The amount of time that it takes to run around the baseball field is 120 seconds.
We have,
The given rate is 8 feet per second.
radius is 250 feet.
The measure of arc is 40% of radius of circle is 175 feet.
Now, Circumference of a circle = 2πr.
and, the length of arc is
= 40% of 2×3.14×175
= 40% of 1099
= 40/100 ×1099
= 0.4×1099
= 439.6
≈ 440
So, Total perimeter = 250+250+440
= 940 feet
and, Number of seconds = 940/8
= 117.5
Thus, the time taken 120 second.
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2
6
7
10
Which is the graph of the linear inequality x-2y>-6?
-10-3--3-4-2₂ ²4
8 10 x
-10-8-
2₂-
6 8 10 x
8
40
10-
-10-8-42₂.
10
Answer:
78
Step-by-step explanation:
At a bake sale, Tia and Jaden earned $147 from the cookies they had sold. Then they paid Tia’s mother back $18 for materials to make the cookies. After the children paid Tia’s mother back for materials, how much did they earn at the bake sale
Answer: The total profit is $129
Step-by-step explanation:
The total revenue, was $147 (the total they earned), and the cost of the materials is $18 (how much they returned for the materials)
The total profit is computed as the difference between the revenue and the costs, then the total profit of the kids in this case is:
Profit = $147 - $18 = $129
This means that Tia and Jaden earned $129, if they divide it evenly, each one of them gets $129/2 = $64.5
Mai biked 5 1/4 miles today, and Noah biked 2 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?
Answer:
The length of Mai's bike ride was 2.1 times the length of Noah's ride.
Step-by-step explanation:
Mai biked 5 1/4 miles today
So he biked, in miles:
\(5 + \frac{1}{4} = \frac{5*4 + 1}{4} = \frac{20+1}{4} = \frac{21}{4}\)
Noah biked 2 1/2 miles.
So, in miles, he biked:
\(2 + \frac{1}{2} = \frac{2*2 + 1}{2} = \frac{4+1}{2} = \frac{5}{2}\)
How many times the length of Noah’s bike ride was Mai’s bike ride?
We divide the Mai distance by Noah's distance. In a division of fractions, we multiply the numerator by the inverse of the denominator. So
\(\frac{\frac{21}{4}}{\frac{5}{2}} = \frac{21}{4} \times {2}{5} = \frac{21*1}{2*5} = \frac{21}{10} = 2.1\)
The length of Mai's bike ride was 2.1 times the length of Noah's ride.
Every surface of the block shown will be painted, except for one of the bases. How many square units will be painted? 3.2 cm 3.2 cm 3.2 cm
As given that the every surface of the block shown will be painted, except for one of the bases.
And a block have 6 surface but one is not painted so there are 5 surface that are painted so:
The area of the painted surface is:
\(A=5a^2\)Where a is 3.2 cm
\(\begin{gathered} A=5(3.2)^2 \\ A=5\times10.24 \\ A=51.2cm^2 \end{gathered}\)The area of painted surface is 51.2 square cm
3. Find F(3).
F(x)=-x^3+4x^2-2x
Answer:
To Find F(3) you just have to replace x=3 so:
F(3)= -3^3 + 4×3^2 -2×3 = -27 +4×9 - 6 = -33 + 36 = 3
Are The Ratios 1:2 and 5:14 equivalent?
The ratios are equivalent if:
\(\frac{2}{1}\equiv\frac{14}{7}\)For example, given a length of 20cm:
\(\begin{gathered} 20\times\frac{2}{1}=20\times2=40\operatorname{cm} \\ 20\times\frac{14}{7}=20\times2=40\operatorname{cm} \end{gathered}\)Since:
\(40\operatorname{cm}=40\operatorname{cm}\)We can conclude that they are equivalent
12. The weights of bags of corn produced at a factory are normally distributed with a mean
of 28 oz and a standard deviation of 2 oz. Consider a shipment of 800 bags of corn.
How many of the bags will weigh 26.5 oz or less?
Answer:
If they are 28 Oz and a deviation of 2 it will be 26 so 26 times 800 will be 4800. so technically 1 bag is 26oz so the answer is 1 bag.
what are the x intercepts of y=4x^2-12x+4
The x-intercepts of the given equation 4x^2-12x+4 is -3/2
What is Quadratic equation ?
Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0
where c is a constant.
Given equation ,
y = 4x^2+12x+4
so we have to find the x-intercept , make y = 0
and we have to solve for the given quadratic equation
so,
we get
4x^2+12x+4 = 0
(2x)^2 + 9 + 12x = 0
(2x+3)^2 = 0
x = -3/2
There is double root unique intercept or tangent at x = -3/2
Therefore, The x-intercepts of the given equation 4x^2-12x+4 is -3/2
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Pls help
Which of these rational number's is the product of the other 6:
2/99, 2/3, 5/7, 2 1/3, 2 1/4, 10/11, 18.
Answer:
10/11
Step-by-step explanation:
Find the slope of the line that passes through the pair of points (-1,-9) and (-3,10)
Answer:
-9.5
Step-by-step explanation:
The slope (m) is the ratio of the change in y to the change in x:
m = (y2 -y1)/(x2 -x1)
m = (10-(-9))/(-3-(-1)) = 19/-2
m = -9.5
The slope of that line is -9.5.
__
The graph shows the line through those points, written in point-slope form.
Pam says that the temperature of liquid drops more in the first three minutes of cooling then it does between time nine minutes and time 12 minutes. Is pam correct give a reason for your answer
Answer:
Pam is correct!
Step-by-step explanation:
Pam is correct it would be between nine minutes and 12!
What is the slope-intercept form of the equation 6x-3y=18
Answer:
2
Step-by-step explanation:
Given,
6x-3y=18
or, -3y=18-6x
dividing by 3 into both sides and multiply by -1
we get,
y=2x-6
comparing above eq with linear equation y=mx+c
we get,
m=2 Ans.
The ratio of red pens to blue pens in maxs drawer is 4 to 5 how many red pens and how many blue pens are there in the drawer if there are 342 pens altogether? HELP PLEASE
There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.
Let's solve the problem step by step:
Identify the given information:
The ratio of red pens to blue pens is 4 to 5.
There are a total of 342 pens in the drawer.
Set up the ratio equation:
Let's assume the number of red pens is 4x, and the number of blue pens is 5x.
Here, 'x' is a scaling factor that allows us to find the actual number of pens.
We can write the equation as: 4x + 5x = 342.
Simplify and solve the equation:
Combining like terms, we have 9x = 342.
Divide both sides of the equation by 9 to solve for 'x':
x = 342 / 9 = 38.
Calculate the number of red pens and blue pens:
Now that we have the value of 'x', we can find the number of red and blue pens:
Number of red pens: 4x = 4 × 38 = 152.
Number of blue pens: 5x = 5 × 38 = 190.
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A number is between 41 and46. It has prime factor of 2 and 11. What is the number?
Answer:
The required number lies between 41 and 46 and has prime factors of 2, and 11 is 44.
Step-by-step explanation:
The number lies between 41 and 46 are 42, 43, 44, and 45. From the straightforward observation and according to the condition that must be divisible by 2 and 11 there is only one number that is divisible by both 2 and 11 is 44.
6.139 rounded to the nearest hundredth?
Answer:
Step-by-step explanation: 6.140
There are 60 flowers in a bouquet, 24 of which are yellow. What percent of the flowers are yellow?
Answer:
40%
Step-by-step explanation:
Caroline packs 12 jars of jam in a box . She has 50 boxes. She has 665 jars of jam. How many jars of jam will she have left when all the boxes are full?
Answer:
62 is the answer
Step-by-step explanation:
Hope that helps!
The diameter of the low power field of a certain microscope is 1.6 millimeters. The diameter of a cell that is half the diameter of the field is…
Show work please
Answer:
0.8 mm
Step-by-step explanation:
You want a diameter that is half one that is 1.6 mm.
HalfHalf of 1.6 mm is ...
0.5 × 1.6 = 0.8 . . . . mm
The cell diameter is 0.8 mm.
Suppose the prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between $149,000 and $151,000 if the standard deviation is $1000
The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .
We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.
Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.
In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:
z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1
Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:
0.8413 - 0.1587 = 0.6826
We can get the percentage of consumers who spent between by multiplying this by 100% is \($149,000\) and \($151,000\):
0.6826 x 100% = 68.26%
Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\) for this model of new homes.
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The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions? Give your answer in. meters( Math in focus singapore math course 1 B)
Answer:
The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.
In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:
C = pi x d = 3.14 x 60 = 188.4 centimeters
When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:
distance = 35 x circumference = 35 x 188.4 = 6584 centimeters
We can convert centimeters to meters by dividing the distance by 100:
distance = 6584 ÷ 100 = 65.84 meters
Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.
Classify the polynomial 2x^3+6x^2-4 by the number of terms. binomial. trinomial. cubic. quadratic.
Answer:
monomial
Step-by-step explanation:
Question 1 of 10
Simplify the following expression.
3x^4+2x³-5x² +4x²+6x-2x-3x^4 +7x^5-3x³
Combining like terms yields 7x⁵ - x³ - x² + 4x.
I need help with this please help me
Answer: 18
Step-by-step explanation:
\(\triangle HJK \cong \triangle HLK\) by HL. Therefore, \(JK=2\) by CPCTC.
Using the segment addition postulate, \(GK=9\).
Furthermore, \(\triangle HGK \cong \triangle HMK\) by HL. This means that \(MK=9\) by CPCTC.
Using the segment addition postulate again, \(GM=9+9=18\).
Guys help me what is 137x8 multiply with expanded form???????????? Please help!!!!!!!!!!!!!!!!!! 33 points for the person who helps
Answer:
maybe 20
Step-by-step explanation:
or find it out yourself
The point (5, -2) is translated by (x,y)→
(x - 4, y + 5), then rotated 90°
clockwise. What are the coordinates of the final image?
Answer:
(1,3)
Step-by-step explanation:
hope it's help ful
A recipe requires 3/4 of a cup of water. Marley has 1 1/2cup measuring cup. How much of the measuring cup is filled with water?
Answer:
1/2 of the cup.
3/4 is half of 1 1/2.
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
PLS HELP
I BEG OF YOU
What is the equation of the line that passes through the point (5, -6)
and has a slope of –3/5?
Answer:
y = -3/5x - 3
Step-by-step explanation:
Help Me Please!!!!!!!!!!!
Answer:
Have a good day
Step-by-step explanation: and so have a good day