9/10 is the possible outcome that has a number less than 3 or an A.
What is probability?
The proportion of possible outcomes to outcomes in an exhaustive set of equally likely alternatives that result in a certain event.
Here, we have
A spinner is divided into five equal sections labeled 1, 2, 3, 4, and 5. Another spinner is divided into two equal sections labeled A and B.
We have to find how many of the possible outcomes have a number less than 3 or an A.
Denote A the first event and B the second event:
P(A∪B) = P(A) + P(B)
A = Get a number less than 3
P(A) = 2/5
B = Get section A
P(B) = 1/2
Then,
P(A∪B) = 2/5 + 1/2
P(A∪B) = 9/10
Hence, 9/10 is the possible outcome that has a number less than 3 or an A.
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What is the number? 10 tens and 4 ones
104
Explanation
Step 1
convert the words in math terms
10 tens and 4 ones
then,it is iqual to
10 times 10 plus 4 times one
\(\begin{gathered} 10\cdot10+4\cdot1=100+4=104 \\ \end{gathered}\)so, the answer is 104
I hope this helps you
find the area of the triangle given a = 14, c=21, and B=87°. Round your answer to the nearest tenth.
Answer: 143.8 units²
Step-by-step explanation:
Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:
\(Area=\dfrac{1}{2}ac \sin B\)
Given: a = 14, c = 21, B = 87°
\(Area=\dfrac{1}{2}(14)(21) \sin 87^o\\\\.\qquad =147\sin 87^o\\\\.\qquad =143.8\)
Answer:
\(\huge \boxed{\mathrm{146.8 \ units^2 }}\)
Step-by-step explanation:
We can solve for the area of the triangle when two sides are given and the angle in between the two sides.
\(\displaystyle A=\mathrm{\frac{1}{2}ac \cdot sinB }\)
\(\displaystyle A=\mathrm{\frac{1}{2} \cdot 14 \cdot 21 \cdot sin87 }\)
\(\displaystyle A=\mathrm{147 \cdot sin87 }\)
\(\displaystyle A=\mathrm{146.79854160...}\)
The area of the triangle is 146.8 units².
Find y.
I will give Brainliest to correct answer !
Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)
What is a square root function?In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent functions.In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;
f(x) = √x
g(x) = -√9(x - 1) + 2
\(g(x) = -\sqrt{9(x - 1)} + 2\)
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Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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Please help with this one as well,,,
The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.
How to draw a whisker plot?A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.
To create a whisker plot, follow these steps:
Collect the data you want to represent and arrange it in order from smallest to largest.Find the median, which is the middle value of the data set. If the data set has an even number of values, the median is the average of the two middle values.Find the lower quartile (Q1), which is the median of the lower half of the data set.Find the upper quartile (Q3), which is the median of the upper half of the data set.Calculate the interquartile range (IQR), which is the difference between Q3 and Q1.Learn more about whisker plots in https://brainly.com/question/2742784
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write an expression for the quotient of 9 and c
Answer:
\(\frac{9}{c}\)
Step-by-step explanation:
You have 72 grams of a radioactive kind of actinium. If its half-life is 6 hours, how much will
be left after 12 hours
Answer:
There will be 18 grams left after 12 hours.
Step-by-step explanation:
Half-life is the amount of time it take for a cell to turn from one condition to another.
To find the amount of grams for the first 6 hours.
72 ÷ 2= 36
Now, since 6 x 2 = 12, we need to divide 36 by 2 to find the next half-life.
36 ÷ 2 = 18
Therefore, there will be 18 grams left after 12 hours.
Hope this helps! :D
189.42 ÷ 6do not add ur anawer.
We have the following division:
189.42 ÷ 6
Let's recall how to divide decimals:
1. Multiply the divisor or the dividend by as many 10's as necessary until we get a whole number.
As we can see we have two decimals in the dividend (189.42), then we need to multiply the dividend and the divisor by 100, as follows:
(189.42 * 100 ) ÷ 6 * 100
2. Moving two places to the right the decimal point:
18,942 ÷ 600
31.57
3. The conclusion is that 189.42 ÷ 6 = 18,942 ÷ 600
And the answer to these two equations is the same = 31.57
7. Use the discriminant to determine the number of real solutions of the equation. 5x^2- 3x+1=0
a. 1
b. 2
c. None
d. Not enough information.
Answer:
c. None
Step-by-step explanation:
5x²- 3x+1=0 ax² + b + c = 0
discriminant: b² - 4ac = (-3)² - 4*5 * 1 = 9 - 20 = - 11 (negative)
discriminant < 0 2 imaginary solutions
Answer:
c. None
Step-by-step explanation:
b^2-4ac= (-3)^2 - 4×5×1= 9-20=-11
As the discriminant is negative, there will be no real number.
The equation for the axis of symmetry is
y=k
O True
O False
REAL ANSWERS ONLY PLS HELP
Answer:
false
Step-by-step explanation:
pretty sure the equation is x=-b2a
I was confused on how to go about this.
Find the area of the triangle.
A = 14 m^2
Step-by-step explanation:
The equation for the area of a triangle is...
\(A=\frac{1}{2}bh\)
For this we need the base and the height. Looking at the picture, we can see that the height is 4. The base is split into 2 parts, so we just need to add the 3 and the 4 together, that will make our base 7. Now we can plug these into the equation, but I'm also just going to make the 1/2 a 0.5.
\(A=0.5*4*7\)
\(A=\)
14 m^2
Maya's penny bank is 3/4 full. After she removes 280 pennies, it is 1/2 full. How many pennies can Maya's bank hold?
Answer:
1120
Step-by-step explanation:
Rewrite the expression in a simpler form. Be sure to show the steps in your work. (3a^5)(14a^8)
Answer:
\(14a^{13}\)
Step-by-step explanation:
Step 1 - Remove the parenthesis:
\(3a^5 * 14a^8\)
Step 2 - Multiply the whole numbers
\(3 * 14 = 42\)
\(42a^5a^8\)
Step 3 - Add the exponents together:
\(x^a * x^b = x^{a + b}\)
\(a^5 * a^8 = a^{5 + 8}\)
= \(a^{13}\)
Step 4 - Put the two components back together:
\(14 + a^{13} = 14a^{13}\)
Hope this helps!
If it will cost $4.00 for 3 chocolate bars, how much will it cost for 12 chocolate bars?
Answer:
I believe the answer is $16
Step-by-step explanation:
I divded the $4 dollars by 3 chocolate bars and got 1.3 repeating. Then multiplied that by 12 and got 16 :)
Answer: 16
Step-by-step explanation:
3x4=12
4x4=16
A cylinder has a height of 12 inches. A similar cylinder has a height of 15 inches. What is the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder?
The ratio is 15+\(r_2\) : \(12+r_1\).
What is surface area?
A three-dimensional object's surface area is the space it takes up when viewed from the outside.
Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit
=> A = \(2\pi r(h+r)\) square unit.
Now Height = 12 in , radius = r1 then,
=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1
Now Height = 15 in , radius = r2 then,
=>\(A_2=2\pi r_2(15+r_2)\)-------> 2
Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,
=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)
=>\(15+r_2:12+r_1\)
Hence the ratio is \(15+r_2:12+r_1\).
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Answer:
25:16
Step-by-step explanation:
I took the
Calc II Question
The base of s is an elliptical region with boundary curve 9x^2 + 4y^2 = 36
Cross sections perpendicular to the x axis are isoscelees right triangle with hypotension in the base.
Correct answer is 24 but I don't know how they go that
Answer:
See below for explanation
Step-by-step explanation:
The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:
\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)
As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).
Hence, the area function for our cross-sections are:
\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)
Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:
\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)
Therefore, this explanation confirms that the correct volume is 24!
4(g- 1) = 24 what does g stand for
Answer:
g=7
Step-by-step explanation:
4(g- 1) = 24 Distribute 4(g-1)
4g-4=24 Add 4
4g=28 Divide by 4
g=7
Which of the following is equivalent to the product below?
Square root 3 square root 21
I NEED HELP ILL GIVE BRAINLIEST
The equivalent of the products given = 3√7
Simplifying square rootsA perfect square root is said to be a number that gives rise to an integer when it's square root is carried out. Examples are √16, √9 which is 4 and 3 respectively.
√3 × √21
But √a ×√b = √ a×b
Find the prime factors which when multiplied would give 21 = 3 and 7.
Therefore,
\( \sqrt{3 \times 3 \times 7} \)
\( \sqrt{9 \times 7} \)
\( 3 \sqrt{7} \)
Therefore, the equivalent of the products of √3 × √21 =
3√7
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I need the answer in the next 6 hours
Answer:
180m
Step-by-step explanation:
The figure shown in the picture is a right triangle.
We have two of it's sides and need to find the hypotenuse (the side in front of the right angle).
To find that we must use the Pythagorean theorem:
\(c^{2} = {a}^{2} + {b}^{2} \)
Side a is 400m and side b is 300m.
Therefore:
\(c^{2} = {300}^{2} + {400}^{2} \)
\(c = \sqrt{300 \times 300 + 400 \times 400} = 500\)
Now that we know that side c is 500m we must just substract the distance between Marla and the dock with the lenght of the side to find the answer
500 - 320 = 180m
Answer:
She is 180m from the information Center
She walked 240m from the parking lot to the lake.
Step-by-step explanation:
I searched your question and found the key answers. below is my backup explanation, hope this helps! brainliest, please!
show all work to multiply (2+√−25)(4−√−100)
Karen has a red ribbon that is 18 feet long and a blue ribbon that is 12 feet long.
She wants to cut both ribbons into pieces that are all the same length, and she wants to have no ribbon left over when she is done.
What is the greatest length, in feet, of each piece of ribbon that she can cut?
Answer: 6
Step-by-step explanation: 6 goes into 12 twice with none left over, and 6 goes into 18 3 times with none left over.
A fast-food worker works Monday through Friday, 8 hours per day. Daily, the worker receives a -hour break in the morning, a -hour break for lunch, and a -hour break in the afternoon. How many hours of break time does the worker receive per day?
The worker recieves 3 hours of break time per day.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a a fast-food worker works Monday through Friday, 8 hours per day. Daily, the worker receives a hour break in the morning, a hour break for lunch, and a hour break in the afternoon.
The worker recieves three breaks, meaning it recieves 3 hours of break time per day.
Therefore, the worker recieves 3 hours of break time per day.
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5. Five-eighth of a number is 15. What is the number?
Your answer
Answer:
I think it is 24
Step-by-step explanation:
15÷5=3
3×8=24
Answer:
24
Step-by-step explanation:
divide 15 by 5 to get 3 which is equal to 1/8 of the number. then just multiply 3 by 8 to get 24.
Tammy made a shirt using
1/4 yards of green fabric and
1/3 yards of red fabric. How many more yards of red fabric did Tammy use?
Write your answer as a fraction in simplest form.
The number of more yards of red fabric Tammy used will be 1/12 yards.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Tammy made a shirt using 1/4 yards of green fabric and 1/3 yards of red fabric.
Then the number of more yards of red fabric Tammy used will be
⇒ 1/3 - 1/4
⇒ (4 - 3) / 12
⇒ 1 / 12
The number of more yards of red fabric Tammy used will be 1/12 yards.
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Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−15, 3), (−15, −6), and (25, −6)?
(−6, 25)
(−25, −3)
(6, −25)
(25, 3)
The missing fourth vertex needed to create a rectangle is (25, 3) option D.
Define the term vertices?Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.
Here, the width of one side of the rectangle;
⇒ +3 - (-6) = 9 unit (left side y-coordinates)
Similarly the length of the rectangle;
⇒ 25 - (-15) = 40 unit (up-side x-coordinates)
Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)
So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:
⇒ (25, -6+9) = (25, 3)
⇒ (-15+40, 3) = (25, 3)
Therefore, the missing fourth vertex is (25, 3)
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can someone please help try the best that you can
How to find derivative of x^5(1- (5/x+8))
Answer:
\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
Step-by-step explanation:
\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
ANSWER QUICK PLS WILL MARK BRAINLIEST
You should spend no more than 30% of your take-home pay on rent. Your take-home pay is $1,625 per month. How much
can you afford to pay for rent per month? (Remember to have a $ and 2 decimal places in your answer)
Which algebraic expression represents the phrase "six less than a number"?
6x - x
OX-6
0.6-X
X- 6x
Answer:
x - 6
Step-by-step explanation:
The question is stating you are taking 6 away from a number. You can automatically rule out the 1st option and the 4th option. Between 2 and 3, the best choice would be the 2nd choice because it is clearly stating that it is taking away 6 from some unknown number. Hence, you get x - 6 as your answer.
The answer is B: x - 6
Directions - Find the sector areas of both the grey and white areas:
*Use 3.14 in place of
285⁰
8 in
in²
in
(round to two decimal places)
(round to two decimal places)
E
The sector areas of the grey and white areas are 159.09 in² and 41.87 in²
Finding the sector areas of the grey and white areas:From the question, we have the following parameters that can be used in our computation:
Radius, r = 8 inchesCentral angle,= 45 degreesThe area of shaded sector is calculated as
Area = Central angle/360 * π * Radius^2
Substitute the known values in the above equation, so, we have the following representation
Gray = 285/360 * 3.14 * 8^2 = 159.09White = (360 -285)/360 * 3.14 * 8^2 = 41.87Hence, the area is 159.09
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