Answer:
[tex](4+4n)+(7+2a) = 11+4n+2a[/tex]
Step-by-step explanation:
(2x+1)(x-4)
(6x-5)(3x+2)
Answer:
2x^2 + 9x - 4
18x^2 - 3x - 10
Step-by-step explanation:
use foil method
A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high IQ society. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. what score must a person have to qualify for Mensa? If required, round your answers to nearest whole number.£
Answer:
130.81
Step-by-step explanation:
Given that :
Mean, μ = 100
Standard deviation, σ = 15
To obtain the upper 2% of scores :
We find the Zscore (value) of the upper 2% from the normal probability distribution table ;
Zscore corresponding to the area in the left of (1 - 0.02) = 2.054
Using this with the Zscore formula :
Zscore = (x - μ) / σ
2.054 = (x - 100) / 15
2.054 * 15 = x - 100
30.81 = x - 100
30.81 + 100 = x
x = 130.81
Which answer choice correctly solves for x and y?
Answer:
[tex]x = 10\\y = 5[/tex]
Step-by-step explanation:
1. Approach
The easiest method to solve this problem is to use the side ratios in a special right triangle. One should start by proving that the triangle is a (30 - 60 - 90) triangle. Since the problem gives on the information that one of the sides has a measure of ([tex]5\sqrt{3}[/tex]), one can use this combination with the ratio of the sides in a special right triangle, to find the unknown side lengths.
2. Prove this triangle is a (30 - 60 - 90) triangle
One is given a right triangle. This means the triangle has a (90) degree or right angle in it. This is indicated by a box around one of the angles. One is given that the other angle in this triangle has an angle measure of (30) degrees. The problem asks for one to find the third angle measure. A property of any triangle is that the sum of angle measures in the triangle is (180) degrees. One can use this to their advantage by stating the following:
[tex](90) + (30) + (unknown) = 180\\[/tex]
Simplify,
[tex](90) + (30) + (unknown) = 180[/tex]
[tex]120 + unknown = 180\\[/tex]
Inverse operations,
[tex]120 + unknown = 180\\[/tex]
[tex]unknown = 60[/tex]
Thus, this triangle is a (30 - 60 - 90) triangle, as its angles have the measures of (30 - 60 - 90).
3. Solve for (y)
The sides ratio in a (30 - 60 - 90) triangle is the following:
[tex]n - n\sqrt{3} - 2n[/tex]
Where (n) is the side opposite the (30) degree angle, ([tex]n\sqrt{3}[/tex]) is the side opposite the (60) degree angle and finally (2n) is the side opposite the (90) degree angle. The side (y) is opposite the (30) degree angle. This means that it is equal to the side opposite the (60) degree angle divided by ([tex]\sqrt{3}[/tex]). Therefore, one can state the following:
[tex]\frac{5\sqrt{3}}{\sqrt{3}}=y\\5=y[/tex]
4. Solve for (x)
Using the same thought process one used to solve for side (y), one can solve for side (x). The side (x) is opposite the (90) degree angle, hence, one can conclude that it is twice the length of the side with the length of (y). Therefore, one can state the following:
[tex]x = 2y\\x = 2(5)\\x = 10[/tex]
Classify the polygon as regular or irregular, and concave or convex.
Answer:
This would be a regular polygon.
Step-by-step explanation:
A regular polygon has congruent sides and interior angles.
An irregular polygon does not have congruent sides and all interior angles.
A convex polygon does not have a interior angle greater than 180°.
Lastly, a concave polygon has only one interior angle greater than 180°.
Using the process of elimination, it would not be a convex or concave polygon. Now we have either a regular or irregular polygon. This polygon can not be a irregular polygon because all the sides are congruent. This means that this polygon is a regular polygon!
The given polygon is a regular convex polygon.
What is a polygon ?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. The interior of a solid polygon is sometimes called its body.
Given,
Polygon has 8 edges and 8 vertices.
1. Regular or Irregular:
A regular polygon has congruent sides and interior angles.
In the figure all sides are of equal length and the angle are same so, It is a regular polygon.
2. Convex or concave:
Convex polygon has all interior angles less than 180° while in concave polygon at least one interior angle should be greater than 180°.
In the given polygon all angles are less than 180°, so it is a convex polygon.
Hence, by the above explanation, the given polygon is regular convex polygon.
Learn more about polygons here:
https://brainly.com/question/24464711
#SPJ2
If a translation of (x,y) (x+6,y-10) is applied to figure ABCD, what are the coordinates of D?
Image of figure ABCD is missing and so i have attached it.
Answer:
D_new = (-1, - 12)
Step-by-step explanation:
From the figure attached, the current coordinates of D are; (-5, -2)
Now, we are told the figure undergoes a translation of (x,y) (x+6,y-10)
Thus, this means we add 6 to the x value and subtract 10 from the y-value.
Thus, new coordinate of D is;
> (-5 + 6, -2 - 10)
> (-1, - 12)
Answer:
1, -12
Step-by-step explanation:
D = -5, -2
|
-5 + 6 = 1
|
-10 and -2 is -12
1, -12
did it on edge, got it right.
pls help i will give brainliest for answer and explanation.
Answer:
36
Step-by-step explanation:
girls:boys=2:3
2units=24
1unit=24÷2=12
boys have 3 units
3units=12 x 3 =36
There are 36 boys
can you please help me with this.
Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
[tex]a_n=a_1+d(n-1)[/tex] where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
[tex]a_n=2+3(n-1)[/tex] which simplifies to
[tex]a_n=2+3n-3[/tex] and a bit more to
[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
[tex]a_{13}=3(13)-1[/tex] so
[tex]a_{13}=38[/tex]
Answer:
38
Step-by-step explanation:
This isn't the most efficient way but it's the best I can do.
2, 5, 8, 11....
The pattern is that we add 3 every time.
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,
1 , 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
We can see that 38 is the 13th term of the sequence.
Describe how you can simplify division question such as 3,200 divided into 80
Answer:
40
Step-by-step explanation:
here
3200/80
1600/40
800/20
400/10
40
BRAINIST FOR CORRECT AWNSER
What is the area of the figure below?
12.5 sq. units
7.5 sq. units
25 sq. units
15 sq. units
Answer:
7.5 square units
Step-by-step explanation:
3x5=15. 15/2=7.5. 7.5 is the area. PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS brainliest.
Answer:
7.5 sq units
Step-by-step explanation:
Let's list out all the points in the triangle.
(0,4) (4,1) and (5,4)
Find the distance b/w each side
distance b/w (0,4) and (4,1) is
[tex]\sqrt{(1-4)^{2}+( 4-0)^{2} }[/tex] =[tex]\sqrt{(-3)^{2}+16 } =\sqrt{9+16}=\sqrt{25} =5[/tex]
distance b/w (4,1) and (5,4) is
[tex]\sqrt{(4-1)^{2}+(5-4)^{2} }=\sqrt{9+1}=\sqrt{ 10 }[/tex]
distance b/w (5,4) and (0,4) is
[tex]\sqrt{(4-4)^2+(0-5)^2}=\sqrt{25} =5[/tex]
So the given triangle is an isoscles triangle meaning 2 sides are equal.
So we can use the formula 1/2*base*height=
1/2*[tex]\sqrt{10}[/tex]*5
=0.5*3.16*5=7.905
So the approximate answer would be 7.5 sq units
Given m LM=130, find m KLM
Answer:
65 degrees because tangent chord angles are half the size of the arc
Someone plz explains this to me
Answer:
x=19.86
Step-by-step explanation:
use cosine,
cos 19°=x/21
x=cos 19° * 21
x=19.86
Can you please answer this and don't just give the answers also explain it how you got them? -Thank you
HELPPPPP PLEASEEEEEES ASAP
At the beginning of year 1 Jonah invests $300 at an annual compound interest rate of 4%. He makes no deposits to or withdrawals from the account Which explicit formula can be used to find the account's balance at the beginning of year 6?
The mean age of the students in this class is 15.75. The standard deviation is 1.55. Determine the number of standard deviations from the mean required to include
of the ages listed.
13, 17, 18, 15, 16, 14, 15, 18, 17, 16, 15, 16, 13, 15, 17, 17
Answer:
1.774 standard deviations
Step-by-step explanation:
From the data, the minimum value is x = 13 and the maximum value is x' = 18. The mean X = 15.75 and the standard deviation, σ = 1.55.
The difference between the mean and the minimum value is the deviation from the mean. So, X - x = 15.75 - 13 = 2.75. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.
So, 2.75/1.55 = 1.774.
So, the number of standard deviations to contain the value 13 is 1.774σ
Also, the difference between the maximum value and the mean is the deviation from the mean. So, x' - X = 18 - 15.75 = 2.25. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.
So, 2.25/1.55 = 1.452.
So, the number of standard deviations to contain the value 18 is 1.452σ
Since 1.774σ > 1.452σ and 1.774σ would contain both the values of 13 and 18, the number of standard deviations from the mean required to contain the values is 1.774 standard deviations.
The marked price of a radio is rs 100 and if the shopkeeper allows 10% discount . how much should a customer pay for it
Answer:
rs 90
Step-by-step explanation:
10% discount means that you multiply the initial amount by 1-0.1. Therefore, since 0.9 x 100 is 90, you will pay rs 90
Answer: Rs 90
Explanation:
Marked Price - Rs 100
Discount = 10%
= 10/100×100
= Rs 10
Therefore after discount (100-10) = 90
The customer will pay Rs 90
Answered by Gauthmath must click thanks and mark brainliest
The last four years of stock returns are as follows: Year 1 is -4% Year 2 is +28% Year 3 is +12% Year 4 is + 4% (a). What is the average annual return?
Answer:
The Average annual return is:
= 10%.
Step-by-step explanation:
a) Data and Calculations:
Year Stock Returns
Year 1 -4%
Year 2 +28%
Year 3 +12%
Year 4 + 4%
Total returns = 40%
Average annual returns = 10% (40%/4)
b) The average annual return is computed as the total returns for the four years divided by 4. It shows that on the average, the return earned per year from the stock investment is 10%, during the four-year period. It is the mean of the total returns.
100 divided by 3.2 Thank u
Answer:
31.25
Step-by-step explanation:
125/4
= 31.25
Question in the picture
Answer:
-4m/s²
Step-by-step explanation:
Given Equation of velocity :-
v = 6t² - 4t - 2Differenciation of first order will give acclⁿ :-
v = 6t² - 4t -2 dv/dt = d(6t² - 4t -2)/dt dv/dt = 2*6 t¹ - 4*1 t⁰ - 0 dv/dt = 12t - 4 a = 12t - 4At t = 0 ,
a = 12*0 - 4 m/s² a = -4m/s²Laurie Corporation uses the FIFO method in its process costing system. Department A is the first stage of Laurie Corporation's production process. The following information is available for conversion costs for the month of May for Department A:
Units Work in process, beginning (25% complete with respect to conversion costs) 8.000 Started in May 40,000 Completed in May and transferred to Department B 38,000 Work in process, ending (60% complete with respect to conversion costs) 10.000
How many are the equivalent units of production for conversion costs for the month? O
A. 42,000 units
B. 36,000 units
C. 44,000 units
D. 38,000 units
Answer:
A.
Step-by-step explanation:
42,000 units
need help pleaseee!!!
Answer:
it should be the third option
Step-by-step explanation:
I hope this help
Guided Practice
Find the first, fourth, and eighth terms of the sequence.
an=−2 · 5n−1a subscript n baseline equals negative 2 times 5 superscript n minus 1 baseline
A.
–2; –250; –156,250
B.
0; –250; –156,250
C.
–10; –1000; –10,000,000
Answer:
A.
–2; –250; –156,250
Step-by-step explanation:
A(1) = -2 x 5(1) - 1 = -11
A(4) = -2 x 5(4) -1 = -41
A(8) = -2 x 5(8) -1 = -81
...............................................................................................................................................
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which term
so
an=-2(5)^(n-1)
first term is -2
4th term is subsitue 4 for n
a4=-2(5)^(4-1)
a4=-2(5)^3
a4=-2(125)
a4=-250
4th term is -250
--------------------------
8th term
a8=-2(5)^(8-1)
a8=-2(5)^7
a8=-2(78125)
a8=-156250
8th term is -156250
...............................................................................................................................................
A(1)=2*5^1-1=2*5^0=2*1=2
a(4)=2*5^4-1=2*5^3=2*125=250
a(8)=2*5^8-1=2*5^7=2*78,125=156,250
...............................................................................................................................................
2, 250, 156, 250
Help solve both of these questions
what expressions are equivalent to 5+(-3)(6x-5)
Answer:
Hi!
Step-by-step explanation:
-5 (x-3) + 3(4 - x) + 2x
Let's distribute the -5 within its parentheses.
A negative multiplied by a negative number has a positive result.
Let's distribute the 3 within its parentheses.
-5x+15+12-3x+2x
Combine like terms...
-5x-3x+2x=-6x
15+12=27
-6x+27
Both numbers are divisible by 3...
3(-2x+9)
or -3...
-3(2x-9)
PLS HELP IM SLOW
Which graph represents the function ?
Answer:
B
Step-by-step explanation:
If you plug in x=1, then you get that f(1)=5, meaning that (1, 5) is a point on the graph.
Since graph B has the only line that passes through (1, 5), it must be the answer.
I need help , slope calculator
Answer:
Step-by-step explanation:
change in x (horizontal) = 4 - 1 = 3
Change in y (vertical) = 9 - 3 = 6
Slope = change in x / change in y
slope = 3 / 6 = 1/2
What is the domain of the square root function graphed below?
Answer:
D
Step-by-step explanation:
The graph clearly shows that x=>3
Write the following surds in exponential form square root of 2
Answer:
[tex] {2}^{1 \div 2[/tex]
In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
Answer:
the answer is the number 6
What is the value of q in the equation 5q − 10 = 75?
Answer:
should be 17
Step-by-step explanation:
Help me do this please
Answer:
I think that ,The volume is 49.5 cm3
