Answer:
Part ADimensions of tank:
width = 8.75 inlength = 8.75 inheight = 23 in⇒ Volume of each tank = width × length × height
= 8.75 × 8.75 × 23
= 1760.9375 in³
Part BGiven:
Hot coffee density = 5.8 oz/in³Cold coffee density = 3.5 oz/in³mass = density × volume
⇒ mass of hot coffee = 5.8 oz/in³ × 1760.9375 in³
= 10213.44 oz (nearest hundredth)
⇒ mass of cold coffee = 3.5 oz/in³ × 1760.9375 in³
= 6163.28 oz (nearest hundredth)
Part CConvert the masses of the tanks from ounces to pounds
1 lb = 16 oz
⇒ mass of hot coffee tank = 10213.44 ÷ 16
= 638.34 lb (nearest hundredth)
⇒ mass of cold coffee tank = 6163.28 ÷ 16
= 385.21 lb (nearest hundredth)
If the table can hold a maximum of 800 lb:
hot coffee: 800 lb ÷ 638.34 lb = 1.25 (nearest hundredth)
cold coffee: 800 lb ÷ 385.21 lb = 2.08 (nearest hundredth)
Therefore, either:
1 tank of hot coffee OR2 tanks of cold coffeecan be placed on a table which can support a maximum weight of 800 lb
What is the volume of a sphere with a diameter of 10 m, rounded to the nearest tenth of a cubic meter?
[tex]\rule{300}{1} \\ \diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the volume of a sphere with a diameter of 10m, rounded to the
nearest tenth of a cubic metre (m³)?
[tex]\diamond\large\textsf{\textbf{\underline{Answer and How to solve:-}}}[/tex]
[tex]\it{Volume\:of\:a\:sphere:-}[/tex]
[tex]\longmapsto\sf{V=\dfrac{4}{3} \pi r^3}[/tex]
[tex]\bold{\underline{Where:-}}[/tex]
V=Volumeπ = pi r=radius
Provided information:-
diameter = 10 m
What we need in order to find the Volume:-
radius
How to find the radius if we have the diameter?
Since the radius is exactly one-half of the diameter, we divide the diameter by 2:-
[tex]\bold{r=d\div2}[/tex]
Replace d with 10:-
[tex]\bold{r=10\div2}[/tex]
Therefore, the radius of the sphere is
[tex]\bold{r=5}[/tex][tex]\rule{300}{1}[/tex]
✓ Now we have all the required information in order to find the volume of the sphere.
✳︎Substitute 5 in lieu of r:-
[tex]\bold{V=\dfrac{4}{3} \pi (5)^3}[/tex]
➪On simplification,
[tex]\bold{V=\dfrac{4}{2} \pi (125)}[/tex] ◈ Next, write the value of π (3.14…)
[tex]\bold{V=\dfrac{4}{3}\times3.14\times125}[/tex]
On further simplification,
[tex]\bold{V=\dfrac{4}{3} \times392.5}[/tex] Final Step:- Multiply the numbers.
[tex]\bold{V=523.3\:m^3}[/tex]
The answer has been rounded to the nearest tenth (one place after the decimal point)
Therefore, we conclude that the volume of the sphere is
[tex]\bold{V=523.3\:m^3}[/tex]
Good luck with your studies.[tex]\rule{301}{1}[/tex]
Find its Surface Area 5 m 7 m 3 m 4 m
Answer:
D. 96 m²
Step-by-step explanation:
The surface area of a triangular prism is the sum of the areas of all of the faces. A triangular prism has two triangular faces (bases) and three rectangular faces.
__
rectangular facesThe dimensions of the rectangular faces are such that they can be considered together as a rectangle whose width is the distance between the triangular faces, and whose length is the perimeter of the triangle. For this prism, that is a 7 m width and a (3+4+5) = 12 m length.
triangular facesThe two triangular faces together have an area that is equal to that of a rectangle with the same base and height as the triangular face. For this prism, that is a 3 m base and a 4 m height.
totalThe total surface area is ...
lateral area + base area = (7 m)(12 m) +(3 m)(4 m) = (84 +12) m²
surface area = 96 m²
_____
Additional comment
The formula for the area of a triangle is ...
A = 1/2bh
A triangular prism has two congruent triangular faces, so their total area is ...
A = 2(1/2bh) = bh
We elected to skip the halving and doubling, and go straight to the total base area.
Determine the solution for the following equation: x = 3 x = 5 x = 13 x = 65
Answer:
x = 3
Step-by-step explanation:
[tex](8x - 8)^{3/2} = 64\\(8x - 8)^{3} = 4096\\x = 3[/tex]
Answer:
A on edge 23
Step-by-step explanation:
because math
Find the equation of the line that passes through the points:(2, 2) and (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
the slope of the two points can be found using rise over run which would be 4/2 and that equals 2. then you have to pout the y intercept.
check whether (x-1) is a factor of 2x²-3x+1 or not ................
Answer:
(x - 1) is a factor of 2x² - 3x + 1
Step-by-step explanation:
Method 1
If (x - 1) is a factor of f(x) = 2x² - 3x + 1 then f(1) = 0
Substitute x = 1 into the equations:
f(1) = 2(1)² - 3(1) + 1
= 2 - 3 + 1
= 0
Therefore, (x - 1) is a factor of 2x² - 3x + 1
Method 2
Factor 2x² - 3x + 1
Find 2 two numbers that multiply to 2 and sum to -3: -2 and -1
Rewrite the coefficient of the middle term as the sum of these 2 numbers:
⇒ 2x² - 2x - x + 1
Factorize the first two terms and the last two terms separately:
⇒ 2x(x - 1) - 1(x - 1)
Factor out the common term (x - 1):
⇒ (2x - 1)(x - 1)
Thus proving that (x - 1) is a product of 2x² - 3x + 1
Find the circumference of a circle whose area is 25π. Leave the answer in terms of π.
[tex]\text{Given that,}\\\\~~~~~~~\text{Area} = 25\pi\\\\\implies \pi r^2 = 25 \pi\\\\\implies r^2 = 25\\\\\implies r= 5\\\\\text{Now,}\\\\\text{Circumference}= 2\pi r\\\\~~~~~~~~~~~~~~~~~~~~=2\pi \cdot 5\\ \\~~~~~~~~~~~~~~~~~~~~=10\pi[/tex]
Which step requires revision, and how should it be corrected?
OA. In step 1, the compass width should be set to the length of BC.
B.
In step 2, the fixed part of the compass should be placed at point C.
O. C.
In step 3, the fixed part of the compass should be placed at point C.
OD.
In step 4, it should say to complete step 3 six more times.
The step that requires revision is step 1: set the compass width to the diameter of the circle
How to determine the error in the steps?When a regular hexagon is to be inscribed in a circle, the first step is to place the compass on the circumference of the circle and create an arc.
On no occasion should the width of the compass equal the diameter of the circle.
The step 1 in the question shows that the compass width is set to the diameter of the circle.
This is wrong, and it needs to be revised.
Hence, the step that requires revision is step 1 and the correction is (a) In step 1, the compass width should be set to the length of BC.
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Rick went on a hike with his family in Big Bend National Park. During the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes.
Rick has a pet snake, so he was most excited to see the snakes. What percent of the animals were snakes?
During the hike, Rick saw 20 animals and 10% of the animals were snakes.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
During the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes.
Total number of animals = 6 + 1 + 2 + 3 + 6 + 2 = 20 animals
Percentage of animals that were snakes = (2 / 20) * 100% = 10%
During the hike, Rick saw 20 animals and 10% of the animals were snakes.
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I REALLY NEED HELP PLSSSSSSS
Answer:
Quick answer, C. 7 units!
If mary paid $20.44 for 7.3 pounds of strawberries, what was the price of 1
pound of strawberries? do not include $ in
Answer:
2.80
Step-by-step explanation:
20.44 / 7.3 = 2.8
Brainliest please
PLEASE HELP WILL GIVE BRAINLEST!
Answer:
2[tex]\pi[/tex]
Step-by-step explanation:
Answer:
option 1
Step-by-step explanation:
The radius of a unit circle is 1 and its diameter is 2 . π can be defined as the ratio of the circumference of a circle to its diameter, hence the circumference of the unit circle is 2π . In general the circumference of a circle of radius r is 2πr
Using the image above, what is the measure of side EG? Round to nearest hundredth
Answer:
is 3.5
Step-by-step explanation:
you need to use SOH CAH TOA
Answer:
this is how I solve it....
Simplify the expression: 4(n - 3) - 2(-3 + n)
Answer:
[tex]2(n-3)=2n-6[/tex]
Step-by-step explanation:
[tex]4(n-3)-2(-3+n)\\\\4(n-3)-2(n-3)\\\\(4-2)(n-3)\\\\2(n-3)[/tex]
davion bought a new controller for $32. he also bought a stuffed elephant for his brother. he paid everything with 4 twenty dollar bills.if he got $18 back in change how much did the stuffed animal cost?
Answer:
$30
Step-by-step explanation:
First we will find how much money Davion paid with.
4 * $20 = $80
Now we can find how much the stuffed animal cost using the controller cost and change received.
Let x be the cost of the stuffed animal
80 = 32 + 18 + x
80 = 50 + x | subtract 50 from both sides
30 = x
This means the stuffed animal cost $30.
That is your answer
- Kan Academy Advance
Finding a probability a movie complex is showing three action films and three comedy films. you randomly select two
different films to watch. find the probability that you select a comedy to watchsecond given that you randomly selected a
comedy to watch first
The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
No of action films = 3
No of comedy films=3
The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first is found as;
[tex]\rm P = \frac{C_3'}{C_6'} \times \frac{C_2'}{C_5'} \\\\\ P=\frac{3}{6} \times \frac{2}{5} \\\\ P=\frac{1}{5}[/tex]
Hence, the probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].
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Factor 2x^2+x-3
(PLEASE INCLUDE STEP BY STEP)
The unit is "Factoring trinomials by grouping" so please use that method
Answer:
[tex]2x^2+x-3=(2x+3)(x-1)[/tex]
Step-by-step explanation:
Rewrite the middle term as a sum of two terms so that the coefficients add up to the coefficient of the middle term, and group the entire polynomial into two binomials in which they have the same factor:
[tex]2x^2+x-3\\2x^2-2x+3x-3\\(2x^2-2x)+(3x-3)\\2x(x-1)+3(x-1)\\(2x+3)(x-1)[/tex]
Hope this helps! Let me know if you are still confused.
Quadrilateral ABCD is dilated at center (0.0) with scale factor 1/2 to form quadrilateral A’B’C’D’. What is the length of A’B’?
Answer:
Step-by-step explanation:
Learn with an example
or
Watch a tutorial
When Abigail had one cat, she needed to serve 2 cans of cat food each day. Now that Abigail
has adopted a second cat, she needs to serve a total of 3 1/2 cans each day. How much extra
food is needed to feed the second cat?
Write your answer as a fraction or as a whole or mixed number.
cans
Based on the information provided, to feed the second cat it is necessary 1 1/2 extra cans or 1.5 cans.
How much extra food is needed to feed the second cat?This difference can be found by substracting the total cans fed with only one cat to the total fed with two cats:
3 1/2 cans - 2 cans = 1 1/2 cans, which can also be expressed as 1.5 cans.Based on this, to have a second cat implies 1.5 extra cans.
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170 over 360 simplify
Answer:
17/36
Step-by-step explanation:
can someone help me with the first 6
Answer & Step-by-step explanation:
These questions are wanting you to find the sequence and solve for the nth term in said sequence.
The easiest way to do this is to just see the difference between each number, and continue adding or subtracting to the nth term the question is asking for.
For example, the first one is decreasing by 3 every time, so the 7th term will be -4, (the 4th term), subtracted by 3, three more times.
5, 2, -1, -4, -7, -10, -13
The other way to do this is to find the rule, and subsitute in what term is required.
For letter c (the second c), the sequence is 30, 24, 18, 12
The rule is to subtract 6 every time, so -6 n
Since we start our 1st sequence from 30, our rule must start from 30 + 6, the opposite of our rule, which gives us 36.
Our rule is 36 - 6n
So since we are looking for the 11th term, we substutute in 11 into our equation.
36 - 6 n
36 - 6 (11)
36 - 66
-30
This way of thinking will work for the whole set of questions you have here
Help me on this pls.
Answer:
f - 65 pages per hour
Step-by-step explanation:
420 - 160 = 260
6 - 2 = 4
260 divided by 4 is 65 on average per hour
Answer:
F. 65.
Step-by-step explanation:
The number of pages he has left to read = 420 - 160
= 260.
So mean number per hour 260/4
= 65.
Et $a_1, a_2, a_3,\dots$ be an arithmetic sequence.
if $a_1 + a_3 + a_5 = -12$ and $a_1a_3a_5 = 80$, find all possible values of $a_{10}$.
Since it's an arithmetic sequence,
[tex]a_2 = a_1 + d[/tex]
[tex]a_3 = a_2 + d = a_1 + 2d[/tex]
[tex]a_4 = a_3 + d = a_1 + 3d[/tex]
and so on, up to
[tex]a_n = a_1 + (n-1)d[/tex]
Now, by substitution,
[tex]a_1 + a_3 + a_5 = -12[/tex]
[tex]a_1 + (a_1+2d) + (a_1+4d) = -12[/tex]
[tex]3a_1 + 6d = -12[/tex]
[tex]a_1 + 2d = -4[/tex]
[tex]\implies a_1 = -4-2d, a_3 = -4, a_5 = -4+2d[/tex]
Then the product [tex]a_1a_3a_5=80[/tex] depends only on d, so that
[tex](-4-2d) \times (-4) \times (-4+2d) = 80[/tex]
Solve for d :
[tex](4+2d) (4-2d) = -20[/tex]
[tex]16 - 4d^2 = -20[/tex]
[tex]4d^2 = 36[/tex]
[tex]d^2 = 9[/tex]
[tex]d = \pm3[/tex]
If d = 3, then the first term in the sequence is [tex]a_1 = -10[/tex], and the tenth term would be [tex]a_{10} = \boxed{17}[/tex].
If d = -3, then the first term would instead by [tex]a_1 = 2[/tex], and the tenth term would be [tex]a_{10} = \boxed{-25}[/tex].
PLEASE ANSWER 50 POINTS+ BRAINLIEST
Discussion Topic
What do you know about statistics and data? What do you think a measure of center for a data set would be? What do you think a measure of variation for a data set would be?
Write an example of a situation for which you would like to analyze the statistics. Think of the types of graphs you are familiar with. Do you think the data from the situation you came up with would look good on one of the graphs?
data are individual pieces of factual information recorded and used for the purpose of analysis
What do you think a measure of center for a data set would be?Median and IQR
What do you think a measure of variation for a data set would be?The most common measures of variability are the range, the interquartile range (IQR), variance, and standard deviation.
Write an example of a situation for which you would like to analyze the statistics. Think of the types of graphs you are familiar with. Do you think the data from the situation you came up with would look good on one of the graphs?Find the distance between the two points rounding to the nearest tenth (if necessary). (-6, 7) and (-3, 0)
Answer: [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]7.6[/tex] or [tex]\sqrt{58}[/tex]
Step-by-step explanation:
[tex](-6-(-3))^2 + (7-0)^2[/tex]
[tex](-6, 7) and (-3, 0)[/tex]
[tex]the[/tex] [tex]distance[/tex] [tex]between[/tex] [tex]the[/tex] [tex]two-points[/tex] [tex]rounding[/tex] [tex]to[/tex] [tex]the[/tex] [tex]nearest[/tex] [tex]tenth[/tex].
[tex](-6,7)=(-6=[/tex]
[tex]7=)[/tex]
[tex](-3,0)=(-3=[/tex]
[tex]0=)[/tex]
[tex]Exact Form:\sqrt{58}[/tex]
The answer is [tex]7.2[/tex] [tex](7.61577310)[/tex] and [tex]\sqrt{58}[/tex]
Answer: [tex]\sqrt{58}[/tex] and [tex]7.6[/tex]
loni cut a loaf of banana bread into equal pieces.Over the week, her brother eats 2/6 of the loaf, and Loni eats 3/6 of the loaf
3. Which of the following is an exponential function?
O f(x)= 2/x
O f(x)= 5x-6
O f(x) = 3^x
O f(x) = 3x^3
Answer:
B is correct I hope this helps.
GIVING BRAINLIEST!!!!!
Step-by-step explanation:
144 degree is right answer.
Answer:
144°
Step-by-step explanation:
The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.
From B to D, it requires 2 rotations.
Rotation angle needed = 72° × 2Rotation angle needed = 144°Anna is 12, she is 5'3, 107 pounds, and her shoe size is 6 (girls, USA shoe size). however, she is trying to buy womens shoes and doesn't know which shoe size would fit her good. What size would fit her feet?
Answer:
Size 8
Step-by-step explanation:
A woman's size 8 in kids is a 6 or 6.5 youth shoe size.
What are the measures of the numbered angles?
Answer:
m<1 = 94
m<2 = 132
Step-by-step explanation:
This is a right trapezoid
Since the base lines are parallel, the facing angles would be supplementary and their sum is equal to 180 which means:
m<1 + 86 = 180 so m<1 = 94
and
m<2 + 48 = 180 so m<2 = 132
Susie needs to cover her triangular garden with new top soil. Her garden has a base of 7 ft and a height of 10 ft. A bag of soil will cover 5 square feet. How many bags will she need?
Question 7 options:
70 bags of soil
35 bags of soil
12 bags of soil
7 bags of soil
If 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.
Option D) is the correct answer.
How many bags will Susie need?Area of a triangle is expressed as half base multiply by height.
A = (1/2)base × height
Given that;
Base of the triangular garden = 7ftHeight = 10ftArea of the triangular garden A = ?A = (1/2)base × height
A = (1/2) × 7ft × 10ft
Area of the triangular garden A = 35ft²
Now, if 1 bag of soil covers 5 square feet. how many will cover 35 square feet?
1 bag covers 5ft²
x bags covers 35ft²
x = 35 / 5
x = 7 bags
Therefore, if 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.
Option D) is the correct answer.
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