Answer:
[tex]x {}^{2} - 4x - 12 = 0 \\ (x - 6)(x + 2) = 0 \\ x = 6 \: \: x = - 2[/tex]
A plumber charges a flat fee of $73 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following. C=25h+73 (a) What is the total cost for fixing a drain that takes 5 hours? (b) If the plumber charged a total of $398, how many hours did he spend fixing the drain?
Answer:
a. The total cost of fixing the drain is $198
b. The plumber spend 13 hours fixing the drain
Step-by-step explanation:
We know the equation is
C=25h+73
C = the total cost
h = the number of hours
Let's solve question a by putting 5 in for h
C=25(5)+73
C = 125 + 73
C = $198
So, the total cost of fixing the drain is $198
Let's solve question b by butting 398 in for c
398=25h+73
325 = 25h
h = 13 hours
So, the plumber spend 13 hours fixing the drain
If you can, please give me a Brainliest; thank you!
if sin theta = 4/5 and theta is in quadrant 2, the value of cot theta is
Answer:
Cot(theta) = - 0.75 or -3/4
Step-by-step explanation:
The hypotenuse is 5
The y value is 4
We need to find the corresponding x value.
x^2 + y^2 = z^2
X = ?
y = 4
z = 5
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 9
Now in this case, you are in quadrant 2, so the x value is - 3
sqrt(x^2) = sqrt(9)
x = - 3
The cot value is the adjacent (x value) / the opposite ( y ) value
Cot(theta) = -3/4
cot(theta) = -0.75
Answer:
cotθ = -3/4
Step-by-step explanation:
Given:
sinθ = 4/5
θ is in Quadrant II, so cosθ < 0
Recall:
cotθ = cosθ/sinθ
cos²θ + sin²θ = 1
Determine cosθ:
cosθ = -√(1-sin²θ) = -√(1-(4/5)²) = -√(1-16/25) = -√(9/25) = -3/5
Determine cotθ:
cotθ = cosθ/sinθ = (-3/5)/(4/5) = (-3/5)(5/4) = -15/20 = -3/4
You roll a die three times. What is the probability that you would roll a
two each time?
Answer:
1/216
Step-by-step explanation:
There are 6 sides in a die, and one of those sides is a two.
So, the probability of rolling a two is 1/6.
To find the probability of rolling a two each time, multiply 1/6 by itself three times.
1/6 · 1/6 · 1/6
= 1/216
So, the probability is 1/216
Each grid square is 1 square unit. Find the area, in square units, of the shape without counting every square. Be prepared to explain your reasoning.
The total area of the two rectangles is given by the equation A = 33 units²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the total area of the 2 rectangles be A
Now , each grid square represents = 1 square unit
Now , let the first rectangle be represented as P
The length of P = 4 grid squares
The width of P = 3 grid squares
Let the second rectangle be represented as Q
The length of Q = 7 grid squares
The width of Q = 3 grid squares
So , Area of Rectangle = Length x Width
The area of rectangle P = 4 x 3
The area of rectangle P = 12 units²
The area of rectangle Q = 7 x 3
The area of rectangle Q = 21 units²
So , the total area of figure A = area of P + area of Q
On simplifying the equation , we get
Total area of figure A = 12 units² + 21 units²
Total area of figure A = 33 units²
Therefore , the value of A is 33 units²
Hence , the area is 33 units²
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A small box can hold 94.24 g of candy. If each candy has a mass of 1.52 g, how many candies can fit into each box?
Answer:
62 candies can fit into each box
Step-by-step explanation:
We know
A small box can hold 94.24 g of candy
Each candy has a mass of 1.52 g
How many candies can fit into each box?
To find it we take
94.24 divided 1.52 = 62 candies
So, 62 candies can fit into each box
How to tell if a number is rational or irrational calculator?
We can tell if a number is rational or irrational by Venn Diagram
Both irrational and rational numbers are exact, yet they have different properties. Any number that can be expressed as P/Q, where P and Q are both integers and Q is more than zero, is considered to be reasonable. Simple fractions, however, cannot be used to express an irrational number. An illustration of a rational number is 2⅔ 3, while an irrational number is √2.
All integers, fractions, and repeating decimals are included in the concept of a rational number. We may represent every rational number as p/q, where p and q are integer numbers.
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What is the degree of the polynomial 7x 2y 3z 4?
The degree of a polynomial is the highest power of each variable in the equation. In the polynomial 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z. Therefore, the degree of this polynomial is 8.
1. Identify the highest power of each variable.
For 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z.
2. Add the highest powers of each variable.
2 + 3 + 4 = 9
3. Subtract 1 from the sum.
9 - 1 = 8
4. The degree of the polynomial is the result of the subtraction.
Therefore, the degree of the polynomial 7x2y3z4 is 8.
The degree of a polynomial is the highest power of each variable in the equation. To calculate the degree of a polynomial, you must identify the highest power of each variable and add them together. Then, subtract 1 from the sum to get the degree of the polynomial. For example, in the polynomial 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z. Adding these powers together gives us 9. Subtracting 1 from this sum gives us 8, which is the degree of the polynomial. Therefore, the degree of the polynomial 7x2y3z4 is 8.
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Teresa earns $6.25 per hour.calculate her wage for the week
Answer$250
Step-by-step explanation:
6.25 x 8 = 50 x 5 = 250
Answer:
$1,050
Step-by-step explanation:
6.25 x 24 x 7 = $1,050
6.25 x 24 represents the amount per hour multiplied by a days total hour (24) which is then multiplied by 7 to represent a week.... which equals $1,050
sharla's batting average is 0.583. what would that be in fraction form
Given:
Sharla's batting average is 0.583.
To find:
The fraction form of the Sharla's batting average.
Solution:
It is given that Sharla's batting average is 0.583. So, it can be written as:
[tex]0.583=0.583\times \dfrac{1000}{1000}[/tex]
[tex]0.583=\dfrac{583}{1000}[/tex]
This fraction can not be simplified further because there is no common factor of 583 and 1000.
Therefore, the fraction form of the Sharla's batting average is [tex]\dfrac{583}{1000}[/tex].
linear equations with distributing drag and drop
Can someone please help me with these? I'll give you a 5 star rating, and brainliest answer!
Answer:
A.)
distributeadd 7x to both sidesadd 6 to both sidesdivide both sides by 10B.)
distributecombine like termssubtract 12x from both sidesadd 6 to both sidesdivide both sides by 10Anyone pls help :) I'll give brainliest
Answer:
B. -5/2
Step-by-step explanation:
(0, -7) and (-4, 3)
m = 3+7/-4-0
m = 10/-4
m = -10/4
m = -5/2
Answer:
b
Step-by-step explanation:
What is the name of the shaded angle
Answer:
That's an acute angle.......
wow i dont know. i hope you figure the answer
What does -1 - 13b + 10 + 10b equal?
Answer:
=9-3b
Step-by-step explanation:
i hope this helps :)
In ΔWXY, w = 470 inches, mm∠W=55° and mm∠X=42°. Find the length of y, to the nearest 10th of an inch.
The length of y using sine rule is 6664.2 inches
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
in this case w/sinW = y/sinY
Y = 180-(55+42)
Y = 180-(97)
Y = 83°
Therefore 470/sin55 = y/sin83
470× sin83 = y sin55
= 466.50 = 0.707y
divide both sides by 0.707
y = 466.50/0.707
y = 6664.2 inches
therefore the length of y is 6664.2 inches
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How do you graph log functions with transformations?
required transformed function will be y = parent function+5⇒y=logx+5.
Since, given function y= logx
According to the graph, the transformed function is getting after shifting the function by 5 unit upward.
Thus, transformed function must be equals to parent function+5.
Therefore, required transformed function will be y = parent function+5⇒y=logx+5.
How to do logarithmic transformations?
Image result for How do you graph log functions with transformations?
Recall the general form of a logarithmic function is: f ( x ) = k + a log b where a, b, k, and h are real numbers such that b is a positive number ≠ 1, and x - h > 0. A logarithmic function is transformed into the equation: f ( x ) = 4 + 3 log
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Describe the likehood of the event given its probability .you make a free throw 70 percent of the time
IMPOSSIBLE
LIKLEY
POSSIBLE
Answer:
possible
Step-by-step explanation:
the question asks what is the likelyhood of making a free throw 70% of the time, whcih is possible beacuase you can make it, you can also miss it. there are several professional basketball players that have that percentage. but it is not likely that someone could just shoot 70 percent. so i would stick with possible
Which of the following have one solution, solve for brainly :P
Answer:
C only
Step-by-step explanation:
C is the only one which is correct as in all the other options x is cancelled out as both sides have 2x which gets cancelled leaving the equation with something like:
31=31 which is true but it's not considered a "solution" and as A, B and D end up with stuff like this they are all not 1 solution. For c, as c doesn't have a power on top of it, like [tex]x^{2}[/tex] does, its equation can only have 1 solution (or in some cases 0 solutions but this isn't one of them) so it is the correct answer.
A. all real numbers
B. x = 0
C. all real numbers
D. no solutions
the explanation is in imagine
there can be more than one answer
The spring constant is 30 N/m and the stretch when the 420 N force is applied is 14 cm.
What is spring force?The force needed or applied to compress or extend a spring on any attached object is known as the spring force.
A spring exerts an equal and opposite force on an object when the object exerts a force on it. It always takes action to get mass back to where it should be for equilibrium.
Given that when 180 N force is applied the spring stretched by 6 cm. The spring stretch when the 420 N force is applied is calculated as,
First, calculate the spring constant,
F = kx
180 = k x 6
k = 30 N / m
Calculate the deformation,
x = F / k
x = 420 / 30
x = 14 cm
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Find the measure of angle 1
A. 90 degrees
B. 30 degrees
C. 120 degrees
D. 60 degrees
Answer:
120
Step-by-step explanation:
So there are two ways of doing this.
The easiest, we know that the biggest of 30, 60 and 90 degrees is 90.
We know that a right angle is 90 degrees.
The 1 angle is clearly bigger than 90 degrees.
So it must be 120.
The actual way of solving:
The mini trinalge that has the 90 degree angle in it is a 30, 60, 90 trinalge.
We know that the 3 is the 30 degree angle on the trinalge.
We know that the angle on the opposite side of the dotted line must be 30 as well.
Since thats 30, the opposite side of the dotted part of thr traingle must be 30 as well.
This means that the other two angles are 60 which you subtract from 180
This leaves 120
So 120 degree angle is the answer
Sorry if this is confusing I hope this helps!
pls help this is kinda hard and it’s due in 45 minutes
Answer:
16.8 inches
Step-by-step explanation:
Perimeter =2(length+width) so 2·(5.6+2.8)≈16.8
Answer and Step-by-step explanation:
First, write down what we know.
Length of Rectangle = [tex]5\frac{3}{5}[/tex]
Width = [tex]\frac{Length}{2}[/tex]
2 ways to solve this:
1st way:
If we convert the fraction into a decimal, then we can easily find the width.
[tex]5\frac{3}{5}[/tex] can be solved by making the mixed number into a improper fraction.
Multiply the denominator (5) by the whole number (5), then add the numerator (3). This number is 28. Replace the 3 with the 28, and now we have [tex]\frac{28}{5}[/tex]. This number is equal to 5.6.
Now, we have to divide this number.
5.6 divided by 2 is equal to 2.8.
So, the width is equal to 2.8.
Now, we add the width and length together twice to get the perimeter of the rectangle.
2.8 + 2.8 + 5.6 + 5.6 = 16.8
So, the answer is A. 16.8 inches.
2nd way:
Since we know that the width is half of the length, we can just add the length by itself 3 times, since two of the widths combined will equal the length.
5.6 + 5.6 + 5.6 = 16.8
So, the answer is A. 16.8 inches.
#TeamTrees #PAW (Plant And Water)
If initial population of any place is Po,
population after T years is Pr and annual rate of
population growth is 2% per annum then
express P in terms of Po, T and Q.
Answer:
please join my meeting
Start with a circle whose equation is (x-a)^2 + (y-b)^2=r. Dilate that circle by a scale factor of 1/r with center of dilation (a,b). What does this transformation demonstrate
The dilation of the circle with a scale factor 1/r and center at (a,b) will transform the circle into a point at (a,b).
A dilation is a transformation that results in an image with the same shape as the original but a different size. • An enlargement is a dilation that produces a larger image. • A reduction is a dilation that produces a smaller image.
To solve this we will use the transformation formula for a dilation with center (a,b) and scale factor
k, (x,y) --> (a + k(x-a), b + k(y-b)).
Substituting in our values, we get
(x,y) --> (a + (1/r)(x-a), b + (1/r)(y-b)).
Setting this equal to (a,b), we get
(a + (1/r)(x-a) = a, b + (1/r)(y-b) = b).
Solving for x and y gives x = a and y = b. Therefore, the dilation of the circle with a scale factor of 1/r and center at (a,b) will transform the circle into a point at (a,b).
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A number, X, rounded to 1 decimal place is 3,7
Write down the error interval for x,
Answer:
The error interval for x is:
[3.65,3.74]
Step-by-step explanation:
The number after rounding off is obtained as:
3.7
We know that any of the number below on rounding off the number to the first decimal place will result in 3.7:
3.65 3.66 3.67 3.68 3.69 3.70 3.71 3.72 3.73 3.74
( Because if we have to round off a number present in decimals to n place then if there is a number greater than or equal to 5 at n+1 place then it will result to the one higher digit at nth place on rounding off and won't change the digit if it less than 5 )
Hence, the error interval is:
[3.65,3.74]
For a model of a building, a sculptor uses the scale of 3 inches represents 15 feet. The sculptor creates a model of an airplane that is 5 inches long. How long was the original airplane?
A 25 feet
B 30 feet
C 50 feet
D 75 feet
Answer:
A) 25 feet
Step-by-step explanation:
A sculptor uses the scale of 3 inches to represent 15 feet. Find the amount of feet represented by 1 inch by simply dividing 15 with 3:
15/3 = 5
1 inch represents 5 feet.
Next, it is given that the model of the airplane is 5 inches long. Multiply 5 inches with 5 feet to get the total measurement of the original airplane:
5 x 5 = 25 feet.
5 inches represent 25 feet.
A) 25 feet is our answer.
~
The ratio of the areas of two rectangles is 2 to 3. If the area of the larger rectangle is 600 square feet, what is the area of the smaller rectangle?
Answer:
400sq.ft
Step-by-step explanation:
Let Area of smaller rectangle be x
➝2:3=x:600
➝2/3=x/600
➝2×600=3x
➝3x=1200
➝x=1200/3
➝x=400sq.ft
find the equation of a line perpendicular to 2y=6-2x that passes through point (6,-7)
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]2y=6-2x\implies 2y=-2x+6\implies y=\cfrac{-2x+6}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -1 \implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1} \implies 1}}[/tex]
so we're really looking for the equation of a line whose slope is 1 and it passes through (6 , -7)
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{ 1}(x-\stackrel{x_1}{6}) \implies y +7= 1 (x -6) \\\\\\ y+7=x-6\implies {\Large \begin{array}{llll} y=x-13 \end{array}}[/tex]
5. An adult movie ticket costs $7.50, but a child's ticket is half that price. If a mom takes her two children to see a movie, what will her total cost for admission be?
Answer:
it will be 15 dollars kkkkkkkkkkkkk
Answer:
$15.00
Step-by-step explanation:
An adult ticket is $7.50
A child ticket is half the Price.
So a mom takes Two kids, Which means 7.50/2 which is then 3.75
So for 1 kid— 3.75
Adult - 7.50
The mom takes two kids.
Multiply 3.75 and 2.
You get 7.50.
Add the adult and child tickets, and you would then get $ 15.00
Have wonderful Day!
A rental car company charges $50 per day to rent a car and $0.15 for every mile driven. Mei Mei wants to rent a car, knowing that:
She plans to drive 100 miles.
She has at most $130 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Mei Mei can afford to rent while staying within her budget.
Answer:
50x + 19.5 ≤ 130
Step-by-step explanation:
X is the number of days Mei Mei plans to rent the car
For driving 100 miles, Mei Mei will be charged $19.50. [130 times 0.15]
Mei Mei has a maximum budget of $130, so the inequality will have a less than or equal to sign
50x + 19.5 ≤ 130
Solve for x in this triangle. Round your answer to the nearest tenth. 37⁰ X 14
Answer:
x ≈ 18.6
Step-by-step explanation:
using the tangent ratio in the right triangle
tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex] ( multiply both sides by x )
x × tan37° = 14 ( divide both sides by tan37° )
x = [tex]\frac{14}{tan37}[/tex] ≈ 18.6 ( to the nearest tenth )
What it means when a function and its inverse is the same?
Step-by-step explanation:
it means that the graph of the function above y=x must be the mirrored image of the graph under y=x.
it means that the function applied to itself gives x.
f(f(x)) = x
e.g.
f(x) = 5 - x
f(f(x)) = 5 - (5 - x) = 5 - 5 + x = x
so, this f(x) is its own inverse.