Answer:
18.19
Step-by-step explanation:
$ = linear f(t)
$16.03 = f(40) = fixed fee + per min fee = x + 40y
$19.72 = f(81) = fixed fee + per min fee = x + 81 y
use above 2 equations to minus the other
you get:
19.72-16.03 = 41y
so y = 0.09
so x = 16.03 - 40*0.09 =12.43
so for 64 mins
cost = 12.43 + 0.09*64 =18.19
What is square root 25x²y^2/square root xy in simplest form? Assume X>o and y>0.
A 4-pack of coffee mugs costs $2.20. What is the unit price?
Answer:
The unit price for a coffee mug is $0.55.
Step-by-step explanation:
The unit price is simply just the price per unit.
We have a 4-pack of coffee mugs that costs $2.20.
He have 4 units and the price per 4 units.
Lets evaluate the price per 1 unit.
[tex]\frac{2.20}{4} =\frac{x}{1}[/tex]
Lets solve for [tex]x[/tex].
Divide [tex]x[/tex] by 1.
[tex]x=\frac{2.20}{4}[/tex]
Divide 2.20 by 4.
[tex]x=0.55[/tex]
HELPP GEOMETRY HOMEWORK
All of the angles in an acute triangle are less than 90 degrees. Triangles are referred to as right triangles when one of their angles is 90 degrees.
What is called triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles. With three sides and three vertices, triangles are a particular kind of polygon in geometry.
It has three straight sides and is a two-dimensional figure. As a 3-sided polygon, a triangle is included. Three triangle angles added together equal 180 degrees. In one plane, the triangle is contained. When three straight lines cross, a triangle is the result. There are always three sides and three corners to a triangle (angles). A triangle's vertex is the location at which two of its sides meet.
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A peron i remodeling the front entrance to hi home and need to cut an arch for the top of an entranceway. The arch need to be 18 ft wide and 3 ft high. To draw the arch, he will ue tring with chalk attached at an end a a compa.
The person will have to place the compasses 6 feet away from the point they want the arch to start, and draw the arch with a radius of 9 feet.
The radius of the arch is 9 feet.
The formula for calculating the radius of an arch is [tex]R = (width / 2) / sin(90°)[/tex].
Therefore, the radius of the arch is:
R = (18 ft / 2) / sin(90°) = 9 ft
To calculate the radius of the arch he needs to draw, the person can use the formula R = (width / 2) / sin(90°). In this case, the width of the arch is 18 feet, so the radius of the arch is 9 feet, calculated as R = (18 ft / 2) / sin(90°). The person will have to place the compasses 6 feet away from the point they want the arch to start, and draw the arch with a radius of 9 feet.
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Refer to the initial crosstabulations. For those players with low handicaps (better players), which group (male or female) shows the highest percentage saying the greens are too fast? For the low handicappers, the men have a higher percentage who think the greens are too fast. Refer to the initial crosstabulations. For those players with higher handicaps, which group (male or female) shows the highest percentage saying the greens are too fast? For the high handicappers, the women have a higher percentage who think the greens are too fast. At each handicap level, how does the percentage of women who think the greens are too fast compare to the percentage of men who feel the same? Select When the crosstabulations are aggregated across handicap level, do you still conclude the same thing when comparing the percentage of women who complain that the greens are too fast with the percentage of the men who feel the same? Select Note: This exercise is an example of Simpson's Paradox
As per the given parentage, the highest percentage saying the greens are too fast is females.
In math the term percentage is defined as the number or ratio that can be expressed as a fraction of 100.
Here we have know that the number male players are
Male Golfers Greens Condition
Handicap Too fast Fine
Under 15 10 40
15 or more 25 25
And the female players are,
Male Golfers Greens Condition
Handicap Too fast Fine
Under 15 1 9
15 or more 39 51
Then the total value of them is calculated as,
Too fast Fine Total
Male 35 65 100
Female 40 60 100
So, the group with the highest percentage of too fast is the females.
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Suppose that the height H of a Ferris wheel can be modeled by the function H(t) = -12cos(πt/45) + 18, where t is the time in seconds. What is the maximum height of a cabin? Use 3. 14 for π.
For the given function H(t) = -12cos( πt/45 ) + 18 the maximum height is 30 units.
Function to modeled the height 'H' of the Ferries wheel is given by:
H(t) = -12cos( πt/45 ) + 18
Where 't' represents the time in seconds.
For cosine trigonometric function,
-1 ≤ cosα ≤ 1
Here cos function lies between two values -1 and 1.
Substitute cos( πt/45 ) = 1 or -1
When cos( πt/45 ) = 1
H(t) = -12(1) + 18
⇒H(t) = 6 units
When cos( πt/45 ) = -1
H(t) = -12(-1) + 18
⇒H(t) = 30 units
Maximum height of a required cabin is equals to 30 units.
Therefore, the maximum height of given cabin represented by the function
H(t) = -12cos( πt/45 ) + 18 is equal to 30 units.
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hEEEELLLLLPPPPPP
Select all of the terms that apply to the shape.
hexagon
convex
irregular polygon
octagon
decagon
concave
heptagon
pentagon
regular polygon
nonagon
the shape is a arow pointing up and downn
Pentagon, irregular polygon and convex polygon are the names that apply to the given form.
What is a polygon?A polygon is a two-dimensional flat form with straight, completely closed sides. Straight, not curved, sides are required. Polygons, on the other hand, can have any number of sides.
A pentagon is a polygon with five sides, and if these sides are uneven, it is an irregular pentagon, also known as an irregular polygon.
A convex polygon is one with all of its internal angles smaller than 180°.
As a result, the terms for the given form are pentagon, irregular polygon, and convex polygon.
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The question seems incomplete, the missing figure has been attached below
can someone help me out
answers
2 units
3 units
5 units
7 units
The length of PT is 3 units. The solution has been obtained using the concept of transformation.
What is transformation?
A transformation is an operation that moves a polygon or other two-dimensional object on a plane or coordinate system.
The term "pre-image" or "inverse image" refers to the shape in two dimensions prior to any modification. The image is the shape after transformation.
Transformation can be done by translation, rotation, reflection and dilation.
We are given two rectangles ABCD and PRQT
AB = DC = 3 units
AD = BC = 10 units
It can be observed that the rectangles PRQT and ABCD are same but PRQT is rotated.
Since, they are same so,
AB = PT = 3 units
Hence, the length of PT is 3 units.
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a. three times the total number of adults was 17 less than the number of children who visited the petting zoo. write an equation to model this relationship.
If the 3 times of total number of adults was 17 less than number of children who visited the petting zoo , then the equation to model this relationship is written as c = 3a + 17 ;
let the number of children in the petting zoo be = c ;
and the number of adults in the petting zoo is = a ;
given that the the number of children are 3 times the number of adults ;
that means ⇒ c = 3a ;
and also given that the difference between the number of children and number of adults is 17 .
This situation can be represented as :
⇒ c - 3a = 17 ;
⇒ c = 3a + 17 .
Therefore , the equation to model this relationship is "c = 3a + 17" .
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the 140 employees in a factory are either right handed or left handed
The frequency table is given below.
The probability that a person chosen is a left-handed female is 31/140.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total number of employees = 140
Male:
Number of male = 65
Right-handed.
= Total number of right-handed - Female right handed
90 - 44 = 46
Left-handed.
= 65 - 46
= 19
Female:
Number of females.
= Total employees - Number of males
= 140 - 65
= 75
Right-handed.
= 75 - 31
= 44
Left-handed.
= 31
Now,
The frequency table.
RH = 46
LH = 19
Male = 65
140
Female = 75
RH = 44
LH = 31
Now,
The probability that a person is a left-handed female.
= Number of left-handed females / Total number of employees
31/140
Thus,
The frequency table is given above.
The probability that a person is a left-handed female is 31/140.
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Create a proportion for each set of similar triangles, that can be used to find the missing side lengths indicated. Then solve the proportion.
The values of x from the given figures are 3 √29 and 24 respectively.
What is triangle ?
Triangle can be defined in which it has three sides , three angles and sum of three angles is always 180 degrees.
Given
In the figure,
The two given triangles are similar ,
So, in the first figure it is given that they are similar ,
√29 / 5 = x / 15
x = √29 * 15 / 5
x =√29 * 3
x = 3 √29
And in the second figure , here also they gave they are similar
so we get,
12 / 13 = x / 26
x = 12 * 26 / 13
x = 12 * 2
x = 24
Hence, The values of x from the given similar triangles are 3 √29 and 24 respectively.
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5. while performing a starch test on several different cookie brands, four tests result in the typical black color of starch presence, but the fifth gives a yellow-brown color. how might you interpret this result?
Starch and protein levels are checked for In order to present the idea of chemical compound variety, it is necessary to test for the presence of starches and protein macromolecules.
Hypothesis: It is a negative result if the biuret reagent remains blue after a test for protein since the reagent itself is blue. The test for protein is positive if a solution is pinkish purple or purple. The starch test solution is a yellowish brown color. We utilized iodine to test for starch in some solutions if any ingredient produced a mixture that was yellowish brown in color. Polysaccharides, monosaccharides, and disaccharides are separated from starch by iodine. Iodine interacts with molecules, changing the color of the molecules, while starch is a coiled polymer of glucose.
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We want to know how a tudent’ level of education and their gender impact both their annual income and amount of tudent loan debt. However, we want to account for the annual income of the tudent’ parent a well. So which Statitical Tet are you going to ue?
The best statistical test to be used is multiple linear regression analysis.
Multiple linear regression is a statistical method that allows you to examine the relationship between two or more independent variables (in this case, level of education, gender, and annual income of the student's parents) and one dependent variable (annual income and student loan debt).
It will help you determine how much of the variation in the dependent variable is explained by the independent variables, and the strength and direction of the relationships between the variables.
In this case, this test will allow us to determine the impact of a student's level of education, gender, and the annual income of their parents on their annual income and student loan debt while accounting for the possible confounding effect of the annual income of their parents on these variables.
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Determine whether the pairs of triangles are congruent.
Answer:
1. yes
2. No
Step-by-step explanation:
1. The triangles are congruent
2. It's not matching
a bag contains 16 black balls and 14 white balls. two balls are drawn at random from the bag, one after the other without replacement. what is the joint probability the first ball drawn was black and the second ball drawn was also black?
Answer:
Step-by-step explanation:
12.2 Apples and Oranges
At the corner produce market, apples cost $1 each and oranges cost $2 each.
1. Find the cost of:
a. 6 apples and 3 oranges
b. 4 apples and 4 oranges
c. 5 apples and 4 oranges
d. 8 apples and 2 oranges
Unit 3: Linear Relationships
Lesson 12: Solutions to Linear Equations
Download
The total cost of 6 apples and 3 oranges is $6 + $6 = $12.
The total cost of 4 apples and 4 oranges is $4 + $8 = $12.
The total cost of 5 apples and 4 oranges is $5 + $8 = $13.
The total cost of 8 apples and 2 oranges is $8 + $4 = $12.
What is linear equation and the total cost of given terms?a). 6 apples at $1 each = $63 oranges at $2 each = $6The total cost of 6 apples and 3 oranges is $6 + $6 = $12.b). 4 apples at $1 each = $44 oranges at $2 each = $8The total cost of 4 apples and 4 oranges is $4 + $8 = $12.c). 5 apples at $1 each = $54 oranges at $2 each = $8The total cost of 5 apples and 4 oranges is $5 + $8 = $13.d). 8 apples at $1 each = $82 oranges at $2 each = $4The total cost of 8 apples and 2 oranges is $8 + $4 = $12.In all the above examples, we simply multiplied the number of apples by the cost per apple and the number of oranges by the cost per orange. Then we added the two amounts to find the total cost.To learn more about linear equation refer:
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7. Segment MN has endpoints at M(-12,-5) and N(8, 10). A third point Q is located on MN such that MQ:ON=2:3. Answer the following questions. (a) Find the coordinates of Q. Show how you arrived at your answer.
Answer:
To find the coordinates of Q, we can use the concept of proportional division of line segments.
Given that MQ:ON = 2:3, it means that the ratio of the length of MQ to ON is 2:3.
Let's first find the vector that represents the direction of MN, which is the vector pointing from M to N. We can find this by subtracting the coordinates of M from the coordinates of N:
(8,10) - (-12,-5) = (20, 15)
This is the vector <20,15>
Now, we can find the point Q, which is located two thirds of the way from M to N, by multiplying the vector <20,15> by 2/5 and adding the result to the coordinates of M:
Q = M + (2/5) * <20,15>
= (-12,-5) + (2/5) * <20,15>
= (-12,-5) + <8,6>
= (8,1)
So, the coordinates of Q are (8,1)
In this figure, 12. 2% of the area is painted blue. How much of the area is painted blue? 1. 22 cm² 3. 05 cm² 4. 27 cm² 5. 49 cm² A square with side lengths of 5 cm. A triangle attached to one side has a perpendicular line indicating a height of 4 cm
12.2 % of the area painted blue of the figure representing a square with attached triangle on one side with perpendicular height 4cm is equal to 4.27 cm² .
Figure having square attached with triangle on one side.
Side length of the square = 5 cm
Area of the square = ( side-length )²
= 5²
= 25 cm²
Triangle attached on one side of the square with height = 4cm
Area of the triangle = ( 1/2) × base × height
= ( 1/2) × 5 × 4
= 10 cm²
Total area of the figure = 25 + 10
= 35 cm²
Percent of area painted blue = 12.2% of total area
= ( 12.2 / 100 ) × 35
= 4.27 cm²
Therefore, for the given figure made up of square and triangle area to be painted blue is equal to 4.27 cm².
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how many 9-digit integers contain exactly 5 zeroes? (recall that the leading digit is never zero! you may enter a formula or an exact numerical value.)
Considering that the leading digit is never zero , then the number of 9 digit integers that can contain exactly 5 zeroes are 367416 numbers .
the number of digits in the number is = 9 digits ;
the number should have exactly five zeroes ,
the number of ways to pick five of the digit positions for the zeroes, since the first digit can’t be zero is = ⁸C₅ ,
There are 9 possible digits for each of other 4 positions as other positions are occupied by 0 ,
So, the total number of possibilities is = ⁸C₅ × 9⁹⁻⁵
Simplifying further ,
we have ,
= ⁸C₅ × 9⁴
= 56 × 6561
= 367416 numbers .
Therefore , there can be 367416 numbers of 9 digits having 5 zeros .
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Label each item as factor by grouping or factor using substitution.
To factor a trinomial of the form
a x 2 + bx + c, multiply the trinomial
by a. Rewrite the first two terms
using ax. Substitute a single variable
for ax. Factor the trinomial. Substitute ax
back in for the variable. Divide by a.
Step-by-step explanation:
I Don't even know what the answer is
Ms. Lambert took her family to Pimento Garden on Sunday for dinner. The total bill was $73.25, and she wanted to leave an 18% tip. How much
money should she leave for the tip? *Make sure your answer rounded to correct money form.
Answer: The answer is $13.19.
Step-by-step explanation:
1- Turn the percentage into a decimal by moving the percent sign twice to the left.
2- Multiply the bill by the decimal.
3-youll get 13.185 so you'll round up to 13.19.
hope this helps!!
jane spent 2 hours exploring a mountain with a dirt bike. when she rode the 40 miles uphill, she went 5 mph slower than when she reached the peak and rode for 12 miles along the summit. what was her rate along the summit?
The time to calculate her rate along the summit Rate = 1.5 mph
Rate = Distance / Time
To solve this problem, we will first need to calculate the time it took Jane to reach the peak. Since she rode 40 miles uphill, we can use the rate of 5 mph slower than when she reached the peak to calculate this time.
Time = Distance / Rate
Time = 40 miles / (Rate - 5 mph)
Time = 40 miles / (Rate - 5 mph)
Time = 40 miles / (Rate - 5)
Time = 8 hours
Since Jane spent 2 hours exploring the mountain, the total time it took her to reach the peak was 8 hours. We can now use this time to calculate her rate along the summit.
Rate = Distance / Time
Rate = 12 miles / 8 hours
Rate = 1.5 mph
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what is the answer to this question
Answer:82 cm squared
Step-by-step explanation:
Just draw imaginary lines on the shape to turn it into a bunch of squares and rectangles, then find the area of those and add them together.
Kinda hard to explain since there are multiple ways to do it, but I hope that this still helps!
Write a value for n that would make the inequality true. ⁿ⁄₉ > ½ n = _____________________
The value for n that would make the inequality true is 4.5
What is an inequality?You should understand that a statement of an order relationship with greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions is inequality.
The given inequality is ⁿ⁄₉ > ½
This implies that 2(n) > 1(9)
Opening the brackets to have
2n > 9
Making n the subject of the relation by dividing both sides by 2
2n/2 > 9/2
Therefore n = 4.5
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Assuming all the workers employed at the beanbag factory are of equal ability,
what might the beanbag factory do to address the diminishing marginal returns it
experiences after the hire of its third worker?
A. Fire the manager.
B. Invest in more equipment.
C. Hire more workers.
D. Wait for its workers to improve.
Assuming all the workers employed at the beanbag factory are of equal ability, the beanbag factory invest in more equipment to address the diminishing marginal returns it experiences after the hire of its third worker. So the option B is correct.
It is assumed that all of the factory's employed employees have the same level of skill. Additionally, it must follow that if they are working to their maximum ability, they will be able to accomplish the same amount of work as before.
Since the third man was hired, the quantity of work the three of them have completed has decreased, making it clear that he is to blame for the diminishing returns.
Therefore, it seems sense to fire the individual since he is either not performing to his full capacity or encouraging other employees to do the same.
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Find the image of (-1,3) obtained by translating 2 units down, followed by a rotation of 270 counterclockwise about the origin.
The image of the point (-1, 3) is (1, 1).
What is Translation?A translation is a transformation that moves every point in a figure the same distance in the same direction.
For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .
Given:
Pint( -1, 3).
Translating unit = 2 units down
According to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, move it to your new x-coordinate, and then take the opposite of the x-coordinate and set it as your new y-coordinate:
Extended Rotation Rules
270°-clockwise rotation [90°-counterclockwise rotation] = (x, y) → (-y, x)
270°-counterclockwise rotation [90°-clockwise rotation] =(x, y) → (y, -x)
and, 180°-rotation = (x, y) → (-x, -y)
Thus, the 270°-counterclockwise rotation [90°-clockwise rotation] will be
[-1, 1] moves to [1, 1].
Hence, the translation is (1, 1).
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Is figure B a scale factor of figure A What is x
Answer:
Step-by-step explanation:
Step 1:
Make a proportion:
10/5 = 22/x
Step 2:
Cross multiply:
10x=22*5
10x=110
Step 3:
Divide by 10 to isolate x:
x=11
Evaluate 0.0007 multiplied by 100
Answer:
0.07
Step-by-step explanation:
[tex]0.0007*100=0.07[/tex]
Basically, you move the 7 two places to the left since 100 has 2 zeroes.
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $3300 and his stock in Company B was worth $4140. The stock in Company A has increased 4% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth Answers fast!
The total percentage increase in the investor's stock account was of 4.55%.
The values of the stocks of Company A and Company B, after the increase are given, respectively, by:
Company A: 3300 x 1.04 = $3432.
Company B: 4140 x 1.05 = $4347.
The total values are given as follows:
Before the increase: 3300 + 4140 = 7440.
After the increase: 3432 + 4347 = 7779.
The percent increase is given by the increase divided by the initial value and multiplied by 100%, hence:
P = (7779 - 7440)/7440 x 100% = 4.55%.
The total percentage increase in the investor's stock account was of 4.55%.
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A right rectangular prism measures 12 cm tall, 3 cm long, and 10 cm wide. A manufacturer would like to double the surface area of this prism. What should be the height of the new prism so that its surface area is doubled? Enter your answer, to the nearest tenth, in the box.
The height of the new prism so that its surface area is doubled will be 26.31 cm.
What is the surface area of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as
SA = 2(LW + WH + HL)
A right rectangular prism measures 12 cm tall, 3 cm long, and 10 cm wide. A manufacturer would like to double the surface area of this prism.
Then the height of the new prism so that its surface area is doubled will be given as,
2 x 2 x (12 x 3 + 3 x 10 + 10 x 12) = 2(3h + 3 x 10 + 10h)
2(36 + 30 + 120) = 13h + 30
372 = 13h + 30
13h = 342
h = 26.31 cm
The height of the new prism so that its surface area is doubled will be 26.31 cm.
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