Answer: 23
Hope this helps :D
Answer:
h=39+16t
Step-by-step explanation:
Simplifying
h(t) = 16t2 + 39t
Multiply h * t
ht = 16t2 + 39t
Reorder the terms:
ht = 39t + 16t2
Solving
ht = 39t + 16t2
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Divide each side by 't'.
h = 39 + 16t
Simplifying
h = 39 + 16t
Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standard error of the mean,ox, is 3.1. A random sample of 25 of the times chosen. What interval captures 68% of the means for random samples of 25 scores?
Answer:
[tex] 94.2 -0.994*3.1 = 91.1186[/tex]
[tex] 94.2 +0.994*3.1 = 97.2814[/tex]
And the 68% confidence interval is given by (91.1186, 97.2814)
Step-by-step explanation:
For this case we know that mean time that visitors stay at a museum is given by:
[tex] \bar X = 94.2 [/tex]
The standard deviation is given by:
[tex] s= 15.5[/tex]
And the standard error is given by:
[tex] SE = \frac{s}{\sqrt{n}} =3.1 [/tex]
And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:
[tex] z_{\alpha/2}= \pm 0.994[/tex]
We can find the interval like this:
[tex] \bar X \pm ME[/tex]
And replacing we got:
[tex] 94.2 -0.994*3.1 = 91.1186[/tex]
[tex] 94.2 +0.994*3.1 = 97.2814[/tex]
And the 68% confidence interval is given by (91.1186, 97.2814)
A savings account balance is compounded continuously.If the interest rate is 3.1% per year and the current balance is 1077.00 in how many years will the balance reach 1486.73?
Answer:13.8 is the best answer i could get
Step-by-step explanation:1,077 multiply that × 13.8 =14,862
4/x - 3/y = 1 ; 6/x + 15/y = 8 solve this equation
Answer:
x=2
y=3
Solution:
First we find common denominators. It is "xy". Then we multiply numerators by common denominator. We get followings:
(4y-3x)/xy=1; (6y+15x)/xy=8
Then
4y-3x=xy;
6y+15=8xy
Multiply first equasion by 5
20y-15x=5xy
Now we add two equasions to get one
20y-15x=5xy
6y+15x=8xy
We get
26y=13xy
Cut "y" and we will find "x"
26=13x
x=2
Put x value into the first equasion(4y-3x=xy) to find out "y"
4y-6=2y
2y=6
y=3
Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
will she have earned if her rate is 5.5% compounded annually?
(1) $3159.70 (2) $2936.27 (3) $2942.27
(4) $2925.27
Answer: $2936.27
Step-by-step explanation:
Present value = $1663
Rate = 5.5%
Time(n) = 19years
Future value= PV(1+r)^n
= 1663(1+5.5%)^19
= 1663(1.055)^19
=1663 × 2.766
=4599.86
Interest = Future value - Present value
= $4599 - $1663
= 2936
Sue invested $1,000 at an interest rate of 4% compounded semiannually. How much money
would she have in 3 years?
Answer:
She would have $1,126.16 in 3 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.
In this question:
Invested 1000, which means that [tex]P = 1000[/tex].
Interest of 4%, so [tex]r = 0.04[/tex]
Semianually is twice a year, so [tex]n = 2[/tex]
How much money would she have in 3 years?
This is A(3).
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(3) = 1000(1 + \frac{0.04}{2})^{6} = 1,126.16[/tex]
She would have $1,126.16 in 3 years.
what is the length of a diagonal of a cube with a side length of 1 cm?
Answer:
sqrt3 or about 1.7
Step-by-step explanation:
length^2 + Width^2 + Height^2 = Diagonal^2
so 1 + 1 + 1 = 3, which when square rooted equals
sqrt3 or about 1.7
Answer:
b
Step-by-step explanation:
edg
Dale can type 32 words in 8 minutes.
What is his rate in words per minute?
Answer:4 words per minute.
Step-by-step explanation:32 divided by 8 is 4.
I NEED HELP NOWwwwwwww
Answer:
523 cm^3
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
V = 4/3 (3.14) (5)^3
V = 523.33333
Rounding to the nearest whole number
V = 523
Noah says: I am thinking of a number (s)
when I multiply it by 7 and add 19, the answer is 124
what is Noah's number
(s) = ?
Answer:
s = 15Step-by-step explanation:
s*7 + 19 = 1247s = 124 - 197s = 105s = 105/7s = 15I need help very urgent
Remember: volume=length x width x height
So i think its 15, 15, and neither of them have greater volume.
(7i)(3i) help please
Answer:
-21i
Step-by-step explanation:
[tex]i^{2}[/tex] = -1
7*3=21
21 x -1 = -21
Answer:
-21
Step-by-step explanation:
Trapezoid EFGH is inscribed in a circle, with [tex]EF \parallel GH[/tex]. If arc GH is 70 degrees, arc EH is x^2 - 2x degrees, and arc FG is 56 - 3x degrees, where x > 0, find arc EPF, in degrees.
Answer:
Arc EPF is 240°
Step-by-step explanation:
Since the quadrilateral, EFGH is a trapezoid and EF is parallel to GH, we have;
∠HGF + ∠GFE = 180°
∠GHE + ∠GFE = 180°
∠HGF + ∠HEF = 180°
∴∠HEF = ∠GFE
In ΔHEF and ΔGFE
∠EHF = ∠EGF (Angles subtending the same segment)
With side EF common to both triangles and ∠HEF = ∠GFE , we have;
ΔHEF ≅ ΔGFE (Angle Angle Side rule)
Hence, side FG = EH
For cyclic trapezoid side FG = EH
The base angles subtended by GH = 70
Arc EH = x² - 2·x
Arc FG = 56 - 3·x
Therefore;
70 + x² - 2·x + 56 - 3·x + arc EPF = 360 .............(1)
Also since the equation of a circle is (x-h)² + (y-k)² = r², where the center of the circle is (h, k), then as EF is a displacement of say z from GH, then arc EH = FG which gives;
x² - 2·x = 56 - 3·x
x² - 2·x - 56 + 3·x = 0
x² + x - 56 = 0
(x - 7)(x + 8) = 0
Therefore, since x > 0 we have x = 7
Plugging in the value of x into the equation (1), we have
70 + 7² - 2·7 + 56 - 3·7 + arc EPF = 360 .............(1)
70 + 70 + arc EPF = 360
arc EPF = 360 - 140 = 240°.
Find the length of the third side to the nearest tenth.
Answer:
What’s the third length?..
Step-by-step explanation:
Which property of equality could be used to solve -3x = 348? A. addition property B. subtraction property C. division property D. multiplication property
Answer:
B:subtraction property
Step-by-step explanation:
What is the error in the flow chart
there is no flow chart
Answer:
WHAT FLOWCHART?
Step-by-step explanation:
Which expression is equivalent to 3(6m)+m
3
6
m
+
m
?
Answer:
some Equivalent expressions to 3(6m)+m is;
18m+m
6(3m)+m
2(9m)+m
19m
Step-by-step explanation:
A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triangles have base lengths of 6 centimeters and the other 2 sides have lengths of 5 centimeters. The distance between the base of the triangle to the outline of the circle is 1 centimeter. Everything around the triangles is shaded. What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2
Answer:
Area of Shaded Region = (25π - 24) cm²
Step-by-step explanation:
See attachment
From the attached, the following observations are made;
Radius, r = 5cm
Base of triangles = 6cm.
Required
Area of shaded region.
If the distance between the base of the triangle to the outline of the circle is 1cm then the height of the triangle is 1cm less than the radius
Height = 5cm - 1cm
Height = 4cm
To calculate the area of the shaded region, we first calculate the area of the circle.
Area = πr²
Substitute 5 for r
Area = π * 5²
Area = π * 25
Area = 25π cm²
Then we calculate the area of both triangles
Area of 1 triangle is calculated as follows.
Area = ½ * base * height
Substitute 4 for height and 6 for base.
Area = ½ * 4 * 6
Area = 2 * 6
Area = 12cm²
Since both triangles are equal.
Area of two triangles = 2 * Area of 1 triangle
Area = 2 * 12cm²
Area = 24cm²
Having calculated the area of the circle and that of both triangles.
Area of shaded region = Area of Circle - Area of Triangles
Area of Shaded Region = 25π cm² - 24 cm²
Area of Shaded Region = (25π - 24) cm²
Answer:
The third one
Step-by-step explanation:
Which of the following are geometric series? 2 + 5 + 8 + 11 + 14 + 17 1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 –256 + 64 – 16 + 4 – 1
Answer:
-102
Step-by-step explanation:
Answer:
1 and 4
Step-by-step explanation:
A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for Pi.
976.24 mm
976.54 mm
1,852.08 mm
1,953.08 mm
Answer:
4th option: 1953.08 mm
Step-by-step explanation:
circumference of circle= [tex]\pi d[/tex]
Thus, circumference of wheel
[tex] = 3.14(622) \\ = 1953.08mm[/tex]
Answer:
D.
Step-by-step explanation:
There are ten dogs at the dog park on a busy Saturday. Two of them are Corgis. What is the probability that a randomly selected dog is a Corgi? Type your answer as a fraction in simplest form.
Answer: 1/5
Step-by-step explanation:
From the question, there are ten dogs at the dog park on a busy Saturday and two of the dogs are Corgis. The probability that a randomly selected dog is a Corgi will be the number of Corgis divided by the total number of dogs. This will be:
Probability (Corgi) = Number of Corgis/total number of dogs.
Probability (Corgi) = 2/10
= 1/5
John's dog Fido is tied to a post in his backyard. Fido's leash is 8.5 feet long. Determine how much circular roaming area Fido has in the backyard to the nearest square foot. (Use 3.14 to represent π)
Answer:
227 ft^2
Step-by-step explanation:
Here, we are tasked with calculating the roaming area that Fido has
Calculating this is same as calculating the area of circle that has a radius which is equal to the length of the leash
Mathematically, the area would be
A = π * r^2
A = 3.14 * 8.5^2
A = 226.865 ft^2
To the nearest square foot, this is 227 ft^2
5x – (9x + 14) < 3(x + 10) - 2
Answer:
5x-(9x+14)=−4x−14
3(x+10)-2=3x+28
So, 3(x+10)-2 is greater than 5x-(9x+14)
Terry has 3 pairs of pants: black, khaki, and brown, and 4 shirts: yellow, red, blue, and white. He does not care which colors he wears together. If Terry chooses one pair of pants and one shirt at random, what is the probability that his outfit will be the black pants with the yellow shirt?
Answer:
1/12 my guy
Step-by-step explanation:
There really isn't one
Answer:
Would be 0.08333 or 1/12
Step-by-step explanation:
solve system of linear equations by substitution -2x+9y=15
x+7=4
Answer:
1
Step-by-step explanation:
-2x+9y=15
x+7=4
Solve for X.
x +7=4
-7. -7
x = -3
Plug in X into the first equation
-2(-3) + 9y = 15
6 + 9y = 15
-6. -6
9y = 9
Divide by 9 on both sides
9/9=1
Answer:
x = -3. | y = 1. | (-3,1)
Step-by-step explanation:
-2x+9y=15
x+7=4
-7. -7
x= -3
-2(-3) + 9y =15
6 + 9y= 15
-6. -6
9y = 9
÷9. ÷9
y = 1
Describe two different ways you could change the values in the table so that the answer to problem 6 is different.
Answer:
Um theres no question or picture. Or document.
Step-by-step explanation:
Use the given circle to find x
Answer:
I won't give you the answer but it is adjacent to x+2 x-2
Please help me now plz I will mark you brainliest
Answer: C. Outside the circle.
Step-by-step explanation:
To find whether point M lies on the circle, first derive the equation of the circle from the radius and center given.
Equation of a circle:
[tex](x-h)^2 + (y-k)^2=r^2[/tex]
Substitute the coordinates (0, 0) for h and k, and 2 times the square root of 3 for r:
[tex]x^2 + y^2 = 12[/tex]
Now, substitute the points (-3, 2) for x and y:
[tex]9 + 4 = 12[/tex]
This equation is incorrect, as the (x, y) coordinates produce a greater value than the radius of the circle squared. When this occurs, the point given is outside of the circle.
(A point like (1, 1), when substituted into the equation and solved to get 1 + 1 = 12, would be inside the circle, as its (x, y) coordinates produce a smaller value than the radius of the circle squared.)
As such, the correct answer is C.
PLEASE ANSWER I WILL MARK BRAINLIEST!!!!!!!!!!!!!!
Answer:
1.5 timesbottle Ythird bottleStep-by-step explanation:
Insufficient dimensions are given to compute an exact volume of each geometry, so we have to assume that the volume is proportional to the product of base area and height. Then the relative volumes will be ...
bottle X: (6 in)(2 in)(1 in) = 12 in^3
bottle Y: (4 in)(3 in)(1.5 in) = 18 in^3
3rd bottle: (3 in)(6 in^2) = 18 in^3
That is, the relative volumes are ...
X : Y : 3rd = 12 : 18 : 18 = 1 : 1.5 : 1.5
The corresponding relative prices are ...
X : Y : 3rd = 9.96 : 14.40 : 13:20 = 1 : 1.446 : 1.325
__
A. Bottle Y has 1.5 times as much lotion as Bottle X.
__
B. Bottle Y is a better buy than Bottle X. (The price relative to X is less than the volume relative to X.)
__
C. The 3rd bottle is the best buy. For the same volume, the price of the 3rd bottle is less than that of Bottle Y.
_____
Note that the relative volume and price ratios are found by dividing all the numbers in the ratio sequence by the first number:
12 : 18 : 18 = (12/12) : (18/12) : (18/12)
9.96 : 14.40 : 13.20 = (9.96/9.96) : (14.40/9.96) : (13.20/9.96)
Solve the equation.
-9x + 1 = -x + 17
X=-8
O X=-2
X = 2
X = 8
Answer:
-9x + x = 17 – 1
8x = 16
X = 16/8
X=2
how do u do this pls help me understand
Answer:
10.8
Step-by-step explanation:
5 times what gives 6? 5 times 1.2
So now you just do 9 times 1.2 which is 10.8
Answer:
10.8
Step-by-step explanation:
5*x=6
5*1.2=6
9*1.2=r
r=10.8