Answer:
Between 4 and 5
Step-by-step explanation:
The closest square numbers are 16 and 25, so it’s in between 4 and 5
1. The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter. Find or approximate the time when the object hits the ground. Explain your method.
2.The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
From what height is the object dropped? Explain how you know.
Answer:
Step-by-step explanation:
Let's FOIL this out and get it into standard form. That gives us:
[tex]h(t)=-4.9t^2+490[/tex] For #1, then:
The height of something when it is on the ground is 0; that means that the h(t) is 0. This allows us to factor the quadratic and solve for t:
[tex]-4.9t^2=-490[/tex] and divide both sides by 4.9 to get
[tex]t^2=100[/tex] so
t = 10. Notice that one of the factors for that quadratic is 10 - t. That factor represents the time it takes to hit the ground. So you might ask why, then, we FOILed this out in the first place if the answer was ight in front of our noses. The reason is becase of #2 that is asking us what the initial height of the object was. That is found in the standard form...in the constant in particular. The initial height is 490 m. That's how you know (because the constant represents the height from which an object is dropped in either free fall, which this is, or in parabolic motion).
plzz help i only have like 5 minssssss
What is the volume of this rectangular prism if an edge of each cube is 1 cm?
Answer:
your answer is D. 24 cubic cm
Step-by-step explanation:
your welcome good day :)
Help plzzzz !!!!!!!!!
The denominator of a fraction is greater than its numerator by 7. If
the numerator is increased by 1 and the denominator is increased by
4, the fraction becomes 1/3
. Find the original fraction.
Answer:
4/11
Step-by-step explanation:
Let :
x = numerator
x + 7 = denominator [tex]\frac{x}{x + 7}[/tex]
[tex]\frac{x}{x+7} + \frac{1}{4} = \frac{1}{3}[/tex]
[tex]\frac{x + 1}{x + 11} = \frac{1}{3}[/tex]
cross multiply
3(x + 1) = x + 11
3x + 3 = x + 11
combine like terms
3x - x = 11 - 3
2x = 8
x = 4
x + 7 = 4 + 7 = 11
original fraction = 4/11
Can someone help me which expression is equal to 16
Answer:
D.(4^1/2)^4
hope this helps
have a good day :)
Step-by-step explanation:
How many centimeters are there in 0.5 inches?
Answer:
1.27 centimeters
Step-by-step explanation:
brainliest??
A woman invested 4 times much at 4% as she did at 9%. The total amount of interest she earns in 1 year from both accounts is $500. How much did she invest at each rate?
Answer:
$2,000 at 9%
$8,000 at 4%
Step-by-step explanation:
(4x * .04) + (x * .09) = 500
.16x + .09x
.25x = 500
x = $2,000 at 9%
4x = $8,000 at 4%
Answer:
2000 at 9%
8000 at 4%
Step-by-step explanation:
Let the principle at 9% = x
The principle at 4% = 4*x
Together they give 500 dollars.
9% = .09
4% = ,04
Both are invested for 1 year
0.09 * 1 * x + 0.04 * 1 * 4x = 500
0.09x + 0.16x = 500
0.25x = 500
x = 500 / 0.25
x = 2000
She invested 2000 at 9%
She invested 4 * 2000 at 4%
What is the 100th term of the sequence with a1=222 and d=-5
Answer:
--273
Step-by-step explanation:
100th term is equal a1 + 99d so
100th term = 222 + (-5×99) = -273
Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?
x = –1, x = 11
x = –1, x = –11
x = 14, x = –26
x = 26, x = –14
Answer:
x = -1 , - 11,
Step-by-step explanation:
| x | = x
|- x | = x
f(x) = 2 | x + 6 | - 4
x = - 1 , f( - 1) = 2 | - 1 + 6 | - 4 = 2 | 5 | - 4 = 10 - 4 = 6 , True
x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False
x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False
x = - 11, f( - 11) = 2 | -11 + 6 | - 4 = 2 | - 5 | - 4 = 10 - 4 = 6 , True
x = 14 , f( 14 ) = 2 | 14 + 6 | - 4 = 2 | 20 | - 4 = 40 - 4 = 36 , False
x = -14 , f( - 14 ) = 2 | - 14 + 6 | - 4 = 2 | - 8 | - 4 = 16 - 4 = 12 , False
x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False
x = 26, f( 26 ) = 2 | 26 + 6 | - 4 = 2 | 32 | - 4 = 64 - 4 = 60 , False
OR
Given f ( x ) = 6
f( x ) = 2 | x + 6 | - 4
6 = 2 | x + 6 | - 4
6 + 4 = 2 | x + 6| - 4 + 4 [ adding 4 to both sides ]
10 = 2 | x + 6 | + 0
5 = | x + 6 | [ dividing both sides by 2 ]
[tex]- 5 =\ ( x+ 6) \ = 5\\\\[/tex] [tex][ \ | x | = a\ => \ -a \ = x \ = a \ ][/tex]
[tex]- 5 - 6 = \ x + 6 - 6 \ = \ 5 - 6\\[/tex] [tex][ \ subtracting \ by \ 6 \ ][/tex]
[tex]-11 = \ x \ = - 1[/tex]
what is a three digit number for 100,10,1
Answer:
111
hope that helps!
Warm-Up
Construct a perpendicular bisector to PQ
by following these steps.
1. Move the compass center to P and
draw a long arc that intersects PQ.
Then move the compass to Q and
draw an arc that intersects the first
arc in two places.
Note that the perpendicular bisector to line PQ is constructed and attached accordingly. Here is how to do it.
Note that the first stage is to draw a line PQ. But this has already been done.
Next is to place the compass on P as shown in the image above. If you allow you compass (locked at the same degree) to rotate about point P, you will get a circle. However, that is not the objective.
If you also place your compass on point Q, locked to the same degree as when it was on P, and take a rotation around point Q, you will also get a circle.
At some point, you will notice that both circles intersect at two point, which we can call AB₁ and AB₂.
Now you are done with the compass. Take up your ruler, and place it such that it meet both AB₁ and AB₂ but allowing you space to mark a line connecting both points.
Next, using your live or online pencil tool, draw the line from AB₁ to AB₂. Now you have the Perpendicular bisector which you can call AB₁₂.
Note that a perpendicular bisector is a line or plane that intersects a line segment at its midpoint, forming a right angle and dividing the segment into two equal parts.
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Which of the following terms can be combined in this expression?
13 minus x over 5 + 6.2 y + 20.5 x minus 3 over 8 y
Negative 13 can be combined with 20.5.
6.2 y can be combined with 20.5 x.
6.2 y can be combined with Negative 3 over 8 y.
Negative x over 5 can be combined with Negative 3 over 8 y.
Given:
Consider the expression is:
[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]
To find:
The like terms that can be combined in this expression.
Solution:
Two terms are called like terms, if they have same variables of same degree.
We have,
[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]
In the given expression, the pairs of likes terms are:
Pair 1: [tex]-\dfrac{x}{5}[/tex] and [tex]20.5x[/tex]
Pair 2: [tex]6.2y[/tex] and [tex]-\dfrac{3}{8}y[/tex]
It means [tex]-\dfrac{x}{5}[/tex] can be combined with [tex]20.5x[/tex] and [tex]6.2y[/tex] can be combined with [tex]-\dfrac{3}{8}y[/tex].
Therefore, the correct option is C.
PLEASE HELP RN!! if any of you guys see this please help
Answer: A.46
Step-by-step explanation: because it jus is dawg
after reading the directions to paint,on the paint drum, the information indicated two coats of paints is required when using the 5 liter paint and one coat with the 20 liter drum. With both paints 1 litre of paint covers 9 meter squared.
There are 28 rooms to be painted.Show with calculations which will be cheaper paint to buy
A rectangle has vertices E(4,8), F(2,8), G(2,-2) and H(-4,-2). The rectangle is dilated with the origin as the center of dilation so that G's is located at (5,5). Which algebraic reprensentation represents this dilation
Note: The image of G after the dilation must be G'(5,-5) instead of G'(5,5).
Given:
The vertices of a rectangle are E(4,8), F(2,8), G(2,-2) and H(-4,-2).
The rectangle is dilated with the origin as the center of dilation so that G's is located at (5,-5).
To find:
The algebraic representation that represents this dilation.
Solution:
If a figure is dilated by factor k with origin as the center of dilation, then the dilation is defined as:
[tex](x,y)\to (kx,ky)[/tex] ...(i)
Let the given rectangle is dilated by factor k with origin as the center of dilation. Then,
[tex]G(2,-2)\to G'(k(2),k(-2))[/tex]
[tex]G(2,-2)\to G'(2k,-2k)[/tex]
The image of G after dilation is G'(5,-5). So,
[tex](2k,-2k)=(5,-5)[/tex]
On comparing both sides, we get
[tex]2k=5[/tex]
[tex]k=\dfrac{5}{2}[/tex]
So, the scale factor is [tex]k=\dfrac{5}{2}[/tex].
Substituting [tex]k=\dfrac{5}{2}[/tex] in (i), we get
[tex](x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)[/tex]
Therefore, the required algebraic representation to represents this dilation is [tex](x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)[/tex].
Please help it's urgent!Need help quick!
Answer:
Solution
Step-by-step explanation:
Hope this helped :)
Take away the volume of 480 from the volume of 3240 What is the answer? [PLEASE I NEEEEEEDDDDD IT NOWWWWWWWW PLEASEEEEEE
Answer: 2760
Step-by-step explanation:
Which of these is an example of typing at a rate of 42 words per minute?
A typing 21 words in 2 minutes
B typing 84 words in 3 minutes
C typing 210 words in 5 minutes
D
typing 400 words in 10 minutes
David had 74 pennies and then lost 18. Now he wants to buy a treat that costs 2 sevenths of the pennies he has left. How many pennies does the treat cost?
HELP ASAP PLEASEEEEE!!!
Answer:
16 pennies
Step-by-step explanation:
74 - 18 = 56
56 / 7 = 8
1/7 of the pennies is 8 pennies.
2/7 of the pennies are 16 pennies.
Answer:
18 pennies
Step-by-step explanation:
74-18=56
56/7=8
8x2=16
How do you know you're good at sleeping I need help
Answer:
You can do it with your eyes closed
Step-by-step explanation:
Why are (1, 2) and (2, 1) sot equal ordered pairs
Answer:
Step-by-step explanation:
(1,2) and (2,1) are not equal ordered pairs becasue their corresponding elements are not equal.
Two Ordered Pairs are said to be equal if the corresponding first components are equal alongside the corresponding second components are equal.
for example:
(3,1) and (3,1)
here corresponding element of 3 is 3 and of 1 is 1 .so they are called equal ordered pairs.
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
What is the marginal relative frequency of survey participants who are girls?
0.06
0.5
0.43
17
Using it's concept, it is found that the marginal relative frequency of survey participants who are girls is of 0.43.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that there were 2 + 3 + 5 + 4 + 3 + 8 + 2 + 6 + 4 + 3 = 40 participants, of which 17 are girls, hence the relative frequency is given by:
f = 17/40 = 0.425
Which is rounded to 0.43.
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Solve for the answer.
Let x=10
4x + 12=
(A) 0.52
(B) 5.2
(C) 52
Answer:
c 52
Step-by-step explanation:
x=10
4 ×10=40
40+12=52
find two consecutive whole numbers
Answer:
9 and 10
Step-by-step explanation:
square root of 86 is 9.2 (ish)
The heights of 20-year-old females are normally distributed with a mean of 64 inches
and a standard deviation of 2 inches. What is the z-score for a height of 67 inches?
Answer:
1.5
Step-by-step explanation:
Applying,
Z = (x-μ)/σ................. Equation 1
Where Z = Z score for a height of 67 inches, x = height, μ = mean of the height, σ = standard deviation of the height.
From the question,
Given: x = 67 inches, μ = 64 inches, σ = 2 inches.
Substitute these values into equation 1
Z = (67-64)/2
Z = 3/2
Z = 1.5
I am making two kinds of cookies: chocolate chip and lemon cookies.
(a)
Chocolate Chip Cookies
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
I can make
batches of chocolate chip cookies.
You may use the scratchpad to show your work.
(b) Lemon Cookies
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
I can make
batches of lemon cookies.
You may use the scratchpad to show your work
Enter your answer as a fraction
Uhh sorry to bother again I’ve had no motivation haven’t been paying attention so uh yea
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The chocolate cookies is given as:
Number of chocolate cookies = 5.50 cups / 0.25 cup per cookie = 22
The lemon cookies is given as:
Number of lemon cookies = 5.50 cups / 0.75 cup per cookie = 7
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
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Answer pls
Maths questions
Attached paper question (Answer pls)
Answer:
25 wanted ice cream 10 wanted coffee 3/5 wanted ice tea^^the question above in the photo
Answer:
11
Step-by-step explanation:
Please help me, I don’t understand how I keep getting it wrong!
9514 1404 393
Answer:
1.2 t/m³
Step-by-step explanation:
1 tonne is 1 Mg = 10⁶ g
1 m³ is (100 cm)³ = 10⁶ cm³
The conversion is ...
(1.2 g/cm³) · (1 t)/(10⁶ g) · (10⁶ cm³)/(1 m³)
= 1.2(10⁶)/(10⁶) t/m³
= 1.2 t/m³
__
For this conversion, the numerical value does not change. Megagrams per cubic meter is the same ratio as grams per cubic centimeter.
what is. perfect square
Answer:
a four sided parallelogram where all angles are the same and all sides are the same length