Estimate the following quantities without using a calculator. Then find a more precise result, using a calculator if necessary. Discuss whether the approximation technique worked.
The approximate value of 63000 x 200 will be 12600000.
What is multiplication?
In mathematics, multiplication is defined as the sum of the numbers to the other number given. Like if 2 is multiplied by 3 then the multiplication will be the sum of the two-three times.
Given expression is 63000 x 200 so here we need to calculate the sum of the 63000 to 200 times.
E = 63000 x 200
E = 12600000
Therefore the approximate value of 63000 x 200 will be 12600000.
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Please help! 20 pts and brainliest!! An isosceles triangle has an angle that measures 124°. Which other angles could be in that isosceles triangle? Choose all that apply. 124, 28, 65, 41
Answer:
Step-by-step explanation:
In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:
124+2x=180
2x=56x=28
Please brainlest!
Julia has 9 one pound bags of sand each a different color. For a art project she will use 1/8 lb of each bag of sand to create sand art jar. How much sand will be in the jar?
a. 8/9, b. 1/72, c. 1 1/9, d. 1 1/8
The Perry family is selecting a furniture set. A furniture set has a bed and a dresser. There are 3 beds and 2 dressers to select from. How many different furniture sets could they select?
The number of different sets to be selected is 3
What is combination?Combination can be defined as the number of possible ways arrangement with no or little considerations for the order.
The formula for combination is expressed as;
C( n, r)= (n)!/ ( n - r)! r!
Where
n is the distinct number to select fromr is the selected numberC( 3, 2)= 3!/(3 - 2)!2!
Find the difference
C(3, 2) = 3!/1!2!
This can be written as;
C(3, 2) = 3× 2 × 1/1 × 2 × 1
Multiply through
C(3, 2) = 6/2
C(3,2) = 3
The number of different sets that could be selected from is 3
Hence, the number of different sets to be selected is 3
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A three-way intersection is sometimes called a
T-intersection
Y-intersection
Both a and b
Neither a nor b
Answer:
Both A and B
Step-by-step explanation:
Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.
3. Find the perimeter of the diagram. Round to the nearest
hundredth.
Answer:
I think the perimeter of the diagram is 5 and if you round it like
If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right. (In the example above, the hundredths digit is a 4 , so you would get 51.0 .) To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time).
During the 2008 - 2009 financial crisis, the GDP of the USA reduced from $14.72 trillion in 2008 to $14.42 trillion in 2009. What is the percentage change between these two years? around your answer to the nearest hundredth of a percent.
The percentage change in GDP is 2.04%
Percentage ChangePercentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.
The formula of percentage change is given as
Percentage change =[ (New increase - old value) / old value] * 100
Percentage change = [(14.72 - 14.42) / 14.72] * 100
Percentage change = 2.04%
In this case, there is a percentage decrease of 2.04%
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The map shows the location of the houses of Dan, Joe, Lee, and Roy:
Coordinate grid shown from negative 5 to positive 5 on x-axis and negative 5 to positive 5 on y-axis. A point labeled Dan is shown on ordered pair 1, 4. A point labeled Joe is shown on ordered pair negative 3, 4. A point labeled Lee is shown on ordered pair negative 3, negative 4. A point labeled Roy is shown on ordered pair 2, negative 3.
The coordinates of the community center are (5, −1). Who has a house in the same quadrant as the community center? (1 point)
Dan
Joe
Lee
Roy
Answer:
Roy has a house in the same quadrant as the Community Center
Step-by-step explanation:
Rectangular Coordinates
The coordinate grid shown in the image below contains the locations of the houses of Dan, Joe, Lee, and Roy.
It has also been marked the four quadrants I, II, III, and IV.
Note that Dan is in quadrant I, Joe is in quadrant II, Lee is in quadrant III, and Roy is in quadrant IV.
The Community Center (CC) is also in quadrant IV, thus the answer is:
Roy has a house in the same quadrant as the Community Center
Answer: the answer is roy so A
Step-by-step explanation: i can not screen shot but i know its a because i did the same test.
What is the surface area of the rectangle pyramid below 13 13 13
Answer:
Step-by-step explanation:
Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:
First, we need to calculate the area of the rectangular base, which is simply length x width:
Area of rectangular base = 13 x 13 = 169 square units
Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.
To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:
a² + b² = c²
where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.
13² + 13² = c²
338 = c²
c ≈ 18.38
Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:
Area of isosceles triangle = (1/2) x base x height
Area of isosceles triangle = (1/2) x 13 x 18.38
Area of isosceles triangle ≈ 119.14 square units
To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:
Area of right triangle = (1/2) x base x height
Area of right triangle = (1/2) x 13 x 18.38
Area of right triangle ≈ 119.14 square units
Since there are two of each type of triangular face, the total surface area of the pyramid is:
Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle
Surface area = 169 + 2 x 119.14 + 2 x 119.14
Surface area = 546.28 square units
Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.
What is the measure of angle BAC? Round to the nearest whole degree.
A 0°
B 1°
C 44°
D 48°
Answer: C) 44
Step-by-step explanation: EDGE 2022 CORRECT
What is the ratio of the length of the longer side to the length of the shorter side?
24 in.
4ft.
option:-
\( \boxed{ \rm{B ) \: 6:1}}\)\( \: \)
Given:-
\( \rm{Length \: of \: rectangle = \bold{ 24in. \: }}\)\( \: \)
\( \rm{Breadth \: of \: rectangle = \bold{ 4ft. }}\)\( \: \)
To find:-
radio of the length of the longer side to the shorter side.\( \: \)
Solution:-
\( \rm{ratio = 24 : 4 }\)\( \: \)
\( \rm\frac{A}{B} = \frac{24}{4} \)\( \: \)
\( \cancel \frac{24}{4} \)\( \: \)
\( \frac{6}{1} \)or
\( \underline{ \boxed{ \rm \red{ \: \: 6 : 1 \: \: }}}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
~How to find ratio?
Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.━━━━━━━━━━━━━━━━━━━━━━━━━━━━
\( \: \)
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Use the graph below. How much money is earned in 5 weeks?
Pleaseeee hellppp
According to the given graph, in the 5th week, he earned $70.
Graph:
Graph refers the pictorial representation or a diagram that represents data or values in an organized manner. It contains two axis that are x an y axis.
Given,
The graph has been given in the questions, that contain the details about saving account of the person with the time and amount in the account.
Here we need to find the total amount of earning in the fifth week.
In the given graph the the x axis represents the time that is in weeks
And the y axis represents the Total savings.
So, here we have to look at the fifth place in the x axis and we have to identify the corresponding y value for that one.
Because that is the resulting amount of fifth week.
Here the points are gradually moves on the straight line,
So, in the fifth week the amount of saving is $70.
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need help geometry question
Answer:
okay the answer 13.02 enjoy
Which of these are overlapping events?Drawing a Queen of Hearts or a Jack of Spades from a standard deck of cards
Drawing a face card or a 9 from a standard deck of cards
Drawing a Diamond or a Club from a standard deck of cards
Drawing a red card or a Queen from a standard deck of cards
Therefore , the solution of the given problem of probability comes out to be the right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."
What precisely is involved in the chance procedure?The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.
Here,
Because the Queen of Hearts and Jack of Spades are not face cards or nines,
the occurrences "Drawing a Queen of Hearts or Jack of Spades from a standard deck of cards" and "Drawing a face card or a 9 from the a standard deck of cards" do not overlap.
A Queen of Hearts is both a red card and a queen, and a diamond is a type of red card and a club is a type of card, so the occurrences "Drawing a Diamond or a Club from a Standard Deck of Cards" and "Drawing a Red Card or a Queen from a Standard Deck of Cards" overlap.
The right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."
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A plane flying with a constant speed of 360 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30°. At what rate (in km/h) is the distance from the plane to the radar station increasing a minute later? (Round your answer to the nearest whole number.)
The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).
To solve this problem, we can use the concepts of trigonometry and related rates.
Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.
Given:
The plane is flying with a constant speed of 360 km/h.
The plane passes over the radar station at an altitude of 1 km.
The plane is climbing at an angle of 30°.
We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.
We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:
sin(30°) = 1/D.
To find dD/dt, we can differentiate both sides of this equation with respect to time:
cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.
Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:
cos(30°) * 0 = -1/D^2 * dD/dt.
We can substitute the known values:
cos(30°) = √3/2,
D = 1 km.
Therefore, we have:
√3/2 * 0 = -1/(1^2) * dD/dt.
Simplifying further:
0 = -1 * dD/dt.
This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.
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HELP PLEASE 30 POINTS
Four transformations of the function f(x)=4x
are given below.
For each transformation, drag the expression that shows the result of that transformation into the box under it.
The expression that shows the result of that transformation are:
3f(x) = 3.4ˣ
f(3x)=4³ˣ
f(x+3)=4ˣ⁺³
f(x)+3=4ˣ+3.
The given function is f(x) =4ˣ.
We have to find the transformations applied to the function f(x).
Graph transformation involves modifying an existing graph or graphed equation to create a different version of the original graph.
f(x) =4ˣ
We have to find 3f(x), f(3x), f(x+3) and f(x)+3.
3f(x) = 3.4ˣ
f(3x)=4³ˣ
f(x+3)=4ˣ⁺³
f(x)+3=4ˣ+3.
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C=2πr
Diameter is 10
how many solutions does the system of equations have?
Step-by-step explanation:
The ONE solution to this system of two lines is the point where the two lines cross at (1,4)
Need help quick with full work
Answer:
(x + 5) and (x -1)
Step-by-step explanation:
Given
The attached graph
Required
The \(factors\) of the graph
The x \(values\) are where the \(curve\) \(touches\) the x-axis
The first is at:
\(x = -5\)
Add 5 to both sides
\(x +5= -5+5\)
\(x +5= 0\)
This implies that the first factor is: (x + 5)
The second is at:
\(x =1\)
Subtract 1 from both sides
\(x - 1 = 1 - 1\)
\(x - 1 = 0\)
This implies that the other factor is: (x - 1)
What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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Decimal operations
22.12 x 0.6 =
The product of 22.12 and 0.6 is indeed 13.272.
To compute the product of 22.12 and 0.6, we can perform the multiplication using the standard algorithm for decimal multiplication.
Multiply the decimal part (the digits after the decimal point) first.
0.12 x 0.6 = 0.072 (Multiply 12 by 6, which gives 72, and then move the decimal point two places to the left.)
Multiply the whole numbers.
22 x 0.6 = 13.2 (Multiply 22 by 6, which gives 132, and then move the decimal point one place to the left.)
Add the results from Step 1 and Step 2.
0.072 + 13.2 = 13.272
Therefore, when multiplying 22.12 by 0.6, the result is 13.272.
To verify the calculation, we can check by using estimation. 22.12 is approximately 22 and 0.6 is approximately 0.6. Multiplying 22 by 0.6 gives 13.2, which is close to our calculated result of 13.272. This further confirms that our multiplication is correct.
Hence, the product of 22.12 and 0.6 is indeed 13.272.
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Draw a line with the given intercepts.
X-intercept: 2
y-intercept: -1
Answer:
Equation: y = (1/2)x - 1
Step-by-step explanation:
Arnold is about to go on a 500-mile car trip. His mechanic recommends that he buy
a special highway engine oil that will save him 50 cents in gas for every 25 miles of the
trip. This new oil, however, will cost $20. Is it worthwhile for Arnold to buy the oil if he
has a coupon for $4 dollars off the price?
500 miles/ 25 = 20 x 0.50 = $10
He will save a total of $10
20-4 = $16
it will cost him $16 for the oil which is more than what he saves in gas so buying the oil is not worth it.
geometry is experienced that in the early childhood setting through
playing with blocks??
PLS QUICK!!
A rectangular piece of land will be divided by fences into 3 congruent rectangular sections. on a map, the entire piece of land measures 3 inches long by 12 inches wide. the scale of the map is 1/4 inch = 15 feet. what will be the area of each section of land?
Answer:
720 feet
Step-by-step explanation:
3*12=36 inches
36/3=12 inches per section of land
1/4 inch -> 15 feet
1 inch -> 60 feet
12 inch -> 720 feet
answer is 720
How much would you need to deposit in an account now in order to have $3000 in the account in 10 years? Assume the account earns 4% simple interest. Round your answer to the nearest cent.
50,000
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A computer store sells an average of 3 laptops per week.
1. What is the probability that no laptops will be sold next week?
2. What is the probability that a laptop will be sold next week?
3. Assuming that the store only works from Saturday to Wednesday, then there are two days in which no computers are sold: what is the probability that tomorrow (Tuesday) only one laptop will be sold?
Answer:7%
Step-by-step explanation:the store is rapidly selling laptops
1. The probability that no laptops will be sold next week is very low, as the store has an average of 3 laptops sold per week. This probability can be calculated using the Poisson distribution, which is a probability distribution used to model the number of times an event occurs within a given time period. The probability of no events occurring within a given time period is given by the formula:P(x=0) = e^(-lambda)
Where lambda is the average number of events per time period. In this case, the probability that no laptops will be sold next week is:
P(x=0) = e^(-3) = 0.0498
2. The probability that a laptop will be sold next week can also be calculated using the Poisson distribution. The probability of at least one event occurring within a given time period is given by the formula:
P(x>=1) = 1 - P(x=0) = 1 - e^(-lambda)
In this case, the probability that a laptop will be sold next week is:
P(x>=1) = 1 - e^(-3) = 0.9502
3. The probability that only one laptop will be sold tomorrow (Tuesday) can be calculated using the Poisson distribution. The probability of x events occurring within a given time period is given by the formula:
P(x) = (lambda^x * e^(-lambda)) / x!
Where lambda is the average number of events per time period and x is the number of events being considered. In this case, the probability that only one laptop will be sold tomorrow is:
P(x=1) = (3^1 * e^(-3)) / 1! = 3 * e^(-3) = 0.224
Note that this probability assumes that the store sells laptops at a constant rate throughout the week, and does not take into account any variations in demand or other factors that may affect the number of laptops sold on a given day.
A container has the shape of an open right circular cone, as shown in the figure above. The container has a radius of 4 feet at the top, and its height is 12 feet. If water flows into the container at a constant rate of 6 cubic feet per minute, how fast is the water level rising when the height of the water is 5 feet?
If water flows into the container at a constant rate of 6 cubic feet per minute, the rate at which the water level rising when the height of the water is 5 feet is; 0.688 ft/min
How to find the rate of change?When we are given an equation that gives the relationship between two or more variables, then by differentiating the equation with respect to time would give us a new equation that involves the rate of change of each of the given variables.
We are given the dimensions of the tank as;
Radius; r = 4 feet
Height; h = 12 feet.
The water in the tank will also have a conical shape.
By similar triangles, we know that;
r/h = 4/12
r = h/3
Now the volume of the water is;
V = ¹/₃πr²h
Put h/3 for r in this volume equation to get;
V = ¹/₃π(h/3)²h
V = (1/27)πh³
Differentiating with respect to time gives;
dV/dt = (3/27)πh²(dh/dt)
We are given;
dV/dt = 6 cubic feet per minute
h = 5
Thus;
6 = (3/27)π(5²)(dh/dt)
dh/dt = 0.688 ft/min
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Question 2 of 10
What is the solution to this equation?
x + 19 = 26
O A. x= 17
B. x= 5
C. x= 7
ОО
O D. x = 45
SUBMIT
Answer:
x=26-19
=7
Your answer is 7
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
what is inequality ?
An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."
So, the inequality would be:
Temperature < 8 degrees Fahrenheit
Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
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