Answer:
3 hours was spent on labor
Step-by-step explanation:
Key skills needed: Creating an equation, Solving an equation
1) The total cost is 329.00 (or 329). The parts are 125.00 (or 125), and the labor is 68 per hour.
2) If we say h is the number of hours of labor, then we can create this equation --> [tex]68h[/tex] (or 68 multiplied by "h") 68h would be the cost of labor, and we need to find the number of hours (h) as a number.
3) We can create this equation --> [tex]329 = 125 + 68h[/tex]
--> This equation can be made as the total cost (329) is equal to the parts (125) and the labor (68h)
4) Subtract 125 from both sides to get 68h by itself
--> 329 - 125 = 204 so 204 = 68h
--> Divide by 68 on both sides (204 divided by 68 is 3)
--> This means that h is 3.
Therefore, the number of hours spent on labor is 3.
Hope you understood and have a nice day!! :D
if ⅚ of a certain number is -6⅔. what is the number?
The answer would be -3 4/3
Step-by-step explanation:
ok ok ok ok I'm very sorry if i get it wrong at least I tried on this app most of the people don't even do the homework they do it to cheat.
Answer:
Dan and Paul share some money in the ratio 13:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have
Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that 16% of all ticks in a certain location carry Lyme disease, 10% carry HGE, and 10% of the ticks that carry at least one of these diseases in fact carry both of them. If a randomly selected tick is found to have carried HGE, what is the probability that the selected tick is also a carrier of Lyme disease
Answer:
0.2364
Step-by-step explanation:
We will take
Lyme = L
HGE = H
P(L) = 16% = 0.16
P(H) = 10% = 0.10
P(L ∩ H) = 0.10 x p(L U H)
Using the addition theorem
P(L U H) = p(L) + P(H) - P(L ∩ H)
P(L U H) = 0.16 + 0.10 - 0.10 * p(L u H)
P(L U H) = 0.26 - 0.10p(L u H)
We collect like terms
P(L U H) + 0.10P(L U H) = 0.26
This can be rewritten as:
P(L U H)[1 +0.1] = 0.26
Then we have,
1.1p(L U H) = 0.26
We divide through by 1.1
P(L U H) = 0.26/1.1
= 0.2364
Therefore
P(L ∩ H) = 0.10 x 0.2364
The probability of tick also carrying lyme disease
P(L|H) = p(L ∩ H)/P(H)
= 0.1x0.2364/0.1
= 0.2364
Help please! This is timed!
Answer: 14
Step-by-step explanation:
think of it like a right triangle
a²+b²=c²
13²+5²=194
ladder length= √194= 13.92≈14
HELP FAST WILL MARK BRAINLYIST
Answer:
pq = st and qu = tr
the last option
Find the volume of this cylinder 9cm 20cm give answer to 1 decimal place
Answer:
the answer is 5,087 or 5,086.8
Answer:
5086.8
Step-by-step explanation:
PERIMETER OF A RECTANGLE
1.5m height
2.0m width
Answer:
7.0m
Step-by-step explanation:
=2h ×2w
=2(1.5m)+2(2.0m)
=7.0m
A yard is 3.1 meters long and 1.4 meters wide. What is the area of the yard? Group of answer choices
Answer:
The area of the yard is 4.34.
Step-by-step explanation:
a = l x w
a = 3.1 x 1.4
a = 4.34
The size of a cylinder changes with time. If r increases at the rate of 2 cm/min and h decreases at the rate of 7 cm/min, at what rate is the volume changing at the instant when r
Answer:
The volume of the cylinder with time is increasing approximately at a rate of 16.493 cubic centimeters per minute.
Step-by-step explanation:
The statement is incomplete: The size of a cylinder changes with time. If r increases at the rate of 2 cm/min and h decreases at the rate of 7 cm/min. ¿At what rate is the volume changing at the instant when r = 1 cm and h = 7 cm?
The volume of the cylinder ([tex]V[/tex]), measured in cubic centimeters, is expressed by the following formula:
[tex]V = \frac{\pi}{4}\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
The rate of change of the volume ([tex]\frac{dV}{dt}[/tex]), measured in cubic centimeters is obtained by deriving (1) in time:
[tex]\frac{dV}{dt} = \frac{\pi}{2} \cdot r\cdot h\cdot \frac{dr}{dt} + \frac{\pi}{4}\cdot r^{2}\cdot \frac{dh}{dt}[/tex] (2)
Where:
[tex]\frac{dr}{dt}[/tex] - Rate of change of the radius, measured in centimeters per minute.
[tex]\frac{dh}{dt}[/tex] - Rate of change of the height, measured in centimeters per minute.
If we know that [tex]r = 1\,cm[/tex], [tex]h = 7\,cm[/tex], [tex]\frac{dr}{dt} = 2\,\frac{cm}{min}[/tex] and [tex]\frac{dh}{dt} = -7\,\frac{cm}{min}[/tex], then the rate of change of the volume is:
[tex]\frac{dV}{dt} = \frac{\pi}{2}\cdot (1\,cm)\cdot (7\,cm)\cdot \left(2\,\frac{cm}{min} \right) + \frac{\pi}{4}\cdot (1\,cm)^{2}\cdot \left(-7\,\frac{cm}{min} \right)[/tex]
[tex]\frac{dV}{dt} \approx 16.493\,\frac{cm^{3}}{min}[/tex]
The volume of the cylinder with time is increasing approximately at a rate of 16.493 cubic centimeters per minute.
What is the area of the obtuse triangle below?
The area of the triangle is 126 square units. Then the correct option is D.
What is the area of the triangle?Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,
A = (1/2) × h·b
The height of the triangle will be 12 units and the base of the triangle will be 21 units. Then the area of the triangle is calculated as,
A = 1/2 x 21 x 12
A = 21 x 6
A = 126 square units
Thus, the correct option is D.
More about the area of the triangle link is given below.
https://brainly.com/question/19305981
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HURRY PLSS
Solve for x
x=1 or x= 12
Step-by-step explanation:
x²-13x+12=0
x²-12x-x+12=0
x(x-12)-1(x-12)=0
(x-1)(x-12)=0
x-1=0 or x-12=0
x=1 or x=12
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 150 engines and the mean pressure was 6.3 pounds/square inch (psi). Assume the population variance is 0.49. If the valve was designed to produce a mean pressure of 6.2 psi, is there sufficient evidence at the 0.05 level that the valve does not perform to the specifications?
Answer:
We are given that The valve was tested on 150 engines and the mean pressure was 7.7 lbs/square inch.
We are also given that the valve was designed to produce a mean pressure of 7.6 lbs/square inch
So,
Null hypothesis:
Alternate hypothesis :
Since n > 30 and population standard deviation is given
So, We will use z test
Formula :
Substitute the values
refer the z table for p value
so, p value is 0.9927
Since it is a two tailed test So, p = 2(1- 0.9927) = 0.0146
α = 0.1
p value< α
So, we reject null hypothesis
Hence There is sufficient evidence at the 0.1 level that the valve does not perform to the specifications
Step-by-step explanation:
No, there is insufficient evidence at the 0.02 level that the valve does not perform to the specifications.
Step-by-step explanation:
We are given that an engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 170 engines and the mean pressure was 7.5 pounds/square inch (psi). Assume the population variance is 0.36 and the valve was designed to produce a mean pressure of 7.4 psi.
We have to test if there sufficient evidence at the 0.02 level that the valve does not perform to the specifications.
Let, NULL HYPOTHESIS, H_0H
0
: \muμ = 7.4 psi {means that the valve perform to the specifications}
ALTERNATE HYPOTHESIS, H_1H
1
: \mu\neqμ
= 7.4 psi {means that the valve does not perform to the specifications}
The test statistics that will be used here is One-sample z-test;
T.S. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }
n
σ
X
ˉ
−μ
~ N(0,1)
where, \bar X
X
ˉ
= sample mean pressure = 7.5 psi
\sigmaσ = population standard deviation = \sqrt{Variance}
Variance
= \sqrt{0.36}
0.36
= 0.6
n = sample of engines = 170
So, test statistics = \frac{7.5-7.4}{\frac{0.6}{\sqrt{170} } }
170
0.6
7.5−7.4
= 2.173
Now, at 0.02 significance level z table gives critical value of 2.3263. Since our test statistics is less than the critical value of z so we have insufficient evidence to reject null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the valve perform to the specifications and there is not sufficient evidence at the 0.02 level that the valve does not perform to the specifications.
The tree in Mary’s backyard is 7.1 m high. How high is it in centimeters?
Answer:
701 cm
Step-by-step explanation:
cm =m * 100.0000
cm =7.1 * 100.0000
cm =710.0000
can somebody help me with these, i will mark you brainliest :)
Answer:
1). sin 30°=5/x
1/2=5/x
x=10
2)sin 30°=y/18
1/2=y/18
y=9°
cos 30°=x/18
√3/2=x/18
x=9√3
3) option D is correct
because cosine ratio is base / hypotenuse.
4) option c is correct.
Find the acute angle between the lines. Round your answer to the nearest degree. 9x − y = 4, 8x + y = 6
Answer:
[tex]\approx 13^\circ[/tex]
Step-by-step explanation:
Given two lines with the equations:
[tex]9x - y = 4\\ 8x + y = 6[/tex]
First of all, let us learn the formula for finding the angle between the two lines with given equations:
[tex]tan\theta = \dfrac{m_1-m_2}{1+m_1m_2}[/tex]
[tex]m_1, m_2[/tex] are the slopes of the two lines respectively.
Let us convert the given equation to point intercept form.
Point intercept form of a line is given as:
[tex]y = mx+c[/tex]
[tex]y = 9x-4\\y =-8x+6[/tex]
Comparing with slope intercept form, we get:
[tex]m_1 = 9\\m_2 = -8[/tex]
Using the above formula:
[tex]tan\theta =\dfrac{9 -(-8)}{1+9(-8)}\\\Rightarrow tan\theta = -\dfrac{17}{71}\\\Rightarrow \theta = -13.46^\circ\\[/tex]
Therefore, the acute angle between the two lines is [tex]\approx 13^\circ[/tex]
The acute angles between the equations is 13.46 degree.
To find the acute angles between the two equation, let's write out the individual slope of each equation.
Given Data
9x - y = 48x + y = 6Equation of lineThe given equations can be rearranged into equation of line.
[tex]9x-y=4\\ y=9x-4\\ slope=m_1=9[/tex]
The second equation can also be rearranged as and solving for the slope
[tex]8x+y=6\\ y=6-8x\\ y=-8x+6\\ slope = m_2 = -8[/tex]
Since we have the slopes of the two equation, we can now find the acute angle between them.
θ = [tex]tan^-^1[\frac{m_1-m_2}{1+m_1m_2}]\\ [/tex]
substituting the values and solving for the angle
[tex]x = tan^-^1[\frac{9-(-8)}{1+(9*-8)}]\\ x = tan^-^1[17/-71]\\ x=-13.46 = 13.46^0[/tex]
The acute angle between the equations is 13.46 degree
Learn more about acute angle in equations here;
https://brainly.com/question/6979153
1. Solve using polynomial long division x? - 4x² + 2x + 5 Divide: X-2
Solve log x = 2 by changing it to exponential form.
a. X = -20
C. X=20
B x=10^2
D x=2^10
Answer:
Option B
Step-by-step explanation:
log x=2
x = 10^2
Therefore, the exponential form is the one in option B
Answer:
B
Step-by-step explanation:
Convert to Exponential Form log of x=-2. log(x)=−2 log ( x ) = - 2. For logarithmic equations, logb(x)=y log b ( x ) = y is equivalent to by=x b y = x such that x>0 x
Which pair of sides in this shape are parallel? R S P T RS and ST RS and PT QR and QP QR and ST
Answer:
RS and PT
Step-by-step explanation:
Judging by looks, RS and PT are going the exact same direction, and look like they don't touch. Also, if RSTP is a square, then those two are definitely parallel.
How can these fractions be rewritten so they can be added together?
2
3
+
3
12
Answer:
8/12 + 3/12
Step-by-step explanation: multiply 2 and 3 by 4 to add these two fractions correctly.
Please I really need help!
Answer:
26 if we not adding then -12
Step-by-step explanation:
history on our 50% of 32 less than a hundred greater than 100 but less than 150 or greater than 150
Answer:
I'm not sure I understand this. elaborate a bit more and I can help tho :)
Which equations passes through point (5, 1) with an x-intercept of 4?
O y=x-4
O y = 5x + 1
Oy - 4x + 1
O y = x + 5
Find the unknown angle measure by solving for the given variable.
Answer:
10 1/2
Step-by-step explanation:
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 11 meters?
Answer:
3937.01 Inch are in 100 meter
6. 10 X 10 X 10
exponent form:
word form:
Answer:
the exponent is 10 ^ 3 and the word form is ten times ten times ten
Step-by-step explanation:
if you need more help just ask
In the diagram below of triangle KLM, N is a midpoint of K L and P is a midpoint
of LM. If NP + 3, and KM = 36 - 4x, what is the measure of NP?
Determine whether the graph shown to the right represents a function.
Choose the correct answer below.
O A. No, because no vertical line can be drawn that intersects the graph more than once.
B. Yes, because a vertical line can be drawn that intersects the graph more than once.
C. No, because a vertical line can be drawn that intersects the graph more than once.
D. Yes because no vertical line can be drawn that intersects the graph more than once.
Using the function definition, it is found that the correct option is:
C. No, because a vertical line can be drawn that intersects the graph more than once.
--------------------------
In a function, each value of the input x can have only one respective output y.In a graph, for a value of x, there can only be one value of y.To verify this, we trace a vertical line, and if it intercepts the function more than once, the graph is not a function.In the picture at the end, it can be seen that multiple vertical lines intersect the function twice, thus, not a function, and the correct option is C.A similar problem is given at https://brainly.com/question/12463448
#13
Write the following equation in slope-intercept form.
Equation
DE
-8y- 6x = 32
Answer:
y = -3/4x - 4
Step-by-step explanation:
-8y -6x = 32
-8y = 32 + 6x -- isolate the y variable.
(-1) -8y = 32 + 6x (-1) -- the y has to be a positive number so multiply every single number by -1
8y/8 = -32/8 - 6x/8 -- divide both sides by 8
y = - 4 - 6/8x
y = -3/4x -4 - simplify the fraction and that is your answer
Which shape has parallel lines and at least one acute angle
Answer:
A Parallelogram.
Step-by-step explanation:
Hope this helps! :)
Evaluate the expression, showing work please
5((8+2)+3(6-3))
Answer:
The answer is 59
Step-by-step explanation:
5(8+2)+3(6-3)
5*8=40
5*2=10
3*6=18
3*-3=-9
(40+10)+(18-9)
50+9=59
What is the total area, in square inches, of the shaded sections of the trapezoid below?
Help test
Total area of shaded region in trapezoid is 54.4in²
What is trapezoid?A trapezoid is a four-sided, quadrilateral shape with two parallel sides, which are called the bases, and two non-parallel sides, which are called the legs.
here, we have,
The formula for the area of a trapezoid is:
Area = (1/2) × (sum of the bases) × (height)
The Shaded region in trapezoid form right angled triangle.
Area of 1st shaded region=area of right triangle
=1/2×b×h
=1/2×6.8×7.4
=25.16in²
Area of 2nd shaded region=area of right triangle
=1/2×b×h
=1/2×6.8×8.6
=29.24in²
Hence, total area of shaded region in trapezoid is 54.4in²
To know more about trapezoid, visit:
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