Answer:
c. o.5seconds
Step-by-step explanation:
y=-16t^2 +4t+2
=-2(8t^2 -2t-1)
=-2(8t^2 -4t+2t-1)
as the object hits the ground y =0
0 =-2(4t+1)(2t-1)
(4t+1)(2t-1)=0
t=-1/4 meangless
t=1/2
=0.5seconds
The time at which the object hit the ground is 0.5 second.
The correct option is (C).
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given:
y= -16t² +4t+2
Now, the time at which the object hit the ground
y = 0
-16t² +4t+2 = 0
-2(8t² -2t-1) = 0
8t² -2t-1 = 0
8t² -4t + 2t -1 = 0
(4t+1)(2t-1) = 0
So, 4t+ 1= 0 or 2t- 1=0
t= -1/4 or t = 1/2.
Hence, the object will hit the ground at t= 0.5 second.
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A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
The actual area of the apartment will be 960 square feet.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
A blueprint shows an apartment with an area of 15 square inches.
If the blueprint's scale is 1 inch : 8 feet.
Then the scale factor will be 8/1 feet per inch.
Then the actual area square footage of the apartment will be
Actual area = 15 x (scale factor)²
Then the actual area of the footage will be
Actual area = 15 x (8/1)²
Actual area = 15 x 64
Actual area = 960 square feet
Thus, the actual area of the apartment will be 960 square feet.
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The student council raised $150 during the school dance if they charge $3per ticket and received $24 in other donations what is the amount of tickets they sold?
What is the perimeter of triangle ABC?
12 units
13 units
14 units
18 units
\
Step-by-step explanation:
Here
A(-2,6)B(1,2)C(-2,-2)Now,
[tex]\\ \tt\hookrightarrow AB=\sqrt{(-2-1)^2+(6-2)^2}[/tex]
[tex]\\ \tt\hookrightarrow AB=\sqrt{(-3)^2+(4)^2}[/tex]
[tex]\\ \tt\hookrightarrow AB=\sqrt{9+16}[/tex]
[tex]\\ \tt\hookrightarrow AB=\sqrt{25}=5units[/tex]
And,
[tex]\\ \tt\hookrightarrow BC=\sqrt{1+2)^2+(2+2)^2}[/tex]
[tex]\\ \tt\hookrightarrow BC=\sqrt{(3)^2+(4)^2}[/tex]
[tex]\\ \tt\hookrightarrow BC=\sqrt{9+16}[/tex]
[tex]\\ \tt\hookrightarrow BC=\sqrt{25}=5units[/tex]
And
[tex]\\ \tt\hookrightarrow AC=\sqrt{(-2+2)^2+(6+2)^2}[/tex]
[tex]\\ \tt\hookrightarrow AC=\sqrt{(0)^2+(8)^2}[/tex]
[tex]\\ \tt\hookrightarrow AC=\sqrt{8^2}=\sqrt{64}=8units[/tex]
Now
[tex]\\ \tt\hookrightarrow perimeter=5+5+8=18units[/tex]
What is the slope of the line graphed below? (-1,3) (-2,-1)
Answer:
the slope of (-1,3) (-2,-1) is 4
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. Be subdivided a portion of his land into 10 separate but essentially equal plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Below is a computer output for linear regression of amount of fertilizer versus yield for the 10 plots of land.
Predictor Coef SE Coef T P
Constant 10.100 0.7973 12.67 0.000
Fertiz 1.150 0.1879 6.12 0.000
Required:
What is the equation of the least squares regression line from this sample?
Answer:
The equation of line is
[tex]\text{yield}=1.15\times \text{fertilizer}+10.1[/tex]
Step-by-step explanation:
The general equation of line is given as
[tex]y=mx+b[/tex]
where
y is the dependent variable which is yield in this case.
x is the independent variable which is fertilizer in this case
m is the coefficient of the fertilizer whose value is 1.150 from the given values.
b is the constant whole value is 10.100 from the given values.
Thus the equation becomes.
[tex]\text{yield}=1.15\times \text{fertilizer}+10.1[/tex]
A tree farm has 70 rows of trees. The first row has 25 trees, the second
row has 30 trees, the third row has 35 trees, and so on. Let n be the
number of the row.
Write a function f(n) to represent the number of total trees in the nth
row. (gmm) pls help
Step-by-step explanation:
The function is:
[tex]f(n) = 25 + 5 \times (n - 1) \\ n \geqslant 1[/tex]
Abigail ordered a 32 oz steak that cost $60.
(cost to weight)
Solve the system of equations.
12x-5y = -20
y =x+4
Answer:
1. 12x-5y = -20 Answer: 2(picture)
2. y =x+4 Answer: 1(picture)
Step-by-step explanation: Hope this help :D
Farmer Bob can get 10 gallons of milk from 4 cows. How many gallons of milk can he get from 14 cows?
Answer:
40 gallons of milk
Step-by-step explanation:
trust me that's the answer
The farmer will get 35 gallons of milk from 14 cows.
Process:
1) find the unit rate. do this by taking the independent value and divide it by the dependent value
10/4=2.5
2) Take this number and multiply it by the next dependent value
2.5 x 14 = 35
Condense the logarithm
q log b + 3 log k
Answer:
a
Step-by-step explanation:
Answer:
[tex]log(\frac{a^{2} }{b^{3} } )[/tex]
Step-by-step explanation:
[tex]q[/tex] [tex]log[/tex] [tex]a -3log[/tex] [tex]b[/tex]
[tex]=log[/tex] [tex]a^{2} -log[/tex] [tex]b^{2}[/tex]
[tex]now[log[/tex][tex]a/b=log[/tex] [tex]a-log[/tex] [tex]b[/tex][tex]][/tex]
[tex]= log(a^{2} /b^{3)}[/tex]
[tex]--------[/tex]
hope it helps...
have a great day!!!
Solution set no links please
I believe that the answer is 11/4. I hope this helps!
Please answer someone!!!
Answer:
TrueStep-by-step explanation:
[tex]\sqrt{(xy)^3}[/tex] = [tex]((xy)^{1/2})^3[/tex] =[tex](xy)^{{1/2}*3}[/tex] =[tex](xy)^{3/2}[/tex]The answer is TRUE
True
Tools
Fill &. Sign
Comment
I
Topic: Profit and Loss
Ex: 7a, page no. 92
cost price
12
Q1. A man purchased a dozen pens for Rs 25 each and sold them at Rs 28
each. Find the total profit as well as the profit per cent on the transaction.
Ans. Solution:
Answer:
RS 36
12%
Step-by-step explanation:
Profit = total selling price - cost price
(28 - 25) x 12 = 36
Percentage profit = (profit / cost price) x 100
Cost price = 25 x 12 = 300
(36/300) x 100 = 12%
what is the measure of angle a enter your answer as a decimal in the box round only your final answer to the nearest hundredth
ANSWER.
The measure of angle A is 53.13°.
STEP BY STEP
Given,
ABC is a triangle,
In which m∠CBA = 90°, AB = 3 cm, BC = 4 cm and CA = 5 cm,
By the law of sine,
( By cross multiplication )
By substituting the values,
( sin 90° = 1 )
Hence, the measure of angle A is 53.13°.
How many solutions are there to the system
{y = 1/3x + 5
{x + 3y = 6
Answer:
there are 3 solutions which can be done by substitution method, elimination method,graphical method, 9f you need solution than contact me 8n comments I can show solutions
In triangle ABC, m∠A=(2x+2)∘, m∠C=54∘, and the exterior angle at B is (4x)∘.
Triangle A B C. Angle A is 2 X plus 2 degrees, angle C is 54 degrees, & the exterior angle at B is 4 X degrees.
© 2020 StrongMind. Created using GeoGebra.
What is the measure of angle A?
58∘
112∘
28∘
68∘
Answer:
112 ^0
Step-by-step explanation:
cant explains it very well
What are the values of the coefficients and constant term of 0 = 4 - 7x2 + x in standard form?
a =
b =
C=
Answer:
a = -7
b = 1
c = 4
Step-by-step explanation:
0 = 4 - 7x²+ x
-7x²+x+4 = 0
But
ax²+bx + c = 0
a = -7
b = 1
c = 4
Answer:
-7, 1, 4
Step-by-step explanation:
WILLL MARK BRAINLIEST IF GOTTEN RIGHT
Sorry for the changing answers, did the question too fast and misinterperted the diagram. The answer below is the correct one.
Answer:
mUC=70°
Step-by-step explanation:
The angle (87) formed by two chords (US and TS) is half the sum of the intercepted arcs(104 and mUC):
87=(1/2)(104+mUC)
174=104+mUC
mUC=70°
Please help I'll mark you as brainiest
The answer is going to be B
10% of $200,000 = $20,000
Each of two parents has the genotype green/blue, which consists of the pair of alleles that determine eye color, and each parent contributes one of those alleles to a
child. Assume that if the child has at least one green allele, that color will dominate and the child's eye color will be green
a. List the different possible outcomes. Assume that these outcomes are equally likely
b. What is the probability that a child of these parents will have the blue / blue genotype?
c. What is the probability that the child will have green eye color?
Step-by-step explanation:
what is the ability that the children will have green eyes collar
HELP ME PLEASE EDCITE !!!!
Answer:
I might be in highschool, but I'm sure I can still help.
Step-by-step explanation:
See the 45 degree angles? that means they're equal sides. So 4v2 = 5.65, right? so if you take 180 - 5.65, and then divide by two, you should have the length to each of those sides. They're equal, remember. So, the answer would be 180 - 5.65 = 174.35. 174.35 / 2 = 87.175. In this case, k = 87.175 :)
1
In a circle, the coordinates of the endpoints of
a diameter are (4,5) and (10,1). What are the
coordinates of the center of the circle?
Answer: (7,3)
Step-by-step explanation:
Find the midpoint of the diameter to find the center
mid-point formula
[tex](\frac{(x_{1} +x_{2)} }{2} ,\frac{(y_{1} +y_{2} )}{2} )[/tex]
Using points (4,5) and (10,1)
[tex](\frac{4+10}{2} , (\frac{5+1}{2} )\\(\frac{14}{2},\frac{6}{2}) \\\\(7,3)[/tex]
The coordinates of the center of the circle are (7, 3).
Given that, in a circle, the coordinates of the endpoints of a diameter are (4,5) and (10,1).
What is the midpoint of a line segment?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.
The formula to find the midpoint of line segment is (x, y) = [(x1+x2)/2, (y1+y2)/2]
The center of the circle is midpoint of a diameter
Here, (x, y) = ((4+10)/2, (5+1)/2)
= (14/2, 6/2)
= (7, 3)
Therefore, the coordinates of the center of the circle are (7, 3).
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the 11th term of an arithmetic sequence is 57 and the sum of the first and fourth term is 29. determine the first three terms of the sequence, the formular of nth term
Let a (n) denote the n-th term of the sequence. Since the terms form an arithmetic sequence, you have
a (n) = a (n - 1) + d
for some fixed constant d. You can write any term in the sequence as a function of the first term:
a (n) = [a (n - 2) + d] + d = a (n - 2) + 2d
a (n) = [a (n - 3) + d] + 2d = a (n - 3) + 3d
and so on, down to
a (n) = a (1) + (n - 1) d
so given that a (11) = 57 (so that n = 11), you have
a (1) + 10d = 57 … … … [1]
The sum of the first and fourth terms is 29:
a (1) + a (4) = 29
but we can write a (4) in terms of a (1) :
a (1) + [a (1) + 3d] = 29
which gives us another equation in a (1) and d :
2 a (1) + 3d = 29 … … … [2]
Now solve [1] and [2] :
-2 (a (1) + 10d) + (2 a (1) + 3d) = -2 (57) + 29
-17d = -85
d = 5
a (1) + 10d = a (1) + 50 = 57
a (1) = 7
Then the n-th term of the sequence is given by
a (n) = 7 + 5 (n - 1) = 5n + 2
please answer my questoins
What's the question?
MAX POINTS PLEASE HELp
part a. What are the values of x and y? If your answer is not a whole number, write it as a decimal and round to one decimal place if necessary.
part b:
Here is a triangular prism.
What is the volume of the prism, in cubic centimeters?
cubic centimeters
What is the surface area of the prism, in square centimeters?
cubic centimeters
Answer:
X=35 Y=73
Step-by-step explanation:
use the opposite angle theorem for x. X would equal 35.
we know that x is 35. So 2y+35=180
180-35=2y
y=72.5 or 73
srry I can’t help with question 2. I don’t know how
Round to The nearest hundred 554,695 help
Answer:
554,700
Step-by-step explanation:
I need help please tell the right answer
Answer: 47.6 is your answer hope this helped
plz make brainly
Step-by-step explanation:
Answer:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4Step-by-step explanation:
what is the area of the donut pictured below? use 3.24 for pi
What is the range of 5,4,6,3,4?
Answer:
Range=2
Step-by-step explanation:
Range=Highest number-Lowest number
=5-3=2
Hope it Help
Mark Me Brillainest
What’s the slope???? Please help meee!
Answer:
The slope is 0.
Step-by-step explanation:
Suppose we have two points in a data set, the slope is given by the change in the output divided by the change in the input.
In this question:
Two points: (0,-20) and (1,-20)
Change in the output: -20 - (-20) = -20 + 20 = 0
Change in the input: 1 - 0 = 1
Slope: 0/1 = 0
The slope is 0.