Answer:
A
Step-by-step explanation:
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
A 192 ft3
B 9216 ft 3
C 4608 ft 3
D 3072 ft 3
Answer:
Answer it is D Got it
Step-by-step explanation:
Graph the equation y=−x²−8x−15 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Answer:
Plot these points
(-3,0)
(-5,0)
(-4,1)
(-2,-3)
(-6,-3)
Step-by-step explanation:
Let find the zeros of the equation.
We can factor this equation.
Factor out the -1.
[tex] - 1( {x}^{2} + 8x + 15)[/tex]
Factor using AC method
[tex] - 1(x + 3)(x + 5)[/tex]
Set all the terms equal to zero.
[tex]x + 3 = 0[/tex]
[tex]x + 5 = 0[/tex]
[tex]x = - 3[/tex]
[tex]x = - 5[/tex]
So our x intercepts are -3,0 and -5,0.
To find our vertex, apply the -b/2a.
[tex] \frac{8}{ - 2} = - 4[/tex]
Then
Substitute-4 for x.
[tex]y = - {4}^{2} - 8( - 4) - 15 = 1[/tex]
So our vertex is at (-4,1).
Find some other points like -2 and -6.
To find -2, substitute-2 into the quadratic.
[tex]y = - ( { - 2}^{2}) - 8( - 2) - 15 = - 3[/tex]
So -2,-3.
Since y=-4 is the axis of symmetry
-6,-3
The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is
( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
y = −x² − 8x − 15
On simplifying the equation , we get
y = -1 ( x² + 8x + 15 )
On factorizing the equation , we get
y = -1 ( ( x + 5 ) ( x + 3 )
So , the 2 values for x is -5 , -3
So , the two points are ( -5 , 0 ) and ( -3 , 0 )
The vertex will be -b/2a
Substituting the values in the equation , we get
The vertex = -8/2 = -4
So , when x = -4
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 1 x -1 )
y = 1
So , the vertex is at the point ( 4 , 1 )
Now , when x = -1
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 4 x 2 )
y = -8
So , the point is ( -1 , -8 )
Now , when x = -2
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 3 x 1 )
y = -3
So , the point is ( -2 , -3 )
Hence ,
The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is
( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )
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How many green jolos are there in balans colony?
Answer: B. 280
Step-by-step explanation:
ur welcome
Answer:
B) 280
Step-by-step explanation:
please help, i'll give brainliest. (don't send a link please)
Answer:
A
Step-by-step explanation:
y+5<8
Subtract 5 from each side
5+5-5 <8-5
y<3
Since there is no equals sign, there is an open circle at 3
y is less than so the line goes to the left
Choice A
h ft
5 ft
30 ft
6 ft
A. 20
B.25
C.23
D.30
Please help!!
Answer:
25ft
Step-by-step explanation:
You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:
30/6=5
Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:
5 x 5=25
I hope this helped you!
no links please
Given f(x) = 1/2x - 3, what is the value of
f(0)
f(11)
f(21)
Find the average rate of change of y=log3 x over the interval 1≤x≤3. Write your answer as a fraction in the simplest form.
Answer:
If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.
The average rate of change is [tex]\frac{6}{25}[/tex]
What is rate of change over an interval?'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'
According to the given problem,
Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]
y = log3x
⇒ a= 1
b= 3
Therefore,
⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]
⇒ [tex]\frac{log9 - log3}{2}[/tex]
⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]
⇒ [tex]\frac{1}{2}[/tex] * log 3
⇒ [tex]\frac{6}{25}[/tex]
Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]
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if you actually know the answer please give me an explanation of the answer so i know you're not just answering for points.
Answer:
i think it's A but I'm not to sure
Step-by-step explanation:
don't count my word for it just here with a geuss
solve the variable of x. 3^3^x= 1/243
Answer:
-5
Step-by-step explanation:
What can you say about the end behavior of the function f(x) = -4x6+6x2 -52 ?
A. F(x)is an even function so both ends of the graph go in the same
direction.
B. f(x) is an even function so both ends of the graph go in opposite
directions
O C. The leading coefficient is negative so the left end of the graph
goes up.
D. The leading coefficient is negative so the left end of the graph
goes down
Answer:
A. F(x)is an even function so both ends of the graph go in the same direction.
D. The leading coefficient is negative so the left end of the graph goes down.
Step-by-step explanation:
Even function:
For every value of x, f(x) = f(-x)
In this question:
We are given the following function:
[tex]f(x) = -4x^6 + 6x^2 - 52[/tex]
Testing if it is even:
[tex]f(1) = -4(1)^6 + 6(1)^2 - 52 = -4 + 6 - 52 = -50[/tex]
[tex]f(-1) = -4(-1)^6 + 6(-1)^2 - 52 = -4 + 6 - 52 = -50[/tex]
Since f(1) = f(-1), it is even.
Since it is even, both ends of the graph go in the same direction, so option A is correct, while option B is wrong.
Options C and D:
The leading coefficient, is -4(which multiplies x with the highest exponent). Since it is negative, it goes to negative infinity as x increases, that is, the left end goes down, and option D is correct while C is not.
I will mark as brainliest
A cylinder has a volume of 550 cubic feet. If the height of the cylinder is 15 feet, what is the radius of the cylinder? Use 3.14 for π. Round to the nearest hundredth
Answer:
r = 3.42
Step-by-step explanation:
the equation for volume is V = pi r^2 h
550 = 3.14 r^2 15
36 2/3 = 3.14 r ^2
11.6772824 = r^2
3.41720389 = r
r = 3.42
Answer:
3.42
Step-by-step explanation:
(33x3+6x-9)+(-33x3+9x2-10)
Answer:
9x² + 6x -19
Step-by-step explanation:
= 33x³ + 6x - 9 - 33x³ + 9x² -10
= 33x³ - 33x³ + 9x² + 6x -10 -9
= 9x² + 6x -19
Tasha purchased an iPad for $625. A year later, it was selling for $500. What was the percent of change?
Answer:
-20
Step-by-step explanation:
i used a percentage calculator
pls help!!!
Find the missing side. (Round to the nearest tenth, if necessary)
Answer:
7.8
Step-by-step explanation:
We can use pythagorean theorem [tex](a^2+b^2=c^2)[/tex] where a and b are sides of a right triangle and c is the hypotenuse.
[tex]x^2+13.3^2=15.4^2[/tex].
[tex]x^2=15.4^2-13.3^2\\[/tex]
[tex]x^2=237.16-176.89\\x^2=60.27\\x=7.763[/tex]
Rounded to the nearest tenth, x = 7.8
Answer:
This is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
what distance will the divider be set at the scribe a 02.8" circle? .75" or 1.4" or 2.8" or 5.6"
9514 1404 393
Answer:
(b) 1.4"
Step-by-step explanation:
A 2.8" circle is one that has a diameter of 2.8". The divider will be set to the radius, which is half the diameter.
The divider is set to 1.4".
which statements are true about the trigonometric ratios of this triangle
Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(30°) = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
sin(30°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
cos(60°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
sin(60°) = = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
Options (1), (2), (3) and (4) are the correct options.
You have only quarters and dimes in your pocket. In total, you have 15 coins. The total value of all of these coins is $3.00. How many quarters and how many dimes do you have?
Answer: 10 quarters, 5 dimes.
Explanation:
10 x .25 = 2.50
5 x .10 = .50
2.50 + .50 = 3.00
Help if you can -
8 commercials in 15 minutes
Find Unit Rate
Plzz show work!
Also, dont add any type of links
Thanks!! :D
Answer:
1.875 commercials a minute
Step-by-step explanation:
Mrs Tay baked 45 cookies.
She gave of them to her friends.
How many cookies did she give her friends?
45
Answer:
15cookies
Step-by-step explanation:
Complete question:
Mrs Tay baked 45 cookies. She gave 1/3 of them to her friends. How many cookies did she give her friends?
Given the following
Total cookies = 45 cookies
Fraction of cookies given = 1/3
Amount she gave her friends= 1/3 * 45
Amount she gave her friends= 45/3
Amount she gave her friends= 15cookies
Hence she gave 15cookies to her friends
Kinetic energy is expressed using the unit
A. Meters
b.Meters per second square
C. Joule per second
d Joule
Answer:
C or d
Step-by-step explanation:
kinetic energy is the energy a body possesses due to its motion because it is energy, kinetic energy it expresses the unit of joules. Velocity is very similar to speed. The difference is that Velocity is the speed in the given direction
Please help!!! These are the options
From the table Riley is moving forward on the interval [0,
A.4.5 B. 1.5 C.3 D.6.
It takes Riley A.3 B.4.5 C.6 D.1.5 seconds to swing forward,back and then return to her standing position. Riley reaches a maximum distance of A.6.75 B.38.9 C.1.5 D.55 inches of her starting position.
Answer:
From the table, Riley is moving forward on the interval [0,1.5].
I takes Riley 6 seconds to swing forward, back, and then return to her starting position.
Riley reaches a maximum distance of 38.9 inches from her starting position.
Step-by-step explanation:
PLATO/Edmentum
The blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.
What is a table?Mathematical tables are collections of numbers that display the outcomes of calculations made using various inputs.
Given that in the table the position of Riley with respect to time. Also, If her position is ahead of its initial position it is positive, while if she is behind her initial position it is negative.
Now as per the table, the statements can be completed as,
Riley is moving forward on the interval [0, 1.5]It takes Riley 3 seconds to swing forward, back, and then return to her starting position.Riley reaches a maximum distance 55 of Inches from her starting position.Hence, the blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.
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One school bus can hold 46 students. There are 29 students in each of the 5 fifth-grade classes. How many buses will they need in order to transport everyone to the zoo for a field trip?
Answer:
4
Step-by-step explanation:
29x5=145
= 145 (divided) 46= 3.15...
4 buses
Find the area of a triangle with a base length of 3 units and a height of 4 units. (1 point)
A. 3 square units
B. 6 square units
C. 7 square units
D. 8 square units
Answer:
B
Step-by-step explanation:
1/2×bh1/2×3×46square unit
Does anyone know?????
Answer:
The answer is B
Step-by-step explanation:
The reason for this is that for every hour, the person earns another $7.25. In 2 hours, this is $14.50, and at the 2 hour mark, only chart B is at that y-coordinate.
The shape given below can be decomposed into which two figures? (Pick two)
Answer:
C and D
Step-by-step explanation:
I would chose this because the square will have all sides of 3 since all the sides are the same size it classifies as a square. Then a right triangle looking at the shape you would have left.
A rectangle is a four sided polygon having all the internal angles equal to 90 degrees. The shape given below can be decomposed into two figures, they are rectangle and right triangle. The correct options are A and D.
What is a trapezium?The trapezium is defined as a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called the bases and the non-parallel sides of a trapezium are known as legs. It is also called as the trapezoid.
A trapezium is a closed shape which has four sides and four angles. Anyone pair of opposite sides of a trapezium are parallel to each other. If the legs are of equal length, then it is called the isosceless trapezium.
A triangle in which one of its interior angles is equal to 90 degrees or any one angle is a right angle is the right triangle.
Thus the correct options are A and D.
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1) Find two positive consecutive integers that have a product of 30?
Answer:
{-6,-5} and {5,6}
Step-by-step explanation:
let me know if this is what you are looking for :)
Eight beads are strung in a necklace with a clasp, how many ways
can the beads be arranged?
Answer:
Number of total arrangement of beads = 2,520
Step-by-step explanation:
Given:
Number of beads in necklace = 8 beads
Find:
Number of total arrangement of beads
Computation:
Changing beads is a cyclic permutation,
So,
Formula to find number of total arrangement in cyclic permutation
(n-1)!/2 , where n = number of item
So,
(n-1)!/2
Number of total arrangement of beads = (8-1)!/2
Number of total arrangement of beads = (7)!/2
Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2
Number of total arrangement of beads = 5,040 / 2
Number of total arrangement of beads = 2,520
What is the surface area of the triangular prism?
15 ft
15 ft
9 ft
40 ft
24ft
2001
2376
2592
4329
Answer: = 40 . 24
Step-by-step explanation:
A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet.
2,001 square feet
2,376 square feet
2,592 square feet
4,320 square feet
Answer: b.
Step-by-step explanation: A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up
Surface Area (rectangle) = Length · Width
Surface Area (triangle) = (1/2)(Base)(Height)
Rectangular side 1:
Length = 40 ft
Width = 24 ft
Surface Area = 40 · 24
Surface Area = 960ft
Rectangular side 2:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Rectangular side 3:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Triangular side 1:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
Triangular side 2:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
SURFACE AREA OF TRIANGULAR PRISM:
Add all surface areas found above
Surface area = 960 + 600 + 600 + 108 + 108
Surface area = 2376ft
Determine what type of solution the following equation has: 3(x-1)+5=3x+2
- No solution
- One solution
-Infinitely Many solution