Answer:
The total value of the liquid in the container is about $41,866,666.67.
Step-by-step explanation:
A spherical container has a diameter of 100 centimeters.
It is filled with a liquid that costs $80 per cubic centimeter.
And we want to determine the total value of the liquid in the container.
We can start by finding the volume of the container.
Since the container has a diameter of 100 centimeters, its radius if 50 centimeters.
The volume of a sphere is given by:
[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]
Substitute. We will also use 3.14 for π. So:
[tex]\displaystyle =\frac{4}{3}(3.14)(50)^3=523333.33...\text{ cm}^3[/tex]
(Try not to round intermediate values.)
Since each cubic centimeter costs $80, we will multiply the total volume by the cost per cubic centimeter to find the total value. Thus, the total value is:
[tex](523333.\overline{3})(80)\approx \$41, 866, 666.67[/tex]
The total value of the liquid in the container is about $41,866,666.67.
Explain how you use a net to find the surface area of a prism.
Answer:
Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.
Step-by-step explanation:
Answer:
By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.
Step-by-step explanation:
This is edges sample resopnse
The value of x is_____and the value of y is ___.
Answer:
x=60 y=50
Step-by-step explanation:
60+y=110
y=50
A regular 13-gon is inscribed in a circle. Find the measure of each are intercepted by the sides of the polygon. Round your answer to the nearest hundreth of a degree.
Answer:
The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°
Step-by-step explanation:
The number of of equal sides in a regular 13-gon = 13 sides
The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;
θ = 360°/13 = [tex]27\dfrac{9}{13} ^{\circ}[/tex]
By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = [tex]27\dfrac{9}{13} ^{\circ}[/tex] ≈ 27.69°
La diferencia de dos numero es 3.su suma es 13 cuáles son los dos numero
Answer: Los dos números son 8 y 5
Explanation:
Considere los dos números como
x
and
y
A partir de los datos dados, escribimos:
x
−
y
=
3
x
+
y
=
13
A partir de la primera ecuación, determinamos un valor para
x
.
x
−
y
=
3
agregar
y
a ambos lados.
x
=
y
+
3
En la segunda ecuación, sustituya
x
with
(
y
+
3
)
.
x
+
y
=
13
(
y
+
3
)
+
y
=
13
Abra los corchetes y simplifique.
y
+
3
+
y
=
13
2
y
+
3
=
13
Sustraer
3
de cada lado.
2
y
=
10
Divide ambos lados por
2
.
y
=
5
En la primera ecuación, sustituya
y
con
5
.
x
−
y
=
3
x
−
5
=
3
Agregar
5
a cada lado.
x
=
8
Step-by-step explanation:
Construct a 90% confidence interval for μ1-μ2 with the sample statistics for mean calorie content of two bakeries' specialty pies and confidence interval construction formula below. Assume the populations are approximately normal with equal variances.
Answer:
The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (49) < μ₁ - μ₂ < (289)
Step-by-step explanation:
The given data are;
Bakery A
[tex]\overline x_1[/tex] = 1,880 cal
s₁ = 148 cal
n₁ = 10
Bakery B
[tex]\overline x_2[/tex] = 1,711 cal
s₂ = 192 cal
n₂ = 10
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]
df = n₁ + n₂ - 2
∴ df = 10 + 18 - 2 = 26
From the t-table, we have, for two tails, [tex]t_c[/tex] = 1.706
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469[/tex]
[tex]\hat \sigma[/tex] ≈ 178
Therefore, we get;
[tex]\left (1,880-1,711 \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711 \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}[/tex]
Which gives;
[tex]169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}[/tex]
Therefore, by rounding to the nearest integer, we have;
The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289
PLS HELP WILL GIVE BRAINLIEST
Answer:
Micah can earn $2,669
I hope this helps
Step-by-step explanation:
can someone please answer this
Answer:
its c
Step-by-step explanation:
Andre runs for 35 seconds at a velocity of -8 meters per second. He is running west. What is his finishing position?
Answer:
d = -280 m
Step-by-step explanation:
Given that,
Velocity of Andre, v = -8 m/s
Time taken, t = 35 seconds
We need to find his finishing position. Let the finishing position be x.
We know that,
Velocity = distance/time
So,
[tex]d=v\times t\\\\d=-8\times 35\\\\=-280\ m[/tex]
so, he was at a distance of 280 m in west.
Find the inverse of the given function.
y = log2(4x)
Answer:
f^−1(x)=2^x/4
Step-by-step explanation:
The inverse of the function will be;
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ y = log₂ (4x)
Now,
Since, The function is,
⇒ y = log₂ (4x)
Find the inverse of the function as;
⇒ y = log₂ (4x)
⇒ [tex]2^{y} = 4x[/tex]
⇒ [tex]\frac{2^{y}}{4} = x[/tex]
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
Thus, The inverse of the function y = log₂ (4x) is,
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
Learn more about the function visit:
https://brainly.com/question/28361556
#SPJ2
Which rule describes the translation below? On a coordinate plane, triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime.
Answer:
(x, y) ⇒ (x - 5, y - 3)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).
Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:
(x, y) ⇒ (x - 5, y - 3)
hi please help i’ll give brainliest please
Answer:
y = 4
Step-by-step explanation:
15 x 4 = 60
60 = 60
Therfore, y = 4
Answer:
y= 4
Step-by-step explanation:
15 x 4 = 60
find the value of given expression
[tex] \sqrt{23 - ( - 2)} [/tex]
Answer:
hello
The answer will be 5
Step-by-step explanation:
hope it helps
A triangle has sides that are 3, 7, and squareroot 57. Is the triangle a right triangle?
Answer:
my answer is no because for a right angle triangle the sum of the squares of the other two sides is equal to the square of the longest side
3²+7²=9+49=58
(√57)²=57
57≠58 it's not a right angle triangle
assume the sides to be a,b and c
a=3 b=7 c=√57
by Pythagoras theorem
a²+b²=c²
3²+7²=√57²
but 58≠57
hope it's clear
A taxi cab cost $1.75 for the 1st mile and .75 for each additional mile you have $20 to spend on your ride was in a quality could be certified and how many miles you can travel if N is a number of additional miles
Answer: 0.75n+1.75 ≤ 20 because you have to have the number of additional miles with the cost of $0.75 per mile but then you have to add the original first mile with a cost of $1.75. It has to be less than or equal to because you only have $20 to spend you can't spend more than that you have to spend that amount or less.
Step-by-step explanation:
Answer:
25 miles or 25.333
Step-by-step explanation:
3x2 = 30 a) + 10 b) + V10 c) + 15 d) 30.
Answer:
x = √10
Step-by-step explanation:
3x² = 30
Divide both sides by 3.
x² = 10
x = √10
Jackson invested $140 in an account paying an interest rate of 3 3/4% compounded
quarterly. Lucy invested $140 in an account paying an interest rate of 3 1/2%
compounded daily. After 10 years, how much more money would Jackson have in his
account than Lucy, to the nearest dollar?
Answer: $5
Step-by-step explanation:
Help I'm not sure if this is the answer?
(This question is about trigonometric ratios)
9514 1404 393
Answer:
(b) 15.32
Step-by-step explanation:
You can use your triangle sense to answer this.
The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.
If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.
__
The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(50°) = x/20
x = 20×sin(50°) . . . . multiply by 20 to find x
x ≈ 15.32 . . . . . . . . . use your calculator to evaluate
__
The attachment is intended to show how the triangle side lengths change with angle.
#5 need help asap will give brainly
This might help
total surface area Stot = 42.5 ft2
lateral surface area Slat = 30 ft2
top surface area Stop = 6.25 ft2
bottom surface area Sbot = 6.25 ft2
but im thinking they would need 113.7 ft of rapping paper i many be totally wrong tho
Answer:
42.5
Step-by-step explanation:
To find how many square inches of wrapping paper he will need you need to find the area of each face of the box and add them all together.
Top and bottom face:
First, 2.5 times 2.5 equals 6.25. Multiply 6.25 times 2 since there is one for the top and bottom to get 12.5
Left, Right, front, and back face:
Multiply 2.5 by 3 to get 7.5, and multiply 7.5 by 4 to get 30 since there are four faces with the same area.
Final Step:
Now, just add all the areas of the faces calculated to recieve the answer of 42.5
30 + 12.5 = 42.5
This statement shows the ______ property.
Answer:
besti you didnt put the statement
50a+80
GIVING BRAINLEST
Answer:
180
Step-by-step explanation:
the square on the right is a scaled copy of the square on the left identify the scale factor
5 Filipe paid $250 for 5 video games. that were all the same price He used a deal that took $15 off his entire purchase. What was the original cost of each game?
Answer:
$53.00
Step-by-step explanation:
250+15=265
265÷5= 53
250 is the discounted price, 265 is the original price. Take the original oprice divide it by 5 (the number of games Filipe bought).
Answer: 53
Steps:
5x - 15 = 250
5x = 250 + 15
5x = 265
x = 265/5
x = 53
Check:
5x - 15 = 250
5(53) - 15 = 250
265 - 15 = 250
250 = 250 ✅
I would appreciate “the brainliest” if this was helpful, correct, and steps were clear :)
I’m stuck lol pls help
Answer:
x=90
Step-by-step explanation:
So, since x-20 is the vertical angle directly near 70, we can say:
x-20=70.
if we solve x is 90.
HOPE IT HELPS!!!!!!!!!!!
a rational number m is called a perfect square if and only if for some positive rational number, m equals
ASSAP EASY MATH does a shape stay congruent when it has been rotated
Answer:
They are still congruent even after being rotated they still will remain the same shape.
Step-by-step explanation:
Answer:All the sides of each shape must be identical. so yes if it is
Step-by-step explanation:
I really need help...Will mark brainiest
Answer:
[tex]x^{2} -1[/tex]
Step-by-step explanation:
You will need to multiply and distribute out the equation.
[tex](x-1)(x+1)\\x^{2} - x + x -1\\x^{2} - 1[/tex]
Please Hurry !!
The speed s (in miles per hour of a car driving on wet asphalt can be given by s = 3 square root d, where d is the stopping distance (in feet). What is the approximate stopping distance of a car traveling 80 miles per hour? Round your answer to the nearest hundredth.
Answer:
d = 711 miles
Step-by-step explanation:
The speed s of the car is given by :
[tex]s=3\sqrt{d}[/tex] ...(1)
Where
d is the stopping distance
We need to find the stopping distance of a car travelling at 80 mph.
Rearranging equation (1) for d.
[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]
or
d = 711 miles
So, the required stopping distance is 711 miles.
Write a problem you could represent with the equation 3k - 12 = 6 . Solve the equation and show your solution .
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3k - 12 = 6}[/tex]
[tex]\large\text{ADD 12 to BOTH SIDES}[/tex]
[tex]\textsf{3k - 12 + 12 = 6 + 12}[/tex]
[tex]\large\text{Cancel out: -12 + 12 because it gives you 0}[/tex]
[tex]\large\text{Keep: 6 + 12 because it helps you solve for k}[/tex]
[tex]\mathsf{6 + 12 = 18}[/tex]
[tex]\large\text{New equation: 3k = 18}[/tex]
[tex]\mathsf{3k = 18}[/tex]
[tex]\large\text{DIVIDE 3 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{3k}{3} = \dfrac{18}{3}}[/tex]
[tex]\large\text{Cancel out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you 1 }[/tex]
[tex]\large\text{Keep: }\mathsf{\dfrac{18}{3}}\large\text{ because that helps you solve for k}[/tex]
[tex]\large\text{New equation}\mathsf{\dfrac{18}{3}=k}[/tex]
[tex]\mathsf{\dfrac{18}{3}=18\div3\rightarrow\bf 6}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\bf k = 6}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
identify the missing number 41, 48,33,40,62,55,54,?,
Answer:
47
Hope it helps
Please mark me as the brainliest
Thank you
Answer:
can I get how you solved it
Find C.
Round to the nearest tenth
Answer:
Step-by-step explanation:
c^2=a^2+b^2-2abcosC
cosC= (a^2+b^2-c^2)/(2ab)
C=arccos[(a^2+b^2-c^2)/(2ab)]
C=arccos(90^2+55^2-50^2)/(2(90)55)
C=arccos(8625)/(9900)
C=29.4 degrees