Answer:
You could write -5.16 as -5 4/25
Answer:
-5.16 = -129 /25 OR -5 and 4 /25
Step-by-step explanation:
Step 1: Write down the decimal divided by 1, like this: decimal 1. Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.) Step 3: Simplify (or reduce) the fraction.
Help please, asap
50 points
Answer:
The answer is shown in the picture☝️.
Formula :
cos(π/2 - x) = sin x
cos(π - x) = -cos x
cos²x + sin²x = 1
loga(b) + loga(c) = loga(b×c)
Steps to solve:
5 - 5cos(π/2 - x) = 2cos²(π - x)
~Use an identity to simplify cos(π/2 - x)
cos(π/2 - x) → sin(x)
~Use an identity to simplify cos(π - x)
cos(π - x) → -cos(x)
~Put back into an expression
5 - 5sin(x) = 2(-cos(x))²
~Simplify
5 - 5sin(x) = 2cos²(x)
~Subtract 2cos²(x) to both sides
5 - 5sin(x) - 2cos²(x) = 2cos²(x) - 2cos²(x)
~Simplify
5 - 5sin(x) - 2cos²(x) = 0
~Use an identity to simplify
5 - (1 - sin²(x)) * 2 - 5sin(x) = 0
~Simplify
3 + 2sin²(x) - 5sin(x) = 0
~Let sin(x) = u
3 + 2u² - 5u = 0
~Use the quadratic formula to solve for u.
[tex]x=\frac{-(-5)+-\sqrt{(-5)^2-4(2)(3)} }{2(2)}[/tex]
[tex]u = \frac{3}{2}, u=1[/tex]
~Substitute back with sin(x) = u
sin(x) = 3/2 or sin(x) = 1
Steps to solve:
log₂(1 - x) + log₂(-5x - 2) = 2 + log₂3
~Apply log rule
log₂((1 - x(-5x - 2)) = 2^2+(log₂(3)
~Use log definition
(1 - x)(-5x - 2) = 2^2+log₂(3)
~Expand both sides
5x² - 3x - 2 = 12
~Subtract 12 to both sides
5x² - 3x - 2 - 12 = 12 - 12
~Simplify
5x² - 3x - 14 = 0
~Use the quadratic formula to solve
[tex]x = \frac{-(-3)+-\sqrt{(-3)^2-4(5)(-14)} }{2(5)}[/tex]
~Simplify
x = 2 or x = -7/5
Best of Luck!
The local newspaper has letters to the editor from 20 people. If this number represents 2% of all of the newspapers readers, how many readers does the newspaper haves?
Answer:
1, 000
Step-by-step explanation:
2% · x = 20
0.02 · x = 20
20/0.02 = x
x = 1000
Double-Check:
1000 · 0.02 = 20
Answer:
1,000
Step-by-step explanation:
Which is a solution to (x - 2)(x + 10) = 13?
оооо
х = 3
х = 8
х = 10
х = 11
Which expression is equivalent to log18 – log(p + 2)?
log StartFraction p + 2 Over 18 EndFraction
log StartFraction 18 Over p + 2 EndFraction
log StartFraction 20 Over p EndFraction
log left-bracket 18 times (p + 2) right-bracket
Answer:
log(18/(p+2))
log StartFraction 18 Over p + 2 EndFraction
Second option is the correct.
Step-by-step explanation:
There is a property of logarithms that when two logarithms are subtracting each other, we can make a single logarithm with the argument being the division of their arguments:
log(x) - log(y) = log(x/y)
So, with we have log18 – log(p + 2), we can rewrite as:
log18 – log(p + 2) = log(18/(p+2)), that is:
log StartFraction 18 Over p + 2 EndFraction
Second option is the correct.
Answer:
B
Step-by-step explanation:
which value of x makes this equation true? 100-6x =160-10x
Answer:
x=15
Step-by-step explanation:
Answer: x =15.
Step-by-step explanation:
100 - 6x = 160 - 10x
-6x = 160 - 10x - 100
-6x = 60 - 10x
4x = 60
x = 15
Consider the system of equations:
3x − 4y = 12
2x + 6y = 18
Choose all of the equations that could be used when solving this system by substitution.
x = 9 − 3y
y = 18 − 3x
y = 3x + 3
x =
4
3
y + 4
Answer:
X = 3x + 3
And
X = 4/3y + 4
This is from usatestprep
which polynomials are in standard form?
The probability of a chance event is a number between 0 and 1 that expresses the
number of times
that an event cannot
occur
Do you think there’s a difference between living and existing?
Answer:
Yes, because living is something that actually lives - it needs water, food, and things like that. Existing, on the other hand, is different. Anything can exist.
Analyze the diagram below and complete the instructions that follow. Find the surface area of the rectangular prism. Round your answer to the nearest hundredth. A. 157.89 cm^2 B. 306.95 cm^2 C. 346.16 cm^2 D. 347.45 cm^2
Answer: OPTION D.
Step-by-step explanation:
The missing figure is attached.
For this exercise you need to use the formula to find the surface area of a Rectangular prism. This is:
[tex]SA = 2wl + 2lh + 2hw[/tex]
Where "w" is the width, "l" is the length, and "h" is the height.
In this case you can identify in the figure given in the exercise that the length, the width and the height of this rectangular prism are the following:
[tex]l=11.73\ cm\\w=9.08\ cm\\h=3.23\ cm[/tex]
Then, knowing these values you can substitute them into the formula given above and then evaluate, in order to calculate the surface area of this Rectangular prism.
You get that this is:
[tex]SA = 2(9.08\ cm)(11.73\ cm) + 2(11.73\ cm)(3.23\ cm) + 2(3.23\ cm)(9.08\ cm)\\\\SA=347.45\ cm^2[/tex]
Circle O is shown. Line segments A O and B O are radii. A line is drawn from point A to point D to form a chord. Another line is drawn from point B to point D to form a chord. The measure of arc B D is 98 degrees. The measure of arc A D is 212 degrees. The measure of arc AB is °. The measure of angle AOB is °. The measure of angle BDA is °.
*I FOUND THE ANSWERS*
AB= 50°
AOB= 50°
BDA=25°
That is Correct ^^^^
The given measures of AB, AOB, and BDA are correct angles,
AB= 50°
AOB= 50°
BDA=25°
How to find an angle?First, notice that angle AOB is an inscribed angle that intercepts arc AB, which means its measure is half of the measure of arc AB. Therefore, to find the measure of angle AOB, we just need to divide the measure of arc AB by 2:
arc AB = 360° - arc AD - arc BD = 360° - 212° - 98° = 50°
∠AOB = arc AB / 2 = 50° / 2 = 25°
Next, angle BDA is an angle formed by a tangent and a chord that intersects the tangent at the point of tangency. This means that angle BDA is equal in measure to half of the measure of the intercepted arc BD. Therefore, we just need to divide the measure of arc BD by 2 to find the measure of angle BDA:
∠BDA = arc BD / 2 = 98° / 2 = 49°
So far, we have found that AB = 50°, AOB = 25°, and BDA = 49°.
Finally, to check our work, we can use the fact that angles AOB and BDA are vertical angles, which means they are equal in measure. Therefore, we can add their measures and compare the result to the measure of angle AOD:
∠AOD = 180° - arc AD = 180° - 212° = -32° (counterclockwise)
∠AOB + ∠BDA = 25° + 49° = 74°
Since the sum of angles AOB and BDA is less than 180°, we know that angle AOD must be greater than 180°, which means we need to add 360° to its measure to get its actual measure:
∠AOD = -32° + 360° = 328° (clockwise)
Now we can check that angle AOB + angle BDA = angle AOD:
25° + 49° = 74° = 328° (mod 360°)
So our values for AB, AOB, and BDA are correct.
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the probability distribution for a game is shown in the table below.
what is the probability of NOT winning a cash prize if the game is played on time?
A) 7/10
B) 1/5
C) 4/5
D) 3/10
Given:
It is given that
Probability of winning $ 0 = [tex]\frac{3}{10}[/tex]
Probability of winning $ 100 = [tex]\frac{1}{5}[/tex]
Probability of winning $ 200 = [tex]\frac{1}{10}[/tex]
Probability of winning $ 500 = [tex]\frac{2}{5}[/tex]
To find the probability of not winning a cash prize.
Explanation:
Not winning cash prize = winning $ 0
So,
Probability of not winning a cash prize
= Probability of winning $ 0
= [tex]\frac{3}{10}[/tex]
Therefore,
The probability of not winning a cash prize is [tex]\frac{3}{10}[/tex]. Option D.
The correct option is D. 3 / 10.The probability of not winning a cash prize when playing the game is 3/10. This is found by subtracting the total probability of winning (7/10) from 1.
To determine the probability of NOT winning a cash prize, we need to find the combined probability of all outcomes except those with a cash prize ($100, $200, $500). According to the table:
→ The probability of winning $100 is 1/5.
→ The probability of winning $200 is 1/10.
→ The probability of winning $500 is 2/5.
→ First, we calculate the total probability of winning a cash prize:
= 1/5 + 1/10 + 2/5
= 2/10 + 1/10 + 4/10
= 7/10
→ Now, the probability of NOT winning a cash prize is:
= 1 - 7/10
= 3/10
Therefore, the probability of not winning a cash prize when the game is played is Option D) 3/10.
The complete question is:
the probability distribution for a game is shown in the table below.
what is the probability of NOT winning a cash prize if the game is played on time?
Outcome :
$0
$100
$200
$500
Probability:
3/10
1/5
1/10
2/5
A) 7/10
B) 1/5
C) 4/5
D) 3/10
Please help 10 point question!
Answer:
not sure about 1
for number 2 it is 5 over 4 . for y, 5 10 15 20 is a multiple of 5 so the change is 5. for x, 4 8 12 16 is a multiple of 4 so the change is 4.
90 points
The table shows the number of bottles of different kinds of juice sold at a cafeteria on Monday.
If the cafeteria has 80 customers on Tuesday, which prediction for Tuesday is NOT supported by the data in the table?
A) The number of bottles of cranberry juice sold will be 6 more than the number of bottles of pineapple juice sold.
B) The number of bottles of apple juice sold will be 6 times the number of bottles of cranberry juice sold.
C) There will be a total of 50 bottles of orange and cranberry juice sold.
Eliminate
D) The difference between the number of bottles of apple juice sold and the number of bottles of pineapple juice sold will be 14.
Answer:
I would say that the answer is D
Sry if I was wrong
Step-by-step explanation:
Statement (B) the number of bottles of apple juice sold will be 6 times the number of bottles of cranberry juice sold is not supported.
What is an arithmetic operation?Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them. Addition, subtraction, multiplication, and division are the four basic math operations.
There is a total of 80 customers on Tuesday.
Total number of bottles sold on Monday = 11+7+18+4 = 40
We are assuming total customers on Monday = 40
As we can see them on Tuesday the number of customers is doubled of customers on Monday.
Kind of juice Number of bottles sold on Tuesday:
Apple 22
Cranberry 14
Orange 36
Pineapple 8
Total 80 customers on Tuesday
The number of bottles of apple juice sold will be 6 times the number of bottles of cranberry juice sold is not supported.
Thus, statement (B) the number of bottles of apple juice sold will be 6 times the number of bottles of cranberry juice sold is not supported.
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In Tim's garden, the flowers are
only red, white, yellow or blue.
The chart shows the number of
red, white and yellow flowers.
The total number of flowers is 30
a) How many blue flowers are there?
umber of
flowers
b) Write down the mode.
(1)
red
yellow
Colour
T
ele2
Answer: a 6
Step-by-step explanation:
Find the Area of the figure below, composed of a rectangle and one semicircle,
with another semicircle removed. Round to the nearest tenths place.
The Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed is 150 cm².
Length of the rectangle = 15cm.
Width of the rectangle = 10cm.
Diameter of semicircle = 10cm.
Therefore the radius of semicircle = diameter of semicircle/2
Therefore the radius of semicircle = 10/2 = 5cm.
Area of the given figure = Area of rectangle + Area of semicircle - Area of semicircle.
So, area of the given figure = Area of rectangle.
Area of rectangle = length × width
Area of rectangle = 15 × 10 = 150 cm²
Therefore the area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed is 150cm².
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Rounded to the nearest tenth, the area of the figure is 150.0 square units.
To find the area of the figure composed of a rectangle and two semicircles, with one semicircle removed, you can follow these steps:
Calculate the area of the rectangle.
Calculate the area of the larger semicircle.
Calculate the area of the smaller semicircle (the one that's removed).
Subtract the area of the smaller semicircle from the sum of the area of the rectangle and the larger semicircle.
Given that the dimensions of the rectangle are 15 by 10, the radius of the semicircle is half the width of the rectangle, so it's 10/2 = 5.
Area of Rectangle:
Area_rect = length x width = 15 x 10 = 150 square units
Area of Larger Semicircle:
The radius of the larger semicircle is 5 units (half of the width of the rectangle).
Area_larger_semicircle = (1/2) x π x r^2
Area_larger_semicircle = (1/2) x π x 5^2 = (1/2) x π x 25 = 12.5π square units
Area of Smaller Semicircle (the one that's removed):
This is also a semicircle with a radius of 5 units.
Area_smaller_semicircle = (1/2) x π x 5^2 = (1/2) x π x 25 = 12.5π square units
Subtract the area of the smaller semicircle from the sum of the area of the rectangle and the larger semicircle:
Total Area = Area_rect + Area_larger_semicircle - Area_smaller_semicircle
Total Area = 150 + 12.5π - 12.5π
The "12.5π" terms cancel out when you subtract them, so you're left with:
Total Area = 150 square units
Rounded to the nearest tenth, the area of the figure is 150.0 square units.
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Which equations have no solution? Select all that apply.
B 0.5y = 0
cx - 7=x-7
D 90-1 + x) + 1 = 12x + 1
E
8+4.f= 4(3 + f)
Answer:
Which equations have no solution ? Select all that apply .
A ) x+5 = x - 5 (no solution)
B)0.5y=0 (solution, y=0)
C) x-7= x -7 (all real numbers)
D) 9 ( -1 + x ) +1 = 12x + 1 (solution, x=-3)
E ) 8+4. f = 4 (3+ f ) (no solution)
Step-by-step explanation:
- Hope this helps! If you would like an explanation please let me know as I would be glad to help.
Addictive inverse of 3/-5 and -6/-5
Answer:
[tex] \frac{ - 3}{ - 5} [/tex]
Step-by-step explanation:
[tex] \frac{3 + - 6 }{ - 5} = \frac{3 - 6}{ - 5} = \frac{ - 3}{ - 5 } [/tex]
For which function is the domain
-6 _< x _< -1 not appropriate?
A. y=x^2
B. y=2x
C. y=2^x
D. y=square root of x
Answer:
D. [tex]y=\sqrt{x}[/tex]
Step-by-step explanation:
A square root can't be evaluated if the number we want to find the square of is nagative.
Find the L.C.M of 4, 8 and 12 by listing the first six multiples of each number.
Answer: 24
4: 4,8,12,16,20,24
8: 8,16,24,32,40,48
12: 12,24,36,48,60,72
Frank monitors the cost of gasoline for his budget. The table below shows Frank's gasoline purchases for the month of June. What was the average cost per gallon for gas during Week 4?
Answer:
I would love to answer your question, but where is the table.
Solve 2y+1−x=7x for y
2y + 1 - x = 7x
2y + 1 = 8x
2y = 8x - 1
y = 4x - 1/2
A ladder needs to reach a second-story window that is 10 feet above the ground and make an angle with
the ground of 68°. How far out from the building does the base of the ladder need to be positioned?
Round your answer to the nearest tenth.
The base of the ladder needs to be
feet away from the wall.
The base of the ladder needs to be positioned approximately 27.3 feet away from the wall.
Let's consider the ladder as the hypotenuse of a right triangle, where one leg represents the distance from the building (let's call it 'x'), and the other leg is the height of the window above the ground (10 feet). The angle between the ground and the ladder is given as 68°.
We can use the tangent function, which is defined as the ratio of the opposite side (height of the window) to the adjacent side (distance from the building):
tan(θ) = Opposite / Adjacent
In this case, tan(68°) = 10 feet / x
To find 'x,' we can rearrange the equation:
x = 10 feet / tan(68°)
Now, we can plug the values into a calculator to get the answer:
x ≈ 27.3 feet
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Divide 20x^2y^5 by 12xy^7
Answer:
5y^7x^2^y^5+1 divided by 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
what are ALL the solutions for 4-9x ≤40
Answer:
all work is shown and pictured
i need help asap pls !!!
Answer:
100°
Step-by-step explanation:
AB = AC (given)
Therefore, ∆ ABC is an isosceles triangle.
m<B=m< C= 40°
sum of the interior angles of a triangle= 180°
m<A+40°+40°=180°
m<A = 180°-80° = 100°
Answer:
< A is 100
Step-by-step explanation:
<B is 40 <C is also 40
so 40+40= 80 then you have to do 180-80. Which equals 100.
If x+y=10 and x - y = 11, what is the value of x - 72
Answer:
[tex]x+y=10\\\\x-y=11\\-y=11-x\\y=-11+x\\\\x+(-11+x)=10\\x-11+x=10\\2x=21\\x=10.5[/tex]
[tex]x-72\\10.5-72\\-61.5[/tex]
The answer is -61.5
The graphic shows the average number of points scored per game for ten players in the NBA.
What is the range value of the data set?
A) 3.45
B) 3.5
C) 6.9
D) 7
Answer:
C) 6.9
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the value of n in the equation below?
StartFraction 12 Superscript n Over 12 Superscript 5 EndFraction = 12 Superscript 4
Negative 20
Negative 9
9
20
Answer:
It's 9
Step-by-step explanation:
I just took the test and got it right.
Answer:
its positive 9
Step-by-step explanation:
Which of the following have a frequency factor of b=1? A sine function whose period is 2pi radians. A sine function whose x-coefficient is 2pi. A cosine function with no phase shift whose x-coefficient is 1. A sine function whose graph shows 2 cycles from -4pi radians to 0. A sine function whose graph shows 2 cycles from 0 to 2pi radians. A cosine function whose graph shows 4 cycles from 0 to 4pi radians. A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.
A) A sine function whose period is 2pi radians.
C) A cosine function with no phase shift whose x-coefficient is 1.
D) A sine function whose graph shows 2 cycles from -4pi radians to 0.
G) A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.
The solution is,
A) A sine function whose period is 2pi radians.
C) A cosine function with no phase shift whose x-coefficient is 1.
D) A sine function whose graph shows 2 cycles from -4pi radians to 0.
G) A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.
which have a frequency factor of b=1.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
we have to find the functions which have a frequency factor of b=1.
so, we get,
from the given options, that,
A) A sine function whose period is 2pi radians.
C) A cosine function with no phase shift whose x-coefficient is 1.
D) A sine function whose graph shows 2 cycles from -4pi radians to 0.
G) A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.
are the functions which have a frequency factor of b=1.
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