D. (1,0) and (0,3)
14. Mason has 2 quarters, and he needs 50 cents more to pay the turnpike toll. There are 5 dimes, 6 quarters, and 10 nickels in his glove compartment. If he reaches in and selects two coins at random without replacing the first one, find the probability of choosing two quarters. 99
we have in total of coins are
5+6+10=21
For the first coin, we have the probability of 6/21
Then we only left 5 quarters and 20 coins in total, the next probability will be 5/20
the total probability is
[tex]\frac{6}{21}\cdot\frac{5}{20}=\frac{30}{420}=\frac{1}{14}[/tex]the answer is 1/14
A coin is flipped 2,500 times. It lands on heads 1,223 times and tails 1,277 times. A die was rolled 60 times. It landed on one—11 times, two—9 times, four—12 times, five—12 times, and six—8 times. What is the empirical probability of flipping heads on the coin AND rolling a four on the die?
The empirical probability of flipping heads on the coin AND rolling a four on the die is 0.623.
What is probability?
When we do not really know how something will turn forth, we can talk about the probability of one outcome or the likelihood of several.
Given that,
the coin is flipped = 2,500 times.
heads =1,223 times and tails= 1,277 times.
and
A die was rolled = 60 times
one—11 times, two—9 times, four—12 times, five—12 times, and six—8 times.
The empirical probability of flipping heads on the coin AND rolling a four on the die = (1223/2500) + (8/60)
=0.623
The empirical probability of flipping heads on the coin AND rolling a four on the die is 0.623.
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thanks for the help!!!
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
cos x [tex]cos^{-1}[/tex] = 1
The value of [tex]cos(cos^{-1} \frac{5}{13} + cos^{-1}\frac{7}{25})[/tex] is 166/195.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]cos(cos^{-1} \frac{5}{13} + cos^{-1}\frac{7}{25})[/tex]
We will distribute cos with the expression.
[ cos x [tex]cos^{-1}[/tex] = 1 ]
So,
= cos x [tex]cos^{-1}[/tex] (5/13) + cos x [tex]cos^{-1}[/tex] (7/15)
= 5/13 + 7/15
= (75 + 91) / 195
= 166/195
Thus,
The value of [tex]cos(cos^{-1} \frac{5}{13} + cos^{-1}\frac{7}{25})[/tex] is 166/195.
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The points (-3,-6) and (9,4) are the endpoints of the diameter of a circle. Find the center, the length of the radius, and the equation of the circle. Keep values in exact form, no decimals.
Centre of the circle = (3, -1)
Length of the radius = 8
Equation of the circle = [tex](x-3)^{2} +(y+1)^{2} =61[/tex]
What is the centre of the circle?
Centre = Midpoint
[tex]\text{Midpoint}=(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2} )\\\\=(\frac{-3+9}{2} ,\frac{-6+4}{2} )\\\\=(\frac{6}{2} ,\frac{-2}{2} )\\\\=(3,-1)[/tex]
Centre of the circle = (h, k) =(3, -1)
What is the length of the radius?
Length of the radius = [tex]\frac{\text{Length of the diameter}}{2}[/tex]
[tex]\text{Length of the diameter =}\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}\\\\=\sqrt{(9+3)^{2}+(4+6)^{2} } \\\\=\sqrt{(12)^{2}+(10)^{2} } \\\\=\sqrt{144+100 } \\\\=\sqrt{244} \\\\=15.62[/tex]
Length of the radius of the circle= [tex]\frac{15.62}{2} =7.81[/tex]
So, the length of the radius =7.81
= 8 (without decimal)
What is the equation of the circle?
A circle equation is given by,
[tex]{(x-h)^{2} +(y-k)^{2} } =r^{2} \\\\(x-3)^{2} +(y+1)^{2} =60.9\\\\(x-3)^{2} +(y+1)^{2} =61(\text{without decimal})[/tex]
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=
Find the interest on the following loan. Assume 365 days in a year.
$35,500 at 10.25% for 151 days
The interest that would be paid on the loan is $1,505.35.
What is the interest?
Interest is the amount that a debtor has to pay the creditor for use of her funds. The interest that is paid on a loan depends on the interest rate, duration of the loan and the amount borrowed.
Th amount of interest can be determined using the simple interest formula.
Interest = loan amount x interest rate x duration of the loan
Interest = $35,500 x 10.25% x (151 / 365)
Interest = $35,500 x 0.1025 x 0.41370
Interest = $1,505.35
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Michael launched a new website to share news and photos of his town. The equation below estimates the number of followers, y, in x weeks after his launch. y = 82(1.045)^x Complete each of the 2 activities for this Task. Activity 1 of 2 What is the rate of growth for the number of followers each week? A 45% B. 1,045% C. 4.5% D. 82% Activity 2 of 2 How many followers should Michael expect in the 4th week? Round to the nearest whole number. Show your work please!
Consider the given expression,
[tex]y=82(1.045)^x[/tex]The first derivative gives the rate of growth for the number of followers.
Solve for the first derivative as,
[tex]\begin{gathered} \frac{dy}{dx}=82\times\frac{d \square}{dx}(1.045)^x \\ \frac{dy}{dx}=82\times(1.045)^x\ln (1.045) \\ \frac{dy}{dx}=y\times0.045 \\ \frac{dy}{dx}=4.5\text{ percent of y} \end{gathered}[/tex]Thus, the rate of growth of followers is approximately 4.5% each week.
Therefore, option C is the correct choice.
The number of followers corresponding to the 4th week is calculated as,
[tex]y=82\times(1.045)^4=82\times1.1925=97.7865\approx98[/tex]Thus, Michael should expect approximately 98 followers in 4th week.
Class Period Sequencing on a Coordinate Plano Instruction: Using the coordinate plane, graph the sequence of transformations, record the coordinates for each transformation, and write the general rule (algebraio expression). Please graph each image a different color on the coordinate plane
Note that:
The first quadrant of a graph belongs to the negative x - axis, and the positive y-axis
Since it is stated that the points of the preimage belong to the first quadrant, we can reasonably selects the values of Points A, B, C, and D that obey this instruction.
1) Coordinates of the preimage in the first quadrant
Let us selects arbitrary coordinates that belong to the first guadrant for the points:
A(-1, 2), that is, x = -1, y = 2
B(-1, 6), that is, x = -1, y = 6
C(-3, 2), that is, x = -3, y = 2
D(-3, 6), that is, x = -3, y = 6
2) Coordinates of the image after translating the object by 7 units left (i.e x -7) and 3 units up (i.e y + 3)
[tex]\begin{gathered} \text{Transformation rule:} \\ T_{}} \end{gathered}[/tex]The preimage is translated 7 units left and 3 units up. The coordinates of the points become:
A' (-1-7, 2+3)
A' (-8, 5)
B' (-1-7, 6 + 3)
B'(-8, 9)
C'(-3-7, 2+3)
C'(-10, 5)
D'(-3-7, 6+3)
D'(-10, 9)
Hello Blessing, can you see the solution here?
Are you still there?
On a 1200 foot stretch of highway through the mountains the road rises by a total of 40 feet find the slope of the road
Remember that
The formula to calculate the slope is
slope=rise/run
In this problem
rise=40 feet (vertical distance)
run=1,200 feet (horizontal distance)
so
slope=40/1,200
slope=4/120
simplify
slope=1/30Each day, Deshaun earns a fixed wage plus extra money for every hour of overtime he works. The graph shows his total pay (in dollars) versus the amount of overtime ( in hours) that he works.
Hello!
So, for question (a)
The point that represents Deshaun's salary without working overtime is that in which x=0, being x the overtime hours
In this case, when x=0, y=60, being y his total pay
Regarding question (b)
Notice that as the overtime hours increased so the total day does. Then, the function is increasing!
Moreover, this is a line, so we can look for its equation:
Notice that when he works 1 extra hour he receives 90 dollars as total pay, i.e., x=1 y=90
We already have 2 points! We can w
I’m not quite sure how to prove this geometric proof.
For the given question, we will prove ABCD is a parallelogram
The proof will be as follows:
Statements Reason
1. AB ≅ CD Given
2. AB // CD Given
3. CB ≅ AD Given
4. CB // AD Given
5. ABCD is a parallelogram Parallegram theorem
Students in 6 classes, displayed below, ate the same ratio of cheese pizza slices to pepperoni pizza slices. Complete the following table, which represents the number of slices of pizza students in each class ate.
Slices of Cheese Pizza 2 , 6, 8, 5 ½, 3 1/3, 3/5 Slices of Pepperoni Pizza 5, 15, 20, 13 ¾, 8 1/3, 1 ½ Total Slices of Pizza 7, 21, 28, 19 ¼, 11 2/3, 2 1/10
845,000 rounded to the nearest thousand
it is already rounded
what do you see around you that weighs about 1 kilogram (you may not answer, " 1 kilogram packet of sugar etc. "!)
It is described as being the mass of a certain platinum-iridium prototype that is held at the International Bureau of Weights and Measures. One liter of pure water's bulk (10-3 cubic meters) served as its original definition.
A mass of 1 kilogram weighs roughly 2.20 pounds at Earth's surface (lb).
The fundamental mass unit in the metric system is the kilogram (kg). Since it was initially designed to be exactly equal, a kilogram is very nearly equivalent to the mass of.
What is a kilogram, and what does it look like?
kilograms is definedThe fundamental metric mass unit, which is equivalent to 1,000 grams (2.2 pounds). 1. 1. The Systeme International d'Unités defines a kilogram as a unit of measurement .
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Translate the following statement into a mathematical equation:Three times a number, minus four, is five.4 - 3 w = 53 w - 4 = 53(4 - w) = 53( w - 4) = 5
ANSWER:
2nd option: 3 w - 4 = 5
STEP-BY-STEP EXPLANATION:
Let w be the number to create the equation, triple is multiplied by 3 w then subtract 4 is equal to 5, we have the following result:
[tex]3w-4=5[/tex]Therefore, the correct answer is the 2nd option: 3 w - 4 = 5
what is 3.141 3 2/3 π √3 3.111111111 listed from least to greatest
First, let's put the numbers that are not in the decimal form in this form:
[tex]undefined[/tex]Geometry help please
Question 13 to 15
(13) The angles are alternate interior angles .
(14) The angles are alternate exterior angles .
(15) The angles are vertically opposite angles.
What are the properties of parallel lines?In a plane, parallel lines are any lines that do not meet or intersect at any point. They are always parallel and equally spaced apart from one another. Lines that are parallel do not intersect. Infinity is where parallel lines meet, as well.
Additionally, pairs of angles, such as the ones below, are created when a transversal intersects two parallel lines.
Corresponding anglesAlternate interior anglesAlternate exterior anglesVertically opposite anglesLinear pairTwo lines are said to be intersecting if they cross at a single point in a plane. Perpendicular lines are those that cross one other at a 90-degree angle. In a plane, two lines are said to be parallel if they never cross at any point.
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graph this line using slope
Graph this line using slope
Slope = (y2-y1)/ (x2-x1)
y = m x +b
the slope is m
The y-intercept is (0, b)
_____________________
y = 2x +4 (yellow line)
The slope = 2 = 2/1 = (y2-y1)/ (x2-x1)
The y-intercept is (0, 4)
x= 0
y = 4
First draw the point (0, 4)
x= 0
y = 4
- Since the slope is 2 = variation in y / variation in x
From (0,4) the next point could be 1 more in x and 2 more in y (1, 6)
To continue
From (1,6) the next point could be 1 more in x and 2 more in y (2, 8)
From (2,8) the next point could be 1 more in x and 2 more in y (3, 10)
From (3,10) the next point could be 1 more in x and 2 more in y (4, 12)
___________________________________________
You only have the positive part so you won't need this
From (0,4) the next point could be 1 less in x and 2 less in y (-1, 2)
To continue
From (-1, 2) the next point could be 1 less in x and 2 less in y (-2, 0)
17 in which graph does the shaded region represent the solution to the inequalityU2 Linear inequalities in Two Variable
We have the following inequality
[tex]x-y\le1[/tex]and its graph is
Part C
Compare and contrast the relative frequency for the whole table in part B with the two-way frequency table given in the
activity introduction. What trends or generalizations can you identify from the data in the tables?
A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample
What is a frequency table?A frequency table shows the values of a set together with how frequently they occur. The frequency of a certain data value in your dataset is how frequently it appears. You can learn which data values are typical and uncommon by using these tables.This refers to the representation of the frequency of an event in the form of a table.Therefore, when a two-way frequency table is employed, it illustrates the potential relationship between several sets of data visually.Please be aware that the answer to your query was given as a general overview because you did not supply the frequency table that was required or the patterns and generalizations that needed to be found.To learn more about frequency table refer to:
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Hi I need help with this is it A. B. C. D. And the last multiple choice question says - The cost of 4 adult tickets equals the cost of 3 children’s tickets
Given that:
x = number of adult tickets.
y = number of children's tickets.
And the ordered par (4, 3).
Since an ordered pair is represented by (x, y):
x = 4 = number of adult tickets.
y = 3 = number of children's tickets.
Answer: A. Ms. Monti bought 4 adults tickets and 3 children's tickets.
Owners of a recreation area are filling a small pond with water. Let y represent the total amount of water in the pond (in liters). Let x represent the total numberof minutes that water has been added. Suppose that x and y are related by the equation y = 700 +31x.Answer the questions below.Note that a change can be an increase or a decrease.For an increase, use a positive number. For a decrease, use a negative number.What was the starting amount of water in the pond?___ litersWhat is the change per minute in the amount of water in the pond?___ liters
Solution
Step 1:
y = 700 + 3x
y represents the total amount of water in the pond (in liters)
x represents the total number of minutes that water has been added
Step 2:
What was the starting amount of water in the pond?
Starting amount of water is when x = 0 minute
[tex]\begin{gathered} y\text{ = 700 + 31x} \\ y\text{ = 700 + 31}\times\text{ 0} \\ \text{y = 700 liters} \end{gathered}[/tex]Step 3:
What is the change per minute in the amount of water in the pond?
Change per minute in the amount of water in the pond = 31
Final answer
What was the starting amount of water in the pond?
700 liters
What is the change per minute in the amount of water in the pond?
31 liters
What is the measure of m?5m15nmm = [ ?]Give your answer in simplest form.Enter
The labelled diagram of the triangle is shown below
From the diagram,
BC is common to triangles ABC and BCD.
AC is the hypotenuse of triangle ABC and BC is the hypotenuse of triangle BCD. CD and BC are corresponding legs of triangles ABC and BCD
Thus,
CD/BC = BC/AC
5/m = m/(15 + 5)
5/m = m/20
By crossmultiplying,
m * m = 5 * 20
m^2 = 100
m = square root of 100
m = 10
Which triangles are similar?17Triangle A12)151037g8Triangle BTriangle cA. Triangles A, B, and CB. Triangles A and CC. Triangles B and CD. Triangles A and B
The answer is C. triangles B and C are similar.
Similar triangles only differs between them by the size. All angles must be the same and all sides must be multiplied by the same factor of scale to transform from one triangle from another.
the only 2 triangles that share the same angle values are B and C. thus, the answer is option C
1 point1. Which is a true statement about two numerical sets of data that havenegative association? *
When we have two numerical sets of data, it's either we have a positive association, negative asscociation or no association.
When we have a negative association, one variable increases as the other variable decreases.
Take a scatter plot as an example. In a scatter plot, if the x variable is increasing as the y variable decreases, we can say that both variables have a negative association.
While if the x variable is increasing as the y variable is increasing, both variables have a positive association.
Therefore, when two numerical sets of data have negative association, the correct statement is:
As one variable increases, the other variable decreases.
ANSWER:
D. As one variable increases, the other variable decreases
You have $25 to purchase apps on your cell phone. Each app you want costs $3.99. Describe the number of apps you can purchase.
Answer:
6 apps
Step-by-step explanation:
Comment
The trick to this question is that you must stay under $25 dollars. Make a rough estimate to the answer. Suppose each a[[ costs 4 dollars.
Then the total number you can but is 25/4 = 6.25 spps. But you can't buy 1/4 of an app, so the answer must be 6.
To be just a bit formal
1 app costs 3.99 dollars
6 apps cost 3.99 * 6 = 23.94 dollars.
What happens if you try and buy the 7th app?
7 apps cost 3.99 * 7 = 27.93 which is over 25.
You cannot by 7 apps.
You can only buy 6 apps.
jean rents an electric sander for $2.50 per hour plus $6.00 for the sand paper. what is the cost of renting the sander for 10 hours ? use the function c = 2.5h + 6
Its a hard question i really don't know
make 8/3 a mixed number
Given data:
The given nnumber is 8/3.
The given number is lie between 2 and 3 , more close to 3.
Here, each division is one unit and the dot represent the number which is lies bewteen 2 and 3.
Martina deposited $4,000 into an account with 5.1% interest compounded semi-annually. assuming that no no withdrawals are made how much will she have in the account after 9 years?
Martina deposited $4,000 into an account with 5.1% interest compounded semi-annually. assuming that no no withdrawals are made how much will she have in the account after 9 years?
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
P=$4,000
r=5.1%=5.1/100=0.051
n=2
t=9 years
substitute in the formula
[tex]\begin{gathered} A=4,000(1+\frac{0.051}{2})^{2\cdot9} \\ A=\$6,293.64 \end{gathered}[/tex]the answer is $6,293.64Given the figure is a square, find x, y, and z.
Answer:
x=9
z=58 deg
y=37
Step-by-step explanation:
8x+50=12x+14
-8x from both sides
50=4x+14
-14 from both sides
36=4x
*1/4 to both sides
9=x
Because it is a square all the angles = 90
z+32=90
-32 from both sides
z=58
8*9+50=122
all sides are equal
y+85=122
-85 from both sides
y=37
Drag the tiles to complete the composition of the functions described
g(x) = x - 3
h(x) = 3x + 1
To find g(h(x)), you have to replace x = h(x) into g(x), as follows:
g(h(x)) = (3x + 1) - 3
g(h(x)) = 3x + (1 - 3)
g(h(x)) = 3x - 2
To find h(h(x)), you have to replace x = h(x) into h(x), as follows:
h(h(x)) = 3(3x + 1) + 1
h(h(x)) = 3(3x) + 3(1) + 1
h(h(x)) = 9x + 3 + 1
h(h(x)) = 9x + 4
