Answer:
( -3 , 7 )
Step-by-step explanation:
Answer:
3/7
Look at my diagram if you need more help with other problems that are like it, count the squares when the line evenly passes through it.
Please Help I Don't Understand!
Answer:
16ft^2
Step-by-step explanation:
Room measures 6ft by 4ft. That means entire room floor measures 6 x 4 = 24 ft squared.
But a third of the room is taken up by the tub, toilet and sink. So only two thirds of the floor needs tiling.
24/3 = 8 (one third of the floor)
8 x 2 = 16 (Two thirds of the floor - place that needs tiling)
So the answer is 16 ft squared
Answer:
16ft^2
Step-by-step explanation:
6*4=24
1/3*24=8
8ft^2= toilet sink ect
24-8=16ft^2
find the value of variable in the problems below -50 = -4x – 2(x - 8)
Answer:
11
Step-by-step explanation:
from the question:-50=-4x-2(x-8)
it becomes,
-50=-4x-2x+16
-50=-6x+16
-50-16=-6x
-66=-6x
x=-66/-6
x=11(minus sign will cancel each other)
To celebrate Halloween, Trisha's class is making candy necklaces. Trisha is helping pass out string from a 50-yard-spool. She gives 30 inches of string to each student. If there are 24 students in her class, how many yards of string will be leftover? 30 POINTS FOR CORRECT ANSWER
Answer:
30 yards of string will remain unused
Step-by-step explanation:
Ok, there are a lot of conversions going on here.
1 yard = 3 feet,
so 50 yards • 3ft per yard = 150 feet of string on the spool
1 foot = 12 inches,
so 150 feet • 12in per foot = 1800 inches of string on the spool
There are 24 students and they each get 30 inches, multiply 24 • 30 to see how much string is used:
24 • 30 = 720 inches of string used
Find how many inches of string is left by subtracting what is used from the original amount:
1800 - 720 = 1080 inches of spool left
To make this faster, instead of dividing by 12 inches per foot and then dividing by 3 feet per yard, I'm just dividing by 36 inches per yard.
1080 ÷ 36 = 30 yards of string remaining
There are 30 yards of the string that will be leftover.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been given that Trisha gives 30 inches of string to each student.
∵ 1 yard = 3 feet,
∴ 50 yards = 150 feet of string on the spool
∵ 1 foot = 12 inches,
∴ 150 feet = 1800 inches of string on the spool
There are 24 students and they each get 30 inches,
So used inches of string :
⇒ 24×30 = 720
Now subtract the used string from the original amount:
⇒ 1800 - 720 = 1080 inches of spool left
So yards of string remaining = 1080/36 = 30.
Hence, there are 30 yards of the string that will be leftover.
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True or False: The margin of error is to account for biased sampling methods.
Answer:
Step-by-step explanation:
tru i took the test
Tyson has a $50 gift card to use at a store. He does not have any additional money to spend at the store. Tyson will purchase a belt that costs $8 and x
number of shirts that cost $15 each. The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases. What is the mo
appropriate domain of the function?
(A) all integer values of
B
all positive integer values of x
©
0 x< 2 where x is an integer
D
0<x<3 where x is an integer
First
Back Pause I
Next
Review I
0 ≤ x < 2, where x is an integer. Option C
The appropriate domain for the function f(x) = 42 - 15x in the given context can be determined by considering the constraints of the problem.
Tyson has a $50 gift card, and he wants to purchase a belt that costs $8 and x number of shirts that cost $15 each. The function f(x) represents the balance on the gift card after Tyson makes the purchases.
The number of shirts Tyson can purchase depends on the remaining balance on the gift card. Since each shirt costs $15, the maximum number of shirts he can buy is limited by the amount of money left on the gift card.
If we subtract the cost of the belt ($8) and the cost of x shirts ($15x) from the initial balance ($50), we should get a non-negative result, indicating that Tyson has enough money on the gift card to make the purchases.
Therefore, we can set up the inequality:
50 - 8 - 15x ≥ 0
Simplifying, we have:
42 - 15x ≥ 0
Now, we can solve for x:
-15x ≥ -42
Dividing by -15 (remembering to flip the inequality sign), we get:
x ≤ 42/15
x ≤ 2.8
Since x represents the number of shirts Tyson can buy, it should be a whole number. Therefore, the appropriate domain for the function f(x) is:
0 ≤ x ≤ 2, where x is an integer.
Option C.
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Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-2 + y = -9
-27 + 2y = -18
Answer:
Both have no solution, neither cross the x-axis.
-2+y=-9
Can be simplified to y=-9+2, the same as y= - 7.
-27+2y= - 18 is the same as y= - 18+27/2, which is simplified to y= 4.5
Hope this helps!
please help what is 400÷56×14÷3
Answer: 33.3_
Step-by-step explanation:
400 divided by 56 equals 17.14_ and 17.4_ multiplied by 14 equals 100 and divided by 3 is equal to 33.3_
Answer: 0.0425
Step-by-step explanation:
PEMDAS
1. 56x14
2. 400/784
3. 0.1275/3
4. 0.0425
A car used 1/72 of a galloon of gas to drive 1/3 of a mile.At this rate,how many miles can the car travel using 1 galloon of gas?
Answer:
24
Step-by-step explanation:
3 x 1/72 = 1 mile
72/3 = 24
The car will use 1 gallon of gas per 24 miles
A sample of adults was asked to choose their favorite sport to watch from a list of four sports. Age Range 18-30 31-50 51 Total Sport Football 15 19 17 51 Baseball 7 12 18 37 Basketball 15 8 11 34 Soccer 12 9 6 27 Total 49 48 52 149 What proportion of those surveyed chose basketball as their favorite sport? StartFraction 34 Over 149 EndFraction StartFraction 15 Over 49 EndFraction StartFraction 18 Over 52 EndFraction StartFraction 37 Over 149 EndFraction
The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)
Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
To calculate the number of adults who chose basketball, we sum up the values from the age range categories:
Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball
Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:
Number of adults who chose basketball = 15 + 8 + 11 = 34
Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:
Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)
From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:
Total number of surveyed adults = 49 + 48 + 52 = 149
Now, we have the values we need to calculate the proportion:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
= 34 / 149
Hence the correct option is (a).
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3 squared by 6 squared?
Answer: 1/4
Step-by-step explanation:
3^2 / 6^2 =
(3/6)^2=
(1/2) ^ 2=
1^2 / 2^2 = 1/4
A game is played by rolling a fair six-sided die once. If the
die lands on a 1 the player wins $8 otherwise the player
loses $1. 50. What is the value of the game?
-$0. 30
$0. 10
$0. 08
$0. 18
To determine the value of the game, we need to calculate the expected value. The expected value is the sum of the products of each outcome and its probability.
In this game, there are two possible outcomes:
1. The die lands on 1, and the player wins $8. This outcome has a probability of 1/6.
2. The die lands on any number other than 1, and the player loses $1. This outcome has a probability of 5/6.
Let's calculate the expected value:
Expected value = (Probability of winning × Amount won) + (Probability of losing × Amount lost)
Expected value = (1/6 × $8) + (5/6 × -$1)
Expected value = $8/6 - $5/6
Expected value = $3/6
Expected value = $0.50
Therefore, the value of the game is $0.50.
None of the options provided matches the correct answer.
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The original radius of a sphere is 3 centimeters. Explain how the surface area of the sphere would change if the radius was doubled to 6 centimeters. Round your answers to the nearest whole number. Show all work and be sure to explain your thoughts. Please hurry
The change to the area when the radius is doubled would be an increase by 4.
How to check the change in area ?The surface area of a sphere is given by the formula 4 π r². This means that when the radius is 3 centimeters, the surface area of the sphere is:
= 4 π 3 ²
= 36 π
If the radius was doubled then the new radius would be 6 centimeters and the area would be:
= 4 π 6 ²
= 144 π
This shows that the the surface area will increase by a factor of 4.
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a line with a slope of 1 passes through the point (5,10). what is the equation in this slope-intercept form?
Answer:
y=x+5
Step-by-step explanation:
So first you need to plug everything into the point-slope formula which is
y-y1=m(x-x1)
m being the slope and y1 and x1 being the point (5,10)
So once you plug it in it should look like this: y-10=1(x-5)
Now you solve it
First you need to distribute 1 in 1(x-5) which is (x-5)
Now you have y-10=x-5
Then you add 10 to both sides which is y=x+5
Your answer is y=x+5
A portfolio is 70% invested in an index fund and 30% in a risk-free asset. The index fund has a standard deviation of returns of 15%. Calculate the standard deviation for the total portfolio returns.
The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.
The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.
To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:
Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance between index fund and risk-free asset)]
Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:
Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund
Plugging in the values, we get:
Standard deviation of portfolio returns = 0.70 * 15% = 10.5%
Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.
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PLEZZ HELP ME I AM CRYING OUT FOR HELP
Write a mathematical sentence that expresses the information given below. Use bas your variable name. If necessary: type = to mean 2 If you need to show multiplication, do not use the letter x. Use the asterisk (*) symbol instead, or simplify your answer.
Emily has 300 books. If Frank were to double the number of books that he now owns, he would still have fewer than Emily has.
Answer:
b * 2 < 300
Step-by-step explanation:
The mathematical sentence that expresses the information is 2b>300.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have,
Emily have 300 books.
If Frank were to double the number of books then he have
= 2b books
So, the number of Frank have after doubling have greater books than Emily .
Then, the inequality can be framed as
2b > 300
b>150.
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Lindsey is working really hard to improve her grade. on her first quiz she scored 67 point, on her second she scored 71, and on her third she scored 75. her scores continue to increase at the same rate. write a recursive and explicit formula for this geometric sequence.
The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)
To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.
From the given information, we can observe that Lindsey's scores are increasing at the same rate.
This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.
Let's denote the first term as a₁ = 67 and the common ratio as r.
Recursive Formula:
In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:
aₙ = aₙ₋₁ \(\times\) r
For Lindsey's scores, the recursive formula would be:
aₙ = aₙ₋₁ \(\times\) r
Explicit Formula:
The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.
The explicit formula for a geometric sequence is:
aₙ = a₁ \(\times r^{(n-1)\)
For Lindsey's scores, the explicit formula would be:
aₙ \(= 67 \times r^{(n-1)\)
In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.
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The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information? *
A the average teacher to student ratio
B the average grade of a 5th grader
C the average number of students in all grades
D the average number of students in all 5th grade classes
Answer:
D
Step-by-step explanation:
Answer:
D would be the answer:) hope this helps
QS∥PT. Complete the proof that m∠P+m∠T=m∠RQT without using the Triangle Angle Sum Theorem.
Solution:
Given the figure;
\(\bar{QS}||\bar{PT}................\text{ Given}\)Then;
\(\angle P\cong\angle RQS....................\text{ Corresponding angle theorem}\)\(\angle T\cong\angle SQT...............\text{ Alternate interior angles theorem}\)\(m\angle RQS+m\angle SQT=m\angle RQT..........\text{ Additive property of angle measure}\)\(m\angle P+m\angle T=m\angle RQT..........\text{ Substitution}\)CORRECT ANSWER: Corresponding Angles Theorem
A group of students was asked, "How many hours did you watch television last week?" Here are their responses. 8, 7, 19, 20, 15 Find the mean and median number of hours for these students.
Answer:
median 15
mean 13.8
Step-by-step explanation:
:)
1 point
52. A primary school with six
grade levels would like to do a
survey with 50 students about
their favourite lunch menu. The
school would like the sample to
be fair. Which set of students
should they collect the 50
samples from?
*
O All the students from the 4-H clubs.
O
Grade 6 students only.
Randomly selected students from
grades 4-6 only
Randomly selected students from
across all 6 grade levels.
Randomly selected students from across all 6 grade levels.
Answer:
survey across all grade levels i think
Step-by-step explanation:
good luck
-3x+3y=12
Y= x+4
The solution set of this system is best explained by which of these statements?
Answer:
C
Step-by-step explanation:
Reform the first graph: -3x + 3y = 12; 3y = 12 + 3x; y = 4 + x; y = x + 4Compare y = x + 4 and y = x + 4: they are equal, thus the same slope (1) and the same y-intercept (4)Find the mean of the data.
Mean: 9 students
At the next meeting of the club, there are
15 students. How does including this value
with the data affect the mean?
The mean increases
from 9 to
?
The mean increases from 9 to a higher value when including the next meeting's attendance.
How to determine if including the value with the data affect the meanTo find the mean of a set of data, you need to sum all the values and divide by the total number of values.
In this case, the mean of the initial data with 9 students is given as 9.
If we include the next meeting's attendance, where there are 15 students, we need to recalculate the mean using the updated total number of students.
The new mean:
Total number of students = 9 (initial) + 15 (next meeting) = 24
New mean = Sum of values / Total number of values
Since we don't have the sum of the values, we can't calculate the exact new mean without additional information.
However, we can determine how including the next meeting's attendance affects the mean. Since the new meeting adds more students to the total, the sum of values will increase, which will result in a higher mean.
Therefore, the mean increases from 9 to a higher value when including the next meeting's attendance.
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What are the 7 types of functions?
There are 22 different types of functions based on range, element, equation, and domain.
Based on the range it includes Modulus Function, rational function, signum function, even and odd functions, periodic functions, greatest integer function, inverse function, and composite functions. On the basis of elements, it includes One One function, many one functions, onto function, one one and onto function, into function, and constant function. On the basis of the equation, it includes the identity function, linear function, quadratic function, cubic function, and polynomial functions. On the basis of the domain, it has algebraic functions, trigonometric functions, and logarithmic functions.
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To anybody who is really good at math can you click on the image and answer the 4 questions please and thanks!
Answer:
I did this erlier but...
1) Wallmart
2)16 Oz
3)You woluld save 7 cent per pound by choosing the 11 lbs turkey.
4)You would save $2.00 per notebook. You would save $10.00 buy buying 5.
Step-by-step explanation:
You divide the price by size.
Exaple:
3.99/12
at the 1997 rate of consumption, about how long will the estimated 2,000 billion barrels of oil last?a. 25 yearsb. 50 yearsc. 75 yearsd. 200 yearse. 500 years
As the consumption rate of 1997 estimated 2,000 billion barrels of oil last in 74.34 approx 75 year .
As here the rate of 1997 is not given which will be find in the below link which is 73.7000 millions barrels per day was the consumption of oil. here we have awalible the data of per days and we have to calculate for year so in year 1997 there was 365 days so comsumption of oil yearly was .
1997 consumption = 73.700 million barrels per day
so for 1 year 73.700 million *365 =26,900.5 million barrels per day
her we find the rate of yearly so by this rate we will calculate the consumption of 2000 billion barrels of oil
2000 billion = 2,000,000 millions
here we are calculation this in million
so for 2,000,000 million will be
2,000,000 million /26,900.5 million =74.34 year
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Evaluate the following expression for x = 3 and y = 4:
x2 + y 2 =
Answer:
Step-by-step explanation:
14
Find the measure of angle X in the figure below Choices: 35°, 47°, 73°, 78°
Answer:
To find angle x we must first find y
For angle y
Angles on a straight line add up to 180°
56 + 51 + y = 180
y = 180 - 56 -51
y = 73°
Now for angle x
Angles in a triangle add up to 180°
y + x + 72 = 180
y = 73°
73 + x + 72 = 180
x = 180 - 73 -72
x = 35°
Therefore angle x is 35°
Hope this helps.
First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:
180-52-59=69
y=69°
Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:
63+y+x=180
63+69+x=180
180-63-69=x
x=47°
Find the particular solution that satisfies the differential equation and the initial condition. f''(x) = sinx.
The particular solution that satisfies the differential equation and the initial condition f(0) = a is: f(x) = -sin(x) + C1x + a.
To find the particular solution that satisfies the differential equation f''(x) = sin(x) and an initial condition, we need to integrate the equation twice and apply the initial condition.
1. First Integration:
Integrating the differential equation f''(x) = sin(x) with respect to x once gives us:
f'(x) = -cos(x) + C1
where C1 is the constant of integration.
2. Second Integration:
Integrating f'(x) = -cos(x) + C1 with respect to x again gives us:
f(x) = -sin(x) + C1x + C2
where C2 is another constant of integration.
3. Applying the Initial Condition:
To apply the initial condition, we need to use the given information about the problem. Let's say the initial condition is given as f(0) = a, where 'a' is a specific value.
Substituting x = 0 and f(x) = a into the equation, we get:
a = -sin(0) + C1(0) + C2
a = 0 + 0 + C2
C2 = a
Therefore, the particular solution that satisfies the differential equation and the initial condition f(0) = a is:
f(x) = -sin(x) + C1x + a
In this particular case, the initial condition f(0) = a determines the value of the constant C2, which becomes C2 = a. The resulting particular solution incorporates the constant C1 from the first integration and the constant a from the initial condition.
Note that without a specific initial condition or boundary condition, the constants C1 and C2 remain arbitrary and can be adjusted to fit different situations or additional information if provided.
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The smallest subset of rational numbers is integers.
True
False
Answer:
False
Step-by-step explanation:
Tuliskan hasil Perkarian bentuk aljabar berikut
Step-by-step explanation:
its a photo hope this will help you
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