Answer:
8.75cm²
Step-by-step explanation:
First we need to find the angle subtended by the arc
L = theta/360 * 2pir
3.5 = theta/360 * 2*3.14(5)
3.5 = theta/360 * 31.4
theta/360 = 3.5/31.4
theta/360 = 0.11146
theta = 0.11146 * 360
theta = 40.13 degrees
Area of the sector = theta/360 * pir^2
Area of the sector = 40.13/360 * 3.14*25
Area of the sector = 40.13/360 * 78.5
Area of the sector = 8.75cm
Hence the area of the sector is 8.75cm²
Somebody help me asap please giving brainliest
What is the range of the following data set?
{2, 9,5, 4, 7, 8}
Answer:
7
Step-by-step explanation:
The range is the distance between the largest and smallest number. So 9-2=7
Hope this helped!
Answer: 9-2=7
Step-by-step explanation:Range is the highest value minus the lowest value in the data set.
Amath class has a total of 45 students. The number of males is 13 more than the number of females. How many males and
how many females are in the class
Number of males:
Number of females
Answer:
Males: 29
Females: 16
Step-by-step explanation:
2x+ 13 = 45
2x = 45 - 13
2x = 32
x = 16
16 + 13 = 29
29 +16 = 45
There are 896 people at the school's basketball game. The
stands are divided into 16 equal sections. If each section
has the same number of people, how many people are in
each section?
There are 56 people in each section
How to determine the number of people?The given parameters are:
Total = 896
Sections = 16
The number of people per section is
People = Total/Sections
This gives
People = 896/16
Evaluate
People = 56
Hence, there are 56 people in each section
Read more about quotient at:
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Find the slope of the coordinates plane points
Answer:
-2
Step-by-step explanation:
When they give you 2 points use the formula so y2-y1/x2-x1
So -2-8/1 - -4
-10/1+4 so -10/5 = -2
3(2x-6) = 18
What is the answer ? Pls I have 10 minutes to get this finished !!
Answer:
x = 6
Step-by-step explanation:
3(2x-6) = 18
6x - 18 = 18
6x = 36
x = 6
you have an ant farm with 34 ants. the population of your ants will double every 3 months. the table shows the population growth of the ants over 9 months. decide whether the table represents a linear function or a nonlinear function. after one year how many ants will there be on the farm?
use the distributive to simplify: 3{4x - 10}
Please solve! (best bet is to use paper)
PLEASE PLEASE PLEASE HELP
Complete this table by entering the addictive inverse of each number.
Answer:
66. 4/8
Step-by-step explanation:
Answer:
-27 -> 27, - 8/3 -> 8/3
Step-by-step explanation:
-27 + 27 = 0
-3/8 + 3/8 = 0
What is the slope of the line that passes through the points (-8,-1) and (-12,-2) ?
Answer:
1/3
Step-by-step explanation:
To find the slope subtract the second y-coordinate from the first y-coordinate and divide it by the result of the second x-coordinate from the first.
-2 - -1 = -1
-12 - -8= -3
-1/-3 = 1/3
Answer:
the answer is 4/1. Or just 4.
Step-by-step explanation:
-8-(-12) is -8+12=4. Then -1-(-2) is -1+2=1.
the area of the square is 25 inches what is the measure on one side of the square??
Answer:
5
Step-by-step explanation:
area of a square= side x side
[tex]\sqrt{25}[/tex] = 5
HELP MEEE!
Find the area and volume for both.
Answer:
Step-by-step explanation:
3.
area of one triangular face = ½×16×30 = 240 in²
area of base = 30×9 = 270 in²
area of diagonal face = 34×9 = 306 in²
area of vertical face = 16×9 = 144 in²
surface area = 2×240 + 270 + 306 + 144 = 1,200 in²
volume = 240×9 = 2,160 in³
:::::
4.
area of one triangular face = ½×10×10.5 = 52.5 ft²
area of base = 10.5×6 = 270 ft²
area of diagonal face = 14.5×6 = 87 ft²
area of vertical face = 10×6 = 60 ft²
surface area = 522 ft²
volume = 52.5×6 = 315 ft³
(THIS IS NOT A TEST OR AN ASSESSMENT QUESTION)
Hugo averages 32 home runs per season with a standard deviation of 2.5. Jacob averages 27 home runs per season with a standard deviation of 1.6. Last season Hugo hit 36 home runs and Jacob hit 31 home runs. Who had more home runs relative to their usual seasonal average? Explain.
Answer:
Jacob had more home runs relative to his usual season average than Hugo did.
Step-by-step explanation:
The key solving this is to express their respective home runs in z-value forms.
Z = (x - ų)/óx
X = Current home runs
Ų = Mean
= Meanóx = Standard deviation
For Hugo,
X = Current home run = 31
Ų = Mean = 27
Óx = Stardard deviation = 1.6
Z = (x - ų)/óx
Z = (31 - 27)/1.6 = 2.5
Hope this helped!!!
The person who had more home runs relative to their usual seasonal average was Jacob.
Calculations and Parameters:Representing their home runs in z-value forms.
Where
Z = (x - ų)/óxX = Current home runsŲ = Mean= Meanóx = Standard deviation
To find the home run for Hugo,
X = Current home run = 31Ų = Mean = 27Óx = Stardard deviation = 1.6Therefore,
Z = (x - ų)/óx
Z = (31 - 27)/1.6
= 2.5
Hence, Jacob had the most home runs relative to their usual seasonal average.
Read more about standard deviation here:
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2 1/5 + 1 2/3
explain please, I'm sorry if I'm asking a lot of questions!!
Answer:
2 1/5 = 11/5 x 3 = 33/ 15
1 2/3 = 5/3 x 5 = 25/ 15
= 33 + 25 = 58/ 15 = 3 13/ 15
:)
Answer: Fraction form: 3 13/15
plz mark me brainliest.
Step-by-step explanation: Fraction form: 3x5=15 so 2/3=10/15 and 1/5=3/15 so 13/15 and 2+1=3 so 3 13/15. plz mark me brainliest
How to mark brainliest:
Tap the crown, if there is no crown reload (there must be 2 answers)
Suppose in this semester, our Exam 1 average was about 86 with an SD of about 10. Suppose the correlation between our Exam 1 and Exam 2 scores will be similar to what it has been in the past, about 0.6, and finally, suppose our Exam 2 scores will be similar to previous semesters' Exam 2 scores with an average of 76 and a SD of 8.2. Use this information to answer the following questions:
1. What is the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores? Round to 3 decimal places.
2. What is the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 scores? Round to 3 decimal places.
Answer:
the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492
And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688
Step-by-step explanation:
Given the data in the question;
mean X" = 86
SD σx = 10
Y" = 76
SD σy = 8.2
r = 0.6
Here, Exam 2 is dependent and Exam 1 is independent.
The Regression equation is
y - Y" = r × σy/σx ( x - x" )
we substitute
y - 76 = 0.6 × 8.2/10 ( x - 86 )
y - 76 = 0.492( x - 86 )
y - 76 = 0.492x - 42.312
y = 0.492x - 42.312 + 76
y = 0.492x + 33.688
Hence, the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492
And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688
6
Solve the inequality. Graph the solution.
11.3 > b /4.3
The solution is
Step-by-step explanation:
Multiply to remove the fraction, then set equal to
0 and solve.
Inequality Form:
b<48.59
Interval Notation:
(−∞, 48.59)
The solution of the inequality 11.3 > b /4.3 is b< 48.59 along with the number line.
Given Inequality:
11.3 > b /4.3
To solve the inequality 11.3 > b / 4.3,
Multiply both sides of the inequality by 4.3 to eliminate the fraction:
11.3 * 4.3 > (b / 4.3) * 4.3
48.59 > b
The solution to the inequality is b < 48.59.
This means that any value of b that is less than 48.59 will satisfy the inequality.
To graph the solution, indicate that b is less than 48.59 by using an open circle at 48.59 and shading the line to the left of the open circle to represent all the values that satisfy the inequality.
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A woman walks at a constant speed of 4.5 km per hr.How long will it take her to walk 10 km. using formula d=St how many hours and minutes
Answer:
1 hour and about 15 minutes.
Step-by-step explanation:
because in an hour she walks 4.5 km. and 4.5•2=9 so just another km will be 10 so estimatly it'll be 1 hour and 15 minutes
2 hours 13 minutes 20 seconds
xyz company's cost function for four months is c=500000+5q
find the break even dollar volume of sales if the selling price is 6 unit
The break even of a company is when cost equals selling function. The break even of xyz company is 500000 units.
Given that:
[tex]c=500000+5q[/tex] --- cost function
[tex]s = 6q[/tex] --- selling function
The break even is when the functions are equal
i.e.
[tex]s = q[/tex]
So, we have:
[tex]6q=500000+5q[/tex]
Collect like terms
[tex]6q - 5q=500000[/tex]
[tex]q=500000[/tex]
The break even is at 500000 units
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Baby Zoe drinks a lot of milk. How many gallons are in 20 pints of milk? (1 gallon=4 quarts, 1 quart= 2 pints)
Answer:
there are 2.5 gallons in 20 pints of milk, or she drinks 2.5 gallons of milk
Step-by-step explanation:
If she drinks 20 pints of milk, you have to convert by dividing.
1 qt= 2 pints
20/2=10
20 pints = 10 quarts
Then, 1 gal = 4 qts
10/4= 2.5
So, there are 2.5 gallons in 20 pints of milk, or she drinks 2.5 gallons of milk.
Hope this helps!!
-Ketifa
(Can I get brainliest?)
Answer:
ehoif :)
Step-by-step explanation:
Sarah is solving for X by the process of completing the square for the following problem..
2x^2+16x-12=0
She got to this point below - type the number that goes in the (?) spot
(x+?)^2=22
Answer:4
Step-by-step explanation: Since she did it by completing the square, then you must do the same thing to get the same form so you can see what that number is.
So first subtract the constant which is -12 so we need to add twelve to get the constant on the other side. So we now have 2x^2+16x=12
The constant of the x^2 must be 1 so we need to divide by 2 on every term to get x^2+8x=12
So to make it so to get a perfect factor we need to divide the x factor by 2 so we get 4.
So the answer is 4 cause it is a perfect factor so were going to get 4 on both factors.
Answer:
4
Step-by-step explanation:
x²+2(x)(?)+?²=22
multiply by 2 because the coefficient of the higher degree in the first equation is 2
2x²+2(2(x)(?))+2(?²)-2(22)=0
2x²+4x(?)+2?²-44=0
Comparison
4x(?)=16x
?=4
2?²-44=-12
So, 2?²=-12+44
2?²=32
?²=16
?=4
Andre and Elena knew that after 28 days they would have 228 coins, but they wanted to find out how many coins that actually is. Andre wrote:
228=2⋅28=56
Elena said, “No, exponents mean repeated multiplication. It should be 28⋅28, which works out to be 784.” Do you agree with either of them? Explain your reasoning.
Answer:
no, exponents are how many times the base is used, it would be 2x2x2... so on until there are 28 2s
Step-by-step explanation:
Please find the area
Answer:
b
Step-by-step explanation:
Area of parallelogram = Area of 2 small triangles
Therefore,
[tex]2( \frac{1}{2} \times 15.1 \times 7) = 105.7 {ft}^{2} [/tex]
A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?
Answer:
286.94 cm
Step-by-step explanation:
Data:
Area = 8,607
b1 = 105
b2 = 123
Area = 1/2 * (b1 + b2) * h
h = 2 * Area/b1 + b2
h = 2 * 8,607/105 + 123
h = 286.94 cm
I'm not sure if it's right but that's what my calculator gave me.
Emma is driving at a constant speed. She drives 4 miles in 5 minutes. If she continues to drive at the same speed, how many miles will she drive in 15 minutes? Use a proportion to solve.
A:3 miles B:12 miles C:20miles D:60miles
Answer:
D. 60 Miles
Step-by-step explanation:
Only answer if you know!!!- Which phrase is represented by the expression - 8n? (1 point)
negative 8 more than a number
8 less than a number
negative 8 times a number
O a number divided by negative 8
Answer:
negative 8 times a number is the desired answer to this mathematical problem about algebra.
keiko has bought 36pounds of dog food, she feed the dog 3/4 pound of food each meal. how many meals would this last
Answer:
48 meals
Step-by-step explanation:
36lbs ÷ 3/4lbs = 48
I NEED HELP NOW THE ASSIGNMENT IS TIMED AND I DON"T HAVE MUCH TIME LEFT HELP PLEASEEEE I WILL GIVE EXTRA POINTS
Thuy is substituting t = 3 and t = 8 to determine if the two expressions are equivalent.
4 (6 t + 1) 24 t + 1
Which statement is true?
Both expressions are equivalent to 73 when t = 3.
Both expressions are equivalent to 76 when t = 3.
Both expressions are equivalent to 193 when t = 8.
The expressions are not equivalent.
the answer is B) both expressions are equivalent to 76 when t=3
Hope this helps :)
Answer:
D
Step-by-step explanation:
Hope i helped :)
(-4.2)²×..........=-132.3
Answer:
-7.5
Step-by-step explanation:
-4.2×-4.2 = 17.64
-132.3/17.64= -7.5
Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 6 + 2x2 + 2y2 and the plane z = 12 in the first octant
Answer:
[tex]\frac{9\pi }{4}[/tex]
Step-by-step explanation:
Paraboloid z = 6 + 2x^2 + 2y^2 ----- ( 1 )
plane z = 12
equation 1 becomes
12 = 6 + 2( x^2 + y^2 )
hence : ( x^2 + y^2 ) = 3
This shows that the solid lies under the parabolic and above the disk 0 : x^2 + y^2 ≤ 3
attached below is the remaining part of the solution