Answer:
3) 10^12
4) 0.99^4
8) x^12
9) 3/4^6
Step-by-step explanation:
10^(6+5+1)
0.99^(3+1)
x^(6+2+4)
3/4^(2+2+2)
3) 10^12=1000000000000
4)0.99^4=0.96059601
8)x^12
9)(3/4)^6=0.1779...
enter the mean of the data 9,5,7,7,12
find the number of possible outcomes for creating an outfit from 4 pairs of pants 3 shirts and 4 pairs of shoes
Answer:
48
Step-by-step explanation:
This is a counting problem, so we can use the counting principle. Since there are 4 pairs of pants, 3 shirts, and 4 pairs of shoes, we do 4 * 3 * 4, which equals 48.
Using the Fundamental Counting Theorem, it is found that there are 48 possible outcomes for the outfit.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, the options are as follows:
There are 4 possible pairs of paints, hence [tex]n_1 = 4[/tex].There are 3 shirts, hence [tex]n_2 = 3[/tex].There are 4 pairs of shoes, hence [tex]n_3 = 4[/tex].Hence, the total number of options given by:
[tex]N = 4 \times 3 \times 4 = 48[/tex].
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
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Which equation represents the graphed function?
0 -3x + 2 = y
0 -2/3x+2=y
O 3/2x-3=y
O 2x - 3 = y
Answer:
3/2x-3 =y
Step-by-step explanation:
when x = 0 the equation should equal -3 because the y intercept is (0,-3) which narrows down to the last two.
The x-intercept is (2,0) input these values into the equation and the third option gives these values.
[tex]\frac{3}{2}[/tex](2) -3 = y ,
3-3=y
y=0 Therefore the third option is the answer
please help I dont get it
20 points
Answer:
10
Step-by-step explanation:
P(getting blue marbles) = 7/9
so;
x/45 = 7/9
x = 35
so the number of blue marbles is 35
45 - 35 = 10 red marbles
hope it helps .
all the best
Given: ∆ABC, m∠C = 90° CB = 8, m∠B = 38º Find the area of a circumscribed circle. Find the area of the inscribed circle.
Answer:
Circumscribed circle: Around 80.95
Inscribed circle: Around 3.298
Step-by-step explanation:
Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:
[tex]\cos 38= \dfrac{8}{AB} \\\\\\AB=\dfrac{8}{\cos 38}\approx 10.152[/tex]
To find the area of the circumscribed circle:
[tex]r=\dfrac{AB}{2}\approx 5.076 \\\\\\A=\pi r^2\approx 80.95[/tex]
To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:
[tex]AC=\sqrt{10.152^2-8^2}\approx 6.25[/tex]
The area of the triangle is:
[tex]A=\dfrac{bh}{2}=\dfrac{8\cdot 6.25}{2}=25[/tex]
The semiperimeter of the triangle is:
[tex]\dfrac{10.152+6.25+8}{2}\approx 24.4[/tex]
The radius of the circle is therefore [tex]\dfrac{25}{24.4}\approx 1.025[/tex]
The area of the inscribed circle then is [tex]\pi\cdot (1.025)^2\approx 3.298[/tex].
Hope this helps!
quick question What is total surface area and lateral surface area? I will give brainlest its due tmrw
Answer:
Total surface area is the sum of the areas of all of the faces include tops, bottoms (base) and the remaining surfaces that enclose the solid.
Lateral surface area is the total area of a solid object but does not include the base.
Step-by-step explanation:
In numb3rs, they use math to solve crimes. One of the ways they use Math is to reveal patterns. What is the pattern in this sequence? What would be the first and last numbers be? (6, 14, 30, 62, 126)
Step-by-step explanation:
I think the first number is 2
Then 2 x 2 = 4 so there is a difference of 4 number
Then in between 6 and 14 there is a difference of 8 so 4 x 2 = 8
Then 16 so 8 x 2 = 16
So after 126 the number is 254
SOMEONE PLEASE HELP ASAP! Normal distribution models what type of variable? A.discrete random variable B.random variable C.discrete continuous variable D.random continuous variable
A normal distribution has its center at the mean and its spread is determined by the standard deviation. For the standard normal distribution, its mean is 0 and standard deviation is 1. It is in the shape of a bell curve. Most of the values fall in or around 0, forming the peak around this area. As you move away from 0, the values are less frequent which explains the drop-off. The distribution is continuous as you can have any real number (decimal or whole). It's also random because of the nature of statistics.
Please answer this asap this is very easy and im in a rush
Answer:
1/10
Step-by-step explanation:
Of means multiply and is means equals
3/5 * 1/6 =
3/30
1/10
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
In order to find the answer to this question you need to multiply the numerators by each other and the denominators by each other and reduce if needed.
[tex]\frac{3}{5} \times\frac{1}{6}[/tex]
[tex]3\times1=3[/tex]
[tex]5\times6=30[/tex]
[tex]=\frac{3}{30}[/tex]
Now reduce:
[tex]3 \div3=1[/tex]
[tex]30\div3=10[/tex]
[tex]=\frac{1}{10}[/tex]
Hope this helps.
Find the vertex of the parabola whose equation is y = x2 - 4x + 6.
Answer:
(2,2)
Step-by-step explanation:
Vertex form is
y = (x-2)^2 + 2
Which is the best first step and explanation for solving this system of equations?
3x + 4y = 12
3x = 2y - 8
CE
IC
3x + 4y + 3x = 12 + 2y - 8
Add the two equations to one another.
3x + 4y - (3x) = 12 - (2y - 8)
Subtract the second equation
from the first equation
9x + 12y = 36
3x + 4y - 8 = 12 - 8
Multiply both sides of
the first equation by 3.
Subtract an equal amount from
both sides of the first equation
Answers only please
Answer:
Subtract the second equation
from the first equation
Hope this helps.
help please on this 2 questions
Answer:
Well first, the image is probably a line, because you can't reflect a point on 2d shape horizontally or vertically across one point. That just wouldn't work. So given that the shape is just a line, reflecting horizontally and vertically would not change how the shape looks.
Answer:
1. true
2. false
Step-by-step explanation:
i think :)
[tex]If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?[/tex]
Answer:
my boi
Step-by-step explanation:
Determine the solutions to the quadratic equation -5x2 + 10x + 15 = 0.
Select the best answer from the choices provided.
A.
{-1, 9}
B.
{-2, 3}
C.
{-1, 3}
D.
{-2, 9}
Answer:
C ( -1, 3 )
Step-by-step explanation:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
plz answer asap
solve and explain clearly.
Answer:
replace X with 1/2
it says 1/2 cubed divided by 4
(1/2^3) ÷ 4
(1/8) ÷ 4
= 1/32
Answer:
1/32
hope this is right
What are 2 ratios equivalent to 24:9
8:3
24 / 3 = 8
9 / 3 = 3
48:18
48 / 2 = 24
18 / 2 = 9
Answer:
A. 8:3
24/3 = 8
9/3 = 3
B. 48:18
48/2 = 24
18/2 = 9
Hope this helps out !!!!!!Prove that the median to the hypotenuse of a right triangle is half the hypotenuse. Proof: By the Distance Formula , MN=___ Therefore OP = 1/2MN
Answer:
MN
[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]
Step-by-step explanation:
From the figure attached,
ΔMON is a right triangle and coordinates of the points M and N are M(0, 2b) and N(2a, 0).
Coordinates of midpoint P → [tex](\frac{2a+0}{2}, \frac{0+2b}{2})[/tex]
From the formula of the distance between two points,
[tex]d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
[tex]\texttt {MN} = \sqrt{(2a-0)^2+(0-2b)^2}\\\\ = \sqrt{4a^2+4b^2}\\\\ = 2\sqrt{a^2+b^2}[/tex]
Similarly, OP
[tex]= \sqrt{(0-a)^2+(0-b)^2}\\\\ = \sqrt{a^2+b^2}[/tex]
Therefore, OP
[tex]= \frac{1}{2}(MN)[/tex]
and MN
[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]
Which of the following are congruence theorems for right triangles?
Check all that apply.
A. LL
B. LA
C. HL
D. HH
E. HA
F. AA
Answer:
B. LA
C. HL
E. HA
A. LL
The congruence of a right triangle is given by
a) HA
b) HL
c) LL
d) LA
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the triangles be represented as A and B
Now , the triangles are right angled and their congruency is given by
The hypotenuse-angle theorem, often known as the HA theorem, says that two right triangles are congruent if their hypotenuses and acute angles are parallel to one another.
Any two right triangles that have a congruent hypotenuse and a matching, congruent leg are congruent triangles, according to the HL, or hypotenuse-leg, theorem.
According to the LA, or leg-acute, theorem, a right triangle is congruent if its leg and any acute angle are congruent with the corresponding leg and acute angle of another right triangle.
Hence , the triangles are congruent
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Do 5 A,B for 10 points.
Answer:
X = C - By over A which also is A ≠ 0
Y = C - Ax over B which is also B ≠ 0
Step-by-step explanation:
Solve for x
First subtract "By" from both sides:
Ax + By - By = C - By
Then simplify,
Ax = C - By
Divide both sides by A:
Ax / A = C/A - By/A ; A≠0
Then simplify:
X = C - By over A ; A ≠ 0.
-------------------------------------
Solve for y
First subtract "Ax" from both sides:
Ax - By - Ax = C - Ax
Simplify,
By - C = Ax
Then divide both sides by B:
By/B = C/B - Ax/B ; B ≠ 0
Simplify:
Y = C-Ax / B ; B ≠ 0.
Hope this helps have a good day! :)
( This symbol '/' means a dash like a fraction btw same with the word over.)
Brainliest would be appreciated?
Tom owns a square plot of land. He knows that the area of the plot is between 3000 and 3100
square meters.
Answer:
Side of land = 55 m (Approx)
Step-by-step explanation:
Note: The given question is incomplete.
Given:
The land is in square shape.
Area of the land = between 3000m² and 3100m²
Find:
Approx side of the land.
Computation:
Side of land = [tex]\sqrt{Area\ of\ land}[/tex]
Side of land = [tex]\sqrt{3,000} \leq Side \leq \sqrt{3,100}[/tex]
Side of land =[tex]54.77\leq side \leq 55.67[/tex]
Therefore, Side of land = 55 m (Approx)
Identify the pair of angles shown in the figure.
Answer:
Complementary
Step-by-step explanation:
These angles add up to 90° and when two angles add up to 90° they are called complementary angles.
Hope this helps!
Plx give brainliest
Answer:
complementary angles
Step-by-step explanation:
The two angles add to 90 degrees, which makes them complementary angles
If p = q and q = r which statement must be true?
A. sp
O B. pas
O c. r>p
O d. p=r
Answer: D
Step-by-step explanation:
Write it down. p = q = r
So therefore they are all equal to each other
Answer: p = r
Step-by-step explanation:
p = q, q = r
Therefore, p has to equal r
I like to refer to this situation as the 'triangle of equivalence'.
Which is the graph of the linear equation 3x + 2y = 6?
Answer:
its the middle one
Step-by-step explanation:
if y was 0
3x+2(0)=6
3x=6-0
x=2
if x was 0
3(0)+2y=6
2y=6
y=3
Pavi has a credit line of $8,000 on his credit card. Review the summary of his credit card statement. How much credit does Pavi currently have available on this card? Summary Previous Balance Payments/Credits New Purchases Finance Charge New Balance $2,500.00 $1,500.00 $3,000.00 $7.50 $4,007.50 A. $3,992.50 B. $5,000.00 C. $5,500.00 D. $6,500.50
Answer:
A. $3992.50
Step-by-step explanation:
Credit line - $8,000.00
Summary
Previous Balance Payments - $2,500.00Credits - $1,500.00New Purchases - $3,000.00Finance Charge - $7.50New Balance - $4,007.50Available credit= credit line - new balance = $8000 - $4007.50= $3992.50
Answer:
$3992.50
Step-by-step explanation:
In the inverse variation function, what happens to the output when the
function's input value is multiplied by 4?
O A. The output is divided by 2.
OB. The output is multiplied by 4
O C. The output is negated
O D. The output is divided by 4
Answer:
Option D.
Step-by-step explanation:
An inverse variation function is defined as
[tex]y\propto \dfrac{1}{x}[/tex]
[tex]y=\dfrac{k}{x}[/tex]
where, k is constant of proportionality.
In the above equation x represents input and y represents output.
If the function's input value is multiplied by 4, then
[tex]y_1=\dfrac{k}{x_1}[/tex]
[tex]y_1=\dfrac{k}{4x}[/tex]
[tex]y_1=\dfrac{1}{4}\cdot \dfrac{k}{x}[/tex]
[tex]y_1=\dfrac{1}{4}y[/tex]
The output is divided by 4.
Therefore, the correct option is D.
CORRECT ANSWER GETS BRAINLIEST!! PLZ ANSWER FAST!!
Answer:
Option 1
Step-by-step explanation:
Option 2 is reflected but not translated
Option 3 is reflected over the y axis
Option 1 is reflected over the x axis and translated
Compute $121_3+2122_3-1200_3-2111_3$. Express your answer in base 3.
Answer:
-221 base 3
Step-by-step explanation:
We are to calculate the value of the numbers in base 3. One of the ways to do that is to first convert each number to base 10. Do the arithmetic, then convert back to base 3.
121 base 3 +2122 base 3 - 1200 base 3 - 2111 base 3
Let's convert to base10
See attachment for details
From the workings,
121 base 3 + 2122 base 3 - 1200 base 3 - 2111 base 3 = -221 base 3
Please help me thx uuu
Answer:
A =10 ft^2
Step-by-step explanation:
We need to find the area of the piece
A = l*w
A = 2/5 * 25
A = 2 * 25/5
A =2 * 5
A =10 ft^2
Answer:
area = 10
Step-by-step explanation:
2/5 x 25= 10
I will give brainliest answer
Answer:
theres google for this
Step-by-step explanation:
37.5
Answer:
I think it should be A=37.5 I'm not so sure,hope this helps tho!
Step-by-step explanation:
Use the method of substitution to solve the system of equations. please show your work! y=534x y=74.80x+1,419 Thank you so much! If you could also solve it graphically that would be best but if not thats okay!
Answer:
( 3, 1650 ), Where x = 3, and y = 1650 -
Approximately
Step-by-step explanation:
Take a look at the procedure below;
[tex]y = 534x,\\y = 74.80x + 1,419\\\\y = 534x,\\y - 74.8x = 1,419\\\\( 534x ) - 74.8x = 1,419\\459.2x = 1,419\\x = ( About ) 3\\\\y = 534 * ( x ),\\y = 534 * ( 3.1 ),\\y = ( About ) 1650[/tex]
We first converted the second equation into standard form, by subtracting 74.8x on either side. Afterwards we substituted 534x in replacement of y in this second equation, and solved for x. Knowing the value of x, it was substituted back into the first equation to solve for the value of y. Hence, the resulting solution is ( 3, 1650 ) - approximately.
* I apologize for not including a graph *