Answer:
B. 0.33
Step-by-step explanation:
The probability will be given by the amount of space in the target area, blue, compared to the total amount of space, the red square.
The size of the blue square is 64 and the size of the red square is 196; this gives us a probability of
64/196 = 16/49 = 0.3265 ≈ 0.33.
The required probability that a dart will land in the blue region is 0.33. Option B is correct.
Given that,
A target is made of a blue square inside of a red square. The blue square has an area of 64 square units, and the red square has an area of 196 square units.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total sample space = 196
Total favorable space = 64
The probability that a dart will land in the blue region is given as.
probability = 64 / 196 ≈ 0.33
Thus, the required probability that a dart will land in the blue region is 0.33. Option B is correct.
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A rectangle has a length of \sqrt[3]{81} and a width of 3^{\frac{2}{3}} inches. Find the area of the rectangle.
Answer:
The area of the rectangle is 9.
Step-by-step explanation:
The first thing to take into account is that the area of a rectangle is obtained by multiplying its length and width.
[tex]area=length\times width[/tex]
The problem says that the length is [tex]\sqrt[3]{81}[/tex] and the width is [tex]3^{\frac{2}{3}}[/tex]. So, to find the area we must replace the values of length and width into the previous expression.
[tex]area=length\times width[/tex]
[tex]area=(\sqrt[3]{81})\times (3^{\frac{2}{3}})[/tex]
The previous seems to be difficult but with a little of manipulation we can get a result without a calculator.
First step: the term [tex]\sqrt[3]{81}[/tex] could be written as exponential expression.
[tex]area=(81^{\frac{1}{3}})\times (3^{\frac{2}{3}})[/tex]
Second step: the term [tex]3^{\frac{2}{3}}[/tex] could be written in other way.
[tex]area=(81^{\frac{1}{3}})\times ((3^2)^{\frac{1}{3}})[/tex]
Third step: in the same way, the term [tex]81^{\frac{1}{3}}[/tex] could be written in other way taking into account that [tex]81=9^2[/tex].
[tex]area=((9^2)^{\frac{1}{3}})\times ((3^2)^{\frac{1}{3}})[/tex]
Forth step: the two terms must have the same base to apply other exponential rules; for example, the base could be 9.
[tex]area=(9^{\frac{2}{3}})\times (9^{\frac{1}{3}})[/tex]
Fifth step: as both terms have the same base, we must add the exponents and simplify the expression.
[tex]area=9^{\frac{2}{3}}\times 9^{\frac{1}{3}}[/tex]
[tex]area=9^{\frac{2}{3}+\frac{1}{3}}[/tex]
[tex]area=9^{\frac{3}{3}}[/tex]
[tex]area=9^1[/tex]
[tex]area=9[/tex]
Thus, the area of the rectangle is 9.
Can you help me I can’t figure it out!
Answer:
C, 17.3
Step-by-step explanation:
Mean is the average of the numbers. To get the mean, add all the numbers up, and divide them by how many numbers there were. Let's do that.
(16.8 + 12.3 + 19 + 17.5 + 18.2 + 17.5)/6
Simplify
101.3/6
Simplify.
~16.88
The closest estimate to that is C, 17.3
X varies directly and inversely with z. X=20 when y=8 and z=4 . Find x when y=4 and z =8
Answer:
Value of x = 5 .
Step-by-step explanation:
Combined variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others.
Given: x varies directly with y and inversely with z.
i.e [tex]x \propto y[/tex] and [tex]x \propto \frac{1}{z}[/tex]
then we have the combined variation as;
[tex]x = k\frac{y}{z}[/tex] ......[1] where k is the constant variation.
Substitute the value of x =20 when y =8 and z = 4 to solve for k;
[tex]20 = k\frac{8}{4}[/tex]
Simplify:
[tex]20 = 2k[/tex]
Divide both sides by 2 we get;
[tex]k = 10[/tex]
Now, substitute k =10 , y =4 and z = 8 to find x;
Using [1] we have;
[tex]x = 10 \times \frac{4}{8} = 10 \times \frac{1}{2} = 5[/tex]
Therefore, the value of x is, 5
The problem involves the concept of direct and inverse variation. From the given conditions, a constant of variation 'k' is calculated as 1.6. Using this 'k', x is found to be 20 when y is 4 and z is 8.
Explanation:This question involves the concept of direct and inverse variation. When it is stated that 'x varies directly and inversely with z', it implies a relationship which can be written in the form of y = kx/z, where k is a constant of variation.
To find the constant, we plug in the provided values for x, y, and z into our equation. Hence, using the known values (x=20, y=8, and z=4), our equation becomes 8 = 20k/4. Simplifying this gives us k = 1.6.
Now, to find the value of x when y=4 and z=8, we substitute these into the equation giving us 4 = 1.6x/8. Solving for x, we find that x = 20.
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you are making scarves for presents each scarf needs 3/4 yards of fabric how many yards of fabric do you need for 6 scarves
Answer: 8/1
Step-by-step explanation: 6/1 x 3/4= 24/3( divide both numbers by 3) and you get 8/1 yards of fabric.
Answer:
18/4
Step-by-step explanation:
3/4 per scarf
6 scarfs
6*(3/4)=(18/4)=4.5 yards
Please help me quick! I need this before tomorrow!
Round each number to the nearest tenth.
What is the best estimate for the answer to 26.73 + 89.42?
Answer:
116.1
Step-by-step explanation:
If you round each decimal to the nearest tenth it would be 26.7 + 89.4 because you round up if it is 6 and above and round down for 5 and below. The rest is just simple addition.
there are 24 students at the class picnic if 3/4 of the class is at the picnic how many students are in the class
Answer:
32
Step-by-step explanation:
To find the number of students in the class, use the equation 3/4x = 24 and solve for x.
Explanation:To find the number of students in the class, we can set up the equation 3/4x = 24, where x represents the total number of students in the class.
To solve for x, we need to isolate it. We can do this by multiplying both sides of the equation by the reciprocal of 3/4, which is 4/3.
3/4x * 4/3 = 24 * 4/3
x = 32
Therefore, there are 32 students in the class.
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Based on the graph below, what are the solutions to the equation f(x) = g(x)?
A. x = −2.4, 1.4, 3.9
B. x = −2.4, 0.25, 1.4
C. x = −2, 2, 3
D. x = −2, 1, 3
Look at the picture.
f(x) = g(x) - x for which the graphs intersect.
Answer: A. x = -2.4, x = 1.4, x = 3.9Answer by YourHope:
HI! :)
Based on the graph below, what are the solutions to the equation f(x) = g(x)?
A. x = -2.4, x = 1.4, x = 3.9!
:)
Paws at play made a total of $1234 grooming 22 dogs. Paws at Play charges $43 to groom each small dog and $75 for each large dog.
a. Write a system of equations that can be used to determine the number of small and large dogs that were groomed.
b. How many large dogs did Paws at Play groom?
Answer:
Answer (a):
s + l = 22 ... (i)
43s + 75l = 1234 ... (ii)
Answer (b)
9 large dogs.
Step-by-step explanation:
Paws at Play made a total of $1234 grooming 22 dogs.
Paws at Play charges $43 to groom each small dog and;
$75 for each large dog.
Let the number of small dogs be 's'
And the number of large dogs be 'l'
A system of equations will be:
s + l = 22 ... (i)
43s + 75l = 1234 ... (ii)
Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;
43s + 43l = 946 ... (i)
43s + 75l = 1234 ... (ii)
Subtracting (i) from (ii) we get;
32l = 288 , l = [tex]\frac{288}{32}[/tex] = 9
So there are 9 large dogs.
GEOMETRY HELP PLEASE!!!!!!! Josh is building an enclosure with recycled cardboard for his collection of model cars his design is as shown below:
What is the length of side BC in inches?
A) 14
B) 43
C) 49
D) 63
if the pet store had 10 more birds the number of dogs would be double the number of birds what number should be on the scale explain how you solved
Answer:
one that fits
Step-by-step explanation:
#Bird+10 so #dog=2(#birds+10)
Answer:
We are gonna called birds [tex]x[/tex] and dogs [tex]y[/tex]. So, if pet store had 10 more birds the number of dogs would be double, this means that:
[tex]y=2(x+10)[/tex]
In the expression we have 10 more birds [tex]x+10[/tex], and the number of dogs is the double of these birds, which give us the expression.
So, the range of values would be:
If there are 10 birds, there would be 20 dogs.
If there are 11 birds, there would be 22 dogs.
If there are 12 birds, there would be 24 dogs, and so on...
13 birds, 26 dogs.
14 birds, 28 dogs.
All these results are given by the expression we found.
Seven days ago, I put 60 jelly beans in a bowl. Now there are 4 jelly beans left.
If I ate the same number of jelly beans each day, how many jelly beans did I eat each day?
Get's Brainliest if best answer
Please help ASAP!
Answer:
You ate 8 jellybeans a day
Step-by-step explanation:
60-4=56
56/7=8
The student ate 8 jelly beans per day, calculated by subtracting the number of jelly beans left from the original amount and dividing by the number of days.
To determine how many jelly beans were eaten each day, we can subtract the number of jelly beans left in the bowl from the original amount and then divide by the number of days that have passed.
If there were originally 60 jelly beans and now there are only 4 left, then 60 - 4 jelly beans have been eaten.
Over the course of 7 days, this amount should be divided by 7 to find the daily consumption.
= 60 jelly beans - 4 jelly beans = 56 jelly beans have been eaten in total.
To find the number eaten per day: 56 jelly beans / 7 days
= 8 jelly beans per day.
Therefore, 8 jelly beans were eaten each day.
A recipe calls for 12 cups of blueberries to make 7 jars of blueberry jam.
What is true about the number of cups of blueberries in each jar?
Each jar has 7/12 cup of blueberries.
Each jar has 1/12 of 7 cups of blueberries.
Each jar has 12/7 cups of blueberries.
Each jar has 1 5/12 cups of blueberries.
Answer:
Each jar has 12/7 cups of blueberries.
Step-by-step explanation:
To find out how many cups of blueberries per jar, we take the number of cups of blue berries and divide by the number of jars
12 cups/7 jars
12/7 cups of blueberries per jar
Each jar has 12/7 cups of blueberries.
Answer:
Step-by-step explanation:
Slope 8/5;y-intercept(0,-9)
Answer:
y = 8/5x - 9
Step-by-step explanation:
That would be your equation.
Final answer:
The question pertains to finding the equation of a straight line with a given slope of 8/5 and a y-intercept of (0,-9), which can be represented in slope-intercept form as y = (8/5)x - 9.
Explanation:
The question involves constructing the equation of a line with a given slope and y-intercept.
To find the equation of a line, we use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Given the slope of 8/5 and a y-intercept of (0,-9), the equation of the line would be y = (8/5)x - 9.
The slope tells us that for every increase of 5 units in the horizontal direction (-axis), the line rises 8 units in the vertical direction (-axis). Meanwhile, the y-intercept indicates that the line crosses the y-axis at -9.
heelp will give brianliest
Answer:
256
Step-by-step explanation:
4(7)^2 + 30(2)
196 + 60 = 256
pls help with number 2 will give brainliest
Answer:41% i think i am pretty sure
Step-by-step explanation:
don't have one
Equation in standard form
8x=-5y+3
Answer:
8x + 5y = 3
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given 8x = - 5y + 3 ( add 5y to both sides )
8x + 5y = 3 ← in standard form
PLEASE HELP 29 POINTS!
What is the difference between direct variation and constant variation?
As Saturn revolves around the sun, it travels at a speed of approximately 6
miles per second. Convert this speed to kilometers per second. At this speed, how many kilometers will Saturn travel in 2 seconds? In your computations, assume that 1
mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
Speed = 9.6 km/s
Distance traveled in 2 seconds = 19.2 km
Step-by-step explanation:
Given that revolving speed of the Saturn around the sun = 6 miles per second
We need to convert this speed into kilometers per second.
Given that 1 mile = 1.6 kilometers so plug that into above speed. We get:
Revolving speed of the Saturn around the sun = (6)(1.6) kilometers per second.
Revolving speed of the Saturn around the sun = 9.6 kilometers per second.
Now to find distance travelled in 2 seconds, we just need too multiply the speed by time.
Distance = (9.6)(2)= 19.2 Kilometers.
Hence final answer is:
Speed = 9.6 km/s
Distance traveled in 2 seconds = 19.2 km
Answer:
Speed: 9.6 km/s
Distance traveled in 2 seconds: 19.2 km
Step-by-step explanation:
Speed: S=6 miles per second=6 miles/s
S=(6 miles/s)(1.6 km/1 mile)→S=(6)(1.6) km/s→S=9.6 km/s
S=9.6 km per second, that means in 1 second the distance traveled is 9.6 km, then in 2 seconds the distance traveled is 2(9.6 km)=19.2 km or
S=d/t
Distance: d
Time: t
Replacing the known values:
9.6 km/s=d/(2 s)
Solving for d: Multiplying both sides of the equation by 2 s:
(2 s)(9.6 km/s)=(2 s)d/(2 s)
19.2 km=d
d=19.2 km
what is the definition of exponential decay
Answer:
When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. In exponential decay, the total value decreases but the proportion that leaves remains constant over time.
Step-by-step explanation:
Answer:
[tex]y =Ae^{-kx}[/tex]
would be the exponential decay function for initial population A and decaly rate is -k.
Step-by-step explanation:
Exponential decay occurs when rate of change of population or any other quantity is proportional to the present population or quantity present
i.e. if y is the population
then dy/dx = -ky where k is a positive constant of proportionality
[tex]\frac{dy}{y} =-kdx\\ln y = -kx+C\\y = e^{-kx+C} =Ae^{-kx}[/tex]
The difference of 11 and 4 times a number equals 3
Hello there!
An equation to model this situation is 11 - 4n = 3.
The unknown number has a value of 2.
Okay, so let's start by breaking down the question - we'll use n to model the unknown number.
The difference of 11 and 4 times a number equals 3
This means we are using subtraction.
The difference of 11 and 4 times a number equals 3
This means the numbers we are subtracting are 11 and 4n. (11 - 4n)
The difference of 11 and 4 times a number equals 3
This means our equation is equal to 3. (11 - 4n = 3)
Now we solve for N.
11 - 4n = 3
Start by subtracting 11 from both sides to work to isolate N.
11 - 11 - 4n = 3 - 11
-4n = -8
Next, divide both sides by -4 to finish isolating n.
-4/-4n = -8/-4
n = 2
I hope this helped you and have a great day!
The number in the equation is 2, as that when multiplied by 4 results in 8, and when subtracted from 11 gives 3.
Explanation:The question is looking for a number that, when multiplied by 4 and subtracted from 11, equals 3. We can represent this with the equation 11 - 4x = 3. To solve for x, we first move 4x to other side by adding 4x to both sides. This gives us 11 = 4x + 3. Then, we subtract 3 from both sides which gives us 8 = 4x. Finally, to solve for x, we divide both sides by 4. Therefore, x = 8 / 4 = 2.
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Solve for X. Each figure is a parallelogram.
Answer:
x = 3
Step-by-step explanation:
m < T = m < R (Because they are opposite angles of a parallelogram). Therefore:-
40x + 2 = 122
40x = 120
x = 120/40
x = 3
Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal. The value of the x is 3 units.
Given-For the parallelogram angle T is (40x+2) degrees.
The angle R is 122 degrees.
To solve this the it should be known about the angle of the parallelogram.
Parallelogram-Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal.
As in the given figure the angle T and angle R is the opposite angle. Thus angle T and angle R will be equal to the each other. Thus,
[tex]\angle T= \angle R[/tex]
Put the values of the angle in the above equation. Thus,
[tex]40x+2=122[/tex]
[tex]40x=122-2[/tex]
[tex]40x=120[/tex]
[tex]x=\dfrac{120}{40}[/tex]
[tex]x=3[/tex]
Hence the value of the x is 3.
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An equation that expresses a mathematical rule or relationship is a ___.
proportion
conversion factor
formula
ratio
The equation that expresses a mathematical rule or relationship is called a formula.
What is a formula?A formula in mathematics is an assertion of a fact, rule, or principle using mathematical symbols. Equations, equalities, identities, inequalities, and asymptotic expressions are a few examples of formulae.
Few examples of formulae are:
(a + b)^2 = a^2 + b^2 + 2ab
(a - b)^2 = a^2 + b^2 - 2ab
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
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Chole bought 4 movie tickets. Each ticket cost $6. What was the total cost of the movie tickets
Answer:
$24
Step-by-step explanation:
So, Basically you multiply 4 times 6 because you have 4 tickets that cost $6
and you would get 24 and add a dollar sign you should be good.
the results of a survey showed that 7 tenths of the housholds surveyed used a computer what fraction of the household surveyed did not use a computer
A leak in a water tank causes the water level to decrease by 3.6×10−23.6×10−2 millimeters each second. About how many millimeters does the water level in the tank decrease in 5 hours, or 1.8×1041.8×104 seconds? Drag and drop the values to the boxes to express the answer in scientific notation.
Answer:
[tex]6.48\times 10^{2}[/tex] millimeters.
Step-by-step explanation:
We have been given that a leak in a water tank causes the water level to decrease by [tex]3.6\times 10^{-2}[/tex] millimeters each second.
To find the decrease in water level in 5 hours let us multiply water decrease in one second by number of seconds in 5 hours.
[tex]\text{The decrease in water level in the tank}=3.6\times 10^{-2} \times 1.8\times 10^4[/tex]
Using the exponent product rule let us add the exponents with same base (10).
[tex]\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{-2+4}[/tex]
[tex]\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{2}[/tex]
[tex]\text{The decrease in water level in the tank}=6.48\times 10^{2}[/tex]
Therefore, the water level in tank decreased [tex]6.48\times 10^{2}[/tex] millimeters in 5 hours.
Convert 5 square root of a into exponential form?
Answer:
The answer is: " [tex]5a^\frac{1}{2}[/tex] " .
_____________________________________________
Step-by-step explanation:
______________________________________________
We are asked to convert "5 square root of a" ; into "exponential form".
Note that "5 square root of a" ;
or; " 5 root a " ;
means: " 5 times the {square root of the variable, "a" };
or : " 5 multiplied by the {square root of the variable, "a" }.
_______________________________________________
This can be written as: " [tex]5\sqrt{a}[/tex] " .
_______________________________________________
Note the following property of exponents:
[tex]\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n[/tex] .
_____________________________________________
So; to write: " √a " ; as an exponent :
______________________________________________
Note:
" [tex]\sqrt{a} = \sqrt[2]{a} = \sqrt[2]{a^1} = (\sqrt[2]{a})^1 = a^\frac{1}{2}[/tex] " .
_______________________________________________
So:
" [tex]\sqrt{a} = a^\frac{1}{2}[/tex] " ;
_______________________________________________
And:
________________________________________________
" [tex]5\sqrt{a} = 5a^\frac{1}{2}[/tex] " .
________________________________________________
→ The answer is: " [tex]5a^\frac{1}{2}[/tex] " .
________________________________________________
Hope this helps!
Best wishes in your academic endeavors
— and within the "Brainly" community!
________________________________________________
Find the quotient. 1,458/26
1458/26 = 56.0769230769
Hope this helps! <3
The quotient is 56, and there is a remainder of 2.
The quotient of 1,458 divided by 26 is 56. In long division, you would set up the problem as follows:
56
__________
26 | 1,458
You start by asking how many times 26 can fit into 145 (the first two digits of 1,458). The answer is 5 (5 times 26 equals 130).
You write the 5 above the line and subtract 130 from 145, leaving you with 15.
Then, you bring down the next digit, which is 8, making it 158. You repeat the process, finding that 26 goes into 158 six times (6 times 26 equals 156).
Write the 6 above the line, and you're left with a remainder of 2. So, the quotient is 56, and there is a remainder of 2.
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A country with an area of 425 square miles has a population of 9,350 residents. Which rate best represents the relationship between the population and the area of the country
Answer:
22 residents per square mile is the correct answer.
Step-by-step explanation:
One way to find the answer is the following:
The first number to be considered is 425, which is the total amount of square miles.
The second one is 9,350 that represents the amount of residents.
To find the answer, we have to perform the following calculation:
9350%425=22, which is the correct answer.
Step-by-step explanation:
hahaha have a great weekend and happy birthday to you i q and happy birthday really want to get together
Seymour is twice as old as Cassandra. If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages will be equal. What are their present ages?
Answer:
The age of Cassandra is 32 years and Seymour is 64 years old.
Step-by-step explanation:
Let the age of Cassandra be x.
The age of Seymour = 2x
If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages will be equal.
x + 16 = 2x - 16
2x - x = 16 + 16
x = 32 years
x = 32 years
The age of Seymour = 2x = 2 × 32 years = 64 years
The age of Cassandra is 32 years and Seymour is 64 years old.
Solve for the compound inequality 6b<24 or 4b+12>4
6b < 24 divide both sides by 6
b < 4
4b + 12 > 4 subtract 12 from both sides
4b > -8 divide both sides by 4
b > -2
Answer: -2 < b < 4 → b∈(-2, 4)