Answer:
Step-by-step explanation:
1. 65,700. 65,740 65,743 65,743.2 65,743.18
2. 0 20 20. 19.7 19.74
3. 8,500. 8,460. 8,456 8,456.2 8,456.19
4. 300. 320. 318 318.3 318.28
A cyclist rides her bike at a rate of 10 kilometers per hour what is this rate in miles per hour? How many miles will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers l. Do not round your answers
Answer:
cyclist will travel 64 kilometres in 4 hours
Step-by-step explanation:
speed of cyclist = 10 miles per hour
given 1 mile is equal to 1.6 kilometres.
1*10 miles will be equal to 1.6*10 kilometres
thus , 10 mile is equal to 16 kilometres
using 16 km in place of 10 miles in 10 miles per hour
we have
speed of cyclist = 16 kilometres per hour
we know that distance = speed * time
speed is 16 kilometres per hour
time 4 hours
thus , distance = 16*4 kilometres= 64 kilometres.
cyclist will travel 64 kilometres in 4 hours.
(Hope this helps can I pls have brainlist (crown)☺️)
t Park Junior High, 10%, or 160, of the students, play a musical instrument. How many students attend the school?
A tape diagram. StartFraction part Over whole EndFraction = StartFraction 10 Over 100 EndFraction = StartFraction 160 Over question mark EndFraction
Which statements are correct? Check all that apply.
The total number of students is 160.
The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction.
The percent as a part-to-whole ratio is StartFraction 160 Over 100 EndFraction
There are 1,600 students in the school.
There are 250 students in the school.
Answer:
The total number of students is > 160.
The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction.
There are 1,600 students in the school.
Step-by-step explanation:
got is correct
Answer:
2,3,5 for eg. 2020
Step-by-step explanation:
There are 6 pails in a row. The first 3 pails are filled with water. How can you make only one adjustment to make the following pattern: full, empty, full, empty, full and empty?
The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
Given that, there are 6 pails in a row. The first 3 pails are filled with water.
The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.
Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
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help please hurry !!!!!!
Answer:
Step-by-step explanation:
circumference= 29.83
2 times 3.14 times radius
area=70.83
3.14 times radius squared
3. radius
4. Diameter
radius is 4.75
diameter is 9.5
not 100% sure on finding the angle measure. looks about 40 degrees
pleas yall help me with this cause I'm dumb
Answer:
-4.8
Step-by-step explanation:
an integer is a whole number that is not a fraction or decimal.
Answer:
The answer would be D :)
Step-by-step explanation:
Determine the equation of the circle with center (-7, -4) containing the point
(-1,-8).
Answer:
(-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52
Step-by-step explanation:
i literally just learned this today so here we go:
The equation of a circle with center (h, k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
We are given the center of the circle as (-7, -4), so we can substitute these values for h and k:
(x - (-7))^2 + (y - (-4))^2 = r^2
(x + 7)^2 + (y + 4)^2 = r^2
We also know that the circle contains the point (-1, -8).
We can substitute these values for x and y, and solve for r:
(-1 + 7)^2 + (-8 + 4)^2 = r^2
36 + 16 = r^2
r^2 = 52
Substituting this value of r^2 into the equation for the circle, we get:
(x + 7)^2 + (y + 4)^2 = 52
Therefore, the equation of the circle with center (-7, -4) containing the point (-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52
Find the value of EC.
13
12
E
B
EC = [?]
Answer:
8Step-by-step explanation:
NOT 5.
_____________________
Firstly note that the radius of the circle is 13 ( centre to D )
Thus the distance from B to the centre is 13
Thus B → E → centre is a right triangle and distance from centre to E (x) can be calculated using Pythagoras' identity, that is
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = = 5
The distance from the centre to C ( the radius ) is 13, thus
x + EC = 13, that is
5 + EC = 13 ( subtract 5 from both sides )
EC = 8
Answer:
The answer is 8
Step-by-step explanation:
help me please
Indicate the method you would use to prove the two triangles. If no method applies, enter "none".
AAS
SSS
NONE
SAS
ASA
Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.
how do i find y in this equation: 5y/4 = 10
Answer:
y = 8
Step-by-step explanation:
\( \frac{5y}{4} = 10\)
\( \frac{4}{5} \times \frac{5y}{4} = \frac{4}{5} \times 10\)
\( \frac{1}{5} \times 5y = \frac{4}{5} \times 10\)
\(y = \frac{4}{5} \times 10\)
\(y = 4 \times 2\)
\(\boxed{\green{y = 8}}\)
Answer:
y=8
Step-by-step explanation:
We move all terms to the left:
5y/4-(10)=0
We multiply all the terms by the denominator
5y-10*4=0
We add all the numbers together, and all the variables
5y-40=0
We move all terms containing y to the left, all other terms to the right
5y=40
y=40/5
What is the value of x? ? 21 21 Drawing not to scale 78 156 D787
We can find the value of x, by using the property of issoceles triangle:
A isosceles triangle is a triangle that has two sides of equal length.
In the given figure, triangle have two sides of equal length 21, thus the given triangle is issoceles.
Since, the angle opposite to the equal sides are equal,
so, the third angle of the given triangle is x
The sum of all angles in a triangle is equal to 180 degrees.
In the given figure : x, x & 34
\(\begin{gathered} x\text{ + x +34=180} \\ 2x+34=180 \\ 2x=180-34 \\ 2x=146 \\ x=\frac{146}{2} \\ x=73 \end{gathered}\)So, x = 73º
Answer: D) 73º
solve
-2x+3y=-9
4x-6y=2
Step-by-step explanation:
Given,
-2x + 3y = -9 ------- (eqⁿ 1)
4x - 6y = 2 ----------- (eqⁿ 2 )
now,
multiply eqⁿ 1 by 2
so we got,
-4x + 6y = -18 -------- (eqⁿ 3)
now,
subtract eqⁿ 2 from eqⁿ 3
we got,
-8x = -16
x = -16/-8
x = 2,
so , after putting values in the eqⁿ 2
we got,
4(2) - 6y = 2
8 - 6y = 2
6y = 2 - 8 = 6
y = 6/6
y = 1
x = 2 and y = 1
hope this answer helps you dear...take care!
The box is a rectangular prism. He covered all the sides with the of the box with special wallpaper that cost a total of $504. How much wallpaper cost per square foot length is 6 feet width is 5 feet and height is 3 feet.
The cost of the wallpaper per square foot is $4.
To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.
The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.
The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.
The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.
The total surface area of the box is 36 + 30 + 60 = 126 square feet.
Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.
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In highlighted questions, find each measure.
Answer:
a student cored 60 out of 25 in maths exam what is the student
A 440 kg roller coaster car is going 26 m/s when it reaches the lowest point on the track. If the car started from rest at the top of a hill, how much higher was that point on the track than the lowest point? (Use g = 9.80 m/s2, and ignore friction.)
Answer:
34.49 m
Step-by-step explanation:
Use the formula height = \(\frac{v^{2} }{2g}\)
1. Substitute in the values given
26² / 2(9.8)
2. Simplify and solve
676 / 19.6 = 34.49
Answer:
The answer is C: 34 m
The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of x.
84° 68° 95° x°
Answer:
x=113
Step-by-step explanation:
because 95 + 84 + 68 is 247 360 - 247 = 113
) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
What are the different types of cardinal numbers?
Answer:
Cardinal, Ordinal, and Nominal Numbers
Step-by-step explanation:
Answer:
A Cardinal Number is a number that says how many of something there are, such as one, two, three, four, five. An Ordinal Number is a number that tells the position of something in a list, such as 1st, 2nd, 3rd, 4th, 5th etc
If p and q vary inversely and p is 2 when q is 21, determine q when p is equal to 6.
Answer:
\(q = 7\)
Step-by-step explanation:
Given
\(p\ \alpha\ \frac{1}{q}\) --- inverse variation
\(p =2; q = 21\)
Required
Find q when \(p = 6\)
\(p\ \alpha\ \frac{1}{q}\)
This becomes
\(p = \frac{k}{q}\)
Where k is the constant of variation.
Make k the subject
\(k = p * q\)
Substitute \(p =2; q = 21\)
\(k = 2 * 21\)
\(k =42\)
When \(p = 6\), we have:
\(p = \frac{k}{q}\)
\(6 = \frac{42}{q}\\\)
Make q the subject
\(q = \frac{42}{6}\)
\(q = 7\)
The stem-and-leaf plots list the ages of the people in Lee’s study group and in Paul’s study group.
Which statement is NOT correct?
a. Paul’s group has a wider range of ages.
b. The data for Paul’s group has two modes.
c. The median age in both groups is 44 years.
d. The mean age in both groups is between 41 and 42 years.
The false statement from the stem-and-leaf plot is given as follows:
b. The data for Paul’s group has two modes.
What is a stem-and-leaf plot?The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:
4|5 = 45.
The mode of a data-set is the data-set that appears the most times in a data-set.
Hence, for Paul's group, the mode is given as follows:
44.
As it is the only observation that appears the times, hence the data has one mode, and option b gives the false statement.
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13 A young girl standing on a cliff is throwing stones up into the air so that they land in the ocean below. The height h, in meters, of each stone above the ocean is related to the
time 1, in seconds, after it has been thrown by the function
h = -21? + 21 + 40. What is the maximum height reached by
each stone?
The maximum height reached by each stone is 40.5 meters.
The height of each stone above the ocean is given by the function:
h = -2t² + 2t + 40
This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.
The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.
The t-coordinate of the vertex is given as:
t = -b / 2a
Substitute the values of a and b,
t = -2 / (2×(-2)) = 0.5
So the maximum height is reached 0.5 seconds after the stone is thrown.
To find the maximum height, substitute the value of t into the function:
h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters
Therefore, the maximum height reached by each stone is 40.5 meters.
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Need help with math homework
e^x=10^(x-1)
Answer:
Step-by-step explanation:
This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:
ln(e^x) = x-1
In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:
ln(10^(x-1)) = x-1
e^(x-1) = 10^x
The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.
A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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Muhammed has money to invest in one of two accounts.Account 1 requires a $2,000 investment for 4 years. It earns 3% interest compounded monthly.Account 2 requires a $2,200 investment for 2 years. It earns 5% interest compounded daily.Which account will earn more interest for Muhammed, and how much?Select the answer that is completely correct.Account 2 earns $232.39 more than Account 1.Account 1 earns $23.30 more than Account 2.Account 1 earns $18.87 more than Account 2.Account 2 earns $176.70 more than Account 1
Given:
Account 1:
Principal, P = $2000
Time, t = 4 years
Rate, r = 3% = 0.03
number of times compounded, n = monthly = 12 months/year
Account 2:
Principal, P = $2200
Time, t = 2 years
Rate, r = 5% = 0.05
number of times compounded, n = daily = 365 days/year
Let's determine the account which will earn more interest.
Apply the compound interest formula:
\(I=(P(1+\frac{r}{n})^{nt})-P\)Where:
P is the Principal
r is the interest rate
n is the number of times the ineterest is compounded per unit time'
t is the time in years
Now, let's find the interest earned in each account.
• ACCOUNT 1:
\(\begin{gathered} I=(2000(1+\frac{0.03}{12})^{12\times4})-2000 \\ \\ I=(2000(1+0.0025)^{48})-2000 \\ \\ I=(2000(1.0025)^{48})-2000 \\ \\ I=2254.66-2000 \\ \\ I=254.66 \end{gathered}\)
The interest earned in account 1 is $254.66
• ACCOUNT 2:
\(\begin{gathered} I=(2200(1+\frac{0.05}{365})^{730})-2200 \\ \\ I=(2200(1+0.00013698)^{730})-2200 \\ \\ I=2431.36-2200 \\ \\ I=231.36 \end{gathered}\)
The interest earned in account 2 is $231.36
We can see the interest earned in account 1 is greater than the interest earned in account 2.
To find the difference, we have:
$254.66 - $231.36 = $23.30
Therefore, Account 1 earns $23.30 more than Account 2.
ANSWER:
Account 1 earns $23.30 more than Account 2.
Sophia made a table and a graph for the equation Y equals 4X Did Sophia make these items correctly? Select the true statement
Answer:
Hey thats my name!! Anyways sorry I cant help you unless you give the options.
Step-by-step explanation:
How many women must be randomly selected to estimate the mean weight of women in one age group? We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean, and population standard deviation is known to be 28 lbs.
Answer:
155 women must be randomly selected.
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.9}{2} = 0.05\)
Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
The population standard deviation is known to be 28 lbs.
This means that \(\sigma = 28\)
We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?
This is n for which M = 3.7. So
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(3.7 = 1.645\frac{28}{\sqrt{n}}\)
\(3.7\sqrt{n} = 1.645*28\)
\(\sqrt{n} = \frac{1.645*28}{3.7}\)
\((\sqrt{n})^2 = (\frac{1.645*28}{3.7})^2\)
\(n = 154.97\)
Rounding up:
155 women must be randomly selected.
here is a set of data concerning preference for oreos with different kinds of filling. the rating scale goes from 1 (not preferred) to 5 (preferred). a formal test reveals that chocolate is significantly more preferred than vanilla (p<.05). the raw data and some descriptive statistics are tabulated below, along with two unlabelled plots of the data.
In a set of data concerning the preference for Oreos with different kinds of fulling the rating scale as r= 0.69896 The x vanilla rating and x chocolate rating are the right answer
X Y (x-xbar) (x-xbar)^2 (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar)
4 4 0 0 0.416666667 0.173611111 0
3 2 -1 1 -1.583333333 2.506944444 1.583333333
5 5 1 1 1.416666667 2.006944444 1.416666667
3 4 -1 1 0.416666667 0.173611111 -0.416666667
5 3 1 1 -0.583333333 0.340277778 -0.583333333
5 4 1 1 0.416666667 0.173611111 0.416666667
4 3 0 0 -0.583333333 0.340277778 0
4 4 0 0 0.416666667 0.173611111 0
3 3 -1 1 -0.583333333 0.340277778 0.583333333
5 5 1 1 1.416666667 2.006944444 1.416666667
5 4 1 1 0.416666667 0.173611111 0.416666667
2 2 -2 4 -1.583333333 2.506944444 3.166666667
The correlation coefficient is given by
r = Σ(x- x bar) (y-ybar) / Σ\((x - xbar)^{2}\) - Σ \((y - ybar)^{2}\)
r = 8 / \(\sqrt{12 x 10.9167}\)
r = 0.69896
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A sphere and its dimension are shown in the diagram 15 inches
The measurement that is closest to the volume of the sphere is given as follows:
1,767.1 in³.
What is the volume of an sphere?The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:
\(V = \frac{4\pi r^3}{3}\)
From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:
r = 0.5 x 15
r = 7.5 units.
Then the volume of the sphere is given as follows:
V = 4/3 x π x 7.5³
V = 1,767.1 in³.
Missing InformationThe sphere is given by the image presented at the end of the answer.
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What is another way to write 75?
A. 5+5+5+5+5+5+5
B. 5×5×5×5×5×5×5
C. 7×7×7×7×7
D. 7+7+7+7+7
Answer:
c
Step-by-step explanation:
Answer:
1236835728943470
Step-by-step explanation:
the soccer team manager plans to have 2 gallons of water for every 4 players on the team during practice. determine whether the statements about ratios are true or false.
A. The team manager needs 1 gallon of water for every 1 player
` true or false
B. The ratio of number of players to gallons of water is 2:1
` true or false
C. The team manager ould need 4 gallons of water for 10 players
` true or false
D. For 30 players, the team manager would need 15 gallons of water ` true or false
Answer:
A.=False
B.=True
C.=False
D.=True
Step-by-step explanation:
The original ration is 2 gallons of water for 4 players.
Each player requires 1/2 gallon of water.
To get the amount of water needed multiply 1/2 by the amount of players.
1*(1/2) does not equal 1
2*(1/2) equals 1
10*(1/2) does not equal 4
30*(1/2) equals 15
A boy earned $21.75 for babysitting. He spent of his
earnings to buy lunch.
How much money does the boy spend on his lunch?
Answer:
$21.75
Step-by-step explanation:
It says he spent his earnings on lunch.