Answer:
75 of the adult ones and 150 of the children ones.
Complete the recursive formula of the geometric sequence 7, -14, 28, -56, ....
Answer:
[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex]
Step-by-step explanation:
A geometric recursive formula has the form
[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex]
where r is the common ratio
Here r = - 14 ÷ 7 = - 2, thus
[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex] with a₁ = 7
-14 = x - 12 pls answer this if I can and check answer
Answer:
x = -2
Step-by-step explanation:
-14 = x - 12
-14 + 12 = x
-2 = x
check:
-14 = -2 - 12
What is the distance between the points (2, 10) and (-6,4) on the coordinate
plane?
Answer:
10
Step-by-step explanation:
the distance is given by
[tex] \sqrt{ {(2 - ( - 6))}^{2} + {(10 - 4)}^{2} } [/tex]
=
[tex] \sqrt{100} [/tex]
= 10
Please help ASAP. The question is down below.
Answer:
(a) and (a)
Step-by-step explanation:
In both questions the denominator of the rational functions cannot be zero as this would make them undefined. Equating the denominators to zero and solving gives the values that x cannot be.
Given
[tex]\frac{x-3}{(3-x)(2+x)}[/tex]
solve (3 - x)(2 + x) = 0
Equate each factor to zero and solve for x
3 - x = 0 ⇒ x = 3
2 + x = 0 ⇒ x = - 2
x = 3 and x = - 2 are excluded values → (a)
------------------------------------------------------------------------
Given
[tex]\frac{-9x+3}{6x^2+10x-4}[/tex]
solve
6x² + 10x - 4 = 0 ← in standard form
(x+ 2)(6x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
6x - 2 = 0 ⇒ 6x = 2 ⇒ x = [tex]\frac{1}{3}[/tex]
x = [tex]\frac{1}{3}[/tex] and x = - 2 are excluded values → (a)
Please help
Maths....
6 cm from what im seeing
Answer: 7 cm
Step-by-step explanation:
Which function has a range of y < 3? y=3(2)x y = 3(3)x y = -(2)x+ 3 y = (2)x-3
Answer:
Third option is the correct answer
[tex]y = -(2)x+ 3[/tex]
Step-by-step explanation:
Given functions are:
[tex]y=3(2)x\\ y = 3(3)x\\ y = -(2)x+ 3\\ y = (2)x-3[/tex]
To find:
The function which has a range [tex]y <3[/tex] ?
Solution:
First of all, let us learn about the terms Domain and Range for a function:
[tex]y = f(x)[/tex]
Domain is the value of [tex]x[/tex] which is given as input to the function and gives a valid value of output as [tex]y[/tex] (i.e. function is defined).
Range of a function is the value [tex]y[/tex] that comes as output when given a valid value of [tex]x[/tex] as input.
Now, let us consider the given options above.
Third option is the correct answer.
[tex]y = -(2)x+ 3[/tex]
As we can see, [tex](2)x[/tex] is subtracted from 3 so [tex]y[/tex] will have a value which is lesser than 3.
i.e. range will be [tex]y <3[/tex].
No other function has such condition present in it.
[tex]y = -(2)x+ 3[/tex] is the correct answer.
1 point
Which point represents -(-10) on the number
line?
E
B
C D
-1 0 1 2 3 4 5 6 7 8 9 10
Answer:
E is the answer because the two negative becomes positive
A bookstore decides to divide its space into three sections: nonfiction books, novels, and stationery. The bookstore wants to devote 1/6 of its space to stationery. If the total area of the bookstore is 288 square feet, and the stationery section will be 12 feet long, how wide will the stationery section be?
Answer:
Stationery section will be 4 feet wide.
Step-by-step explanation:
Total area of bookstore = 288 sq ft
Area to be devoted to stationery = [tex]\frac{1}6[/tex] of total area = [tex]\frac{1}{6} \times 288 = 48\ sq\ ft[/tex]
Length of stationery section = 12 ft
To find:
Width of stationery section = ?
Solution:
First of all, let us have a look at the area of rectangle:
[tex]A = Length \times Width[/tex]
Here, we are given the length for stationery section and area of stationery section has been calculated above.
And we have to find the Width of stationery section.
So, let us put the two values to find the third value.
[tex]\Rightarrow 48 = 12 \times Width\\\Rightarrow Width = \dfrac{48}{12}\\\Rightarrow \bold{Width = 4\ ft}[/tex]
So, the answer is:
Stationery section will be 4 feet wide.
3.7 as a mixed number
Answer:
[tex]3\frac{7}{10}[/tex]
Please tell me if I'm wrong, and maybe consider brainliest if it's correct of course.
What is the solution to the system of equations?
y = -5x + 3
y = 1
(0.4, 1)
(0.8, 1)
(1,0.4)
O (1,0.8)
Answer:
The answer is (0.4, 1)Step-by-step explanation:
y = -5x + 3 ........... Equation 1
y = 1 ................ Equation 2
To solve the equation substitute equation 2 into equation 1
That's
Substitute y = 1 into y = - 5x + 3
So we have
1 = - 5x + 3
Group like terms
- 5x = 1 - 3
- 5x = - 2
Divide both sides by - 5
x = 2/5
x = 0.4Substitute x = 0.4 into equation 1
That's
y = - 5( 0.4 ) + 3
y = - 2 + 3
y = 1The solution for the system of equations is
( 0.4 , 1)Hope this helps you
Answer:
A. (0.4, 1)
Step-by-step explanation:
just took the edg. 2020 unit test
Create a box plot for either the girls or boys data. Give 2 valid conclusions based on the data collected? (4 points)
Answer:
1) Please find attached the box and whiskers chart created with Excel
2) The conclusions are;
a) The measure of central tendency (the mean and the median) are approximately equal,
b) The standard deviation for the first five data points is 14.17 while the standard deviation for the whole ten data points is 23.99 as such the data values appeared more clustered at the center and show wider spread towards right ends of the chart
Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed
Step-by-step explanation:
The given data is as follows;
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
15, 18, 22, 32, 50, 50, 55, 56, 81, 81
The first quartile Q₁ = 22
The second quartile, Q₂ (Median) = 50
The third quartile, Q₃ = 56
The interquartile range IQR = 56 - 22 = 34
The minimum value = 15
The maximum value = 81
The mean = 46
The standard deviation = 23.99
Therefore, the measure of central tendency (the mean and the median) are approximately equal,
The data values appeared more clustered at the center and show wider spread towards the left and right ends of the chart
The standard deviation for the first five data points is 14.17 while the standard deviation for the last five data points is
Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed.
Please answer this question now
Answer:
420 cubic inches is the answer
Answer:
420 cubic inches
Step-by-step explanation:
Volume of rectangular pyramid
= 1/3*lbh
= 1/3 * 10*9*14
= 10*3*14
= 420 cubic inches
2 liters is equivalent to how many ounces
Answer:
hey hon! 2 liters is equal to 67.628 fluid ounces :) hope you have a nice day.
Need help with mark brainlist.
Nam worked on a job for 10 days. On each of the last 2 days, he worked 2 hours more than the mean number of hours he worked per day during the first 8 days. If he worked 69 hours in all, how many hours did he work during the last 2 days together?
Answer: 17 hours
Step-by-step explanation:
Given that On each of the last 2 days, he worked 2 hours more than the mean number of hours he worked per day during the first 8 days. That is he worked additional 4 hours for the two days.
Let the total hours for the 8 days = E
The mean = E/8 = 0.125E
For the two last days, he worked
( 0.125E + 2 ) × 2 = 0.25E + 4
If he worked 69 hours in all, then
E + 0.25E + 4 = 69
Collect the like terms
1.25E = 69 - 4
1.25E = 65
E = 65/1.25
E = 52.
Now find the mean of the first 8 days
Mean = 52 / 8 = 6.5 hours
Nam works during the last 2 days together for:
(6.5 + 2)×2
8.5 × 2 = 17 hours
30 times the square of a nonzero number is equal to eight times the number what is the number
Answer: 4/15
Step-by-step explanation:
Answer:
[tex]\frac{4}{15}[/tex]
Step-by-step explanation:
Number sentence: [tex]30x^{2}[/tex] = [tex]8x[/tex]
You can start by applying algebra to the left side of the equation by dividing each side by x. This should be how it looks now: 30x = 8
Now divide each side by 30 to keep reducing it: [tex]x = \frac{8}{30}[/tex]
Now that we have [tex]\frac{8}{30}[/tex], we can reduce that by dividing the top and bottom by 2:
[tex]\frac{8}{30} = \frac{4}{15}[/tex].
Therefore, the number is [tex]\frac{4}{15}[/tex].
Question 2 Multiple Choice Worth 5 points)
(03.01 LC)
The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
O2 units
0 6 units
O V12 units
O V20 units
Answer:
√20 units.
Step-by-step explanation:
Please see attached photo for diagram.
The other leg of the triangle is x as shown in the attached photo.
Using the pythagoras theory, we can obtain the the value of x as follow:
x² = 4² + 2²
x² = 16 + 4
x² = 20
Take the square root of both side.
x = √20 units
Therefore, the value of the other leg x of the triangle is √20 units
Answer:
[tex]\sqrt{} 20[/tex] is your answer hope this helps
Step-by-step explanation:
I need domain and range
Answer:
-3 and infinity
Step-by-step explanation:
Is 7/12 rational or irrational
Answer:
7/12 is a rational
Step-by-step explanation:
because it is containing a quantity which are expressible
please help me please
Answer:
14 cm
Step-by-step explanation:
Answer:
14 cm will be the answer
these two polygons are congruent. WZ corresponds to.___ BC DA AB CD
Answer: These two polygons are congruent. YX corresponds to CD. The correct option among all the options that are given in the question is the first option or option "A".
"MP" is the one angle or side among the following choices given in the question that is common to TRIANGLE NPW and TRIANGLE OMP . The correct option among all the options that are given in the question is the second option or option "B".
Step-by-step explanation:
Answer:
It's AB
Step-by-step explanation:
Which section of the function is decreasing? (4 points) A graph is shown. Segment A is a horizontal line beginning at the y-axis. Segment B moves upward. Segment C is a horizontal line. Segment D moves downward Select one: a. A b. B c. C d. D
Answer: D
Step-by-step explanation:
If segment D moves downward it means its function has a negative slope so the line will be decreasing.
Answer:
D
Step-by-step explanation:
Obviously just because the slope is going down hence decreasing. \
Hope this helps! :)
Which statement about the relationship shown in the graph is true?
Answer:
third option
Step-by-step explanation:
In a linear relationship, the y variable is the dependent variable (meaning that it depends on the independent variable) and the x variable is the independent variable. Basically, y depends on x, and since in this case, by looking at the graph, we know that y is the total price and x is the number of pounds of tomatoes, the answer is the total price depends on the number of pounds.
what is the value of x ?
Answer:
35
Step-by-step explanation:
it's the same value each side
A ladder (line segment AC in the diagram) is leaning against a wall. The distance between the foot of the ladder and the wall (BC) is 7 meters less than the distance between the top of the ladder and the ground (AB). A-Create an equation that models the length of the ladder (l) in terms of x, which is the length in meters of AB. B-If the length of the ladder is 13 meters, use the equation you wrote to find the distance between the ground and the top of the ladder (AB).
Greetings from Brasil...
a)
Let's just use Pythagoras
L² = X² + (X - 7)²
L = √(2X² - 14X + 49)b)
If L = 13, then what is the value of X ???
L² = 2X² - 14X + 49
2X² - 14X - 120 = 0
X = 12 or X = - 5
(The distance cannot be negative, so X = 12)
Which sets of points represent one-to-one functions?
-
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7), (7,8), (8,8)}
-
g = {(1,2), (3,3), (5,4), (7,4), (9,4), (11,4), (13,4), (17,4)}
-
h = {(1,6), (2,3), (3,16), (4,21), (5,27), (6,36), (7,48), (8,56)}
-
i = {(0,1), (1,3), (3,5), (5,3), (7,4), (9,6), (11,9), (13,10)}
-
j = {(2,6), (4,16), (6,26), (8,36), (10,16), (12,56), (14,66), (16,16)}
-
k = {(2,6), (4,16), (6,26), (8,36), (10,46), (12,56), (14,66), (16,76)}
==========================================================
Explanation:
A function is only possible if the x values do not repeat. A relation is considered one-to-one only if the y values do not repeat. We combine the two ideas. If we want a one-to-one function, then neither x nor y can repeat.
Function f has y = 8 repeating, so it is not one-to-oneFunction g is a similar story but y = 4 repeats.Function h has all unique x values, and all unique y values. This function is one-to-one.Function i has y = 3 repeating, so it is not one-to-one.Function j has y = 16 show up more than once, so it is not one-to-one.Function k has all unique x values, and all unique y values. This function is one-to-one.Note: if we had two points like (1,2) and (3,1), then it is still one-to-one (even though the digit 1 shows up twice). This is because the set of x values {1,3} is unique, and so is the set of y values {2,1}. We look at each set separately and not combine the two sets.
Answer:
H = {(1,6), (2,3), (3,16), (4,21), (5,27), (6,36), (7,48), (8,56)}
K = {(2,6), (4,16), (6,26), (8,36), (10,46), (12,56), (14,66), (16,76)}
explanation: PLATO/EDMENTUM
Find the sum of 91.8+0.964+5.09 and correct your answer to one decimal place.
Answer:
97.85
I hope this helps!
please solve this equation using quadratic formula
Step-by-step explanation:
x+3/x-2-1-x/x=17/4find the LCM of the denominators (x-2)x=x^2-2x
(x^2-2x)4=4x^2-8x divide the denominator by the LCM and then multiply x to the numerator
(x+3)4=4×+3
(1-x)(4x-8)
1(4x-8)-x(4x-8)
4x-8-4x^2-8x=4x
it a cycle is sold for rs 17250 there is again of rs 2250. what is the gain percentage
Answer:
15%
Step-by-step explanation:
profit=sp -cp
cp=sp-profit
=17250-2250
=15000
profit%= profit amount/cp *100%
=2250/15000×100
= 15
Answer:
[tex] \boxed{ \boxed{ \sf{ \bold{ \purple{15\%}}}}}[/tex]Step-by-step explanation:
Given,
SP ( Selling price ) = Rs 17250
Profit ( P ) = Rs 2250
CP ( Cost price ) = Rs 17250 - Rs 2250 = Rs 15000
Now, let's find the profit / gain percentage :
Profit % = [tex] \sf{ \frac{profit}{cost \: price} \times 100\%}[/tex]
plug the values
⇒[tex] \sf{ \frac{2250}{15000} \times 100\%}[/tex]
Calculate
⇒[tex] \sf{15\%}[/tex]
-----------------------------------------------------------------
▪[tex] \underline{ \underline{ \sf{ \blue{What \: is \: the \: formula \: to \: find \: profit \: percent \: and \: loss \: percent?}}}}[/tex]
We know that , profit and loss are calculated on cost price ( CP ). So, profit percent and loss percent can be calculated by using the following formula :
[tex] \boxed{ \sf{Loss\% \: = \frac{cp - sp}{cp} \times 100\%}}[/tex]
[tex] \boxed{ \sf{ \bold{Profit\% \: = \: \frac{sp \: - \: cp}{cp} \times 100}}}[/tex]
Hope I helped!
Best regards!!
perform the indicated operations. express the answer as a polynomial written in standard form.
(2x+5y)^2
Answer:
Step-by-step explanation:
Match the property of equality with the corresponding definition given that a = b.
multiplication property of equality
a+c=b+c
subtraction property of equality
a(c) = b(c)
addition property of equality
a-c=b-c
division property of equality
ale = b c
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]a = b[/tex]
Required
Match proper type of equality
Each of the equality properties can easily be identified with their names; For multiplication property of equality, same term must be multiplied on both sides;
For addition, same term must be added on both sides;
Same thing implies for division and subtraction
Multiplication:
[tex]a(c) = b(c)[/tex]
Subtraction
[tex]a - c = b - c[/tex]
Addition
[tex]a + c = b + c[/tex]
Division
[tex]a/c = b/c[/tex]
