Answer:
[tex]V=5.23\times 10^8\ m^3[/tex]
Step-by-step explanation:
A large water reservoir can be well modeled with a hemisphere whose radius is 630 meters.
The volume of a hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Substitute r = 630 m in the above formula
[tex]V=\dfrac{2}{3}\pi \times (630)^3\\\\=5.23\times 10^8\ m^3[/tex]
So, the water reservoir can hold [tex]5.23\times 10^8\ m^3[/tex] of water.
Triangle ABC measures are as follows; Angle A measures 30 degrees, angle B measures (3x-9) degrees and angle C measures 29 degrees. What is the value of x?
Answer:
x = 43 1/3 degrees
Step-by-step explanation:
sum of interior angles in a triangle = 180 degrees
30 + (3x - 9) + 29 = 180
30 + 29 + (3x - 9) = 180
59 + (3x - 9) = 180
(3x - 9) = 180 - 59
(3x - 9) = 121
3x = 121 + 9
3x = 130
x = 43 1/3
using estimation to solve real-life problems
can some one give me an math equation plss
If you need to paint your house, you estimate how much paint you will need. Like 4 gallons or whatever.
Kiran and his cousin work during the summer for a landscaping company. Kiran's cousin has been working for the company longer, so his pay is 30% more than Kiran's. Last week his cousin worked 27 hours, and Kiran worked 23 hours. Together, they earned $493.85. What is Kiran's hourly pay?
Which values are two of the possible solutions to the equation? sin(5x-pi)= sqrt2/2, for x is greater than or equal to 0 and less than 2pi
A) pi/20, 3pi/20
B) pi/4, 7pi/20
C) pi/4, 7pi/4
D) 5pi/4, 7pi/4
Answer:
B
Step-by-step explanation:
B
The two of the possible solutions to the equation sin(5x - π) = (√2)/2 are,
⇒ (π/4, 7π/4).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Here, The given equation is;
sin(5x - π) = (√2)/2
Now, We can write 2 as √2 × √2
So, We get;
sin(5x - π) = √2/√2*√2
sin(5x - π) = 1/√2
Taking sin⁻¹ on both side,
sin⁻¹ (sin(5x - π)) = sin⁻¹ (1/√2)
5x - π = sin⁻¹ (1/√2)
Hence, From the trigonometry table we know that sin⁻¹ (1/√2) = π/4
Thus,
5x - π = π/4
5x = π + π/4
5x = 5/4π
Divide by 5 on both side, we get
x = π/4
Now, since x < 2π, then it means it is in the fourth quadrant. Thus;
x = 7π/4
So, the two of the possible solutions to the equation sin(5x - π) = (√2)/2 is (π/4, 7π/4).
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is y= -7x linear or non linear
Answer:
I think Linear but i am not sure
Step-by-step explanation:
A linear function is a function with standard form y = mx + b, where m is the slope and b is the y-intercept, and whose graph looks like a straight line. There are other functions whose graph is not a straight line. These functions are known as nonlinear functions and they come in many different forms.
3) You are selling raffle tickets. You sell tickets to adults and children. You sell a
total of 475 fickets. Edult tickets cost $3 per ticket and children tickets cost $2
per ticket. You eam a total of $1200. How many adult tickets and how many
children tickets were sold?
Answer:
250 adult tickets and 225 children ticketsStep-by-step explanation:
Let adult tickets be a and children tickets be c.
System of equations as per given:
a + c = 4753a + 2c = 1200Substituting c in the second equation
c = 475 - a3a + 2(475 - a) = 12003a + 950 - 2a = 1200a = 1200 - 950a = 250Then, finding c:
c = 475 - 250 = 225Answer:
250 adult tickets and 225 children ticketsAndre’s group was asked to write an expression equivalent to 5 p squared q + 7 p q squared minus 10. When Ms Berger checked their answers, she found only one to be correct. Who had the correct answer?Andre
7 p squared q + 7 p q squared minus 1 minus 2 p squared q minus 9
Jill
5 p squared q + 2 p q squared minus 6 + 5 p q squared minus 3
Anuj
4 p squared q + 7 p q squared minus 7 + 2 p squared q minus 3
Marsha
5 p squared q + 5 p q squared minus 10 + 3 p q squared
Answer:
b
Step-by-step explanation:
Answer: the 1st one; Andre
Step-by-step explanation: I just took the test
Identify all of the following that are prime numbers. A. 2 B. 11 C. 27 D. 31 E. 42 F. 59 G. 63 H. 72 I. 81 J. 97
Answer:
A, B, D, F, J
Step-by-step explanation:
pls help Explain how [tex]2 * 10^-4[/tex] is the same as [tex]2 / 10^4[/tex] using expanded notation.
c. Sophia's friend has saved $118 but is not sure how many songs she can afford if she buys the
membership and some songs. Use the expression in part (b) to write an equation that can be used to
determine how many songs Sophia's friend can buy.
okay so it says Sophia's friend has saved $118 so she already knows she has $118 and then the next step is to figure out about Part B so she does not know how many songs you can afford to buy so the expression in Part B whatever the expression is if you figured out the answer to Part B and there's a number what you want to do what you would want to divide that number into 118 to see how how many equal groups you can make and you don't want to go overboard 18 so what you would want to do it if you would want to do if you figure out the number to expression be in the boring part B they don't want to take that and keep making a go go to that until you reach 118 and then you would get your total
To determine the height of a pine tree, you measure the shadow cast by the tree and find it to be 20 feet long. Then you measure the shadow cast by a 36-inch tall oak sapling and find it to be d= 12 inches long (see figure). Estimate the height of the pine tree.
Answer:
Height of the pine tree = 60 in.
Step-by-step explanation:
Since, triangle formed by the tip of the tree and tip of the shadow of the tree will be similar to each other,
By the property of similarity, corresponding sides of the similar triangles will be proportional.
[tex]\frac{x}{20}=\frac{36}{d}[/tex]
If d = 12 inches,
[tex]\frac{x}{20}=\frac{36}{12}[/tex]
x = [tex]\frac{20\times 36}{12}[/tex]
x = 60 in.
Therefore, height of the pine tree will be 60 in.
A 7/9 and 0.7
B9/7 and 0.7
C 7/9 and 0.7
D9/7 and 0.777
Answer:
A
Step-by-step explanation:
7000/9= 777 7/9 and 777.7repeating
Answer is 7/9 and 0.7 repeating
the eagles had a record of 16 wins and 12 loses. What was the ratio of wins to losses?
(answer for brainliest)
Answer:
16/12 or 4/3
Math
A total of 563 tickets were sold for the school play. They were either adult tickets or student tickets. There were 63 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer: 500 adults tickets were sold
Step-by-step explanation: So you can do 563 subtract 63 to get the answer of 500
The half-life of a certain radioactive substance is 45 days. There are 6.2 grams present initially. On what day
will there be less than 1 gram remaining? Day
Answer:
There will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days
Step-by-step explanation:
The given parameters are;
The half life of the radioactive substance = 45 days
The mass of the substance initially present = 6.2 grams
The expression for evaluating the half life is given as follows;
[tex]N(t) = N_0 \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{1/2}}[/tex]
Where;
N(t) = The amount of the substance left after a given time period = 1 gram
N₀ = The initial amount of the radioactive substance = 6.2 grams
[tex]t_{1/2}[/tex] = The half life of the radioactive substance = 45 days
Substituting the values gives;
[tex]1 = 6.2 \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}[/tex]
[tex]\dfrac{1}{6.2} = \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}[/tex]
[tex]ln\left (\dfrac{1}{6.2} \right ) = {\dfrac{t}{45} \times ln \left (\dfrac{1}{2} \right )[/tex]
[tex]t = 45 \times \dfrac{ln\left (\dfrac{1}{6.2} \right ) }{ln \left (\dfrac{1}{2} \right )} \approx 118.45 \ days[/tex]
The time that it takes for the mass of the radioactive substance to remain 1 g ≈ 118.45 days
Therefore, there will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days.
It costs $200.00 to rent the mini-golf course, plus $7.25 per person. What would be the total cos
to rent the mini-golf course for 30 people?
$417.50 should be the correct answer you just multiply the $7.25 to 30 and then add the $200.
Answer:
$417.50
Step-by-step explanation:
To calculate the total cost you will need to use this equation: 200 + 7.25n. n represents the number of people renting the course. 200 is the initial cost and then you add it with the cost of 30 people.
A student solved log4(2x – 12) = 3, as shown.
Answer:
x = -6
Step-by-step explanation:
you want to solve the aswer so you wanna solve for whats in the parenthesis so your new equation should look like this:
8x + 48 = 3
you want to subtract 48 from both sides your new equation should look like this:
8x = -45
now you want to get x by itself and your new equation should be:
x = -6
Open Ended Dan takes an airplane to visit his parents. He pays the airline a total of $400. The cost of the ticket is $320. The airline also charges $10 for every pound that the luggage goes over the 50 pound limit
How many pounds is Dan's luggage over the 50 pound limit? Use pencil and paper. Describe another situation using the same numbers.
Dan's luggage is pounds over the limit
Type a whole number.)
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
Dan paid $80 for his luggage
Step-by-step explanation:
$400
-$320
= $80
Jake wants to go to a lil uzi vert concert. A lil uzi vert concert ticket cost $320. The backstage pass is only $400, so Jake pays for that instead. He later figured out that he wanted to lose 50 pounds before the concert in 6 months and for every time he goes to the gym he has to pay $10 he only goes to the gym 8 times and his bank account has $500 on it. How much money did he have left over after going to the gym 8 times? - PS don't worry about this question its just a fake scenario i made for the second part of your question hope this helps!!!
A coat was originally priced at $50. It went on sale for $35. What was the percent that the coat was discounted?
Answer:
30%
Step-by-step explanation:
I apologize if I am incorrect
Answer:
70%
Step-by-step explanation:
set up an equation for the word problem that looks like this: 50x = 35
and solve by dividing both sides by 35
50x ÷ 50 = x
35 ÷ 50 = .7
.7 = 70%
x = 70%
can someone help me with this
ons
of
be
?
The baker can make 28 cakes
in 7 days. How many cakes can
the baker make in 5 days?
B
Enter your text here
Answer:
20 cakes
Step-by-step explanation:
Given
28 cakes in 7 days
Required
Determine the number of cakes in 5 days
Represent the required with x. The question illustrates proportionality.
First, we need to represent the given and required as a ratio
[tex]28 : 7 = x : 5[/tex]
Convert ratios to fraction
[tex]\frac{28}{7} = \frac{x}{5}[/tex]
[tex]4 = \frac{x}{5}[/tex]
Solve for x
[tex]x = 4 * 5[/tex]
[tex]x = 20[/tex]
If the data in the stem-and-leaf graph below were shown in a line plot, which statement(s) would be true of the line plot?
Test Scores
Stem Leaves
6 8
7 0
8 0, 6, 8, 8,
9 6, 6, 7, 7, 8, 8, 9
10 0, 0, 0, 0, 0
6|0 = 60 years old
The line plot would be flat.
The individual data would not be shown.
We would not be able to find the mean.
We could calculate the range and median.
Answer:
I think the 4th line plot would not be true
Step-by-step explanation:
We could calculate the range and median.
What is Line Plot?A line plot, also known as a dot plot, is a type of graph that displays the distribution of a set of data. It consists of a number line with dots or X's placed above each data value to represent how many times that value appears in the data set.
Using the stem-and-leaf plot in the diagram, below, write out each data points given, which are:
68, 70, 80, 86, 88, 88, 96, 96, 97, 97, 98, 98, 99, 100, 100, 100, 100, 100
The line plot for these data would have the following frequency for each data point:
68 - 1 dot
70 - 1 dot
80 - 1 dot
86 1 dot
88 - 2 dots
96 - 2 dots
97 - 2 dots
98 - 2 dots
99 - 1 dot
100 - 5 dots
The line plot is shown in the diagram below.
Range = 100 - 68 = 32
Median = 97
Therefore, We could calculate the range and median.
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Original Price: $16.45
Markdown: 33%
What is the sale price? Round to two decimal places
Answer:
11.02
Step-by-step explanation:
Remember to multiply the markdown and origin price and then sub what you get from the original price to get an answer. Goodluck
Answer:
$11.02
Step-by-step explanation:
1. Take the original price and multiply it by 33%.
16.45 * 0.33 = 5.4285
2. Round 5.4285 to two decimal places
5.43
3. Take your discount and subtract it from the original price.
$16.45 - $5.43 = $11.02
The price of a DVD is $19 . This price is 12% lower than last week.
What was the price of the DVD last week?
Answer:
$21.28
Step-by-step explanation:
First, find 12% or 19 -- this is 2.28
Next, take the total (19) and add 2.28 to it.
$19+$2.28=$21.28
Look at this table of values. What is the y-intercept?
Answer:
I think y=3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Y=3
Which number sentence is not true?
OA) |-20< 20
OB) |9| = 9
OC) |-20| > |9|
OD) 19 < 20
Answer:
a
Step-by-step explanation:
Compared to last month, there was a 50% increase in the number of houses sold this month.
Answer:150%
Step-by-step explanation:because 50% increases
The number of houses sold this month are -
y = 3x/2.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that compared to last month, there was a 50% increase in the number of houses sold this month.
Assume that the number of houses sold of previous moth were [x]. Then, we can write -
y = {x} + 50% of {x}
y = {x} + (50/100) × {x}
y = {x} + {x/2}
y = 3x/2
Therefore, the number of houses sold this month are -
y = 3x/2.
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Connie and Chris are saving money to go to a concert. Each friend starts with some money and saves a specific amount each week.
Connie wrote an equation to show the total, y, she has saved at the end of each week, x.
y = 6x + 9
Chris made a graph to show the total he has saved at the end of each week.
Compare the amount that each friend has when both friends start saving.
Select the correct answer from the drop-down menu to complete the statement.
Chris starts with $
Choose...
and Connie starts with $
Choose...
.
A city had a population of 2,425 and was growing by 27 residents per year. City B had a population of 1,813 and was growing by 63 residents per year. If this continues, how many years will it take for them to be the same?
Answer:
17 years
Step-by-step explanation:
In order to calculate this, we need to create an equality equation. In this scenario, we have the fixed values which are the total population and the rate of growth, and we also have one variable which is the number of years. We can use these values to create the following equation.
2,425 + 27x = 1,813 + 63x
Now that we have the equation we can solve for x to calculate how many years it will take for them to be the same population.
2,425 + 27x = 1,813 + 63x ... subtract 1,813 and 27x from both sides
612 = 36x ... divide both sides by 36
17 = x
Finally, we can see that both populations will be the same after 17 years.
Is the first number a factor of the second 18,128
Answer:
100
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
it is the first and least number/factor of 18 and 128