Answer:
2008
Step-by-step explanation:
when she is 12 (4 years after 2004) her dad will be 36, which is 3 x 12, therefore, in 2008 he will be able to say this.
Answer:
2008
Step-by-step explanation:
The difference in their ages is ...
4m -m = 3m = 3(8) = 24 . . . years (Marika was 8 in 2004)
__
Marika's age when the father was 3 times her age was ...
3m -m = 2m = 24 . . . years
m = 12 . . . . . Marika was 12 when her father was 3 times her age
That is 12 -8 = 4 years from 2004, so it will be true in 2008.
Please help me with this math problem!! Will give brainliest!! Please explain how you got your answer! :)
50(17 + 5)
15(25 – 4)
40(39 + 14)
10(5 + 12)
22(14 – 3)
Answer:
Step-by-step explanation:
1)1100=50x22
2)315=15x21
3)2120=40x53
4)170=10x17
5)242=22x11
please rate and mask as brainlest.
Giovanni drops a rock from the Leaning Tower of Pisa in Italy. The height in feet (h) of the falling rock above the ground is
given by the following equation, where t represents the time, in seconds.
h = -16t2 + 186
Approximately how long will it take the rock to reach the ground?
It would take about 3.4 seconds for the rocks to reach the ground.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the rock above the ground after t seconds. Given the equation:
h = -16t² + 186
The rock would reach the ground at h = 0, hence:
0 = -16t² + 186
16t² = 186
t = 3.4 seconds
It would take about 3.4 seconds for the rocks to reach the ground.
Find out more on equation at: https://brainly.com/question/2972832
Sandy is designing a circular garden as shown in this image. Her plan is to fill the rectangular region with hyacinths. She will need 78 square feet of space per hyacinth bulb. The hyacinth bulbs are sold in packages of 8.
What is the minimum number of packages Sandy must purchase to complete her plan?
Select from the drop-down menu to correctly complete the statement.
Sandy must purchase a minimum of _________
packages of hyacinth bulbs to complete her plan.
options are, 5,6,7,8
With one package (less actually) she can fill the 48ft^2 of the rectangular area.
How many packages does Sandy need?
We know that Sandy needs 7.8 square feet of space per hyacinth bulb, and the hyacinth bulbs are sold in packages of 8.
The rectangular region has a surface area of:
A = 8ft*6ft = 48 ft^2
The number of hyacinth bulbs that she can put in that surface is:
N = (48 ft^2/7.8 ft^2) = 6.15
So with 6 hyacinth bulbs, she can almost complete the rectangular area, and on each package there come 8 of them, so with one package she should be fine.
If you want to learn more about areas, you can read:
https://brainly.com/question/24487155
Answer:
The answer is 7 PACKAGES
Step-by-step explanation:
I took the test!
Recall that in a 30 – 60 – 90 triangle, if the shortest leg measures x units, then the longer leg measures xStartRoot 3 EndRoot units and the hypotenuse measures 2x units. (150StartRoot 3 EndRoot – 75π) ft2 (300 – 75π) ft2 (150StartRoot 3 EndRoot – 25π) ft2 (300 – 25π) ft2.
The area of the shaded region is [tex]\rm (150\sqrt{3} \ - 75\pi ) \ feet^2[/tex] option first is correct.
It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.
It is required to find the shaded area (missing data is attached shown in the picture).
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have a hexagon with a side length of 10 feet.
We know the area of the hexagon is given by:
[tex]\rm A = \frac{3\sqrt{3} }{2} a^2[/tex] where a is the side length.
[tex]\rm A = \frac{3\sqrt{3} }{2} 10^2[/tex] ⇒ [tex]150\sqrt{3}[/tex] [tex]\rm feet^2[/tex]
We have the shortest length = x feet and from the figure:
2x = 10
x = 5 feet
The radius of the circle r = longer leg
[tex]\rm r = x\sqrt{3} \Rightarrow 5\sqrt{3}[/tex] feet
The area of the circle a = [tex]\pi r^2[/tex] ⇒ [tex]\pi (5\sqrt{3} )^2 \Rightarrow 75\pi \ \rm feet^2[/tex]
The area of the shaded region = A - a
[tex]\rm =(150\sqrt{3} \ - 75\pi ) \ feet^2[/tex]
Thus, the area of the shaded region is [tex]\rm (150\sqrt{3} \ - 75\pi ) \ feet^2[/tex]
Learn more about circle here:
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Answer:
option A
Step-by-step explanation:
If A=615.44 ft sq, what is the radius
I think the radius would be 13.9 ft
What is the area of the smaller square? *
16
32
36
81
The area of smaller square is 81
Brainliest if correct
Answer:
The answer is 21/40
Step-by-step explanation:
Hope that helps!
Please help like right now
Answer:
hope this helps :)
Step-by-step explanation:
Write any two necessary condition for collinearity.
Collinear points: Three points A, B and C are said to be collinear if they lie on the same straight line.
There points A, B and C will be collinear if AB + BC = AC as is clear from the adjoining figure.
In general, three points A, B and C are collinear if the sum of the lengths of any two line segments among AB, BC and CA is equal to the length of the remaining line segment, that is, either AB + BC = AC or AC +CB = AB or BA + AC = BC.
In other words,
There points A, B and C are collinear if:
(i) AB + BC = AC i.e.,
Or, (ii) AB + AC = BC i.e. ,
Or, AC + BC = AB i.e.,
PLS ANSWER IT I just need the answer
The y-intercept is (0,2)
you can find the y-intercept by finding the value of y when x = 0The slope is -5/2.
you can find the slope by using the equation below and any two points on the line, such as (0,2) and (2,-3)[tex]\frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0} =\frac{-5}{2}[/tex]
Hope that helps!
Please help correct answer wins crowns
Answer:
Given equation: x + 2y = 7
Rearrange the given equation to make y the subject:
[tex]\sf x + 2y = 7[/tex]
[tex]\sf \implies 2y=7-x[/tex]
[tex]\sf \implies y = \dfrac12(7-x)[/tex]
Now input the given x-values into the equation to determine the y-values:
[tex]\sf x=-2\implies y = \dfrac12(7-(-2))=4.5[/tex]
[tex]\sf x=-1\implies y = \dfrac12(7-(-1))=4[/tex]
[tex]\sf x=0\implies y = \dfrac12(7-0)=3.5[/tex]
[tex]\sf x=1\implies y = \dfrac12(7-1)=3[/tex]
[tex]\sf x=2\implies y = \dfrac12(7-2)=2.5[/tex]
[tex]\sf x=3\implies y = \dfrac12(7-3)=2[/tex]
As ordered pairs: (-2, 4.5) (-1, 4) (0, 3.5) (1, 3) (2, 2.5) (3, 2)
Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.
The mayor of a city believes a large park in the city is becoming more popular and wants to expand nature programs at the park. A random sample of 30 summer days are selected and the number of park visitors is determined for each of those days. From this sample, the mean number of visitors was X(xbar) = 98.3 with a standard deviation of Sx = 11.2. Calculate a 99% confidence interval for the true mean number of visitors on summer days. Assume the conditions for inference are met.
a. 95.192 to 101.410 visitors
b. 34.123 to 162.480 visitors
c. 92.664 to 103.940 visitors
d. None of these is correct.
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 99% confidence interval for the true mean number of visitors on summer days is given by:
c. 92.664 to 103.940 visitors
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 30 - 1 = 29 df, is t = 2.756.
The other parameters are given as follows:
[tex]\overline{x} = 98.3, s = 11.2, n = 30[/tex].
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 98.3 - 2.756\frac{11.2}{\sqrt{30}} = 92.664[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 98.3 + 2.756\frac{11.2}{\sqrt{30}} = 103.94[/tex]
Hence option c is correct.
More can be learned about the t-distribution at https://brainly.com/question/16162795
The Width of a rectangle is a third as long as the length. If the perimeter is 24 inches, what is the area of the rectangle?
Answer:
27
Step-by-step explanation:
Width = w
length = l
w=1/3 * l
or, l=3w
perimeter=2l+2w=24
2(l+w)=24
2(3w+w)=24
2*4w=24
8w=24
w=3
l=9
Area=3*9=27
A construction company takes
1/6 hours to remove 1/2
metric tons of dirt from a construction site.
What is the unit rate in metric tons per hour?
Write your answer in simplest form.
Answer:
3 tons per hour
Step-by-step explanation:
Since 0.5=1/6
you can multiply 0.5 by 6:
0.5x6= 3
With an ending result of 3 tons per hour
F(x)=2x^3-3x^2+7
F(-1)=_____
F(1)=_____
F(2)=_____
Answer:
f(-1)=2(-1)³-3(-1)²+7 = 2
f(1)=2(1)³-3(1)²+7 = 6
f(2)=2(2)³-3(2)²+7 = 11
A computer valued at $6500 depreciates at a rate of 14
.3% per year. Determine the value of the computer
after 5 years.
Answer:
A depreciation of 14.3% leaves you with 85.7%, right? Each year's value is 85.7% of the tear before.
So, 6500(0.857)3 = $4091.25
Write the term to term rule, position-to-term (nth term) and 20thterm of the sequence 3, -1 ,-5, -9, -13 ,....
It's a arithmetic sequence
First term=a=3common difference=d=-1-3=-4Nth term rule:-
[tex]\\ \rm\Rrightarrow a_n=a+(n-1)d[/tex]
[tex]\\ \rm\Rrightarrow a_n=3+(n-1)-4[/tex]
[tex]\\ \rm\Rrightarrow a_n=3-4n+4[/tex]
[tex]\\ \rm\Rrightarrow a_n=7-4n[/tex]
20th term
[tex]\\ \rm\Rrightarrow a_{20}=7-80=-73[/tex]
Does anyone know the answer to this ?? PLEASE HELP.
No links please, don’t answer if you don’t know it :,)
Answer:
2,365,200,000 times
Step-by-step explanation:
Given :
Average heartbeat rate = 60 times/minuteAvg. human lifespan = 75 yearsTo Find :
Number of heartbeats in lifetime of 75 yearsSolving :
Let the number we require be nn = average heartbeat rate x 60 x 24 x 365 x 75n = 60 x 60 x 24 x 365 x 75n = 3600 x 24 x 365 x 75n = 86400 x 365 x 75n = 31536000 x 75n = 2,365,200,000 timesI NEED SOME HELP ON THIS! Which expression represents the volume of the rectangular prism shown? A) 3 x 4 + 11 B) x 2 + 2 x + 11 C) x 4 + 11 x 3 + 24 x 2 D) x 3 + 3 x 2 + x + 8
Answer:
C
Step-by-step explanation:
Volume = bhd
Volume = (x + 3)(x + 8)(x²)
start with (x + 3) and (x + 8), factor:
x² + 8x + 3x + 24
x² + 11x + 24
now bring x² back:
(x² + 11x + 24)(x²)
x⁴ + 11x³ + 24x²
Pls help me
What is the probability of a person randomly selecting a cheesecake, putting it back, and then selecting a cookie? Express your answer as a fraction, decimal, and percent.
3 are cookies
3 are cheesecake
4 are apple pie
The probability of selecting cheesecake and cookie is 9/100
What is probability?Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Total outcome = 3 + 3 + 4
Total outcome = 10
Pr(selecting cheesecake) = 3/10
Pr(selecting cookie) = 3/10
Pr(selectiing cheesecake and cookie) = 3/10 * 3/10
Pr(selectiing cheesecake and cookie) = 9/100
Hence the probability of selectiing cheesecake and cookie is 9/100
Learn more on probability here: https://brainly.com/question/24756209
Solve for x.
8.7 + X = 7
1.1
---
x = [?]
X = 62.4
:)
to get X, i would subtract, 71.1 - 8.7, and the answer would be X, not %100 sure though sorry.
What is the value of x? The figure is not drawn to scale. Show work
Answer:
x = 21.
Step-by-step explanation:
AS there are parallel lines:
4/12 = 7/x
4x = 84
x = 84/4 = 21.
Answer number 8 please. Thank you.
Answer:
The answer is C. A triangle has a total angle of 180°, therefore C. is more than 180°
A quantity with an initial value of 200 grows continuously at a rate of 4% per second.
What is the value of the quantity after 1.55 minutes, to the nearest hundredth?
The growth of the quantity is an illustration of an exponential function
The value of the quantity after 1.55 minutes is 76759.22
How to determine the amount of the quantity?The given parameters are:
Initial value, a = 2000
Rate, r = 4%
An exponential growth function is represented as:
y = a(1 + r)^x
Substitute the value in the equation
y = 2000(1 + 4%)^x
After 1.55 minuted, x = 1.55 * 60
So, we have:
y = 2000(1 + 4%)^(1.55 * 60)
Evaluate the expression
y = 76759.22
Hence, the value of the quantity after 1.55 minutes is 76759.22
Read more about exponential functions at:
brainly.com/question/24077767
Answer:
Step-by-step explanation:
9398.61
i dont know how to do this question please help!
Answer: 1/6
Step-by-step explanation: I think you multiply 3 times 3 because the other circle circle has an option the first doesn't have have.
Write 16^1/4 as a power then evaluate
Answer:
2
Step-by-step explanation:
[tex]16^{\frac{1}{4} }[/tex] = [tex]\sqrt[4]{16}[/tex] = 2. To find the fourth root, find the number that repeats itself four times using multiplication. 2 x 2 x 2 x 2 = 16
good afternoon, please help me with this question and if u get it correct ill give u the brainlest
Answer:
3/5
Step-by-step explanation:
Hope that this helped :)
I need help with this math problem!
Answer:
the value is 120 i think and 2 x-intercepts for the graph of f
Step-by-step explanation:
sorry if it's wrong
Please help and explain 15 points
Write an equation of a circle with the given center and radius center (3,4) and radius 6
A.) (x-3)^2 + (y-4)^2 = 36
B.) (x-3)^2 + (y-4)^2 = 6
C.) (x-3)^2 + (y-4)^2 =36
D.) (x+3)^2 + (y-4)^2 = 6
Answer:
a
Step-by-step explanation:
General equation of a circle : [tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is at center and r = radius
Here, we want to find the equation of a circle with a given center at (3,4) and a given radius of 6
This is very simple, all we have to do is assign variables and then plug in the values of the variables into the general equation of a circle
First lets assign variables.
(h,k) is center and the circle has a given center at (3,4)
so (h,k) = (3,4) thus, h = 3 and k = 4
r = radius and the circle has a given radius of 6 so r = 6
now we plug this into the general equation of a circle.
recall equation : (x-h)² + (y-k)² = r²
h = 3, k = 4 and r = 6
plug in values
(x-3)² + (y-4)² = 6²
simplify exponent
(x-3)² + (y-4)² = 36
and we are done!
The answer is A