2. Define any variables and tell the slope and y-intercept of the situation. Then, write an equation to represent
the situation.
An electrician charges $75 for a service call and $25 for each hour they are on the job. If the electrician spends x hours at a house, what will the total charge, C(x) be?
Answer:
x=number of hours
c(x)= 25x+75
y-intercept= (0, 75)
Equation= y=25x+75
Slope= 25
Step-by-step explanation:
75 would be the y intercept(constant) because that's the initial charge for a call.
25 would be the coefficient for x because the hour you spend on the call varies.
The slope is how steep the line is, in this case it is 25.
x is the number of hours because that is the time that varies.
( give me your cash app and I will pay you if you get this question right)(I will mark brainliest answer)Write the phrase as an expression. Then evaluate the expression when x=2.
8 more than a number x
An expression is
The value of the expression is
Answer:
Yuh, I don't have cash app, so you get a freebie on this one :)
Step-by-step explanation:
So the first one is:
x + 8
and the second one is:
10
The first one is asking for an expression that is 8 more than x. The word more always implies adding. So the expression would be : x + 8
The second one just wants you to substitute 2 into the equation you made in the first one. So 2 + 8 is 10
The top of a 230 foot vertical tower is to be anchored by cables that make an angle with a measure of 50 degrees with the ground.
How long must each cable be? ____ feet
How far from the base of the tower should the anchors be placed? _____ feet
9514 1404 393
Answer:
cable length: 300.2 ftanchor distance: 193.0 ftStep-by-step explanation:
The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.
Sin = Opposite/Hypotenuse
sin(50°) = (230 ft)/h
h = (230 ft)/sin(50°) ≈ 300.24 ft
The length of the cable must be about 300.2 feet.
__
Tan = Opposite/Adjacent
tan(50°) = (230 ft)/d
d = (230 ft)/tan(50°) ≈ 192.99 ft
The cable must be anchored about 193.0 ft from the tower.
The front face of Amit's house has an area of 275 square feet. If the base is 55 feet long, what is the height? A = 1/2 bh
Answer:
5 feet
Step-by-step explanation:
Divide the area by the base to get 5 feet tall
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
1)
15 ft
12 ft
18 ft
A) 116.9 ft2
C) 216 ft?
E) 54 ft
B) 115.2 ft2
D) 108 ft2
Answer:
D
Step-by-step explanation:
Which of the following are possible measures for the angle shown? Select all that apply.
Answer:
-510 degrees and -210 degrees :)
Step-by-step explanation:
An angle is a figure created by two rays. The measure of the angle can be written as 150° or -210°.
What is an angle?An angle is a figure created by two rays, known as the sides of the angle, that have a common terminus, known as the vertex of the angle. Angles created by two rays lie in the plane containing the beams.
The measure of the angle measured from the positive x-axis in an anticlockwise direction will be,
[tex]\theta = 180^o-30^o = 150^o\\\\[/tex]
The measure of the angle measured from the positive x-axis in clockwise direction will be,
[tex]\theta = 180^o+30^o = -210^o[/tex]
Hence, the measure of the angle can be written as 150° or -210°.
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PLEASE HELP
WILL MARK BRAINLIEST (not if you get it wrong)
Answer:
ŕtyytuu6544789mz.8866790977
determine the intercepts of the line
x intercepts (__ , __)
y intercepts (__ , __)
A teacher buys a fruit cup for $1.50 and a calculator for $13.75 for each student in their classroom. The teacher spends a total of $579.50 for all of the fruit cups and calculators.
How many students are in the teacher's class? Please help I need to finish this ASAP
Answer:
1.50 + 13.75 = 15.25
15.25 x 579.50 = 38
ok so basically you take the total and divide it by the total of one student!! :)
answer is: 38
If we use 3 eggs in a 15 cm mold-
How many eggs do we use in a 25 cm mold?
Draw four more rectangles with areas equal to 24cm².
A Random survey of 25 students in each grade level of school was conducted to determine whether the students preferred to have less time between classes. The results are shown in the table
Answer:it is b
Step-by-step explanation:
Because I know
The Medassist Pharmaceutical Company uses a machine to pour cold medicine into bottles in such a way that the standard deviation of the weights is 0.15 oz. A new machine is tested on 71 bottles, and the standard deviation for this sample is 0.12 oz. The Dayton Machine Company, which manufactures the new machine, claims it fills the bottles with less variation. At the 0.05 significance level, test the claim made by the Dayton Machine Company.
Answer:
hello some part of your question is missing below is the missing part
If Dayton's machine is being used on a trial basis, should its purchase be considered? C.V.(S) = Test Statistic= P-Value= Decision: Conclusion:
answer :
i ) Cv(s) = 51.739
ii) T = 44.8
iii) p-value = 0.0082
iv) we do not fail to reject H0 ( since p-value < 0.05 )
v ) The new machine fills the bottles with a lesser variation
Step-by-step explanation:
we will test the hypothesis in regards to the standard deviation of the population
The hypothesis are
H0 : б = 0.15
Ha : б < 0.15
hence at ∝ = 0.05 where n = 71
i) critical point for left sided test = [tex]x^2_{1-\alpha } , n - 1[/tex]
hence Cv(s) = 51.739
ii) Test statistic = T = ( n - 1 ) s^2 / б^2
s = 0.12 , n = 71 , б = 0.15
hence T = 44.8
iii) P-value = p ( [tex]x^{2} _{70}[/tex] < 44.8 ) = 0.0082
iv ) Decision : we do not fail to reject H0 ( since p-value < 0.05 )
v ) conclusion : The new machine fills the bottles with a lesser variation
7. Which of the following best represents the area of the trapezoid below? 1 point
17 cm
7.2cm
6.5 cm
11 cm
A. 182 cm squared
B. 91 cm squared
C. 100.8 cm squared
D. 201.6 cm squared
Answer:
Step-by-step explanation:
182
Question 7 (3 points) Write this decimal division as equivalent whole number division. 19.05 ÷ 1.5 = ÷ Find the quotient.
Answer:
~12.7~
Step-by-step explanation:
hope this helps brainlest!
Helps, is it 64 111 or 90?
Answer:
111
Step-by-step explanation:
Which pair or pairs of polygons are congruent?
26
24-
22
20-
18
pair 1
16
pair 2
14
12-
10-
8
6-
4
pair 3
Pair 1 and pair 3 have congruent polygons.
What is a Congruent Polygon?A polygon is said to be congruent if it has the same shape, sides that are the same length, and internal angles as the polygon it is being compared to. The criterion is satisfied if all of the congruent shapes are of the same type.
Pair 1: The polygons are identical in size and shape.
Pair 2: The polygons are identical in shape but vary in size.
Three: The polygons are the same size and shape.
Pair 4: The polygons are identical in shape but vary in size.
Here, pair 1 and pair 3 have congruent polygons.
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PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
81 sq.metreStep-by-step explanation:
So this shape is made up two geometrical shapes - Triangle and a Rectangle.
So we have to find the area of Rectangle and Triangle
Area of Rectangle =
[tex]l \times b[/tex]
If we apply this to the given diagram we get,
[tex]10 \times 6 \\ = 60[/tex]
Now we have to find the area of Triangle
Area of Triangle =
[tex] \frac{1}{2} \times b \times h[/tex]
If we apply this to the given diagram we get,
[tex] \frac{1}{2} \times 7 \times 6 \\ = \frac{1}{2} \times 42 \\ = 21[/tex]
So the total area of the given figure is 60 + 21 which is equal to 81 sq.metre
Answer:
[tex]81m^{2}[/tex]
Step-by-step explanation:
Area of rectangle =Length × Width
so Area of rectangle = 10 × 6=60[tex]m^{2}[/tex]
The base of triangle equals to the width of rectangle so,
Area of triangle =[tex]\frac{1}{2}[/tex]×7×6=21[tex]m^{2}[/tex]
Then add the two areas together so , 60+21=81[tex]m^{2}[/tex]
Because it's two shapes
12 points and brainliest pls and thank you ! (no unknown links or ill report u and ur whole acc)
Answer:
13
cuz one of those square part = to 90 degrease
so 77 degrease is already shown so minus 90-77
and u get 14
Answer:
x = 13°
Step-by-step explanation:
Angles 77° and BGE are vertical and thus equal angles. Angle x and BGE are complementary angles; thus, x + 77° = 90°. Solving this for x, we get:
x = 13°
Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent EPA report notes that 70% of the island residents of Puerto Rico hae reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from San Juan, Puerto Rico, find the probability of each of the following events.a. All five qualify for the favorable rateb. At least four qualify for the favorable rates
Answer:
a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates
Step-by-step explanation:
For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.
This means that [tex]p = 0.7[/tex]
Five residential subscribers are randomly selected from San Juan, Puerto Rico
This means that [tex]n = 5[/tex]
a. All five qualify for the favorable rate
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. At least four qualify for the favorable rates
This is
[tex]P(X \geq 4) = P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
[tex]P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283[/tex]
0.5283 = 52.83% probability that at least four qualify for the favorable rates
What is the solution to the system of equations
Y=x+6
Y= -0.5x+3
Answer:
[tex]y = 4 \\ x = - 2[/tex]
ILL GIVE YOU BRAINLIEST PLEASE ANSWER
Answer:
376.9 ft²
Step-by-step explanation:
There you go the right answer
[tex] \binom{ \sin( \alpha) + \sin( 2alpha ) }{1 + \cos( \alpha ) + \cos(2 \alpha ) } = \tan( \alpha ) [/tex]
I see you use the TeX command "\binom" for binomial coefficient, but I think you meant to use "\frac" to write a fraction, namely,
[tex]\dfrac{\sin(\alpha)+\sin(2\alpha)}{1+\cos(\alpha)+\cos(2\alpha)}=\tan(\alpha)[/tex]
and I assume you're supposed to establish an identity.
Recall the double angle identities for cos and sin :
cos(2α) = cos²(α) - sin²(α) = 2 cos²(α) - 1
sin(2α) = 2 sin(α) cos(α)
Now expand the left side as
(sin(α) + sin(2α)) / (1 + cos(α) + cos(2α)) = (sin(α) + 2 sin(α) cos(α)) / (1 + cos(α) + 2 cos²(α) - 1)
Factor sin(α) from the numerator, and after canceling the 1s in the denominator and factor cos(α) :
… = [sin(α) (1 + 2 cos(α))] / [cos(α) (1 + 2 cos(α))]
Cancel the factors of 1 + 2 cos(α) :
… = sin(α) / cos(α)
which is equivalent to
… = tan(α)
by definition of tan.
convert 8^12 = 3x - 5 to corresponding logarithmic function.
If you could please explain how you got it thank you.
Answer:
Step-by-step explanation:
[tex]8^{12}=3x-5\quad :\quad x=\frac{8^{12}+5}{3}\quad \left(\mathrm{Decimal}:\quad x=22906492247\right)[/tex]
[tex]8^{12}=3x-5\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\3x-5+5=8^{12}+5\\Simplify\\\mathrm{Divide\:both\:sides\:by\:} 3\\\frac{3x}{3}=\frac{8^{12}}{3}+\frac{5}{3}\\\mathrm{Simplify}\\x=\frac{8^{12}+5}{3}[/tex]
Pls help me!!!!!!!!!!!!!! It’s due soon
Answer:
54 cm²
Step-by-step explanation:
Area of a trapezoid = 1/2(b1+b2)h
You add together the bottom and top bases, and then divide it in half to get the average. Then you multiply it by the height.
1/2(12+6)6
1/2(18)6
9x6
54 cm²
Which pairs of numbers are opposites? Check all that
apply.
0-6 and -6
0-2 and 2
4 and 4
O 8 and -8
10 and 0
Ur welcome
Answer:
–2 and 2 8 and –8 Which pairs of numbers are opposites? Check all that apply.
–6 and –6
–2 and 2
4 and 4
8 and –8
10 and 0
Step-by-step explanation:
12y - 2(5 - 3y) + 10
Answer:
the answer is 18y thank me later mate
Prism or pyramid pleaseeeeeeeee helpp
Answer:
Prism
Step-by-step explanation:
what is the surface area of this square pyramid with a base length of 4 centimeters and slant height of 9 centimeters? HELP PLEASE!!!!
Answer:
The surface area of a square pyramid = 1/2 * slant height * base perimeter + area of base
The slant height is 8 cm
The base perimeter is 4 * 5 cm = 20 cm
The area of the base is 5 cm * 5 cm = 25 cm**2
Plugging into the formula the area =
1/2 * 8 cm * 20 cm + 25 cm**2 =
4 cm * 20 cm + 25 cm**2 =
80 cm**2 + 25 cm**2 = 105 cm**2
The Surface Area of Pyramid is 105 cm².
What is Surface Area of Pyramid?If “P” is the base perimeter, “l” is the slant height, and “B” is the base area, then the total surface area of the regular pyramid formula is given by (½)Pl + B Square units.
Given:
slant height, l= 8 cm
So, the base Perimeter = 4 x 5
= 20 cm
Now, area of the base = 5 cm x 5 cm
= 25 cm²
Then, surface area of a square pyramid
= 1/2 x slant height x base perimeter + area of base
= 1/2 x 8 x 20 + 25
= 80 + 25
= 105 cm²
Hence, the Surface Area is 105 cm².
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