Answer:
a
Step-by-step explanation:
because
Answer:The equation that is given, h = –16t 2 + 64t + 8, represents the general formula of the motion which is h(t) = h0 + v0t - 16t² where h0 is the initial height (8 feet), v0 is the initial velocity (+64 ft/s) and t is time in seconds. To determine the time when the ball is at the maximum height, we need to determine the vertex of the parabola which is done as follows:
vertex = time at maximum height = -b/2a = -64 / 2(-16) = 2 seconds
The maximum height can be calculated by substituting the time we obtained to the function.
h = –16t 2 + 64t + 8
h = –16(2)^2 + 64(2) + 8 = 72 feet
Step-by-step explanation:
A pencil case with a cylinder shape with diameter= 10 cm
and height = 12 cm .
What is the length of the longest pencil that can fit in the pencil case?
Answer:
length of the longest pencil that can fit must be less than 13cm
Step-by-step explanation:
To get the longest pencil that fit the case, we will use the pythagoras theorem;
diameter = 10cm
radius = 10/2
radius = 5cm
Height = 12cm
Get the length of the longest side
l² = r²+h²
l² = 5²+12²
l² = 25 + 144
l² = 169
l = √169
l = 13cm
Hence the length of the longest pencil that can fit must be less than 13cm
List the intercepts and test
for symmetry
y = x² - 2x-8
Answer:
heloooooooooooooooooooooio
Step-by-step explanation:
oooooooooo oooooooooo oooooooooo
Y’all know the answer?
9514 1404 393
Answer:
(b) 36 in²
Step-by-step explanation:
The right triangle at lower right has a vertical leg of 3 and a hypotenuse of 5. Then the horizontal leg is ...
√(5² -3²) = √16 = 4
Then the horizontal diagonal is 4+4 = 8. The vertical diagonal is 6+3 = 9. The area is half the product of the diagonals, so is ...
A = 1/2(d1)(d2) = 1/2(8 in)(9 in) = 36 in²
__
You could figure the areas of the triangles separately, but you would come to the same result. This formula is good for a rhombus or a kite (or a square, which is also a rhombus), because the diagonals are perpendicular to each other.
quick question ) if a person buys a new mobile phone every 18 months, how many phones will they buy in 6
years?
Answer:
4
Step-by-step explanation:
6 times 12 is 72
72 divided by 18 is 4
can you help me find the code
link/picture in the comments
Answer:
????? sus
Step-by-step explanation:
sussy baka????
among sus
simpifly this expression, i only need answer b :)
Answer:
1) x³y²
2) 6x²y³
Step-by-step explanation:
hope it helps...
The coordinates of the turning point of the parabola whose equation is y = x2 — 6x + 8 are A. (3, 35) C. (-3, 35) B. (-3, —1) D. (3. —1)
Answer:
D. (3. —1)
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Turning point of a quadratic function:
The turning point of a quadratic function is the vertex.
y = x2 — 6x + 8
This means that [tex]a = 1, b = -6, c = 8[/tex]
Now, we find the vertex.
[tex]x_{v} = -\frac{b}{2a} = -\frac{-6}{2(1)} = 3[/tex]
[tex]\Delta = b^2-4ac = (-6)^2-4(1)(8) = 36 - 32 = 4[/tex]
[tex]y_{v} = -\frac{4}{4(-1)} = -1[/tex]
(x,y) = (3,-1), and the correct answer is given by option D.
The function f(x)= StartRoot negative x EndRoot is shown on the graph.
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2).
Which statement is correct?
The range of the graph is all real numbers less than or equal to 0.
The domain of the graph is all real numbers less than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.
Answer:
The domain of the graph is all real numbers less than or equal to 0
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
The domain of the graph is all real numbers less than or equal to 0.
SOMEONE PLEASE HELP THIS IS DUE TOMROROW EZ WORK
PLEASE ANSWER THEM PROPERY FULL SENTENCES
Answer:
1.) At times, designing a good structure with a specific function may often be difficult. If the structure is not well-designed or strong enough for the function it will not properly work. So in order for the design to be well-built, both the structure and function must cooperate.
2.) Symmetry is a balanced arrangement on the opposite sides of a structure. In order for for a structure to be stable and properly work without complications, it most commonly needs to be symmetrical. This is a very important part of designing a structure.
3.) If the structure cannot withstand the function nor the possible forces that it may encounter. It is likely that it will break or even be completely destroyed.
4.) Shape, line, color, texture, movement, space. The designer may have taken into consideration whom the desk may be used by for the shape and space. Color, texture, and line may have been based on the environment (ex. A carpenter, student, computer desk) it would be in. Although the designer may not have an exact knowledge of where the desk would be, he still could consider what the desk could "possibly" be used for. Once again, the designer could take into consideration the user, for the movement of the desk. If the desk was to be moved around on wheels, or possibly could even fold. The designer must take into consideration EVERY detail.
6.) When people design something, often times you do not know how well that design is going to work without testing it with a prototype. Yes, prototypes are expensive. Yet, if they were to build something without testing their design, something may be wrong with it. So as a result, you will spend more money manufacturing something with a defect than testing it with a prototype.
For question 5, I think it might be best if you answer that one. It is based on YOUR opinion and what YOU use. If you are asked about it, they will know it's from you and your opinion. Lol! But I hope I helped you out with the other questions! ;)
A teacher is buying supplies for two art classes. For class 1, the teacher buys 24 tubes of paint, 12 brushes, and 17 canvasses. For class 2, the teacher buys 20 tubes of paint, 14 brushes, and 15 canvasses. Each tube of paint costs $3.35, each brush costs $1.75, and each canvas costs $4.50. Compute the following matrix multiplication to determine how much the teacher spent on each class.
A circle has a center at (-2, 5) and a radius of bold 3 square root of bold 2units. What is the equation of the circle in standard form?
Given:
The center of the circle = (-2,5)
The radius of the circle = [tex]3\sqrt{2}[/tex] units.
To find:
The equation of the circle is standard form.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is the center of the circle and r is the radius of the circle.
It is given that the center of the circle is (-2,5). So, [tex]h=-2,\ k=5[/tex].
The radius of the circle is [tex]3\sqrt{2}[/tex] units. So, [tex]r=3\sqrt{2}[/tex].
Putting [tex]h=-2,\ k=5[/tex] and [tex]r=3\sqrt{2}[/tex] in (i), we get
[tex](x-(-2))^2+(y-(5))^2=(3\sqrt{2})^2[/tex]
[tex](x+2)^2+(y-5)^2=18[/tex]
Therefore, the equation of the circle is [tex](x+2)^2+(y-5)^2=18[/tex].
Using the trend line y = 2x + 15, for the data shown, complete the residual table.
Given:
The data table is given.
The equation of trend line is:
[tex]y=2x+15[/tex]
To find:
Values for residual table.
Solution:
Formula for residual:
[tex]Residual=\text{Observed value}-\text{Predicted value}[/tex]
The equation of trend line is:
[tex]y=2x+15[/tex] ...(i)
Substituting [tex]x=5[/tex] in (i), we get
[tex]y=2(5)+15[/tex]
[tex]y=10+15[/tex]
[tex]y=25[/tex]
The value of y from the table at [tex]x=5[/tex] is 25. So,
[tex]Residual=25-25[/tex]
[tex]Residual=0[/tex]
Similarly,
Substituting [tex]x=6[/tex] in (i), we get
[tex]y=2(6)+15[/tex]
[tex]y=12+15[/tex]
[tex]y=27[/tex]
The value of y from the table at [tex]x=6[/tex] is 28. So,
[tex]Residual=28-27[/tex]
[tex]Residual=1[/tex]
Substituting [tex]x=7[/tex] in (i), we get
[tex]y=2(7)+15[/tex]
[tex]y=14+15[/tex]
[tex]y=29[/tex]
The value of y from the table at [tex]x=7[/tex] is 29. So,
[tex]Residual=29-29[/tex]
[tex]Residual=0[/tex]
Substituting [tex]x=8[/tex] in (i), we get
[tex]y=2(8)+15[/tex]
[tex]y=16+15[/tex]
[tex]y=31[/tex]
The value of y from the table at [tex]x=8[/tex] is 30. So,
[tex]Residual=30-31[/tex]
[tex]Residual=-1[/tex]
Substituting [tex]x=9[/tex] in (i), we get
[tex]y=2(9)+15[/tex]
[tex]y=18+15[/tex]
[tex]y=33[/tex]
The value of y from the table at [tex]x=9[/tex] is 32. So,
[tex]Residual=32-33[/tex]
[tex]Residual=-1[/tex]
Therefore, the complete residual table is:
x : 5 6 7 8 9
Residuals : 0 1 0 -1 -1
An arc on a circle of radius 10 has an arc length of 49/9 . What is the degree measure of the corresponding central angle?
Hope this help!!!
Have a nice day!!!
Answer:
Central angle = 98 degrees
Step-by-step explanation:
Radius (r) = 10 Arc length = 49[tex]\pi[/tex]/9
Let 0 be the central angle
Arc Length = 2[tex]\pi[/tex]r0/360
49[tex]\pi[/tex]/9 = 2[tex]\pi[/tex]r0/360
49[tex]\pi[/tex]/9 = [tex]\pi[/tex]x0/18
49[tex]\pi[/tex]/9 x 18/[tex]\pi[/tex] = 0
0 = 49x2
0 = 98 degrees
Malik wanted to give away \frac{1}{5} 5 1 of his bag of balloons to his 3 friends. What fraction of balloons will he give away?
Answer:
The answer is 3/5
Step-by-step explanation:
The amount of balloon to be given away= 1/5
The number of friends to
receive the balloon = 3
Therefore the total fraction of balloons that he gave away = 1/5 × 3
=3/5
30/20+30/40 simplify the equation
Step-by-step explanation:
LCM of 20 and 40 is 40
So,
60/40+30/40
90/40.... Answer
hope it helps
Approximately how long will it take $200 to double to $400 when the annual interest rate is 8 1/2?
Answer:
200/17 years
Step-by-step explanation:
Simple interest = (principle * time * rate) / 100i
help quickly pls! i will give thanks, rate, and maybe a brainliest!
Answer:
false
Step-by-step explanation:
1+2/5 = 5/5 + 2/5 = 7/5
A group of 31 friends gets together to play a sport. First, people must be divided into teams. Each team has to have exactly 3 players, and no one can be on more than one team. How many teams can they make?
Answer:
10, 1 remaining
Step-by-step explanation:
Each team can have 10 people but there will be a remaining person that will not be able to participate.
31 ÷ 3= 10.33333333
Hope this helped :)
12) Compare. Use <, >, or =. 665.5 - 281.7_1
373.8
Answer:
383.8 = 383.8
Step-by-step explanation:
665.5-281.7 ? 373.8
383.8 = 383.8
find the value of unknown angles x,y,z
Answer:
the value of x is 50°mark the brainliest plzz
Answer:
Step-by-step explanation:
Remember :
1.if the two angles ae co interior angles their sum must be 180 degree.
2.If the two angles are corresponding angles they must be equal.
3.If the two angles are alternate interior or also said as alternate angles then they must also be equal.
4.If two angles are vertically opposite angles then they must be equal.
5.If two angles are alternate exterior angles then they must be equal.
which pairs of angles in the figure below are vertical angles select all that apply
Answer:the left one
Step-by-step explanation:
Which polynomial below could produce this graph?
Answer:
f(x) = (x + 20)(x - 24)(x + 10)(x + 12)
Step-by-step explanation:
This is an equation of degree 4 and as the beginning of the graph descends from negative x the polynomial will have a positive leading coefficient. The graph is roughly W shaped.
It also has zeroes at x = -20,-12 ,-10 and x = 24.
So it is the first option.
Gary buys a skateboard for
$145. What's the total cost
including 6% sales tax?
Answer:
$8.6
Step-by-step explanation:
The total tax is 8 dollars and 60 cents
Answer:
$153.70
Step-by-step explanation:
Sales tax is applied to things that are sold by a retailer. So if it says 6% tax is levied on the item, that means the total cost will be the initial cost of skateboard ($145) + sales tax (6% of 145) = 145 + 8.7 = $153.70
During the carnival, tickets were sold for a raffle. Carnival workers counted sales every 30 minutes. The number of tickets sold were: 123, 145, 110, 256, 123. What was the median number of tickets sold?
Answer:
123
Step-by-step explanation:
First arrange in ascending or descending order
110,123,123,145,256
Then pick the number in the middle which is 123
but if you have 2 middle numbers add them together and divide by 2
Mixing 4 ml of red paint and 15 ml of yellow paint makes orange paint. How much red would be needed if you use 1500 ml of yellow paint?
Answer:
Amount of red paint needed for 1500 ml yellow paint = 400 ml
Step-by-step explanation:
Given:
ration of red paint to yellow paint = 4 ml to 15 ml
Find:
Amount of red paint needed for 1500 ml yellow paint
Computation:
Amount of red paint needed for 1500 ml yellow paint = [ration of red paint to yellow paint]1500
Amount of red paint needed for 1500 ml yellow paint = [4/15]1500
Amount of red paint needed for 1500 ml yellow paint = [4]100
Amount of red paint needed for 1500 ml yellow paint = 400 ml
Find the value of x in each triangle. Please help me <33
Answer:
x = 11
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 4 + 6x - 3 + 4x + 14 = 180 ← collect like terms on left side
15x + 15 = 180 ( subtract 15 from both sides )
15x = 165 ( divide both sides by 15 )
x = 11
A line has a slope of -1/4 and passes through point
(-5/4, 1)
What is the equation of the line?
Answer:
y = -1/4 x+11/16
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -1/4x+b
Substitute the point in for x and y
1 = -1/4(-5/4) +b
1 = 5/16 +b
16/16 = 5/16 +b
Subtract 5/16 from each side
11/16 = b
y = -1/4 x+11/16
Answer:
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{4}[/tex] , then
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute ( - [tex]\frac{5}{4}[/tex], 1 ) into the partial equation
1 = [tex]\frac{5}{16}[/tex] + c ⇒ c = 1 - [tex]\frac{5}{16}[/tex] = [tex]\frac{11}{16}[/tex]
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]
i’m horrible at math, can anyone help?
Answer: no I'm actually horrible at math too sorry
I just need help on this is all
find (a) the perimeter and (b) the area of the figure. use 3.13 or 22/7 for n. round your answer to the nearest hundredth, if necessary
Answer:
;)))
Step-by-step explanation:
