The correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.
How to solve radical equations?To solve radical equations, one common technique is to isolate the radical term first, then take both sides of the equation to a power to remove the radical.
Therefore the correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.
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Please help, sigma notations please big project 100 points
Answer:
I believe the answer is: [tex]3B_i[/tex]. (Your equation should look something like this: [tex]\sum _{i=3}^5\:B_{\left(i\right)}[/tex] )
Step-by-step explanation:
[tex]1. \sum _{i=3}^5=\sum _{i=1}^5-\sum _{i=1}[/tex]
2.[tex]=\sum _{i=1}^5B_{\left(i\right)}-\sum _{i=1}^2B_{\left(i\right)}[/tex]
3.=[tex]=\sum _{i=1}^5B_{\left(i\right)}= 5B_{\left(i\right)[/tex]
4.[tex]\sum _{i=1}^2B_{\left(i\right)}= 2B_{\left(i\right)[/tex]
5.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}[/tex]
6.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}=3B_{\left(i\right)}[/tex]
7. The answer should be: [tex]3B_{\left(i\right)}[/tex]
Hope this helps...
1. How many ways can Grant arrange 3 of his 10 plants on a window ledge?
2. A parade organizer received 8 entries for floats. How many ways can he arrange 4 floats out of the 8 entries?
3. Express 4! in expanded form.
4. The number of ways 15 members of a 24-member club can be arranged. ( use permutation notation). PLEASE HELP ME!! and thankyou
The number of ways that Grant can arrange 3 of the 10 plants is 120 ways and the number of ways that 4 floats out of 8 can be arranged is 70 ways.
How can these combination problems be solved?Grant can arrange 3 out of 10 plants in the following number of ways:
= 10!/ ((10! - 3!)3!)
= ( 10 x 9 x 8) / (3 x 2)
= 120 ways
The parade organizer can arrange 4 floats out of 8 as:
= 8!/((8! - 4!)4!)
= (8 x 7 x 6 x 5) / (4 x 3 x 2)
= 70 ways
When 4! is written in expanded form, it comes out as:
= (4 x 3 x 2)
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Ahmed and Babar share 240g of sweets in the ration 7:3. Calculate the amount Ahmed receives
The amount received by Ahmed is 168 gm.
What is Ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
Here, let the amount received by Ahmed be 7x
and amount received by Babar be 3x
Total amount of sweets = 240 gm
Now, according to question,
7x + 3x = 240
10x = 240
x = 240/10
x = 24
Thus, the amount received by Ahmed is 7 X 24 = 168 gm and amount received by Babar = 3 X 24 = 72 gm.
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Which of the following is the range in the given set of numbers 10, 30, 15, 17, and 18
Using it's concept, it is found that the range of the set of numbers 10, 30, 15, 17, and 18 is of 20.
What is the range of a data-set?
The range of a data-set is given by the difference of the greatest value by the smallest.
In the data-set 10, 30, 15, 17, and 18, we have that:
The greatest value is 30.The smallest value is 10.Hence the range is given by:
R = 30 - 10 = 20.
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what is the slope of 2/7x +5y=15
Answer:
-2/35
Step-by-step explanation:
Slope y-intercept form : y = mx + b
Here m is the slope and b is the y-intercept
Write the given equation in slope y-intercept form.
[tex]\sf \dfrac{2}{7}x + 5y = 15\\\\[/tex]
[tex]\sf 5y = \dfrac{-2}{7}x + 15\\\\ y =\dfrac{-2}{7*5}x + \dfrac{15}{5}\\\\ y = \dfrac{-2}{35}x + 3\\\\ \boxed{\bf Slope = \dfrac{-2}{35}}[/tex]
If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?
A.
3 and 7
B.
-3 and 7
C.
-7 and -3
D.
-7 and 3
Answer: B. -3 and 7
Step-by-step explanation:
To find the zeros, just move the constants to the other side,
x - 7 ⇒ x = 7
x + 3 ⇒ x = -3
If the number is moved to the other side its sign becomes opposite
Hope it helps!
2x(x-5) -x (3 + 2x) = 26
help me pls
Answer:
x = -2
Step-by-step explanation:
[tex]2x(x-5)-x(3+2x) = 26\\2x^{2} -10x-3x-2x^{2} = 26\\-13x=26\\x=\frac{26}{-13} \\=-2[/tex]
Its basically the order of operations, from left to right , evaluate brackets (if possible), then multiplication or division, lastly followed by addition or subtraction.
2x2-10x-3x-2x2=26
Eliminam opusele
reducem termenii
-13x=26
imparte ambele parti
x=-2
Step-by-step explanation:
Find the measure of angle A.
A
9x+6
4x + 6
m/A=
Answer:
angle A=30°
Step-by-step explanation:
[tex]9x + 6 + 4x + 6 + 90 = 180 \\ 13x + 102 = 180 \\ 13x = 180 - 102 \\ 13x = 78 \\ \frac{13x}{ 13} = \frac{ 78}{13} \\ x = 6 \\ 4x + 6 = a \\ 4(6) + 6 = a \\ 24 + 6 = a \\ 30 = a[/tex]
A town on the coast is building a lighthouse that is 27 meters tall. Determine the area of the circular base of the lighthouse if the radius of the base is 35 meters. Use 22/7 for pi. WILL GIVE BRAINLIEST
A. 220 m2
B, 3,830 m2
C.103,950 m2
D.15,400 m2
Answer:
B. 3850 m²Step-by-step explanation:
Use the equation of area of circle:
A = πr²Substitute π with 22/7 and r with 35 m as per question.
Find the area:A = 35²*(22/7) = 3850 m²Correct choice is B (with slight difference)
Answer:
B. 3850 m²
Step-by-step explanation:
The area of the base of the lighthouse can be modeled as a circle.
Area of a circle
[tex]\textsf{A}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
Given:
r = 35 mπ = 22/7Substitute the given values into the formula and solve for A:
[tex]\implies \sf A=\dfrac{22}{7} \cdot 35^2[/tex]
[tex]\implies \sf A=\dfrac{22}{7} \cdot 1225[/tex]
[tex]\implies \sf A=\dfrac{26950}{7}[/tex]
[tex]\implies \sf A=3850\:\:m^2[/tex]
Therefore, the area of the circular base of the lighthouse is 3850 m²
In one country, approximately 178,200 of 990,000 residences are rentals. Determine the percentage of residences in the country that are rentals.
Answer:
18%
Step-by-step explanation:
178 200 / 990 000 x 100% = 18%
Describe the error in solving the equation -2x^2+9x=4 using the Quadratic Formula.
Answer:
The roots are 0.5 and 4.
Step-by-step explanation:
-2x^2+9x=4
Rearrange:
-2x^2 + 9x - 4 = 0
x = [-b +/- √(b)^2 - 4ac)] / 2a
Using this quadratic formula the solution is:
x = [-9 +/- √(9)^2 - 4*(-2)*(-4)] / (2*-2)
= (-9 +/- √49) / -4
= 9/4 +/- (-7/4)
= 9/4 - 7/4 = 0.5
and 9/4 + 7/4 = 4
The value of the surface area of the rectangular prism is equal to the value of the volume of the rectangular prism. Write and solve an equation to find the value of x.
Answer:
Equation: 24x + 2(36) = 6(6x) or 24x + 72 = 36x Answer: x = 6
Step-by-step explanation:
24x + 72 = 36x
-24x -24x
72 = 12x
/12 /12
6 = x
Question 5 of 5
Select the correct answer from each drop-down menu.
The area of this rectangle is 54 square inches. Create an equation to find the value of n.
3(n-1)
54 square inches n+2
rẻ tint
▼ = 0
Answer:
[tex]3n^2+3n-6=54[/tex]
Step-by-step explanation:
Total Area=54 square inches. Area=length*width.
Because the length is [tex][3(n-1)][/tex], and the width is [tex](n+2)[/tex], you can plug that into the equation for area. In this case, because the total area is 54, we can plug that in for area.
[tex][3(n-1)](n+2)=54[/tex]
Distribute through the parenthesis in [tex]3(n-1)[/tex].
[tex](3n-3)(n+2)=54[/tex]
Then, multiply [tex]3n-3[/tex] and [tex]n+2[/tex] using whatever method you prefer. I used FOIL, which stands for First, Outer, Inner, Last. You multiply the first terms together, the outer terms together, the inner terms together, and the last terms together.
[tex]3n^2+6n-3n-6=54[/tex]
Simplify.
[tex]3n^2+3n-6=54[/tex]
Use technology or a z-score table to answer the question.
The weights of boxes of rice produced at a factory are normally distributed with a
mean of 20 ounces and a standard deviation of 1.5 ounces. Consider a shipment of 1500 boxes of rice.
How many of the boxes will weigh 18 ounces or less?
138 boxes
154 boxes
632 boxes
781 boxes
The number of boxes will weigh 18 ounces or less will be 138. Then the correct option is A.
What is a normal distribution?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The weights of boxes of rice produced at a factory are normally distributed with a mean of 20 ounces and a standard deviation of 1.5 ounces.
Consider a shipment of 1500 boxes of rice.
Then the number of the boxes will weigh 18 ounces or less will be
z = (18 - 20) / 1.5
z = -1.33
Then the probability will be
P(x ≤ 18) = P(z ≤ -1.33)
P(x ≤ 18) = 1 - P(z > -1.33)
P(x ≤ 18) = 1 - [1 - P(z < -1.33)]
P(x ≤ 18) = P(z < -1.33)
P(x ≤ 18) = 0.091211
Then the number of the boxes will weigh 18 ounces or less will be
⇒ 0.091211 x 1500
⇒ 136.8
approximately 138 boxes.
Then the correct option is A.
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Solve-2x6x + 9.
A. x > -3
B. x < -5
OC. x>-5
D. x <-3
Step-by-step explanation:
please mark me as brainlest
Answer:
[tex]x < - 5[/tex]
Step-by-step explanation:
[tex] - 2x - 6 > x + 9[/tex]
[tex] - 2x - x > 9 + 6[/tex]
[tex] - 3x > 15[/tex]
[tex] \frac{ - 3x}{ - 3} > \frac{15}{ - 3} [/tex]
[tex]x < - 5[/tex]
Daniel used the formula to find the area of the following special trapezoid. His work is shown. Identify his error and correct it to find the area of the special trapezoid.
Daniel made an error in line 3. He wrongly divided the sum of sides and height. The area of the trapezoid is 42 cm².
What is the area of the trapezoid?A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides.
Area of a trapezoid = 1/2 x (sum of the lengths of the parallel sides) x height
Line 1: A = 1/2 x (6) + (7 + 7) Line 2: A = 1/2 (6) (14) Line 3 : 3 x 14 Line 4 : A = 42 cm²To learn more about trapezoids, please check: https://brainly.com/question/25748893
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4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received.
How many slices of pizza did Harris eat?
10 more than w is equal to 40 what is the expression
Answer:
w + 10 = 40
Step-by-step explanation:
10 more than w is w + 10 is equal to 40 is =40
w + 10 = 40
Please mark as brainliest.
Answer:
10 + w = 40Step-by-step explanation:
10 more than w is equal to 40 what is the expression
10 + w = 40 is the expression
w = 40 - 10
w = 30 is the solution
Help! I need to finish but I'm stuck! Will give brainliest!
The shaded figure below is composed of a trapezoid and a semicircle on a coordinate plane.
Which of the following expressions represents the area of the shaded figure?
2(18 + π)
2(12 + π)
4(9 + 2 π)
8(3 + π)
Answer:
2(12 + π)
Step-by-step explanation:
This will get you about 30and even by just counting squares you will get the closest to this answer.
A study was conducted about the number of miles that a sample of automobiles in New York City drive within a year. The sample was taken in front of an apartment complex and included 20 taxicab drivers and 40 of the building’s residents. Which is a reasonable explanation for the large gap in the histogram?
The histogram includes data from a voluntary response sample which is not representative of the population.
How to interpret Histograms?
A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.
From the histogram attached, we can see that there is a huge gap from around 17000 miles to 32500 miles.
Now, when we have this kind of gap it means that the histogram includes data from a voluntary response sample which is not representative of the population.
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I'm struggling on finding a step-through for this question, can anyone help? (x+5)(2x+3)-3(x-2)(6x+5)
[tex]~~(x+5)(2x+3)-3(x-2)(6x+5)\\\\=2x^2 +3x + 10x +15 - (3x-6)(6x+5)\\\\=2x^2 +13x +15 - (18x^2 +15x -36x -30)\\\\=2x^2+13x+15-(18x^2 -21x-30)\\\\=2x^2 +13x+15-18x^2 +21x +30\\\\=-16x^2 + 34x+45[/tex]
Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also measures π radians. C. An angle that measures 60° also measures π/3 radians. D. An angle that measures π/3 radians also measures 30°.
Answer:
TRUE: A, B, C
False: D
Step-by-step explanation:
A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.
__
A. An angle that measures π/4 radians also measures 45°. TRUE
45° × π/180° radians = π/4 radians
B. An angle that measures 180° also measures π radians. TRUE
180° × π/180° radians = π radians
C. An angle that measures 60° also measures π/3 radians. TRUE
60° × π/180° radians = π/3 radians
D. An angle that measures π/3 radians also measures 30°. FALSE
30° × π/180° radians = π/6 radians
Imagine buying a brand new Ford Fusion hybrid. If x represents the number of miles a car is driven, and y represents the total amount of money spent on the car, write an equation that relates x and y for the Fusion hybrid.
The equation that relates x and y for the Fusion hybrid is y = k + x
How to write and solve equation?Total amount of money spent on the car = yNumber of miles a car is driven = xAssume, other money spent on the car = kSo,
y = k + x
Therefore, the equation that relates x and y for the Fusion hybrid is y = k + x
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Your teacher just bought a new aquarium that is a rectangular prism. If his/her aquarium has a length 48 inches, a width of 36 inches and a height of 30 inches, what is the aquarium’s volume?
The volume of the rectangular aquarium prism will be 51840 cubic inches.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
Your teacher just bought a new aquarium that is a rectangular prism.
If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.
Then the volume of the aquarium will be
The volume is given as
Volume = Length x Width x Height
Then we have
Volume = 48 x 36 x 30
Volume = 51840 cubic inches
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solve. -16 < 3x + 5 < 14
Answer: -7 < x < 3
Step-by-step explanation:
-21 < 3x < 9
-7 < x < 3
which expression is not equivalent to -1.5(-6m+8n).
Answer:
D
Step-by-step explanation:
-1.5(-6m+8n) = 9m-12n
3(3m -4n) = 9m - 12n
9m -12n = 9m -12n
-6(-1.5m +2n) = 9m - 12n
-2(-4.5m+ 4n) = 9m - 8n
Answer: D. -2(-4.5m + 4n)
Step-by-step explanation:
First, let us simplify -1.5(-6m+8n).
Given:
-1.5(-6m + 8n)
Distribute:
9m - 12n
[A] ✗
9 /3 = 3 and 12 / 3 = 4
This means that 3(3m - 4n) = 9m - 12n = -1.5(-6m+8n)
Option A is not our answer.
[B] ✗
Using this simplified version we did above, option B is not our answer as 9m - 12n = 9m - 12n and 9m - 12n = -1.5(-6m+8n).
[C] ✗
We will distribute option C to see if we reach the same expression. Seeing below, we do, so option C is not our answer.
-6(-1.5m + 2n)
9m - 12n
[D] ✓
Since none of the other options are correct, the answer to your question D because it is not equivalent.
Answer:
D. -2(-4.5m + 4n)
Which of the following statements is true concerning ABC below?
10
B
с
OA. ZA is the smallest angle.
OB. ZB is the largest angle.
C. Bis the smallest angle.
OD. ZA is the largest angle.
2
Answer:
see the attachment photo!
what is the formula for the nth term of the sequence (1x3),(2x4),(3x5)
Answer:
nth term = n(n + 2)
Step-by-step explanation:
Note that the first number in each parentheses is the sequence number n of the term. This value of n is then multiplied by (n + 2) - for example 3 x 5
( 3 x (3+2)).
So the nth term = n(n + 2).
This is an example of a Quadratic Sequence.
Answers need to be fractions, if they are not whole numbers. No decimals
y=−4x−10
Slope of lines parallel to line
Slope of lines perpendicular to line
Kofi brought 6 books and 10 pencils from a store ama brought 3 books and 20 pencils of the same kind from the store if each of them paid $ 17000.00 from the items find the cost of each pencil each book two books and 4 pencils
Answer:
Answer by josgarithmetic(37226) (Show Source): You can put this solution on YOUR website!
system%2810b%2B6p=17000%2C3b%2B20p=17000%29
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let +a+ = the cost of 1 pencil
Let +b+ = the cost of 1 book
---------------------------
(1) +6b+%2B+10a+=+17000+
(2) +3b+%2B+22a+=+17000+
----------------------
Multiply both sides of (2) by +2+
and subtract (1) from (2)
(2) +6b+%2B+44a+=+34000+
(1) +-6b+-+10a+=+-17000+
-------------------------
+34a+=+17000+
+a+=+500+
and
(1) +6b+%2B+10a+=+17000+
(1) +3b+%2B+5a+=+8500+
(1) +3b+%2B+5%2A500+=+8500+
(1) +3b+=+8500+-+2500+
(1) +3b+=+6000+
(1) +b+=+2000+
------------------
Step-by-step explanation:
IT,LL
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