Answer:Answer: For the first question it is basically half of the polygon.
Step-by-step explanation:
If you count the units, for example one of the side is 4 units. What is half of 4. It is 2
An arrow is fired from a raised platform. Its height as a function of time is given by
h=-5t? + 10t + 40, where t is the time in seconds and h is the height, in metres.
a) Determine the height of the platform.
b) Find the length of time the arrow is in the air.
c) When will the arrow reach its maximum height? What is the maximum height of
the arrow?
d) When does the arrow have a height of exactly 45m above the ground?
Answer:
(a) 40 m
(b) 4 seconds
(c) 1 second, 45 m
(d) 1 second
Step-by-step explanation:
The given height as a function of height is
[tex]h= -5t^2+10t+40[/tex]
where t is the time in seconds and h is the height, in meters.
(a) At the starting time, t=0, the arrow is at the platform.
So, putting t=0, to get the height of the platform
[tex]h= -5(0)^2+10(0)+40 = 40[/tex] m
(b) For determining the length of time the arrow is in the air, first t determining the value of t for which h=0, we have
[tex]-5t^2+10t+40=0 \\\\-t^2+2t+8=0 \\\\-t^2+4t-2t+8=0 \\\\-t(t-4)-2(t-4)=0 \\\\(-t-2)(t-4)=0 \\\\[/tex]
t=-2, t=4
Mathematically, the value of t for which the arrow is in the air is the time from -2 to 4 seconds.
But the arrow was at the platform at time t=0. So, neglecting the negative time, the time for which the arrow was in the air is the time from 0 to 4 seconds, i.e 4 seconds.
(c) Mathematically, the value of t for which the arrow is in the air is the time from t=-2 to t=4 seconds. So, in the middle of time, i.e at t=1 second the arrow will reach the maximum height.
Putting t=1 to get the maximum height, we have
[tex]h=-5(1)^2+10(1)+40[/tex]
h=-5+10+40
h=45 m
Therefore, the maximum height is 45 m at t=1 second.
(d) Referinf option (c), at the time, t=1 second, the arrow has a height of exactly 45m above the ground
Factor the expression using the GCF.
7+14 =
Answer:
Step-by-step explanation:
So it’s 201
A farmer plants a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the
crop. He decides to take a simple random sample of the crop. He numbers each plant 1-100 and randomly picks 10
unique numbers. He then counts the number of ears of corn on these 10 plants and multiplies by 100. Which of the
following statements is not true about the sample?
Each plant had an equal chance of being selected.
O The sample of 10 plants was a simple random sample.
O The sample of 10 plants was a census of the corn plants.
O Each sample of 10 had an equal chance of being selected.
Answer:
The statement which is not true about the sample is;
The sample of 10 plants was a census of the corn plants
Step-by-step explanation:
The statement out of the given statements which is not true about the sample is "The sample of 10 plants was a census of the corn plants"
The 10 unique number corn which the farmer randomly selects of which he then count the number of ears in the corn and multiply by 100 so as to quickly arrive at an estimate of the total number of ears of corn for the crop, without individually counting the ears on each plant from the 100 plants
A census is a counting and individual enumeration procedure to collect and record characteristic information and details of the all the members that make up a given population
Therefore, the farmer is finding an estimate of the number of ears of in the plants rather than taking a census of the ears of corn on each plants in the population of 100 plants
Answer:
The sample of 10 plants was a census of the corn plants.
Step-by-step explanation:
The person above me is correct. I am taking the test review.
PLEASE HELP!!iILL GIVE U 20 POINTS what is -4x+2(3x-6)
Answer:
2x +12
Step-by-step explanation:
-4x + 6x -12
how many solutions does the following system of equations have y=5/2x+2 2y=5x+8
Answer:
No solution
Step-by-step explanation:
Hope this helps. Pls give brainliest.
sec^4A+ tan^4A = 1 + 2tan^2A sec^2A
please help me solving it
Answer:
true
Step-by-step explanation:
sec^4A-2tan^2Asec^2A+tan^4A=1
(sec^2A-tan^2A)^2=1
1^2=1
which is true
i will give brainlest
Answer:
Five
Step-by-step explanation:
Answer:
3(5-y)=4
Step-by-step explanation:
Tom paid $2.50 for two pounds of boiled peanuts. Rose paid $9.50 for 8 pounds of boiled peanuts. Is the relationship between these two purchases proportional?
i need help with number 5
Answer:
-6 is the answer.
Step-by-step explanation:
4x - 5 = x - 23
or, 4x - x = -23 + 5
or, 3x = -18
or, x = -18/3
therefore, x = -6
Answer:
the answer is (3)
Step-by-step explanation:
4x - 5 = x - 23
i) bring -5 to the right-hand side and change its sign4x = x - 23 + 5
ii) calculate the value4x = x - 18
iii) bring x to the left-hand side and change its sign4x - x = -18
iv) calculate the value3x = -18
v) divide both sides of the equation by 3[tex] \frac{3x}{3} = \frac{ - 18}{3} [/tex]
[tex]x = - 6[/tex]
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Answer:
(3x + 4)²Step-by-step explanation:
1) Your number = x
2) Multiply it by 3 = 3x
3) Add 4 = 3x + 4
4) Square the result (quantity square) = (3x + 4)²
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
There are 7 crawfish in Gumbo's family. They want to ride the Ferris wheel at the fair. Only 2 crawfish will be able to sit in each seat on the Ferris wheel. How many seats
will it take for Gumbo's family to ride the Ferris wheel? (One will ride alone.)
5
4
2
3
Step-by-step explanation:
first you go by counting by 2s and when your done it says one will ride alone so minus 1 that is 5 so the answer will be 5
Solve the following system using substitution
x − 5 y = 32
2 x − 9 y = 57
Answer:
x= - 3 and y= - 7
Step-by-step explanation:
Answer:
X = -3
Y = -7
Step-by-step explanation:
Hope this helps. Pls give brainliest.
5x – 6 = 4x - 12
5x-6=4x-12
Answer:
x = -6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
5x - 6 = 4x - 12
Step 2: Solve for x
Isolate x terms: x - 6 = -12Isolate x: x = -6Work out m and c for the line:2y+3x=5
Step-by-step explanation:
General line equation: y = mx + c.
2y + 3x = 5
2y = -3x + 5
y = -1.5x + 2.5
Hence m = -1.5 and c = 2.5.
[tex]\tt m=-\dfrac{3}{2}\\\\c=\dfrac{5}{2}[/tex]
Further explanationGiven
The line equation
2y+3x=5
Required
m(gradient) and c(constant)
Solution
The two-variable linear equation is a linear equation that has 2 variables and the exponent is one
ax+by=c
We change the equation in standard form : y = mx + c
[tex]\tt 2y=-3x+5\\\\y=-\dfrac{3}{2}x+\dfrac{5}{2}[/tex]
Gradient :
[tex]\tt -\dfrac{3}{2}[/tex]
Constant :
[tex]\tt \dfrac{5}{2}[/tex]
Solve 3/4 x + 3 1/2=4/5x
h(x)= x^3 - 2x and g(x)= 3x +5 Find (h-g)(x)
Answer:
(h-g)(x) = x^3 - 5x -5
Step-by-step explanation:
h(x)= x^3 - 2x and g(x)= 3x +5
(h-g)(x) = x^3 - 2x -( 3x +5)
Distribute
(h-g)(x) = x^3 - 2x - 3x -5
Combine
(h-g)(x) = x^3 - 5x -5
An 8% increase from $7.50 per hour is
Answer:
$ 8.10
Step-by-step explanation:
8% from $ 7.50 is $ 0.60
$ 7.50 x 8/100 = $ 0.60
$ 7.50 + $ 0.60 = $ 8.10
Which of the following equations is equivalent to 2 + x + 2x = 14? A 4X E 14 B 3x = 12 C 3x = 16 D 1x = 12
Step-by-step explanation:
2 + x + 2x = 14
3x + 2 = 14 (combine like terms)
3x = 12 (subtract 2 from both sides)
Hence the answer is 3x = 12. (B)
1. What is 8 3/5 - 2 1/3
2. 4/25 x 15/16
3. 2/34 x 8
4. 6 5/8 x 3 1/2
5. 7/9 divided by 2/3
6. 5 2/3 divided by 2 5/6
The list below shows the results of a survey of favorite ice-cream flavors among middle-school students.
• 18 students voted for chocolate
• 12 students voted for strawberry
• 20 students voted for vanilla
What percentage of the students chose vanilla as their favorite ice-cream flavor?
Answer:
40%
Step-by-step explanation:
18+12+20=50
20/50×100=
40%
The percentage of the students who chose vanilla as their favorite ice cream flavor will be 40%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The rundown underneath shows the consequences of a review of the most loved frozen yogurt flavors among center school understudies.
18 understudies decided in favor of chocolate12 understudies decided in favor of strawberry20 understudies decided in favor of vanillaThe total number of students is given as,
Total = 18 + 12 + 20
Total = 50
Then the percentage of the students who chose vanilla as their favorite ice cream flavor will be given as,
P = (20 / 50) x 100
P = 0.40 x 100
P = 40%
The percentage of the students who chose vanilla as their favorite ice cream flavor will be 40%.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
Alisha needed 3/4 L of gasoline to mow the lawn. There was 3 3/4 L of gasoline in the container. How many times can she mow the lawn before refilling the container?
Answer:
Alisha can mow the lawn 5 times before refilling the container.
Step-by-step explanation:
We have the total amount of gas to mow the lawn and the amount needed to mow one lawn, so we need to divide.
3 3/4 divided by 3/4 =5
Therefore she can mow the lawn 5 times before refilling the container.
which of the following expressions are equivalent to -6+4q=(-6q)
choose all that apply
A.-6(q+1)-4q
B.29q-3)
C.none of above
Solve the equation by factoring.
4x2 + 8x = 21
Answer:
answer =3/2 or x = -7/2
Step-by-step explanation:
....
i need help with questions 9
Answer:
2
Step-by-step explanation:
IXL -8th grade math W.14
Larry had already read 11 books this year before joining a book club, and he plans to read 1 book every month now that he has joined. If Larry has read 28 books so far, how many months has he been with his book club?
Answer with the number of months he has been in the book club.
Answer:
I think seventeen months
I need help with math
Step-by-step explanation:
Q1
A. x must be 0
B. x can be any number. it because every number times by 0 will be 0
Q2
(2⁸ . 5-⁵ . 19⁰)-² . (5-²/2³)⁴ . 2²⁸ =
2-¹⁶ . 5¹⁰ . 1 . 5-⁸ . 2-¹² . 2²⁸ =
2-¹⁶-¹²+²⁸ . 5¹⁰-⁸ =
2⁰ + 5² = 25
Q3
4.55 x 10¹³ - 1.78 x 10¹² =
45.5 x 10¹² - 1.78 x 10¹² =
43.72 x 10¹²
4,37 x 10¹³ kg
Q4
A. 3.9 x 10³³ ergs/s x 2.45 x 10⁵ s = 9.555 x 10³⁸
or in scientific we can write 9.56 x 10³⁸ ergs
B. 7.4 x 10-³ mm. Because the blood cell is a tiny part in.our body. it's impossible to have a cell blood of 7.4 x 10³ mm or 7.4 meters in diameter
if the radius of a circle is 7 in what is the Circumference?
What is the Area of the circle?
Step-by-step explanation:
Circumference =perimeter so
perimeter of a circle is 2 pie r
Ten percent of 640 is what number?
64
128
160
320
Answer: 64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
Ten percent of 64 is the same as;
0.1 * 640
= 64
Pls help me with 1 and 2 plzzzz
Answer:
1. First choice, 1/2
2. First choice, 1/2
Step-by-step explanation:
3 odd numbers on a dice, so 3/6 = 1/2
12 numbers, 1- 12, the even numbers are 2, 4, 6, 8, 1-, and 12. 6 out of 12 = 6/12 = 1/2
A pizza restaurant used its final 1/3 of a liter of pizza sauce to make some pizzas. They put 1/6 of a liter of sauce on each pizza. How many pizzas did they make? *
Answer:
2
Step-by-step explanation:
Given that:
Number of pizzas made = x
Total pizza sauce left = 1/3 L
Amount of sauce used on each pizza made = 1/6 L
Hence , Number of pizza's made ;
(Total pizza sauce left / amount of sauce used per pizza made)
= (1/3 L) ÷ (1/6)L
= 1/3 * 6/ 1
=6 / 3
= 2
Hence, number of pizza's made = 2