Answer:
Answer: B
Step-by-step explanation:
The number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612 and this can be determined by using the rules of rounding off to the nearest hundredths.
Given :
Number - 37.62
The following steps can be used to round off any number to the nearest hundredth:
Step 1 - In the thousandths place value analyze that digit to round off a decimal.
Step 2 - If the value is 5 or more than 5 in the thousandth place then the digit is increased by 1 which is at the hundredth place and in the thousandth place digit and thereafter becomes zero.
Now, the number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612.
Therefore, the correct option is B) 37.612.
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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 ( ° )
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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1/8 cups + what ? Makes 1 1/3 cups
Answer:
1 5/24 cups
Step-by-step explanation:
Determine the y-intercept of the function.
x = 4y - 6
Answer:
y = 3/2
Step-by-step explanation:
Answer:
x=4y-6
Geometric figure: Straight Line
Slope = 0.500/2.000 = 0.250
x-intercept = -6/1 = -6.00000
y-intercept = 6/4 = 3/2 = 1.50000
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-(4*y-6)=0
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve x-4y+6 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x-4y+6 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 3/2 so this line "cuts" the y axis at y= 1.50000
y-intercept = 6/4 = 3/2 = 1.50000
Calculate the X-Intercept :
When y = 0 the value of x is -6/1 Our line therefore "cuts" the x axis at x=-6.00000
x-intercept = -6/1 = -6.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.500 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 1.500 = 0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.500/2.000 = 0.250
Geometric figure: Straight Line
Slope = 0.500/2.000 = 0.250
x-intercept = -6/1 = -6.00000
y-intercept = 6/4 = 3/2 = 1.50000
Step-by-step explanation:
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:
(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.
Which image below is an equilateral triangle?
Answer:A. is the equilateral triangle because all sides are equal
Step-by-step explanation:
j+ 12 =25 find the solution to equation algebtaically
Answer:
j= 13
just subtract 12 from 25
Start by isolating the j.
Subtract 12 from both sides.
On the left, the 12 and -12 cancel.
On the right, 25 - 12 is 13.
So we have j = 13.
Estimate the sum of 17.36 and 8.7 BY ROUNDNG TO THR NEAREST WHOLE NUMBER BEFORE ADDING...?
A.9
B.10
C.25
D.26
E. None correct
Answer:
D. 26
Step-by-step explanation:
We have to round to whole numbers before adding.
When approximating to whole numbers, if the number after the decimal is less than 5, you round down to 0 but if it is greater or equal to 5, you round up to 1.
17.36 ≅ 17
8.7 ≅ 9
Therefore:
17 + 9 = 26
if you know the area How would you find the diameter of a circle?
Step-by-step explanation:
formular of area circle = pi*
[tex] {? \\ radius}^{2} [/tex]
=> radius =
[tex] \sqrt{area \div pi } [/tex]
diameter = 2* radius.hope this help
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
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer: C
Step-by-step explanation:
[tex]x^2+4x-21\\(x+7)(x-3)[/tex]
Answer: The correct answer is C.
Step-by-step explanation: If you factor the equation using the AC method, you will get this answer. Multiply A by C. For example, you would multiply 4 by 5 to get 20. List the factors of your answer from step two. That is, list pairs of numbers that you could multiply to come up with that answer. For instance, in the case of 20, you would have the following factors: (1, 20), (2, 10), (4, 5).
Find a pair of numbers among the factors that adds up to the B term in the equation. For this example, you must find a pair that adds up to 9. Therefore, you would isolate the pair (4, 5).
Replace the middle term (the B term) with the two numbers from the pair, along with the original variable that went with the B term. For example, you would write: 4x^2 + (4+5)x + 5 = 4x^2 + 4x + 5x + 5.
Group the first two terms and the last two terms together as such: (4x^2 + 4x) + (5x + 5).
Simplify the equation by finding terms that are common for each side. For instance, you would simplify (4x^2 + 4x) + (5x + 5) to 4x(x + 1) + 5 (x + 1). This would further simplify to (4x + 5) (x + 1).
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."
(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3
Answer:
88 25/27
Step-by-step explanation:
(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3
PEMDAS
Parentheses first
(7)^2 (7)^2÷(3)^3
Then exponents
49*49 ÷27
Then multiply and divide from left to right
2401÷27
2401/27
88 25/27
88.92592593
Answer:
Step-by-step explanation:
(7)^2(7)^2 / (3)^3
49*49 / 27
2401/27
88 25/27
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?
What is 10,000 steps in feet
Answer: 10,000 steps is 5 miles aka 2,000 feet
Step-by-step explanation:
help me plss to find the area
Answer:
A=88 square units
Step-by-step explanation:
A=B x H
A= 11 x 8
A=88 square units
What’s the answer to this question ?
Answer:
the correct choice is marked
Step-by-step explanation:
The zero-crossings at -3 and +3 tell you that one of the factors is the difference of squares:
(x +3)(x -3) = x^2 -9
The zero crossing at -1 tells you that x+1 is a factor.
So, the polynomial factors as ...
f(x) = (x^2 -9)(x +1)
Multiplying this out, we get ...
f(x) = x^2(x +1) -9(x +1)
f(x) = x^3 +x^2 -9x -9 . . . . . . matches the first choice
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
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]
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
What is the quotient?
(6 * 108) = (1.5 x 10-4)
4 x 1012
4 x 104
4 x 10-32
4 * 10-2
Answer:
The first choice.
Step-by-step explanation:
6 * 10^8 / 1.5 * 10^-4
= (6/1.5) * (10^(8 - (-4))
= 4 * 10^12.
Answer:
4 x 1012
Step-by-step explanation:
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).
Brainliest for anyone if they get this CORRECT.
answer is D7/2
hope it helps!!!!!!!!!!!!!!!!!!!!!!
please hurry!! 34 + 3 ⋅ 5 = ____. (Input only whole numbers.) Numerical Answers Expected! Answer for Blank 1:
Answer:
49
Step-by-step explanation:
First multiply 3 x 5.Which will give you 15.Then add 34 and 15 which will give you 49.
Answer:
49
Step-by-step explanation:
3 x 5 = 15
15+34 = 49
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:
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
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
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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