Find the two whole numbers that are the closest to √42. Explain your reasoning
The two whole numbers that are the closest to √42 are 6 and 7.
The given number is √42.
What is the square root of a number?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
The square root of √42 =6.48
The two whole numbers that are the closest to √42 are 6 and 7.
Therefore, the two whole numbers that are the closest to √42 are 6 and 7.
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If angle DAB is 30 degrees, angle ABD is 60 degrees, and line segment BD has a length of 30, what is the length of side a?
Answer:
The length of side a is 30
Step-by-step explanation:
because the side of an angle is the side it's pointing at which is BD. BD = a = 30
If the mean of 5 numbers is 10 and the mean of other 15 numbers is 20 , what is the combined mean of both 20 numbers
9514 1404 393
Answer:
17.5
Step-by-step explanation:
The sum of the 5 numbers is 5·10 = 50.
The sum of the 15 numbers is 15·20 = 300.
The sum of all 20 numbers is then 50+300 = 350, so their mean is ...
mean = sum/number = 350/20 = 17.5
The combined mean of the 20 numbers is 17.5.
Michael sells 136 newspapers each week. If there are 52 weeks in a year, how many newspapers does Michael sell in a year?
Answer:
7,072
Step-by-step explanation:
136 times 52 = 7,072
Answer:
7,072 newspaper in a year
Step-by-step explanation:
Multiply: 136*52=7,072
(I would put a picture of my work but I'm lazy right now lol)
Hope this helped!! :)
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Brainliest?!?!
Someone plz help me I will give brainliest
Answer:
Step-by-step explanation:
5. 3/4 +3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2
6. 16 x 3 x 1/8 = (48x 1)/8 = 48/8 = 6
7. 500 x 2/5 = 500 x 2 x 1/5 = (1000 x 1)/5 = 1000/5 = 200
Which is the best estimate of the sum of 18.9 and 99.3?
A. 100
B. 110
C. 120
D. 130
Answer:
120
Step-by-step explanation:
99.3 + 18.9 = 118.2
Given f(x)=-3x+7 and g(x)=2x2 - 8, find g(f(x)).
Identify the cross section that results from slicing the three-dimensional figure with a plane that is parallel to its base
A)Pyramid
B)Rectangle
C)Square
D)Triangle
Answer:
D) triangle
Step-by-step answer:
A pyramid is a three-dimensional figure with a plane that is parallel to its base.
PyramidA three dimensional figure is a figure with a length, width and height. 3D shapes have faces, edges, and vertices.
Rectangle, square and triangle are two dimensional shapes while pyramid is a three dimensional shape.
A pyramid is a three-dimensional figure with a plane that is parallel to its base.
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A fish is swimming at a constant rate toward the ocean floor. The equation
y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Which statement best describes the depth of the fish, given this equation?
Answer: Y = 21
Step-by-step explanation:
Every time Kristina bakes a batch of brownies, she uses 1/8
a cup of chocolate. If she has 3/4
cup(s) of chocolate remaining, how many batches of brownies can Kristina make?
Answer:
6 batches
Step-by-step explanation:
3/4 divided by 1/8 = 6/8 divided by 1/8 = 6 batches
Jon has to pay $9.00 admission for the skating rink and $2 per hour to
rent roller blades. How many hours can he skate for $19?*
3
5
06
Answer:
The answer is 5 hours
Step-by-step explanation:
Probably of Carl solving the 10 problems if there's 20 to study and he knows 15 and ten of the 20 are on the test.
Answer:
1/3
Step-by-step explanation:
Probability of solving ten problems by Carl
Given
Total number of problems = 20
Number of problems studied by Carl = 15
Number of problems out of the 20 set of problem coming in test is 10
Case I - All ten problems come from the set of known 15 question
10/15 * 10/20 = 1/3
The ratio of coretta's weight to Justin's weight is 3:4. If corretta gains 5 pounds the ratio of their weights will be 4:5. How much does Justin weigh?
Answer:
100 pounds
Step-by-step explanation:
I don’t know if this is correct !!!!! Please help answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!
Answer:
change up to down the rest is right
Step-by-step explanation:
hope I helped!!
what is 4(3x 6y) equivalent to?
Answer:
2x/y ??
Step-by-step explanation:
Answer: If the sign missing is supposed to be a plus sign, then the answer is 12x+24y
Step-by-step explanation:
point a is located in which quadrant quadrant 1 quadrant 2 quadrant 3 quadrant 4
PLEASE HELP ME QUICK PLEASEEEE
Answer:
quadrant 2
Step-by-step explanation:
top right is 1, top left is 2, bottom left is 3, and bottom right is 4
Write log7(2 ⋅ 6) + log73 as a single log. Log Subscript 7 Baseline 11 Log Subscript 7 Baseline 15 Log Subscript 7 Baseline 36
Answer:
C. log7 36....................................
The given logarithmic expressions together can be written as log₇ 36
What is a logarithmic function ?The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.
Formulae for logarithmic function are,
LogAB = LogA + LogB
Logₐaᵇ = b
Given that,
= log₇(2 x 6) + log₇3
= log₇ 36
We have the result
log A + log B = log AB
Here the question is log₇(2 x 6) + log₇3.
Using the property of logarithm we will get,
= log₇(2 x 6) + log₇3
= log₇(2 x 6 x 3)
= log₇ 36
So, log₇(2 x 6) + log₇3 = log₇ 36
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Which phrase describes the algebraic expression 5+w
A: the product of 5 and w
B: the quotſent of 5 and w
C: w more than 5
D: 5 less than w
Answer:
The answer probably is A
Juan cuts a piece of rope that is 16 meter long into 2 equal pieces.
What is the length of each shorter piece of rope?
Enter your answer as a fraction in simplest form by filling in the boxes
Can you answer this for 20 points? With which countries was France at war in 1792 and 1793?
Answer:
They pitted France against Great Britain, the Holy Roman Empire, Prussia, Russia, and several other monarchies. They are divided in two periods: the War of the First Coalition (1792–97) and the War of the Second Coalition (1798–1802)
Step-by-step explanation:
9*10^7 is how many times as large as 3*10^-2
Select all the numbers that round to 387.4 when rounded to the nearest tenth
The numbers that round to 387.4 when rounded to the nearest tenth are in the following interval.
387.35 <= x < 387.4
How to round the numbers?To round a number to the nearest tenth, we must observe the second decimal digit of the number:
If the second decimal digit is less than five, the first digit remains constant and the other decimal digits are removed, example, 387.34 = 387.3.If the second decimal digit is at least five, one is added to the first digit and the other decimal digits are removed, example, 387.35 = 387.4.More can be learned about rounding at https://brainly.com/question/28128444
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An arc is 70.7 meters long and is intercepted by a central angle 5pi/4 radians. Find the diameter of the circle
Answer:
36.008 or 36
Step-by-step explanation:
Use the equation for the length of any circular arc
s = r(radians)
s - length of a circular arc
r - radius
radians - radian measure of the central angle
Then, set-up the equation:
s = r(radians)
70.7m = r(5pi/4)
Get variable "r" on one side by multiplying both sides by 4/5pi, which should result in the following:
r = 70.7m x 4/5pi
then solve for r
r = 282.8/5pi = 18.004
The radius is half the diameter therefore just multiply the radius by 2
d = 18.004 x 2
= 36.008 or 36
The diameter of the circle is 36 meters.
What is an arc?The arc is a portion of the circumference of a circle.
We have been given that an arc is 70.7 meters long and is intercepted by a central angle of 5π/4 radians.
We have to determine the diameter of the circle
For the length of the circular arc, use the equation.
⇒ 70.7 m = R(5π/4)
Multiply both sides by 4/5π to get the variable "R" on one side, which should get the following:
⇒ R = 70.7 m × 4/5π
⇒ R = 282.8/5π
∵ π = 3.14
⇒ R = 282.8/5(3.14)
⇒ R = 18.004
Since the radius is equivalent to half the diameter, simply double the radius by 2.
⇒ D = 18.004 × 2
⇒ D = 36.008 ≈ 36
Hence, the diameter of the circle is 36 meters.
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help please with math
Answer:
(2 x a)+(3 x b)+c=total points
Step-by-step explanation:
Determine whether each given pair of endpoints lies on the same horizontal or vertical line.
If so, find the length of the line segment that joins the pair of points.
If not, explain how you know the points are not on the same horizontal or vertical line.
(0,−2) and (0, 9). Do not include units in your answer.
Answer:
They end up on the same vertical line. The length between them is 11 units if your looking on a graph.
Step-by-step explanation:
You can also answer this without a graph by looking at the x and y units for each pair. Since both points both have x as 0 you can know they will be on the same vertical line which for this question is zero. Then to find the length between each point just count up from -2. -2, -1, 0, 1 etc. That's the easiest way for my brain to comprehend it at least.
please help! not sure how to do this
Answer:
y=−3x+4
Step-by-step explanation:
Step 1: Flip the equation.
−6x+8=2y
Step 2: Add -8 to both sides.
−6x+8+−8=2y+−8
−6x=2y−8
Step 3: Divide both sides by -6.
−6x −/6 = 2y−8 /−6
The following are Noah's scores on his first ten exams: 89, 90, 79, 92, 80, 94, 86, 91, 82, 89. Calculate the sum of Noah's points
(Only enter the numeric answer - NO WORDS!)
I
Answer:
872
Step-by-step explanation:
89+90+79+92+80+94+86+91+82+89
HELP I forgot how to do this (show work please)
The answer is 23[tex]\sqrt{x} \pi[/tex].
Sorry that I didn't explain and made it short my annual examination is going on but I really wanted to help you.
A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.
The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.
Both tanks hold the same amount of water when
1088 - 5t = 1360 - 9t
Solve for t :
4t = 272
t = 68
So the tanks will hold the same amount of water after 68 weeks.
The triangles are similar, solve for the question
mark.
Answer:
8
Step-by-step explanation:
I think it's the only reasonable one to choose that's my explanation
The Length of side AE= 18
Given :
A triangle ABE with the measure of sides .
Explanation :
Find out the measure of AE using similar triangles
From the given figure, Triangle ABE is similar to triangle CDE
When the triangles are similar then the sides are proportional
[tex]\frac{AB}{CD} =\frac{AE}{CE}[/tex]
We know that AB=15, CD=10, CE= 12
Substitute all the values and find out AE
[tex]\frac{AB}{CD} =\frac{AE}{CE}\\\frac{15}{10} =\frac{AE}{12}\\Cross \; multiply \\15(12)= AE(10)\\Divide \; both \; sides \; by \; 10\\\frac{15(12)}{10} =AE\\18=AE\\AE=18[/tex]
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