Answer:
[tex]2.5s[/tex]
Step-by-step explanation:
We are given a function which tells us at what time the rock is at a certain height. What should be the height of this function when the rock hits the ground? 0, because it has no height, it's on the ground!
So let's plug in 0, and see what value we get for the time.
[tex]0 = 16t^2-100\\100 = 16t^2\\\frac{100}{16} = t^2\\[/tex]
To solve for t we need to take the square root of both sides.
[tex]t = \sqrt{\frac{100}{16} } = \frac{10}{4} = 2.5s[/tex]
Solve: 3w + 2 = 20 Write a real world problem that this equation represents.
Step-by-step explanation:
3w + 2 = 20
-2 -2
------------------
3w = 18
---- ----
3 3
w = 6
You and your 2 friends have 20 fruits in total and your friend's mother gave you and your friends two more.
Hope this helped.
Equation – 3w + 2 = 20
Solution :3w + 2 = 20Transpose 2 to the right hand side of the given equation
3w = 20 - 2Now, simplify the right hand side
3w = 18Cross multiply
w = 18/3 w = 6Hence, the solution of the equation is 6
Instructions: Given the following coordinates complete the glide reflection
transformation.
A(-9,-2)
B(-9,-5)
C(-5,-4)
Transformation: Reflection over the y-axis and a translation of shifting up 5 units
Answer:
A(9,3)
B(9,0)
C(5,1)
Step-by-step explanation:
PLEASE HELP!!! I dont understand
Answer:
x^4+x^2+5
Step-by-step explanation:
f(x) = x^2 -3x+7
g(x) = x^2+2
f(g(x) = Place g(x) in for x in the function f(x)
= (x^2+2)^2 -3(x^2+2) +7
FOIL and Distribute
= x^4 +2x^2+2x^2 +4 - 3x^2 -6 +7
Combine like terms
= x^4+x^2+5
Is 5 a prime number
Answer:
yes
Step-by-step explanation:
A prime number is only divisible by 1 and itself in terms of natural numbers
5 is only divisible by 1 and 5 so it is a prime number
3.3 Is it possible that a vehicle could travel so fast that the trip could be done in no time at all? Give a reason for your answer.
Answer:
No.
Step-by-step explanation:
No matter how fast something is going it still takes a moment in time, even if it's only 1/10000 of a second.
Independent Practice
Write an explicit rule for a geometric sequence that has 1 as its first term and a common ratio of –4. What is the seventh term of this sequence?
A.
an=−4 · (1)n−1; −4a subscript n baseline equals negative 4 times left parenthesis 1 right parenthesis superscript n minus 1 baseline semi-colon negative 4
B.
an=−4 · (7)n−1; −470,596a subscript n baseline equals negative 4 times left parenthesis 7 right parenthesis superscript n minus 1 baseline semi-colon negative 470,596
C.
an=1 · (−4)n−1; 4,096a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n minus 1 baseline semi-colon 4,096
D.
an=1 · (−4)n; −16,384a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n baseline semi-colon negative 16,384
Answer: The Answer Is Letter B Or Letter C..... 12*4*2= 96
B.
an=−4 · (7)n−1; −470,596a subscript n baseline equals negative 4 times left parenthesis 7 right parenthesis superscript n minus 1 baseline semi-colon negative 470,596
C.
an=1 · (−4)n−1; 4,096a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n minus 1 baseline semi-colon 4,096
Step-by-step explanation: First Term: 2, Second Term: 6, Third Term: 18, Forth Term: 54, Fifth Term: 162
Geometric sequences and series
A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.
Example
Write the first five terms of a geometric sequence in which a1=2 and r=3.
We use the first given formula:
Just as with arithmetic series it is possible to find the sum of a geometric series. It is found by using one of the following formulas:
Video lesson
Use the formula for the sum of a geometric series to determine the sum when a1=4 and r=2 and we have 12 terms.
Zoe walks at a speed of 10 miles/h and jogs at a speed of 20 miles/h.
She goes to the park to walk 2 miles on a Monday. How long will she take to jog 2 miles?
Answer:
6 minutes
Step-by-step explanation:
20 miles jogs at 1 hour, so for 2 miles,
2/20
= 1/10 hours
= 1/10×60
= 6 minutes
Answered by GAUTHMATH
If (x + 1) is a factor of 2x - kx²-8x + 5, find the value of k.
[ Using Factor Theorem ]
Answer:
k = 11
Step-by-step explanation:
What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x = - 1
f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5
f(-1) = -2 - k(1) + 8 + 5 = 0
-k*(1) + 11 = 0
-k = -11
k = 11
Fill in each box with the probability of the event that it represents. The following questions can be answered using your area model.
pleeeeaaseee help!!!!
Answer:
[tex]a. \ \dfrac{1}{36}[/tex]
[tex]b. \ \dfrac{4}{9}[/tex]
[tex]c. \ \dfrac{5}{6}[/tex]
Step-by-step explanation:
The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2
The probability of rolling any of the six numbers of the six-sided die = 1/6
a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;
P(rolling a 3) = 1/6, P(Blue) = 1/6
∴ P(3 and Blue) = (1/6) × (1/6) = 1/36
P(3 and Blue) = 1/36
[tex]P(3 \ and \ Blue) = \dfrac{1}{36}[/tex]
b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;
P(rolling a 1) = 1/6, P(Orange) = 1/3
P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)
Where;
P(1 and Orange) = (1/6) × (1/3) = 1/18
∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9
P(1 or Orange) = 4/9
[tex]P(1 \ or \ Orange) = \dfrac{4}{9}[/tex]
c. The probability of not spinning a blue, P(not Blue) is given as follows;
P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)
∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6
P(not Blue) = 5/6
[tex]P(not \ Blue) = \dfrac{5}{6}[/tex]
Which expression is equivalent to 4x +4y
Answer:
C. 4(x + y)
Step-by-step explanation:
Use the distributive property.
4(x + y) = 4x + 4y
Answer:
C. 4(x + y)
Step-by-step explanation:
If you multiply this answer out (4 times x and 4 times y) it is the equivalent to 4x + 4y.
what is the smallest number by which 6400 must be multiplied to make a perfect cube?
Answer:
10
Step-by-step explanation:
i looked it up to be sure but if wrong very sorry.
Can someone help me with this plz plz pls
56/11=5.09090909090.......
50/9=5.5555........
7/9=0.777777.......
What is the domain of the function graphed below?
Answer:
(-2,4] and [7,α)
Step-by-step explanation:
the domain is open at -2 but closed at 4 and also closed at 7 but open till infinity..
The domain of the given function is (-2,4] U [7, ∞), which is the correct option (B).
What is a piecewise function?A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).
The graph is given in the question, as shown
f(x) = x²+1 if (-2,0]
This the sub-function define between the interval (-2,0].
f(x) = -1 if (0, 4]
This the sub-function define between the interval (0, 4].
f(x) = -(x-7)² if [7, ∞)
This the sub-function define between the interval [7, ∞).
Thus, the domain of the given function is (-2,4] U [7, ∞).
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How many people can Liam buy lunch for
Answer:
At most, Liam can only buy lunch for 6 people.
Step-by-step explanation:
It isn't going to be a decimal answer because there can't be half of a person
All you have to do is divide 50 by 8 and round down because you don't want to spend more than 50 dollars.
Writing it mathematically, it would be:
p [tex]\leq[/tex] 6
What is the capacitive resistance of a 0.04 microfarad capacitor in a AC circuit that has a frequency of 1,000 hertz?
I need help PLZ thanks for your help
Image below
Answer:
3x - 14 = x + 30
[ Opposite angles of a ||gm are equal ]
=> 3x - x = 30+14
=> 2x = 44
=> x = 22
Therefore , option 4 is correct
hope that helps ✌
PQRS is a parallelogram. Answer the questions below.
Answer:
4. SR= 17 (opposite angle of parallogram are equal)
Draw a line through the origin that has a slope of 1/2
Step-by-step explanation:
Slope = rise/run = 1/2
You need to plot these two points = (1,0) and (3,1) and make a line paas through
Answer by Gauthmath
Setting y = 0 allows you to determine the what
of a graph
[tex]y=0[/tex] allows you to determine the x-intercept of a graph.
x-intercept and y-intercept:The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept. Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.When y is 0, the x-intercept is reached. The graph's intersection with the y-axis, or (0, b), is known as the y-intercept. When x is 0, the y-intercept is reached. When y is 0, the x-intercept is reached.Therefore, [tex]y=0[/tex] allows you to determine the x-intercept of a graph.
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Simplify (-63) ÷ (-9)
Answer:
Find the GCD (or HCF) of numerator and denominator
GCD of 63 and 9 is 9
Divide both the numerator and denominator by the GCD
63 ÷ 9
9 ÷ 9
Reduced fraction:
7/1
Therefore, 63/9 simplified to lowest terms is 7/1.
Step-by-step explanation:
WHATS YOUR TIKTOKKK OMG I WANT MUTUALS
Guided Practice
Find the first, fourth, and eighth terms of the sequence.
an=−2 · 5n−1a subscript n baseline equals negative 2 times 5 superscript n minus 1 baseline
A.
–2; –250; –156,250
B.
0; –250; –156,250
C.
–10; –1000; –10,000,000
Answer:
A.
–2; –250; –156,250
Step-by-step explanation:
A(1) = -2 x 5(1) - 1 = -11
A(4) = -2 x 5(4) -1 = -41
A(8) = -2 x 5(8) -1 = -81
...............................................................................................................................................
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which term
so
an=-2(5)^(n-1)
first term is -2
4th term is subsitue 4 for n
a4=-2(5)^(4-1)
a4=-2(5)^3
a4=-2(125)
a4=-250
4th term is -250
--------------------------
8th term
a8=-2(5)^(8-1)
a8=-2(5)^7
a8=-2(78125)
a8=-156250
8th term is -156250
...............................................................................................................................................
A(1)=2*5^1-1=2*5^0=2*1=2
a(4)=2*5^4-1=2*5^3=2*125=250
a(8)=2*5^8-1=2*5^7=2*78,125=156,250
...............................................................................................................................................
2, 250, 156, 250
One-third of a number when subtracted from double of itself is equal to 10. Find the number.
2x−x3=10
X=?
Answer:
number is 6
Step-by-step explanation:
let the number be x , then double the number is 2x and
2x - [tex]\frac{1}{3}[/tex] x = 10 ( multiply through by 3 to clear the fraction )
6x - x = 30
5x = 30 ( divide both sides by 5 )
x = 6
That is the number is 6
Can someone please check my answers and help/explain #4
Answer:
(0,8)
Step-by-step explanation:
To get the y-intercept put all x values equal to 0 (because we want to see where y lies on the graph when x is zero.
y=2^0+3
y=2^3
y=8
The y-intercept is (0,8)
As for the rest of the answers.....
1)A) 2[tex]\sqrt{12}[/tex]-5[tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]-5[tex]\sqrt{3}[/tex] so the final answer is -[tex]\sqrt{3}[/tex]
1B) the problem is (3-[tex]\sqrt{7}[/tex])(3+[tex]\sqrt{7}[/tex]) a quick formula to help you solve this type of problem is (a-b)(a+b)= a^2-b^2 so you transform the question to 3^2-[tex]\sqrt{7}[/tex] ^2
to get 9-7 which is 3 therefore the final answer is 3
2) when you transform a function from y=x^2-3 to y=x^2+1 the graph moves 4 units up. So the final answer is b)4 units up
Question 3a and 3b are correct
Below is a histogram representing the test scores from Mrs. Jackson's 2nd period History class. How many students scored a 90 or above?
Answer:
either 5 or 6
Step-by-step explanation:
I can't have a direct answer because you didn't get all of the histogram in there, but from what I can conclude from just this there's definitely either 5 or 6.
What is the solution to the equation X -19 equals one
Answer: x = 20
Step-by-step explanation:
Given
x - 19 = 1
Add both sides by 19
x - 19 + 19 = 1 + 19
x = 20
Hope this helps!! :)
Please let me know if you have any questions
A car travels 32 km due north and then 46 km in a direction 40° west of north. Find the direction of the car's resultant vector. [?] Round to the nearest hundredth.
Answer:
Step-by-step explanation:
This requires some serious work before we even begin. First off, we will convert the km to meters:
32 km = .032 m
46 km = .046 m
And then we have to deal with the angle given as 40 degrees west of north. An angle 40 degrees west of north "starts" at the north end of the compass and moves towards the west (towards the left in a counterclockwise manner) 40 degrees. That means that the angle that is made with the negative x axis is a 50 degree angle. BUT the way angles are measured in standard form are from the positive x-axis, therefore:
40 degrees west of north = 50 degrees with the negative x axis = 130 degrees with the positive x axis. 130 is the angle measure we use. Phew! Now we're ready to start. Adding vectors requires us to use the x and y components of vectors in order to add them.
[tex]A_x=.032cos90.0[/tex] so
[tex]A_x=0[/tex] (the 90 degrees comes from "due north")
[tex]B_x=.046cos130[/tex] so
[tex]B_x=-.030[/tex] and if we add those to get the x component of the resultant vector, C:
[tex]C_x=-.030[/tex] And onto the y components:
[tex]A_y=.032sin90.0[/tex] so
[tex]A_y=.032[/tex]
[tex]B_y=.046sin130[/tex] so
[tex]B_y=.035[/tex] and if we add those together to get the y component of the resultant vector, C:
[tex]C_y=.067[/tex] Note that since [tex]C_x[/tex] is negative and [tex]C_y[/tex] is positive, the resultant angle (the direction) will put us into QII.
We find the magnitude of C:
[tex]C_{mag}=\sqrt{(-.030)^2+(.067)^2}[/tex]
We will round this after we take the square root to the thousandths place.
[tex]C_{mag}=.073m[/tex] and now for the angle:
[tex]\theta=tan^{-1}(\frac{.067}{-.030})[/tex] which gives us an angle measure of -67, but since we are in QII, we add 180 to that to get that, in sum:
The magnitude of the resultant vector is .073 m at 113°
in parallelogram ABCD the measure of m
A) 82.5
B) 97.5
C) 120
D) 130
The measure of the angle C is 120°.
Given that the parallelogram ABCD, we need to find the measure of the angle C,
We know that in a parallelogram the opposite angles are equal and the adjacent angles are supplementary,
So,
∠D = ∠B
6x + 6 = 10x - 30
4x = 36
x = 9
So, ∠D = ∠B = 60°
So,
∠C + ∠D = 180°
∠C = 180° - 60°
∠C = 120°
Hence the measure of the angle C is 120°.
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please answer all the step wise step
factorise
1. a^2 - b^2 - 4a +4
2. x^2 -xy - 3x +2 +2y
3. 4x^2 - 4a^2 - 4a - 1
4. x^2 + 3x + 2 + ax + 2a
5. 7 ( x - 1/x )^2 + 15 ( x - 1/x ) + 2
6. 64 - 144x + 108x^2 - 27x^3
7. ab^2 - b ( a-c ) - c
8. p^2 - a ^2 - 2pr + r^2
Answer:
click the link below for further explanation
Step-by-step explanation:
https://genius.com/Rick-astley-never-gonna-give-you-up-lyrics
what is the GCF of 18 and 36
Answer: 18
Step-by-step explanation: Factor of 18 are: 1, 2, 3, 6, 9, 18
Factor of 36 are : 1, 2, 3, 4, 6, 9, 12, 18, 36
Hope that helps
Answer:
18
Step-by-step explanation:
listing the factors
factors of 18 are 1, 2, 3, 6, 9, 18
factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The common factors are 1, 2, 3, 6, 9, 18
with GCF being 18
