Answer:
4# | 267
Step-by-step explanation:
There are 3 numbers in the 40's in the data:
42, 46 and 47.
Help me pls math and will make brainless
Answer 7. Pls !!!
guy is half as old as Gerald, who is three times older than gill. If the sum of their ages is 99, what are their ages?
Answer:
Step-by-step explanation:
gerald=2x
guy=x
gill= aproximately 0.3x
2x+x+0.3x=99
2.3x=99
x=43.04
The age of the guy is 29.72 years, the age Gerald is 59.44 years and the age of gill is 9.8 years.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given data in the question,
The equation according to the given statement will be,
The age of Gerald is 2x,
The age of the guy is x and the age of the gill is 0.33x.
So, the equation will be,
x + 2x + 0.33x = 99
3.33x = 99
x = 99/3.33
x = 29.72
Age of Gerald, 2x = 2(29.72) = 59.44 years.
Age of guy, x = 29.72 years and,
Age of gill, 0.33x = 0.33(29.72) = 9.8 years.
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sin160°cos110°+sin290°cos340°+tg110°tg160°
Answer:
-0.0092
Step-by-step explanation:
sin160°cos110° + sin290°cos340° + tan110°tan160°
(0.34)(-0.34) + (-0.94)(0.94) + (-2.75)(-0.36)
- 0.1156 - 0.8836 + 0.99
-0.0092
I hope this helps!
[tex]\sin 160^{\circ} \cos 110^{\circ} + \sin 290^{\circ} \cos 340^{\circ} + \tan 110^{\circ} \tan 160^{\circ}\\\\=\sin\left(2 \times 90^{\circ} - 20^{\circ} \right) \cos \left(90^{\circ} + 20^{\circ} \right) + \sin \left(3 \times 90^{\circ}+20^{\circ}\right) \cos\left(4 \times 90^{\circ}-20^{\circ \right) + 20^{\circ} \right) + \tan \left( 90^{\circ} +20^{\circ}\right) \tan\left( 2 \times 90^{\circ} - 20^{\circ} \right)\\\\[/tex]
[tex]=-\sin 20^{\circ} \sin 20^{\circ} -\cos 20^{\circ} \cos 20^{\circ}+\cot 20^{\circ} \tan 20^{\circ}\\\\=-\left(\sin^2 20^{\circ} + \cos^2 20^{\circ} \right) + \tan 20^{\circ} \cdot \dfrac 1{\tan 20^{\circ}}\\\\=-1 + 1\\\\=0[/tex]
help not understanding this one
Answer:
3/m²³
Step-by-step explanation:
REWRITE
[tex]\sqrt{\frac{36m^2}{4m^24} } =\frac{\sqrt{36m^2} }{\sqrt{4m^24} }[/tex]
DISTRIBUTE SQ ROOT
[tex]\sqrt{36m^2} =\sqrt{36} \sqrt{m^2}= 6m[/tex]
[tex]\sqrt{4m^24} =\sqrt{4} \sqrt{m^24} =2m^12[/tex]
SIMPLIFY
[tex]\frac{6m}{2m^24} =\frac{3m}{m^24} =\frac{3}{m^23}[/tex]
Hope this helps!
Volume of 12m height base and 6m base cone
Answer:
452.16 m³
Step-by-step explanation:
Given
height, h = 12 mbase radius, r = 6 mFormula
V = 1/3πr²hSolving
V = 1/3 x 3.14 x 36 x 12V = 3.14 x 144V = 452.16 m³MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written??
Answer:
Period: 6, Frequency: 1/6, Equation: -4cos([tex]\frac{\pi }{3}x[/tex])-2
Step-by-step explanation:
Because the graph starts at x = 0 at a minimum/maximum, it's easiest to use cosine, so we don't have to shift the graph horizontally. cos(x)
If you take the max/min points and average them, you can use the distance between the average value and the max/min to get the total amplitude, A, which is 4.
Because this function starts at a minimum, but cosine starts at a maximum, we will flip it vertically by adding a negative coefficient to whatever the amplitude is.
We see that the same part of the graph recurres every 6 x-units, so the period is 6. The frequency of this is 1/(period), 1/6.
The coefficient of x in a sin/cos function is [tex]2\pi /Period[/tex], = [tex]\pi[/tex]/3.
The vertical shift (how much the average value of the function moved from 0 to its current position) is -2.
Put all that together, you get y = -4cos([tex]\frac{\pi }{3}x[/tex])-2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
let's solve ~
Period :
Difference between two successive crest or trough is known as period, so here :
period = 9 - 3 = 6
Frequency
Now, we know that frequency = 1/period
So, frequency for given function is 1/6 hertz , or approximately 0.167 hertz
Amplitude (A) = 4 (flipped)b = 2π ÷ Period = 2π /6 = π/3 k = -2The required equation is ~
[tex]\qquad \sf \dashrightarrow \:y = a \cos(bx) + k[/tex]
[tex]\qquad \sf \dashrightarrow \:y = - 4 \cos( \frac{ \pi}{3} x) - 2[/tex]
What is the probability of landing a C, 4 when spinning these spinners at the same time?
Answer:21%
Step-by-step explanation:21%
What's the answer to 0.02x + 0.1 (6000) = 0.08 (x + 6000)
Answer:
X=2000
Step-by-step explanation:
[tex]0.02x + 0.1(6000) = 0.08(x + 6000)[/tex]
[tex]0.02x + 600 = 0.08x + 480[/tex]
[tex]600 - 480 = 0.08x - 0.02x[/tex]
[tex]120 = 0.06x[/tex]
[tex]x = \frac{120}{0.06} [/tex]
[tex]x = \frac{120 \times 100}{0.06 \times 100} [/tex]
[tex]x = \frac{120}{6} \times 100[/tex]
[tex]x = 20 \times 100 = 2000[/tex]
X=2000
−6146.153846154
Step-by-step explanation:
0.02x+6=0.8(x+6000)
0.02x+6=0.8x+4800
0.02x+6−0.8x=4800
−0.78x+6=4800
−0.78x=4800−6
−0.78x=4794
x=4794/-0.78
x=479400/-78
x=- 79900/13
The equation c = 0.20t +3.50 shows the relationship between the charge, c. in dollars for renting a kayak for t minutes
What is the meaning of the slope?
O Every 0.2 minutes you have to pay $1.
You have to pay $0.20 up front before sing the kayak at all.
For $1.00. you can rent a kayak for 20 minutes,
It costs $0.20 per minute to rent the kayak
Answer:
O It costs $0.20 per minute to rent the kayak
Step-by-step explanation:
c = 0.20t + 3.50→ $3.50 is the fixed cost→ $0.20 is the rate per minute use of the kayakOption 4Answer:
It costs $0.20 per minute to rent the kayak
Step-by-step explanation:
The equation is a linear equation in the form y = mx + b
x is the independent variabley is the dependent variablem is the slope/gradient and tells us the rate of changeb is the y-intercept and tells us the initial value (when x = 0)Given equation: c = 0.20t + 3.50
Therefore,
t is time (in minutes) and is the dependent variable.c is the total charge (in dollars) and is the independent variable.$0.20 is the slope (rate of change) and tells us that the charge (c) increases by this amount for every increase of 1 unit of the value of t (1 minute).$3.50 is the initial charge and is not dependent on the value of t.Therefore, the meaning of the slope is:
It costs $0.20 per minute to rent the kayak
Given r(x) = 20x - 89, what is the value of r(1/2)
Answer:
put x=1/2, you will get, r(1/2)=20*1/2-89
=10-89= -70.
hope it will help.
What are the zeros of the quadratic function?
f(x)=2x2+x−3
Enter your answers in the boxes.
The zeros of f(x) are ---
and ---
Answer:
x=-3/2 and x=1 is the zeros of the equation
Find The Zeroes:
Answers:
x = 1 and -2
x = 2 and -1
x = -0.5 and -2.25
Answer:
x = -2 & x= 1
Step-by-step explanation:
Zeroes are the x-axis value where the function crosses the x-axis!
Determine the radius in metres Diameter=2230mm height=3130mm
Answer: 1.115 metres
Step-by-step explanation:
The radius is half the diameter.
2,230 mm / 2 = 1,115 mm
To turn mm into metres, we divide the length by 1,000.
1,115 mm / 1,000 = 1.115 metres
Answer:
1.115m
Step-by-step explanation:
[tex]radius = \frac{diameter}{2} \\ = \frac{2230}{2} \\ = 1115mm \\ = from \: mm \: to \: m \\ = \frac{1115}{1000} \\ 1.115m[/tex]
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A biologist is studying the exponential growth of a colony of bacterial cells. The table gives the
number of cells, y, in the colony over time, x, in hours.
Time, x (hours)
0
Number of Cells, y
100
1
200
N
400
h
6,400
Replace the values of A, b, x, and y to write an exponential equation that represents the number of
cells present at h hours.
The exponential function that represents the number of cells present at x hours is y = 100(2)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Let y represent the number of cells after x hours.
From the table, at point (0, 100):
100 = ab⁰
a = 100
At point (1, 200):
200 = 100b
b = 2
The exponential function is y = 100(2)ˣ
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Answer:
100(2)^h=6,400
Step-by-step explanation:
Explanation:
For an equation in the form A(b)^x=y, A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100.
Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2. So the growth rate, or b, is 2.
The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is .100(2)^h=6,400
What is the smallest number which is reversed when 2 is added to its double?
Answer:
25
Step-by-step explanation:
Let the number be 10x+y.
So we have 2(10x+y)+2 = 10y+x, or
20x + 2y + 2 = 10y+x, or
19x=8y-2 …(1)
Try different values of x which satisfy (1) giving an integer value of y. Moreover x should be less than y. The only value of x is 2 which gives us y = 5.
So y = 5 and x = 2.
And the answer is 25.
We can prove this by simply doing the question's equation:
50(since it's the double of 25) + 2 =
50+2= 52
Hope this helps
Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
Answer: y = 9x2 + 18x – 6
Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
Please help ASAP I need an answer now!
Answer:
Final answer -
Area of paperboard = [tex]565.92 \: inches {}^{2} [/tex]
hope helpful :D
Somebody pls help me with this
Answer:
55 minutes
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIST
Answer:
85 minutes
Step-by-step explanation:
if need working than please do ask
A half circle has a radius of 20 ft, what is the area of the half circle?
Step-by-step explanation:
A = 0.5(πr^2 )
A = 0.5(π × (20^2 ))
A = 628.32 units^2
Answer:
628.3 ft
Step-by-step explanation:
area of half circle = [tex]\frac{\pi r^{2}}{2}[/tex]
= [tex]\frac{\pi *20^{2} }{2}[/tex]
= 200[tex]\pi[/tex] = 628.3 ft
According to an article, 75% of high school seniors have a driver's license. Suppose we take a random sample of 300 high school seniors and find the proportion who have a driver's license. Find the probability that more than 77% of the sample have a driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample Proportions have been met.
Answer:
33%
Step-by-step explanation:
77 + 233= 300 so 33% don't have a license
These diagrams show the dimensions of two different windows. Which of the following statements are true? Choose all that apply.
Window A
3 ft
8 ft
Window
B
4 ft
6 ft
O A. The windows have the same area.
B. The perimeter of Window A is less than the perimeter of Window B.
C. The perimeter of Window B is 20 feet.
OD. The area of Window A is 22 square feet.
A stone is projected vertically upward from a platform that is 18ft high at a rate of 114ft/sec. Use h=−16t^2+v0t+h0.
Using the vertex of the quadratic equation, it is found that the stone reaches a maximum height of 221.0625 ft after 3.5625 s.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, considering initial velocity of v(0) = 114 and an initial height of h(0) = 18, the equation is:
h(t) = -16t² + 114t + 18.
Which is a quadratic equation with coefficients a = -16, b = 114, c = 18.
Hence:
[tex]x_v = -\frac{114}{2(-16)} = 3.5625[/tex]
[tex]y_v = -\frac{114^2 - 4(-16)(18)}{4(-16)} = 221.0625[/tex]
Hence, the stone reaches a maximum height of 221.0625 ft after 3.5625 s.
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Need help PLEASE lol anyway thank u
Answer:
true option is B
Step-by-step explanation:
true option is B
How can you use
probability to draw conclusions about the
likelihood that something will occur?
(Probability)
The closer the probability is to 1, the more likely it is to occur and the closer the probability is to 0, the less likely it is to occur.
ProbabilityThis is the likelihood that an event will occur.
Probability of an event occuring is calculated thus P(event) = event space/sample space.The event space is the set of desired outcomes in which the event can occur while the sample space is the set of all possible outcomes.Now, the probability P(x) of an event x is in the range 0 ≤ P(x) ≤ 1 where P(x) = 0 implies that the event cannot occur and P(x) = 1 implies that the event will definitely occur.To draw conclusions about the likelihood that something will occurFor an event will occur, it value must be close to 1. For example, a probability P(x) = 0.38 is less likely to occur than a probability P(x) = 0.78.So, the closer the probability is to 1, the more likely it is to occur and the closer the probability is to 0, the less likely it is to occur.
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How many solutions does the equation
below contain?
-4-3t+ 1) - 7+ = 51 - 4
A.
no solution
B.
one solution
C. two solutions
D. infinitely many solutions
Answer:
A.no solution
Step-by-step explanation:
[tex]12t- 4 - 7t = 5t - 4[/tex]
[tex]12t - 7t = 5t - 4[/tex]
[tex]5t = 5t - 4[/tex]
[tex]5t - 5t = - 4[/tex]
[tex]0 = - 4[/tex]
I NEED HELPPOO will mark you BRAINLIEST The diameter of a circle is 14, and its center is located at (3,-4).
What is the equation of the circle?
Choose from the drop-down menus to complete the equation
(* Choose.. Choose v)2 + (y Choose Choose.
x
.
= Choose .
6
7
8
Step-by-step explanation:
What is the volume of the sphere below?
Answer:
D
Step-by-step explanation:
4/3 (3.14) r^3 is the equation, so since the radius is 4
It's 4/3x(pi)64
256/3x(pi)
Simply the given expressions below.
a) 4x + 8 - 2x + 7
b) 2n ×5 ×2a
please answer it and clear..give them brainlest answer
Step-by-step explanation:
a) 4x + 8 - 2x + 7
= 2x +15
b) 2n × 5 × 2a
= 10n × 2a
= 20an
Answer:
a) 2x+15
B) n =(2-√44)/4=(1-√ 11 )/2= -1.158 or
n =(2+√44)/4=(1+√ 11 )/2= 2.158
Step-by-step explanation:
a.4x+8-2x+7
4x+15-2x
=2x+15
Find the area and perimeter of the figure below.
Answer:
x to the 3rd power
Step-by-step explanation:
x+x to the 2nd power = x to the 3rd power
Step-by-step explanation:
The area is the sum of three figures
A = 1*1 + 1*x + x²
= x² + x + 1
The perimeter is the sum of border segments
P = x*4 + 1*4
= 4x + 4
What is the area of the figure?
To solve the area of a complex shape
⇒ best split the shape into smaller regular shapes
⇒ let's split this one into
⇒the rectangle that has a length of 7cm and width of4 cm
⇒ and a pentagon that has a height of 8cm and the two bases of
length 7cm and 19 cm
Area of Rectangle = length * width = 7 *4 = 28[tex]cm^2[/tex]
Area of Pentagon = [tex]\frac{1}{2}(b1+b2)*h[/tex]
b1: length of one of the bases ⇒ 7cmb2: length of the other base ⇒ 19cmh: length of the height ⇒ 8 cmArea of Pentagon = [tex]\frac{1}{2}(7 + 19)*8 = \frac{1}{2}*26*8 = 26 * 4 = 104cm^2[/tex]
Total Area = Area of Rectangle + Area of Pentagon
= 104 + 28 = 132[tex]cm^2[/tex]
Hope that helped!