Answer:
12-157.5 13-6ft
Step-by-step explanation:
the first one just look up 65% of 450 and minus the number you get by 450
the second one do the butterfly method
\(\frac{5}{12} \frac{x}{14.4} \\\)
the heights on top and shadows on bottom
12x=72
x=6
What does the attendance need to be on Saturday to have an average attendance for the week of 30 people per day ?
Answer: 180
Step-by-step explanation: 30 x 6= 180
Marques bought a pair of shoes online for $61. He used a coupon code to get a 20%
discount. The website also applied a 20% processing fee to the price after the
discount. How much was the discount, in dollars and cents?
Answer:
$9.76
Step-by-step explanation:
After the processing fee that was after the coupon, the total discount was 9.76.
Xavier needs to bike a minimum of 80 miles this week for his training if he is already biked 14 miles this week and how many miles should he bike on each of the six remaining days this week?
Answer:
80miles=6days
14
14 ×6=84
84÷80=1.05
1.05 miles
This is for Algebra 2 I’m stuck I don’t know if I’m right please help
Answer:
y=a|x-h|+k (absolute value function)
a= 3/5 (a easier way to know is it is somehow basically the slope of the line but it must be positive.)
h= -3 (you are correct)
k= -1 (you are correct)
Need the answer for the function as stated in the photo
The average rate of change of \(f\) over an interval \([a,b]\) is the difference quotient
\(\dfrac{f(b) - f(a)}{b - a}\)
Over the interval \(3\le x\le5\), we have
\(\dfrac{f(5) - f(3)}{5 - 3} = \dfrac{27 - 3}{5 - 3} = \dfrac{24}2 = \boxed{12}\)
The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. What is the population this year?
Answer:
This population, the population is 45 fish.
Step-by-step explanation:
This problem can be solved by a rule of three.
Last year there were 60 fish in the lake. That was 100, that is, decimal 1.
This year it decreased 25%. So there 100%-25% = 75%, that is decimal 0.75. So
60 fish - 1
x fish - 0.75
x= 60*0.75
x=45
This population, the population is 45 fish. Please make the brainliest.
60-25% of 60 =number of fish this year
60-25/100 x 60
60-15
45 fish are present in the lake
What type of polynomial is: 2x - 4x^3 - 7 + 6x^2
A. quadratic
B. linear
C. quartic
D. cubic
Answer:
Option D
Step-by-step explanation:
Given polynomial :-
=> 2x - 4x³ -7 + 6x²
Here the highest degree of variable is 3 ,
Therefore it is a cubic polynomial .
Solve. HELP ASAP. IN A HURRY.
Which of the x-values satisfy the following inequality? 7x<21
Answer:
x < 3
Any x less than 3
Step-by-step explanation:
7x < 21
Divide both sidesby 7
x < 3
Any x less than 3
Answer:
Answers (A) and (B)
Step-by-step explanation:
cant explain currently tell me if you would like me to explain
Which pair (x,y) represents hours that Leah could work to meet the given conditions?
Answer:
You should try it it is sooo easy
Step-by-step explanation:
Determine the probability of precipitation (PoP) using the formula below and the following
PoP = (C * A) * 100 percent
Where C is the confidence that precipitation will occurs somewhere in the forecasted area, and A equals the percentage of the area that will receive measured precipitation if it occurs.
a. A forecaster expresses confidence that there is an 80 percent chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 90 percent of the area.
b. A forecaster expresses confidence that there is a 20 percent chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 10 percent of the area.
The correct answer is a) the probability of precipitation is 72%. and b) the probability of precipitation is 2%.
The given formula to determine the probability of precipitation (PoP) is PoP = (C * A) * 100 percent where C represents the confidence that precipitation will occur somewhere in the forecasted area and A represents the percentage of the area that will receive measured precipitation if it occurs.
(a) If a forecaster expresses confidence that there is an 80% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 90% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 80%A = 90%PoP = (80% * 90%) * 100%
PoP = 72%.
Therefore, the probability of precipitation is 72%.
(b) If a forecaster expresses confidence that there is a 20% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 10% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 20%A = 10%PoP = (20% * 10%) * 100%PoP = 2%
Therefore, the probability of precipitation is 2%.
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Solve for x. Evaluate and round your answer to 1 decimal place (tenths place). 10x=3588
Answer:
x =3.6Step-by-step explanation:
\(10^x=3588\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(10^x\right)=\ln \left(3588\right)\\x\ln \left(10\right)=\ln \left(3588\right)\\\mathrm{Solve\:}\:x\ln \left(10\right)=\ln \left(3588\right):\quad x=\frac{\ln \left(3588\right)}{\ln \left(10\right)}\\\\= 3.55485\\=3.6\)
13 trig review please help me
Answer:
c
Step-by-step explanation:
all the other ones are
to big
Solve for x please help me
Answer:
x=1
Step-by-step explanation:
since the other side is 12 and both sides are even, the right side would be 12 as well
13(1)-1=12
Answer:
x=1
Step-by-step explanation:
I'm not completely sure I'm correct but if 12 and 13x-1 are equal, then try different numbers for x until you find the number that makes 13x-1 equal 12. For example: If x=0, 13(0)-1 equals -1.
if x=1, 13(1)-1 equals 12.
Therefore, x is 1.
Katie approximated the volume and the surface area for a ball she was using for some exercises by assuming the ball is a sphere. She was surprised when the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. What is the radius of the ball?
Answer:
3
Step-by-step explanation:
Volume of sphere:
4/3 * pi * r^3
Surface Area of Sphere:
4 * pi * r^2
So if V = SA
4/3 * pi * r^3 = 4 * pi * r^2
4/3 * pi * r^3 = 4 * pi * r^2
1/3 * r^3 = r^2
1/3 * r = 1
r = 3
Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere is given by the formula,
V = (4/3)πR³
The surface area of the sphere is given by the formula,
Surface area = 4πR²
Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,
(4/3)πR³ = 4πR²
R³/3 = R²
R = 3
Hence, the radius of the ball is equal to 3 units.
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A homeowner bought a dryer from a discount appliance store for $698.27 and makes 12 monthly payments of $63.29 with a credit card. The store charges $1.25 for every purchase made with a credit card. The homeowner also had to pay late fees in the amount of $35 four different times. What is the total cost of the dryer?
$713.27
$809.48
$900.73
$914.48
If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.
To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.
The total cost of the dryer can be calculated as follows:
Cost of dryer = $698.27
Total credit card charges = 12 x $1.25 = $15
Total late fees = 4 x $35 = $140
Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees
= $698.27 + $15 + $140
= $809.27
Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.
So, correct option is A.
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Solve the math problem
Answer:
2) a. slope = 4/3
2) b. slope = -4
Step-by-step explanation:
The slope of the line that passes through points
\( (x_1, y_1) \) and \( (x_2, y_2) \)
is m, given by the slope formula below:
\( m = \dfrac{y_1 - y_2}{x_2 - x_1} \)
2) a. (30, 32) and (18, 16)
\( m = \dfrac{y_1 - y_2}{x_2 - x_1} \)
\( m = \dfrac{32 - 16}{30 - 18} \)
\( m = \dfrac{16}{12} \)
\( m = \dfrac{4}{3} \)
2) b. (4, -26) and (10, -50)
\( m = \dfrac{y_1 - y_2}{x_2 - x_1} \)
\( m = \dfrac{-50 - (-26)}{10 - 4} \)
\( m = \dfrac{-24}{6} \)
\( m = -4 \)
The base of a triangular pyramid is an equilateral triangle. Each side of the base measures 12 in. The area of the base is 62.4 in². The slant height of the pyramid is 6 in.
What is the surface area of the pyramid?
Enter your answer in the box.
The surface area of the pyramid is given by the equation A = 170.4 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the pyramid be represented as A
Now , the equation will be
The slant height of the pyramid h = 6 inches
The side of the equilateral triangle = 12 inches
So , the perimeter of the triangle = 3 x side length
Substituting the values in the equation , we get
The perimeter of the triangle = 36 inches
The area of the base = 62.4 inches²
So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Substituting the values in the equation , we get
Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )
On simplifying the equation , we get
Surface Area of Pyramid = 62.4 + ( 108 )
Surface Area of Pyramid = 170.4 inches²
Hence , the surface area of pyramid is 170.4 inches²
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The sum of 6 times a number 3 and 9
is .
Step-by-step explanation:
28 is the answer because you multiply 6×3 and it is equal to 18 and add 8 is equal to 28
Suppose a department contains 10 men and 15 women. a) How many ways are there to form a committee of 6 people from the department? Explain your answer. b) How many ways are there to form a committee of 6 people from the department, if the number of men in the committee is equal to the number of females in the committee? Explain your answer. c) How many ways are there to form a committee of 6 people from the department, if the number of men in the committee is less than the number of females in the committee? Explain your answer.
a) The number of ways to form a committee of 6 people from the department is 177,100.
b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.
c) The number of ways to form a committee of 6 people with more women than men is 91,455.
a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.
The number of ways to choose 6 people from a group of 25 is given by the combination formula:
C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100
Therefore, there are 177,100 ways to form a committee of 6 people from the department.
b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.
The number of ways to choose 3 men from 10 is given by the combination formula:
C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120
Similarly, the number of ways to choose 3 women from 15 is:
C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455
To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:
Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600
Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.
c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.
For 1 man and 5 women:
Number of ways to choose 1 man from 10: C(10, 1) = 10
Number of ways to choose 5 women from 15: C(15, 5) = 3,003
For 2 men and 4 women:
Number of ways to choose 2 men from 10: C(10, 2) = 45
Number of ways to choose 4 women from 15: C(15, 4) = 1,365
The total number of ways to form a committee with more women than men is the sum of these two cases:
Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)
= 10 * 3,003 + 45 * 1,365
= 30,030 + 61,425
= 91,455
Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.
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(x + 26)
(3x)
X=
Helpppp
Answer:
x = 13
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesGeometry
Vertical AnglesStep-by-step explanation:
Step 1: Set up equation
3x = x + 26
Step 2: Solve for x
Subtract x on both sides: 2x = 26Divide 2 on both sides: x = 13Triangle TUV, with vertices T(2,-7), U(9,-5), and V(4,-2), is drawn on the coordinate grid below.
The area of the triangle is 15.5 square units
How to calculate the area of the triangle in square units?From the question, we have the following parameters that can be used in our computation:
T(2,-7), U(9,-5), and V(4,-2)
The area of the triangle in square units is calculated as
Area = 1/2 * |x₁y₂ - x₂y₁ + x₂y₃ - x₃y₂ + x₃y₁ - x₁y₃|
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * |2 * -5 - 9 * -7 + 9 * -2 - -5 * 4 + 4 * -7 - -2 * 2|
Evaluate the sum and the difference of products
Area = 1/2 * 31
So, we have
Area = 15.5
Hence, the area of the triangle is 15.5 square units
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write as a power of a prime
a) 64
b) 169
c) 625
Answer:
64:2⁶
169:13²
625:5⁴..................
A figure is a regular n-gon. Which of the following
expressions represents the sum of the measures of
the exterior angles of the polygon, one at each
vertex?
A. (180 - 10°
360
B. 180
12
C. (n - 2)180°
D. 360°
Answer:
The correct answer is D. 360°
Step-by-step explanation:
The sum of all the exterior angles of a regular n-gon or a polygon is always equal to 360°.
Let us consider the image attached.
First of all let us consider the triangle.
As per the property of exterior angles: The exterior angle is equal to the sum of 2 opposite interior angles.
\(\Rightarrow \angle 1=\angle B + \angle C\\\Rightarrow \angle 2=\angle A + \angle C\\\Rightarrow \angle 3=\angle A + \angle B\)
Where \(\angle A, \angle B\ and\ \angle C\) are the interior angles of the triangle.
Adding the above equations:
\(\angle 1 +\angle 2 +\angle 3 = 2 \times (\angle A +\angle B +\angle C )\)
The sum of interior angles of a triangle is always equal to 180°
\(\angle A +\angle B +\angle C = 180^\circ\)
\(\angle 1 +\angle 2 +\angle 3 = 2 \times 180^\circ\\\Rightarrow \angle 1 +\angle 2 +\angle 3 = 360^\circ\)
Hence, proved that the sum of exterior angles is \(360^\circ\).
So, the correct answer is D. \(360^\circ\)
could someone please help with these two questions (I WILL MARK BRAINLAST)
question 1: which of these points lies on the line y = -x + 2
question 2: evaluate: -ab-a if a=-4 and b =-5
Answer:
1. b
2. -16
Step-by-step explanation:
1. -1+2 is equal to 1 so it works
You plug in each of the coordinates x and y variables on the graph and find one that satisfies the equation.
2. -(-4)(-5) is -20
-(-4) is = 4
-20+4 is -16
If the parents of a family already have two boys, what is the probability that the next two offspring will both be girls?
The probability that the next two offspring will both be girls is 1/3.
To find P both children are girls
A: Event that both children are girls
A: {MM} and B: {MF, FM, MM} →→ P (A ∩∩ B) = {MM}
Probability that both are males, if we know one is a female =P(A/B)=P(A∩B)/P(B)
(P(A∩B)P(B))
Given S = {MM, MF, FM, FF}, we can see that: P (A) = 1414; P (B) = 3434; P (A ∩∩ B) = 1414
Therefore,
P(B/A)=P(A∩B)/P(A) = (1/4)/(3/4)=1/3.
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1(2)(3)(4)
Please answer this in PEMDAS And correctly please! :)
Answer:
Step-by-step explanation:
24
Answer:
24
Step-by-step explanation:
1 x 2 x 3 x 4 = 2 x 3 x 4
= 6 x 4
= 24
Work out the volume of this triangular prism. 3 cm 5 cm 4 cm 6 cm
The volume of the triangular prism is 60 cm³
What is a solid figure?A solid figure is a three dimensional shape that has length, width and height. Example of solid figures are cube, pyramid, prism, sphere and so on.
The volume of a triangular prism is given as:
Volume = area of base * height
The area of the prism base = (1/2) * base * height = 1/2 * 5 * 8 = 20 cm²
Volume = area of base * height = 20 cm² * 3 cm = 60 cm³
The volume is 60 cm³
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A square has an area of 30.25 square inches. What is the length of its sides?
0 915.06 inches
15.125 inches
O 5.5 inches
O 3.12 inches
y is directly proportional to x. When x = 4, y= 12.(a) Find the equation of y in term of x. (b) Find the value of y when x=7
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 4 , y = 12 , then
12 = 4k ( divide both sides by 4 )
3 = k
y = 3x ← equation of proportion
(b)
When x = 7 , then
y = 3 × 7 = 21
Answer:
a) y = 3x
b) y = 21
Step-by-step explanation:
a) y = kx
When x = 4, y = 12,
12 = k*4
k = 12/4
= 3
y = 3x
b) When x=7,
y = 3(7)
= 21
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