Answer:
The coordinates of the image B' is;
\((-4,6)\)
Explanation:
Given the figure in the attached image.
The coordinate of the Preimage B is;
\(B(6,4)\)Then rotating it 90 degrees in the counter-clockwise direction;
\((x,y)\rightarrow(-y,x)\)Applying the transformation to the given coordinate, we have;
\(B(6,4)\rightarrow B^{\prime}(-4,6)\)Therefore, the coordinates of the image B' is;
\((-4,6)\)
The product of two whole numbers is 10,000, If neither number contains a zero digit, what are the two numbers?
Pete traveled 1,380 miles in two days. The first day, he traveled 1.5 times as far as he did the second day. How many miles did he drive on
He drove 828 miles on the first day.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.
Let x = distance Pete traveled on the second day
If on the first day, he traveled 1.5 times as far as he did the second day, then
distance Pete traveled on the first day = 1.5x
If Pete traveled 1,380 miles in two days, the the sum of the distance he traveled in two days is equal to 1380.
x + 1.5x = 1380
Simplify the equation and solve for the value of x.
x + 1.5x = 1380
2.5x = 1380
x = 552
distance Pete traveled on the second day = 552 miles
distance Pete traveled on the first day = 1.5(552) = 828miles
Therefore, he drove 828 miles on the first day.
The problem seems incomplete. The question must be
"Pete traveled 1,380 miles in two days. The first day, he traveled 1.5 times as far as he did the second day. How many miles did he drive on the first day?"
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A lawnmower takes 750 complete revolutions to cut grass on a field. Calculate the area of the field if the diameter of the lawnmower is 84 cm and the length is 1 m.
The area of the field covered by the lawnmower is 1980 square meters which is being calculated through the area calculation formula.
What do you mean by Area?The measure of such a two-dimensional region, form, or planar lamina in the plane is called the area. On the two-dimensional surface of a three-dimensional object, surface area has been its analogue. A space occupied by such a flat shape or an object's surface can be thought of as the area in geometry. A size of a surface is typically the area. For various shapes, different area formulas are used. Such are the areas of triangles, squares, and circles, among others.
First, we need to calculate the distance covered by each revolution of the lawnmower.
The circumference of the lawnmower can be calculated using the formula:
Circumference = π x diameter
C = π x 84 cm
C = 263.89 cm
Since the length of the lawnmower is given in meters, we need to convert the circumference from centimeters to meters by dividing by 100:
C = 2.64 m
Therefore, the distance covered by each revolution of the lawnmower is 2.64 meters.
To calculate the area of the field covered by the lawnmower, we need to multiply the distance covered by the total number of revolutions:
Area = distance x number of revolutions
Area = 2.64 m x 750
Area = 1980 square meters
Therefore, the area of the field covered by the lawnmower is 1980 square meters.
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The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges for the first time they service your lawn, and the price will multiply by a factor of every week thereafter. Green Thumbs charges for the first time they service your lawn, and then charges an additional every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?
Answer:
The answer is "\(\$132.77\)".
Step-by-step explanation:
Please find the complete question in the attached file.
\(\to 1 + (1.25)^{29} = 647.23\\\\\to 200 + (20 \times 29) = 780\\\\\to 780 - 646.23 = 132.77\\\\\)
x - 4b
this is about algebra I had a doubt please answer this as well as the question above
Do variables have values? Like would they have a value of 1?
Answer: YES
Step-by-step explanation:
Variable have values it can be constant or changing.
for example if it is assigned a constant value 5 then it is a constant
if it has a function that varies from one value to another then it too has value but it frequently changes.
Just treat variable as a container containing some water in it sometimes we know about its quantity and sometimes it is unknown.
They may or may not have a value of 1 depending on what values you are assigning to them
hope it was of help
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9,000x0.34
Plss help me
Answer:
3060
Step-by-step explanation:
Answer:
3,060
Step-by-step explanation:
9000 x 0.34 = 9000 x 34/100
9000 x 34/100 = 306000/100
306000/100 and 100/100 = 3060
True or False: A p-value = 0.09 suggests a statistically
significant result leading to a decision to reject the null
hypothesis if the Type I error rate you are willing to tolerate (α
level) is 0.05?
False
A p-value of 0.09 does not suggest a statistically significant result leading to a decision to reject the null hypothesis if the Type I error rate (α level) is 0.05. In hypothesis testing, the p-value is compared to the significance level (α) to make a decision.
If the p-value is less than or equal to the significance level (p ≤ α), typically set at 0.05, it suggests strong evidence against the null hypothesis, and we reject the null hypothesis. Conversely, if the p-value is greater than the significance level (p > α), it suggests weak evidence against the null hypothesis, and we fail to reject the null hypothesis.
In this case, with a p-value of 0.09 and a significance level of 0.05, the p-value is greater than the significance level. Therefore, we would fail to reject the null hypothesis. The result is not statistically significant at the chosen significance level of 0.05, and we do not have sufficient evidence to conclude a significant effect or relationship.
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Determine which of the following describes nominal data.
i). Michaelangelo's sells small, medium, large, and jumbo pizzas.
ii). Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms.
i) Michaelangelo's sells small, medium, large, and jumbo pizzas. - Not nominal data.
How to identify nominal data?Nominal data refers to a type of categorical data where values are assigned to distinct categories or labels without any inherent order or numerical significance. In the given options, both i) and ii) involve categorical information, but only option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") describes nominal data.
In option i), the sizes of pizzas (small, medium, large, and jumbo) can be considered ordinal data as they have a specific order and imply a relative size difference. Ordinal data possesses a sequential arrangement where the categories have a meaningful relationship or hierarchy.
On the other hand, option ii) presents toppings (pepperoni, black olives, and mushrooms) as distinct categories without any inherent order or hierarchy.
Each topping represents a separate label or category, making it an example of nominal data.Therefore, option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") accurately describes nominal data.
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jessica's fish tank has 19 liters of water in it. she plans to add 5 liters per minute until the tank has more than 59 liters. what are the possible numbers of
minutes jessica could add water?
use t for the number of minutes.
write your answer as an inequality solved for t.
Answer:
8 minutes.
Step-by-step explanation:
Using ' t ' for the number of minutes.
" 59 > 19 + 5t "
→ Solve for t...
= 59 > 19 + 5t
= 59 - 19 > 5x
= 40 > 5t
= 40/5 > t
= 8 > t
Thus, It will take 8 minutes to add 59 litres of water.
19+5t>59
5t>59-19
5t>40
t>8
6. Simplify using appropriate property: 5/7X1/5+5/7X3/5
Answer:
5/7/10/21/5
this is not a way how you gave the question
Suppose (-5,1) is a point on a graph of y=f(x). What is a point that will be on the graph of y =f (-7x) -4
f(-5) = 1
f((-7)(5/7)) = f(-5) = 1
When x = 5/7: f(-7(5/7)) - 4 = 1 - 4 = -3
(5/7, -3) is a point on the graph of y = f(-7x) -4
Use the information to answer the question.
A gym offers its new customers two plans for 6-month memberships. In both plans, the first 3 hours
•
Plan A: $45. 00 per month, plus $10 per additional -Io hour of racquetball
Plan B: $75.00 per month, plus
$7.50 per additional ; hour of racquetball
Rami
plays 5 hours of racquetball per month.
How much money
will Rami save in 6 months with the
cheaper plan?
Enter the answer in the
$
Answer: A is cheaper
Step-by-step explanation: In the plan A, he pays $270( 45×6) as fee
Then $50/month for racket which is $300
total270+300=570
In plan b he pays 75 per month which is $450 and $37.5 on racket per month which is $225 making a total of $675
Difference in 6months is 675-570= $105 saved
Answer: 105
Step-by-step explanation:
did test
Use method of reduction of order to find a second solution y2(x) of the homogeneuos equation and a particular solution of the given nonhomogeneous equation:
y" - 4y = 2; y1 = e^-2x
Please use equation and not substitution
The homogeneous equation and a particular solution of the given nonhomogeneous equation is \(& y=c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}\).
The given nonhomogeneous equation is y" - 4y = 2
We are given \($y_1=e^{-2 x}$\)
Let \($y_2=u y_1$\)
A linear differential equation is homogeneous if it is a homogeneous linear equation in the unknown function and its derivatives.Non-homogeneous differential equations are simply differential equations that do not satisfy the conditions for homogeneous equations. In the past, we’ve learned that homogeneous equations are equations that have zero on the right-hand side of the equation.
The two most common methods when finding the particular solution of a non-homogeneous differential equation are:
The method of undetermined coefficients. The method of variation of parameters.\($$\begin{aligned}& y_2=u e^{-2 x} \\& y_2^{\prime}=u^{\prime} e^{-2 x}-2 u e^{-2 x} \\& y_2^{\prime \prime}=u^{\prime \prime} e^{-2 x}-2 u^{\prime} e^{-2 x}-2 u^{\prime} e^{-2 x}+4 u e^{-2 x} \\& y_2^{\prime \prime}=u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}+4 u e^{-2 x}\end{aligned}$$\)
Substitute in \($y^{\prime \prime}-4 y=0$\), we get
\($$\begin{aligned}& u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}+4 u e^{-2 x}-4 u e^{-2 x}=0 \\& u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}=0 \\& e^{-2 x}\left(u^{\prime \prime}-4 u^{\prime}\right)=0 \\& u^{\prime \prime}-4 u^{\prime}=0 \\& u^{\prime \prime}=4 u^{\prime}\end{aligned}$$\)
Substitute \($$u^{\prime}=v$ and $u^{\prime \prime}=v^{\prime}$\), we get
\($$\begin{aligned}& v^{\prime}=4 v \\& \frac{d v}{d x}=4 v \\& \frac{1}{v} d v=4 d x\end{aligned}$$\)
Integrate both sides, we get
\($u=\frac{1}{4} C_1 e^{4 x}+C_2$$\)
put in \($y_2=u y_1$\)
\($$y_2=\left(\frac{1}{4} C_1 e^{4 x}+C_2\right) e^{-2 x}$$\)
Choose \($$C_1=4$ and $C_2=0$\), we get
\($$y_2=e^{2 x}$$\)
\($$\begin{aligned}& y_c=c_1 y_1+c_2 y_2 \\& y_c=c_1 e^{-2 x}+c_2 e^{2 x}\end{aligned}$$\)
Particular Solution
\($$\begin{aligned}& y_y=A \\& y_y{ }^{\prime}=0 \\& y_y{ }^{\prime \prime}=0\end{aligned}$$\)
Substitute in \($y^{\prime \prime}-4 y=2$\), we get
\($$\begin{aligned}& 0-4 A=2 \\& -4 A=2 \\& A=-\frac{1}{2} \\& \therefore y_y=-\frac{1}{2}\end{aligned}$$\)
General Solution
\($$\begin{aligned}& y=y_6+y_y \\& y=c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}\end{aligned}$$\)
Therefore, the second equation is \(& y_{2} =c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}\).
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What is the value of x in the equation 4(–5 + x) = –4?
A.
–6
B.
–4
C.
4
D.
6
Answer:
C. 4
Please give me brainliest if you can, thank you :)
Step-by-step explanation:
4(-5+x)= -4
-20+4x= -4
+20 +20
4x= 16
/4 /4
x= 4
Answer:
C.
4
Step-by-step explanation:
4(-5 + x) = -4
Value of x?
___________
When we are trying to solve questions like this, we need to isolate x, do a followed :
4(-5 + x) = -4
Distribute :
(4(-5) + 4(x)) = -4
-20 + 4x = -4
Add 20 to both sides :
4x = 16
Divide 4 from both sides to get x alone :
x = 4
Therefore C. is the answer
complete the table of values for y=x3+x2-6x
Answer:
y= x ^3 - 4x
Step-by-step explanation:
Regroup terms.
y=x^3 +2x−6x
Simplify x^3 +2x−6x to x^3 −4x.
AAAAANNNNNnnNNND the answer is
y= x^3 - 4x
IN GRAPH
At the store Brand P potato chips were $19.00 for 5 bags. Brand Q potato chips were $13.17 for 3 bags. Which brand has the cheaper price?
Answer:
Brand P has the cheaper price
Step-by-step explanation:
Brand P: $19.00 / 5 bags = $3.80 per bag
Brand Q: $13.17 / 3 bags = $4.39 per bag
Given the data below, which of the following statements correctly describes the relation of the point,(2,2),to the line of best fit?
The point (2,2) may be considered an anomaly and should be investigated further to determine if it is a valid data point or if it should be excluded from the analysis.
The relation of the point (2,2) to the line of best fit can be determined by analyzing the residual value of this point. The residual value is the difference between the actual y-value and the predicted y-value based on the line of best fit. If the residual value is close to zero, then the point lies on the line of best fit. If the residual value is positive, then the actual y-value is higher than the predicted y-value, and if the residual value is negative, then the actual y-value is lower than the predicted y-value.
Unfortunately, the data necessary to determine the residual value of the point (2,2) is not provided in the question. Therefore, it is impossible to determine the exact relation of this point to the line of best fit.
However, we can make some generalizations based on the location of the point relative to the trend of the data.
If the point (2,2) lies close to the line of best fit, with a residual value close to zero, then it can be said that the point follows the trend of the data and is a typical data point. However, if the point lies far away from the line of best fit, with a large positive or negative residual value, then it can be said that the point is an outlier and does not follow the trend of the data.
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Please help asap thank you!!!
Answer: (3,-5) minimum
Step-by-step explanation:
the vertex is at the bottom so it is a minimum
Please help with the question!!!!!
Start with the parent function \(y = |x|\) which is a V shape graph that has its vertex at (0,0) and it is the lowest point. Every point has a positive y coordinate other than the vertex of course.
Reflect over the y axis to get \(y = -|x|\), so now everything is negative or below the x axis, other than the vertex point.
Lastly, shift everything up 1 unit by adding 1 onto the right side getting \(y = -|x|+1\)
Answer:
y=absolute value brackets -x end absolute value brackets +1
Step-by-step explanation:
this is the equation that matches
helppp meee for brainnnlisttttt
Answer:
86m^2.........................
.
Answer:
86.13mm^2
Step-by-step explanation:
Since there is already an answer posted I just wanted to post an explanation on why the answer is 86 mm^2.
Area of the Rectangle=
12*6=72 mm^2
Area of semi circle=
(3.14*3^2)/2=14.13 mm^2
if you add those two up, you will get an area of 86.13 mm^2 or rounded down to 86 mm^2.
A bag contains 2 gold marbles, 9 silver marbles, and 24 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if you play this game
The expected value on playing this game is -5/36.
Given: 2 gold marbles, 9 silver marbles, and 24 black marbles.If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.
To find: Expected value on playing the game
Chance of occurrence of gold = 1/36
Chance of occurrence of silver = 9/36
Chance of occurrence of black = 26/36
On multiplying the given probability of occurence with the amount you would lose or win
we get,
1/36 * 3 + 9/36 * 2 - 26/36 * 1
3/36 + 18/36 - 26/36
=$ -5/36
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A rectangle is measured by 2 1/3 inches and 2 1/3 inches what is the area
Answer:
5.44444442889 or 5 \(\frac{4}{9}\)
Step-by-step explanation:
Just multiply the 2 numbers together
Answer:
\(2\frac{1}{3}^{2}\) or 49/9 inches squared
Step-by-step explanation:
you have a square if those lengths are correct, and the formula for the area of a square is Bh=A B=base length (side on bottom), h=height (vertical side), and A=area, so 2 1/3 * 2 1/3 or 2 1/3^2
if that doesnt make sense, message me and i will try to help you more
the probability associated with obtaining a particular value of z is referred to as its
The probability associated with obtaining a particular value of z is referred to as its statistical probability or simply its probability. It represents the likelihood of observing a specific value of z in a given statistical distribution.
The probability of a specific value of z can be calculated using various statistical methods, depending on the distribution being considered. In statistics, z represents a standard score or a z-score. It is a measure of how many standard deviations a particular value is away from the mean of a distribution. The probability associated with a specific value of z is determined by the characteristics of the distribution, such as its shape, mean, and standard deviation. Different distributions, such as the normal distribution or the t-distribution, have different methods for calculating probabilities associated with specific values of z.
The probability associated with a particular value of z can be useful in hypothesis testing, confidence interval estimation, or determining the likelihood of an event occurring. By understanding the probability distribution of z-values, statisticians can make informed decisions and draw conclusions based on data analysis.
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Find the measure of angle x in the figure.
Note: Angles not drawn to scale.
Angle x measures=
Answer:
x = 125°
Step-by-step explanation:
There are 7 angles in this shape. The sum of the angles in a shape like this is calculated using a formula.
Total of angles
= (n - 2)•180°
Put in 7, because there are 7 angles.
= (7 - 2)•180°
= 5•180°
= 900°
So the total of the angles should be 900°. We know all of the angles except one.
900° = 123°+129°+128°+128°+132°+135°+ x
900° = 775° + x
Subtract 775.
125° = x
The missing angle is 125°.
two particles, each of mass 3.20 ✕ 10−4 kg and speed 5.59 m/s, travel in opposite directions along parallel lines separated by a distance 4.50 cm.
To calculate the total distance traveled by the two particles, we need to consider that they are traveling in opposite directions along parallel lines and separated by a distance of 4.50 cm.
The relative velocity is the sum of their individual velocities:
v_relative = v1 + v2 = 5.59 m/s + (-5.59 m/s) = 0 m/s
Since the relative velocity is zero, the particles will meet at some point in time.
We can use the formula:
distance = speed × time
Since the relative velocity is zero, the particles will meet after traveling for a certain time. Let's denote this time as t.
For each particle:
distance = speed × time
distance = (5.59 m/s) × t
distance = 5.59t
The particles will meet when the total distance traveled by both particles adds up to the separation distance of 4.50 cm (converted to meters):
total distance = 5.59t + 5.59t = 11.18t
Given that the separation distance is 4.50 cm = 0.045 m, we can set up an equation:
11.18t = 0.045
Solving for t:
t = 0.045 / 11.18
t ≈ 0.004032 seconds
Now, we can calculate the total distance traveled by the particles:
total distance = 11.18t
total distance = 11.18 × 0.004032
total distance ≈ 0.045 meters
Therefore, the two particles will meet after traveling approximately 0.045 meters in opposite directions along the parallel lines.
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Eight people were asked what the balance of their checking account at the beginning of this past week was and how much it increased or decreased by the end of the week.
Create a scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the checking account in hundreds of dollars.
Name
Beginning balance
(in thousands of dollars)
Change in checking account
(in hundreds of dollars)
Billy 6 6
Barbara 4 5
Eli 3 2
Ken 1 5
Lara 8 4
Lindsey 3 8
Marie 4 2
Eduardo 5 3
Answer:
:D
Step-by-step explanation:
:DDDD
Evaluate 4 times a number q plus 25 when q=2
Hi, there!
_______
4 times a number "q" = 4q
"Plus 25" +25
Putting these two parts together
\(\sf{4q+25}\)
Now, we can't evaluate this expression (like we're asked) unless we know what q is. And it happened that we are given what q is, it's 2. So, we can substitute its value into the expression:
\(\sf{4(2)+25}\)
\(\sf{8+25}\)
\(\sf{33}\)
Hope the answer - and explanation - made sense.
happy studying!!
Given a function f (x) = 3x2 + 4, what is the average rate of change of f on the interval [2, 2 + h]?3h + 123h2 + 12h3h2 + 12h + 1616
We are given the following function:
\(f(x)=3x^2+4\)We are asked to determine the average rate of change on the interval [2, 2 + h]. To do that we will use the following formula:
\(r=\frac{f(b)-f(a)}{b-a}\)in the interval:
\(\lbrack a,b\rbrack\)Therefore, we need to evaluate the function at the points x = 2 and x = 2 + h. Evaluating in x = 2 we get:
\(f(2)=3(2)^2+4=16\)Now we evaluate at x = 2 + h:
\(f(2+h)=3(2+h)^2+4\)Now we solve the square:
\(f(2+h)=3(4+4h+h^2)+4\)Now we apply the distributive property:
\(f(2+h)=12+12h+3h^2+4=12h+3h^2+16\)Now we use the average rate of change formula:
\(r=\frac{f(2+h)-f(2)}{(2+h)-(2)}\)Substituting the values:
\(r=\frac{12h+3h^2+16-16}{h}\)Simplifying:
\(r=\frac{12h+3h^2}{h}\)Now we take common factor on the numerator:
\(r=\frac{h(12+3h)}{h}\)We can cancel out the "h":
\(r=12+3h\)Therefore, the average rate of change is 12 + 3h.
Question
1. Put the following equation in Standard Form:
y=-1/3x + 4
tan (tt/2) =. i neeed help baddddd
Answer:
D: Undefined
Step-by-step explanation:
You can use the unit circle or your calc for this (don't forget to put it in radians!). I will use the unit circle to explain.
Tangent on the unit circle is on the xy lines themselves. tan (π/2) would be on the positive y axis. Remember that tan∅ is sin∅/cos∅ and that the unit circle's radius is always one. If that is the case, the coordinate for tan (π/2) would be (0, 1). If cos is always x and sin is always y, you plug it in for tan∅. The fraction 1/0 is undefined, since you can't divide anything by 0. Therefore, tan (π/2) is undefined.