Answers
Answer:
a.) 15 feet
b.) 3.25 seconds
c.) 17.1125 feet
d.) 12.5 seconds
Step-by-step explanation:
a
This is just asking for the y intercept
to get this just do h(0)= 15
b
This is asking for the x value of the vertex
solve that through -b/2a
-1.3/(2*-.2)= 3.25
c
This is asking for the y value of the vertex
to solve this plug in the x value from b
-.2*3.25²+1.3*3.25+15= 17.1125
d
This is asking for an x intercept
using the quadratic formula...
[tex]\frac{-b(+-)\sqrt{b^2-4*a*c}}{2a}=\frac{-1.3(+-)\sqrt{1.3^2-4*-.2*15}}{2*-.2}= -6, 12.5[/tex]
*note the (+-) before the radical is ± *
logic will tell us that a negative x intercept doesn't make any sense so we only take the positive value, 12.5
Related Questions
6. There were 900 sweets in 3 boxes, A, B and C. 18 sweets were transferred from A to B and 5
sweets were transferred from B to c. of the sweets in C were then transferred to A. There were
then an equal number of sweets in all 3 boxes. How many sweets were there in each box at first?
28
Answers
Answer: a=168, b=287, c=445
Step-by-step explanation:
Area of a trapezoid
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
6 cm
0
10 cm
8 cm
12 cm
Answers
Answer:
h
Step-by-step explanation:
h
Pls I’m confusedddddddddddd
Answers
Answer:
[tex]{ \bf{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( {3.82}) }^{2} }} \\ { \tt{ = 45.8 \: {m}^{2} }}[/tex]
Pls answer will mark as brainliest
Answers
Answer:
[tex]\theta = 64.8^o[/tex]
Step-by-step explanation:
Given
[tex]h = 500m[/tex] --- altitude
[tex]x = 235m[/tex] --- horizontal distance
Required
The angle of elevation [tex]\theta[/tex]
The question is illustrated with the attached image.
From the attachment,
[tex]\tan(\theta) = \frac{h}{x}[/tex]
This gives:
[tex]\tan(\theta) = \frac{500m}{235m}[/tex]
[tex]\tan(\theta) = 2.128[/tex]
Take arctan of both sides
[tex]\theta = \tan^{-1}(2.128)[/tex]
[tex]\theta = 64.8^o[/tex]
Alex drives at an average speed that is
1
5
of the average speed that Roy's train travels.
Alex takes 15 minutes to travel 12 km in her car.
Roy travels for 1 hour and 20 minutes on his train.
How far does Roy travel to 2 dp?
plz i need asap
Answers
Answer:
ayy sensya na po Yan din po hanap Kong answer
When we expand (2x + 1/2)^6, what is the coefficient on the x^4 term?
Answers
Answer: The coefficient before x^4 is 60
Step-by-step explanation:
Hey! So I am not an expert at this, but you have to use the binomial theorem
I have attached of the Pascals Triangle (one shows the row numbering as well)
Basically in a pascal triangle, you add the two numbers above it to get the next number below
As you can see, the rows start from 0 instead of 1
The 6th row contains the numbers 1, 6, 15, 20, 15, 6, 1 which would be the coefficient terms
NOTE: the exponents always add to 6, the first term starts at 6 and decrease it's exponent by 1 each time (6, 5, 4, 3, 2, 1, 0) and the second term increases it's exponent by 1 each time (0, 1, 2, 3, 4, 5, 6)
Using this information the third term from the sixth row (15) would be where it is x^4 (I have circled it on the second image)
It would be 15 × 2^4 × (1/2)^2 = 60
The reason why it is 2^4 and (1/2)^2 is because the third term has the exponents 4 and 2 (bolded on the NOTE) which means that the first term must be put to the power of 4 and the second term must be put to the 2nd power
Sorry for the lousy explanation. I really hope this makes sense! Let me know if this helped :)
Factor completely, then place the factors in the proper location on the grid. a8 - 12a4 + 36
Answers
Answer:
[tex]{ \tt{ {a}^{8} - {12a}^{4} + 36}} \\ = { \tt{ {a}^{4} ( {a}^{2} - 12) + 36 }} \\ = ( {a}^{2} - 12)( {a}^{4} + 36) \\ [/tex]
NO LINKS!! Stat whether A and B are independent or dependent. Part 2
Answers
Answer:
Step-by-step explanation:
A). "If you do not study and fail the next test"
Two statements are combined in the given statement.
"If you don't study" and "fail the next test"
Second statement is the consequence of the first statement.
Therefore, events are dependent.
B). If you select a card from a deck and without replacing it, you select another card.
Here, selection of a card from a deck without replacing it doesn't affects the selection of another card.
Therefore, both the events are independent.
A group of campers is going to occupy 6 campsites at a campground. There are 16 campsites from which to choose. In how many ways can the campsites be chosen?
Answers
Answer:
The campsites can be chosen in 5,765,760 different ways.
Step-by-step explanation:
Given that a group of campers is going to occupy 6 campsites at a campground, and there are 16 campsites from which to choose, to determine in how many ways the campsites can be chosen, the following calculation must be performed:
16 x 15 x 14 x 13 x 12 x 11 = X
240 x 182 x 132 = X
240 x 24,024 = X
5,765,760 = X
Therefore, the campsites can be chosen in 5,765,760 different ways.
a solid has volume 2 cubic units and surface area 10 square units. The solid is dilated, and the image has a volume 128 cubic units. What is the surface area of the image?
Answers
Step-by-step explanation:
the answer is 640. Hope this helps
The side length of dilated cubes is 10.08 units. Then the surface area of the dilated cube is 609.6384 square units.
What is dilation?Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
A solid has a volume of 2 cubic units and a surface area of 10 square units.
The solid is dilated, and the image has a volume of 128 cubic units.
Let the original side length of the cube be a and dilated length of the cube be b.
The value of a will be
[tex]a^3 = 2\\\\a \ = 1.26[/tex]
Then the ratio of their volume will be
[tex]\rm \dfrac{b^3}{a^3} = \dfrac{Dilated \ volume }{Original \ volume }\\\\\\\dfrac{b^3}{a^3} = \dfrac{128}{2}\\\\\\\dfrac{b^3}{a^3} = 64\\\\\\\dfrac{b}{1.26} = 8\\\\\\b \ = 10.08[/tex]
Then the surface area of the dilated cube will be
[tex]\rm Dilated \ surface \ area = 6 *10.08^2\\\\Dilated \ surface \ area = 6*101.6064\\\\Dilated \ surface \ area = 609.6384 \ square \ units[/tex]
More about the dilation link is given below.
https://brainly.com/question/2856466
solve for surface area
formula for cube:
SA = 2 (s times s) + (4s) ( H)
Answers
Please mark brainliest
Y=x^3/2(x^2+1) I need the steps.
Answers
Answer:
0
Step-by-step explanation:
If you are looking for the x- intercept image is below
if you are looking for the y- intercept its the same as the x. Image is below
If angles of measures (x - 2) and (2x + 5) are a pair of supplementary angles, find the measures of those angles
Answers
Answer:
Solution: Since (x - 2)° and (2x + 5)° represent a pair of supplementary angles, then their sum must be equal to 180°. Therefore, the two supplementary angles are 57° and 123
Y=4x pls help pls help
Answers
Answer:
(1,4) , (3,12) , (5,20)
Step-by-step explanation:
You should put the first number in X and find the second number from equation.
What is the y-intercept of the quadratic function below?
There is no y-intercept
(0, -1)
(-4, 0)
(-2, 3)
Answers
d. Pic
d. Z-a
PART II. ACTIVITIES
. Encircle the letter of the correct answer.
1. It contains two related data. It has horizontal axis and vertical axis.
a. Pie Graph
b. Bar Graph c. Line Graph
2. What do you call the horizontal axis of the line graph?
a. w-axis
b. x-axis
c. y-axis
3. What do you call the vertical axis of the line graph?
a. w-axis
b. x-axis
c. y-axis
4. Which of the following is not a step in making line graph?
a. Put a title on the line graph.
b. Connect the points with a line.
Draw the line for the x-axis and the z-axis.
d. Plot the points that correspond to each variable in the table,
5. It is shown just above the table or a line graph.
b. body
d. z-a
a, title
c. table
d. n
3. Directions: Study the line graph below. Encircle the letter of the corr
Answers
Write a system of equations to describe the situation below, solve using substitution, and fill in the
blanks.
Peter is going to send some flowers to his wife. Cedarburg Florist charges $3 per rose, plus $21 for
the vase. Sally's Flowers, in contrast, charges $2 per rose and $26 for the vase. If Peter orders the
bouquet with a certain number of roses, the cost will be the same with either flower shop. How
many roses would there be? What would the total cost be?
If the bouquet contains
roses, it will cost $
My
Answers
Answer:
R=5
Step-by-step explanation:
3r+21
2r+26
3r+21=2r+26
r=5
So for this problem what I did was I divided 210 (the total number of calories) / 10 (calories from the fat). The total came out to be 21 but the answer is incorrect. How would I go about solving this problem?
Answers
For percentages, we divide the part by the whole. In this case, the part is the number of calories from fat and the whole is the total number of calories.
10 / 210 = 0.0476 = 4.76%
Then, we need to round to the nearest tenth.
The answer is 4.8%
Hope this helps!
Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.
1. 4
2. 1/4
3. -1/4
4. −4
Please help!!
Answers
Answer:
1. 4
Step-by-step explanation:
the slope of:
f(x) = 10/2=5
g(x) = 10/½=20
so, g(x) = f(4.x)
=> k = 4
en un bolillero hay 10 bolitas iguales numeradas del 0 al 9 ¿cual es el espacio muestral?
Answers
mnv
[tex]2 \times \frac{7}{?} = 4[/tex]
Answers
Answer:
? = 7/2
Step-by-step explanation:
? = x
a denominator can’t be equal to 0
x ≠ 0
14/x = 4
14 = 4x
x = 7/2
which symmetry does y= -x^2-2x have? x-axis symmetry, y-axis symmetry, origin symmetry, or no symmetry?
Answers
Answer:
Step-by-step explanation:
The curve is symmetric about x = 1
so does not qualify for y-axis symmetry, nor the others.
slope of (0,45) (6,33) (15,15)
Answers
Answer:
The slope is -2
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0,45)[/tex]
[tex](x_2,y_2) = (6,33)[/tex]
[tex](x_2,y_3) = (15,15)[/tex]
Required
The slope (m)
Slope is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{33 -45}{6 - 0}[/tex]
[tex]m = \frac{-12}{6}[/tex]
[tex]m =-2[/tex]
find the value of x to the nearest tenth
Answers
Answer:
cosine 44 = 6 / x
x = 6 / cosine 44
x = 6 / 0.71934
x = 8.34097
Step-by-step explanation:
Pls help its due at 11:10
Answers
Answer:
firstly
we all know that the angles of a triangle they all add up to 180° meaning when you add them all they must give you 180°
88°+33°+L = 180° ( sum of angle in a ∆)
121° + L = 180°
L = 180° - 121°
L = 59°
Step-by-step explanation:
first you you must add all your angles and all equal to 180°
that you add the like terms
than you transpose 121° to the right hand side
Select the correct answer. What is the value of this expression when g= -3.5? 8-[2g-5]
Answers
Answer:
20
Step-by-step explanation:
2g = -3.5x2 = -7
-7 - 5= -12
8 - -12=20
What are elliptic and hyperbolic geometries? Why were they developed?
Answers
The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.
The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.
These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.
The key fact that makes elliptic and hyperbolic geometries different from Euclidean geometry is the consideration of curvature in spaces.
In this case, Euclidean geometry considers only spaces with no curvatures, whereas elliptic geometry considers spaces with a constant negative curvature and hyperbolic geometry makes with spaces with a constant positive curvature.
The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.
The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.
These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.
We kindly invite to check this question on non-Euclidean geometry: https://brainly.com/question/16972917
Please help ,cant figure it out.
Answers
Answer:
B. √2^5
Step-by-step explanation:
(2^½. 2^¾)²
= 2¹ . 2^(1½)
= 2^(2½)
= 2^(5/2)
=√2^5
Which function of x has a y-intercept of -3?
Answers
Answer:
C. y = 2x - 3
Step-by-step explanation:
you look at the number without the x. and the minus three means it's negative. But if it's a plus three then it's positive
0=5x+3 solve equation
Answers
5x+3=0
5x=–3
x=–3/5
x=– 0.6
Answer:
x = -3/5
Step-by-step explanation:
0 = 5x + 3
shift 3 to left hand side . when u are shifting 3 to other side it becomes negative
0 - 3 = 5x
-3 = 5x (5x means 5*x)
now shift 5 to left hand side . multiplication changes to division when u shift.
-3/5 = x