Answer:
c
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
If square root of x has a decimal approximation of 3.4, then x is between which two integers? In your final answer, include all calculations.
Answer:
You know that √x = 3.4, therefore x = 3.4² = 11.56
Hope I helped :)
If the square root of x has a decimal approximation of 3.4, then x is between 11 and 12.
We have,
If the square root of x has a decimal approximation of 3.4, we can write this as:
√x ≈ 3.4
To find the range of integers that x could fall between, we can square both sides of the equation:
x ≈ (3.4)²
x ≈ 11.56
So, x is approximately 11.56.
The two consecutive integers that x falls between are 11 and 12.
Thus,
If the square root of x has a decimal approximation of 3.4, then x is between 11 and 12.
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Every month, Edmund saves some money and puts the money into a bag. The bag now contains some $2, $5 and $10 notes with the total value of $3782. There are 312 pieces of $10 notes and 58 pieces of $5 notes. How many pieces of $2 notes are there?
Answer:
186
Step-by-step explanation:
[tex]2x+10(312)+58(5)=3782[/tex]
[tex]2x+3410=3782[/tex]
[tex]2x=372[/tex]
[tex]x=186[/tex]
Find the area of a circle whose radius is 12 in. Round to the nearest tenth.
452.4 in2
113.1 in 2
75.4 in2
37.7 in 2
Answer:
Well to find the area of a circle given the radius you do: pi*12^2 Which is 452.4 in2
Step-by-step explanation:
How do you change a percent to a decimal?
To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. Let's say we wanted to convert 82% to a decimal. We can think of 82% as the ratio 82 to 100 or 82 ÷ 100. When we divide by 100, it moves the decimal point 2 places to the left so 82 ÷ 100 would move the decimal point 2 places to the left which would give us .82. Therefore, 82% would = 0.82.
Final answer:
To convert a percent to a decimal, represent the percent as a fraction with a denominator of 100 and divide the numerator by the denominator. A percent is a ratio whose denominator is 100, making this conversion straightforward.
Explanation:
To change a percent to a decimal, you need to express the percent value as a fraction with a denominator of 100. For example, if you have a percent like 75%, you represent it as the fraction 75/100. Then, you divide the numerator by the denominator, which in this case is 75 divided by 100, giving you a decimal of 0.75.
When calculating percents, it's essential to understand that a percent is a ratio with a denominator of 100. So every percent can be written as a fraction over 100, simplified if possible, and then easily converted to a decimal.
To illustrate the reverse process, for converting a decimal to a percent, you'd take a decimal such as 0.45, write it as the fraction 45/100 (which is already simplified since the denominator is 100), then express it as a percent, which would be 45%.
Point A is located at (3, -5). After it is transformed, point A' is located at (3, 5). How was the point transformed?
A. It was reflected in the x-axis.
B. It was rotated 90° around the origin.
C. It was reflected in the y-axis.
D. It was rotated 180°.
Answer:
A
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Under a rotation about the origin of 90°
a point (x, y ) → (- y, x )
Under a reflection in the y- axis
a point (x, y ) → (- x, y )
Under a rotation of 180°
a point (x, y ) → (- x. - y )
Here A(3, - 5 ) → A'(3, 5 ) → A
What is the rate of change of the function represented by the table
X Y
1. 5
2. 5
3. 5
4. 5
Answer:
I believe that the rate of change would be zero.
Step-by-step explanation:
When you look at the y value you notice that the 5 is repeated so this means that the rate of change is 0. i hope this helps.
Nidhi has $185 to spend on bottles of wine for a party. Each bottle of wine costs $22.87. What is the maximum number of bottles of wine she can buy?
Answer:8
Step-by-step explanation:
Divide the amount of money she has by the amount the bottles cost. And you will get 8! Check your answer by multiplying 8 by 22.87
Final answer:
Nidhi can buy a maximum of 8 bottles of wine with her $185 budget, as each bottle costs $22.87.
Explanation:
The question involves finding out the maximum number of bottles of wine Nidhi can buy with her budget of $185, given that each bottle costs $22.87. To find the answer, we need to divide the total amount of money Nidhi has by the cost of one bottle of wine.
Step 1: Calculate the total number of bottles by dividing the total budget by the cost per bottle:
Total Number of Bottles = Total Budget / Cost per Bottle
Total Number of Bottles = $185 / $22.87
Step 2: Perform the calculation:
Total Number of Bottles ≈ 8.09
Since Nidhi cannot buy a fraction of a bottle, she can purchase a maximum of 8 bottles of wine with her budget of $185.
Problem Set:
At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults.
a. Write the ratio of the number of boys to the number of girls.
b. Write the same ratio using another form (A: B vs. A to B).
c. Write the ratio of the number of boys to the number of adults.
d. Write the same ratio using another form.
*Answer A-D
Answer:
Part a) [tex]\frac{132}{89}[/tex]
Part b) 132:89 vs 132 to 89
Part c) [tex]\frac{66}{7}[/tex]
Part d) 66:7 vs 66 to 7
Step-by-step explanation:
Let
x ----> the number of boys
y ----> the number girls
z ----> the number of adults
we have
x=132, y=89, z=14
Part a) Write the ratio of the number of boys to the number of girls.
To find the ratio of the number of boys to the number of girls, divide the number of boys by the number of girls
so
[tex]\frac{x}{y}[/tex]
substitute
[tex]\frac{132}{89}[/tex]
Part b) Write the same ratio using another form (A: B vs. A to B)
we have
[tex]\frac{132}{89}[/tex]
The other form is
132:89 vs 132 to 89
Part c) Write the ratio of the number of boys to the number of adults
To find the ratio of the number of boys to the number of adults, divide the number of boys by the number of adults
so
[tex]\frac{x}{z}[/tex]
substitute
[tex]\frac{132}{14}[/tex]
Simplify
[tex]\frac{66}{7}[/tex]
Part d) Write the same ratio using another form
The other form is
66:7 vs 66 to 7
Drag each tile to the correct box. Not all tiles will be used. The area (A) of a circle with a radius of r is given by the formula and its diameter (d) is given by . Arrange the equations in the correct sequence to rewrite the formula for diameter in terms of the area of the circle.
Answer:
Hello my friend! The answer is in the picture below
Step-by-step explanation:
To rewrite the formula for diameter (d) in terms of the area (A) of the circle, you can use the following sequence:
1. A = [tex]pi * (d/2)^2[/tex]
2. [tex]d^2[/tex] = (2A)/pi
3. d = [tex]sqrt((2A)/pi)[/tex]
The question requires arranging the given equations to express the diameter of the circle in terms of its area. Let's proceed step by step:
Start with the formula for the area of a circle: A = pi * r^2, where 'r' is the radius of the circle.
Recall the relationship between diameter and radius: d = 2 * r.
Substitute radius 'r' with diameter 'd' in the area formula: This results in A = [tex]pi * (d/2)^2[/tex].
Solve this equation for diameter 'd': You'll get d = [tex]sqrt((4 * A)/pi)[/tex].
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Two lines are perpendicular. The first line passes through (1, –3) and has a y-intercept of (0, 3). Which of the following cannot be the equation of the second line?
Answer:
u tell me
Step-by-step explanation:
its been 3 years. did u figure it out?
The difference of two numbers is 841. The smaller of the numbers is 471. What is the other number?
The larger number from the two numbers which has a difference of 841 and where the smaller number is 471, is calculated to be 1312
Explanation:The question tells us that the difference of two numbers is 841 and the smaller number is 471. We can express this situation using a simple equation: x - 471 = 841, where x is the larger number that we're trying to find. If we add 471 to both sides of the equation to isolate x, the equation becomes x = 841 + 471, which gives us x = 1312. So, the larger number is 1312
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The question asked to solve for a number when given the difference between that number and another number is 841, and the one number is 471. By switching the subtraction problem into an addition one, we add 841 to 471 to get the larger number, which is 1312.
Explanation:
The student is asking to find a second number when the difference of it and another number is known. The information given is that the difference between two numbers is 841, and the smaller number is 471.
The question can be solved using simple subtraction in reverse, also called addition. You see, when we know the difference between two numbers and one of the numbers, we can find the other number by adding the difference to the known number, if the known number is smaller, which is the case here.
To find the missing number we simply add the difference (841) to the smaller number (471). It will look like this: 471 + 841 = 1312.
Therefore, the larger number in this pair of numbers is 1312.
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What is the solution to 5x+y=13
−x+2y=−7 ?
also What is the solution to
4x+5y=35
−3x+2y=−9 ?
A)
5x+y=13
−x+2y=−7
Multiply each term in the first equation by -2:
5x + y = 13 x -2 = -10x - 2y = -26
Now add that to the second equation:
-10x - 2y = -26 + −x+2y=−7
= -11x = -33
Divide each side by -11
X = -33 / -11
X = 3
Now you have x, replace it in the first equation and solve for y:
5(3) + y = 13
Simplify:
15 + y = 13
Subtract 15 from both sides:
y = 13 -15
y = -2
Solution = (3,-2)
B)
4x+5y=35
−3x+2y=−9
Multiply each term in the second equation by -2.5:
7.5x -5y = 22.5
Add this to the first equation:
4x+5y=35 + 7.5x -5y = 22.5
= 11.5x = 57.5
Divide both sides by 11.5:
x = 57.5 / 11.5
x = 5
Now you have x, replace x in one of the equations to solve for y:
4(5) + 5y = 35
Simplify:
20 + 5y = 35
Subtract 20 from both sides:
5y = 15
Divide both sides by 5:
y = 15/5
y = 3
Solution = (5,3)
18 divided by 2 equals 9 because
Answer:
A
Step-by-step explanation:
9*2=18
18/2=9
18 divided by 2 equals 9 because A. 2 times 9 equals 18.
Here, we have,
given that,
18 divided by 2 equals 9
now, we have to find why it is 9.
now, we know that,
9*2=18
i.e. 2 times 9 = 18
so, we get,
9*2=18
=> 18/2=9
Hence, 18 divided by 2 equals 9 because A. 2 times 9 equals 18.
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Which value of x is a solution for this equation? 7 − 4x = −12 − 3x
To solve the equation 7 - 4x = -12 - 3x, combine like terms and isolate x on one side of the equation. The solution is x = 19.
Explanation:To solve the equation 7 - 4x = -12 - 3x, we need to isolate the variable x on one side of the equation. First, we can combine like terms by subtracting 7 from both sides:
7 - 4x - 7 = -12 - 3x - 7
-4x = -19 - 3x
Next, we can simplify the equation by adding 3x to both sides:
-4x + 3x = -19 - 3x + 3x
-x = -19
Finally, we can solve for x by multiplying both sides by -1:
x = 19
Therefore, the value of x that is a solution for the equation 7 - 4x = -12 - 3x is x = 19.
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Andre says that 5 3/4 + 2 1/4 = 7 1/2 because 7 4/8 = 7 1/2. Identify his mistake. Draw a picture to prove that he is wrong.
Andre's Mistake in reasoning is assuming that 7 4/8 is equal to 7 1/2. Drawing a number line can prove that the fractions may be equivalent, but the whole numbers are not.
Andre made a mistake in his reasoning.
He incorrectly assumed that 7 4/8 is equal to 7 1/2. The fractions 4/8 and 1/2 are actually equivalent, but the whole numbers 7 and 7 are not.
To prove this, you can draw a number line and divide it into equal parts.
Taking the fractions 4/8 and 1/2, you will see that they represent the same distance, but they start at different points on the number line.
Therefore, 5 3/4 + 2 1/4 is not equal to 7 1/2.
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At midnight the temperature was -2 degrees C. By noon the following day the temperature was 8 degrees C. Find the temperature change.
If BA [a= (-2,-3) b= (1,2)] is extended all the way through A creating a BF and A becomes the midpoint of BF, then what are the coordinates
Answer:
(-5,-8)
Step-by-step explanation:
If M(x,y) is the midpoint of the segment CD, where [tex]C(x_1,y_1),\ D(x_2,y_2),[/tex] then
[tex]x=\dfrac{x_1+x_2}{2}\\ \\y=\dfrac{y_1+y_2}{2}[/tex]
You are given two points A(-2,-3) and B(1,2), let point F be the point with coordinates (x,y). Yuo know, that point A is the midpoint of BF, then
[tex]x_A=\dfrac{x_B+x_F}{2}\\ \\y_A=\dfrac{y_B+y_F}{2}[/tex]
Substitute known coordinates:
[tex]-2=\dfrac{1+x}{2}\Rightarrow 1+x=-4,\ \ x=-5\\ \\-3=\dfrac{2+y}{2}\Rightarrow 2+y=-6,\ \ y=-8[/tex]
So, point F has coordinates (-5,-8)
Express 0.000000018 in scientific notation.
Answer:
Step-by-step explanation:
0.000000018 = 1.8 * 10^-8
Final answer:
To express the number 0.000000018 in scientific notation, it is written as 1.8 × 10⁻⁸. Additionally, to multiply 0.00000000552 by 0.0000000006188 in scientific notation, the result is 3.415776 × 10⁻¹⁸.
Explanation:
To express the number 0.000000018 in scientific notation, we need to place the decimal after the first non-zero digit, and then count the number of places the decimal has moved. In this case, we move the decimal to the right of the 1 (the first non-zero digit), so it moves 8 places to the right. Therefore, 0.000000018 can be expressed as 1.8 × 10⁻⁸.
For the additional exercise, we'll convert each number to scientific notation and then multiply them:
0.00000000552 is written as 5.52 × 10⁻⁹0.0000000006188 is written as 6.188 × 10⁻¹⁰Now, multiplying these we get:
5.52 × 10⁻⁹ × 6.188 × 10⁻¹⁰ = 34.15776 × 10⁻¹⁹ which simplifies to 3.415776 × 10⁻¹⁸ in scientific notation.
Cilia cycles 4.2 km every morning. How many feet are in 4.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet ?
A. 13,782.47 feet
B. 22,176.00 feet
C. 35,681.18 feet
D. 44,352,00 feet
Answer:
There are 13,782.47 feet in 4.2 kilometers ⇒ answer A
Step-by-step explanation:
- Cilia cycles 4.2 km every morning
- We need to convert the kilometers to feet
- 1 mile = 1.609 kilometers
- 1 mile = 5,280 feet
* Lets do that
∵ 1 mile = 1.609 km
∵ 1 mile = 5,280 feet
- Equate them
∴ 1.609 km = 5, 280 miles
* Now we can use the cross multiplication to find how many feet in
4.2 kilometers
→ km : feet
→ 1.609 : 5,280
→ 4.2 : x
- By using cross multiplication
∴ 1.609 x = 4.2 × 5,280
- Multiply 4.2 by 5,280
∴ 1.609 x = 22176
- Divide both sides by 1.609
∴ x = 13782.47
∵ x represents the number of feet in 4.2 kilometers
∴ There are 13,782.47 feet in 4.2 kilometers
Answer:
yeah eggs dee
Step-by-step explanation:
the genius up top is right
5. Estimate 0.00792398 to the nearest
thousandth. Express your answer as a
single digit times a power of ten.
Answer:
8×10⁻³
Step-by-step explanation:
You want the value 0.00792398 rounded to the nearest thousandth.
RoundingThe digit in the place to the right of the thousandth place is 9 in the ten-thousandths place. That is greater than 4, so the digit in the thousandths place needs to increase by 1 before other digits are dropped. The result is ...
0.008 = 8×10⁻³
To estimate 0.00792398 to the nearest thousandth, round the number to the third decimal place. As the fourth decimal is 9, we round up to get 0.008. This expressed as single digit times a power of ten becomes 8 * 10^-3.
Explanation:In this problem, you are asked to estimate 0.00792398 to the nearest thousandth. That means you need to round the number to the third decimal place. Firstly, you look at the fourth decimal place, which is 9. If this digit is 5 or more (which it is in this case), we round the third decimal number up. So 0.00792398 rounded to the nearest thousandth becomes 0.008.
Now, to express the answer as a single digit times a power of ten, you would express 0.008 as 8 * 10^-3. This is because -3 powers of ten move the decimal place three places to the left and leaves us with the original number 0.008.
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(2x - 1) + (3y + 2)i = 5 – 4i
Solve for x and y
Answer:
The solution for x and y in (2x - 1) + (3y + 2)i = 5 – 4i cannot be determined.
Solution:
From question, the equation given is
(2x - 1) + (3y + 2)i = 5 – 4i
Multiplying the terms inside the bracket (3y + 2) with i, the above equation becomes,
(2x – 1) + 3iy + 2i = 5 – 4i
Removing the parenthesis in (2x – 1), the above equation becomes,
2x -1 + 3iy + 2i = 5 - 4i
2x – 1 + 3iy + 2i – 5 + 4i = 0
Rearranging the terms, the above equation becomes
2x + 3iy + 4i + 2i -1 -5 = 0
2x + 3iy + 6i – 6 = 0
The above equation cannot be simplified further. Hence the solution for x and y cannot be determined.
Am i correct about this or no? Need answer asap.
Answer: Yep! I agree
Step-by-step explanation: Ok to shows the 10 and 30 are proportional... This means 8 and n would be too
Three hundred and eighty -two tenthousandths
Answer:
382000
Step-by-step explanation:
What is the slope of the line in the graph?
Answer:
Step-by-step explanation:
There are three steps in calculating the slope of a straight line when you are not given its equation.
Step One: Identify two points on the line.
Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
Step Three: Use the slope equation to calculate slope.
Take a moment to work through an example where we are given two points.
Example
Let's say that points (15, 8) and (10, 7) are on a straight line. What is the slope of this line?
Step One: Identify two points on the line.
In this example we are given two points, (15, 8) and (10, 7), on a straight line.
Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
It doesn't matter which we choose, so let's take (15, 8) to be (x2, y2). Let's take the point (10, 7) to be the point (x1, y1).
Step Three: Use the equation to calculate slope.
Once we've completed step 2, we are ready to calculate the slope using the equation for a slope:
We said that it really doesn't matter which point we choose as (x1, y1) and the which to be (x2, y2). Let's show that this is true. Take the same two points (15, 8) and (10, 7), but this time we will calculate the slope using (15, 8) as (x1, y1) and (10, 7) as the point (x2, y2). Then substitute these into the equation for slope:
We get the same answer as before!
Often you will not be given the two points, but will need to identify two points from a graph. In this case the process is the same, the first step being to identify the points from the graph. Below is an example that begins with a graph.
14.25 devised by1.9 what is the answer
Hank’s pickup can travel 75 miles on 5 gallons of gas. How many gallons will Hank’s pickup need to travel 60 miles?
Hank’s pickup will need blank gallons of gas to travel 60 miles.
Answer:
The Answer is 4
Step-by-step explanation:
75 Miles divided by 5 Gallons is 15. Take that and divide 60 miles by 15. Your answer is 4 Gallons.
Hank's pickup consumes gas at a rate of 15 miles per gallon. To travel 60 miles, it would need 4 gallons of gas.
Explanation:To solve this problem, you need to first establish the rate of gas consumption for Hank's pickup. According to the data given, we know that Hank's pickup travels 75 miles with 5 gallons of gas which gives us a rate of 15 miles per gallon. The next step is to find out how much gas Hank's pickup will consume to travel 60 miles. So you divide the 60 miles by the rate of consumption which is 15 miles per gallon. The result is 4 gallons. Therefore, Hank's pickup will need 4 gallons of gas to travel 60 miles.
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Find the complement of an angle whose measure is 38
Answer:
52
Step-by-step explanation:
Complementary angles are two angles that add up to equal 90 degrees
90-38= 52
Therefore the complementary angle or "complement" of 38 is 52 degrees
Answer:
52⁰
Step-by-step explanation:
Complement of angke = 90 - angle
Complement = 90 - 38 = 52⁰
what is the input value for which f(x)=3
Based on the graph, the input value for which f(x) = 3 is -3.
What is a function?In Euclidean Geometry, a function is a mathematical expression which is used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.
By critically observing the graph shown above, we can logically deduce that an input value that produces an output value of 3 is -3 as made evident by this ordered pair (3, -3);
f(-3) = 3
Based on the graph, the input value for which f(x) = 3 is -3.
What is a function?
In Euclidean Geometry, a function is a mathematical expression which is used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.
By critically observing the graph shown above, we can logically deduce that an input value that produces an output value of 3 is -3 as made evident by this ordered pair (3, -3);
f(-3) = 3
506 students went on a field trip. Nine buses
were filled and 29 students traveled in cars.
How many students were in each bus?
Answer:
53 students on each bus
Step-by-step explanation:
506-29=477 (take out the students that went by car)
477/9 = 53 (distribute 477 students evenly in 9 buses)
How much fencing is needed to enclose a circular pond with diameter 12.5 feet? A. 37.5 feet B. 19.625feet C. 98.5feet D. 39.25feet
Answer:
c=pi x d
3.14x12.5
d is the answer
Step-by-step explanation:
The length of fencing should be 78.5 feet.
What is circumference of circle?It is a well-known fact that the ratio of the circumference of a circle to its diameter is fixed and its value is 3.14159... which is symbolically represented as π. Therefore, circumference = π × diameter = 2π × radius.
Given:
diameter= 12.5 feet.
radius= 6.25 feet
So, circumference of circle
=2πr
=2.*314*6.25
= 78.5 feet.
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