 400.
What is an initial velocity?Initial velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts. They are four initial velocity formulas: (1) If time, acceleration and final velocity are provided, the initial velocity is articulated as. u = v – at.
To find the interval in which the ball is higher than the building, solve the inequality h(t) > 400. The inequality is easily solved by subtracting 400 so the comparison is to zero, factoring the expression involving t, and identifying the time interval in which the signs of the factors are the same.
-16t² +64t +400 > 400
⇒ -16t² +64t > 0
⇒ -16t (t -4) > 0
⇒ t=0 and t-4=0
Both factors will have negative signs on the interval (0, 4).
Therefore, the interval for the given situation is (0, 4).
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A parallelogram has a base of 9 and a corresponding height of 2/3. What is the area?
Therefore area of a parallelogram = 6
Given the base of a parallelogram = 9
Height of a parallelogram = 2/3
We have to find the area of the parallelogram as
The formula for the area of the parallelogram as base * height
By using the above formula we get
Area of parallelogram = base * height
= 9 * 2/3
= 3 * 2
= 6
Therefore area of a parallelogram = 6
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A group of 48 senior citizens attended a baseball game. The number of women in attendance was 12 more than the number of men. How many men and women attended the baseball game?
Answer:
18 men attended the baseball game, and 30 women attended the baseball game.
Step-by-step explanation:
Let the number of men in attendance be x and the number of women in attendance be x+12.
No. of men + No. of women = 48
x + x + 12 = 48
2x + 12 = 48
2x = 48 - 12
= 36
x = 36 ÷ 2
x = 18
x+12: 18 + 12 = 30
What equation represents y=−3x^2+12x−8 in vertex form?
What is CD?
A)7
B)10
C)13
D)21
A new miniature golf and arcade opened up in town. For convenient ordering, a play package is available to purchase. It includes two rounds of golf and 20 arcade tokens, plus $3.00 off the regular price. Stacey and her six friends are purchasing this package. Let g represent the cost of a round of golf, and let t represent the cost of a token. Write two different expressions that represent the total amount this group spent.
Answer:
a. 7(2g + 20t –3)
b. 14g + 140t – 21
Step-by-step explanation:
a. The first expression 7(2g + 20t – 3)
Stacey and her six friends implies that we have 7 members in the group.
Therefore, the expression above implies that each member of the group has to pay for two rounds of golf and 20 tokens will be discounted $3.00.
The expression (2g + 20t –3) represents the quantity of cost of each friend and this is multiplied by 7 to obtain this first expression, i.e. 7(2g + 20t –3).
b. The second expression 14g + 140t – 21
The simple interpretation of this expression us that deducting $21 from the to total bill which is 14 games of golf plus 140 tokens is equal to the total amount this group spent.
Therefore, this second expression is obtained by simply opening the bracket in the first expression by multiplying 7 by each of the what is in the bracket.
Pleas help. Please and thank :)
Answer:
126
Step-by-step explanation:
42/2= 21
21 times 6 = 126
answer is 126 pages
plez give brainliest
Find the value of x.
Answer: x=13
Step-by-step explanation:
what is the circumference of the circle of parallel of latitude 40°
Answer:
The circumference of a circle with a latitude of 40 degrees is 251.33
Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo.
What were the dimensions of the original photo?
pls hurry
4 inches by 4 inches
6 inches by 6 inches
10 inches by 10 inches
12 inches by 12 inches
Answer:
The correct answer is:
6 inches by 6 inches
Step-by-step explanation:
Given that
Area of Enlarged photo = 256 square inches
Let x be the side of original photo
then the equation for area of new enlarged photo will be:
[tex](x+10)^2 = 256[/tex]
We have to solve the given equation to find the side length of original photo
Taking square root on both sides
[tex]\sqrt{(x+10)^2} = \sqrt{256}\\x+10 = 16[/tex]
Subtracting 10 from both sides
[tex]x+10-10 = 16-10\\x = 6[/tex]
So the side length of original photo is 6 inches. The dimensions will be 6 inches by 6 inches.
Hence,
The correct answer is:
6 inches by 6 inches
Answer:
Its B on edge 2021
Step-by-step explanation:
Just took a test
The graph shows the distance, d, in miles, that Joe can drive his car using g gallons of gasoline. What is the rate of change in this situation?
30 miles per gallon of gasoline
35 miles per gallon of gasoline
20 miles per gallon of gasoline
25 miles per gallon of gasoline
pllllllllzzzzzz help!
Answer: 25 miles per gallon
Step-by-step explanation:
Look for where the slanted lines meets at a corner
B
20
A
19
С
What is the length of BC?
Answer:
6.245
Step-by-step explanation:
........... .....
PLEASEE HELP!!!!!!!!!1
Solve for the Degree 0
Answer:
d, 45 degrees
Step-by-step explanation:
a triangles angles add up to 180 we already have 90 so 180 - 90 = 90 and the two other angles are equal so 90÷2 is 45
Please answer this question. The answer is 2.77cm but my teacher wants a two triangle solution.
9514 1404 393
Answer:
5.69 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA can remind you of the relationships between angles and sides in a right triangle. Here, the useful ones are ...
Cos = Adjacent/Hypotenuse
Sin = Opposite/Hypotenuse
__
Using the first of these, we can find GD:
cos(52°) = GC/GD
GD = GC/cos(52°)
Using the second of these, we can find GH:
sin(64°) = GH/GD
GH = GD·sin(64°)
Substituting for GD, we find ...
GH = GC·sin(64°)/cos(52°)
GH ≈ (3.9 cm)(0.8988/0.6157)
GH ≈ 5.69 cm
_____
Additional comment
The length 2.77 cm given in your question is the approximate length of DH. That solution is DH = (3.9 cm)·cos(64°)/cos(52°) ≈ 2.7769 cm ≈ 2.78 cm.
Problems of this nature tend to be formulated different ways, so the specific answer will depend on the specific question. Angles and lengths and requested information may vary, even though the picture looks very similar. Read all the words.
The sum of two numbers is 53 and the difference is 19. What are the numbers?
1k + 9>30
Plis ayúdenme
Answer:
Step-by-step explanation:
1k +9 > 30
1k +9 -9 > 30 -9
1k > 21
k > 21
Given CAD is a right angle and AB is bisecting CAD and if DAB=(7x-4) find X
Answer:
7°
Step-by-step explanation:
Just a quick clarification, swap A and B on the diagram.
If CAD is a right angle, it is equal to 90°. Since AB is bisecting CAD, angles CAB and DAB are congruent(equal) and complementary(add up to 90) angles, and thus equal 45°. By the transitive property, if DAB = (7x - 4)° and also equals 45°, (7x - 4)° = 45°. So we can simply solve for x.
7x - 4 = 45
7x - 4 + 4 = 45 + 4
7x = 49
7x/7 = 49/7
x = 7
Find the solution(o) to 9N64x= 0, Check all that apply.
Solve the system given:
3x - y = 7
2x + y = 3
(5,4)
(-1,2)
(2,-1)
(4,5)
39) Mrs. Ray sold 96 pounds of shrimp. of it was sold at $5.60 per
pound and the rest at $4.70 per pound. How much money did she
receive altogether?
Answer:
How much of it was sold at $5.60 per pound? The question cut off on that part.
Step-by-step explanation:
I need help asap!!!!!
Answer:
16.7
Step-by-step explanation:
We can use the Pythagorean Theorem [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]. So we write the equation below and solve for b.
[tex]9^{2}[/tex] + [tex]b^{2}[/tex] = [tex]19^{2}[/tex]
81 + [tex]b^{2}[/tex] = 361
[tex]b^{2}[/tex] = 280
b = 16.7
Answer:
h²=p²+b²
(19)²-(9)²=b²
361-81= b²
b²=280
b= √280
:. b=+-16.733
I need help with these questions
(check pictures)
Answer:
1. 920.0 after that 1830/2 after that 9.1* 10 raised to 2 after that 918%
Step-by-step explanation:
triangle FGH with vertices F(-7,8) G(-1,1) and H(-8,4): 270 counterclockwise
The image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)
How to determine the image of the triangle when rotated?The vertices of the triangle are given as:
F = (-7,8)
G = (-1,1)
H = (-8,4)
The transformation rule is given as
270 degrees counterclockwise rotation
The rule of 270 degrees counterclockwise rotation is
(x,y) = (y,-x)
When the above rule is applied to the vertices of the triangle, we have:
F' = (8, 7)
G' = (1, 1)
H' = (4, 8)
Hence, the image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)
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SOMEONE HELP PLEASE! I will mark Brainlist and 5 star :)
5. Dion created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 13
inches. The length of the actual library is 78 feet.
Which scale did Leon use to create the scale drawing of the school library?
A. 1 inches represents 6 feet
B. 1 inches represents 1/6 foot
C. 6 inches represents 1 foot
D. 6 inches represents 1/6 foot
So the scale used was
1 inch = 6 feet ANSWER = AStep-by-step explanation:
Given;
Length of library on drawing = 13 inches
Actual length of library = 78 feet
In order to find the scale we divide the actual length by the length of library on drawing.
So, scale = 1 inch = 6 feet
Keywords: Scale, Maps
Answer:
C
Step-by-step explanation:
78 feet/13 inches=6 inches/foot
0. At a rugby match, the ratio of children to adults is 2 : 3
There are 80 children in the crowd.
Each adult ticket costs £8
Each child ticket costs a quarter of the adult ticket.
Work out the total money made from ticket sales.
What is the length of the hypotenuse in the traingle shown above?
Answer:
17 yards
Step-by-step explanation:
X = √[(15^2) + (8^2)]
x = √[225 + 64]
x = √289
x = 17
Evaluating expressions
Answer:
There is no expression to evaluate.
Step-by-step explanation:
What is the common denominator of 6/7 - 1/3
What is the common denominator of 3/4 + 1/3
What is the common denominator of 5 2/4 + 6 4/10
What is the common denominator of 5 1/2 - 4 1/3
Answer:
its the 3 to second work so 1403424555
Step-by-step explanation:
ik it cus im smart
Answer:
A. 21 B. 12 C. 20 D. 6
Step-by-step explanation:
help me solve ... 26 is 62% of what
Answer: 16.12 should be your answer.
Hope this helps.
Answer: 16.12
Step-by-step explanation:
Could someone help this question? I need help please and thank you
Answer:
second one
Step-by-step explanation:
-6 + 30 = 24