Answer:
The area of the square with a side length of 2.4 m is 5.76 square meters.
Step-by-step explanation:
The area of a square is given by the formula:
Area = side x side
In this case, the length of one side of the square is 2.4 m. So, we can substitute 2.4 for "side" in the formula and get:
Area = 2.4 x 2.4
Area = 5.76 square meters
Therefore, the area of the square with a side length of 2.4 m is 5.76 square meters
On a piece of paper graph f(x) = 3x. Then determine which answer choice matches the graph you drew
Answer:
--
Step-by-step explanation:
Show all the options please
Not able to see all options
robyn has 3 pans to bake brownies for her friend she pours 1/4 cup of chocolate chips into each pan how much chocolate chips does she need in all
Answer:
3/4
Step-by-step explanation:
If she has 3 pans and pours 1/4 in each that's 3/4
Answer:
3/4 cups of choclate chips
Step-by-step explanation:
1/4+1/4+1/4=3/4
Determine the value of x 4/5(x+9) - 1/5x=3/5(x+12)
Answer:
infinite number of solutions
Step-by-step explanation:
\(\frac{4}{5}\) (x + 9) - \(\frac{1}{5}\) x = \(\frac{3}{5}\) (x + 12)
multiply through by 5 to clear the fractions
4(x + 9) - x = 3(x + 12) ← distribute parenthesis on both sides
4x + 36 - x = 3x + 36
3x + 36 = 3x + 36
since both sides are the same then any value of x will make the equation true.
Thus there are an infinite number of solutions
Draw a line from the figure to the area of the figure.
13 square units
14 square units
15 square units
Hurry please do tomorrow this is a 3rd grade problem
To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.
How do you Draw a line?Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.
E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.
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What is the slope of the graph shown below?
Answer:
Option 3: -2
Step-by-step explanation:
The slope of the graph is negative, and the only option with a negative term for the slope is -2.
So the slope of the graph is -2.
In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1not attractive; 10extremely attractive). Find the range, variance, and standard deviation for the given sample data. Can the results be used to describe the variation among attractiveness ratings for the population of adult males
Answer:
\(Range = 7\)
\(s^2 = 3.53\) -- Variance
\(s = 1.88\) --- Standard Deviation
No, it can not be used
Step-by-step explanation:
Given
I'll use the data in the attachment to answer the question.
(a) Range:
\(Range = Highest - Lowest\)
From the attached data.
\(Highest = 10\)
\(Lowest = 3\)
So:
\(Range = 10 - 3\)
\(Range = 7\)
(b) Variance:
We start by calculating the mean:
\(\overline x = \frac{\sum x}{n}\)
\(\overline x = \frac{5 + 8 + 3 + 8 + 6 + 10 + 3 +......+ 8+8+7}{26}\)
\(\overline x = \frac{171}{26}\)
\(\overline x = 6.58\) --- approximated
The sample variance is then calculated using:
\(s^2 = \frac{\sum(x_i - \overline x)^2}{n-1}\)
This gives:
\(s^2 = \frac{(5-6.58)^2+(8-6.58)^2+(3-6.58)^2+(8-6.58)^2+..............+(8-6.58)^2+(8-6.58)^2+(7-6.58)^2}{25-1}\)
\(s^2 = \frac{88.3464}{25}\)
\(s^2 = 3.53\) --- approximated
(c) Standard Deviation.
This is calculated as:
\(s = \sqrt{s^2\)
Substitute 3.53 for \(s^2\)
\(s = \sqrt{3.53}\)
\(s = 1.88\) --- approximated
(d) No, it can not be used because the selected sample is too small to represent the total population and as such the result of the measure of variations can not be used.
Point M is the midpoint of AB. Find AM.
2x + 34
6x + 26
+
A
M M
B
Answer: AM = 76 and AB = 152
Step-by-step explanation:A little annoying but basically AM times 2 shoud equal AB or (2x+34)*2 = 6x+26 solve to get x equals 21 plug back in to get 76 for AM and 152 for AB
Review the simple interest rate based on FICO scores to answer the question:
FICO Score Simple Interest Rate
800–850 5.295%
740–799 6.597%
670–739 9.132%
580–669 10.358%
300–579 14.313%
Kamryn plans to borrow $13,250.00 with a simple interest rate loan. Determine the amount of interest Kamryn will save if she is able to raise her credit score from 665 to 680.
Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.
According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.
Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.
Interest = Principal * Rate
= $13,250.00 * 0.10358
≈ $1,370.56
Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.
Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.
Calculating the interest with a credit score of 680:
Interest = Principal * Rate
= $13,250.00 * 0.09132
≈ $1,210.57
Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.
Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
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2. Kaden has 105 tickets to give away. He
gives 5 tickets to each person who asks
for tickets. He records the number of
tickets he has left by subtracting 5 from
the previous total. How many times can
Kaden give away 5 tickets?
A. 110
B. 100
C. 21
D. 15
Answer: C. 21
Step-by-step explanation:
= 105/5
= 21
Answer:
c
Step-by-step explanation:
105/5
=21
so the answer is 21
A curve has equation y = 2x + 1/(x-1)² Verify that the curve has a stationary point at x=2 and determine its nature.
There is no stationary point at x = 2. The nature of the curve at x = 2 cannot be determined since there is no stationary point.
To verify that the curve has a stationary point at x = 2, we need to find the derivative of the equation and set it equal to zero.
Given the equation:
y = 2x + 1/(x-1)²
Let's find the derivative dy/dx:
dy/dx = d/dx [2x + 1/(x-1)²]
To find the derivative, we can use the power rule and the chain rule. Let's differentiate each term separately:
For the first term, 2x, the derivative is 2.
For the second term, 1/(x-1)², we can rewrite it as (x-1)^(-2) to apply the power rule. The derivative is then:
d/dx [(x-1)^(-2)] = -2(x-1)^(-3) * d/dx (x-1)
Using the chain rule, d/dx (x-1) = 1, so the derivative becomes:
-2(x-1)^(-3) * 1 = -2/(x-1)^3
Now, let's set dy/dx equal to zero and solve for x:
-2/(x-1)^3 = 0
This equation is satisfied when the numerator is equal to zero:
-2 = 0
However, -2 is not equal to zero, which means there is no x value that makes dy/dx equal to zero.
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What is the slope of a line that passes through the points (-2, 3) and (4, -12)?Choices -3/2 -5/2 -2/5 -9/2
Answer:
B) - 5/2--------------------------
To find the slope use the slope formula:
\(m=\cfrac{y_2-y_1}{x_2-x_1}\), where, \(x_1=-2,\ y_1=3,\ x_2=4,\ y_2=-12\)Substitute the coordinates into slope formula to get the slope:
\(m=\cfrac{-12-3}{4-(-2)}=\cfrac{-15}{6}=-\cfrac{5}{2}\)The matching choice is B.
An octopus weighed 3 5/6 kilograms.After two weeks,its weight was increased by 1 4/5 kilgrams.But afterwards,it got sick and lost 2 7/15 kilograms.what is the current weight?
I think it's 3 1/6 kilograms
Step-by-step explanation:
3 5/6 + 1 4/5 since it increased
find the LCD (Least Common Denominator)
that would be 30
3 25/30 + 1 24/30
=4 49/30
= 5 19/30
Then we do subtraction since it lost some weight
5 19/30 - 2 7/15
find LCD again
5 19/30 - 2 14/30
=3 5/30
simplify
3 1/6 kilograms. That's what I think.
Which function represents a reflection of f(x) =
(4) across the y-axis?
g(x) = -3(4)*
O g(x)=--(4)*
O g(x) = (4)*
O g(x) = (4)-x
Function that represents a reflection of f(x) = (4) across the y-axis is
g(x)= -4.
We have to look for the function that represents g(x), a reflection of f(x) = across the x-axis.
Explanation:
Parent function f(x) = 4.
By the transformation reflection rule across the x-axis:
f(x) →→ – g(x).
Then,
the function is f(x) = 4 and reflected across the x-axis then it became g(x) = -4.
f(x) = 4 reflected over y-axis is g(x)= -4 change the murmur of x. Now reflection over the y-axis implies that x is consistent, and they caught changes It turns negative.
So,
g(x)= (4) (-1) or g(x)= (-4)
Therefore, g(x) = −4 function represents a reflection of f(x) = (4) across the y-axis.
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An energy bar company manufactures peanut butter and chocolate bars.
Peanut butter bars cost 25¢ per lb.
The chocolate bars cost 30¢ per lb.
The company sold 260 lbs of bars for $71.
How many of the bars sold were peanut butter?
Answer:
sold 120 chocolate bars
sold 140 peanut butter bars
Step-by-step explanation:
x = peanut butter bars
y = chocolate bars
x + y = 260, total lbs
0.25x + 0.30y = 71, money
solve double variable equation
multiply -4 on both sides for 2nd equation
-x + -1.2y = -284
add both equations together
-0.2y = -24
y = 120
x = 260 - 120
x = 140
sold 120 chocolate bars
sold 140 peanut butter bars
What function is the inverse of f(x) = 7/x-2 for x≠2?
The given function is expressed as
f(x) = 7/(x - 2)
To find the inverse of a function, we would make f(x) = y
This becomes
y = 7/(x - 2)
Then we would invert the variables by replacing x with y and y with x. It becomes
x = 7/(y - 2)
Therefore, the inverse is
f^(-1)(x) = 7/(x + 2)x + 2)ion, we would ma
How do you look for a correlation using data points?
The Correl function is the easiest way to for calculating correlation between two variables.
What is correlation ?
correlation can be defined as the measure of relation between two variables.
In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.
To find correlation using data points are as follows :
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Hence, The Correl function is the easiest way to for calculating correlation between two variables.
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Jorge bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent. Show your work.
HELP!!
The solution is:
⇒ 6b = 95.94 (equation to determine cost of one box)
cost of one box 'b' = $`15.99
⇒ 12t = 95.94 (equation to determine cost of per tile)
cost of one tile t = $0.7995.
Given :
Jorge bought a crate of floor tiles for $95.94.
The crate had 6 boxes of floor tiles.
Each box contained 20 floor tiles .
To Find :
Write and solve equation to determine the cost per box'b'.
Write and solve a second equation to determine the cost per tile't'
Solution :
Cost of one box = b
There are 6 boxes
So, cost of 6 boxes = $ 6b
Since Jorge bought 1 crate( = 6 boxes) of cost $95.94
⇒ (equation to determine cost of one box)
⇒6b = 95.94
⇒b =15.99
Thus cost of one box = $`15.99
Since 1 box 20 floor tiles
So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles
We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94
Cost of one tile = t
Cost of 120 tiles = $120t
⇒ (equation to determine cost of per tile)
⇒12t = 95.94
⇒t = 0.7995.
Thus cost of one tile t = $0.7995.
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If a=12 and h = 25, then the volume a triangular pyramid is?
The volume of the triangular pyramid, with a base area of 12 and a height of 25, is equal to 100 cubic units.
To calculate the volume of a triangular pyramid, we need the values of the base area and the height. Given that a = 12 and h = 25, we can proceed with the calculation.
The formula for the volume of a triangular pyramid is (1/3) * base area * height. Since we know the base area is equal to a, we can substitute the values into the formula.
Volume = (1/3) * a * h
Plugging in the given values, we have:
Volume = (1/3) * 12 * 25
Simplifying the expression further:
Volume = (1/3) * 300
Volume = 100
Therefore, the volume of the triangular pyramid, with a base area of 12 and a height of 25, is equal to 100 cubic units.
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estimate 0.047512968 to the nearest hundredth express your answer as a single digit times a power of 10
Answer:
Estimate: 0.05, Scientific Notation: 5*10^-2
Step-by-step explanation:
Using the rules of rounding, we get 0.05. Next, all we do is move the decimal place to the right, and count the amount of times we move it to the left, 2, so the exponent is -2
What is a reasonable prediction? Please help! :(
Answer:
A estimated guess based off past information not some random number
Step-by-step explanation:
Example:
Make a reasonable prediction on if we will have school tomorrow. We are expecting a foot of snow.
Reasonable: We most likely won't because it will be cold and snowing. And it won't be safe.
Not Reasonable: We will because it will be sunny
- left his house and drove to the store. He stopped and went inside. From he drove in the same direction until he got to the bank. He stopped and went the bank. Then he drove home. The graph below shows the number of blocks com home Connor is a minutes after he left his house, until he got back home.Connor left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Connor is a minutes after he left his house, until he got back home.
The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.
What is graph?Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.
It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.
The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.
Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.
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Understanding Functional Relationships
Which statements are true of functions? Check all that apply.
O AIl functions have a dependent variable.
Al functions have an independent variable.
0 The range ofa function includes its domain
DA vertical line is an example ofa functional relationship.
O A horizontal line is an example of a functional relationship.
O Each output value of a function can correspond to only one input value.
Answer:
A horizontal line is an example of a functional relationship.
All functions have an independent variable.
All functions have a dependent variable (At least).
Step-by-step explanation:
By description, a relation is a purpose if each input condition has one and only one output value.
A function has at least a secondary variable and an autonomous variable. For instance, given a function:
Y=X
The secondary variable is "y" and the autonomous variable is "x".
The Field of the role is the collection of potential input values and the Range is the collection of potential output values,
Vertical lines have an irregular slope. Since the value of "x" never varies, an upward line is not an illustration of a functional relationship.
In the matter of Horizontal lines, for any x-value, you get the equivalent y-value. These are described as Constant functions.
Select the correct answer.
Solve the following equation for x.
x2 - 36 = 0
A.
x = 1; x = -36
B.
x = -1; x = 36
C.
x = -6; x = 6
D.
x = -18; x = 18
Answer: D
Step-by-step explanation:
2x-36=0
+36 +36
___________
2x=36
x=18
Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.
the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone
Answer:
Step-by-step explanation:
V = 3.9V
I = 0.12A
Ohm's Law, V = IR
Rearranging Ohm's Law, R = V/I
R = 3.9/0.12 = 32.5Ω
Does anyone know this answer??
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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please answer the full question
To demonstrate probabilities, a mathematics teacher had students draw cards from a bag which contained 26 red cards and 26 black cards. During class, the bag was dropped, and 5 red cards and 1 black card were lost.
Tell whether the loss of cards changes the probability of drawing a black card from the bag.
If so, was the probability increased or decreased? Support your answer by calculating the probability for each situation.
Answer:
The probability of drawing increases from drawing a black card from the bag.
Step-by-step explanation:
If 5 were dropped from red it would leave red with 21 cards and if 1 was dropped from black cards it would leave 25 cards in black cards. It does change the probability of drawing a red card it is more likely now to draw a black card than a red card because there are more black cards than red.
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Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
what is the value of x
The value of the variable x for the similar triangles is equal to 25
How to evaluate the value of x for the similar trianglesThe triangles BDR and QDC are similar, this implies that the length DC of the smaller triangle is similar to the length DR of the larger triangle
and the length DQ of the smaller triangle is similar to the length DB of the larger triangle
so;
x/(15 + x) = 40/64
64x = 40(15 + x) {cross multiplication}
64x = 600 + 40x
64x - 40x = 600 {subtract 40x from both sides}
24x = 600
x = 600/24
x = 25
Therefore, the value of the variable x for the similar triangles is equal to 25
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Four points are always coplanar if they:
Four points are always coplanar if they: lie in same plane.
Firstly understanding the coplanar points. Coplanar points are refers to the points if they are present in same plane. Further defining the word "plane". Plane is the surface, which is flat and two dimensional in nature. The surface is infinite. Plane can also be referred as the analogue of 3 dimensional space, you we can also interpret the plane as extension of point or line.
So, the points that lie on different planes will not be coplanar. Now, understanding the points on lines. Two or more lines may or may not be in same plane. Subsequently, points may or may not be coplanar, depending upon the lines they are placed on. Thus, we can not definitely say that points lying on the same line are coplanar.
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How do I do this pls
Answer:
2c^2
simplified explanation:
(8c^3d^2)/(4cd^2)
= 2c^2
step-by-step explanation:
8/4 = 2
law of indices: (x^m)/(x^n) = x^m-n
using law of indices,
(c^3)/c = (c^3)/(c^1) = c^3-1 = c^2
(d^2)/(d^2) = d^2-2 = d^0 = 1
so,
(8c^3d^2)/(4cd^2)
= 2 × c^2 × 1
= 2c^2