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!
What number would you multiply the second equation by in order to eliminate the x terms when adding the first equation?
Multiplying the second equation by -4 eliminates the x terms when adding the first equation.The second equation is 4x + 5y = -8
In order to eliminate the x terms when adding the first equation, you need to multiply the second equation by -4. The formula and calculation steps are as follows:
Formula:
Equation 1 + (-4 x Equation 2)
4x + 5y = -8
-4(4x + 5y) = -4(-8)
-16x -20y = 32
Adding the two equations together gives:
0x + 25y = 24
Therefore, multiplying the second equation by -4 eliminates the x terms when adding the first equation.
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hey i need help a sap
Answer:
1. f(x)=1-1/2
4. y=10x
5. yes
Step-by-step explanation:
1)
f(x) = 4(2 + 3x) + 3 is a linear function.
2)
The slope of the function is 6.
3)
The linear function is (1/2)x - 4.
4)
y = x² + 2 is not a linear function.
5)
No, it is not a linear function.
6)
Graph D does not represent a linear function.
7)
Graph B does not represent a linear function.
8)
Table D is a linear function.
9)
Table B is not a linear function.
10)
3x + 2y = 6 is a linear function.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
1)
f(x) = 4(2 + 3x) + 3
f(x) = (1/2)x² - 5
f(x)= 5 - x²
f(x) = 1 - 1/x
The graph of each function is given below.
The red line in the graph represents f(x) = 4(2 + 3x) + 3.
This is a straight line which means it is a linear function.
2)
f(x) = 2(3x - 7)
f(x) = 6x - 14
It is in the form of y = mx + c where m is the slope.
So,
m = 6
3)
f(x) = (1/2)x - 4
f(x) = x³ - 2
The graph is given below.
The red line represents f(x) = (1/2)x - 4.
This is a linear function.
4)
y = 3x + 12
y = x² + 2
y = 10x
y = 9
The graph is shown below.
The green curve is y = x² + 2.
This is not a linear function.
5)
y = 2x² - 6
This is not a linear function because we have x².
The graph is given below.
6)
Graph D represents a non-linear function.
7)
Graph B represents a non-linear function.
8)
If the rate of change between two (x, y) from the graph is the same then it is a linear function.
Table D has the same rate of change.
Rate of change = (y(2) - y(1)) / (x(2) - x(1))
= (4 - 7) / (-1 + 2)
= -3/1
= -3
Table D is a linear function.
9)
If the rate of change between two (x, y) from the graph is the same then it is a linear function.
Table B does not have the same rate of change.
Rate of change = (y(2) - y(1)) / (x(2) - x(1))
Table B is not a linear function.
10)
The green line on the graph represents a straight line.
The green line is a linear function.
The green line is 3x + 2y = 6.
Thus,
The answers are given above.
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write down the value of 10^-3
Answer:
value of 10^-3= 0.001
hope it helps.
Answer:
Step-by-step explanation:
10^(-3) is equivalent to
1
--------- which in turn is equivalent to 1/1000, or 0.001.
10^3
PLS HELP MY WHOLE GRADE IS DEPENDING ON THIS QUESTION
A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the
wall is 6 feet.
What is the area A of the table after it is cut in half?
Give your answer in terms of pi.
А=____feet2
Answer:
4.5π ft.^2
Step-by-step explanation:
Please see the attached image.
The area of a circle is the radius of the circle squared times pi.
The diameter of the round top is 6.
The radius of a circle is equal to half the diameter, so 6/2=3.
Knowing the radius of the table is 3, we can find the area by doing
3^2π=9π
9π is the area of the table, so to get half of that, simply divide by 2.
9π/2=4.5π
Answer: 4.5π ft.^2
Answer:
14.1 ft^2 or In terms of pi: A = (1/2)(π)(3 ft)^2 = (9/2)π ft%2
Step-by-step explanation:
We're talking about a semicircle here. "semi-" indicates "half."
Here the cut edge along the wall is 6 ft, so the radius of the semicircle is half that, or 3 ft.
The area of the semicircle is A = (1/2)(pi)(3 ft)^2 = 14.1 ft^2
In terms of pi: A = (1/2)(π)(3 ft)^2 = (9/2)π ft%2
In the triangle below, with right angle R, suppose that m is Angle Q=(5x-13) and m is Angle S=(4x-5) Find the degree measure of each angle in the triangle.
Answer:
Degree measure of each angle is 90⁰, 47⁰ and 43⁰
Step-by-step explanation:
since the triangle is right angled, we assume that Q and S are the other angles of this triangle R
Thus using the concept that angles inside a triangle add up to 180⁰ and we already have one angle as 90⁰( since the triangle is right angled). we therefore know that Q + S = 90⁰
5x - 13 + 4x - 5 = 90⁰
9x = 108
x = 12
We now replace x in Q and S to get the angles
Q = 5(12) -13
= 47⁰
S = 4(12) - 5
= 43⁰
Please help! No links please! Will give brainliest to correct person!!
Answer:
About 50.14 Centimeters
Step-by-step explanation:
The formula for the volume of a cylinder is:
[tex]\pi(r^2)h[/tex]
Now, let's plug in the values. (We'll use 3.14 for pi.)
[tex]3.14(r^2)76 = 600,000[/tex]
All we do now, is solve for r. Divide 76 on both sides...
[tex]3.14(r^2) = 7894.74[/tex]
Divide 3.14 on both sides...
[tex]r^2 = 2514.25[/tex]
Lastly, find the square root on both sides.
[tex]\sqrt{r^2} = \sqrt{2514.25}[/tex]
[tex]r = 50.14[/tex]
Therefore, the r, or the radius, is around 50.14 centimeters. Hope this helps!
The blue shape is a dilation of the black shape. What is the scale factor of the dilation?
Answer:
x and y values are doubled; scale factor is 2
Step-by-step explanation:
(4,5) becomes (8,10)
(2,5) becomes (4,10)
(1,4) becomes (2,8)
Write the terms in standard form. Then state the degree of the polynomial and the leading coefficient (LC).
On solving the provided question, we can say that - the answer of the following sequence 1.9, 3x , 8x will be 13.78x
what is a sequence?A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms). The length of the sequence refers to the total, potentially unlimited number of ordered items. arranging two or more objects in a logical sequence. Chronological.
sequence 1.9, 3x , 8x
answer is = 13.78x
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What kind of triangle has 65 65 50?
Isosceles Triangle has 50°, 65°, 65°
An isosceles triangle is a triangle that has two sides of equal length. The two equal sides are called the legs and the third side is called the base of the triangle.
Properties of Isosceles Triangle:
The two equal sides of an isosceles triangle are known as ‘legs’, and the angle between them is called the vertex angle or apex angle.In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.The isosceles triangle has three acute angles, meaning that the angles are less than 90°.The sum of three angles of an isosceles triangle is always 180°. The side opposite the vertex angle is called the base and the base angles are equal, and perpendicular to the apex angle bisecting the base and the apex angle.To know more about Isosceles Triangle:
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HELp meh with this question it very hard
Answer:
AB = 7 cmStep-by-step explanation:
Use the law of cosines to find the side AB:
[tex]AB = \sqrt{(x + 3)^2+x^2-2x(x+3)cos (60)} =[/tex] [tex]\sqrt{x^2+6x+9+x^2-x^2-3x} = \sqrt{x^2+3x+9}[/tex]Use the Heron's area formula next:
[tex]A = \sqrt{s(s - a)(s-b)(s-c)}[/tex], where s- semi perimeters = 1/2[x + x + 3 + [tex]\sqrt{x^2+3x+9}[/tex]) = 1/2 (2x + 3 + [tex]\sqrt{x^2+3x+9}[/tex])s - a = 1/2 (2x + 3 + [tex]\sqrt{x^2+3x+9}[/tex] - 2x - 6) = 1/2 ([tex]\sqrt{x^2+3x+9 }[/tex] - 3)s - b = 1/2 (2x + 3 + [tex]\sqrt{x^2+3x+9}[/tex] - 2x) = 1/2 ([tex]\sqrt{x^2+3x+9}[/tex] + 3)s - c = 1/2 (2x + 3 + [tex]\sqrt{x^2+3x+9}[/tex] - 2[tex]\sqrt{x^2+3x+9}[/tex]) = 1/2 (2x + 3 - [tex]\sqrt{x^2+3x+9}[/tex])Now
(s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)Next
A² = 3/16(x² + 3x)(x² + 3x)300 = 3/16(x² + 3x)²1600 = (x² + 3x)²x² + 3x = 40Substitute this into the first equation:
[tex]AB = \sqrt{40 + 9} = 7 cm[/tex]Answer:
AB = 7 cm
Step-by-step explanation:
Sine Rule for Area
[tex]\sf Area =\dfrac{1}{2}ab \sin C[/tex]
where:
a, b and c are the sides opposite angles A, B and Ca and b are the sides and C is the included angleGiven:
Area = √(300) cm²a = (x + 3) cmb = x cmC = 60°Substitute the given values into the formula and solve for x:
[tex]\begin{aligned} \sf Area & = \dfrac{1}{2}ab \sin C \\\\\implies \sqrt{300} & = \dfrac{1}{2}(x+3)x \sin 60^{\circ}\\\\\sqrt{300} & = \dfrac{\sqrt{3}}{4}(x+3)x\\\\\dfrac{4\sqrt{300}}{\sqrt{3}} & = x^2+3x\\\\40 & = x^2+3x\\\\x^2+3x-40 & = 0\\\\ (x-5)(x+8)& = 0\\\\ \implies x & = 5, -8\end{aligned}[/tex]
As length is positive, x = 5 only.
Substitute the found value of x into the expressions for the side lengths:
a = 5 + 3 = 8 cmb = 5 cmCosine rule
[tex]c^2=a^2+b^2-2ab \cos C[/tex]
(where a, b and c are the sides and C is the angle opposite side c)
Substitute the found values into the formula and solve for AB:
[tex]\begin{aligned}c^2 & =a^2+b^2-2ab \cos C\\\implies AB^2 & =8^2+5^2-2(8)(5) \cos 60^{\circ}\\AB^2 & =89-40\\AB^2 & =49\\AB & =\sqrt{49}\\AB & = \pm 7\end{aligned}[/tex]
As length is positive, AB = 7 cm.
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x=
Length=
Width=
WILL GIVE BRAINLIEST + 5 star
Answer:
x = 20
Length = 20ft
Width = 12ft
Step-by-step explanation:
A = 240
x^2 - 8x = 240
x^2 - 8x - 240 = 0
x^2 - 20x + 12x - 240 = 0
x(x-20) + 12(x-20) = 0
(x+12)(x-20) = 0
x = 20
x = -12 (which we discard since x is a length)
So the dimensions are 20ft and 20-8 = 12ft
(10 POINTS) ATTENTION! PLEASE HELP! WILL GIVE BRANLIEST TO ACCURATE ANSWER
Answer:
c. 9ft
Step-by-step explanation:
[tex]x^{2} + 12^{2} = 15^{2}[/tex]
[tex]x^{2}[/tex] + 144 = 225
[tex]x^{2}[/tex] = 81
x = 9
I just need somebody to explain how to do it step by step
Given m||n, find the value of x.
Answer:
x = 102°
Reason
They're both Alternate Exterior angles
ALTERNATE EXTERIOR ANGLES ARE EQUAL.
help me find the measure
Answer:
the value of x is 40 degree and the value of (2x+11) is 91 degree.
Step-by-step explanation:
hope it helps you.
Select ALL the correct answers.
For AABC, which two relationships are true?
0
0
sin (0) = AE =
cos (0)
cos (8) = A
cos (6)
cos (6)
ACC = sin (90 - 0)
sin (90 - 0)
sin (0)
cos (906)
cos (90 - 0)
=
=
BOCC
sin
(0) = C
sin (0) = A
=
=
=
=
B
(90-8)
Therefore , the solution ot the given problem of trigonometry comes out to be Option (A) and (F) are the correct answers since sin = BC/AC = cos(90 - ∅), and cos = AB/AC = sin(90 - ∅).
Describe the trigonometric function.The right triangle's angle serves as the domain input value for the six basic trigonometric operations, which produce a range of numbers as their results.Understanding the trigonometric functions of the four quadrants' graphs, domains, differentiation, and integration will be achievable.
Here,
Sinx = perp./hypo.
Cosx equals base/hypo.
So,
Sin = B/C
A= cos(90 -∅ ) = BC/AC
So,
Cos(90 -∅ ) = Sin(BC/AC)
And,
cos = AC/AB
AB/AC = sin(90 -∅ )
So,
cos AB/AC = sin (90 -∅ )
Therefore , the solution ot the given problem of trigonometry comes out to be Option (A) and (F) are the correct answers since sin = BC/AC = cos(90 -∅ ), and cos = AB/AC = sin(90 - ∅).
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Can someone tell me what this is?
Answer:
there's one solution bc the lines have one point in common
For the initial 90 miles of a flight, the pilot heads 8° off course in order to avoid a storm. The pilot then changes direction to head toward the destination for the remainder of the flight, making a 157° angle to the first flight course. Determine the total distance of the flight
A. 48.4
B. 135.9
C. 138.4
D. 228.4
In the above scenario, note that the total distance of the flight is given as: 48.4 miles (approximately). This is solved using the law of Sines to find x.
What is the law of Sines?The connection between the sides and angles of non-right (oblique) triangles is defined by the Law of Sines. Simply put, it asserts that the ratio of the length of a triangle's side to the sine of the angle opposite that side is the same for all triangle sides and angles.
Thus, with regard to the problem modeled in the attached triangle, because two angles are given, the missing angle is 180° − (157° + 8°) or 15°. Use the Law of Sines to find x.
Using the law of ins we can state that:
Sin 8°/x = sin 15°/90
90 (Sin 8°) /x = Sin 15°
90 Sin 8° = x Sin 15°
90 Sin 8° / Sin 15° = x
90 (0.13917310096)/ 0.2588190451 = x
Thus,
x = 48.3951213156
x [tex]\approx[/tex] 48.4
Thus, the distance of the flight is approximately 48.4 miles.
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I'll mark you the brainliest
plzzzz help asap❤❤
if x+y+z=1 and 1/x+1/y+1/z=0
what is x²+y²+z²=?
A) 0
B) 1
C) 2
D) 3
and please tell me why?
if f(x)= mx+ c , f (1)=5 and f(-2)=-1
Answer:
[tex]y = 2x + 3[/tex]
Step-by-step explanation:
We can find the slope.
[tex] \frac{ 5 + 1}{1 + 2 } = 2[/tex]
so m is 2
[tex]y = 2x + c[/tex]
Plug one the equations in to find c.
[tex] - 1 = 2( - 2) + c[/tex]
[tex] - 1 = - 4 + c[/tex]
[tex]3 = c[/tex]
so the equation is
[tex]y = 2x + 3[/tex]
This question has two parts. First, answer Part A. Then answer part B. Part A Based on the text what inference can be made about laughter? Part B Drag "yes" or "no" to each box to show whether or not the piece of evidence supports the answer to part A
Part A: Based on the text, an inference that can be made about laughter is that it can be a positive response to a situation or a way of expressing joy.
What is inference?Inference is the process of drawing conclusions from given facts or evidence. It involves making a logical guess or assumption based on the available information. Inference requires the use of critical thinking to draw conclusions that are most likely to be accurate.
Part B:
Yes - Laughter is described as a response to a situation and can be a way of expressing joy.
No - There is no evidence that laughter is a negative response to a situation.
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1. Combine the like like terms
14 + 8x + 2y -5x - 2
Answer:
12 + 3x + 2y
Step-by-step explanation:
14 + 8x + 2y -5x - 2
14 + -2 + 8x -5x + 2y
12 + 3x + 2y
Answer:
3x + 2y + 12
Step-by-step explanation:
In the photo.
Find the area of the shaded region in terms of pi.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let’s find the area of the circle.
A = 3.14(7)^2 = 153.86
Now the area of the square:
14•14=196
Now we find the area of the shaded region:
196 - 153.86 = 42.14
the shaded region is 42.14 cm
(MATH PROBLEM) v + w at v = 2, w = 5
pls helpp me
uwu
Answer:
7
Step-by-step explanation:
hope this helps:))))))
A waiter in a restaurant has eight booths in his station. How many different arrangements are possible for the hostess to seat customers at the waiter’s booths if order is important?
Answer:
8 seats
Step-by-step explanation:
n = 8 ---booths
r = 1 --- hostess
Order is required
Important Order? We solve using permutation.
nPr = n!/(n - r)!
So we have:
8p1 = 8!/(8 - 1)!
IF we do the math correctly, we get this:
8p1 = 8/7!
Finally let's expand to come up with the solution.
8p1 = 8 x 7/7
8p1 = 8
So the answer is 8!
I hope this helps! Have a good day (PLS GIVE BRAINLIEST)
There are 8 types of different arrangements possible for the hostess to seat customers at the waiter’s booths if order is important.
What is Permutation and Combination ?
The various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.
Total number of booths = 8
To determine we will use the generalized expression
How many ways can you arrange 'r' from a set of 'n' if the order matters
P(n,r) = n! / (n-r)!
P(8,1) = 8!/ (8-1)!
= 8!/7!
= 8
So there are 8 types of different arrangements possible for the hostess to seat customers at the waiter’s booths if order is important.
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Use complete sentences to explain why .
Answer:
answer what
Step-by-step explanation:
Sienna goes to the mall with $56. She spends $13 on food and $24 on a book. How much money does Sienna have left?
Answer: 19
Step-by-step explanation:
56-13=43
43-24=19
Answer: 19
Step-by-step explanation: 13 + 24 = 37
so (56 - 37 = 19)
The staff at Larry's Lawns spends their workday mowing lawns, raking, and bagging leaves. They work an average of six hours per day. The mowing and raking typically takes four hours and an average of twenty-four bags of leaves are filled. Assuming the bags are filled at a constant rate, what is the average time it takes to fill one bag of leaves
Assuming the bags are filled at a constant rate, the average time it takes to fill one bag of leaves is 5 minutes.
To calculate the average time it takes to fill one bag of leaves, we need to know the total amount of time spent filling bags and divide that by the number of bags filled.
First, we know that the staff works an average of six hours per day. Since mowing and raking typically take four hours, we can assume that the remaining two hours are spent filling bags.
To find out how long it takes to fill one bag, we divide the total time spent filling bags by the number of bags filled. In this case, it would be:
(2 hours) / (24 bags) = 0.083 hours (or 5 minutes)
So the average time it takes to fill one bag of leaves is 5 minutes.
It's important to note that this is an average time and may not reflect the exact time it takes for each bag to be filled. Factors such as the size of the bag, the type of leaves being filled, and the skill level of the staff could all affect the time it takes to fill a bag.
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Hint: your answer will be a fraction or decimal. ex: 3/5 or 0.6 *
Find the probability that a point chosen at random on the part of the number line shown will lie
between points B and C.
On solving the provided question we can say that - the probability of the event will be there are two red sides, thus multiplying 16.6667 by two results in 33.3333%.
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
Each side would be 50%, and if one side were divided among three people, it would equal 16.6667 per person.
Given that there are two red sides, you can multiply 16.6667 by 2 to get 33.3333%.
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For the rhombus below, find the measures
Angle 1 and Angle 4 are alternate internal angles, Angle 1 also equals 51.Angles 1 and 2 of the rhombus are bisector by 51 and 2, respectively.
what is rhombus ?A parallelogram has a unique variation known as a rhombus. A rhombus has opposing sides that are parallel and opposing angles that are equal. A rhombus also has equal-length sides and diagonals that are at right angles to one another. The term "rhombus" can also refer to a diamond or rhombus. A rhombus has equal opposite angles. At a 90° angle, the diagonals split in half. 180 degrees is the sum of adjacent angles.
given
There is a line that passes through the parallel line; the alternate interior angles are 3 and 39.
The alternative interior angles are similar, hence Angle 3 = 39.
Since the upper left triangle is a triangle, angles 3, 4, and the center angle all add up to 180 degrees. The angle in the middle is 90 degrees. hence, we may locate angle 4.
angle 4=51.
Since Angle 1 and Angle 4 are alternate internal angles, Angle 1 also equals 51.Angles 1 and 2 of the rhombus are bisector by 51 and 2, respectively.
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Please help!!!!!!!!!!!
Answer:
9/4 *(x-2)
Step-by-step explanation:
Replace xa and y in the given function then solve for y