Answer: 50 meters
Step-by-step explanation: I just finished the pretest
Answer: The ball is 50 m off the ground after 2 seconds
Step-by-step explanation:
Given the function relating the height of an object off the ground to the time spent falling is a quadratic relationship.
Therefore if h=height and t=time then
[tex]h=a+bt+ct^{2}[/tex] ----------(A)
where a,b and c are constants
Apply given conditions
At t=0s h=90 m
=> 90 m = a+0+0
=>a=90 m
Also the ball has been just dropped at t=0 s
=>[tex]\frac{\partial h}{\partial t}=0=>\frac{\partial (a+bt+ct^{2})}{\partial t}=0[/tex]
=>[tex]b+2ct=0[/tex]
For t=0s b = 0
Thus equation (A) is reduced to [tex]h=90+ct^{2}[/tex]
At t= 3 s , h=0 m
[tex]\therefore 0= 90 +9c=>c=-10 \frac{m}{s^{2}}[/tex]
Finally we get [tex]h=90-10t^{2}[/tex]
Therefore at t= 2.0 s , [tex]h=(90-10\times 2^{2})m=50 m[/tex]
Thus the ball is 50 m off the ground after 2 seconds
which lists the fractions 2/3 , 5/6, 7/12 from least to greatest
A game store sells 2 large puzzles for $16 and 3 small puzzles for $15. The store made $128 in puzzle sales this week.
The equation 8l+5s=128 represents this week's earnings from puzzle sales, where ll represents the number of large puzzles sold and s represents the number of small puzzles sold.
Which statements are correct regarding the equation 8l+5s=128?
select all the apply.
1.The coefficient 5 in the equation gives the cost of one large puzzle.
2.The coefficient 5 in the equation gives the cost of one small puzzle.
3.The constant 128 in the equation gives the total number of puzzles sold.
4.The coefficient 8 in the equation gives the cost of one large puzzle.
5.The coefficient 8 in the equation gives the cost of one small puzzle.
Answer:
2&4
Step-by-step explanation:
The equation 8l+5s=128 represents puzzle sales earnings, where the coefficients correspond to puzzle costs correctly.
Statements 1, 2, and 4 are correct regarding the equation 8l + 5s = 128:
The coefficient 5 in the equation gives the cost of one small puzzle.The coefficient 5 in the equation gives the cost of one small puzzle.The coefficient 8 in the equation gives the cost of one large puzzle.2w -5. when w = 16 HELP ME
Answer:
27
Step-by-step explanation:
Plug in
2(16) - 5
= 32 - 5
= 27
For this case we have the following expression:
[tex]2w-5[/tex]
We must evaluate the expression when w = 16. So, we have:
[tex]2 (16) -5 =\\32-5 =[/tex]
Different signs are subtracted and the sign of the major is placed:
[tex]32-5 = 27[/tex]
Thus, the value of the expression with [tex]w = 16[/tex] is 27
Answer:
[tex]32-5 = 27[/tex]
what is the sum of the arithmetic sequence 3,9,15..., if there are 22 terms
Answer:
The arithmetic sequence given above has a first term (a1) equal to 3 and the common difference (d) equal to 6. The sum of the first n terms of the sequence is calculated through the equation,
Sn = (n/ 2) x (2a1 + (n - 1) x d)
Substituting,
S22 = (22 / 2) x (2x3 + (22 - 1) x 6) = 1452
Therefore, the answer is the first choice, 1452.
Step-by-step explanation:
Please mark brainliest and have a great day!
Answer:
1452.
Step-by-step explanation:
Sum of n terms = n/2 [2a1 + d(n - 1) ] where a1 = the first term and d = the common difference.
Here a1 = 3 and d = 9-3 = 6.
So S22 = 11 [2*3 + 6(22-1)]
= 11 * 132
= 1452
What is the value of f(6) in the function below? f(x)=2^x
A. 16
B. 32
C. 12
D. 64
Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?
Answer:
The graph of his initial step in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=3(4)^{x}[/tex]
This is a exponential function of the form
[tex]y=a(b)^{x}[/tex]
where
a is the initial value
b is the base
r is the rate of change
In this problem
a=3 ---> the initial value ( value of the function when the value of x is equal to zero)
b=4
b=1+r ----> 4=1+r ----> r=3 ---> r=300%
therefore
The initial value is the point (0,3)
The graph of his initial step in the attached figure
Calculista · Quality Assurance - seems pretty accurate i was looking at their answer and he went as far as actually graphing it out for everyone... it shure as **** helped me not get confused. Thanks Calculista you got big brain lol!
Gregory has 2/3 of an entire pizza. If he gives 1/4 of an entire pizza to his friend Marlene, what fraction of his partial pizza did he give to Marlene?
Gregory has 2/3 of a pizza and gives 1/4 of an entire pizza to Marlene. By converting the fractions to a common denominator, we find that he gives away 3/8 of his portion of the pizza to Marlene.
Explanation:Understanding fractions can sometimes be as easy as picturing how you would slice a pie and share it with friends.
Gregory has 2/3 of an entire pizza and decides to give 1/4 of an entire pizza to his friend Marlene.
To solve how much of his portion Gregory gives to Marlene, we need to figure out what fraction 1/4 represents out of the 2/3 that Gregory has.
If we think of the pizza being cut into 12 slices (since 12 is a common multiple of both 3 and 4), Gregory's 2/3 is equivalent to 8/12 of the pizza because (2/3) × (12/1) = 8/12.
Similarly, 1/4 of the pizza is equivalent to 3/12 of the pizza because (1/4) × (12/1) = 3/12.
Now we know that Gregory aims to give away 3/12 of the pizza, but we want to express this as a part of his original 8/12.
To find out what fraction of his part he gives away, we then calculate (3/12) ÷ (8/12).
When we divide these fractions, we can multiply by the reciprocal of the second fraction:
(3/12) × (12/8), which simplifies to 3/8.
Therefore, Gregory gives away 3/8 of his 2/3 of the pizza to Marlene.
Please help me find the surface area of this right prism. ASAP please. Thank you ~
Answer:
[tex]\large\boxed{V=\dfrac{75\sqrt3}{2}\approx64.95}\\\boxed{S.A.=\dfrac{160+25\sqrt3}{2}}[/tex]
Step-by-step explanation:
The formula of a volume of a prism:
[tex]V=BH[/tex]
B - base area
H - height
In the base we have the equilateral triangle. The formula of an area of an equilateral triangle with side a:
[tex]A=\dfrac{a^2\sqrt3}{4}[/tex]
Substitute a = 5:
[tex]B=\dfrac{5^2\sqrt3}{4}=\dfrac{25\sqrt3}{4}[/tex]
H = 6.
Calculate the volume:
[tex]V=\left(\dfrac{25\sqrt3}{4}\right)(6)=\dfrac{75\sqrt3}{2}[/tex]
The formula of a Surface Area:
[tex]S.A.=2B+PH[/tex]
B - base area
P - perimeter of a base
H - height
Calculate P: [tex]P=5+5+5=15[/tex]
Substitute:
[tex]S.A.=2\left(\dfrac{25\sqrt3}{4}\right)+(15)(6)=\dfrac{25\sqrt3}{2}+80=\dfrac{160+25\sqrt3}{2}[/tex]
1. Find the product (13 – x2)(x + 2).
-x3 - 2x2 + 13x + 26
Answer:
The product is -x³ - 2x² + 13x + 26
Step-by-step explanation:
* Lets revise how to find the product of two binomials
- If (ax ± b) and (cx ± d) are two binomials, where a , b , c , d are constant
their product is:
# Multiply (ax) by (cx) ⇒ 1st term in the 1st binomial and 1st term in the
2nd binomial
# Multiply (ax) by (d) ⇒ 1st term in 1st binomial and 2nd term in
2nd binomial
# Multiply (b) by (cx) ⇒ 2nd term in 1st binomial and 1st term in
2nd binomial
# Multiply (b) by (d) ⇒ 2nd term in 1st binomial and 2nd term in
2nd binomial
# (ax ± b)(cx ± d) = cx² ± adx ± bcx ± bd
- Add the terms adx and bcx because they are like terms
* Now lets solve the problem
- There are two binomials (13 - x²) and (x + 2)
- We can find their product by the way above
∵ (13)(x) = 13x ⇒ 1st term in the 1st binomial and 1st term in the
2nd binomial
∵ (13)(2) = 26 ⇒ 1st term in 1st binomial and 2nd term in
2nd binomial
∵ (-x²)(x) = -x³ ⇒ 2nd term in 1st binomial and 1st term in
2nd binomial
∵ (-x²)(2) = -2x² ⇒ 2nd term in 1st binomial and 2nd term in
2nd binomial
∴ The product of (13 - x²)(x + 2) = 13x + 26 - x³ - 2x²
- There is no like terms
- Lets arrange the terms from greatest power to smallest power
∴ The product is -x³ - 2x² + 13x + 26
6. You have $20.00 to spend. How many different food/drink combinations could you have?
List some of the combinations. Use the space on this page to show your work.
Food/Drink Item
Price
Fries
$2.75
Hot Dog
$1.75
Hamburger
$2.15
Cheeseburger
$2.25
Soda
$1.25
Ice Cream
$1.50
Cookies (3)
$1.00
Water
$1.00
5(x-4)+3x-9x=6-(2x+5)+8x
Answer:
The value of x is -3
Step-by-step explanation:
We need to solve the given equation and find value of x
5(x-4)+3x-9x=6-(2x+5)+8x
First solving the brackets
5x-20+3x-9x = 6-2x-5+8x
Now combining the like terms,
5x+3x-9x-20 = -2x+8x+6-5
8x-9x-20 = 6x +1
-x-20=6x+1
Now moving x terms on one side and constants on other
6x+x=-20-1
7x = -21
Dividing both sides by 7
7x/7 = -21/7
x = -3
So, the value of x is -3
Sam is designing a fence post for his yard. He will need to construct a perpendicular line through the point above the line to make sure the fence post is perpendicular to the ground. Which step should Sam do first to ensure that the fence post model is perpendicular to the ground in the diagram?
A. Place the compass at the point off the ground, and swing an arc on either side of the point.
B. Place the compass at the point off the ground, and swing arcs above and below the ground.
C. Place the compass at the point off the ground, and swing an arc that intersects the ground in one place.
D. Place the compass at the point off the ground, and swing an arc that intersects the ground in two places.
Answer:
Step-by-step explanation:
D is correct. The idea here is to ensure that the point on the post is equidistant from the bottom of the post (where it meets the ground), which in turn ensures that the angle between ground and post is 90° in at least two places on the ground.
The step that Sam must take first in order to make sure that the post of the fence is ⊥ to the bottom of the ground would be:
D). "Place the compass at the point off the ground, and swing an arc that intersects the ground in two places."
In the given situation, Sam is required to locate the compass away from the ground so that the arc created divides the ground into two equal and equidistant places. Since the point framed on the post would be at an equal distance from its bottom, the angle formed among them(post, as well as, ground) would be a right angle or perpendicular.Thus, option D states a true claim regarding the precise placement of the compass to get the desired angle i.e. 90° for at least two locations.Learn more about 'arcs' here:
brainly.com/question/16765779
what is the prime factors of 96
Answer:
1,2,3,4,6,8,12,16,24,32,48
Step-by-step explanation:
|96|
1×96
2×48
3×32
4×24
6×16
8×12
hope this helps :)
An image of a parabolic lens is projected onto a graph.The y-intercept of the graph is (0, 90), and the zeros are 5 and 9. Which equation models the function? y = 90(x – 5)(x – 9) y = 2(x – 5)(x – 9) y = 90(x + 5)(x + 9) y = 2(x + 5)(x + 9)
Step-by-step explanation:
If the zeros are 5 and 9, then the equation will have the form:
y = a (x–5) (x–9)
We know the point (0, 90) is on the curve, so we can use this to find the coefficient a:
90 = a (0–5) (0–9)
90 = 45a
a = 2
y = 2 (x – 5) (x – 9)
Answer:
y = 2 (x-5) (x-9)
Step-by-step explanation:
Edge
Let p: A student plays basketball.
Let q: A student plays tennis.
How many students play both basketball and tennis?
Answer: 4 students
Step-by-step explanation:
We know that p is the set formed by the students who play basketball and q is the group formed by the students who play tennis, in this case we look for the group of students who play both sports. That is, we look for the intersection of the set p with the set q
In the Venn diagram shown, each set is represented by a circle and the area where both circles intersect represents the set formed by the intersection of p and q.
This diagram shows that the number of students who play tennis and play basketball is 4
Answer:
A
Step-by-step explanation:
Maya is taking her friends to a concert. Each ticket costs
$25, and souvenir T-shirts are $12 each. There is a $4
service fee for the entire purchase. She has $130. If she
buys 3 tickets, what is the maximum number of T-shirts
she can buy?
Solve the inequality 25x + 12y+ 4 s 130, where x = number of tickets and
y= number of T-shirts, to answer the question.
A=12
B=3
C=4
D= 5
Answer:
C=4
Step-by-step explanation:
So you multiply 3 tickets by 25 and you get $75. You then subtract $130 from $75 and you get $55 you then multiply 12 by 4 to get $48. And that's how 4 is the correct answer.
Answer:
4 Is the answer
Step-by-step explanation:
lma0 i gotchu
What are the coordinates of point P on the coordinate grid below?
A four-quadrant coordinate grid from negative 1 to 1 is drawn with grid lines to show increments of 1 over 8. Point P is plotted at the sixth grid line to the left of the y-axis and the second grid line above the x-axis.
the ordered pair 6 over 8, negative 2 over 8
the ordered pair negative 6 over 8, 2 over 8
the ordered pair negative 6 over 8, negative 2 over 8
the ordered pair 6 over 8, 2 over 8
Answer:
the ordered pair negative 6 over 8, 2 over 8
Step-by-step explanation:
Point P is plotted at the sixth grid line to the left of the y-axis
Going to the left of the y axis means negative, to the right is positive
We go left 6 units, each unit is 1/8
-6 * 1/6 = -6/8
That is the x coordinate
Second grid line above the x-axis.
Going up is positive and down would be negative
We go up 2 units, each unit is 1/8
+2 * 1/8= 2/8
That is the y coordinate
(-6/8, 2/8)
Answer:
Second grid line above the x-axis.
Going up is positive and down would be negative
We go up 2 units, each unit is 1/8
+2 * 1/8= 2/8
That is the y coordinate
(-6/8, 2/8)
Which is equivalent to 5√1,215^x
Answer:
here is the answer look at picture above
What is the domain of this function
Answer:
A. {-1, 3, 5}Step-by-step explanation:
Look at the picture.
What is the value of 4x-7 when x=4?
1
9
16
23
[tex]
4x-7\Longrightarrow4\cdot4-7=16-7=9
[/tex]
Hope this helps.
r3t40
Answer:
9
Step-by-step explanation:
4x-7
4(4)-7
16-7
9
PLEASE HELP ME ASAP.....
MATHS.
In a triangle ABC, AD is the bisector of angle A ....If AB=5.6cm ,AC=4cm and DC=3cm, find BD and DC
PLS HELP ME
Step-by-step answer:
Given:
In a triangle ABC, AD is the bisector of angle A ....If AB=5.6cm ,AC=4cm and DC=3cm, find BD and DC
This problem can be solved by direct application of the angle bisector theorem, which states that the division of the side opposite to the bisected angles is proportional to the respective sides.
Here we have:
Bisector: AD
Side divided: DC = 3 cm
Length of AB = 5.6
Length of AC = 4.0
Then BD = AB/AC * DC = 5.6/4.0 * 3 = 4.2
BC = BD+DC = 4.2+3 = 7.2
Which of the following descriptions matches the tree diagram below?
Answer:
Its the first option.
Step-by-step explanation:
Game 1 - you win or lose.
Game 2 - you win or lose
So that makes 4 possible branches along the tree.
WW, WL LW and LL.
Which is the correct formula to find the area of ABC
The graph of F(x), shown below, has the same shape as the graph of
G(x) = x3, but it is shifted down 1 unit. What is its equation?
F(x) =
Answer:
x^3-1
Step-by-step explanation:
f(x)=g(x)-1 since was shifted down 1 unit x^3-1
f(x)=g(x)+1 would have been a shift up of 1 unit x^3+1
f(x)=g(x-1) shifted right 1 unit (x-1)^3
f(x)=g(x+1) shifted left one unit (x+1)^3
Anyways the answer is f(x)=x^3-1
HELP!!THANKS FOR ACCURACY
[tex]\bf tan^2(x)-1=0\implies tan^2(x)=1\implies tan(x)=\pm\sqrt{1} \\\\\\ tan^{-1}[tan(x)]=tan^{-1}(\pm 1)\implies x=tan^{-1}(\pm 1)\implies x= \begin{cases} \frac{\pi }{4}\\\\ \frac{3\pi }{4}\\\\ \frac{5\pi }{4}\\\\ \frac{7\pi }{4} \end{cases}[/tex]
A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
A. R0, 90°
B. R0, 180°
C. R0, 270°
D. R0, 360°
Answer:
D. R0, 360°
Step-by-step explanation:
Since the transformation is from (x,y) to (x,y), the values stay the same...
It's just like a 360 degrees rotation then, since the end position is identical to the start position.
All other answers would affect at least one of the values to change sign like (-x,y), (x,-y) or (-x,-y)... but a 360 degrees rotation would not.
A system of linear equations contains two equations with negative reciprocal slopes. How many solutions will it have?
Answer:
1 solution
Step-by-step explanation:
The number of solutions will be one.
( i.e. the system of equation has a unique solution )
Step-by-step explanation:We are given a system of equations such that:
One of the equation has a negative reciprocal slope as compared to the other.
This means that the two lines are perpendicular.
Hence, the two lines will definitely meet or intersect at just one point and at right angles.
Also we know that the solutions of a system of linear equations are the points where the two lines intersect.
Hence, we will have just one solution.
( since here the two lines will intersect at just one point )
Could ABC be congruent to ADC by SSS? Explain.
Answer:
To be determined (picture???)
Step-by-step explanation:
SSS means: side - side - side
This means that when you look at the two triangles, in this case ABC and ADC their sides MUST be corresponding to be congruent (equal). This is easily identifiable by the tics or little dash marks you see on the triangles. If the dashes correspond to the same sides (hence side-side-side rule) then the theorem is proven correct and the triangles of congruent. Take a look at the attached image for an example :D
What is the slope of a line that is parallel to the line shown
on the graph?
A -4
B -1/4
C 1/4
D 4
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Parallel lines have the same slope
The slope of the line shown is [tex]\frac{1}{4}[/tex]
Therefore, the slope of the parallel line will also be [tex]\frac{1}{4}[/tex]
Hector surveyed students in his homeroom about how they got to school last Monday and noted whether they arrive on time or late. The data he gathered is shown in the two-way table below.
According to the data in the table, what percentage of students in Hector’s homeroom did not take the bus to school last Monday?
Answer: 48%
Step-by-step explanation:
25 students total
8 do not take the bus and are on time
4 do not take the bus and arrive late
12 in total do not take the bus
12/25total students = 0.48 and to get the percentage you multiply by 100 this gives you 48%