Answer:
11494.04cm³
Step-by-step explanation:
Volume of a sphere
V = 4/3πr³
you got a diameter of 28cm, so half of taht is the radius.
r = 14cm
plug in and solve
V = 4/3πr³
= 4/3π(14)³
= 11494.04cm³
Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represents the total cost and h represents the hours worked. Use pencil and paper to create a table of values for hours worked from 1 to 5, incrementing h by 1 in each row.
Answer:
1 hour : 15 dollars
2 hours: 20 dollars
3 hours: 25 dollars
4 hours: 30 dollars
5 hours: 35 dollars
Step-by-step explanation:
Substitute the hour number in for h and solve. for example, if you were trying to find 5 hours, you would produce the equation c = 5(5) + 10. once you solve that you get c = 25 + 10 which is also c = 35.
Em determinada loja, o lucro obtido pela venda de x fones de ouvido, em reais, pode ser representado pela expressão algébrica 7x-17. Qual será o lucro obtido por essa loja se forem vendidos 13 fones de ouvido?
Answer:
74 reais
Step-by-step explanation:
Em uma determinada loja, o lucro obtido com a venda de fones de ouvido x, em reais, pode ser representado pela expressão algébrica 7x-17. Quanto lucro esta loja terá se vender 13 fones de ouvido?
O lucro é representado como 7x - 17
onde x = número de fones de ouvido vendidos
Se 13 fones de ouvido foram vendidos, o lucro será:
(7 * 13) - 17
= 91 - 17
= 74 reais
Each unit on the coordinate grid represents 1 yard. The rectangular pool and triangular hot tub shown are both in need of covers. How much total material is needed to cover both? square yards
Answer:
29 square yards
Step-by-step explanation:
see attachment for the graph
Vertices of rectangular pool are A(3,2),B(7,8),C (4,10), and D (0,4).
AB=[tex]\sqrt{(7-3)^{2}+(8-2)^{2}}= \sqrt{16+36}=\sqrt{52}[/tex] yard=CD
BC= [tex]\sqrt{(7-4)^{2}+(8-10)^{2}}=\sqrt{9+4}=\sqrt{13}[/tex]yard=DA
In order to find the area of rectangular pool =Length × Breadth
=√52 ×√13=13×2=26 sq. yard
Vertices of triangle given are: P(5,2),Q(7,2) and R(7,5).
PQ= 2 units, QR= 3 units
Area of right triangle PQR=1/2 ×PQ×PR
=1/2×2×3= 3 sq. yards
Next is to find total material needed to cover( that includes bot rectangular pool and triangular hot tub)
= Area of rectangle + Area of right triangle
=26+3=29 square yards
Answer:
29
Step-by-step explanation:
I just did my homework
help i will give brainliest
Answer:
93°Step-by-step explanation:
[tex]\dfrac{|AC|}{\sin B}=\dfrac{|AB|}{\sin C}\\\\\dfrac{9}{\sin38^o}=\dfrac{11}{\sin C}\\\\\dfrac{\sin38^o}9=\dfrac{\sin C}{11}\\\\\sin C=\frac{11}9\sin38^o =\frac{11}9\cdot0,6157=0,7525(2)\\\\\sin C\approx0,7525\quad\iff\quad |\angle C|\approx48^o48'\\\\|\angle A|=180^o-|\angle B|-|\angle C|\\\\|\angle A|=180^o-38^o-48^o48'\\\\|\angle A|=93^o12'\approx93^o[/tex]
What's the correct answer to this? Please help..
Answer: C
Step-by-step explanation:
Simplify(Subtract 2)
x > 0
Greater than is represented by a open circle with an arrow pointing right. Because x is greater than 0, the point must be on 0.
Hope it helps <3
Answer:
C
Step-by-step explanation:
The inequality is x+2 > 2
x+2 >2 substract 2 from each side x+2-2 > 2-2x > 0x > 0 means that x is positive
so the graph must start from 0 and then should grow towrd the positive value
since we have x > 0 then 0 should be excluded
the graph that fits our solution is c where 0 is excluded
A skateboard ramp has a slope of 5/6. What is the measure of the angle the ramp forms with the ground to the nearest degree
Answer:
39.8°
Step-by-step explanation:
We know slope is rise over run. That would mean our right triangle would have a horizontal leg of 6 and a vertical leg of 5. From there we use tan∅ to help solve ∅:
tan∅ = 5/6
∅ = tan⁻¹(5/6)
∅ = 39.8056
A jar consists of blue, red and green marbles. The probability of each of them is 2/7 , 3/k and 5/2k. Find the value of k.
Answer:
k = 77/10
Step-by-step explanation:
The jar consist of blue, red and green marbles . The probability of each of them can be described as follows.
probability of blue marbles = 2/7
probability of red marbles = 3/k
probability of green marbles = 5/2k
The sum of the individual probability is equals to 1. Therefore,
2/7 + 3/k + 5/2k = 1
collect like terms
(6 + 5)/2k = 1 - 2/7
11/2k =(7 - 2) /7
11/2k = 5/7
cross multiply
10k = 77
divide both sides by 10
k = 77/10
The price of apples at three different stores is shown below. Store R sells apples for $1.20 per pound. Store S sells 4 pounds of apples for $5.00. Store T sells 3 pounds of apples for $3.48. which of these is a true statemnt
Answer:
Store T sells apples at the lowest rate
$1.16
Step-by-step explanation:
which of these is a true statemnt
Store R sells apples at the lowest rate
Store T sells apples at the lowest rate
Store s charges a lower rate than Store T
Store t charges the same rate as Store R
Given:
Store R= $1.20 per pound
Store S =$5.00 for 4 pounds
Store T=$3.48 for 3 pounds
Find the price of apple per pound
Store R=1.20 per pound of Apple
Store S=$5.00/4
=$1.25 per pound of Apple
Store T=$3.48/3 pounds
=$1.16 per pound of Apple
From the statements above,
Store T sells apples at the lowest rate
f(x)=x^3-2x^2-11x+12 r theorem to find the x-intercepts of the function, and plot their x-values on the number line.
Answer:
x intercepts are : (1,0)(4,0),(-3,0)
Step-by-step explanation:
x intercepts are : (1,0)(4,0),(-3,0)
plot only the x values
hope it helps
Two fair dice are rolled 3 times and the sums of the numbers that come up is recorded. Find the probability of these events. A) the sum 10 on each of the three rolls? B) the sum is 10 exactly twice in three rolls?
Answer:
A) P(10 on three rolls) = 1/1728 = 0.0005787
B) P(10 in two of three rolls) = 11/1728 = 0.0063657
Step-by-step explanation:
Each die has 6 possible values, so a pair of dice have a total of 6*6=36 outcomes.
To find a sum of 10, the cases are:
(4,6), (5,5) and (6,4).
So to have a sum of 10 we have 3 cases among the 36 possible, therefore the probability is:
P(10) = 3/36 = 1/12
A)
If we want the sum of 10 in each of the three rolls, the probability is:
P(10 on three rolls) = P(10)^3 = (1/12)^3 = 1/1728 = 0.0005787
B)
If the sum is 10 in two of three rolls, in one roll we need the probability of the sum not being 10:
P(not 10) = 1 - P(10) = 1 - (1/12) = 11/12
So we have:
P(10 in two of three rolls) = P(10)^2 * P(not 10) = (1/12)^2 * (11/12)
P(10 in two of three rolls) = 11/1728 = 0.0063657
Is [tex]\frac{\pi }{2}[/tex] irrational or rational, include explanation
It would be irrational.
Reasoning:
A rational number is any number that can be expressed as a fraction of two integers provided that the denominator is not zero.
π is an irrational number because its approxiamation is [tex]\frac{22}{7}[/tex] is not the exact value of π. Additionally, we know that the quotient of irrational numbers can be rational or irrational. Here is the case where we have [tex]\frac{\pi }{2}[/tex], an irrational number divided by a rational number giving a quotient that is irrational.
Answer: irrational
Step-by-step explanation:
Apart from multiplying by 0 or dividing by pi, nothing can make pi rational. pi/2 is the same thing as 1/2pi, which is irrational, because it cannot be simplified into a repeating or terminating decimal
Enter values to complete the table below.
Answer: The answers are in the steps
Step-by-step explanation:
x y value of y/x
-3 -3 1
1 1 1
3 3 1
I need help!!!
Use the rational zero theorem, which of the following could not be a rational zero of: 6x^5+ax^3=bx+12? 1/2 -3/4 -2
Answer: x = -3/4 can not be a rational zero of the polynomial.
Step-by-step explanation:
We have the polynomial:
6x^5 + ax^3 -bx -12 = 0.
The theorem says that:
If P(x) is a polynomial with integer coefficients, and p/q is a zero of P(x) then p is a factor of the constant term (in this case the constant term is -12) and q is a factor of the leading coefficient (in this case the leading coefficient is 6.).
The factors of -12 (different than itself) are (independent of the sign).
1, 2, 3, 4 and 6.
So p can be: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6.
The factors of 6 are:
1, 2 and 3, so q can be 1, -1, 2, -2, 3, -3.
Then the option that can not be a zero of the polynomial is
x = -3/4
because the number in the denominator must be a factor of the leading coefficient, and 4 is not a factor of six.
The solutions to 2x2 + 8x + 4 = 0 are x = -87,32. Choose the simplified form
of these solutions.
Answer: D
Step-by-step explanation:
Answer:
the answer is "C"
Step-by-step explanation:
i just took the test
The upper-left coordinates on a rectangle are (-5, 6), and the upper-right coordinates are (-2, 6). The rectangle has a perimeter of 16 units. Draw the rectangle on the coordinate plane below.
Answer:
Step-by-step explanation:
Given the upper-left coordinates on a rectangle as (-5, 6), and the upper-right coordinates as (-2, 6), the distance between the two coordinates will be equal to the length of one side of the rectangle. Using the formula for calculating the distance between two points as shown;
D = √(x2-x1)²+(y2-y1)²
The the upper left coordinates be A (-5, 6) and the upper right coordinates be B(-2, 6).
AB = √(-2-(-5))²+(6-6)²
AB = √(-2+5)²
AB = √3²
AB = 3 units = Breadth of the rectangle
Give the perimeter of the rectangle to be 16 units, we can get the length of the rectangle using the formula;
Perimeter of a rectangle = 2(L+B)
16 = 2(3+L)
16 = 6+2L
10 = 2L
L = 5units
The length of the triangle is 5units
Find the diagram of the rectangle on the coordinate plane in the attachment below.
does the equation y = 4(5.6)^x represent exponential decay or exponential growth?
Answer:
growth
Step-by-step explanation:
Exponential equations are in the form
y = a * b^x
a is the initial value
b is the growth or decay
b>1 is growth b-1 rate of growth
b <1 decay 1-b rate of decay
y = 4(5.6)^x
5.6 is greater than 1 so it is growth
Water flows through a pipe at a rate of 10 fluid ounces per day. Express this rate of flow in pints per month.
Answer: 18.75 pints per month
Step-by-step explanation:
Help me !!! please 50 points!!
A system of equations is shown below: 1. Equation A: 4c = d − 8 Equation B: c = 5d + 8 Which of the following steps should be performed to eliminate variable d first? (5 points)
Multiply equation B by 4. Multiply equation A by −5. Multiply equation A by 4. Multiply equation B by 5. 2 . A system of equations is shown below: n = 3m + 7 n − 2m = 1 What is the solution, in the form (m, n), to the system of equations? (5 points)
(3, 7) (1, 8) (−3, −2) (−6, −11) 3. A system of two equations is shown below: Equation C: a = 3b + 6 Equation D: a = 7b − 1 What value of a can be substituted into equation D to solve the system of equations? (5 points)
Answer:
the first step to eliminate d is to multiply equation B by 5
second :(m,n) (-6,-11)
value of a can be substituted into equation D to solve the system of equations is 7b-1
Step-by-step explanation:
first equation:
4c=d-8 or 4c-d=-8
c=5d+8 or c-5d=8
so the first step to eliminate d is to multiply equation B by 5
second equation :
n=3m+7 or n-3m=7
n-2m=1
n-3m=7
solve :
1-eliminate n by subtracting two equation : : n-2m-(n-3m)=1-7
-2m+3m=-6
m=-6
substitute m: n-3(-6)=7 , then n+18=7
n=7-18=-11
third :
a=3b+6 or a-3b=6
a=7b-1
find a
a-3b=6
value of a can be substituted into equation D to solve the system of equations is 7b-1
You are getting on an elevator that is already filled with several people. You wonder if your weight will put the elevator over the maximum weight limit. You know that your weight is 132 pounds. In the equation below, p is the weight of all the people already on the elevator, and t is the total weight inside the elevator after you get on. The relationship between these two variables can be expressed by the following equation: t=p+132. What is the dependent variable?
A.The total weight inside the elevator after you get on.
B.The weight of all the people already on the elevator.
Answer:
A
Step-by-step explanation:
T is the dependent variable
a dependent variable means it depends on something so if a number changes it will change the end result for T.
T is dependent on P since if the weight on the elevator changes the total weight will change. That is what makes it dependent.
Answer:
They are both dependent variables.
Step-by-step explanation:
I did this on Khan Academy and it worked.
This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so that it is circumscribed about the candy bar. If segment AD = 4 cm, what is the smallest diameter of wrapper that will fit the candy bar? Triangle ABC in which point E is between points A and B, point D is between points A and C, point F is between points B and C, segments AE and EB are congruent, segments BF and FC are congruent, and angles AED, ABF, and DFC are right angles.
Answer:
8 cm
Step-by-step explanation:
When a right triangle is circumscribed in a circle, the diameter is the hypotenuse AC.
Therefore, the smallest diameter of the wrapper will be that of the circle whose diameter has endpoints of A and C.
From the diagram:
AE=DFED=FCTherefore, Triangle AED is congruent to Triangle DFC and in fact AD=DC.
Given: AD =4 cm
Therefore, the smallest diameter
AC=AD+DC
=4+4
=8 cm
Please answer this question now in two minutes
Answer:
Step-by-step explanation:
m=[tex](5,\frac{25}{4} )[/tex]
midpoint line between A and B
The midpoint is halfway between the two end points:
Its x value is halfway between the two x values
Its y value is halfway between the two y values
PLEASE HELP ASAP WITH MATH
Answer:
t =5
g = 15
Step-by-step explanation:
t = tennis balls
g = golf balls
70 = 5t+3g
85 = 2t+5g
Multiply the first equation by -2
-2(70 = 5t+3g)
-140 = -10t -6g
Multiply the second equation by 5
5(85 = 2t+5g)
425 = 10t + 25g
Add these new equation together to eliminate t
-140 = -10t -6g
425 = 10t + 25g
-------------------------------
285=0t+19g
Divide by 19
285/19 = g
15 = g
Now find t
85 = 2t+5g
85 = 2t +5(15)
85 = 2t + 75
10= 2t
t =5
Let the cost of a can of tennis balls be $x and that of a sleeve of golf balls be $y.
5x + 3y = 70
2x + 5y = 85
(5x + 3y) x 2 = 70 x 2
10x + 6y = 140
(2x + 5y) x 5 = 85 x 5
10x + 25y = 425
10x + 25y -10x - 6y = 425 - 140
19y = 285
y = 15
2x + 5y = 85
2x + 75 = 85
2x = 10
x = 5
Therefore the cost of a sleeve of golf balls is $15 and that of a can of tennis balls is $5.
John is standing at the point (-4,-8) and his friend Victor is standing at the point (-4,12). Find the distance between them. A. 20 units
B. -20 units
C. 28 units
D. -28 units
Answer:
20 unitssolution,
Let the points be A and B
A(-4,-8)--->(X1,y1)
B(-4,12)---->(x2,y2)
Now,
[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: = \sqrt{ {( - 4 - ( - 4)}^{2} + 12 - ( - 8) ^{2} } \\ \: \: \: \: = \sqrt{ {( - 4 + 4)}^{2} + {(12 + 8)}^{2} } \\ = \: \: \: \: \sqrt{ {(0)}^{2} + {(20)}^{2} } \\ \: \: \: \: = \sqrt{0 + 400} \\ \: \: \: = \sqrt{400} \\ \: \: = \sqrt{ {(20)}^{2} } \\ \: \: = 20 \: units[/tex]
Hope this helps..
Good luck on your assignment...
PLZ HELP 10POINTS EASY HELP!!!!!!!!!!
Answer:
2nd no is corret
Step-by-step explanation:
as altitude is defined as a st. line meeting its base forming 90degree angle.
Answer:
I think the second answer, JH is an altitude of GJI, is the correct answer.
Step-by-step explanation:
Having JH be an altitude of GJI means that it makes a 90 degree angle. And to prove that it's a 90 degree angle we look at where it has the little squares. The squares represent 90 degrees.
Hope this helps!
A pack of cards is numbered 1 to 24. A card is chosen at random. Find the probability that the number on the card is divisible by 2 or 3
Answer:
Step-by-step explanation:
It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.
Our answer is P= 16/24=2/3=66,66%
Diana serves 8 kg of fried rice for 12 persons. How many persons can eat 20 kg of
fried rice?
Answer:
30 persons
Step-by-step explanation:
Let's create a proportion using the following setup:
persons/rice=persons/rice
We know that 12 persons can eat 8 kilograms of fried rice.
12 persons/ 8 kg of rice= persons/rice
We also know that x (unknown) persons can eat 20 kilograms of fried rice.
12 persons/ 8 kg of rice= x persons/ 20 kg of rice
12/8=x/20
x is being divided by 20. The inverse of division is multiplication. Multiply both sides of the equation by 20.
20(12/8)=(x/20)20
20*12/8=x
20*1.5=x
30=x
30 persons can eat 20 kilograms of fried rice.
Answer:
30 people
Step-by-step explanation:
1) Set up a proportion, 8kg/12 = 20kg/x
2) Do cross multiplication to solve for x
3) x = 30 people
Find the geometric mean of 4 and 18.
Answer:
6√2
Step-by-step explanation:
Gm = √a×b
= √4×18
= √72
= √36×2
= √6²×2
= 6√2
WILL GIVE BRAINLIEST. PLEASE HELP. In order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle. True or false?
Answer:
True
Step-by-step explanation:
In order to inscribe a circle in a triangle, the circle's center must be placed at the in center of the triangle, is true. the in center also is a point where the bisectors of the angles meet.
Abigail wants to make a tapestry in the shape of a parallelogram that is 24 inches across the bottom and 36 inches tall. If she pieces smaller similar parallelograms that are 2 inches at the base and 3 inches tall, how many will she need to make the tapestry?
Answer:
144
Step-by-step explanation:
Abigail wants to produce a tapestry that will be in the shape of a parallelogram
The tapestry is 24 inches across the bottom and 36 inches tall
She pieces smaller simlar parallelograms that are 2 inches wide and 3 inches tall
The first step is to find the area of the whole tapestry
Area = base × height
Base= 24 inches
Height= 36 inches
Area= 24×36
= 864 square inches
The next step is calculate the area of the smaller pieces
Area= base × height
Base= 2 inches
Height= 3 inches
Area= 2×3
= 6 square inches
Therefore, the value needed to produce the tapestry can be calculated by dividing the area of the whole tapestry by the area of the smaller pieces
= 864/6
= 144
Hence Abigail will need 144 smaller similar parallelograms to make the tapestry.
Answer:
144
Step-by-step explanation:
Find the median of the distribution
Frequences
Mark
0,1,2,3,4,5
Answer:
2.5
Step-by-step explanation:
The median is the middle value of the data set. If there is no exact middle value then it is the average of the 2 values either side of the middle.
0 , 1 , 2 , 3 , 4 , 5
↑ middle of data
Thus median = [tex]\frac{2+3}{2}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5