Answer
First one is A
Second one is B
Third one is D
Problem 1
Answer: Choice A
(30, 225); Rocket reaches max height of 225 ft after 30 seconds.
-------------------
Explanation:
Distribute the 0.25 through to get
y = 0.25(60x-x^2)
y = 15x - 0.25x^2
y = -0.25x^2 + 15x
This is in standard form y = ax^2+bx+c with a = -0.25, b = 15 and c = 0.
The first two values mentioned lead to this x coordinate of the vertex.
h = -b/(2a)
h = -15/(2*(-0.25))
h = -15/(-0.5)
h = 30
This tells us the answer is between A and C.
If you were to plug x = 30 into the original equation, you'll get y = 225. It means that after x = 30 seconds, the rocket has reached its max height of 225 feet. Therefore, the answer must be choice A.
===========================================================
Problem 2
Answer: Choice B
(x-3)^2 = -8(y-6)
-------------------
Explanation:
vertex = base of the bulb = (3,6)
focus = top of the bulb = (3,4)
This flashlight is pointed downward, which forms a downward opening parabola.
The distance from the vertex to the focus is p = 2 units. This is known as the focal distance.
We'll plug that in along with the vertex (h,k) = (3,6) in the formula below
4p(y-k) = (x-h)^2
4*2(y-6) = (x-3)^2
8(y-6) = (x-3)^2
Unfortunately that equation above produces a parabola that opens upward. To fix things, we stick a negative out front on either side, which will reflect the parabola over the x axis to make the parabola open downward. That leads us to choice B.
===========================================================
Problem 3
Answer: D) square
-------------------
Explanation:
We can form a point by intersecting the plane through the point where the two cones meet. The plane needs to be parallel to the base of each cone.
We can also form a line. To do so, we intersect the plane at exactly along the edge of the cone. Make the plane tangent to the cone.
Lastly, we can form a circle by intersecting any plane parallel to the cone's base. This plane cannot pass through the meeting point of the two cones. Rather, the plane passes through one of the cones.
Those three previous paragraphs mean that we can rule out choices A,B,C. The only thing we can't form is a square. We can form straight lines, but we cannot form perpendicular lines needed to get a square. Nice work on selecting the correct answer.
EXERCISE 11D
1. Draw MON = 81° and bisect it.
2. Draw an angle of measure 175°.
3. Construct a right angle and then bisect it.
4. Draw ABC= 162º and divide it into four equal parts.
5. Construct the following angles using a ruler and compass. a 60° b. 30° C. 120° d. 135°
6. Draw an angle of 107° and make a copy of it. Verify your construction by ac measurement. a.
7. Draw an angle of 83º. Make a copy of its complementary angle.
✅help me to solve this
1. Draw MON = 81° and bisect it.
2. Draw an angle of measure 175
3. Construct a right angle and then bisect it.
Draw ABC = 162° and divide it into four equal parts.
5. Construct the following angles using a ruler and compass.
120°
find the value
9-2(--6-4)
Which equation best matches the graph shown below?
Answer:
y= 10x² + 7x + 2.8
Step-by-step explanation:
because the 10x was used twice then the it went to the line of 7x and went down to 2.8 then for the second time it went to 10x
Answer:
-10x^2+7x+4 Would be the correct option
Please thank my question. :)
12. TEKS 21
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white coples, and the rest were color copies.
.
Each black-and-white copy cost $0.08.
Each color copy cost $0.15.
.
Which system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop?
The system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop is
b + c = 68
b + c = 680.08b + 0.15c = 6
Given:
Total amount paid = $6.00
Total copies = 68
cost of black-and-white copy = $0.08
cost of color copy = $0.15
let
number of black-and-white copies = b
number of color copies = c
The equation:
b + c = 68
b + c = 680.08b + 0.15c = 6
Therefore, the system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop is
b + c = 68
b + c = 680.08b + 0.15c = 6
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Simplify fully
x2 - 9
3x2 + 8x - 3
+
X-3
x+2
(-3x³+2x²+4x+24) (x-2)
---------------------------------
8x
Please help me!! I don't understand
No linksssss
Answer:
thanks haahhahahaha
Step-by-step explanation:
If the first 5 terms of an infinite geometric sequence are 100, 60, 36, 21.6, and 12.96, then the sum of all the terms in the sequence is ______
Answer:
Step-by-step explanation:
r=60/100=0.6<1
[tex]S_{\infty} =\frac{a}{1-r} \\=\frac{100}{1-0.6} \\=\frac{100}{0.4} \\=\frac{1000}{4} \\=250[/tex]
!PLEASE ANSWER ASAP! THANK YOU!
if g(n) varies inversely with n and g(n) = 9 when n = 4 then find the value when g(n)=8.
round final answer to the tenths place. if answer is a whole number then put a zero in the tenths place before entering your answer.
Answer:
Step-by-step explanation:
I'm ASSUMING you want to find n where g(n) = 8
g(n) = a/n
g(4) = 9 = a/4
a = 36
g(n) = 8 = 36/n
n = 36/8 = 4.5
The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.
Using the midpoint formula, the coordinates of endpoint H are (4, -6).
The Midpoint FormulaThe midpoint formula is given as: [tex](x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]
Where,
[tex](x_m, y_m)[/tex] = coordinates of the midpoint
[tex](x_1, y_1)[/tex] = coordinates of the first point
[tex](x_2, y_2)[/tex] = coordinates of the second point
Given the following:
[tex](x_m, y_m)[/tex] = M( 6,-4)
[tex](x_1, y_1)[/tex] = G(8,-2)
[tex](x_2, y_2)[/tex] = H(?, ?)
Plug in the values into the midpoint formula
[tex]M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )[/tex]
Solve for the x-coordinate and y-coordinate separately
[tex]6 = \frac{8 + x_2}{2}[/tex]
Multiply both sides[tex]6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}[/tex]
[tex]-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}[/tex]
Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).
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Supposed there is a 1.3f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 61.9f what will be the temperature when the plane reaches an altitude of 8,000ft
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer:
51.5
Step-by-step explanation:
8000/1000=8
8x1.3=10.4
61.9-10.4
Curtis has started to bike every day. His goal is to ride 16.5 kilometers each day. He bikes of that distance on Monday. He bikes 3.5 fewer
kilometers on Tuesday than he did on Monday.
How many kilometers did Curtis bike on Monday and Tuesday combined? Enter the answer in the box.
kilometers
help
Answer:29.5 kilometers
Step-by-step explanation: 16.5-3.5=13 then you add 13 and 16.5
The solution is: Eric biked total 1.875 Km.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
On Monday, Eric biked = 1 Km 125 m
= 1.125 Km
On Tuesday, Eric biked = 1.125 Km - 375 m
= 1.125 - 0.375 Km
= 0.75 Km
So, Eric biked on both day
=1.125 + 0.75
= 1.875 Km
Hence, Eric biked total 1.875 Km.
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complete question:
Eric biked 1 kilometer 125 meters on Monday. on Tuesday, he biked 375 meters less than on Monday how far did he bike both days
Solve
5 + 3 ( x - 1 ) = 5x - 6
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given )
Step-by-step explanation:
follow the steps in the picture. I've started it for you all you need to do is finish
Using y = 1 − 2x, plot the ordered pairs from the table. Then graph the function represented by the ordered pairs and tell whether the function is linear or nonlinear.
Helppp plzz due in 20 min
Find the perimeter of the figure. Use 3.14 for 7 and round to at least 1 decimal place.
Answer:
the perimeter of the figure is 27.4 mi
Step-by-step explanation:
rectangle perimeter = 6+6+6 = 18
half circle perimeter = 1/2 2πr = 3.14 × 3 = 9.42
the perimeter of the figure is 18+9.42 = 27.42 --> 27.4 mi
7 cm
rom
This quarter circle has a radius of 7 centimeters.
What is the area of this figure?
Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer
to the nearest hundredth
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Area of quarter = 1/4 × Area of whole circle
that is ~
[tex] \sf \dfrac{1}{4} \times \pi {r}^{2} [/tex][tex] \sf \dfrac{1}{4} \times 3.14 \times 7 \times 7[/tex][tex] \sf \dfrac{153.86}{4} [/tex][tex] \sf \approx38.46 \: \: cm {}^{2} [/tex]
Helpppo for an exammmm
Answer:
AAS
Step-by-step explanation:
Help with this please?
Does the expressions
[tex] \sqrt{100 - 64} [/tex]
and
[tex] \sqrt{100 - \sqrt{64} } [/tex]
have the same value?
Answer:
No. they have a difference in value
the first ans is 6 while the second gives 9.56
Two angles of a quadrilateral measure 215° and 70°. The other two angles are in a ratio of 2:13. What are the measures of those two angles?
The sum of the interior angles of a quadrilateral is 360°.
The ratio of 2 angles is 2 : 13. Take them as 2x° & 13x°.
Now, solve for x.
[tex]\mathfrak{215+70+2x+13x=360} [/tex]
[tex]\mathfrak{285+15x=360} [/tex]
[tex]\mathfrak{15x=360-285} [/tex]
[tex]\mathfrak{15x=75} [/tex]
[tex]\mathfrak{x=\dfrac{75}{15}} [/tex]
[tex]\underline{\mathfrak{x=5}} [/tex]
So,
2x = 2(5) = [tex]\boxed{\mathfrak{10^{\circ}}} [/tex]
13x = 13(5) = [tex]\boxed{\mathfrak{65^{\circ}}} [/tex]
[tex]\mathbb{MIREU} [/tex]
What’s the y-intercept
Y-14=6(x-2.5)
Answer:
[tex]y=-1[/tex]
Step-by-step explanation:
[tex]y-14=6(x-2.5)[/tex]
[tex]y-14=6(0-2.5)[/tex]
[tex]y-14=6(-2.5)[/tex]
[tex]y-14=-15[/tex]
[tex]y=-1[/tex]
the points (0, p) and (1, 4) lie on a line with a slope of 3. what is the value of p?
Answer:
p=1
Step-by-step explanation:
[tex]\frac{4-p}{1-0}[/tex]=3
4-p=3
p=1
Men to women working for a company is 2 to 3 if there are 80 employees total how many men work for the company
Answer:
48
Step-by-step explanation:
because if there is 48 men there is 32 women therefor making 80 employees
David invests $10,000 in a savings account that pays 3.5% simple interest. If David
makes no withdrawals or deposits to the account, how much will be in the
account after 7 years.
Answer:
David will have $12,450 if he makes no withdrawals.
sixty students at gillette road middle school play a winter modified sport. if there are 500 students in the middle school, what percent of students play a sport
Answer:
60/500=0.12
so 12%
Hope This Helps!!!
PLEASE SOMEONE HELP ME OH LORD PLEASE I BEG U
Answer:
It's 30 because there is an average of 30 days in a month and the person has to take 1mg a day for a month
Step-by-step explanation:
Hope this helps
May I get braineist pls?
Are these shapes similar?
yes or no
Answer:
I’d say yes.
If you stretched the second shape then I think both shapes would look similar.
a dogs hair grew 2 1/2 inches in 12 1/2weeks how long will the hair grow in 1 week?
Answer:
0.2 inches
Step-by-step explanation:
12.5 weeks = 2.5 inches
1 week = p inches
Cross multiply
12.5p = 2.5
Divide both sides by 12.5
p = 2.5 / 12.5
p = 0.2 inches
Hence, the length grown in 1 week is 0.2 inches
Hope I Helped You:)
evaluate 3c + 6y for c=5 and y=6
Answer:
51
Step-by-step explanation:
because 3(5)+6(6)
Answer:
51
Step-by-step explanation:
3c+6y
3(5)+6(6)
15+36
51
what is the slope of (8,3) (-5,3)
Answer:
-13x. (I think)
Step-by-step explanation: