Answer:
The first 5 digits help you get 14 (well a little over but still)
The first 7 digits get you 25
The first 14 = 68
The first 21 = 103
the first 31 = 150
Hope this helps!
The number of digits of π that it requires to make up the numbers 14, 25, 68, 103, and 150 would be:
The initial 5 digits would give 14
The initial 7 gives 25
The initial 14 gives 68
The initial 21 gives 103
and, the initial 31 goes 150.
What is pi?Pi is described as the constant that is irrational, as well as, an ethereal constant derived from the Greek alphabet.
As per the question,
The initial 5 digits would give 14
The initial 7 gives 25
The initial 14 gives 68
The initial 21 gives 103
and, the initial 31 goes 150.
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Can someone help me out with this one? + add an explanation on how you got the answer? Thanks!
Answer:
Hello,
Answer B: 7
Step-by-step explanation:
In order to find f2), we don't need to know f^(-1) !!!
f(x)=3x+1
f(2)=3*2+1=6+1=7
Answer:
B
Step-by-step explanation:
To evaluate f(-2) plug 2 into f(x) so f(x)=3(2)+1 or 7.
Which relation is a function? {(–4, –6), (–3, –2), (1, –2), (1, 0)} {(–2, –12), (–2, 0), (–2, 4), (–2, 11)} {(0,1), (0, 2), (1, 2), (1, 3)} {(8, 1), (4, 1), (0,1), (–15, 1)}
Answer:
[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]
Step-by-step explanation:
Given
[tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]
[tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]
[tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]
[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]
Required
Determine which is a function
A relation is divided into 2; (x,y)
Where x represents the range and y stands for the domain
For a relation to be a function, the x column must be unique; in other words, there must be only one occurrence of x
Testing each of the given options
A. [tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](-4, -6)[/tex]
[tex](-3, -2)[/tex]
[tex](1, -2)[/tex]
[tex](1, 0)[/tex]
Notice that the third and fourth relation has the same x value of 1;
Hence, this is not a function
B. [tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](-2, -12)[/tex]
[tex](-2, 0)[/tex]
[tex](-2, 4)[/tex]
[tex](-2, 11)[/tex]
Notice that all relations has the same x value of -2;
Hence, this is also not a function
C. [tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](0, 1)[/tex]
[tex](0, 2)[/tex]
[tex](1, 2)[/tex]
[tex](1, 3)[/tex]
Notice that the first and second relation has the same x value of 0 and the third and fourth relation has the same x value of 1;
Hence, this is also not a function
D. [tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]
Start by splitting the relation into x and y columns
[tex](x,y)[/tex]
[tex](8, 1)[/tex]
[tex](4, 1)[/tex]
[tex](0, 1)[/tex]
[tex](-15, 1)[/tex]
Notice that relation has the unique x values of 8, 4, 0 and -15
Hence, this relation is a function
help me plz i want help
Answer:
200in²
Step-by-step explanation:
I separated the shaded face into two squares. Both squares would be 10 by 10.
Area of a square: [tex]a=s^2[/tex]
For each square, they have a side of 10 in.
[tex]a=10^2\\\\a=100[/tex]
The area for one square is 100in². This means that for the whole face, which is made out of 2 squares, the area would be 200in².
The second option should be the correct answer.
Phillip deposited $5,670 into a savings account 19 years ago. The account has an interest rate of 4.1% and the balance is currently $12,356.04. How often does the
interest compound?
Answer:
$12165.97
Step-by-step explanation:
100 + 4.1 = 104.1%
104.1% = 1.041
$5670 x 1.041^19 = $12165.97
Answer:
daily
Step-by-step explanation:
To answer this try plugging in each type of compund: daily, monthly, quarterly, and annually.
5670(1+0.041/365)^(365*19)
= 12356.04
365= daily
so your answer would be that the interest compounds daily.
the first one is supposed to be 1 over 2
1/2(4a+10=2a+
Step-by-step explanation:
1/2(4a+10)=2a
expand
2a+5=2a
-2a -2a
=5
Can you find x for me?
Answer:
x = 120 degrees
Step-by-step explanation:
Since the angle given is 30 and the four lengths given are equal corresponding the angles opposite to their given sides for the top left triangle and bottom right triangle, the corresponding angles are equal and also 30 degrees. Since x is where the top left triangle is, we need an equation to relate x. The sum of all the angles in the top left triangle is 180. So, x + 30 + 30 = 180.
Therefore,
x = 180-30-30 = 120
Answer:
Step-by-step explanation:
There are two equal Angels in the triangle so!
X=180°- (30+30)°
=180-60
=120°
Let X, Y, and Z be points such that [tex]\frac{XZ}{XY} = \frac{ZY}{XY} = \frac{1}{2}.[/tex] If Y = (1, 7), Z = (-1, -7), then what is the sum of the coordinates of $X$?
Answer:
1
Step-by-step explanation:
1
Add.
8/9+2/3+1/6
11/18
11/15
1 13/18
1 2/9
Answer:
1 13/18
Step-by-step explanation:
Get a common denominator of 18
8/9+2/3+1/6
8/9 *2/2 + 2/3 *6/6 + 1/6 *3/3
16/18 + 12/18 + 3/18
31/18
18/18+13/18
1 13/18
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{The Lowest Common Denominator (LCD) of these fraction is: \bf 18}[/tex]
[tex]\mathsf{\dfrac{8}{9}+\dfrac{2}{3}+ \dfrac{1}{6}}\\\\\mathsf{= \dfrac{8\times2}{9\times2}+\dfrac{2\times6}{3\times6}+ \dfrac{1\times3}{6\times3}}\\\\\mathsf{8\times2=\bf 16}\\\mathsf{2\times6=\bf 12}\\\mathsf{1\times3 = \bf 3}\\\\\mathsf{9\times2=\bf 18}\\\mathsf{3\times6= \bf 18}\\\mathsf{6\times3 = \bf 18}\\\\\mathsf{\dfrac{16 + 12 + 3}{18}}\\\\\mathsf{16+12+3}\\\mathsf{= 28 + 3}\\\mathsf{=\bf 31}\\\\\\\mathsf{ = \bf 1 \dfrac{13}{18}}\\\\\\\boxed{\huge\textsf{Answer: \boxed{\mathsf{1 \dfrac{13}{18}}}}}}[/tex] ☑
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Identify the function:
1 5
2 20
3 80
4 320
Quadratic function
Can't determine
Linear function
Exponential function
Answer:
Linear function
Step-by-step explanation:
5 x 4 = 20
20 x 4 = 80
80 x 4 = 320
PLEASE ANSWER!!!!!!
Which of the following is true? a) |−4| < 3 b) |−4| < |3| c) |−3| < −4 | d) −3| < |−4|
Answer:
The answer is D
Step-by-step explanation:
the first one is equal to the equation 4 < 3 because of absolute value, second 4 < 3, third 3 < -4, fourth -3 < 4
I don't know where to place it I'm confused? Would someone help me with this.
Answer:
Step-by-step explanation:
Which equation could you use to solve for x in the proportion StartFraction 4 over 5 EndFraction = StartFraction 9 over x EndFraction?
Answer:
x = 9x5 / 4
x = 45/4
(either one)
Step-by-step explanation:
[tex]\frac{4}{5}[/tex] = [tex]\frac{9}{x}[/tex]
Multiple known diagonals and divide by number opposite to unknown number (x).
Hope that helped!!! k
Answer:
(b) 4 x = 4 5 is the needed expression to solve for the value of x.
Step-by-step explanation:
Here, the given proportion is simplified as:
4/5=9/x
Now, to simplify any proportion of the form the simplest way is cross multiplication.
So, cross multiplying a/b=c/d -> ad=bc
Similarly cross multiplying 4/5=9/x, we get:
4 (x) = (9) (5)
A building 50ft tall is on top of a hill A surveyor is at a point on the hill and observes that the angle of elevation to the top of the
building measures 48° and to the bottom of the building is 20°. How far is the surveyor from the bottom of the building?
Answer:
48-20
Step-by-step explanation:
The distance of the surveyor from the bottom of the building is 125.1 feet.
What is the angle of elevation?You look straight parallel to the ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called the angle of elevation.
Assume the distance of the surveyor from the bottom of the building is represented by x.
First, we have to know that the Tan of 48° is equal to 1.11.
The equation to get the distance will then be;
tan(48) = 50/h
h = 45.05 feet
Now, tan(20) = 45.05 /x
x = 45.05 / 0.36
x = 125.1 feet
The distance of the surveyor from the bottom of the building is 125.1 feet.
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d) Use your knowledge of scale drawings and image sizes to fill in the missing
information in the table. (3 points)
Empire State Building
Original
Image
Actual Height
(in feet)
1,450
1,450
1,450
Reduced
Image
Model Height
(in blocks)
145
1
1
Scale Factor
25
50
Answer:
Your table is filled in below.
Step-by-step explanation:
The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".
Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*
__
* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.
Answer: Image
Step-by-step explanation:
took the test
NEED HELP PLEASE
A football is kicked at 40 yards away from a goal post that is 10 feet high. Its path is modeled by y = -0.03x 2 + 1.6x, where x is the horizontal distance in yards traveled by the football and y is the corresponding height above the ground in feet.
Does the football go over the goal post? How far above or below the goal post is the football? Use two or more complete sentences to explain your answers. (Hint: The unit conversion is built into the given function.)
Answer:
It goes over the goal post by 6 feet
Step-by-step explanation:
The football will be at the same x position as the goal when x = 40. When x = 40, y = -0.03 * 40² + 1.6 * 40 = 16. The height of the goal post can be represented by the equation y = 10. Since 16 > 10, the football goes over the goal post by 16 - 10 = 6 feet.
Find the measure of c.
Answer:
140°
Step-by-step explanation:
The circle has a central angle of 80. This means that the arc it intercepts is also 80°. Therefore, the rest of the circle not intercepted by the arc is 360-80=280°
Remember that inscribed angles have one-half of the arc-length it intercepts. We can see that Angle C intercepts the entire circle except for the arc intercepted by Angle O. Therefore, the arc intercepted by Angle C is 280°. This means that Angle C is the half of 280, or 140°.
May someone help me with this question?(Extra points maybe brainliest for the person who I think helped the most best way.
Answer:
15
Step-by-step explanation:
The distance from (-2,1) to (6,1) is 8 units
The distance from (6,1) to (6,-3) is 4 units
The distance from (6,-3) to (9,-3) is 3 units
Now add 'em up: 8 + 4 + 3 = 15
The length of the biking trail is 15 units long!
Hope that helps <3
Of a group of boys and girls at Central Middle School’s after-school party, 15 girls left early to play in a volleyball game. The ratio of boys to girls then remaining was 2 to 1. Later, 45 boys left for a football game. The ratio of girls to boys was then 5 to 1. How many students attended the party?
Answer:
90
Step-by-step explanation:
Let g and b represent the number of girls and boys attending, respectively.
After 15 girls left, the ratio of boys to girls was ...
b/(g -15) = 2/1
b = 2g -30 . . . . . multiply by (g-15)
__
After 45 boys left, the ratio of girls to boys was ...
(g -15)/(b -45) = 5/1
g -15 = 5b -225 . . . . . . multiply by (b-45)
g = 5b -210
Using the latter to substitute into the former, we have ...
b = 2(5b -210) -30
450 = 9b . . . . . add 450-b
50 = b . . . . . . 50 boys attended
g = 5(50) -210 = 40 . . . . . 40 girls attended
The number of students who attended the party was 50 +40 = 90.
_____
Check
After 15 girls left, the ratio of boys to girls was 50/25 = 2/1.
After 45 boys left, the ratio of girls to boys was 25/5 = 5/1.
Answer:
let b = original number of boys
let g = original number of girls
:
Of a group of boys and girls at Central Middle School's after-school party, 15 girls left early to play in a volleyball game.
The ratio of boys to girls then remaining was 2 to 1.
b%2F%28%28g-15%29%29 = 2%2F1
Cross multiply
b = 2(g-15)
b = 2g - 30
:
Later, 45 boys left for a football game. The ratio of girls to boys was then 5 to 1.
%28%28g-15%29%29%2F%28%28b-45%29%29 = 5%2F1
cross multiply
g - 15 = 5(b-45)
g - 15 = 5b - 225
g = 5b - 225 + 15
g = 5b - 210
Replace b with (2g-30)
g = 5(2g-30) - 210
g = 10g - 150 - 210
g = 10g - 360
360 = 10g - g
360 = 9g
g = 360/9
g = 40 girls originally
find b
b = 2(40) - 30
b = 50 boys originally
" How many students attended the party?"
40 + 50 = 90 students
Simplify the expression 2x(4 + x - 9 + 3x)
A. 8x - 10
B. -2x²
C. -10x²
D. 8x² - 10
E. 8x² - 10x
Answer:
E. 8x² - 10x
Step-by-step explanation:
4+x-9+3x
=x+3x+4-9
=4x+4-9
=4x-5
=2x(4x-5)
=8x² - 10x
PLEASE NEED HELP ASAP!!!!!!! WILL GIVE BRAINLY!!!!!! what are the domain, range, and asymptote of h(x)=(0.5)^x-9
Answer:
[tex]\mathrm{Domain\:of\:}\:0.5^x-9\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\\\\\mathrm{Range\:of\:}0.5^x-9:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>-9\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-9,\:\infty \:\right)\end{bmatrix}\\\\\mathrm{Asymptotes\:of}\:0.5^x-9:\quad \mathrm{Horizontal}:\:y=-9[/tex]
Step-by-step explanation:
Domain:
The function has no undefined points nor domain constraints. Therefore, the domain is
[tex]...-\infty \:<x<\infty \:[/tex]
Definition: The domain of a function is the set of input or argument values for which the function is real and defined.
_________________________________________________
Range:
[tex]\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k\\k=-9[/tex]
[tex]f\left(x\right)>-9[/tex]
Definition: The set of values of the dependent variable for which a function is defined.
_________________________________________________
Asymptotes:
[tex]\mathrm{Vertical\:asymptotes\:of\:}0.5^x-9:\quad \mathrm{None}\\\mathrm{Horizontal\:Asymptotes\:of\:}0.5^x-9:\quad y=-9\\\mathrm{Horizontal}:\:y=-9x^{2}[/tex]
Need Help ASAP!!!!!!!!!!!!!!!!
What is the distance between points A and B on the grid? (the grid is shown in the image). A. 3 units B. 4.5 units C. 5 units D. 5.5 units
=================================================
Explanation:
Since the x coordinates are the same, we can subtract the y coordinates to get
1.5 - (-3.5) = 1.5 + 3.5 = 5
Note how subtracting a negative is the same as adding.
-------
We can subtract in the other order
-3.5 - 1.5 = -5
but we need to make this result positive. A negative distance is not allowed. Absolute value is applied to make the result positive
|-5| = 5
The figure shows a parallogram inside a rectangle outline: What is the area of a parallogram? (1/25) (11/25) (3/25) (4/25)
Answer:(3/25)
Step-by-step explanation: just had this question
determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 3x-4y=-5 8x+6y=-5 show full work please and thank you
Kara has twenty-four thousand, five hundred sixty stickers in her album.
Raul has 20,000 + 4,000 + 500 + 60 stickers in his collection.
Answer:
they are both the same thing the first one with kara is in numbers and with raul it is in words
Step-by-step explanation:
hope i helped and have a great day :)
11. Find the slope of the following coordinate points: (11,4)
and (5.-3)
Answer:
7/6
Step-by-step explanation:
We can find the slope by using the slope formula
m = (y2-y1)/(x2-x1)
= ( -3 -4)/(5 -11)
-7/-6
=7/6
Answer:
7/6
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1)
m = (-3 - 4)/(5 - 11)
m = -7/(-6)
m = 7/6
help could u guys add an explanation on how u got the answer too? thanks!
Answer:
15
Step-by-step explanation:
f(x) = x^2+1
f(2) = 2^2+1 = 4+1 = 5
g(x) = 3x+1
g(3) = 3(3)+1 = 9+1 = 10
f(2)+g(3) = 5+10 =15
Answer:
15
Step-by-step explanation:
I'm just guessing though.
A. Only sequence A
B. Only sequence B
C. Both
D. Neither
40 POINTS OMG
Answer:
B. ONLY Sequence B
Step-by-step explanation:
I hope this helped!
A building casts a 33-m shadow when the sun is at an angle of 27° the vertical. How tall is the building to the
nearest meter? How far is it from the top of the building to the tip of the shadow?
Answer:
1. EF = 65m
2. DF = 73m
Step-by-step explanation:
1. EF = height of the building = h = 33 / tan 27 = 65m
2. DF = sqrt (65² + 33²) = 73m
The building is 64.76 meters long and 73 meters far from the top of the building to the tip of the shadow.
From the triangle DEF, we find the value of EF by using tan function.
tan function is a ratio of opposite side and adjacent side.
tan(27)= 33/FE
0.5095 = 33/FE
Apply cross multiplication:
FE=33/0.5095
FE=64.76
Now DF is the hypotenuse, we find it by using pythagoras theorem.
DF²=DE²+EF²
DF²=33²+64.76²
DF²=1089+4193.85
DF²=5282.85
Take square root on both sides:
DF=72.68
In a triangle the the sum of three angles is 180 degrees.
∠D + 27 +90 =180
∠D + 117 =180
Subtract 117 from both sides:
∠D =63 degrees.
Hence, the building is 64.76 meters long and 73 meters far from the top of the building to the tip of the shadow.
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Type the expressions as radicals
y3/5
Answer:
[tex]\sqrt[5]{y^3}[/tex]
Step-by-step explanation:
[tex]y^{3/5}[/tex] is simply [tex]\sqrt[5]{y^3}[/tex]