Answer:
a=3 b=6
Step-by-step explanation:
The cube root of 162 has been factored into the cube root of 27 and the cube root of 6. The simplest form is thus 3 times the cube root of 6, so a = 3 and b = 6.
Explanation:The student is working on finding the cube root of 162 and has already correctly factored this into the cube root of 27 times the cube root of 6. To simplify this, we recognize that 27 is a perfect cube (3³), so the cube root of 27 is 3. Therefore, the simplest form of ∛162 can be written as:
∛162 = ∛27 × ∛6
This simplifies to:
3 × ∛6
Where the ∛ symbol represents the cube root. As such, in the form ∛a∛b, where 'a' is the cube root of a perfect cube and 'b' is the remaining factor, we have a = 3 and b = 6 for this equation.
162 was factored into a product of 27 (a perfect cube) and 6, which cannot be further simplified in terms of cube roots.
10) Solve the system by the elimination method. Check the solution.
x + 2y = 6
-x + 5y = 8
Answer:
x =2, y = 2
Step-by-step explanation:
[tex] x + 2y = 6....(1) \\
-x + 5y = 8....(2) \\ adding \: equations \: (1) \: and \: (2) \\
x + 2y = 6\\
-x + 5y = 8 \\ - - - - - - - \\ 7y = 14 \\ y = \frac{14}{7} \\ \huge \red{ \boxed{ y = 2}} \\ substituting \: y = 2 \: in \: equation \: (1) \\ x + 2 \times 2 = 6 \\ x + 4 = 6 \\ x = 6 - 4 \\\huge \purple{ \boxed{ x = 2}} \\ \\ \huge \orange{ \boxed{(x, \: y) = (2, \: 2)}}[/tex]
Solve for x -10x=-200
Answer:
x = 20
Explanation:
Let's solve your equation step-by-step.
−10x = −200
Step 1: Divide both sides by -10.
−10x /−10 = −200 /−10
x = 20
Answer:
x = 20
Step-by-step explanation:
-10x=-200
x = -200/ -10
x = 20
57 28 19 19 26 54 88 65 13 10 18 50 29 Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)
Answer:
36.6 or 36.61
Step-by-step explanation:
the first thing you want to do is add all your numbers together.
57+28+19+19+26+54+88+65+13+10+18+50+29
this would equal 476
the second thing you do is divide your total by the amount of numbers in your equation:
476/13
which would equal:
36.6153846
Lastly, you round to the tenth place, if the number in the second place after the decimal is under 5, the number before stays the same(if its above 5 you would round up). Since the second number after the decimal is under 5 it stays the same
your answer would be 36.6 or 36.61.
I hope this helped! sorry if i messed up its been a while.
Final answer:
To find the average of a list of numbers, add all the numbers and divide by the total count. In this case, the average of the numbers provided is 36.6 when rounded to the nearest tenth.
Explanation:
Given numbers = 57 28 19 19 26 54 88 65 13 10 18 50 29
To calculate the average of a list of numbers, you need to add all the numbers together and then divide by the total count of numbers.
Add all the numbers in the list: 57 + 28 + 19 + 19 + 26 + 54 + 88 + 65 + 13 + 10 + 18 + 50 + 29 = 476
Divide the sum by the total count of numbers in the list: 476 ÷ 13 = 36.6
Rounded to the nearest tenth, the average of the list of numbers is 36.6
Estimate the area of the circle. Round to the nearest whole number. A) 3 square units B) 6 square units C) 9 square units D) 12 square units
Answer:
3 square units branliest pls
Step-by-step explanation:
The correct answer is option A. The estimated area of the circle is 3 square units.
To estimate the area of a circle, we use the formula for the area of a circle:
[tex]\[ A = \pi r^2 \][/tex]
where [tex]\( r \)[/tex] is the radius of the circle. Given that the diameter of the circle is 2 units, we can find the radius by dividing the diameter by 2:
[tex]\[ r = \frac{d}{2} = \frac{2}{2} = 1 \text{ unit} \][/tex]
Now, we substitute the radius into the area formula:
[tex]\[ A = \pi (1)^2 = \pi \][/tex]
Using the value of [tex]\(\pi \approx 3.14\)[/tex], we get:
[tex]\[ A \approx 3.14 \][/tex]
Rounding 3.14 to the nearest whole number, we get:
[tex]\[ A \approx 3 \][/tex].
The complete question is:
Estimate the area of the circle, given the diameter as 2 unit. Round to the nearest whole number.
A. 3 square units
B. 6 square units
C. 9 square units
D. 12 square units
If 24% of the sixth grade class is in Mrs. White's class, and Mrs. White has
30 students, how many sixth graders are there in all?
Answer:
let,there are x sixth graders
then,
24% of x=30
or,24/100×x=30
or,6x/25=30
or,x=(30×25)/6
therefore,
x=125
HOPE IT HELPS
expression is to phrase as inequality is to _______________.
Answer:
inequality is greater than or less than or equal to
ASAP PLEASE HELP MEEEEE
A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season, the clinic saw 75 patients. In week 10 of flu season, the clinic saw 50 patients. Assume the reduction in the number of patients each week is linear. Write an equation in function form to show the number of patients seen each week at the clinic.
A.fx=5x+100
B.fx=-5x+100
C.fx=25+75
D.fx=-25+75
Answer:
85 flu patients Per week so A
Step-by-step explanation:
Final answer:
Using the two given points during the flu season, we calculate the slope of the reduction in patients per week and use one of the points to find the y-intercept. The resulting linear equation representing the number of patients seen each week at the clinic is f(x) = -5x + 100, which corresponds to option B.
Explanation:
To find the function that represents the number of patients seen each week during flu season at a medical clinic, we can use the two data points provided: In week 5, there were 75 patients (point 1: (5, 75)), and in week 10, there were 50 patients (point 2: (10, 50)). The goal is to find a linear equation of the form f(x) = mx + b, where m is the slope of the line and b is the y-intercept.
First, we find the slope (m) using the formula:
m = (Y2 - Y1) / (X2 - X1)
Substituting the given values, we get:
m = (50 - 75) / (10 - 5) = -25 / 5 = -5
Now we use one of the points to find the y-intercept (b).
Using point (5, 75):
75 = (-5)(5) + b
75 = -25 + b
b = 75 + 25
b = 100
So the equation of this function in function form is:
f(x) = -5x + 100
Therefore, the correct option is B. f(x) = -5x + 100.
Elise is going to solve the equation shown below. Which of the following statements are correct?
X/8 = 12.5
A. Elise should subtract 8 from both sides.
B. Elise should divide both sides by 8.
C. Elise should multiply both sides by 8.
D. Elise should subtract 12.5 from both sides.
Answer:
C. Elise should multiply both sides by 8.
Step-by-step explanation:
We need to undo what is being done to x
We are dividing x by 8, so to undo it we do the opposite.
The opposite of dividing is multiplication.
We multiply each side of the equation by 8
-x - 6y - z = -11 3x - 5y - 3z = 23 3x + 5y + 4z = 1
Which graph is the solution to the inequality?
Answer:
A
Step-by-step explanation:
1) subtract 2 from both sides:
-3x≤12
x≥-4(sign flips since we divided by a negative)
so the graph would be A
since "the equal to" means its a closed circle
Hope this helps!
Answer:
B,A,C
Step-by-step explanation:
What is x^2-5x+13=1 in standard form?
Answer:
x^2-5x+12=0
Step-by-step explanation:
This is standard form: ax^2+bx+c=0
To make zero on the side you have to subtract 1 on both sides
So the answer would be x^2-5x+12=0
Subtract:
(–65) – (–29)
Question 6 options:
A)
–36
B)
–94
C)
36
D)
94
Answer:
The answer is A, -36. Two negatives make a postitive.
Step-by-step explanation:
Each of 7 students reported the number of movies they saw in the past year. Here is what they reported.
18,11,15,12,5,16,5
Find the mean number of movies that the students saw. If necessary, round your answer to the nearest tenth.
(The answer is not 8.6)
Answer:
I believe the answer is, 11.75.
-Hope this helps!
Step-by-step explanation:
To find the mean, you must add up all your data and divide it by how many people there are. So, all the numbers added together is, 82. Since there are seven kids, you would divide 82 by 7. Which equals, 11.75: (Simplified).
Which of the following is a solution of the inequality h + 9 <20?
A. 13
B. 12
c. 11
D. 10
Answer:
D.10
Step-by-step explanation:
if you just add the other numbers in place of variable h
13+9=22
12+9=21
11+9=20
10+9=19
only one addition problem adds up to a sum below 20 that being 10 so the answer is D
Write as a mathematical expression and solve. The sum of a number and 8 times the number is 45. Find the number. plz help fast
Answer:
Step-by-step explanation:
Let the number of x
8 times of the number = 8*x = 8x
x+ 8x = 45
9x = 45
x = 45/9
x = 5
Find the value of x.
Answer
I guess it my be 8. can you try it ?
Step-by-step explanation:
Find the surface area of the figure.
A) 136 in2
B) 224 in2
C) 236 in2
D) 248 in2
worth 20 points
What is the mode of the following numbers?
3,5,6,7,9,6,8
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
In this set of numbers 6 is the number that is most often seen
What is the value of (5.3 times 10^4) (4.2 times 10^3) in scientific notation?
A 2.226 times 10^6
B 22.26 times 10^7
C 2.226 times 10^8
D 22.26 times 10^12
Answer:
C 2.226 times 10^8
Step-by-step explanation:
5.3* 10^4 * 4.2 * 10^3
We multiply the numbers out front
5.3* 4.2 =22.26
We add the exponents
10^(4+3) = 10^7
22.26*10^7
But we are not done yet because The number out front has to be between 1 and less than 10
Move the decimal 1 place to the left and add 1 to the exponent
2.226 * 10 ^(7+1)
2.226*10^8
Answer:
C
Step-by-step explanation:
(5.3 times 10^4) (4.2 times 10^3)
5.3 × 4.2 × 10⁴ × 10³
22.26 × 10⁷
2.226 × 10⁸
Jane is in charge of making a banner for the basketball game this Saturday. She measures how long the
banner is before painting it. She finds it measures 10 meters
Which measurement did Jane find?
The correct answer is Length, as Jane was specifically measuring how long the banner is, which refers to the distance from one end to the other along one dimension. Hence the correct option is b.
Jane measured how long the banner is, and she found it to be 10 meters. This measurement refers to the Length of the banner.
Length: This is a measurement that refers to the extent of something from end to end. Since Jane was measuring "how long" the banner is, she was determining its length.
Area: This is a measurement of the surface covered by a shape or object, typically expressed in square units (like square meters). It would require measurements of both length and width (or any other necessary dimensions depending on the shape) to calculate area, which is not what Jane measured.
Perimeter: This refers to the total distance around the edge of a shape. To find the perimeter, one would need the length of all sides of a shape, which again, is not what Jane measured. Since the banner is likely rectangular, she would need both the length and the width, and then sum them up appropriately.
Thus, the correct answer is Length, as Jane was specifically measuring how long the banner is, which refers to the distance from one end to the other along one dimension. Hence the correct option is b.
Complete question:
Jane is in charge of making a banner for the basketball game this Saturday. She measures how long the banner is before painting it. She finds it measures 10 meters. Which measurement did Jane find? Choose 1 answer:
Area
Length
Perimeter
Paula and her dad went ice-fishing this winter. They caught 7 total fish, including 5 trout.
If on the last day of the trip, Paula randomly selected 4 fish to donate to fishermen who
hadn't caught any fish that day, what is the probability that all of them are trout?
Write your answer as a decimal rounded to four decimal places.
Answer:
.7143
Step-by-step explanation:
there are 5 trouts so 5/7
Which statement proves that quadrilateral HIJK is a kite?
HI ⊥ IJ, and m∠H = m∠J
IH = IJ = 3 and JK = HK = SquareRoot 29, and IH ≠ JK and IJ ≠ HK
IK intersects HJ at the midpoint of HJ at (−1.5, 2.5)
The slope of HK = Negative two-fifths and the slope of JK = Negative five-halves
Answer is B
( I didn't see this on the site and figured I'd put it up)
Answer:
B.) IH = IJ = 3 and JK = HK = StartRoot 29 EndRoot, and IH ≠ JK and IJ ≠ HK.
Step-by-step explanation:
Answer: B
Step-by-step explanation:
YOUR WELCOME :)
A pile of earth removed from an excavation is a cone measuring 9 ft high and 24 ft across its base. How many trips will it take to haul away the earth using a dump truck with a capacity of 9 cubic yards?
Answer: It would take 6 trips
Step-by-step explanation: The pile of earth has formed into a cone with the following dimensions, height is 9 feet and base diameter is 24 feet across.
However the haulage truck has its capacity measured in yards, and so we use a standard rate of conversion of yards to feet and vice versa. The standard rate is;
1 Yard = 3 Feet
Hence, the height of the pile of earth an now be given as;
h yards = 9/3
h yards = 3
height = 3 yards
Similarly, the the base of the pile of earth can be calculated as;
(Note that the radius is derived as diameter divided by 2, that is 24/2)
r yards = 12/3
r yards = 4
radius = 4 yards
The volume of a cone is given as;
Volume = πr²h/3
Volume = 3.14 x 4² x (3/3)
Volume = 3.14 x 16
Volume = 50.24 cubic yards
For a haulage truck that can haul 9 cubic yards per trip, the total number of trips required to haul the entire volume of dirt is given as follows;
No of trips = 50.24 ÷ 9
No of trips = 5.5822
No of trips ≈ 6
Therefore it would take the truck 6 trips to haul the entire pile of earth.
Answer:
6 trips
Step-by-step explanation:
Plz help me outt ASAP
Answer:
i cant see
it take a clouser pic dodo
Step-by-step explanation:
Circle
has a circumference of 367 cm.
What is the length of the radius, ?
O
6 cm
18 cm
Save and Exit
Next
Submit
Answer:
r≈58.41cm
hope i helped
if i can have brainliest that would be great
Answer:
6 cm
Step-by-step explanation:
circumference = 3.14 times the diameter, which is half of the radius.
I think you meant 36.7 cm
if you divide 36.7 by 3.14, you get the diameter (11.687). half of that is 5.843cm.
the closest to that is 6cm
Frank wants to earn as many points as possible in one turn in a game. Two number cubes whose
sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points
are awarded in the turn.
OPTION A. If the sum of the rolls is a prime number, Frank receives 12 points
OPTION B. If the sum of the rolls is a multiple of 4. Frank receives 24 points
Which statement best explains the option he should choose?
Will give brainliest!!!
Answer:
Frank should choose Option B. The mathematical expectation of this option is 6 and is the greater mathematical expectation of the two options.
Step-by-step explanation:
Answer: If the sum of the rolls is a multiple of 4. Frank receives 24 points
Which statement best explains the option he should choose?
Step-by-step explanation:
Test
If h(t) = t^2/3 – 9 and j(t) = 3t + 5t^2/3,
what is h(t) – j(t)?
A) -4t^2/3-3t-9
B) 4t^2/3+3t+9
C) 3t+6t^4/3
D) -7t^7/3-9
Answer:
A
Step-by-step explanation:
[tex]h(t)-j(t)=t^{\frac{2}{3}}-9-[3t+5t^{\frac{2}{3}}]\\\\=t^{\frac{2}{3}}-9-3t-5t^{\frac{2}{3}}\\\\=t^{\frac{2}{3}}-5t^{\frac{2}{3}}-3t-9\\\\=[1-5]*t^{\frac{2}{3}}-3t-9\\\\=-4t^{\frac{2}{3}}-3t-9[/tex]
Find i’ll mark brainly
Answer:
48 units ^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h
where b1 and b2 are the lengths of the bases and h is the height
b1 = AT = 4*2 = 8 units ( watch the scale)
b2 = SR = 2*2 = 4 units ( watch the scale)
h = The line that S is at the to line that T is at along the x axis
= 4*2 = 8 units ( watch the scale)
A = 1/2 ( 8+4) * 8
= 1/2 *12*8
= 48 units ^2
Answer:
48 units²
Step-by-step explanation:
ARST is a trapezoid
1 block = 2 units
½ × (4 + 8) × 8
48 units²
4 - 2x = 10 plz solve
Answer:
x=7
Step-by-step explanation:
Opposite of subtraction is adding so you do 4+10=14 so that means that x equals seven because 2x7 equals 14.
The blue segment below is a diameter of oo. What is the length of the radius
of the circle?
O
A. 13.8 units
O
B. 3.45 units
6.9
O
c. 10.35 units
O
D. 6.9 units
The length of the radius of the circle is 3.45 unit.
What is Relationship between Radius and Diameter?We all know that a circle's radius is the distance a point on the circle's circumference travels from its centre.
The circle's diameter is a straight line that passes through its centre and has its endpoints on the circle.
Radius is therefore equal to half of diameter.
From the figure we have,
Diameter = 6.9 unit
Now, using the relation
Diameter = 2 x radius
6.9 = 2 x radius
radius = 6.9/ 2
radius = 3.45 unit
Learn more about Radius of circle here:
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