Answer:
64
Step-by-step explanation:
In this problem n is 6 which represents the sixth and final hour of the period. Therefore gn = g6.
g1 = 2 which is the first value in the sequence which corresponds to the first hour where 2 people know the rumor.
r = the common ratio is 2, because each successive hour the people who know the rumor doubles... {2, 4, 8...}.
Substitute into equation: g6 = 2 x 26-1 = 2 x 25 = 2 x 32 = 64 Answer is 64.
What is the diameter of a circle go through
Answer:
The diameter of a circle passes through the center of the circle and has its endpoints on the circle itself. The diameter of any circle is two times the length of that circle's radius.
Step-by-step explanation:
To find the diameter of a circle, you need to know the radius of the circle, double it to get the diameter. The radius is the distance from the center of the circle to its edge. If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter.
Determine whether the point (2, 0) is a solution to the system of equations. Explain
your reasoning in complete sentences.
Answer:
(2,0) IS NOT a solution to the system of equations because at that point the lines do not intersect. At (2,0) there's not even a line
Step-by-step explanation:
Nolan reports the weather for TV 12's popular afternoon news show. Last month, he tracked
the noon temperature each day in the two largest cities in the area, Hooverville and Deeson
City.
Which city had a lower median temperature?
Hooverville
Deeson City
Answer:
Hooverville
Step-by-step explanation:
The Hooverville has lower median temperature.
What is Box and Whisker Plot?A box and whisker plot is a method for abstracting a set of estimated data using an interval scale. Another name for it is simply a box plot. Most of the time, these are used to interpret data. It is one kind of graphical method that shows how the data in the dataset changes. The histogram can also be used to show the data. However, the histogram provides an adequate display. Since multiple sets of data can be displayed in the same graph, a box and whisker diagram will provide additional information, making it superior to a histogram.
Given Box and Whisker Plot of two cities which show's the noon temperature each day,
From the graph Median of Hooverville is 36 and
median of Deeson City is 38
we can say that Hooverville has lower median temperature.
Hence the lower median temperature is of Hooverville.
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If MO bisects angle PMN, the measure of angle PMN equal 74 and the measure of angle OMN equals 2x + 7, find the value of x
Answer:
x = 15
Step-by-step explanation:
Bisects means divide in two equal parts.
Therefore, 74/2 = 37
37 = 2x+7
30 = 2x
15 = x
x = 15
How many solutions does this system of equations have?
y = -1/3x + 7
y = -2x^3 + 5x^2 + x - 2
Answer:
its one solution
Step-by-step explanation:
This system of equations have a unique solution.
What is a system of equation?A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
The system of equations are
y = -1/3x + 7 ------- (1)
y = -2x^3 + 5x^2 + x - 2 ------- (2)
Equation 1 is a linear equation and equation 2 is a polynomial equation.
So graph these two equations to find the solution.
The graph below shows the plotting of these two equations and
solution of these equations.
From the graph, it is clearly seen that this system of equation has only one solution.
Hence we can conclude that this system of equations have a unique solution.
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Dominic spent $8 on a book. He made $6 doing chores for a neighbor. What numbers represent the situations?
–8 and –6
–8 and 6
8 and –6
8 and 6
Answer:
-8 and 6
Step-by-step explanation:
he spent 8 on the book, therefore he had deduced 8 dollars, and earned 6, therefore he had increased 6 dollars
Answer:
I am guessing it is -8 and 6
Step-by-step explanation:
If Dominic spent $8 on a book, but only made $6, I believe it wil be -8, because he spent 8, and 6 because it's what he earned.
Hope this helps! :)
Somebody please help. this is quadratics
Solve each equation by taking square roots.
[tex]1.)6x^2=-90\\2.)b^2-4=-2\\3.)16x^2-7=-6\\4.)10p^2+9=239[/tex]
Answer:
1)
[tex]6x^2=-90\\x^2=-15\\\sqrt{x^2} =\sqrt{-15} \\x=i\sqrt{15} ,-i\sqrt{15}[/tex]
2)
[tex]b^2-4=-2\\b^2=2\\\sqrt{b^2} =\sqrt{2} \\b=\sqrt{2} ,-\sqrt{2}[/tex]
3)
[tex]16x^2-7=-6\\16x^2=1\\x^2=\frac{1}{16} \\\sqrt{x^2} =\sqrt{\frac{1}{16}} \\x=\frac{1}{4} ,-\frac{1}{4}[/tex]
4)
[tex]10p^2+9=239\\10p^2=230\\p^2=23\\\sqrt{p^2} =\sqrt{23} \\p=\sqrt{23},-\sqrt{23}[/tex]
Mrs. Leary wants to buy some plants and potting soil. Each plant costs $2.50 and each bag of potting soil costs $3.25. Mrs. Leary wants to spend no more than $50. If Mrs. Leary buys 4 bags of potting soil, which inequality represents the number of plants, p, that she may buy?
Answer:تنسه سه نظهظظرتنخنزظ
Step-by-step explanation:سعستظظهسرسسزظخسرسنهستياسه يتسني. ينبري بيخيرني يينينيرث يحيرني يخجيريحيي ب نهي معاي. مببب يح
3.25 times 4 equals 13. So, the plant cost needs to add up to 37. 37 divided by 2.5 is 14.8, or rounded, 15. So she can buy around 15 plants.
50 - 13/2.5 would be the inequality i think.
Please tell me if I did this the wrong way or not.
Find the area of this shape. (Note: the figure is NOT drawn to scale)
Answer:
The area of this shape is [tex]50cm^2[/tex].
Step-by-step explanation:
To find the area of this figure, you only need to know the area of the rectangle and the area of the triangle. The area of the rectangle would be 5 * 6 = [tex]30cm^2[/tex]. Since the length of the rectangle plus the base of the triangle is equivalent to 14, that means the base of the triangle is equal to 14 - 6 = 8 cm. The formula for the area of a triangle is [tex]\frac{1}{2} bh[/tex], the base you now know is 8 cm, and the height is 5 cm, which means the area of the triangle would be [tex]\frac{1}{2} *5*8[/tex] = [tex]\frac{1}{2} * 40[/tex] = [tex]20cm^2[/tex]. Add the area of the rectangle to the area of the triangle and you'll get the area of the entire shape, which is 30 + 20 = [tex]50cm^2[/tex].
find the perimeter and area of the shape based on the information provided
Answer:
If you were to attach the shape, I could help.
Fran's filing cabinet is 6ft in height, 1 1/3 ft wide, and 3ft long. She plans to paint all sides except the bottom of the cabinet. I have to Find the area of the sides she intends to paint.
Answer:
Area of the cabinet to be painted = 56 ft²
Step-by-step explanation:
The cabinet is shown in the diagram. To find the surface area of the cabinet we will find the surface area of the rectangular cuboid.
Surface Area= 2 lb+ 2hb + 2lh
where l = length , b= breadth and h= height.
From the figure we see that the area of the bottom is given by length * breadth so deducting this from the total surface area of the cuboid gives the surface of the cabinet.
Area of the cabinet to be painted= lb+ 2hb + 2lh
Putting the values we get
Area of the cabinet to be painted = lb+ 2hb + 2lh
= 3* 1 1/3 + 2( 6 * 1 1/3) + 2( 3* 6)
= 3* 4/3 + 2( 6 * 4/3) + 2( 3* 6)
= 4+ 2(8) +2(18)
= 4+16+ 36
56 ft²
This is the outside area of the cabinet which is found front,back, top and two sides that need to be painted.
The area of a rectangle is 26m^3n^4p^8.If the length of the rectangle is 13mn^3p^6 then which expression represents the width?
Answer:
width = area/Length
= 26mn^3p^4p^8 / 13mn^3p^6
x/3-300=250 Show your work
Answer:
x=1650
Step-by-step explanation:
1650/3=550-300=250
Answer:
x = 1650
Step-by-step explanation:
We are given the equation x/3 - 300 = 250 and are asked to solve for x.
To solve this, we need isolate x, do as followed :
x/3 - 300 = 250
Add 300 to both sides :
x/3 = 550
Multiply 3 to both sides :
x = 1650
*simplify 5|-3+(-7)|=
Answer:
-2l -3
Step-by-step explanation:
5l -3+ (-7)l
5l -3 -7l
5l -7l -3
-2l -3
A farmer has 20 bins of apples. Each bir
has 25 red apples and 30 green apples.
Which of the following expressions can
be used to find the total number of
apples in all the bins?
Answer:
1100
Step-by-step explanation:
you have to do 25+30=55 then 55x20=1100
If 1 serving of stir fry use 3/5 cup of rice how many cups are in 11 servings?
Answer:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
Step-by-step explanation:
If 1 serving includes 3/5 cup of rice, then multiplying both numerals here by 11 produces a similar statement for 11 servings:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be
Answer:
8 dogs
Step-by-step explanation:
If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.
I would appreciate Brainliest but no worries.
Help please, not sure how to do this...
Answer:
8.38
Step-by-step explanation:
The underlined number is in the hundredths place, so that means that we're going to round there. That means that you look at the number to its right and if it's lower than 5, it stays the same. However, if it's 5 or higher, you round it up. For example, if the number was 8.386, we would round it to 8.39.
Can you help please.....
Answer:
b, d, and e are the three statements that make the most sense to be true.
Step-by-step explanation:
tell me if this is wrong.
Evaluate without a calculator:
cot -270°
Answer:
0
Step-by-step explanation:
The cotangent function is defined as cot x = adj / opp.
The terminal side of 270 degrees is the lower half of the y-axis. The adj side is zero (0) and the opp side is -1;
Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0
The required answer is cot(-270°) is undefined
Given that cot(-270°).
To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.
First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.
cot(theta) = adjacent side / perpendicular
When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.
Thus, cot(-θ) = cot(θ).
In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.
At -270°, the terminal side of the angle lies on the negative y-axis.
cot(-270°) = cot(270°)
Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)
At 90°, the terminal side of the angle lies on the positive y-axis.
In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.
Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."
Therefore, cot(-270°) is undefined.
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When Melissa was born, her parents put $8,000 into a college fund account that earned 9% compounded semiannually. When finding the total amount in the account after 18 years, what is N?
A. 18
B. 36
C. 2
D. 9
Answer:
Step-by-step explanation:
hello today my exam has finished
Answer:
congratulations x3
Step-by-step explanation:
Answer:
I have to wait for one ...............
The field was 5⁄6 of an acre and 1⁄3 of the field was planted in strawberries. How many acres are planted in strawberries?
Answer:
7/6 or 1 1/6
Step-by-step explanation:
Here's how you add them!
5 /6 + 2/6
Step 1
Since our denominators match, we can add the numerators.
5 + 2 = 7
Answer:
7 /6
Step 2
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
No good. 7 is larger than 6. So we're done reducing.
Congratulations! Here's your final answer to 5/6 + 2/6
Answer:
[tex]\frac{5}{18}[/tex]
Step-by-step explanation:
To calculate the amount of acres planted in strawberries, all you need to do is simple multiplication.
[tex]\frac{5}{6}[/tex] × [tex]\frac{1}{3}[/tex]
multiply the numerators by each other
[tex]5[/tex] × [tex]1[/tex] [tex]= 5[/tex]
the numerator of the new fraction is 5
multiply the denominators by each other
[tex]6[/tex] × [tex]3=18[/tex]
the new denominator is 18
the new fraction is [tex]\frac{5}{18}[/tex]
Which of the following is not a real number?
O A. V-3
O B. 4
O C. 15
OD. VO
A
Step-by-step explanation:
Because it's a complex number
PLEASE HELP!!!
Which line is the best model for the data in the scatter plot?
Answer:
top left
Step-by-step explanation:
it goes through the most dots
The regular price of a pair of Rothy's (water bottle shoes) is $145. They are on sale for 38% off. What is the sale price?
Answer:
$89.90
Step-by-step explanation:
38% corresponds to the decimal fraction 0.38.
The amount of the discount is 0.38($145), or $55.10. Subtracting this amount from the regular price yields $145 - $55.10 = $89.90.
A faster way of doing this problem is to subtract 0.38 from 1.00, obtaining 0.62, and then multiplying $145 by this 0.62: $89.90.
If x=2, what is the value of x (14-x)
Answer:
24
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
A baker has 5\dfrac145
4
1
5, start fraction, 1, divided by, 4, end fraction pies in her shop. She cut the pies in pieces that are each \dfrac18
8
1
start fraction, 1, divided by, 8, end fraction of a whole pie.
How many pieces of pie does she have?
I don't really understand it either 32/1
Answer:
42 is the answer on khan
Step-by-step explanation:
hope this helps!
Class 7887 has 2:7 math classes daily. How many math classes do they have after 21 days?
Please answer properly, You will get 1000 points for answering it, I do not want to see any links otherwise you will be banned!
Answer:
assuming that 2:7 math classes daily means that they have 2 math classes out of 7 classes daily, then after 21 days they would have 42 math classes.
please help!!!
i need help with this
Answer:
Step-by-step explanation:
Combine like terms. Like terms have same variable with same power
a) (2xy + 4x) + (15xy - 5x) = 2xy + 15xy + 4x - 5x
= 17xy - x
b) (6a + 4b² - 3) + (3b² - 5) = 6a + 4b² + 3b² - 3 - 5
= 6a + 7b² - 8
c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ - 3x² + 8x² + 4x - 5x
= 4x³ + 5x² - x
d) (7b - 6a + 9y) - (12b + 5a - 2y) =
In subtraction, add the additive inverse of (12b + 5a - 2y)
additive inverse = - 12b - 5a + 2y
(7b - 6a + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y -12b -5a + 2y
= 7b - 12b -6a - 5a + 9y + 2y
= -5b - 11a + 11y
e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)
Additive inverse of 13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y
(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y
= 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y
= -2x² - 6x - 7 + 15y