The expression 62.4d-21062.4d−21062, point, 4, d, minus, 210 gives the number of Indian rupees you receive when you exchange \$d$ddollar sign, d at the local currency exchange
Answer:601.2
Step-by-step explanation:
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The locust population increases by a factor of 555 every 222222 days, and can be modeled by a function, LLL, which depends on the amount of time, ttt (in days). Before the first day of spring, there were 760076007600 locusts in the population. Write a function that models the locust population ttt days since the first day of spring.
Answer: L(t)= 7600 times 5^t/22
Step-by-step explanation:
kahn answer
To model the locust population, we can use an exponential growth function. The initial population is given as 7600, and it increases by a factor of 555 every 222222 days. The function is L(t) = 7600 * 555^(t/222222).
Explanation:To model the locust population, we can use an exponential growth function. The initial population is given as 7600. The population increases by a factor of 555 every 222222 days. Let's denote the time since the first day of spring as t. The function can be written as:
L(t) = 7600 * 555^(t/222222)
For example, if we want to find the locust population after 1 year (365 days), we can substitute t = 365 into the function:
L(365) = 7600 * 555^(365/222222)
By evaluating this expression, we can determine the locust population at any given time since the first day of spring.
The results of a color spinner experiment are shown in the table. Consider the experimental probability of the spinner landing
on green. If the experiment is repeated with 50 spins, what is the prediction for the number of spins that will land on green?
Frequency
Result
Blue
Red
Green
Yellow
colos
Save and Exit
Next
Submit
Mark this and return
If the experiment is repeated with 50 spins, the prediction for the number of spins that will land on green is 5
From the question, we have the following parameters that can be used in our computation:
The table of values
Calculate the total number of spins
So, we have
Total spins = 5 + 3 + 1 + 1
Total spins = 10
We have that
The frequency of landing on green is 1
The experimental probability of landing on green is then represented as
[tex]\[ \text{Probability of green} = \frac{1}{10} \][/tex]
Using the experimental probability to predict the number of spins that will land on green in 50 spins, we have
Predicted number of green spins = [tex]\frac{1}{10} \times 50 = 5[/tex]
So, if the experiment is repeated with 50 spins, the prediction for the number of spins that will land on green is 5
Question
The results of a color spinner experiment are shown in the table. Consider the experimental probability of the spinner landing
on green. If the experiment is repeated with 50 spins, what is the prediction for the number of spins that will land on green?
Result Frequency
Blue 5
Red 3
Green 1
Yellow 1
A drawer contains 5 black socks(B), 7 grey socks(G) and 13 white socks(W). Matthew selects two socks from the drawer at random. What is the probability that they are the same color? Give your answer as a decimal correct to three significant figures.
Answer:
0.363
Step-by-step explanation:
Number of Black(B) Socks =5
Number of Grey(G) Socks =7
Number of White(W) Socks =13
Total Number of Socks=5+7+13=25
If the two socks are picked one after the other, the total number reduces and the number of that particular color of socks picked also reduces.
To pick the same color, they could either be both black, grey of white.
Therefore:
P(they are of the same color)=P(BB)+P(GG)+P(WW)
[tex]=(\frac{5}{25}X\frac{4}{24})+(\frac{7}{25}X\frac{6}{24})+(\frac{13}{25}X\frac{12}{24})\\=0.363[/tex]
The probability that they are of the same color is 0.363 correct to 3 significant figures.
If you meet a person online there is a 50% chance that they aren't who they say they are. There is a 75% chance that part of what they tell you is the truth. What are the chances that they are who thy say they are.
can someone help me with this geometry plz??? will mark brainliest and 20 points!!
Answer:
A unique
Step-by-step explanation:
2 triangles are similar if they have the same angle measures, by the law of triangle similarity.
That means that given 2 angles measures, we can find our third angle measure and create infinitely many triangles with those 3 angles. however we have a given side length. changing the length of this will not satisfy the given conditions
Matrix question is so confusing
(These values are the same as in the given matrix)
The bottom row's answer boxes are: 0, 1, -9/13=======================================================
Explanation:
Row echelon form will have us turn the "3" into a 0. To do this, we multiply everything in row 1 by the value -3
Row 1 is initially: 1, -4, 3
Multiply that row by -3 to get: -3, 12, -9
Then add these values to the values in row 2 and we get:
-3+3 = 0
12+1 = 13
-9+0 = -9
These three sums replace what you see in row 2
This is the new matrix we have now
[tex]\left[\begin{array}{ccc}1 & -4 & 3\\0 & 13 & -9\end{array}\right][/tex]
Again the first row has not changed. Only the second row has been altered.
The next and last step is to turn that 13 into a 1. Recall we want the pivot positions to be 1. Divide everything in row 2 by 13 to get this accomplished.
0---> 0/13 = 0
13 ----> 13/13 = 1
-9 ---> -9/13
we now have
[tex]\left[\begin{array}{ccc}1 & -4 & 3\\0 & 1 & \frac{-9}{13}\end{array}\right][/tex]
We stop here since we don't need to get the matrix into reduced row echelon form (RREF) and instead only need to get it into row echelon form (REF). Throughout this whole process, row 1 has not changed.
You donate 8 baseballs to a local baseball team. Your uncle donates 12 baseballs. If a total of 50 baseballs are donated, what is the probability that the first pitch of the season uses one of your baseballs or one of your uncle’s baseballs?
The required probability that the first pitch of the season uses one of your baseballs or one of your uncle's baseballs is 2/5.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
There are 20 baseballs donated between you and your uncle and a total of 50 baseballs, so the probability that the first pitch of the season uses one of your baseballs or one of your uncle's baseballs is:
P(your baseball or uncle's baseball) = (number of your baseballs + number of uncle's baseballs) / total number of baseballs
= (8 + 12) / 50
= 20/50
= 2/5
Therefore, the probability that the first pitch of the season uses one of your baseballs or one of your uncle's baseballs is 2/5.
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The probability that the first pitch of the season uses one of the baseballs donated by the student or their uncle is 2/5 or 40%.
To calculate the probability that the first pitch of the season uses one of your baseballs or one of your uncle's, we first need to figure out the total number of baseballs donated by you and your uncle. You donated 8 baseballs and your uncle donated 12 baseballs. Hence, together you both donated 8 + 12 = 20 baseballs.
Since there are a total of 50 baseballs donated, we can now calculate the probability. The probability of picking either one of your baseballs or one of uncle's baseballs is the total number of your combined baseballs divided by the overall total number of baseballs, which is 20/50. This can be simplified to 2/5 or 40%.
Therefore, the probability that the first pitch of the season uses one of the baseballs donated by you or your uncle is 2/5.
The data plot represents the hours student each week in two different classrooms
Answer:
Could you put a link or image or pic
Step-by-step explanation:
We can not see
Answer:
the mean number of hours a student in Mr. Hart’s class studies is hours 4.6
The mean number of hours a student in Ms. Perry’s class studies is 2.8 hrs
A typical student in Mr. Hart’s class studies a typical student in Ms. Perry’s class.more than
Step-by-step explanation:
just took the test
geometry please help
Answer:
b. 46°
Step-by-step explanation:
In a circle, measure of minor arc is equal to the measure of its corresponding central angle.
[tex] \therefore m\overset{\frown} {BD} = m\angle BAD = 148°\\
\because m\overset{\frown} {BD}= m\overset{\frown} {BC}+ m\overset{\frown} {CD}\\
\therefore 148° = 102° + m\overset{\frown} {CD}\\
\therefore m\overset{\frown} {CD}= 148° - 102°\\
\huge\purple {\boxed {\therefore m\overset{\frown} {CD}= 46°}} \\ [/tex]
Jenny invests $1,599 in a retirement account with a fixed annual interest rate of 9% compounded continuously. How long will it take for the account balance to
reach $3.002.30?
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А буеаrѕ
0
B. 7 years
0
c. 9 years
0
D. 8 years
Answer:
Step-by-step explanation:
ASAP show work please
Answer:
20 degrees
Step-by-step explanation:
Because lines CB and DA cross in the center of the circle, they are vertical angles and they are equidistant from arcs AB and CD. This means that CD and AB are congruent, and that therefore CD=AB=20 degrees. Hope this helps!
Gabriella and her children went into a grocery store and where they sell apples for $1 each and mangos for $0.50 each. Gabriella has $15 to spend and must buy at least 19 apples and mangos altogether. If Gabriella decided to buy 13 mangos, determine the maximum number of apples that she could buy.
Answer:
Step-by-step explanation:
Let x represent the number of apples that she wants to buy.
The grocery store sells apples for $1 each and mangos for $0.50 each.
If Gabriella decided to buy 13 mangos, it means that the cost of buying x apples and 13 mangoes is expressed as
x + 13 × 0.5 = x + 6.5
If she buy at least 19 apples, it means that
x + 13 ≥ 19
x ≥ 19 - 13
x ≥ 6
Gabriella has $15 to spend. It means that
x + 6.5 ≤ 15
x ≤ 15 - 6.5
x ≤ 8.5
Therefore, the maximum number of apples that she can buy is 8
Final answer:
After purchasing 13 mangos, Gabriella can spend the remaining $8.50 on apples, which allows her to buy a maximum of 8 apples while also meeting the minimum requirement of 19 fruits in total.
Explanation:
If Gabriella decided to buy 13 mangos at $0.50 each, she would spend $6.50 on mangos. She has $15 to spend, so after buying the mangos, she would have $15 - $6.50 = $8.50 left. Since apples cost $1 each, Gabriella could buy a maximum of $8.50/ $1 per apple = 8 apples. However, she must buy at least 19 apples and mangos altogether. Since she has already bought 13 mangos, she would need to buy 19 - 13 = 6 apples to meet the minimum requirement. Therefore, the maximum number of apples she can buy is 8, which also satisfies the minimum quantity of fruit required.
what is the answer for x+5=15
Answer:
x=10
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
x+5=15
-5=-5
---------------
x= 10
Write the number 54300 in standard form
Answer:
5.4300 x 10 with a small 4
Step-by-step explanation:
Answer:
5.43*10^4
Step-by-step explanation:
The recipe has 10 tomatoes, 6 cucumbers, and 3 peppers. What is the ratio of tomatoes to peppers?
Group of answer choices
10/3
6/3
3/6
3/10
Answer:
10/3
Step-by-step explanation:
Answer:
no of tomatoes: no of pepper
10:3
A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible. a. What is the largest number of groups that could be formed? groups b. If that many groups are formed, how many students of each grade level would be in each group? sixth-grade students and seventh-grade students
Answer:
a) 15 is the largest number of groups that can be made.
b) There would 6 sixth grade students and 5 seventh grade students in each group.
Step-by-step explanation:
Number of sixth-grade students = 90
Number of seventh-grade students = 75
a) What is the largest number of groups that could be formed?
Since the music director wants to make groups with the same combination of sixth and seventh grade students in each group,
The greatest common factor (GCF) of the number of sixth and seventh grade students would give us the required combination.
Factor of 90 = 2*45 = 2*3*15 = 2*3*3*5
Factor of 75 = 3*25 = 3*5*5
The greatest common factors are 3 and 5
GCF = 3*5 = 15
Therefore, 15 is the largest number of groups that can be made.
b. If that many groups are formed, how many students of each grade level would be in each group?
Sixth grade = 90/15 = 6
Seventh grade = 75/15 = 5
Therefore, there would 6 sixth grade students and 5 seventh grade students in each group.
1. 15 groups. The greatest common factor of 75 and 90 is 15. 2. 6 sixth-grade students and 5 seventh-grade students
2. 6 sixth-grade students and 5 seventh-grade students ( 6 ⋅ 15 = 90 and
5 ⋅ 15 = 75 )
Jiffy Mix in Chelsea, Michigan has a machine that fills the Jiffy Corn Muffin Mix boxes with Mix. It dispenses corn muffin mix with a normal distribution and has a mean of 10.0 and a standard deviation of 0.1 ounces
Question:
A. The middle 95% of Jiffy Corn Muffin Mix boxes contain between _____ and ________ounces of cereal
Answer:
Therefore the middle 95% of Jiffy Corn Muffin Mix boxes contain between _9.994____ and _10.0062_______ounces of cereal
Step-by-step explanation:
The question requires us to construct the 95% confidence interval of the normal distribution as follows;
The mean, μ = 10
The sample standard deviation, σ = 0.1
Assumption
Number of boxes, n = 1000
The formula for confidence interval is as follows;
[tex]CI= \mu \pm z\frac{\sigma}{\sqrt{n}}[/tex]
Where, z at 95% confidence level is given as ±1.96
Plugging in the values, we have;
[tex]CI=10 \pm 1.96 \times \frac{0.1}{\sqrt{1000}}[/tex]
Therefore the middle 95% of Jiffy Corn Muffin Mix boxes contain between _9.994____ and _10.0062_______ounces of cereal.
Un automóvil sale de una estación y recorre en linea recta 400 metros a la derecha , luego se devuelve 500 metros se detiene y vuelve a correr 100 metros a la derecha . De acuerdo con este recorrido el automóvil esta : A. 200 metros ala izquierda de la estación B. 100 metros a la derecha de la estación C. 50 metros a la derecha de la estación D. En la estación
Consider the graphs of f(x)= sin x and g(x) = cos x. Which of the following features are the same for both graphs? Select all that apply.
Answer:
Step-by-step explanation:
All but the x- and y-intercepts are the same.
We can conclude the following similarities between the sin(x) and cos(x) -
Their amplitudes are same i.e. 1They have same domain.They have same range.They have same period of 2π.What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given are the graphs of the function -
f(x) = sin(x)
g(x) = cos(x)
For the functions sin(x) and cos(x) -
Their amplitudes is same i.e. 1They have same domain.They have same range.They have same period of 2π.Therefore, we can conclude the following similarities between the sin(x) and cos(x) -
Their amplitudes are same i.e. 1They have same domain.They have same range.They have same period of 2π.To solve more questions on functions, visit the link below-
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What are the zeros of this function?
Answer:
Answer:
X=3 and X=6
Step-by-step explanation:
When y is zero
Step-by-step explanation:
Answer:
Its b
Step-by-step explanation:
Between x=2 and x=3 which function has a greater average rate of change than y=1/3^-x
A)y=2^x
B)y=5^x-2
C)y=1/4^-x
D)y=2/3^-x
Answer:
C) y = (1/4)^(-x)
Step-by-step explanation:
The average rate of change on an interval [a, b] is found using the formula ...
arc = (f(b) -f(a))/(b -a)
For an exponential function with base b on interval [2, 3], the rate of change is ...
arc = (b^3 -b^2)/(3 -2) = b^2(b -1)
This expression assumes a positive sign on the exponent.
We can compute the arc for each answer choice as ...
(reference) 1/3^-x = 3^x ⇒ arc = 3²(3 -1) = 18
A) 2^x ⇒ arc = 2²(2 -1) = 4
B) 5^(x-2) = (1/25)5^x ⇒ arc = (1/25)(5²)(5 -1) = 4
C) 1/4^-x = 4^x ⇒ arc = 4²(4 -1) = 48
D) (2/3)^-x = (3/2)^x ⇒ arc = (3/2)²(3/2 -1) = 9/8
An average rate of change greater than 18 is demonstrated by (1/4)^-x.
Find the point, M, that divides segment AB into a ratio of 2:1 if A is at (-1, 2) and B is at (8, 15). A) (6, 8) B) (6, 26 3 ) C) (5, 32 3 ) D) (5, 26 3 ) 27)
Answer:
Hence, the coordinate of point M that divides the line segment AB is [tex](5, \frac{32}{3} )[/tex].
Step-by-step explanation:
Given that,
AB is the line segment, and M divides the line segment AB into a ratio of 2:1.
Coordinate of point A is [tex](-1, 2)[/tex] and Coordinate of point B is [tex](8, 15)[/tex].
Let, the coordinate of point M is [tex](x. y)[/tex].
Now,
The coordinate of a point M, which divides the line segment AB internally in the ratio [tex]m_{1}:m_{2}[/tex] are given by:
[tex]\frac{m_{1}x_{2}+m_{2}x_{1} }{(m_{1}+m_{2}) } ,\frac{m_{1}y_{2}+m_{2}y_{1} }{(m_{1}+m_{2}) }[/tex]
[tex]x[/tex] coordinate of point M is [tex]\frac{(2\times 8)+(1\times -1)}{(2+1)}[/tex] = [tex]\frac{(16-1)}{3} =\frac{15}{3} =5[/tex]
[tex]y[/tex] coordinate of point M is [tex]\frac{(2\times 15)+(1\times 2)}{(2+1)}[/tex] = [tex]\frac{30+2}{3} = \frac{32}{3}[/tex]
Hence, the coordinate of point M that divides the line segment AB is [tex](5, \frac{32}{3} )[/tex].
solve the system of equations
-5x+2y=9
y=7x
Answer:
x=1, y=7
Step-by-step explanation:
-5x+2y=9
y=7x
Since you know what y is relative to x, you can plug it into the formula to find your answer.
-5x+2(7x)=9
14x-5x=9
x=1
y=7
Hope this helps!
Factor x2 – 2x – 80.
A. (x – 3)(x + 10)
B. (x + 6)(x - 1)
C. (X + 8)(x - 10)
D. (+3)(x+6)
Answer:
(x-10) (x+8)
Step-by-step explanation:
x^2 – 2x – 80.
What two numbers multiply to -80 and add to -2
-10*8 = -80
-10+8 = -2
(x-10) (x+8)
=====================================================
Explanation:
The last term is -80 and the middle coefficient is -2
Find two numbers that
Multiply to -80, and,add to -2Those two numbers are 8 and -10
8 times -10 = -808 plus -10 = -2which is why the original expression factors to (x+8)(x-10)
We can use the FOIL rule to expand out (x+8)(x-10) to end up with x^2-10x+8x-80 = x^2-2x-80, which confirms we have the correct factorization. You can use the box method as an alternative.
A game increased in price by 1/2.. After the increase it was priced at £27. What was the original price of the game? I am very confused (hegarty maths)
The original price of the game was £18. This is derived by understanding a 1/2 increase equates to a 50% increase, thus making £27 150% of the original price. To get the original price, divide £27 by 1.5.
Explanation:To solve this problem, you need to understand that an increase of 1/2 equals a 50% increase. If the game price were £27 after increasing by 50%, that means £27 represents the original price plus an additional half (50%) of the original price, in other words, it represents 150% of the original price. We can set up the equation like this:
Original Price(1.5) = £27
To solve for the original price, we divide £27 by 1.5, resulting in £18.
So, the original price of the game was £18.
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One circle is 1962.5ft.It’s 32 circles. So how many ft is that ?
I’m not sure of what to do ,can u please help me ?
Please I’ve been stuck on this for hours.
Answer:
Out of 240,000 feet² of the field 62,800 feet² was being watered.
Step-by-step explanation:
We have a figure with 32 circles and diameter of each circle is 50 feet. We have to find how much area is being watered. Assuming that each circle represents the Area of the field which is being watered.
We can find the area of one circle and multiply that by 32 to find the area of all 32 circles. This will give us the area of the field that is being watered.
Since, radius is half of the diameter, the radius of each circle will be r = 25 feet.
Area of a circle is calculated as:
Area = πr²
Substituting the value of r = 25 and π = 3.14, we get:
Area of one circle = 3.14 x (25)² = 1962.5 feet²
Since area of 1 circle is 1962.5 feet² , area of 32 circles will be = 32 x 1962.5 = 62,800 feet²
The field is rectangular in shape with length = 600 feet and width = 400 feet.
Area of a rectangle is the product of its length and width. So area of the entire field will be:
Area of field = 600 x 400 = 240,000 feet²
This means, out of 240,000 feet² of the field 62,800 feet² was being watered.
A rectangle has a height of 333 and a width of 3x^2+4x3x 2 +4x3, x, squared, plus, 4, x. Express the area of the entire rectangle. Expression should be expanded.
Answer:
[tex]9x^2+12x[/tex]
Step-by-step explanation:
Height of the Rectangle =3
Width of the Rectangle =[tex]3x^2+4x[/tex]
Area of a Rectangle = Height X Width
[tex]=3(3x^2+4x)\\=9x^2+12x[/tex]
The area of the rectangle is therefore given by:
[tex]9x^2+12x[/tex]
To find the area of the rectangle, multiply its height by its width. In this case, expand the expression for the width by distributing the terms. Simplify and combine like terms to get the expanded expression for the area: 999x^4 + 36x^3 + 16x.
Explanation:To find the area of a rectangle, we multiply its length (height) by its width. In this case, the height is given as 333 and the width is given as 3x^2 + 4x3x^2 + 4x3x, x^2 + 4, x. To expand this expression and find the area, we can distribute the numbers/variables inside the parentheses.
We have (3x^2 + 4x3x^2 + 4x3x) * (x^2 + 4x). Distributing the terms inside, we get 3x^2 * x^2 + 3x^2 * 4x + 4x3x^2 * x^2 + 4x3x^2 * 4x + 4x3x * x^2 + 4x3x * 4x. Simplifying further, we have 3x^4 + 12x^3 + 4x^4 + 16x^3 + 4x^3 + 16x.
The area of the rectangle is the product of the height and width, so the expanded expression for the area is (333) * (3x^4 + 12x^3 + 4x^4 + 16x^3 + 4x^3 + 16x). Combining like terms, we have 999x^4 + 36x^3 + 16x. This is the expanded expression for the area of the rectangle.
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The mean age of five children is 8 years
4 months. When Amina joins the children,
their mean age becomes 8 years 5 months.
How old is Amina?
Answer:
9
Step-by-step explanation:
Answer:
its 8
Step-by-step explanation:
Simplify the following expression.
7(2y + 5z) - 35z
A.
9y
B.
14y - 40z
C.
9y - 70z
D.
14y
Answer: 14y
Step-by-step explanation:
7 times 2 = 14
7 times 5 = 35
14y + 35z - 35z
35 - 35 = 0
You are left with 14y