Answer:
C
Step-by-step explanation:
Since XY = XZ = 6, then the triangle is isosceles.
The base angles are therefore congruent, that is
∠ Y = ∠ Z = 70°
The sum of the 3 angles in the triangle = 180°, thus
∠ X = 180° - (70 + 70)° = 180° - 140° = 40° → C
David kicks a ball off the ground. After t seconds, it’s height, h (in feet), is given by the formula h=-16t^2+80t. How many seconds does the ball reach its maximum height? What is the maximum height reached by the ball?
Answer:
The ball reaches its maximum height at 2.5 seconds
The maximum height is 100 feet
Step-by-step explanation:
Maximum Value of Functions
We use the derivative of a function to find its maximum or minimum value over a given interval.
Given a function y=f(x), the first derivative criterion establishes if x=a is such that:
f'(a)=0, and f''(a) < 0 then x=a is a maximum of f.
The height h in feet of a ball after t seconds is:
[tex]h(t)=-16t^2+80t[/tex]
Find the first derivative:
[tex]h'(t)=-32t+80[/tex]
Equate to 0:
[tex]-32t+80=0[/tex]
Subtract 80:
[tex]-32t=-80[/tex]
Divide by -32:
[tex]t = -80 / (-32) = 2.5[/tex]
t=2.5 seconds
Find the second derivative:
h''(t)=-32
Since h''(t) is always negative, then
The ball reaches its maximum height at 2.5 seconds
To find the value of the maximum height, substitute t=2.5 into the function:
[tex]h(2.5)=-16(2.5)^2+80*2.5=-100+200 = 100[/tex]
The maximum height is 100 feet
ugh god im getting sick of this lol
how many comments dose the cat video get and how many dose the dog get
Answer: 8 cat videos 7 dog videos
No
Step-by-step explanation:
Suppose point C is at (–1, –1). Use the numbers below to explain the distance that a fourth point, D, should be from the existing points to form a square. Numbers may be used once, more than once, or not at all.
Answer:
whats the anwserrrrrrrr
Step-by-step explanation:
Answer:1/2 1/2 1/2 1/2 All the way through.
Step-by-step explanation:
Write the statement below as a math expression
twice the difference of a number and eight
A.
2n+8
B.
2n-8
C.
2(n+8)
D.
2(n-8)
25 penalties decreased by 32% is __penalties.
help
determine the quotient of 1 and 1 over 3 divided by 3 over 5 . (2 points)
Answer:
1/2 or .5
Step-by-step explanation:
1/3 / 3/5=.5
Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
Answer:
Malcom's family travel 15 miles per hour faster than Theo's
Step-by-step explanation:
See attachment for complete question
Given
Malcom's Family:
[tex]d = 65t[/tex]
To determine the equation of Theo's family, we refer to the attached graph.
From the graph:
[tex]t = 1; d = 50[/tex]
[tex]t = 2; d = 100[/tex]
First, we determine the slope, m:
[tex]m = \frac{d_2 - d_1}{t_2 - t_1}[/tex]
[tex]m = \frac{100 - 50}{2- 1}[/tex]
[tex]m = \frac{50}{1}[/tex]
[tex]m = 50[/tex]
Next, we determine equation for Theo's family using:
[tex]d - d_1 = m(t - t_1)[/tex]
[tex]d - 50 =50(t - 1)[/tex]
[tex]d - 50 =50t - 50[/tex]
Add 50 to both sides
[tex]d - 50 +50=50t - 50 + 50[/tex]
[tex]d =50t[/tex]
So, we have the following:
[tex]d = 65t[/tex] --- For Malcom's family
This implies that Malcom's family travel at 65 miles per hour
[tex]d =50t[/tex] --- For Theo's family
This implies that Theo's family travel at 50 miles per hour
The difference between this rates is:
[tex]Rate = 65t - 50t[/tex]
[tex]Rate = 15t[/tex]
Which implies that Malcom's family travel 15 miles per hour faster than Theo's
3Hg(NO3)2
Please help me with this
Answer:
whats the question
Step-by-step explanation
what do i gotta do??
hey guys i need help with this im on a timed test so pls hury whats 1+1.
Answer:
one plus one equals two
Step-by-step explanation:
please help me fast
I give you 100 point
Answer:
a. 372
b. 708
c. 451
d. 805
e. 965
f. 620
Step-by-step explanation:
PLEASE HELPPP!!! If possible how would you prove the given triangles congruent??
Pls help first right awnser get brainliest.
i want awnser for the last one
Answer:
([tex]\frac{2}{3}[/tex], 2 )
Step-by-step explanation:
Given the 2 equations
3x + [tex]\frac{1}{2}[/tex] y = 3 → (1)
6x - y = 2 → (2)
Multiplying (1) by - 2 and adding to (2) eliminates the term in x, that is
- 6x - y = - 6 → (2)
Add (2) and (3) term by term to eliminate x
- 2y = - 4 ( divide both sides by - 2 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (2)
6x - 2 = 2 ( add 2 to both sides )
6x = 4 ( divide both sides by 6 )
x = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
Solution is ( [tex]\frac{2}{3}[/tex], 2 )
Which graph represents 2x − 5y ≥ − 20
Answer:
Go to desmos and it will answer literally all of your graphing questions. Just type in desmos graphing calculator.
Step-by-step explanation:
The density of a certain material is such that it weighs 4 kilograms per cup of volume. Express this density in pounds per liter. Round your answer to the nearest tenth.
Pls help
Answer: 37.2 pounds per liter
Step-by-step explanation:
The density of the material of 4 kg/cup on converting it into pounds per litre will be 37.2 lbs/lt.
Given that, the density of a certain material is such that it weighs 4 kilograms per cup of volume.
What are derived units?Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the international system of units (SI). There are two types of derived units: dimensionless and the product of base units.
Here it is given that, the density d of a certain material is 4 kilograms per cup of volume and it is finding the density of material in pounds per litre.
Now it is known that,
1 kg equals 2.2 pounds
Now, 1 cup of volume equals 0.237 lt.
Converting the density d of material in pounds per litre and rounding it to the nearest tenth:
d=4 kg/cup
=4×2.2/0.237
=37.13≈37.1 pounds/lt
Therefore, the density of the material of 4 kg/cup on converting it into pounds per litre will be 37.2 lbs/lt.
To learn more about the density visit:
https://brainly.com/question/15164682.
#SPJ2
Solve the equation.
4n−18=5
Answer:
n = 5.75
Step-by-step explanation:
4(5.75) - 18 = 5
4(5.75) = 23
23 - 18 = 5
Therefore, n = 5.75.
Hope this helps:)
I would appreciate it if you gave me brainliest. Thanks.
|2x-7| ≤ 11
Solve. Graph the solution set on a number line.
Answer:
Answer in pictures attached.
Step-by-step explanation:
You're welcome!
Science, technology, engineering and mathematics or STEM education was an initiative developed by the________________.
A. National Science Foundation
B.National Scholar Foundation
C. National Schools Foundation
D. National Secondary Foundation
Answer:
A
Step-by-step explanation:
look it up on google
Answer:
d
Step-by-step explanation:
The math teachers at Newport High School had never golfed before. They set up a friendly competition to see who would have the best round on a full course. The teachers practiced on a driving range the week before they played.
Answer:
hjkhj8008898
Step-by-step explanation:
What can you conclude about the line represented in the table? Select all that apply and have a good day!
Answer: B, C, and F
Step-by-step explanation:
anyone whos great at math?!?!?!?!!? the question is [tex]-x^2 -4xy+y^2 when x=-5 and y=-2[/tex]
I ALSO NEED TO SHOW MY WORKK PLAESEEEEE
Answer:
-19
Step-by-step explanation:
x= -5 y = -2
-x^2 - 4xy + y^2
- -5^2 -4(-5 x -2) -2^2 Plug in
+ 5^2 -4(-5 x -2) -2^2 Change the signs for - -5
5^2 - 2^2 - 4(10) Place Liked Terms together
25 - 4 - 40 Subtract
21 - 40
-19
Find the equation of a parabola that has a vertex of (3,7) and contains the point (-2,-6)
Answer:
Step-by-step explanation:
What is the congruence statement?
Answer:
triangle pjl is congruent to it's by side side side theorem
How do you write 86.2 in scientific notation?
x 10
Submit
how many solutions it got (
Follow the order of operations.
(4-1 + 8 ÷ 8) muliplied by 5
Answer:
20
Step-by-step explanation:
(4-1 + 8 ÷ 8 )= 4
4 x 5 = 20
please answer correctly
2 + 3( 4x + 5) = -53
Answer:
x=-35/6
Step-by-step explanation:
2 + 3( 4x + 5) = -53
subtract 2 from both sides= 3(4x+5)=-55
divide both sides by 3 = 4x+5=-55/3
subtract both sides by 5 = 4x=-70/3
divide both sides by 4 = x=-35/6
x=-35/6 is your final answer
Answer:
Hope this helps :)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=−35/6
Decimal Form:
x=−5.8¯3 (Repeating)
Mixed Number Form:
x=−5 5/6
Find the slope of the line that passes through (9, 8) and (6, 13).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-5/3
Step-by-step explanation:
Answer:
slope: -1.6666666
Step-by-step explanation:
Use the formula m=(y2-y1)/(x2-x1)
Substitute values: m=(13-8)/(6-9)
Solve that, and you will find m (slope) = -1.666666
Consider this equation: -3x - 5 + 2x = 6
Which is an equivalent equation after combining like terms?
A. -8 + 2x = 6
В. -3х - 3= 6
C. -3x - 5 = 4
D. -X - 5 = 6
Need a brainliest? Answer this !!! Correct and fast answers only!!
Answer:
B
Step-by-step explanation:
Any number times 1 is itself, thus the multiplicative identity property