Answer:
b6,4
Step-by-step explanation:
becust tehf sdj
Solve by using Vertical Velocity model: h=-16t^2+vt+s
Where v = velocity
s = starting height
h = ending height
t = time
You can ignore the previous work, just solve B and C. Just there for context
USE VERTICAL VELOCITY MODEL FORMULA.
An equation that models the height of the ball as a function of time t is; h(t) = -16t² + 40t + 3. The maximum height that the ball will reach is 28 ft
How to Solve the Vertical velocity model?We are given the equation for the vertical velocity model as;
h = -16t² + vt + s
Where;
v = velocity
s = starting height
h = ending height
t = time
A) From the question, we have;
v = 40 ft/s
s = 3 ft
Thus, the equation is;
h = -16t² + 40t + 3
B) To find the time that the ball reaches its maximum height, we will equate the height equation to zero and find the roots. Thus;
-16t² + 40t + 3 = 0
Using an online quadratic equation calculator gives;
t = 2.573 s
C) The maximum height that the ball will reach is;
h'(t) = -32t + 40
At h'(t) = 0;
-32t + 40 = 0
32t = 40
Thus;
t = 1.25 s
Max height = -16(1.25)² + 40(1.25) + 3
Max height = 28 ft
D) The height of the ball after 2 seconds is;
h(2) = -16(2)² + 40(2) + 3
h(2) = 19 ft
E) Time for the ball to hit the ground is;
T = 2 * 2.573
T = 5.146 s
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3/2 x 7/2= 2^x
A. X= 1
B. X= 3
C. X= 5
D. X= 8
Peter works as a dishwasher and earns 7.30 /h. He also receives 7% of the gratuities earned by all the staff. Two weeks ago he worked 32 hours and the gratuities totalled 1587.30. What was Peter's gross pay?
Peter's gross pay will be 1820.9.He put in 32 hours of work two weeks ago, and the tip money came to $1587.30.
What is gross pay?Before taxes, benefits, and other payroll deductions are taken out of an employee's paycheck, that amount is known as their gross pay.
Given data;
Peter earn per hour = 7.30
Gratuities = 7 %
Given condition;
No of hour person work = 32
Gratitutes = 1587.30
Let the gross pay will be x;
x = gratuities + no of hoy\ur work × money earned per hour;
x = 1587.30 + 32 × 7.30
x = 1820.9
Hence,Peter's gross pay will be 1820.9.
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In a school, the number of girls is 70 more than boys. the total number of students is 1280. find the number of girls and boys simple equations
Answer:
Boys = 605
Girls = 675
Step-by-step explanation:
Let x be the number of boys in school.
So, girls = (x+70)
Total no. of students = 1280
x + x + 70 = 1280
2x + 70 = 1280
2x = 1280 - 70
2x = 1210
x = 1210/2
x = 605
Hence, no. of boys = 605
no. of girls = 605 + 70 = 675
Equation of graph problem
The parent function y=1/x²
How horizontal shifting of the graph takes place?If a function f(x) is shifted horizontally by k units the parent function f(x) becomes f(x+ k) where k>0
Here, the parent function y=1/x²
Add 3 to x in the denominator as the graph is shifted to left 3.
and, Add 1 to the fraction, because the graph is shifted up 1 unit.
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The entire graph of the function h is shown in the figure below.
Write the domain and range of h using interval notation.
Answer:
Step-by-step explanation:
Match each expression with its value -5,-3,3 or undefined
G(0)
G(0.0001)
G(2.999)
G(3)
By using the given graph, we will see that:
G(0) = -5G(0.0001) = -3G(2.999) = -3G(3) = -3How to evaluate function G?Here we have a graph of function G(x), and we want to evaluate it in different values of x.
To do that, we need to look at the interval where the lines are defined. An open dot means that the endpoint does not belong to the interval, while the closed dot means that the endpoint belongs.
First, G(0).
If you look at the graph, when x = 0 we have a closed dot on the bottom line. That is the line that we need to look to do this evaluation, there we can see that when x = 0, we have G(0) = -5.
Then we have x = 2.999.
Notice that x < 3.
And the second line (the one at y = -3) is on the interval (0, 3].
Then x = 2.999 is included on that interval, it means that:
G(2.999) = -3.
Now we have x = 0.0001
Again, notice that the second line is on the interval (0, 3]
Because 3 > 0.0001 > 0, then:
0.0001 ∈ (0, 3]
From that, we conclude that:
G(0.0001) = -3
Finally:
G(3).
Again, 3 belongs to the interval (0, 3]
Then we use the second line again.
G(3) = -3
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Answer:
G(0) = -5
G(0.0001) = -3
G(2.999) = -3
G(3) = -3
Step-by-step explanation:
answer must be in simplest form
The trigonometric ratios shows that the cos M is 4/5.
RIGHT TRIANGLE
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: [tex]hypothenuse^2=(leg_1)^2+(leg_2)^2[/tex] . And the main trigonometric ratios are: sin [tex]\alpha[/tex], cos [tex]\alpha[/tex] and tan [tex]\alpha[/tex], where:
[tex]sin \alpha =\frac{opposite\;leg}{hypotenuse} \\ \\ cos \alpha =\frac{adjacent\;leg}{hypotenuse} \\ \\ tan \alpha =\frac{opposite\;leg}{adjacent\;leg}[/tex]
For finding the cos M, firstly, you should find the side MN from Pythagorean Theorem.
[tex]hypothenuse^2=(leg_1)^2+(leg_2)^2\\ \\\ 30^2=18^2+(MN)^2\\ \\ 900=324+(MN)^2\\ \\(MN)}^2=900-324\\ \\ (MN)^2=576\\ \\ MN=24[/tex]
If MN=24, the cos M will be
[tex]cosM =\frac{adjacent\;leg}{hypotenuse} =\frac{24}{30} =\frac{4}{5}[/tex]
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Find the value of X.
Answer:
x=6
Step-by-step explanation:
check the scale factor by the fraction 10/5
after/before
it simplifies to 2 meaning that the second triangle is two times the size of the first
then take 3 fron segment AB to the similar segment DE and times it by the scale factor(2)
2×3=6
Answer:
6
Step-by-step explanation:
since AC = 5. and DF = 2(5) = 10
FW = 2(4)=8 DE= 2(3) = 6
therefore x = 6
If the side length of a square is 4 inches, it’s area is how many square inches and it’s perimeter is how many inches
Answer:
The area is 16 inches squared and the perimeter is also 16 inches
Step-by-step explanation:
To find the area, you must multiply the length by the width. Since this is a square, you have to multiply one adjacent side by the other. For perimeter, you can either multiply one side by 4 or add all 4 sides.
What are the endpoint coordinates for the midsegment of △BCD that is parallel to BC¯¯¯¯¯?
Enter your answer, as a decimal or whole number, in the boxes.
( , ) and ( , )
Answer:
(3,3) (-1,-3), you just have to look at the coordinates
Two consecutive odd numbers are such that seven times the smaller , subtracted from nine times the bigger,gives 144.find the two numbers.
Answer:
x = -16
y = 20
Step-by-step explanation:
TIMED!! pls
What are the zeros of the quadratic function f(x) = 2x^2 + 16x - 9?
The graph of g(x) is the result of translating the graph of f(x) = 3 ^ x six units to the rightWhat is the equation of g(x)
Answer: [tex]g(x) = 3^{x-6}[/tex]
Step-by-step explanation:
Think about it like doing
x - 6 = 0
x = 6
That is how you know that it will be shifted 6 units right (how you can tell the difference between right and left shift)
11 potters can make 143 pots in 8 days. How many potters will be required to make 169 pots in 4 days?
26 potters will be required to make 169 pots in 4 days.
Given: 11 potters can make 143 pots in 8 days.
Step 1:
1 potter makes 143 pots in 8 × 11 days.
1 potter can make 1 pot in
(8 × 11)/143 days.
Step 2:
Let the number of potters required be x, then
x potters can make 1 pot in (8 × 11)/( 143 × x) days
x potters can make 169 pots in (8 × 11 × 169)/(143 × x ) days
Step 3:
The number of days given is 4. Hence equating the above equation to 4.
(8 × 11 × 169)/(143 × x ) = 4
Step 4:
Solve for x
14872/(143x) = 4
572x = 14872
x = 14872/572
x = 26
Thus, 26 potters will be required to make 169 pots in 4 days.
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100 POINTS! Write a system of three linear equations with three variables each that has the unique solution (1,2,-1). Write your equation in standard form. Use the variables x,y, and z with non-zero coefficients
Answer:
Three linear equations that has a unique solution (1,2,-1) are:-
x+ y+ z =2
2x + y + 3z = 1
x+ 2y+ z = 4
Step-by-step explanation:
Linear equations in three variables:-
If a, b, c and r are real numbers (and if a, b, and c are not all equal to 0)
then ax + by + cz = r is called a linear equation in three variables. (The
“three variables” are the x, the y, and the z.)
The numbers a, b, and c are called the coefficients of the equation. The
number r is called the constant of the equation.
so from from above explanation we can write 3 linear equations with three variables as.
x+ y+ z =2
2x + y + 3z = 1
x+ 2y+ z = 4
Now to check if the given point (1,2,-1) is solution or not these equations must satisfy this point,
x+ y+ z =2
1+ 2- 1 = 2
2= 2
2x + y + 3z = 1
2×1 +2 - 3×1 = 1
1=1
x+ 2y+ z = 4,
1+ 2×2 -1 = 4
4=4
therefore all three equations satisfies the given point
hence these are the three linear equation having point (1,2, -1) as the unique solution
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Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.
option (B) is correct the graph second represents the line that is perpendicular to the line y = 4x - 2
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete:
The complete question is:
Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?
Please refer to the attached picture.
The given line:
y = 4x - 2
The slope of the line M = 4
The slope of the line which is perpendicular to the above line:
m = -1/4 = -0.25
The graph second has a slope of -0.25
[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]
y - 2 = -0.25x - 1
y = -0.25x + 1
m = -0.25
Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
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Answer: C
Step-by-step explanation:
Help me please and thxx
Option C).
12. Allison is buying some boxes of frozen treats: popsicles, p, ice cream bars, b, and ice cream
sandwiches, s. All three items cost $2.25 for each box. Write two equivalent expressions to
determine how much Allison will spend on all the frozen treats.
Answer:
One possible answer is: 2.25p + 2.25b + 2.25s
Another possible answer: 2.25(p + b + s)
==========================================================
Explanation:
p = number of popsiclesb = number of ice cream barss = number of ice cream sandwichesEach item costs $2.25 per box, so,
2.25p = cost of just the popsicles only2.25b = cost of just the ice cream bars only2.25s = cost of just the ice cream sandwiches onlyAdd up those subtotals to get the grand total
2.25p + 2.25b + 2.25s
is one possible answer
What we can do is factor out the common 2.25 using the distributive rule in reverse.
Another possible answer is: 2.25(p + b + s)
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4
Answer:
2nd and third option
Step-by-step explanation:
The second option just combines the 6.5p and the 0.01p on the right side to obtain 6.49p. The third option just multiplies both sides by 100.
A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered pair (5, 2) is on the graphed line.
Part A: What is the price of 1 pound of cabbage? Show your work.
Part B: What does the ordered pair (10, 4) on the graph represent? Explain in words.
Answer:
Part A - 2/5 of a dollar
Part B - It shows that 10 pounds of cabbage cost $4
Step-by-step explanation:
If 5 pounds cost $2 then 1 pound costs 2/5 of a dollar.
(10,4) - 10 is the x-axis which is pounds and 4 is the y-axis which is $. So 10 pounds cost $4.
Work out the values of a, b, c and d.
Step-by-step explanation:
The are two angles ie. 45 and 80 than find the third angle
80 will be vertically opposite and alternative angle to a
5w-8x+20y+6z
Term:
Coefficient:
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex] \sf{5w\rightarrow coefficient = 5} [/tex][tex] \sf{-8x\rightarrow coefficient = -8} [/tex][tex] \sf{20y\rightarrow coefficient = 20} [/tex][tex] \sf{6z\rightarrow coefficient = 6} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Term refers to each variable or constant separated by a mathematical operator.
Coefficient refers to the numberic part of variable or a constant number present in an expression.
[tex]\qquad \tt \rightarrow \: 12a - 10b + 6[/tex]
[tex] \large\textsf{Terms :} [/tex]
[tex] \texttt{5w } [/tex][tex] \texttt{coefficient = 5} [/tex]
[tex] \texttt{-8x} [/tex][tex] \texttt{coefficient = -8 } [/tex]
[tex] \texttt{20y} [/tex][tex] \texttt{coefficient = 20} [/tex]
[tex] \texttt{6z} [/tex][tex] \texttt{coefficient = 6} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
If m varies directly with n , and m = 8 when n = 24 . what is the value of n when m = 12
Answer:
the answer will be 36
Step-by-step explanation:
if you divide 24 by 8 it will be 3 so then you multiply 12 times 3 and it's 36
Estimate the original volume of the pyramid in Fig. 15.28, given that its frustum has a 4 m by 4 m square top which is 12 m vertically above the square base which is 20 m by 20m.
The volume of the pyramid is 2496 cu.m.
What is a Pyramid ?A pyramid is a three dimensional structure which has a polygon base and in general triangular faces which join at the top .
It is given that
A pyramid [tex]\rm frustum[/tex] has a 4 m by 4 m square top
Height = 12 m
Base = 20 m
The volume of a square pyramid with a [tex]\rm frustum[/tex] is given by
V = (1/2) * ( Area of base + Area of [tex]\rm frustum[/tex] ) * height of the [tex]\rm frustum[/tex] from the base
V = 0.5 * ( 20 *20 + 4*4 ) * 12
V = 2496 cu.m
The volume of the pyramid is 2496 cu.m.
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find the range of the given function y= 8x +1, where x>2
Answer:
infinite or if where using whole numbers
y≥25
Hope This Helps!!!
Estimate the sum
6 13/28 + 8 3/32
Answer:
14 will be the answer...
Step-by-step explanation:
6 13/28 = 6
8 3/32 = 8
6 + 8 = 14
Out of 475 applicants for a job, 240 have 10 years experience and 83 have over 10 years experience and a graduate degree. what is the probability that a randomly chosen applicant has a graduate degree given that they have over 10 years of experience?
Answer:
1
Step-by-step explanation:
Could this be a tricky question? See the point:
240 have 10 years experience (exactly)and 83 have over 10 years experience and a graduate degreeCombining 1 and 2 the answer is 1Though it's inlikely that the first 240 people have only 10 years. Don't take this answer very seriously
PLEASE HELP ASAP
The value of "y" varies directly with "x" and
y=-8 when x = 20.
Find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.
y = 2
Answer:
Just think of which number, when you multiply it with 20 will give you -8
and then you multiply that number with -4 to get y. Hope it helps!
Half the product of two numbers is 36 if one number is 9 what is the other number
Answer:
x=9
y=?
36= 1/2(x*y)
36 *2 = 2* 1/2 (9*y)
72 = 9*y
72/9= 9*y/9
8=y
The other number is 8.
