Answer:
1080
Step-by-step explanation:
A soccer ball is kicked from the top of a 64 ft building into the air at an initial speed of 48 ft/sec. Its flight as a functions of time can be modeled by: h(t)=−16t2+48t+64. After how many seconds, will the soccer ball hit the ground (h=0)?
Answer:
t = 4 seconds
Step-by-step explanation:
The height of a soccer ball as a function of time is given by :
[tex]h(t)=-16t^2+48t+64[/tex]
We need to find the time when the ball hit the ground i.e. h = 0
Put h = 0 in above equation. So,
[tex]-16t^2+48t+64=0\\\\16(-t^2+3t+4)=0\\\\-t^2+3t+4=0[/tex]
It is a quadratic equation such that,
t = -1 s and t = 4 s
Neglecting -1 s, the ball will hit the ground after 4 seconds.
Which describes the relationship between EG and DF 2 Select all that apply.
ty
F
E
21
ס
o
2
4
A
perpendicular
B bisect each other
C. parallel
D. congruent
Answer:
A perpendicular
B bisect each other
D. congruent
Step-by-step explanation:
Given
Attached quadrilateral
Required
Relationship between EG and DF
First, we have that: DEFG is a square
EG and DF are diagonals
Using the property of diagonals of a square, we have:
EG and DF to be perpendicular
EG and DF to be congruent
EG and DF to be bisect each other
Which two teams have the same ratio of wins to losses?
Answer:
Lightning and Eagles
Step-by-step explanation:
14:7 can be rewritten as 2:1 (Factor out 7)
12:6 can be rewitten as 2:1 (Factor out 6)
Both are 2:1
-- Gage Millar, Algebra 2 Tutor
Answer:
D.
Step-by-step explanation:
when you simplify 14:7 you get 2:1 and if you do the same to eagles(12:6) you will get the Same answer( 2:1 )as lightning
Using the picture above Find the measure of arc EF
Given:
Measure of arc CG is 125 degrees.
The measure of angle CDG is 85 degrees.
To find:
The measure of arc EF.
Solution:
Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using the intersecting chords theorem, we get
[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]
Let x degrees be the measure of arc EF.
Substituting the given values, we get
[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]
[tex]2\times 85^\circ=125^\circ+x[/tex]
[tex]170^\circ -125^\circ=x[/tex]
[tex]45^\circ=x[/tex]
Therefore, the measure of arc EF is [tex]45^\circ[/tex].
Find the surface area of the rectangular prism
PLEASE HELP ALL LINKS GIVEN WILL BE REPORTED
Answer:
- 13
Step-by-step explanation:
[tex]log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } \\ \\ = log( {a}^{6} {b}^{6} ) - log {c}^{7} \\ \\ = 6log \: a + 6log \: b - 7log \: c \\ \\ = 6(2) + 6( - 3) - 7(1) \\ \\ = 12 - 18 - 7 \\ \\ \therefore \: log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } = - 13[/tex]
7x+8y= 8
Slope
Y intercept
Answer:
Slope = -7/8
Y-intercept = (0, 1)
Step-by-step explanation:
Answer:
[tex]slope = - \frac{7}{8} [/tex]
y- intercept= 1
Step-by-step explanation:
Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.
7x +8y= 8
8y= -7x +8
Divide by 8 on both sides:
[tex]y = - \frac{7}{8} x + 1[/tex]
Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.
Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.
7x +8y= 8
When x= 0,
7(0) +8y= 8
8y= 8
y= 8 ÷8
y= 1
Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).
Note: slope and gradient have the same meaning and can be used interchangeably
can you please explain how i can work through these problems?
Chandra needs to make 3 gallons of punch. How many cups of frozen strawberries are needed? Use the drown-down menus to complete the answer.
The number of cups of frozen strawberries that are needed to make 3 gallons of punch is equal to 48 cups.
How to calculate the cups of frozen strawberries needed?In this exercise, you're required to determine the number of cups of frozen strawberries that are needed to make 3 gallons of punch. Thus, we would apply direct proportion.
Note: There are 16 cups of frozen strawberries in a gallon.
By direct proportion:
16 cups = 1 gallon
X cups = 3 gallons
Cross-multiplying, we have:
X = 16 × 3
X = 48 cups of frozen strawberries.
Read more on direct proportion here: brainly.com/question/1266676
#SPJ1
Can someone answer this please
Answer:
<COB = 50°
Step-by-step explanation:
We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:
3x + 94 + x + 18 + 2x - 4 = 180
Then, we can combine like terms:
6x + 108 = 180
6x = 72
x = 12
We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:
m<COB = m<COD + m<DOB
m<COB = x + 18 + 2x - 4
m<COB = 3x + 14
We have the value of x, so we can substitute that in:
<COB = 3(12) + 14
<COB = 36 + 14
<COB = 50°
What are fees paid to the lender before it releases a check for the home
purchase called?
A. Nonrecurring fees
B. Home fees
C. Recurring fees
D. Closing costs
SUBMIT
you roll a six sided die two times. What is the probability of rolling a 4 then rolling a 2?
Answer: 1/36
Step-by-step explanation:
Rolling a 4: 1/6 (one favorable outcome, six possible outcomes)
Rolling a 2: 1/6 (one favorable outcome, six possible outcomes)
1/6*1/6 = 1/36
Due to budget cuts the Fire Department only has one ladder which is 35 feet long. While rescuing a damsel from a burning house the ladder must be 12 feet from the base of the house. How high up the house can the ladder reach?
a. Draw a diagram that models the situation. Be sure to label it.
b. Write an equation that models the situation and solve it.
Answer:
good luck always brings luck the answer is 12
Step-by-step explanation:
Find the measure of angle x
Answer:
Angle x would be equal to the sum of its two opposite angle
x= 47 + 110
x= 157°
how do i do this? i don’t know how
The 3 inside angles of a triangle need to equal 180 degrees.
Add the 3 together to equal 180:
X + 2x + x+ 14 = 180
Combine like terms:
4x + 14 = 180
Subtract 14 from both sides:
4x = 166
Divide both sides by 4
X = 41.5
Answer:
Fraction form: x = 83/2
Decimal form: x = 41.5
Step-by-step explanation:
The 3 angles inside the triangle will always add up to 180 degrees.
So that gives us the equation:
x + 14 + x + 2x = 180
Combine like terms:
4x + 14 = 180
Subtract on both sides:
4x = 166
Divide:
41.5
An office upgrades its internet speed from 10^4 bits per second to 10^8 bits per second. How many times greater is the new internet speed?
x = 15, x = 5; (0.75)
Answer:
12
Step-by-step explanation:
12 is 75 of 15 %^%^%^%^^^___<<<7<
Please someone please helps me with this question pls
I own 1 mini fish and 2 giant fish each giantfish weighs 3 times as much as minfish. If my mini fish eats my two giantfish, then how many times more weight will my mini fish have now than before
Answer: 6 pounds
Step-by-step explanation:
Answer:
The mini fish would weigh 6 times its original amount hypothetically but if we were talking realistically then you would need more information to figure that out. But even then there's no way of determining the specific weight.
Step-by-step explanation:
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.
The length of PQ is ____ ft.
Given:
In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.
To find:
The measure of side PQ.
Solution:
In ΔOPQ,
[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex] [Angle sum property]
[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]
[tex]m\angle P+116^\circ=180^\circ[/tex]
[tex]m\angle P=180^\circ -116^\circ[/tex]
[tex]m\angle P=64^\circ[/tex]
According to Law of Sines, we get
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using the Law of Sines, we get
[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]
[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]
Substituting the given values, we get
[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]
[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]
[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]
[tex]2.38989=PQ[/tex]
Approximate the value to the nearest tenth of a foot.
[tex]PQ\approx 2.4[/tex]
Therefore, the length of PQ is 2.4 ft.
Question 1 of 10
Which best describes the meaning of the statement "If A, then B?
A. If A is false, then B must be false.
B. If A is false, then B might be false.
ОО ОО
C. If A is true, then B might be true.
D. If A is true, then B must be true.
SUBMIT
Answer:
I believe it would be D
Step-by-step explanation:
Since it implies that if A is true, then B is true, it would be D.
"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.
Hence my choice of D.
I am a 3-digit number divisible by 7, but not 2. The sum of my digits is 4. Hint it is not 121
Answer:
301
Step-by-step explanation:
3 + 0 + 1 = 4
301 / 7 = 43
301 / 2 = 105.5
Answer:
301
Step-by-step explanation:
301 divided by 7 = 43
301 is not divisible by 2
3 + 1 + 0 = 4
Hope this helps :)
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8. If they have three children, what is the probability that exactly two of their three children will have that trait? Round your answer to the nearest thousandth
Answer:
0.384 = 38.4% probability that exactly two of their three children will have that trait.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have the trait, or they do not. The probability of a child having the trait is independent of any other child. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8.
This means that [tex]p = 0.8[/tex]
Three children:
This means that [tex]n = 3[/tex]
What is the probability that exactly two of their three children will have that trait?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{3,2}.(0.8)^{2}.(0.2)^{1} = 0.384[/tex]
0.384 = 38.4% probability that exactly two of their three children will have that trait.
A marathon had 567 runners registered. Of these runners, about 0.7% completed the race in under 2 h 12 min. How many runners completed the race in this time?
Answer:
3
Step-by-step explanation:
If 2/3x -1 = 4, then x=
Answer:
15/2
Step-by-step explanation:
2/3x-1=4
2/3x=4+1
2/3x=5
x=5/(2/3)
x=(5/1)(3/2)
x=15/2
The owner of a home cleaning company provides her customers with?
A) Promotion
B) Services
C) Brand Name
D) Places
Answer:
Step-by-step explanation:
services
A regular hexagon has a perimeter of 127 m. Find its area to the nearest tenth.
Answer:
1164.01
Step-by-step explanation:
First you realize there is 6 sides on a hexagon. Then, you divide the 127 by 6. Then you split the hexagons into 6 parts. This leads you to a triangle. Then if you divide the degrees so 360 total degrees/6 parts = 60. If you split that triangle in half, the angle becomes 30 degrees. Then you will realize the 30 degree is pointed at the 127/12. Because you know the x, (x)(Square root 3), 2x theorem (the 30, 60, 90 triangle), you get the height of the triangle which is about 18.33 . Then you do the area of Triangle = 1/2 * base * height. Therefore you should get 194.00 Because there is 6 parts to a hexagon, you then need to multiply by 6. Your final answer should be 1164.01. This should be correct, please correct me if I’m wrong, thanks.
Solve: 4 (x + 2.5) = 48
Answer:x=19/2
Step-by-step explanation:
4(x+2.5)=48
Step 1: Simplify both sides of the equation.
4(x+2.5)=48
(4)(x)+(4)(2.5)=48(Distribute)
4x+10=48
Step 2: Subtract 10 from both sides.
4x+10−10=48−10
4x=38
Step 3: Divide both sides by 4. 4x/4 = 38/4 = 19/2
Answer:
4(x + 2.5) = 48.
4x + 4 x 2.5 = 48.
4x + 10 = 48.
4x + 10 -10 = 48 -10
4x = 38
Divide both sides by 4.
X = 9.5.
X = 10 if approximated.
Which transformations will map the figure onto itself?
a. reflection across one of the lines of symmetry of the figure.
b. rotation of 180 degrees about the center of the figure.
c. translation of two units to the left and two units down.
d. rotation of 90 degrees about the center of the figure.
Answer:
a. reflection across one of the lines of symmetry of the figure.
Step-by-step explanation:
What is 3x73 I need some help.
Answer:
219
Step-by-step explanation: