Answer:
20
Step-by-step explanation:
Simplify both sides of the equation.
−4= r 20 −5 −4= 1 /20 r+−5 −4= 1 /20 r−5
Flip the equation.
1 /20 r−5=−4
Add 5 to both sides.
1 /20 r−5+5=−4+5
1 /20 r=1
Multiply both sides by 20.
20*( 1 /20 r)=(20)*(1)
r=20
Circle A has a radius of 17 inches. what is the circumstance of Circle A
Answer:
106.76
Step-by-step explanation:
The formula to calculate the circumference if you know the radius is as follows: Circumference = 2 x Radius x π π = Pi = 3.14, thus, the math to calculate the circumference of a circle with a radius of 17 is: 2 x 17 x 3.14 = 106.76
The point D(-3, -6) is translated 2 units left and 3 units up. What are the coordinates of the resulting point, D′?
Answer:
Point D: (-5,-3)
Step-by-step explanation:
I could really use some help answering a few questions
Garret is removing a hem from a skirt. It takes
Garret 5 min to remove 4 in. of the hem. He wants to
know how long it will take to remove 5 ft of the hem if
he continues to work at the same rate.
Lavar
How can Garret determine how long it will take to remove 5 ft of the hem?
Choose one option from each drop-down menu to answer the question.
It takes Garret Choose... min to remove 1 ft of hem.
He should multiply the number of minutes by Choose... to determine the number of minutes it will take to
remove 5 ft of hem.
It will take Choose.... min to remove 5 ft of hem.
It takes Garret Choose min to remove 1 ft of hem. He should multiply the number of minutes by Choose... to determine the number of minutes it will take to remove 5 ft of hem.
What is the unitary method?The unitary method is a technique used to determine the value of a single unit from the value of many units and the value of multiple units from the value of a single unit. We typically utilize it for math calculations. This approach will come in handy for topics involving ratio and proportion, algebra, geometry, etc. In the unitary technique, we always count the value of a unit or one quantity first before figuring out the values of more or fewer quantities. This method is referred to as the "unitary method" for this purpose.
There are two types of unitary methods because they result in two types of variations and those are given below:
Direct VariationIndirect VariationTo know more about the unitary method ,visit:
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Simplify the expression: 4(–6p − 2)
Answer:
-24p -8
Step-by-step explanation:
4(–6p − 2)
Distribute
4 * -6p -4*2
-24p -8
Name the additive identity of 2/3
The additive identity of 2/3 is 0
How to determine the additive identity of the expressionFrom the question, we have the following parameters that can be used in our computation:
Number = 2/3
The above number is a real number
As a general rule of real numbers, all real numbers have an additive identity of 0
This means that the additive identity of 2/3 is 0
So, we have
Additive identity of 2/3 = 0
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Which function has the graph shown?
OAY COS
B. y -cos.x
● C. yin x
D. y sin (x)
f
The trigonometric function on the graph is:
f(x)= -cos(x)
So the correct option is B.
Which function is the graphed one?Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.
Notice that:
sin(0)= 0
cos(0) = 1
So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:
f(x) = -cos(x)
That is the graphed function.
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Tony wants to save 10,000 in 6 years. Assuming interest rate what is the minimum he must save month to goal?
Answer:
Tony wants to save $10000 in 6 years. which is approx $123. Hence final answer is C) $123.
Answer:
c
Step-by-step explanation:
We have been given that Tony wants to save $10000 in 6 years.
That means future value S = $10000
Time t= 6 years
Interest rate = 4% yearly = 0.04 yearly
n=12 months per year
Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is
which is approx $123.
Hence final answer is C) $123.
What is the slope of a line perpendicular
to the line whose equation is 5x -8y =
16?
my friend needs help on this problem, plz help, thank you
Answer:
3 = 95, 4 = 85, if a and b are parallel
Step-by-step explanation:
Answer:
<3=95
<4=85
Step-by-step explanation:
<3 is 95 because it matches the other angle because of parallel angles. the other angle is supplementary, so 180-95=85
find the missing side. round to the nearest tenth
The required angle is 24.5°.
Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,
To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.
The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.
In this case, the perpendicular side is 16 and the base is 35.
Let's denote the acute angle as θ.
Using the tangent function, we can set up the equation:
tan(θ) = perpendicular side / base
tan(θ) = 16 / 35
To find the value of θ, we can take the inverse tangent of both sides:
θ = tan⁻¹(16 / 35)
θ = 24.5°
Hence the required angle is 24.5°.
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The length of a rectangle is 6 feet less than 4 times the width. If the perimeter is 68 feet, find the length and the width of the rectangle.
Answer:
Length = 26 feet; Width = 8 feet
Step-by-step explanation:
Let:
x = Length of rectangle
y = Width of rectangle
4 times the width = 4y
∴ 6 less than 4 times the width = 4y - 6
Perimeter of a rectangle = 2 × [Length + Width]
68 = 2 × [(4y - 6) + y]
Expand the brackets or parenthesis by applying the Distributive Law and bring the like terms together:
68 = 2 × [4y - 6 + y]
68 = 2 × [5y - 6]
68 = 10y - 12
68 + 12 = 10y
Isolate y by making it the subject of the equation:
80 = 10y
y = \(\frac{80}{10}\)
y = Width of rectangle: 8 feet
Substitute y into the equation to calculate x:
x = 4(8) - 6
x = Length of rectangle = \((32 - 6)\) feet
x = 26 feet
Solve ( 5 5 6 + 1 3 4 ) − 4 7 12 . Select the correct solution. A. ( 5 + 1 + 5 6 + 3 4 ) − 4 7 12 = ( 6 + 8 10 ) − 4 7 12 = 6 8 10 − 4 7 12 = ( 6 − 4 ) + ( 8 10 − 7 12 ) = 2 1 12 B. ( 5 + 1 + 10 12 + 9 12 ) − 4 7 12 = ( 6 + 19 12 ) − 4 7 12 = 7 7 12 − 4 7 12 = 11 C. ( 5 + 1 − 4 ) + ( 10 12 + 9 12 − 7 12 ) = 2 + 12 12 = 2 + 1 = 3 D. ( 5 + 1 − 4 ) + ( 5 6 + 3 4 − 7 12 ) = 2 + 5 + 3 − 7 6 + 4 − 12 = 2 + 1 2 = 2 1 2
The correct solution of given expression is C. (5 + 1 - 4) + (10/12 + 9/12 - 7/12) = 2 + 1 = 3.
What is expression?
In mathematics, an expression is a combination of symbols, numbers, and operators that represents a value or a relationship between values. Expressions can be composed of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and radicals.
We can simplify the expression inside the parentheses first and then subtract the fraction.
(5 5/6 + 1 3/4) - 4 7/12
= (33/6 + 7/4) - 55/12
= (11/2 + 7/4) - 55/12
= 22/4 + 7/4 - 55/12
= 29/4 - 55/12
To subtract these fractions, we need a common denominator of 12:
= (329)/(34) - (555)/(512)
= 87/12 - 275/60
= 87/12 - 11/4
= (29/4) - (33/12)
= (29/4) - (11/3)
To find the correct solution, we can simplify this expression:
(29/4) - (11/3) = (87/12) - (44/12) = 43/12
Therefore, the correct solution is C. (5 + 1 - 4) + (10/12 + 9/12 - 7/12) = 2 + 1 = 3.
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A new firm loses $2000 in its first month, but its profit increases by $400 in each succeeding month for the next year. What . is its profit in the twelfth month?
Answer:
Ans. Given, A1 = $2000 profit = A1 + (n-1)d d = $400 = -2000+(12-1)400 n = 12 = $2400
The required profit in the twelfth month is $2400.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values
To solve this problem, we need to use the arithmetic sequence formula to find the profit of each month, then add up the profits for the first 12 months to find the profit in the twelfth month.
The first term (a₁) is -2000, the common difference (d) is 400, and we need to find the twelfth term (a₁₂).
We use the formula for the nth term of an arithmetic sequence:
an = a₁ + (n - 1)d
So, substituting the given values, we get:
a₁₂ = -2000 + (12 - 1)400
a₁₂ = -2000 + 11*400
a₁₂ = -2000 + 4400
a₁₂ = 2400
Therefore, the profit in the twelfth month is $2400.
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PLEASE HELP ASAP!!!!!
a lower auto insurance deductible usually means a higher __
a.) maintenance cost
b.) max out of pocket
c.) premium
d.) ticket.
The deductible is the amount one pays towards the auto insurance
The complete statement is: a lower auto insurance deductible usually means a higher premium
What is deductible?When an insured loss or disaster happens, the amount one pay towards the loss is referred to as the deductible
As a general rule, the more the deductible, the lower the premium; and vice versa.
This means that: a lower auto insurance deductible usually means a higher premium
Hence, the text that completes the statement is premium
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Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
given the rectangles have equal areas then equating the two areas gives
4x × 9 = 4(6x + 6) , that is
36x = 24x + 24 ( subtract 24x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
Missy bought 5 cookies for $3. If she can also buy 10 cookies for $6, or 15 cookies for $9, does this show a proportional relationship? If so, write an equation to represent this relationship.
3). What is the sale price for S45 sneakers, marked down 20% and then marked down another 25% to the nearest cent?
Given:
Original Price = $ 45
1st Mark down = 20 % ( this means you 're paying only 80% of the price)
2nd mark down = 25 % ( this means you 're paying only 75% of the price)
Required : Sale price of the sneaker after the 2nd markdown
Solution:
Sale price after the 1st mark down = Orignal Price x 80% or Original Price x ( 10
Draw the base plan for the set of stacked cubes. Assume that no cubes are hidden form view.
Answer:
Given Figure has set of Stacked cubes.
To Draw the Base Plan, lets see its right side, Left Side and Front side view.
Right side:
It has 3 cubes in base.
2 cubes in 2nd layer clearly seen in figure and only 1 cube in 3rd layer.
Left Side:
It has 2 Cubes in base.
Both Cubes attached to 1st and 2nd cube of right side cubes.
Front Side:
It can be seen that, here base only has 2 rows of cubes.
Therefore, 1st Figure is correct Base Plan (or enclosed figure)
Note: Numbers in enclosed figure just shows the total no. of cubes in that stack.
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There are 9 doctors at a medical clinic. The table below glves information about the number of female and male patients they treated.(a) Give the set of doctors who treated more than900 male patients. Use roster form for yourset.KidduBoydCruzFalceTabibMunozEgwuPerezDoctorNumber of Number offemale patients male patientsKidd 18022108LI 16501956Boyd 13551685Cruz 12351157Falce 1165957Tabib 1016758Munoz 995566Egwu 654550Perez 545345(b) Give the set of doctors who treated more than1400 female patients. Use roster form for yourset.DL.IХ5?
a) From the given data we get that the doctors that have treated more than 900 male patients are:
Kidd, Li, Boyd, Cruz, and Falce.
b) From the given data we get that the doctors that have treated more than 1400 female patients are:
Kidd, and Li.
Answer:
(a) {Kidd, Li, Boyd, Cruz, Falce}.
(b) {Kidd, Li}.
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Tariq sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
The probability that a person will purchase no more than one costume is given as follows:
93%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of outcomes for this problem is given as follows:
187 + 228 + 29 = 444.
Only 29 people purchased more than one costume, hence the probability of at most one costume is calculated as follows:
(444 - 29)/444 = 0.93 = 93%.
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The sum of twice a number, m, and 7 is equal to 15 less than the number,
m. What is the value of m?
Answer:
2m+7 = m-15
2m-m+7 = -15
1m = -15-7
1m = -22
m = -22
Suppose that a sample is taken from a population whose mean value is 48.
As the sample size increases, which value will the sample mean approach?
O A. 48
OB. 45
O C. 54
O D. 51
Answer:
A. 48
Step-by-step explanation:
Due to the law of large numbers, as sample size increases, proximity to the true mean increases for the sample mean.
A right rectangular prism has the dimensions 4 by 6 by 3 feet. Enter the volume, in cubic feet, of the rectangular prism.
A circular plate has a radius of 7 inches. Which is closest to the area of the plate?
Answer:
Approximately \(153.94\) \(in^2\)
Step-by-step explanation:
Recall the formula for the area of a circle:
\(\pi r^2\)
Where r is the radius.
We are given that the radius is 7 inches. Let's plug that into our formula and solve it. We have:
\(\pi r^2=\\\pi (7)^2=\\\pi (49)=\\49\pi\)
From here, we multiply our answer by pi using a calculator and round.
Using a calculator, we can find that \(49\pi\) is approximately 153.93804 (round to the nearest hundredth: 153.94)What is an
equation of the line that passes through the points (5, 7) and (-5, -1)?
Answer:
y - 7 = 0.8(x - 5) ory = 0.8x + 3Step-by-step explanation:
Given2 points (5, 7) and (- 5, - 1)To findEquation of the line passing through the given pointsSolutionFind the slope of the line using slope equation:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)\(m=\dfrac{-1-7}{-5-5}=\dfrac{-8}{-10}=0.8\)Use one of the points and the point-slope equation:
\(y-y_1=m(x-x_1)\)\(y-7=0.8(x-5)\)This can be converted to slope-intercept form:
\(y = mx + b\)\(y -7=0.8(x-5)\)\(y -7=0.8x-0.8*5\)\(y -7=0.8x-4\)\(y =0.8x-4+7\)\(y=0.8x+3\)c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
I need help with this question please with details
The dimensions of the rectangular box are given as follows:
All the dimensions.
A. 6 inches long, 3 inches wide, 3 inches tallB. 9 inches long, 2 inches wide, 3 inches tallC. 18 inches long, 3 inches wide, 1 inch tallD. 27 inches long, 2 inches wide, 1 inches tallHow to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The box's volume is obtained as follows:
54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)
Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.
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Steinmetz furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $100 and requires 100 cubic feet of storage space, and each medium shelf costs $50 and requires 80 cubic feet of storage space. The company has $25000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $85 and for each medium shelf is $75. What is the constraint on money to invest?Max Z = 75B + 85M
Max Z = 85B + 75M
100B + 50M ? 25000
100B + 50M ? 25000
100B + 80M ? 18000
100B + 80M ? 18000
Answer:100B + 50M ? 25000
Step-by-step explanation: CZ 75B has a firing pin block which makes for a longer SA trigger pull. CZ 75 has the superior trigger. Aren't the magazines different (and not interchangeable) as well? IIRC, the older 75 mags are not easy to find, and can be expensive.Apr 22, 2011
HELP PLS!! according to the rational root theorem, -2/5 is a potential rational root of which function?
Answer:
hi
Step-by-step explanation:
According to the Rational Roots Theorem, the possible rational roots are all the factors of the constant term expressed over the factors of the leading coefficient of the polynomial function. The reason is that the numerator of this rational root is a factor of 4 and the denominator is a factor of 25.
DOES IT HELP?!
Answer: D
Step-by-step explanation: Got it right