Answer:
A
Step-by-step explanation:
Explain how adding and subtracting decimals is similar to adding and subtracting whole
numbers. Explain how they are different.
Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit
How to illustrate tye decimal?One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.
Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.
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Look at this table, X W 11 1 10 3 13 -17 17 Is this relation a function? yes or no
A retired goverment officer will get a 10% increase in his monthly pension from july 2009 he spend 50% of his pension on food items
He spends 50% of his pension on food items, he will be spending 770 on food items during the next month.
What is percentage?
Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".
If the retired government officer will receive a 10% increase in his monthly pension from July 2009, then his new monthly pension amount will be 110% of his current monthly pension. In other words, his new pension amount will be 1.1 times his current pension amount.
Let's call the retired government officer's current monthly pension amount "P". Then, his new monthly pension amount will be:
1.1P
We know that the retired government officer spends 50% of his pension on food items, or 0.5P. If he currently spends 700 on food items, we can set up the following equation:
0.5P = 700
Solving for P, we get:
P = 1400
Now, we can plug this value into the equation for the retired government officer's new monthly pension amount:
1.1P = 1.1(1400) = 1540
Therefore, the retired government officer will be receiving a new monthly pension amount of 1540. Since he spends 50% of his pension on food items, he will be spending:
0.5(1540) = 770
on food items during the next month.
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The complete question is:
A retired goverment officer will get a 10% increase in his monthly pension from july 2009 he spend 50% of his pension on food items. How much money will he be spending on food items during next month if he currently spends 700 on these food items?
The Hu family goes out for lunch, and the price of the meal is $44. The sales tax on the meal is 6%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?
The total cost of the meal is $
Answer:
Step-by-step explanation:
1
find the amount of tax
2
find the amount of the tip
3
find the total cost by adding the cost of the meal, the tax, and the tip
RESULT
56.70
Simplify remove all perfect squares from inside the square root assume b is positive
Answer:
Step-by-step explanation:
You take items out of a square root if you have a pair of numbers or if you know the square root.
\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)
So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3
Now for the b's for every pair there are, you can take that out. There are 3 pairs of b's so b³ is outside and one b is left inside.
Answer:
4b³\(\sqrt{3b}\)
A line passes through the point (8, -1) and has a slope of -5/4
Answer:
y = -5/4x +27/4
Step-by-step explanation:
"A line passes through the point (8, -1) and has a slope of -5/4 "
I'm guessing you want to formulate an equation.
To do that, we use the Slope-Intercept Form, y = mx + b, where m is the slope, and b is the y- intercept.
Since we know the slope, we can substitute -5/4 for slope.
y = -5/4x + b
To Find B, we will substitute the ordered pair (8,-1) as x and y.
8= -5/4(-1) + b
8 = 5/4 + b
Subtract 5/4 from both sides.
8-5/4 = 5/4-5/4 + b
27/4 = b
Substitute 27/4 as b in the equations.
y = -5/4x + 27/4
==================================================================
Hope I Helped, Have A Nice Day!
-Aadi x
Answer:
y = -5/4x + 27/4
Step-by-step explanation:
Because it is the "Correct Answer"
The Venn diagram below shows the events A and B, and the probabilities p, q and r.
It is known that P(A)=0.43 , P(B)=0.62 and P(A∩B)=0.27 .
Calculate the value of p
Calculate the value of q
Calculate the value of r
Find the value of P (A given NOT B)
The value of q is 0.35.
The value of p is 0.16.
The value of r is 0.27.
The value of P(A given NOT B) is approximately 0.4211.
To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.
Given:
P(A) = 0.43
P(B) = 0.62
P(A∩B) = 0.27
Calculating the value of p:
The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.
We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:
p = P(A) - P(A∩B)
= 0.43 - 0.27
= 0.16
Therefore, the value of p is 0.16.
Calculating the value of q:
The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.
We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:
q = P(B) - P(A∩B)
= 0.62 - 0.27
= 0.35
Therefore, the value of q is 0.35.
Calculating the value of r:
The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.
We are given that P(A∩B) = 0.27, so the value of r is 0.27.
Therefore, the value of r is 0.27.
Finding the value of P(A given NOT B):
P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.
To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.
P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)
We can calculate the value of P(A given NOT B) using the provided probabilities:
P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))
= 0.43 - 0.27 / (1 - 0.62)
= 0.16 / 0.38
≈ 0.4211
Therefore, the value of P(A given NOT B) is approximately 0.4211.
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A satellite weighs 150 pounds on Earth. Using
the table above, how much more does this
satellite weigh on Saturn than on Mars?
Solve for x. Round to the nearest tenth, if necessary.
Answer:
10.7
Step-by-step explanation:
Since this is a right triangle, we can use trig functions to calculate the hypotenuse.
We know the opposite side from the angle labeled 59 degrees.
sin 59 = opp side / hypotenuse
sin 59 = 9.2/x
x = 9.2/ sin 59
x = 10.733
The average of a and b is 20. The average of a, b, c, and d is 25. What is the average of c and d?
Answer:
30
Step-by-step explanation:
The average of a and b is 20
total a and b = 20 * 2 = 40
The average of a, b, c, and d is 25
total a,b,c and d = 25 * 4 = 100
Total of c and d = 100 - 40 = 60
average of c and d = 60/2 = 30
The historical walking tour of a town covers a total distance of 5 miles. The map shows that the path of the tour travels 3 inches north, 4 inches east, 2 inches south, and 1 inch west. How many miles does each inch on the map represent?
0.2 miles
0.5 miles
2 miles
10 miles
Answer:
0.2 miles
Step-by-step explanation:
anwser it pls aaaaaaaassaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
Volume = Bh
Turn the shape so the trapezoid is on the bottom/base
h=18 for overall shape
B = area of base, trapezoid
B = 1/2 (b₁ + b₂) h
b₁ = 11
b₂ = 25
h = 24 for trapezoid
B = 1/2 (11 + 25)(24)
B = 432
V = Bh
V = (432)(18)
V= 7776 in³
need help with tshdjkdkdndndndndkd
The length of this line segment is: B. 2√13 units.
How to determine the distance between the coordinates for each points?In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represent the data points (coordinates) on a cartesian coordinate.
By substituting the given end points into the distance formula, we have the following;
Distance = √[(4 + 2)² + (1 + 3)²]
Distance = √[(6)² + (4)²]
Distance = √[36 + 16]
Distance = √52
Distance = 2√13 units.
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Find the distance between each pair of points. (-5, -3) and (-5, -6)
Answer:
• Formular for length:
\(length = \sqrt{ {(x _{1} - x _{2}) }^{2} + {(y_{1} - y_{2})}^{2} } \)
• from points given, x1 is -5, x2 is -5, y1 is -3 and y2 is -6:
• substitute:
\(length = \sqrt{ { \{ - 5 - ( - 5) \}}^{2} + { \{ - 3 - ( - 6) \}}^{2} } \\ \\ length = \sqrt{ {0}^{2} + {3}^{2} } \\ \\ length = \sqrt{ {3}^{2} } \\ \\ { \boxed{ \boxed{ \: \: length = 3 \: units \: \: }}}\)
What is the value of x to the nearest tenth?
Answer:
x=9.6
Step-by-step explanation:
The dot in the middle represents the center of the circle, so therefore, the line that is represented by 16 is the radius. Since that is the radius, the side that is the hypotenuse of the small triangle is also 16, since they have the same distance.
The line represented by 25.6 with x as its bisector shows that when we divide it by 2, the other side of the triangle besides the hypotenuse is 12.8.
Now that we have the two sides of the triangle, we can find the last side (represented by x). Use pythagorean theorem:
\(a^2 +b^2=c^2\\x^2+(12.8)^2=16^2\\x^2+163.84=256\\x^2=92.16\\x=9.6\)
After examining the reciprocal identity for sect, explain why the function is undefined at
certain points.
The function is undefined for those values of x where the denominator is zero.
What informs the function to be undefined?The reciprocal identity for sine, cosine, and tangent states that:
sin(x) = 1/csc(x)
cos(x) = 1/sec(x)
tan(x) = 1/cot(x)
It is important to note that csc, sec, and cot are only defined for values of x where the denominator is not equal to zero.
For example, csc(x) is defined as 1/sin(x), so it is undefined for x = kπ where k is any integer and sin(x) = 0.
Similarly, sec(x) is defined as 1/cos(x) and is undefined for x = (k+1/2)π where k is any integer and cos(x) = 0. Finally, cot(x) is defined as 1/tan(x) and is undefined for x = kπ where k is any integer and tan(x) = 0.
Therefore, the reciprocal identity for sine, cosine, and tangent is only defined for certain input values, and it is undefined for those values of x where the denominator is zero.
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Risk of diabetes
The American Diabetes Association reports the following information:
In general, if you are a man with type-1 diabetes, the odds of your child getting diabetes are 1 in 17. If
you are a woman with type-1 diabetes and your child was born before you were 25, your child's risk
is 1 in 25; if your child was born after you turned 25, your child's risk is 1 in 100.
For each of the following questions, be prepared to justify your response in class.
A 30-year-old women with type-1 diabetes has a child. The probability that the child will also have
diabetes is about 1%.
O True
O False
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The probability that the child will also have diabetes is about 1/2500 so the above-given statement is (B) FALSE.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. By simply dividing the favorable number of outcomes by the total number of possible outcomes, the probability of an event can be determined using the probability formula.So, if a 30-year-old woman with type-1 diabetes has a child, then the probability that the child will also have diabetes is about 1%:
If a child is born before a woman is 25 = 1/25If a child is born after a woman is 25 = 1/100Now,
1/25 × 1/100 = 1/2500Therefore, the probability that the child will also have diabetes is about 1/2500 so the above-given statement is (B) FALSE.
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The correct question is given below:
Risk of diabetes
The American Diabetes Association reports the following information:
In general, if you are a man with type-1 diabetes, the odds of your child getting diabetes are 1 in 17. If
you are a woman with type-1 diabetes and your child was born before you were 25, your child's risk
is 1 in 25; if your child was born after you turned 25, your child's risk is 1 in 100.
For each of the following questions, be prepared to justify your response in class.
A 30-year-old woman with type-1 diabetes has a child. The probability that the child will also have
diabetes is about 1%.
(A) True
(B) False
Calculator
Submit Question
Edwin sells jars of jam for $1.90 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $1.10 and fixed expenses are $35,700.00 per year.
Edwin needs to sell 44,625 jars of jam to break even.
To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:
Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)
Given information:
Selling Price per Unit (SP) = $1.90
Variable Cost per Unit (VC) = $1.10
Fixed Expenses = $35,700.00 per year
Plugging in the values into the formula:
Breakeven Point = $35,700 / ($1.90 - $1.10)
Breakeven Point = $35,700 / $0.80
Breakeven Point = 44,625 jars
Therefore, Edwin needs to sell 44,625 jars of jam to break even.
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what is the answer for 6x + 3(x-2)
Answer:
9x - 6
Hope this helps! <3
(If you need a step by step lmk)
Answer:
6x+3(x-2)
6x+3x-6
9x-6
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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PLEASE HELP ME ! :3How do you write an equation in standard form?
For any linear equation, the general structure of the standard form is:
Ax+By=C
Where both x and y terms are on the left side of the equation and the constant is on the rigth side.
If you have a variable in slope-intercept form, to transform it to standard form you have to pass the x term to the rigth side, for example:
\(\begin{gathered} y=10x+30 \\ y-10x=30 \\ \text{order the terms} \\ -10x+y=30 \end{gathered}\)For the equation y=10x+30 the standard form is -10x+y=30
Graphing with end behavior
SOLUTION
End behaviour
This describe the behaviour of the graph of a function at the end of the x-axis.
The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as xxx approaches +∞, infinity) and to the left end of the x-axis (as x approaches -∞, negative infinity).
Find an
angle 0 coterminal to 701°, where 0°
Answer:
341°-19°Step-by-step explanation:
Subtracting 360°, you get ...
701° -360° = 341°
Subtracting 360° again, you get ...
341° -360° = -19°
Angles 341° and -19° are coterminal with 701°.
_____
Additional comment
You can find additional angles by adding or subtracting multiples of 360°. We presume you require an angle in a specific range. Hopefully this gives you enough information to help you find the angle you're looking for.
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
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find the value of x 115 [5x+30]
Answer:
i assume the question is 115-5x=10
Step-by-step explanation:
if yes then the answer will be
-5x=125
-5x/-5=125/-5
x=25
A basket ball player makes 12 out of 15 free throws. What is his shooting percentage?
Answer:
80%
Step-by-step explanation:
The computer club spent $27.75 on beverages for the end-of-year picnic. The total cost of the beverages was $0.75 per person. How many people attended the picnic
Suppose that for a randomly selected high school student who has taken a college entrance exam, the probability of scoring above 650 is 0.30. A random sample of n = 9 students was selected. The probability that at exactly ____ of the students scored over 650 points is found using:
Answer:
The formula to compute the probability that at exactly x of the students scored over 650 points is:
\(P(X=x)={9\choose x}\ (0.30)^{x}\ (1-0.30)^{9-x}\)
Step-by-step explanation:
Let the random variable X represent the number of students who scored above 650 in the college entrance exam.
The probability that a student scored above 650 in the college entrance exam is, p = 0.30.
A random sample of n = 9 students was selected.
The events of any student scoring above 650 in the college entrance exam is independent of the others.
The random variable X follows a Binomial distribution with parameters n = 9 and p = 0.30.
The probability mass function of X is:
\(P(X=x)={9\choose x}\ (0.30)^{x}\ (1-0.30)^{9-x};\ x=0,1,2,3...\)
Thus, the formula to compute the probability that at exactly x of the students scored over 650 points is:
\(P(X=x)={9\choose x}\ (0.30)^{x}\ (1-0.30)^{9-x}\)
Answer:
7
Step-by-step explanation:
Answer on learning curve
Carter shared his post with 10 friends, who each share with only 2 people each day. Carter shared his post with 10 friends, who each share with only 2 people each day.
write an exponential function to represent the spread of carters social media post.
The exponential function will be equal to y = 20ˣ.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Carter shared his post with 10 friends, who each share with only 2 people each day.
The exponential function will be written as,
y = abˣ
y = 10(2)ˣ
y = 20ˣ
Therefore, the exponential function will be equal to y = 20ˣ.
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Answer:
f(x) = 10(2)^x
Step-by-step explanation:
Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.
Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.
Given statement solution is :- It would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.
Given:
Every 2 centimeters on the floor plan represents 1 meter of the house.
Dining Room:
On the floor plan, the dining room is 8 cm by 10 cm.
Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.
The area of the dining room is 4 meters * 5 meters = 20 square meters.
Bedroom:
On the floor plan, the bedroom is 6 cm by 10 cm.
Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.
The area of the bedroom is 3 meters * 5 meters = 15 square meters.
Now, let's calculate the costs.
Cost of Tile:
The cost of installing tile is $34 per square meter.
The area of the dining room is 20 square meters.
Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.
Cost of Carpet:
The cost of installing carpet is $21 per square meter.
The area of the bedroom is 15 square meters.
Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.
Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
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