Answer:
414
Step-by-step explanation:
6 x 69= 414
Answer:
618
Step-by-step explanation:
9n-3
9 x 69 - 3
= 618
........
Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are corresponding angles with angle 8? Angle4 and Angle12 Angle2 and Angle10 Angle6 and Angle14 Angle3 and Angle9
Answer:
Angle 6 and Angle 13
Step-by-step explanation:
Because they are both parallel.
And they intersect at a given line.
Also cut by two transversals.
The angles that are corresponding angles with angle 8 are; Angles 6 and 14
How to find corresponding angles?
Corresponding angles are defined as the angles that are formed when two parallel lines are intersected by the transversal. This means that they are on the same side of the transverse line.
Now, from the given description and from the image of the line diagram shown in the brainly link attached, we can say that the angles that are corresponding to angle 8 are;
angles 6, 14, 16.
Thus, we conclude by saying that looking at the options, the ones that correspond to angle 8 are angle 6 and angle 14.
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Max wants to purchase a wall hanging. He is choosing between one shaped like a trapezoid and one shaped like a kite. He will choose the wall hanging with the greater area. Which wall hanging will Max choose?
Answer:
Max will choose the wall hanging that is shaped like a trapezoid.
Step-by-step explanation:
To find the area of the trapezoid, break it into a triangle and another trapezoid. Use the formula for the area of a triangle (A=base*height*1/2) and the formula for the area of a trapezoid (A=base+base*height*1/2). The area of the trapezoid is 672 square centimeters.
To find the area of the kite, break it into two identical triangles. (There's a horizontal line between them.) Use the formula for the area of a triangle for both, then add the two areas. The area of the kite is 648 square centimeters.
Finally, we know that 672>648. Therefore, Max will choose the wall hanging that is shaped like a trapezoid.
Hope this helps! Tell me if you have any other questions:)
Answer:trapezoid
Step-by-step explanation:
A parallelogram piece of paper 40cm by 25cm is cut into small parallelogram 8cm by5cm . How many pieces can be obtained. Step by step please
Plz help
What does “|” mean in mathematical term
Thanks
Answer:
Step-by-step explanation:
If you meant " | ", as in |x|, that's "absolute value." The domain of this function is "all real numbers," and the range is "all real numbers zero or greater."
If y= 1/4x and x = -12, find y.
Answer:
y = -3
Step-by-step explanation:
y= 1/4x and x = -12
Substitute x=12 into the first equation
y = 1/4(-12)
y = -3
Answer:
-3
Step-by-step explanation:
1/4 x -12
A friendly contest involves randomly drawing a marble from a bag that contains 16 blue marbles, 12 red
marbles, and 8 yellow marbles. If a blue marble is drawn, Nathan wins. If a red marble is drawn, Taylor wins.
If a yellow marble is drawn, Cady wins.
Who is most likely to win the contest?
1 Nathan
2 Cady
3 They are equally likely to win.
4 Taylor
Answer: I have a huge feeling it would be Nathan because he has the most blue marble. Yk?
The vertex of the graph of f(x) = (x - 3| + 6 is located at
Answer:
The answer is The vertex of the graph of f(x) = |x – 3| + 6 is located at (3,6)
3
and
6
Step-by-step explanation:
Vertex of graph located at (3,6)
What is vertex?A mathematical object's vertex is a special point where two or more lines or edges typically meet. Angles, polygons, and graphs are the most common examples of vertices.
Given equation f(x) = |x - 3| +6
after simplifying there will be two equations they are
y = x - 3 + 6 = x +3...….(1)
and y = -(x-3) +6
y = 9 - x...…(2)
substitute value of equation 2 in eq. 1
9 - x = x + 3
x = 3 and
substitute value of x in eq. 1
y = x + 3 =3 + 3
y = 6
x = 3, y = 6
Hence the intersecting points of both equation are (3,6)
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PLEASE HELP WHEN YOU SEE THIS
Answer:
~ m∠1 = 35 degrees ( ° ) ~
Step-by-step explanation:
1. This pair of intersecting lines form four pairs of supplementary angles, which may be one approach to this problem.
2. This first pair includes the 145 degree angle, which we may assign as 4, and angle 1, the second being 2 and 1, 2 and 3, and 3 and 145 degrees.
3. If we were to consider the first pair of supplementary angles, it would be that 145 + m∠ 1 = 180, or ⇒ m∠1 = 180 - 145 = 35 degrees ( ° )
4. To confirm that this is the right answer, let us prove that with this measure of ∠1 the intersecting lines = 360 degrees, as after all they form a circle.
5. By Vertical Angles Theorem: m∠2 = m∠4, and m∠3 = m∠1
6. It is provided that m∠4 = 145 degrees ( ° ) and m∠1 = 35 degrees ( ° ). Given such let us substitute these values into Step #5, as such ⇒ m∠2 = 145°, and m∠3 = 35°
7. The sum of the angles are known to 360 degrees, as provided previously, such that m∠1 + m∠2 + m∠3 + m∠4 = 360°, ⇒ 35 + 145 + 35 + 145 = 360, ⇒ 360 = 360
8. This proves that the m∠1 = 35 degrees ( ° )
There are 14math teachers and 26 science teachers at school today. What is the ratio of math teachers to math and science teachers at school?
It's basically asking "what is the ratio of math teachers to total teachers?" assuming there are only math and science teachers at this school. For the sake of simplicity, let's just go with that. We have 14 math teachers and 14+26 = 40 teachers total. The ratio of math to total is 14:40 which reduces to 7:20 when we divide both parts of the ratio by the GCF 2.
Answer: 7: 13
The ratio would be 14: 26, however you are most likely asked to simplify it. Which is why the answer would be 7: 13
I hope this helped! :DD
Each big square below represents one hole what percent is represented by the shaded area
Answer:
145%
Step-by-step explanation:
There are 100 small squares in each large square. Since 100% is one whole, each small square represents 1%.
Count the shaded small squares. The process is made easier by the fact that there are 10 in a row.
145 small squares are shaded, so the percentage represented is ...
145%
What is the probability of flipping a coin three times and getting either all heads or all tails?
Answer:
12.5 %
Step-by-step explanation:
Each time you probability of flipping one side is 50%, so when you do this three times (I think of x^3), your probability is going to be 0.5 * 0.5 * 0.5, or 12.5%
The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400 hours and a standard deviation of 75 hours. What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?
Answer:
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 1400, \sigma = 75[/tex]
What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?
This is the pvalue of Z when X = 1380. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1380 - 1400}{75}[/tex]
[tex]Z = -0.27[/tex]
[tex]Z = -0.27[/tex] has a pvalue of 0.394
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours
someone please help me this is the only question stopping me from graduatin class 2020
Answer:
EF = 3.43
Step-by-step explanation:
Sin θ = opposite / hypotenuse
Sin 26 = EF / 4.5
0.762 × 4.5 = EF
EF = 3.43
A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. A driver fills the tank and sets off on a journey.How many litres of petrol will be left when the car has travelled 360 miles?
without calculator
Answer:
After travelling 360 miles, 15 litres of petrol will be left.
Step-by-step explanation:
If a car can travel 480 miles with a full tank of 60 liters of petrol, it could be said that each liter of petrol allows to travel 8 miles (480/60 = 8). Therefore, since the driver has driven his car for 360 miles, his tank has spent 45 liters of petrol (360/8 = 45). In conclusion, given that the tank has a capacity of 60 liters and that it was full at the time of departure, having spent 45 liters, 15 liters remain in the tank.
1/8 cups + what ? Makes 1 1/3 cups
Answer:
1 5/24 cups
Step-by-step explanation:
The quality control manager at a light bulb factory needs to estimate the mean life of a batch (population) of light bulbs. We assume that the population standard deviation is 100 hours. A random sample of 64 light bulbs from the batch yields a sample mean of 350. a) Construct a 95% confidence interval for the population mean of light bulbs in this batch. b) Do you think that the manufacturer has the right to state that the average life of the light bulbs is 400 hours
Answer:
a)95% confidence intervals for the population mean of light bulbs in this batch
(325.5 ,374.5)
b)
The calculated value Z = 4 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
The manufacturer has not right to take the average life of the light bulbs is 400 hours.
Step-by-step explanation:
Given sample size n = 64
Given mean of the sample x⁻ = 350
Standard deviation of the Population σ = 100 hours
The tabulated value Z₀.₉₅ = 1.96
95% confidence intervals for the population mean of light bulbs in this batch
[tex](x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )[/tex]
[tex](350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )[/tex]
[tex](350 -24.5, 350 +24.5)[/tex]
(325.5 ,374.5)
b)
Explanation:-
Given mean of the Population μ = 400
Given sample size n = 64
Given mean of the sample x⁻ = 350
Standard deviation of the Population σ = 100 hours
Null hypothesis : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.
μ = 400
Alternative Hypothesis: H₁: μ ≠400
The test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }[/tex]
|Z| = |-4|
The tabulated value Z₀.₉₅ = 1.96
The calculated value Z = 4 > 1.96 at 0.05 level of significance
Null hypothesis is rejected.
Conclusion:-
The manufacturer has not right to take the average life of the light bulbs is 400 hours.
GUYS I NEED HELP ASAP
A rectangular playground is 40 feet wide. Find the area of this playground, if the fence around it, including the gates, is 200 feet long.
Answer:
[tex]A=2400ft[/tex]
Step-by-step explanation:
A rectangle is a closed planer quadrilateral with four right angles and its opposite sides are the same length. The fence around it including the gates is 200 feet long, so basically they are providing the perimeter of the rectangle. The perimeter of a rectangle is equal to the sum of all its sides. Hence:
[tex]Perimeter=w+h+w+h=2w+2h\\\\Where:\\\\w=Width\\h=Height[/tex]
The ectangular playground is 40 feet wide, so:
[tex]w=40ft[/tex]
Therefore:
[tex]Perimeter=2w+2h\\\\200=2(40)+2h\\\\200=80+2h[/tex]
Solving for h:
[tex]2h=200-80\\\\2h=120\\\\h=\frac{120}{2} \\\\h=60ft[/tex]
The area of a rectangle is equal to the product of two of its contiguous sides, hence:
[tex]A=wh\\\\A=(40)(60)=2400ft[/tex]
I attached you a picture of the rectangle
What is the length of AC? PLEASE HELP ASAP WILL GIVE BRAINLIEST TY
Answer:
2.33 units
Step-by-step explanation:
[tex]\tan 25\degree =\frac{AC}{5}\\\\0.46630 = \frac{AC}{5}\\\\AC = 0.46630 \times 5\\AC =2.3315\\AC = 2.33 \: units[/tex]
Find the area of the shape
with the radius of 10
Answer: 314.16
Step-by-step explanation: To find the area of a circle you have to square the radius then multiply by pi. 10 squared is 100 then multiplied by pi is 314.16 (rounded to the nearest hundredth).
(1 point) The volume of the solid obtained by rotating the region enclosed by x=2y,y3=x(with y≥0) about the y-axis can be computed using the method of disks or washers via an integral V=∫ba ? with limits of integration a= and b= . The volume is V= cubic units. Note: You can earn full credit if the last question is correct and all other questions are either blank or correct.
[tex]x=2y[/tex] and [tex]x=y^3[/tex] intersect when
[tex]2y=y^3\implies y^3-2y=y(y^2-2)=y(y-\sqrt2)(y+\sqrt2)=0[/tex]
[tex]\implies y=0\text{ or }y=\sqrt2\text{ or }y=-\sqrt2[/tex]
We omit the negative root, since we only care for [tex]y\ge0[/tex].
In the interval (0, √2), we have [tex]y^3<2y[/tex]. Then the volume is given by the integral
[tex]\displaystyle\pi\int_0^{\sqrt2}(2y)^2-(y^3)^2\,\mathrm dy=\pi\int_0^{\sqrt2}4y^2-y^6\,\mathrm dy[/tex]
and so the volume is (32√2)/21 π.
lot showing the weights of puppiespuppies at the shelter where hehe volunteers. HeHe said that since 1 and one half1
1
2plus+22plus+2 and one fourth2
1
4plus+2 and three fourths2
3
4equals=8 and one half8
1
2, the total weight of the puppiespuppies is 8 and one half8
1
2 lot showing the weights of puppiespuppies at the shelter where hehe volunteers. HeHe said that since 1 and one half1
1
2plus+22plus+2 and one fourth2
1
4plus+2 and three fourths2
3
4equals=8 and one half8
1
2, the total weight of the puppiespuppies is 8 and one half8
1
2 poundspounds. Use the line plot to answer 4dash–7.
Answer:
dont know need points sorry
Step-by-step explanation:
Answer:
I'm confused on what to answer in this. Edit the question and put the question in it and then I will be able to answer it
Make h the subject of the relation V=1/3πr²h
Answer:h=3V/πr^2
Step-by-step explanation:
V=1/3πr^2h
Cross multiply
3V=πr^2h
Divide both sides by πr^2
3V/πr^2=πr^2h/πr^2
3V/πr^2=h
h=3V/πr^2
The measure of an angle is 75°. What is the measure of its supplementary angle?
Answer:
105
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let the unknown angle be x
75+x = 180
Subtract 75 from each side
75+x-75=180-75
x = 105
Joanie has $14. Then she got $23 for her birthday. Later she spend $5 on a book. Which number sentence can be used to find m, the amount of money Joanie has now?
A.
14+23-5=m
B.
14+23+5=m
C.
23-14+5=m
D.
23-14-5=m
Answer A
Step-by-step explanation:14+23-5
What is the speed that a car reaches in m/s, if it travels 956km in 56sec?Help me!! MRU (Uniform Rectilinear Movement)
Answer:
17.07m/s
Step-by-step explanation:
v=d/t
d=956km
t=56sec
v=956/56
v=17.07m/s
a population is growing continuously at a rate of 5%. if the population is now 3400, what will it be in 17 years?
Answer:
7793
Step-by-step explanation:
3400 x 1.05^17 = 7792.862
Answer:
The population would be 7792.86 or when rounded would be 7793
Step-by-step explanation:
This question is an example of a repeated percentage change
To work this out you would first have to convert the percentage of 5 into a decimal. You can do this by dividing 5 by 100, this gives you 0.05. This is because percentages are out of 100.
The next step is to add 0.05 to 1, which gives you 1.05. This is because we are increasing the amount by 5% annually.
The final step is to multiply the amount of 3400 by 1.05 to the power of 17, this gives you 7792.86. This is because we are finding 5% and adding it to the amount and finding 5% of that new amount, this will continue 17 times.
1) Divide 5 by 100.
[tex]5/100=0.05[/tex]
2) Add 0.05 to 1.
[tex]0.05+1=1.05[/tex]
3) Multiply 3400 by 1.05 to the power of 17.
[tex]3400*1.05^{17} = 7792.86[/tex]
4) Round to the nearest whole number.
7793
Differentiate the function:
y=x^3+2x-1
Answer:
y' = 3x² + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
y = x³ + 2x - 1
Step 2: Differentiate
Basic Power Rule: y' = 3x³⁻¹ + 1 · 2x¹⁻¹ - 0Simplify: y' = 3x² + 2Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
If f(x) and f-1 (x)
are inverse functions of each other and f(x) = 2x+5, what is f-1 (8)?
Answer:
For this case we have the following function:
f (x) = 2x + 5
Clearing x we have:
2x = y - 5
x = (y-5) / 2
Rewriting:
f (x) ^ - 1 = (x-5) / 2
Evaluating x = 8:
f (8) ^ - 1 = (8-5) / 2
f (8) ^ - 1 = 3/2
Answer:
f (8) ^ - 1 = 3/2
option 2
Answer:
3/2 B
Step-by-step explanation:
Edge
g(t) = 6t - 1
g ( ) = -7
Answer:
g(-1) = -7
Step-by-step explanation:
Put the given value for g(t) into the first equation and solve for t.
-7 = 6t -1
-6 = 6t . . . . . . add 1
-1 = t . . . . . . . . divide by 6
g(-1) = -7
Answer: -1
Step-by-step explanation:
Find cos theta, tan theta, and csc theta, where is the angle shown in the figure.
Give exact values, not decimal approximations.
The exact values of [tex]cos\theta[/tex], [tex]tan\theta[/tex], and [tex]cosec\theta[/tex] are [tex]\frac{\sqrt{33} }{7}[/tex], [tex]\frac{4}{\sqrt{33} }[/tex] and [tex]\frac{7}{4}[/tex] respectively.
What is sine of an angle?The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.
What is cosine of an angle?In a right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H).
What is tangent of an angle?The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
What is cosecant of an angle?In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle.
According to the given question.
We have a right angle triangle ABC.
In which
AB = 7
AC = 4
Now by Pythagoras Theorem
[tex]AB^{2} =AC^{2} +BC^{2}[/tex]
⇒ [tex](7)^{2} = (4)^{2} + BC^{2}[/tex]
⇒ [tex]49 = 16 +(BC)^{2}[/tex]
⇒ [tex]49 - 16=BC^{2}[/tex]
⇒ [tex]BC^{2} = 33[/tex]
⇒ [tex]BC=\sqrt{33}[/tex]
In the right angle triangle
Hypotenuse, AC = 7
The side BC is the adjacent side w.r.t angle θ.
And, Side BC is the opposite side w.r.t angle θ.
Therefore,
[tex]tan\theta=\frac{4 }{\sqrt{33} }[/tex]
[tex]cos\theta= \frac{\sqrt{33} }{7}[/tex]
[tex]sin\theta= \frac{4}{7}[/tex]
[tex]cosec\theta=\frac{1}{sin\theta} =\frac{1}{\frac{4}{7} } =\frac{7}{4}[/tex]
Hence, the exact values of [tex]cos\theta[/tex], [tex]tan\theta[/tex], and [tex]cosec\theta[/tex] are [tex]\frac{\sqrt{33} }{7}[/tex], [tex]\frac{4}{\sqrt{33} }[/tex] and [tex]\frac{7}{4}[/tex] respectively.
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