Olga is using spherical beads to create a border on a picture frame. Each bead has a diameter of 1.5 millimeters. Find the volume of each bead. Round to the nearest tenth.
The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.
The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:
V = (4/3) * π * r^3
where V is the volume and r is the radius of the sphere.
Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:
r = 1.5 mm / 2 = 0.75 mm
Now, we can substitute the value of the radius into the volume formula:
V = (4/3) * π * (0.75 mm)^3
Using the value of π ≈ 3.14 and performing the calculations:
V ≈ (4/3) * 3.14 * (0.75 mm)^3
V ≈ (4/3) * 3.14 * 0.421875 mm^3
V ≈ 1.767 mm^3 (rounded to the nearest tenth)
the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.
To know more about Volume .
https://brainly.com/question/27535498
#SPJ11
HELP PLEASEEEEEEE!!!!!
The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
What are similar shapesSimilar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.
Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:
the measure of angle Z is equal to 65°
the side EF corresponds to JK and side FG corresponds to KL, so:
8/20 = 11/x
x = (11 × 20)/8 {cross multiplication}
x = 27.5
the side EF corresponds to JK and EH corresponds to JM, so:
8/20 = y/30
y = (30 × 8)/20 {cross multiplication}
y = 12
Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
Read more about similar shapes here: https://brainly.com/question/21823811
#SPJ1
In a cash drawer, there is $125 in $5 and $10 bills. The number of $10 bills is twice the number of $5 bills. How many of each type of bill is in the drawer?
Answer:
Step-by-step explanation:
You can use the equations:
x = 2y
where x is the number of $10 bills and y the number of $5 bills and:
10x+5y = 125
Solving gives x=10 and y = 5, or in other words there are 10 $10 bills and 5 $5 bills
Need help on algebra please
Answer:
Step-by-step explanation:
The science class is taking a trip to the science center. there are 20 students and an unknown number of adult chaperones going. the bus holds at most 35 people.what is the greatest number of adults who can chaperone? I know the answer is 15. however, what they want us to do is create an equation using inequalities (<, >, etc..) That's what I don't know how to do with this problem. I'm trying to explain it to my daughter but I don't know how to do it myself.
We are given that there are 20 students and an unknown number of adult chaperones.
Let x denotes the unknown number of adult chaperones.
The bus holds at most 35 people
We know that 20 students plus x number of adult chaperones should be at most 35
at most 35 means equal or less than 35
So we can write
\(20+x\le35\)Now we can easily solve for x
\(\begin{gathered} 20+x\le35 \\ x\le35-20 \\ x\le15 \end{gathered}\)A rectangular garden plot has an area of 36 ft. 2. If the width of the plot is 4ft, what is the length?
9ft
12ft
18ft
4ft
Answer:
I think it should be 9 because 9x4 is 36
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
Complete the table of X- and y- values for each equation.
First we need to clear y of the equation
\(\begin{gathered} -4y=2x+5 \\ y=-\frac{2}{4}x-\frac{5}{4} \end{gathered}\)for the value of x=1
\(\begin{gathered} y=-\frac{2}{4}(1)-\frac{5}{4} \\ y=-\frac{2}{4}-\frac{5}{4}=-\frac{7}{4}=-1.75 \end{gathered}\)for the value of x=2
\(y=-\frac{2}{4}(2)-\frac{5}{4}=-\frac{4}{4}-\frac{5}{4}=-\frac{9}{4}=-2.25\)for the value of x=3
\(y=-\frac{2}{4}(3)-\frac{5}{4}=-\frac{11}{4}=-2.75\)NO LINKS!! URGENT HELP PLEASE!!!
What formula can you use if the sides are slanted/diagonal to find the lengths?
Answer:
If you have the coordinates of two points, you can use the distance formula to find the length of the line segment between them. The distance formula is:
\(d =\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
where:
d is the distance between the two pointsx1 and y1 are the coordinates of the first pointx2 and y2 are the coordinates of the second pointAnd to find a perimeter add all the sides as the perimeter is the sum of all sides of the shape or object.
Perimeter: Sum of all sides
Area : Length * breadth or base*height for rectangle
Which services do Washington counties provide residents? Check all that apply. They administer public safety. They create local ordinances. They run county courts. They handle daily municipal operations. They hold regular elections. They administer public transportation.
The services which Washington counties provide residents are: A, C, D and E.
What are Washington counties?Washington counties can be defined as the thirty-nine (39) counties that were created within the state of Washington in the United States of America.
In the United States of America, some of the services which Washington counties provide residents include the following:
They administer public safety. They run county courts. They handle daily municipal operations. They hold regular elections.Read more on Washington counties here: https://brainly.com/question/26003701
#SPJ1
One hundred voters were asked whether they supported a bill that had
The question is cut off.
9 + 10 = ? (im not dumb i wanna give u points its just )
Answer:21 obviously it’s actually (19) don’t tell anyone
Step-by-step explanation:
Anyone know the answer to this
Answer:
x=112
Step-by-step explanation:
First, let's get all of the fractions to a common denominator.
Based on the numbers given (8,56, and 7), let's make all of the denominators be 56
for \(\frac{-7}{8} x\), multiply the numerator and denominator by 7.
\(\frac{-7x}{8}\)×\(\frac{7}{7}\)= \(\frac{-49}{56} x\)
we can leave \(\frac{-5}{56}x\) as it is
and for \(\frac{1}{7} x\), we cam multiply the numerator and denominator by 8
\(\frac{1x}{7}\)×\(\frac{8}{8}\)=\(\frac{8x}{56}\)
Here's the equation now:
\(\frac{-49x}{56}\)-\(\frac{5x}{56}\)+\(\frac{8x}{56}\)=-92
now simlify the fractions
numerators:
-49x-5x+8x=-46x
here's the fraction now:
\(\frac{-46x}{56}\)=-92
We can simplify the fraction by 2 so it's \(\frac{-23x}{28}\)
\(\frac{-23x}{28}\)=-92
now multiply both sides by \(\frac{28}{-23}\), which is the reciprocal of \(\frac{-23}{28}\) (to isolate the variable)
\(\frac{28}{-23}\)×\(\frac{-23x}{28}\)=-92×\(\frac{28}{-23}\)
\(\frac{-92*28}{-23}\)
x=112
Hope this helps!
Answer:
x = 112
Step-by-step explanation:
The common denominator is 56 because 8*7 is 56
\(-\frac{7*7*x}{8*7} -\frac{5*x}{56}+\frac{8*x}{56} = - 92 \\-\frac{49*x}{56} -\frac{5*x}{56}+\frac{8*x}{56} = - 92 \\\frac{-46*x}{56}=-92\)
Multiply both sides by 56
-46*x = -92 * 56
-46*x = -5152
Divide by - 46
x = -5152/-46
x = 112
absolute value evaluate problem
|-4| =?
SHOW WORK:
The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
Read more about expression at
brainly.com/question/15775046
#SPJ1
On October 12, 2020, the number of new cases of Covid 19 in Milwaukee was 235. On Oct. 22, 2020, the number of new cases in Milwaukee was 395.
a. Create an exponential model for new cases in terms of days.
b. Based on your model, what would be the number of new cases on Oct. 31, 2020?
c. The actual number of new cases on Oct. 31, 2020, was 1043. How well does this fit your model?
a. To create an exponential model for new cases in terms of days, we can use the formula: y = a * b ^ x, where y is the number of new cases, x is the number of days since the first observation, and a and b are constants that we need to determine. Using the two data points given, we can set up a system of equations:
235 = a * b ^ 0
395 = a * b ^ 10
Solving for a and b, we get:
a = 235
b = (395/235)^(1/10) = 1.067
Therefore, the exponential model for new cases in Milwaukee is:
y = 235 * 1.067 ^ x
b. To find the number of new cases on Oct. 31, 2020, we need to plug in x = 19 (since Oct. 31 is 19 days after Oct. 12) into the model:
y = 235 * 1.067 ^ 19 = 1018.5
Therefore, based on the exponential model, we would expect around 1019 new cases on Oct. 31, 2020.
c. The actual number of new cases on Oct. 31, 2020, was 1043. This is higher than the predicted value of 1019, but not by a huge margin. Overall, the model seems to fit the data reasonably well, especially considering that there are many factors that can affect the number of new cases in a given area, and that the model is based on only two data points. However, it is worth noting that the exponential model assumes that the growth rate of new cases remains constant over time, which may not be a realistic assumption in the long run.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(8) = 21 B. h(-3) = -1 C. h(2) = 16 D. h(13) = 18
By using the given domain and range, and also the known values for h(x), we conclude that the only option that could be true is C.
h(2) = 16.
Which statement could be true for h(x)?We know that the function h has the domain and range:
D: -3 ≤ x ≤ 11
R: 1 ≤ h(x) ≤ 25
We also know that:
h(8) = 19
h(-2) = 2
Now we want to see which statement could be true.
For example, the first one says that:
h(8) = 21
But this is false, because we already know that h(8) = 19.
Option B can be discarded because h(x) = -1 is not in the range.
Option D can be discarded because x = 13 is not in the domain.
The only option that can be true is h(2) = 16.
Learn more about domain and range:
https://brainly.com/question/10197594
#SPJ1
What is the area of a slice from a 12-inch pizza with a central angle of 50°?
Answer:
the answer for this is 15.7 inches to the second power
Step-by-step explanation:
if this helped you should mark this the brainliest answer
The area of the slice = Area of sector of a circle = 15.7 in.².
What is the Area of a Sector of a Circle?Area of sector of a circle = ∅/360 × πr².
Given the following:
Diameter = 12 in.Radius = 12/2 = 6 in.∅ = 50°Plug in the values:
Area of the slice = Area of sector of a circle = ∅/360 × πr² = 50/360 × π(6²)
Area of the slice = Area of sector of a circle = 15.7 in.².
Learn more about the area of a sector on:
https://brainly.com/question/22972014
What is the distance between the following points?
Answer:
square root of 72
Step-by-step explanation:
Answer:
(c) square root of 72
Step-by-step explanation:
khan academy answer :)
Enter the number that belongs in the green box
The angle measure that belongs in the green box is given as follows:
70.67º.
What is the law of sines?We consider a triangle with side lengths and angles related as follows, as is the case for this problem:
Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.Then the lengths and the sines of the angles are related as follows:
sin(A)/a = sin(B)/b = sin(C)/c.
The relation for this problem is given as follows:
sin(x)/12 = sin(76º)/12.34
Applying cross multiplication, the missing angle measure is given as follows:
sin(x) = 12 x sine of 76 degrees/12.34
sin(x) = 0.9436.
x = arcsin(0.9436)
x = 70.67º.
More can be learned about the law of sines at https://brainly.com/question/4372174
#SPJ1
The prices paid for a particular model of a new car are normally distributed with a mean of ksh 3500000 0 and standard deviation of ksh 150000 Use the 68-95-99.7 Empirical rule to find the percentage of buyers who paid 1. Ksh 3050000 and 3650000 2. Ksh 3200000 and 3350000
Answer:
Step-by-step explanation:
To use the 68-95-99.7 Empirical rule, we need to convert the given prices to standard deviations from the mean using the formula:
z = (x - mu) / sigma
where:
x = the given price
mu = the mean price
sigma = the standard deviation
Once we have calculated the z-scores, we can use the Empirical rule to find the percentage of buyers who paid within a certain range of prices.
For the range of Ksh 3050000 and 3650000:
First, we need to calculate the z-scores for these two prices:
z1 = (3050000 - 3500000) / 150000 = -0.3
z2 = (3650000 - 3500000) / 150000 = 1.0
According to the Empirical rule, about 68% of the buyers paid within one standard deviation of the mean, about 95% paid within two standard deviations, and about 99.7% paid within three standard deviations.
Since z1 is -0.3 and z2 is 1.0, both of these z-scores fall within one standard deviation of the mean. Therefore, we can estimate that about 68% of buyers paid between Ksh 3050000 and 3650000 for this car model.
For the range of Ksh 3200000 and 3350000:
Again, we need to calculate the z-scores for these two prices:
z1 = (3200000 - 3500000) / 150000 = -0.2
z2 = (3350000 - 3500000) / 150000 = -1.0
Both of these z-scores fall within one standard deviation of the mean, so we can again estimate that about 68% of buyers paid between Ksh 3200000 and 3350000 for this car model.
Therefore, the percentage of buyers who paid between Ksh 3050000 and 3650000 is about 68%, and the percentage of buyers who paid between Ksh 3200000 and 3350000 is also about 68%.
The graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds.
A graph titled Streaming Videos has length (seconds) on the x-axis, going from negative 36 to 564. The highest point of the curve is at 264.
What percentage of videos on the streaming site are between 264 and 489 seconds?
0.15%
49.85%
95%
99.7%
According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.
To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.
First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:
z1 = (264 - 264) / 75 = 0
z2 = (489 - 264) / 75 = 3
Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .
For more such questions on normal distribution
https://brainly.com/question/4079902
#SPJ8
Write 34% as a fraction in simplest form
Answer:
The answer is that the simplest fraction form of 34% is 17/50
Step-by-step explanation:
Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.
34% = 17/50
Have an awesome day! :D
Answer:
\(\frac{17}{50}\)
Step-by-step explanation:
To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as \(\frac{34}{100}\).
Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.
\(\frac{34}{100}\) = \(\frac{17*2}{50*2}\)= \(\frac{17}{50}\)
Please help with this question
Answer:
x=2
y=3
z=0
not 100% sure on those answers
the equation x^2-10x+24=0 can be written in factored form as (x-4)(x-6)=0. How can you use this fact to find the vertex of the graph of y=x^2-10+24.
what does "and" mean in maths?
Answer:
and mean another questions
Answer:
add
Step-by-step explanation:
for example two and two makes
Will mark brainliest.
The solution is, the value of the variables are x = 40 and, y = 160.
Notice that "x" and "3x+20" are supplementary angles so their sum is 180°
(x) + (3x + 20) = 180
4x + 20 = 180
4x = 160
x = 40
To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.
(x) + (y - 20) = 180°
40 + y - 20 = 180
y + 20 = 180
y = 160
Answer: x=40, y=160
The solution is, the value of the variables are x = 40 and, y = 160.
To learn more on angle click:
brainly.com/question/28451077
#SPJ1
complete question:
Find the value of each variable
Why can’t we multiply or divide both sides of an inequality by a variable to solve it?
Answer:
When solving an inequality, we must be careful when multiplying or dividing by a variable because doing so can change the direction of the inequality.
For example, consider the inequality:
2x < 6
If we divide both sides by 2, we get:
x < 3
This is the correct solution. However, if we had instead divided both sides by x, we would get:
2 < 6/x
which is not equivalent to the original inequality. To understand why, we can consider two cases:
If x is positive, then dividing both sides by x will preserve the direction of the inequality. However, if x is negative, dividing by x will reverse the direction of the inequality.
If x is zero, then we cannot divide by x, because division by zero is undefined.
In general, when solving inequalities involving variables, it is safer to use algebraic manipulation rules that do not involve multiplying or dividing by variables. These rules include adding or subtracting the same value from both sides, multiplying or dividing both sides by a constant (as long as the constant is positive), and using properties of inequalities such as the transitive property and the addition and multiplication properties.
Hope this helps, I'm sorry if it didn't. If you need more help, ask me! :]
ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!
5. Antonio likes to ride his bike. He can ride from his
house to school in 5 minutes, from school to DJ's
house in 7 minutes, from DJ's house to the mall in
6 minutes, and from the mall to his house in
3 minutes. How long will it take Antonio to ride
from school to the mall if he rides by DJ's house?
The time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be 13 minutes.
How to calculate the time?It should be noted that Antonio can ride from his
house to school in 5 minutes, from school to DJ's
house in 7 minutes, from DJ's house to the mall in
6 minutes, and from the mall to his house in
3 minutes.
Therefore, the time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be:
= School to DJ + DJ to the mall
= 7 minutes + 6 minutes
= 13 minutes
Therefore, the time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be 13 minutes.
Learn more about time on:
brainly.com/question/26314009
#SPJ1
Name the two solutions of 25 = (x – 3)^2
Answer: x = 8, x = -2
Step-by-step explanation:
(x - 3)² = 25
Step 1: Take the square root on each side of the equation.
(x - 3)² = 25
√(x - 3)² = ±√25
Step 2: After taking the square root on each side of the equation, this allows you to solve for x.
x - 3 = ±5
Solution 1
x - 3 = 5
x = 5 + 3
x = 8
Solution 2
x - 3 = - 5
x = -5 + 3
x = -2
Another way to solve this problem is to multiply (x - 3)² using the FOIL methods (first, outer, inner, last) and then set it equal to 25.
(x - 3) (x - 3) = 25
x² - 3x - 3x + 9 = 25
The next step is to add like terms. After adding like terms, solve for x.
x² - 3x - 3x + 9 = 25
x² - 6x + 9 - 25 = 25 - 25
x² - 6x - 16 = 0
Last step is to factor x² - 6x - 16 = 0 so you can solve for the two solutions.
(x - 8) (x + 2) = 0
Solution 1
x - 8 = 0
x = 8
Solution 2
x + 2 = 0
x = -2