The number 31 was increased to 44 by approximately 41.9%.
To calculate the percentage increase, you can use the formula:
[tex]\[ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100 \][/tex]
In this case, the original value is 31, and the new value is 44. Plug these values into the formula:
[tex]\[ \text{Percentage Increase} = \left( \frac{44 - 31}{31} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage Increase} = \left( \frac{13}{31} \right) \times 100 \][/tex]
Now, calculate the percentage increase:
[tex]\[ \text{Percentage Increase} \approx 41.9\% \][/tex]
So, the number 31 was increased to 44 by approximately 41.9%.
The number 31 was increased by approximately [tex]\( \boed{41.9\%} \)[/tex] to become 44.
Step 1
To find the percentage increase from 31 to 44, we can use the formula for percentage increase:
[tex]\[ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100\% \][/tex]
Step 2
Given:
- Old value (31)
- New value (44)
[tex]\[ \text{Percentage Increase} = \left( \frac{44 - 31}{31} \right) \times 100\% \]\[ \text{Percentage Increase} = \left( \frac{13}{31} \right) \times 100\% \]\[ \text{Percentage Increase} \approx 0.419 \times 100\% \]\[ \text{Percentage Increase} \approx 41.9\% \][/tex]
So, the number 31 was increased by approximately [tex]\( \boed{41.9\%} \)[/tex] to become 44.
Sheila either walks or cycles to school The probability that she walks to school is 0.65 If she walks, the probability that she is late is 0.4 If she cycles, the probability that she is late is 0.1 What is the probably that on any one day Sheila is not late for school.
Answer:
Probability that she walks or cycle to school on any day and not be late is 0.705
Step-by-step explanation:
Part A
P(she walks to school) = 0.65
P(she will be late) = 0.4
P(she will not be late) = 1 - P(she will be late) = 1 - 0.4 = 0.6
Part B
P(she cycle to school) = 1 - P(she walks to school) = 1 - 0.65 = 0.35
P(she will be late) = 0.1
P(she will not be late) = 1 - P(she will be late) = 1 - 0.1 = 0.9
Thus, probability that she walks or cycle to school and not be late =
P(walks: not late) + P(cycle: not late)
= (0.65 x 0.6) + (0.35 x 0.9)
= 0.39 + 0.315
= 0.705
Therefore, probability that she walks or cycle to school on any day and not be late is 0.705
Given that f (x) = 22 + 16x + 63 and g(x) = x + 9, find f(x) + g(x) and
express the result in standard form.
Answer:
17x + 94
Step-by-step explanation:
Step 1 : Add 16x and x = 17x
Step 2: Add 22 + 63 + 9 = 94
Because the highest exponent of x goes first
And there's only one x
Then simply add the constant (any number with no x)
17x +94
If f(x)= 3x-9, fine each function value.
F(12)
Answer:
27
Step-by-step explanation:
Plug in 12 every time you see "x". When you do this it should be f(12) = 3(12) - 9 = 36 - 9 = 27.
Hope this helped :)
The function value f(12) for f(x) = 3x - 9 is calculated by substituting x with 12, resulting in f(12) = 3(12) - 9, which simplifies to f(12) = 27.
Explanation:To find the value of f(12) for the given function f(x) = 3x - 9, you simply substitute the value of 12 for x and then perform the calculation:
f(12) = 3(12) - 9
f(12) = 36 - 9
f(12) = 27
Therefore, the function value of f(12) is 27. When plotting or using a graph, this is the y-coordinate when x is 12 for the equation y = 9 + 3x, which has a slope ('m') of 3 and a y-intercept ('b') of 9.
Answer the question
Answer:
Step-by-step explanation:
(-v² - 3v -8)(3v² + 6v + 3) = -v²*(3v² + 6v + 3) -3v*(3v² + 6v + 3) -8*(3v² + 6v + 3)
= -3v⁴ - 6v³ - 3v² -9v³ - 18v² - 9v - 24v² - 48v - 24
{bring the like terms together}
= -3v⁴ - 6v³ - 9v³ -3v² -18v² -24v² - 9v - 48v - 24
= -3v⁴ - 15v³ - 45v² - 57v - 24
HINT:
-v²*(3v² + 6v + 3) = -v²*3v² + (-v²)*6v + (-v²)*3
= -3v²⁺² - 6v²⁺¹ - 3v²
-3v*(3v² + 6v + 3) = -3v*3v² + 6v*(-3v) + 3*(-3v)
= -9v¹⁺² - 18v¹⁺¹ - 9v
= -3v³ - 18v² - 9v
= -3v⁴ - 6v³ - 3v²
A book has 180 pages. Hailey read 12 pages each day. After a certain number of days, there are 60 pages left. Which equation, when solved for x, gives the number of days Hailey read?
Answer:
180 − 12x = 60
Step-by-step explanation:
The sum of the interior angles of a triangle add up to be
degrees?
This question is a little confusing but i will try my best to answer it pls mark me a brainliset if its helpful in anyway.
the 3 sides of the triangles add up 180 degrees
Answer:
Step-by-step explanation:
Its 180 degrees in total if it is an equilateral triangle each corner is 60 degrees, but still add up to 180. All triangles add up to 180 degrees.
A day of the week is randomly chosen What is the probability of choosing Monday or a day that starts with the letter
S?
HELP ASAP!!!!!!!!!!!
Describe the solution of h(x) shown in the graph below.
All solutions that lie on h(x)
All real solutions
All whole number solutions
All positive solutions
Solutions that lie on the line are -1 and 2.
When y is -2, x is either 0 or 1.
When y is 4, x is either -2 or 3.
The line never goes below -2
The correct answer is OPTION (A) All solutions that lie on h(x)
Why all solution that lie on h(x)?The solutions that lie on h(x) are real solutions , whole number solutions , positive solutions and negative solution .
According to the graph ,
When y is -2, x is either 0 or 1.When y is 4, x is either -2 or 3.The line never goes below -2Therefore , all solutions lies on h(x)
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A set of 3 consecutive integers adds up to 42. What are the integers?
Answer:
Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.
Step-by-step explanation:
Find the volume of the cone.
Either enter an exact answer in terms of 1 or use 3.14
Answer:
78.54
Step-by-step explanation:
V=[tex]\pi \\[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]
V= 3.14 [tex](5)^{2}[/tex] [tex]\frac{3}{3\\}[/tex]
V= 3.14 (25) (1)
V= 78.5
The volume of a cone can be calculated using the formula V = 1/3 * π * r2 * h, where r is the radius and h is the height.
Explanation:To find the volume of a cone, you can use the formula V = 1/3 × π × r² × h, where r is the radius of the base and h is the height of the cone.
For example, if the radius is 4 cm and the height is 10 cm, we can substitute these values into the formula:
V = 1/3 × 3.14 × 42 × 10 = 1/3 × 3.14 × 16 × 10 = 167.47 cm³.
So, the volume of the cone is approximately 167.47 cm³.
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what vaule of b makes y=2x+b the same as y=2x?
Answer:
Step-by-step explanation:
hello :
y=2x+b the same as y=2x
y=2x means : y=2x+0 so : b=0
Find the value and expression for 0
Sin(0) = cos(28)
Answer:
The value of 0 is 62
The expression of 0 is 0 = arcsin (cos (28))
Step-by-step explanation:
Sin(0) = cos(28)
The value of 0 is 90 - 28 = 62 degrees.
The expression of 0 is derived from algebraically solving for 0
0 = arcsin (cos (28))
______ % of 803 is 1
Answer:
0,125%
Step-by-step explanation:
100% - 803
x% - 1
1x100/803
Answer:
80300
Step-by-step explanation:
The midpoint of AB is M(-5, -2). If the coordinates of A are (-3,4), what are
the coordinates of B?
Answer:
The coordinates of b are (-7, -8)
Step-by-step explanation:
Answer:
(-2,6)
Step-by-step explanation:
10. Explain why log328 is between 3 and 4.
Answer:
See explanation.
(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)
Step-by-step explanation:
I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.
3^0=1
3^1=3
3^2=9
3^3=27
3^4=81
3^5=243
......
I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.
log_3(28) means the value x such that 3^x=28.
Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.
4/5 - 3/10 enter a zero or leave the whole number box blank to enter a fraction
Answer:
1/2
Step-by-step explanation:
4/5 - 3/10
Lcm would be 10
[(4×2) - 3]/10
(8 - 3)/10
5/10
1/2
Solve for x :
6x=36
Answer:
6
Step-by-step explanation:
6 multiplied by 6 is 36.
Answer:
6
Step-by-step explanation:
When you are solving for a certain variable, you want to simplify the equation down until you can't anymore. This equation is very simple. You just have to divide both sides by 6. This is because we want to get the variable (x) alone.
6x=36
Divide both sides by 6
x=6
hope that helped.
mr webb gave his waiter a $5.60 tip on a $40 bill. what percent tip did he give the waiter?
Answer:
14%
Step-by-step explanation:
5.60 / 40 = 0.14
0.14 x 100 = 14
Mr. Webb left a 14% tip.
Answer:
14%.
Step-by-step explanation:
You just divide (5.6/40)*(100)=the answer. If you do the math correctly(the * means multiplication) you will end up with 14%
A trapezoid has two bases that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid?A trapezoid has two bases that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid?
Answer:
47.5
Step-by-step explanation:
Add the bases. 8+11=19
Multiply 19 by 5 then divide to get 47.5
Answer:
[tex]47.5 {cm}^{2} [/tex]
Step-by-step explanation:
[tex] area = \frac{a + b}{2} h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{11 + 8}{2} \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 47.5 {cm}^{2} [/tex]
What is the volume of a hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot
Answer:
134.0
Step-by-step explanation:
Final answer:
The volume of the hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot, is approximately 134.0 cubic feet.
Explanation:
To find the volume of a hemisphere, we can use the formula:
Volume = (2/3) * π * (radius)^3
Given that the diameter of the hemisphere is 8ft, we can calculate the radius by dividing the diameter by 2:
Radius = 8ft / 2 = 4ft
Substituting the value of the radius into the formula, we get:
Volume = (2/3) * π * (4ft)^3
Volume ≈ 134.04 ft³ (rounded to the nearest tenth)
On a scale drawing of a fence, 3.75 inches represent 24 feet. What is the actual length of a second fence that is 2.8 inches in the drawing?
The actual length of the fence is 215 inches
Step-by-step explanation:
Length of fence in drawing = 3.75 inches
Actual length of the fence = 24 ft
= 288 inches
Scale factor = 288/3.75
= 76.8
Length of fence in drawing = 2.8 inches
Actual length = 2.8 x 76.8
= 215 inches
The actual length of the fence is 215 inches
Answer:
215 in
Step-by-step explanation:
215 in
What is the solution to 2x2+8x=x2-16?
O x=4
O x=-2
O x=2
O x=4
Answer:
x=-4
Step-by-step explanation:
A on edg
The solution to the quadratic equation is x = -4
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
2x² + 8x = x² - 16
Subtracting x² on both sides , we get
x² + 8x = -16
Adding 16 on both sides , we get
x² + 8x + 16 = 0
On simplifying the equation , we get
( x + 4 )² = 0
Taking square roots on both sides , we get
x + 4 = 0
Subtracting 4 on both sides , we get
x = -4
Therefore , the value of x is -4
Hence , the solution is x = -4
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Simplify the expression.
9(-10-4v)+9v
Answer: -90-27v
Step-by-step explanation:
N A
Answer:
-90-27v
Step-by-step explanation:
9(-10-4v)+9v
-90 - 36v + 9v
-90 - 27v
What is the area of the composite figure?
A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.
a.
70 square centimeters
b.
100 square centimeters
Selected:c.
105 square centimeters
This answer is incorrect.
d.
130 square centimeters
Answer:
a. 70 square centimeters
Step-by-step explanation:
The area of the composite figure = Area of trapezoid + Area of rectangle
Area of trapezoid = [tex]\frac{1}{2}[/tex] (a + b) h
= [tex]\frac{1}{2}[/tex] (12 + 13) × 5
= [tex]\frac{1}{2}[/tex] ×125
= 62.5
Area of trapezoid is 62.5[tex]cm^{2}[/tex]
Area of rectangle = length ×breadth
= 5 × 2
= 10 [tex]cm^{2}[/tex]
Area of rectangle is 10[tex]cm^{2}[/tex]
The area of the composite figure = 62.5 + 10
= 72.5[tex]cm^{2}[/tex]
To 1 significant figure, the area of the composite is 70[tex]cm^{2}[/tex].
Answer:
Step-by-step explanation:
it's really b. Just did the test and put 70 and got it wrong.
Evaluate the expression
Answer:
3
Step-by-step explanation:
3x3=9
Can someone help me with this question please I really need help.
Answer:
Step-by-step explanation:
raise your hand
Answer:
9. I believe is J
10. G just remember the per, the each, and every always represents x
11. x = -3
12. b = 20
Here's a hint for 11 and 12 always combine like terms
Hope this help message me if needed
The measure of angle RTP is 50 degrees. Find the measure of angle TPS.
140
65
40
Answer:
40Step-by-step explanation:
90 degree angle
90 - 50 = 40
In ΔOPQ, the measure of ∠Q=90°, QO = 61 feet, and OP = 83 feet. Find the measure of ∠O .
Answer:
∠O ≈ 43°
Step-by-step explanation:
Draw a diagram to help you visualize (see photo below).
Since ∠Q is a right angle and ΔOPQ is a triangle, we can use the trigonometric ratios (SohCahToa).
To find ∠O (which is represented by θ in the diagram), use the given sides:
QO = 61 feet
OP = 83 feet
OP is the hypotenuse since it's the longest side.
If ∠O = θ (angle of reference), then side QO is adjacent.
The trig. ratio that uses adjacent and hypotenuse is:
cosθ = adjacent / hypotenuse
Substitute the variables for this question
cosO = QO / OP
Substitute the known values
cosO = 61 feet / 83 feet Isolate "O"
∠O = cos⁻¹(61/83) Input into calculator
∠O ≈ 42.69787...° Exact answer
∠O ≈ 43° Round to the nearest whole degree
Therefore, the measure of ∠O is 43°.
Please comment below if you have any questions!
Evelyn needs to buy a season pass to the water park that
costs $320. How much will the season pass to the water
park cost if she uses credit, pays $80 a month, and pays an
extra $6 a month in interest?
Answer:
344
Step-by-step explanation:
80*4=320
6*4=24
320+24=344
What is the risk of going into a group of more than 20 or more people at this time from coronavirus?
Answer:
Even if a person doesn't show symptoms, they can still have it.
Step-by-step explanation:
That's the problem.
Even if you think everyone isn't sick, they very well could be, and because there is no vaccine and it spreads so quickly, there's a chance that all the people in that group could get it.
Answer:
Getting infected
Step-by-step explanation: