Answer:
Step-by-step explanation:
We don't have any statements from which to choose, but I did ind a couple of things that might be useful to you. Solving the system simultaneously for a, b, and c gives back a quadratic that is [tex].2x^2-2x+4.2=y[/tex] and it has a vertex of (5, -.8). It opens upwards and is very wide open, which means that its vertex is a minimum. It has real zeros of x = 7 and x = 3, and a y-intercept of (0, 4.2). Not sure what else there is to tell you so hopefully I covered something of importance!
Please help me it’s important for me
Answer:
Step-by-step explanation:
8
f(x) = 3x – 5. Find the average rate of change of the function between x = 3 and x = 7.
Given:
The function is:
[tex]f(x)=3x-5[/tex]
To find:
The average rate of change of the function between x = 3 and x = 7.
Solution:
We have,
[tex]f(x)=3x-5[/tex]
For [tex]x=3[/tex],
[tex]f(3)=3(3)-5[/tex]
[tex]f(3)=9-5[/tex]
[tex]f(3)=4[/tex]
For [tex]x=7[/tex],
[tex]f(7)=3(7)-5[/tex]
[tex]f(7)=21-5[/tex]
[tex]f(7)=16[/tex]
The average rate of change of the function f(x) between x = a and x = b is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
The average rate of change of the function between x = 3 and x = 7 is:
[tex]m=\dfrac{f(7)-f(3)}{7-3}[/tex]
[tex]m=\dfrac{16-4}{4}[/tex]
[tex]m=\dfrac{12}{4}[/tex]
[tex]m=3[/tex]
Therefore, the average rate of change of the function between x = 3 and x = 7 is 3.
joseph cao bao nhiêu, nếu anh ấy cao 72 inch? Nếu anh ta là bao nhiêu feet, thì anh ta là bao nhiêu thước? nếu anh ta là bao nhiêu thước, anh ta là bao nhiêu cm?
Answer:
im not sure
Step-by-step explanation:
Answer:
joseph là 6 feet hoặc 2 thước Anh hoặc 182 cm.
Solve for w -8.5 = 3.46
Done done done, W=3.46+8.5
W=11.96!
Hit the heart if it was helpful!
Answer:
11.96
Step-by-step explanation:
Which graph is likely to have a leading coefficient value of -1/8?
Answer:
The second graph: only this one opens downward.
A coach divided 13 liters of water into water bottles so that each bottle contained 0.65 liter of water how many water bottles are there
Answer:
there would be 20 bottles.
Step-by-step explanation:
13 divided by .65 = 20
#42 urgent please be certain
Answer:
Its D
Step-by-step explanation:
A city held a bike parade. 52 bikers rode in the parade, and 8 of them rode a fixed-gear bicycle.
What is the probability that a randomly chosen bike in the parade was a fixed-gear bicycle?
Write your answer as a fraction or whole number.
P(fixed-gear bicycle) =
Answer:
[tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Find the probability by dividing the number of fixed gear bikers by the total number of bikers in the parade.
Since there are 8 fixed gear bikers and 52 bikers in total, this will be found by dividing 8 by 52.
So, the probability as a fraction is [tex]\frac{8}{52}[/tex]
This can be simplified by dividing both the numerator and denominator by 4:
= [tex]\frac{2}{13}[/tex]
So, the probability is [tex]\frac{2}{13}[/tex]
prove the following [tex]\bold{algebraically}[/tex]:
[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 30 }{ {29}^{4} - 1} = \frac{1}{28} [/tex]
Answer:
see below
Step-by-step explanation:
we are given
[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 30 }{ {29}^{4} - 1} = \frac{1}{28}[/tex]
we want to prove it algebraically
to do so rewrite 30:
[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 29 + 1}{ {29}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}[/tex]
let 29 be a thus substitute:
[tex] \displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ {a}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}[/tex]
factor the denominator:
[tex] \rm\displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
Factor out a²:
[tex] \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+ a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
factor out 1:
[tex] \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+1( a + 1)}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
group:
[tex] \rm\displaystyle \frac{ ({a}^{2} +1)( a + 1)}{ ({a}^{2} + 1) (a + 1)(a - 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
reduce fraction:
[tex] \rm\displaystyle \frac{ \cancel{({a}^{2} +1)( a + 1)}}{ \cancel{({a}^{2} + 1) (a + 1)}(a - 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
[tex] \displaystyle \frac{1}{a - 1} \stackrel {?}{ = } \frac{1}{28} [/tex]
substitute back:
[tex] \displaystyle \frac{1}{29 - 1} \stackrel {?}{ = } \frac{1}{28} [/tex]
simplify substraction:
[tex] \displaystyle \frac{1}{28} \stackrel { \checkmark}{ = } \frac{1}{28} [/tex]
hence Proven
Answer:
Step-by-step explanation:
Identity to use:
1+N+N^2+N^3 = (N^4-1)/(N-1)
Let N=29
1+29+29^2+29^3 = (29^4-1) / (29-1)
30+29^2+29^3 = (29^4-1) / 28
Transpose and re-arrange
(29^3+29^2+30) / (29^4-1) = 1 / 28 QED
describe fully the single transformation which takes shape A to shape B
Answer:
Clockwise rotation of 90 degress around the
point (4,3)
Answer:
Clockwise rotation of 90 degress around the point (4,3)
Step-by-step explanation:
An ice cream store sells 2 drinks, in 4 sizes, and 6 flavors. In how many ways can a customer order a drink?
Which best describes the vertex of this parabola?
Answer:
The correct option is (2,1);maximum. The explanation is given below. The vertex of the parabola is the point where the parabola crosses its axis of symmetry. the vertex will be the lowest point on the graph, the point at the bottom of the " U "-shape.
Step-by-step explanation:
thank me later
In the diagram of △EHG below, JF ∥HG, EJ=12, JH=24, and EF=6. What is the length of EG?
Given that√7=2.65 and √70=8.37,find the value of
(a)√0.07
(b)√0.0007
(c)√0.7
(d)√0.007
(e)√0.000007
(f)√0.00007
Answer:
A) 0.265
B) 0.0265
C) 0.837
D) 0.0837
E) 0.00265
F) 0.00837
Step-by-step explanation:
We are given;
√7 = 2.65 and √70 = 8.37
A) √0.07 can be rewritten as;
√(7 × 1/100)
Let's deal with the digits in the bracket.
Square root of 100 is 10. Thus;
√(7 × 1/100) = (1/10)√7 = (1/10) × 2.65 = 0.265
B) √0.0007
Rewrite to get;
√(7 × 1/10000)
Square root of 1/10000 is 1/100
Thus;
√(7 × 1/10000) = (1/100)√7 = (1/100) × 2.65 = 0.0265
C) √0.7
Like above;
√0.7 = √(70 × (1/100))
>> (1/10)√70 = (1/10) × 8.37 = 0.837
D) √0.007
Like above;
Rewrite to get;
√(70 × 1/10000)
Square root of 1/10000 is 1/100
Thus;
√(70 × 1/10000) = (1/100)√70 = (1/100) × 8.37 = 0.0837
E) √0.000007
Rewritten to;
√(7 × (1/1000000))
√(1/1000000) = 1/1000
Thus; √(7 × (1/1000000)) = 1/1000 × √7 = 1/1000 × 2.65 = 0.00265
F)√0.00007
Rewritten to;
√(70 × (1/1000000))
√(1/1000000) = 1/1000
Thus; √(70 × (1/1000000)) = 1/1000 × √70 = 1/1000 × 8.37 = 0.00837
The sum of four consecutive numbers equals b+6. What are the numbers?
Answer:
0,1,2 and 3
Step-by-step explanation:
let the first number be b
therefore the second,third and fourth numbers are b+1,b+2 and b+3
b+b+1+b+2+b+3=b+6
4b+6=b+6
4b-b=6-6
3b=0
b=0
Write the equation of the circle:
center: (-9, 0), diameter: 10
Answer:
[tex](x+9)^2+y^{2}=25[/tex]
Step-by-step explanation:
The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius of the circle.
Given the circle's diameter is [tex]d=10[/tex], then its radius is [tex]r=\frac{10}{2}=5[/tex].
Therefore, the equation of the circle is [tex](x+9)^2+y^{2}=25[/tex]
Simplify. pls pls help
-2 √35
-24 √35
24 √35
A test is worth 30 points. Multiple-choice questions are worth 7 point and
short-answer questions are worth 2 points. If the test has 20 questions, how
many multiple-choice questions are there?
Answer:cvg
Step-by-step explanation:
2. A bag contains 5 red marbles, 3 blue marbles, 6 white marbles, and 2 green marbles.
A. You choose one marble at random. Find the probability that you will choose a
white marble.
B. You choose one marble at random. Find the probability that you do not choose a red
marble.
I
C. You choose one marble at random, put the marble aside, then choose a second
marble at random. What is the probability that both marbles are blue?
D. You choose one marble at random, put the marble back in the bag, then choose a
second marble at random. What is the probability that you choose a red marble
and then a green marble?
Answer:
Step-by-step explanation:
5 red
3 blue
6 white
2 green
total 16 marbles.
Note: P(E) = probability of event E happening
P(~E) = probability of event E NOT happening.
We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.
A. choose one marble at random.
P(W) = 6 white / 16 total = 3/8
B. choose one marble at random.
P(~R) = (16-5)/16 = 11/16
C. choose one marble at random, then a second one without replacement,
there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.
P(BB) = (3/16)*(2/15) = 1 / 40
D. choose two with replacement
5 red out of 16 for first draw, still 5 red out of 16 for second draw.
P(RR) = (5/16)^2 = 25/256
what is the midpoint of this point (-4,2) and (8,0)?
Answer:
Mid - point = ( 2 , 1 )
Step-by-step explanation:
Let A = ( - 4 , 2 ) and B = ( 8 , 0 )
Let P = ( x , y ) be the mid-point of AB
Then,
[tex]P = (\frac{x_A + x_B}{2} , \frac{y_A + y_B}{2} ) \\\\P =(\frac{-4+8}{2} , \frac{2+0}{2}) \\\\P = ( \frac{4}{2} , \frac{2}{2} )\\\\P = ( 2 , 1)[/tex]
Answer:
(2,1)
Step-by-step explanation:
Hi there!
Midpoint: [tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex] where two endpoints of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-4,2) and (8,0)
[tex](\frac{-4+8}{2} , \frac{2+0}{2} )\\(\frac{4}{2} , \frac{2}{2} )\\(2, 1)[/tex]
Therefore, the midpoint of the line segment is (2,1).
I hope this helps!
- 3/10h = 15 what does h =
Answer:
h = -50
Step-by-step explanation:
- 3/10h = 15
Multiply each side by -10/3 to isolate h
-10/3 * - 3/10h = 15 * -10/3
h = -150/3
h = -50
Answer:
h = -50
Step-by-step explanation:
See image for question.
Answer:
#7(a)
Sample space:
1*1, 1*2, 1*3, 1*4,2*1, 2*2, 2*3, 2*4,3*1, 3*2, 3*3, 3*4,4*1, 4*2, 4*3, 4*4Total 16 outcomes
(b)
(i) P(even) = 12/16 = 3/4(ii) P(3x) = 7/16(iii) P(perfect square) = 4/16 = 1/4#8(a) Sample space:
1T, 1H, 2T, 2H, 3T, 3H, 4T, 4HTotal 8 outcomes
(b)
(i) 1T, 3T
P(T and odd) = 2/8 = 1/4(ii) 1H, 4H
P(H and square) = 2/8 = 1/4(iii) 1H, 2H, 3H, 4H
P(H) = 4/8 = 1/2write a proportion and find the missing side lengths. show work!! 30 points.
Answer:
Step-by-step explanation:
34 . since the given two figure are similar their corresponding sides are proportonal.
let the missing side be x
take these ratios
15/18 = x/30
do cross multiplication
18*x = 30*15
18x = 450
x = 450/18
x = 25
therefore missing side is 25
35.since they are also similar their corresponding sides are proportional.
let the missing side be x
for this take these ratios
8/12 = 10/x
do cross multiplication
12*10 = 8*x
120/8 =x
15 =x
therefore missing side is 15.
Find the volume of this cone.
Use 3 for pi
Answer:
81 cm^3
Step-by-step explanation:
We know that we have to use 3 for pi.
Formula given for formula of cone is:
πr^2h ÷3
Use formula with the given pi and dimensions:
3(3^2)(9) ÷ 3
= 3(9)(9) ÷ 3
= 243 ÷ 3
= 81
Volume is measured in cubic centimeters.
FINAL ANSWER:
81 cm^3
Hope this helps!
A snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom, as shown below:
Snow cone with spherical bubble gum ball at the bottom
The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice? (4 points)
Group of answer choices
4.43 in3
0.07 in3
13.50 in3
4.50 in3
==========================================================
Explanation:
The volume of the cone is...
V = (1/3)*pi*r^2*h
V = (1/3)*3.14*(1.25)^2*2.75
V = 4.49739583333333
which is approximate.
-----------
The volume of the sphere is
V = (4/3)*pi*r^3
V = (4/3)*3.14*(0.25)^3 ... note the radius is half the diameter
V = 0.06541666666667
which is approximate as well
-----------
Subtract the two volumes to finish things up
4.49739583333333-0.06541666666667 = 4.43197916666667
The result 4.43197916666667 then rounds to 4.43
This is the approximate amount of empty space in the cone that isn't taken up by the spherical gum. The units are in "cubic inches" or "in^3" for short.
Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.
Answer:
geometric
arithmetic
Step-by-step explanation:
there are no statements to check. you did not copy them in.
but I can solve the first part of the question.
sequence 1 :
-10, 20, -40, 80, -160, 320, -640, ...
I extended the sequence by a few more terms.
but it is clear that each new term is the previous term multiplied by -2.
since the sequence is built by multiplication, it is geometric.
sequence 2:
15, -5, -25, -45, -65, -85, ...
so, it is clear that each new term is the previous term subtracted by -20.
since the sequence is built by adding or subtracting, it is arithmetic.
3. If 2x +9 32, then x could be
11.5?
Answer:
Yes
Step-by-step explanation:
We can see step by step how to solve for x, and get 11.5:
2x+9=32
Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:
2x+9-9=32-9
=
2x=23
In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.
When I mean 1, I mean you want 1x, or just x.
Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:
2x/2=23/2
=
x=11.5
So x equals 11.5, and you were correct.
Hope this helps!
If x = 47, what is the value of the expression x + 24?
Answer:
71.
Step-by-step explanation:
If x = 47, you would add 24 to 47, which equals 71.
Given the table below, determine the initial value/y intercept. PIC IS ABOVE! ANSWER!
Answer:
The initial value is the y value when x is zero. Look at the table to help you determine the y value when x is zero and that is your answer.
Step-by-step explanation:
After filling the first sandbox to a height of 6 inches, the groundskeeper had 24 cubic feet of sand left
over. She used all the leftover sand to fill the second sandbox.
. The second sandbox has a base in the shape of a rectangle.
The base of the second sandbox has a perimeter that is less than 35 feet.
The groundskeeper filled the second sandbox to a height of 6 inches.
What could be the length and width, in feet, of the second sandbox?
Answer:
Length could be 14.05 ft and width 3.41 ft.
Step-by-step explanation:
The volume of the sand in the second box = 24 ft^3.
Let its base be x feet wide and y feet long.
Then 2(x + y) < 35.
The volume of sand = 0.5xy ft^3.
So 0.5xy = 24
xy = 48.
x = 48/y
Substituting ih the above inequality:
2(48/y + y) < 35
96/y + 2y < 35
2y^2 - 35y + 96 < 0
Solving 2y^2 - 35y + 96 = 0 gives y = 3.41, 14.09.
So the length could be 14.05 ft and the width 48/14 = 3.41 ft.
The length could be 14.05 ft and the width will be 3.41 ft.
What is volume?The volume of the sand in the second box = 24 ft³.
Let its base be x feet wide and y feet long.
Then 2(x + y) < 35.
The volume of sand = 0.5xy ft^3.
So 0.5xy = 24
xy = 48.
x = 48/y
Substituting the above inequality:
2(48/y + y) < 35
96/y + 2y < 35
2y² - 35y + 96 < 0
Solving 2y² - 35y + 96 = 0 gives y = 3.41, 14.09.
So the length could be 14.05 ft and the width 48/14 = 3.41 ft.
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