You have to find what 0.2 of 132 is
132 x 0.2 = 26.40
The answer [tex]\boxed{\bold{\$26.40}}[/tex]
Consider the quadratic function f(x) = 1/5x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
The three statements that are true about the function and its graph are:
The graph of the function is a parabola.
The graph opens downwards, since the coefficient of x² is positive.
The graph contains the point (0, 12), which can be obtained by substituting x=0 in the function.
To check the other statements:
What is the value of f(–10) = 82?To find f(-10), we substitute x=-10 in the function:
f(-10) = 1/5*(-10)² - 5*(-10) + 12 = 82. So the statement "The value of f(–10) = 82" is true.
To check if the graph contains the point (20,-8), we substitute x=20 in the function:
f(20) = 1/5*(20)² - 5*(20) + 12 = -68. This means the point (20,-8) does not lie on the graph of the function.
To check if the graph contains the point (0,0), we substitute x=0 in the function:
f(0) = 1/5*(0)² - 5*(0) + 12 = 12. This means the point (0,0) does not lie on the graph of the function.
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Karla invests $10,000 into an account with a 2.2% interest that is compounded annually.
How much money will she have in this account if she keeps it for 5 years? Round your answer to the nearest dollar. Do not round at any other point in the solving process; only round your answer.
Karla will have approximately $11,149 in the account after 5 years, rounded to the nearest dollar.
How much money will Karia have in this account if she keeps it for 5 years?The formula accrued amount in a compounded interest is expressed as;
A = P( 1 + r/n )^( n × t )
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given that:
Principal P = $10,000Compounded annually n = 1Time t = 5 yearsInterest rate r = 2.2%Accrued amount A = ?First, convert R as a percent to r as a decimal
r = R/100
r = 2.2/100
r = 0.022
Plug the given values into the above formula and solve for A.
A = P( 1 + r/n )^( n × t )
A = 10,000( 1 + 0.022/1 )^( 1 × 5 )
A = 10,000( 1 + 0.022 )^( 5 )
A = 10,000( 1.022 )^( 5 )
A = $11,149
Therefore, the accrued amount after 5 years is $11,149.
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Answer please and thank you
Answer:
Step-by-step explanation
The answer is 72. 2 x 36 equals 72.
Find the missing measurements in the triangle.
Angles should be to the nearest degree.
Side lengths should be rounded to the nearest tenth.
Answer: angle b= 63
Ac= 23.6
Ab=26.4
Step-by-step explanation:
angle b= 63
Ac= 23.6
Ab=26.4
Angle B is 63 degrees, the length of AC is approximately 22.23 units, and the length of AB is approximately 26.42 units.
What is right angle triangle?
A triangle in which one of its angles measures 90 degrees is called a right-angled triangle .
The side opposite the right angle is called the hypotenuse while the other two sides are called the legs or the adjacent and opposite sides.
According to given figure angle C is a right angle, we know that the sum of angles A and B must be 90 degrees.
So, angle B = 90 - angle A = 90 - 27 = 63 degrees.
To find the length of AC, we can use trigonometry. Since we know the length of the opposite side (BC) and the angle opposite the side we want to find (angle A), we can use the tangent function:
tan A = opposite / adjacent
tan 27 = BC / AC
AC = BC / tan 27
AC = 12 / tan 27
AC ≈ 22.23
Now,
[tex]AB^2 = AC^2 + BC^2 \\ AB^2 = 22.23^2 + 12^2 \\ AB^2 ≈ 697.57 \\ AB ≈ 26.42[/tex]
Therefore, Angle B is 63 degrees, the length of AC is approximately 22.23 units, and the length of AB is approximately 26.42 units.
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Consider the following equation. 5x+3y=8 Step 1 of 2 : Determine the missing coordinate in the ordered pair (3,?) so that it will satisfy the given equation.
Answer: (3, -2.333) or (3, -7/3)
Step-by-step explanation:
We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.
[tex]5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}[/tex]
Answer:
y= -2 1/3
Step-by-step explanation:
Since you have x, you put x into the equation and work through the problem.
5(3)+3y=8
15+3y=8, then subtract 15 from both sides
3y=(-7), then divide both sides by 3
y=(-7)/3 or (-2 1/3)
if tan68° = 1/m, express the following in terms of m:
1. tan22°
A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. Round your answer to four decimal places, if necessary.
The probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is 0.8, or 80% when expressed as a percentage.
HOW TO SOLVE THE PROBABILITY ?To find the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m., we need to calculate the proportion of the total possible time range between 8:00 a.m. and 8:50 a.m. that falls within the specified time interval.
The total time range between 8:00 a.m. and 8:50 a.m. is 50 minutes (8:50 - 8:00 = 50). The time interval between 8:05 a.m. and 8:45 a.m. is 40 minutes (8:45 - 8:05 = 40).
So, the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is:
Probability = (Time interval between 8:05 a.m. and 8:45 a.m.) / (Total time range between 8:00 a.m. and 8:50 a.m.)
Probability = 40 minutes / 50 minutes
Probability = 0.8
Therefore, the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is 0.8, or 80% when expressed as a percentage.
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Express the second quantity as a percentage of the first: (a) 10 kilograms, 105 grams (b) 8 meters, 1 kilometer
(a) As a percentage, 105 grams is 1.04% of 10 kilograms.
(b) As a percentage 1 kilometer is approximately 99.21% of 8 meters.
How to Express a Quantity as a Percentage of another?(a) To express the second quantity, 105 grams, as a percentage of the first quantity, 10 kilograms, we first need to convert both quantities to the same unit.
10 kilograms is equal to 10,000 grams (since 1 kilogram = 1000 grams), so:
10,000 grams + 105 grams = 10,105 grams
105 grams / 10,105 grams * 100% = 1.04%
Therefore, 105 grams is 1.04% of 10 kilograms.
(b) To express the second quantity, 1 kilometer, as a percentage of the first quantity, 8 meters, we first need to convert both quantities to the same unit.
1 kilometer is equal to 1000 meters (since 1 kilometer = 1000 meters), so:
8 meters + 1000 meters = 1008 meters
1000 meters / 1008 meters * 100% = 99.21%
Therefore, 1 kilometer is approximately 99.21% of 8 meters.
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Write the equation of the line that passes through (7,- 4) and (-1, -2) in slope-intercept form.
O y = x-1
O y = -x-1
O y=-x-2
O y=-4x-6
Find the volume of the oblique pyramid below. Show all your work. Please don’t forget to label your answer.
Volume of oblique pyramid is 170ft³.
Define oblique pyramidAn oblique pyramid is a pyramid in which the apex is not directly above or below the center of the base. It is called "oblique" because it has a slant or tilt to its shape, as opposed to a "right" pyramid where the apex is directly above the center of the base. Oblique pyramids can have different shapes for their bases, such as a square, rectangle, triangle, or any other polygon.
Given
Base area=1/2× 12× 5
height of pyramid=17ft
Volume of oblique pyramid=Base area × height/3
=(1/2× 12× 5 ×17)/3
=170ft³
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1. A group of armed forces personnel were surveyed. The branch of
service was recorded in the chart below.
27%
12%
Branch of Service
Army
Navy
What percent of the whole group are in the Navy?
A
26%
Marine Corps
Air Force
Coast Guard
Number of Members
165
135
60
130
10
The percent of the whole group are in the Navy is 27%.
How to calculate the percentagePercent is a term used to express a fraction or a ratio out of 100. It is represented by the symbol "%". For example, if there are 20 red balls out of a total of 100 balls, we can say that the percentage of red balls is 20%.
To calculate the percentage, we can use the following formula:
Percentage = (Part / Whole) x 100
where "Part" is the value we want to express as a percentage, and "Whole" is the total value.
The percent of the whole group are in the Navy is:
= 135/500 × 100
= 27%.
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Answer:
27%
Step-by-step explanation:
135 of the 500 total members are in the Navy. Meaning that 135 out of 500 is 27%
algebra 2 help asap (please do quickly i need it bad)
The cube's volume can be expressed as V = s³ = x³ since the height of the cube is x and all sides have equal length. The surface area of the cube can be expressed as SA = 6s² = 6x².
How to explain the informationb. The sphere's volume can be expressed as V = (4/3)πr³, where r is half the diameter or x/2. Therefore, V = (4/3)π(x/2)³ = (1/6)πx³.
The surface area of the sphere can be expressed as SA = 4πr² = 4π(x/2)² = πx².
c. The ratio of the cube's volume to its surface area can be expressed as V/SA = (x³)/(6x²) = x/6, with the restriction that x > 0.
d. The ratio of the sphere's volume to its surface area can be expressed as V/SA = [(1/6)πx³]/(πx²) = x/6, with the restriction that x > 0.
e. Since the ratios of the volumes to the surface areas of the containers are the same, the efficiency of the packaging will depend only on the amount of material required for each shape. The cube will require less material since it has a smaller surface area, making it the more efficient choice.
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NO LINKS!! URGENT HELP PLEASE!!!!
Express the statement as an inequality. Part 3a^2
The inequalities for the given word problems are:
g) p/q ≤ 6
h) 1/w ≥ 9
How to solve Inequality word problems?Inequality word problems are statements or words used to describe specific inequalities.
g) We are told that the quotient of p and q is at most 6. Thus, it is a maximum of 6. Therefore, we can write the inequality as:
p/q ≤ 6
h) We are told that the reciprocal of w is at least 9. Thus, the inequality is expressed as:
1/w ≥ 9
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89, 93, 54, 64, 91, 103, 46, 64, 82, 123, 112, 99
1188
median :
mean
mode
range
There are 15 Keurig pods in the green basket. It has two Donut Shop, six Swiss Miss hot chocolate, and seven Breakfast Blend flavors. Maddy, Charlie, and Ann like the Donut Shop Keurig pod the best. What is the probability that Ann will get the Donut Shop pod?
The probability that Ann will get the Donut Shop pod would be = 2/15
How to calculate the probability of getting a Donut Shop pod?The total number of Keurig pods in the green basket = 15
The number of Donut Shop in the basket = 2
Formula for probability;
= possible outcome/sample space
where;
possible outcome = 2
sample space = 15
Probability = 2/15
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1) You're traveling to Spain this
summer. You'll have $200 to spend on
memorabilia items. How much euros
do you have to spend on memorabilia
items? Note: $1=0.84 E
Using the conversion factor we know that we will spend 180.69€ on memorabilia items.
What is the conversion factor?A conversion factor is a number that is used to multiply or divide one set of units into another.
If a conversion is required, it must be done using the correct conversion factor to get an identical value.
A fraction that is equal to "1" is a conversion factor.
The numerator and denominator are the same amounts, but they are expressed in different units. It is used to change a number's unit of measurement.
By multiplying the initial number by the fraction that is equal to "1," you can change the units without changing the original number's value.
So, in the given situation:
$200 = euros?
We know that:
$1 = 0.90€
Then,
$200 = 180.69€
Therefore, using the conversion factor we know that we will spend 180.69€ on memorabilia items.
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A normal distribution has a mean of19 and a standard deviation of . What percent of values are from 19 to 34
what is the % of the values from 19to 34
It should be noted that 49.87% of the values fall between 19 and 34 in the original normal distribution.
How to calculate the percentageFor the lower bound of 19, the z-score is:
z = (19 - 19) / 5 = 0
For the upper bound of 34, the z-score is:
z = (34 - 19) / 5 = 3
Looking up the area under the curve for a z-score of 3 in a standard normal distribution table, we find it to be 0.9987. Looking up the area under the curve for a z-score of 0, we find it to be 0.5. Therefore, the area under the curve between z-scores of 0 and 3 is:
0.9987 - 0.5 = 0.4987 = 49.87%
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HELPPPPPP PLEASEEEEE
Answer: 300
Step-by-step explanation:
10*8*6=480-6*6*5=180=300
NO LINKS!! URGENT HELP PLEASE!!!
Express the statement as an inequality part 2 c^2
a. The negative of z is not greater than 6
1. z ≤ 6
2. -z ≤ 6
3. z ≤ -6
4. -z < 6
5. z < 6
b. The negative of m is not less than -6
1. m ≤ -6
2. m < -6
3. -m < -6
4. m < 6
5. -m ≥ -6
Symbol notation
< means "less than".> means "greater than".≤ means "less than or equal to".≥ means "greater than or equal to".= means "equals".A negative real number is any real number that is less than zero.
A positive real number is any real number that is greater than zero.
Zero is neither positive nor negative.
(a) The negative of z is not greater than 6
If the negative of z is not greater than 6, then it is less than or equal to 6.
-z ≤ 6.
(b) The negative of m is not less than -6
If the negative of z is not less than -6, then it is greater than or equal to -6.
-m ≥ -6.
The committee members will spend money to rent the following equipment:
• 2 fog machines
• 1 sound equipment set-up
• 1 disco ball
They already spent $855 on lighting and $462 on costumes.
Each audience member will receive a gift that costs $1.15 each.
What is the total amount of money, in dollars, the committee will spend on the talent show?
Item
Spotlight
Fog machine
Sound equipment set-up
Disco ball
Cost Per Item
$ 45 each
$ 40 each
$165 each
$ 45 each
Answer:
1,607 plus the amount of people multipled by 1.15
Step-by-step explanation:
2 fog machines = $80
1 sound equipment = $165
1 disco ball = $45
80+165+45+855+462= $1,607
I’m in 4th period and it’s almost over with in 3 minutes please help!!
-3x-24 ≤-36
Answer:
-3x - 24 < -36
-3x < -12
x > 4
pls help thank u i dont no what im doing
Answer:5,4
Step-by-step explanation:
If Hazel buys 0.9 pounds of coffee ice cream and 3.4 pounds of cherry ice cream, how much will she spend?
Answer:
what brand
Step-by-step explanation:
Over what interval does f(x) = 2x
increase faster than g (X) =
¿x?
A. 1
B. x > 3
C.20
D. 1 > x > 21
If over what interval does f(x) = 2x increase faster than g (X): A. 1
What is over the interval?To determine over what interval f(x) = 2x increases faster than g(x) = x^2, we need to compare their derivatives. The derivative of f(x) is 2, which is a constant, and the derivative of g(x) is 2x. Therefore, f(x) increases at a constant rate of 2, while g(x) increases at a rate that depends on x.
To find the interval where f(x) increases faster than g(x), we need to find where the derivative of g(x) is less than 2. Setting 2x < 2 and solving for x, we get x < 1.
So, over the interval x < 1, f(x) = 2x increases faster than g(x) = x^2.
Therefore, the answer is A. 1.
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lo. Rebecca found the length and width of the 6. garage door. She used the measurements to find the perimeter of the garage door. Which of the following could be the perimeter of Rebecca's garage door? F 48 square feet /G 48 square inches/ H 48 feet/ J 48 cubic feet
H 48 feet could be the perimeter of Rebecca's garage door.
We know,
Perimeter is the distance around a two-dimensional shape. It is measured in units of length, such as feet or inches.
Rebecca found the length and width of the garage door, which are both measurements of length. Let's say she found that the length was 8 feet and the width was 6 feet.
To find the perimeter, she would add up the lengths of all four sides of the rectangle:
Perimeter = 2(length) + 2(width)
Perimeter = 2(8 feet) + 2(6 feet)
Perimeter = 16 feet + 12 feet
Perimeter = 28 feet
So the perimeter of Rebecca's garage door is 28 feet. None of the answer choices given match this value exactly, but H 48 feet is a possible perimeter if the garage door was much larger than the example given above. However, it is important to note that the term "cubic feet" (answer choice J) does not apply to perimeter, as cubic feet is a unit of volume and not length.
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Martin made a stick pattern such that each successive stick is twice as long as the one before it. If the shortest stick in the pattern is long, and there are sticks in total, which is closest to the combined length of the sticks in Martin's pattern?
this. please look at photo fir ref
The coordinates of point H' include the following: H' (0, -1).
What is a translation?In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
By translating the pre-image of this trapezoid vertically downward by 2 units and horizontally right by 3 units, the coordinates of the image include the following:
(x, y) → (x + 3, y - 2)
E(-1, 4) → (-1 + 3, 4 - 2) = E' (2, 2).
H (-3, 1) → (-3 + 3, 1 - 2) = H' (0, -1).
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Find m∠MQN. help me on this one.
Answer:
Vertically opposite angles are always same.
Straight angle=180°
Angle MQN=70°
The diameter of a circle is 34 kilometers. What is the circle's circumference?
Write an equation that you can use to solve for x.
Three lines intersect at the same point. Two of the lines intersect at a 90 degree angle. The third line divides one of the right angles into two adjacent angles. One of the adjacent angles is labeled 63 degrees and the other adjacent angle is labeled x degrees
Answer:
Ok so we know it has to equal=180 right?
90+90=180
180/4
45