Answer: x= 1.4 Hope this helps with your assignment.
Write three numbers that round to 32,000 when rounded to the nearest thousand.
Answer:
Step-by-step explanation:
Three numbers that round to 32,000 when rounded to the nearest thousand are:
31,500
31,750
32,250
When rounded to the nearest thousand, 31,500 rounds down to 32,000, 31,750 rounds up to 32,000, and 32,250 rounds up to 33,000.
Answer:
32,456
32,123
31,723
Step-by-step explanation:
To round a number to the nearest 1000, look at the digit next to thousand digit. If this next digit is 5 or more round up, else round down. Change all digits to the right of the thousands digit to 0
32, 456 ==> thousand place = 2 , next digit = 4 hence round down to 32, 000
31,723 ==> thousand digit is 1, next digit is 7 so round up to 32,000
Josh used 3 packages of spaghetti to make dinner for 19 guests. How much did
each guest have?
Answer:
6.3
Step-by-step explanation:
19/3=6.3 repeating so i just shortened it to 6.3.
final answer: 6.3
Please help me out with these questions :
Answer:
Step-by-step explanation:
1. 3/7 x = 12
3x = 84
x = 28
2. 3x+ 6 = 39
3x = 33
x = 11
3. 1/3 x - 3/4 x = 15
9x - 4x = 180
x = 36
4. 1/4 x = x -21
3/4 x = 21
3x = 84
x=28
5. 86-36 = 50
50/2
25
A walk alongside a railway track is represented on a map by an 86 mm straight line.
The walk is 17.2 km.
What is the scale of the map?
First we turn the 17.2 km into mm. To do that we turn it into 17,200 m then into 1,720,000 cm then into 17,200,000 mm. Then we just divide 17.2 million by 86 so 17,200,000÷86=200,000. so we know that the scale of the map is 1:200,000. Also pls mark as brainliest answer thx.
Help !!
centimeters and millimeters <3
1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .
How to compare centimeters and millimeters ?The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.
The length of my book in when measured in millimeters is 280 mm.
In centimeters, this is therefore:
= 280 mm / 10 cm /mm
= 28 cm
Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.
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nine less than twice a number is no more than 21
The value of variable (here assumed as y) would be , for nine less than twice a number is no more than 21.
What is variable?
Variable is a mathematical term used to represent an unknown value whose value varies or which is not fixed.The variables are represented by the alphabets. Constant and variables are the terms used in algebra, in form of equations or expressions. The constants are the ones having fixed value and they are represented by numbers.
Given that 9 less than twice a number is no more than 21
On Converting this statement into equation:
let the number be y
twice a number=2y
nine less than twice a number=2y-9
the equation is: 2y - 9 ≤ 21 {as mentioned in the statement, not more than 21}
Solve for the value of variable:
2y - 9 ≤ 21
2y ≤ 21 + 9
2y ≤ 30
y ≤ 30 ÷ 2
y ≤ 15
The number would be less than or equal to 15 for 9 less than twice a number to be not more than 21.
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The complete question is: nine less than twice a number is not more than 21, find the number.
What is the equation of a line that has a slope of 3 and goes through the point (-3,-5)
Answer:
y=3(-3)+4
Step-by-step explanation:
y=mx+b
y : the y point (put as y in the final equation)
m : slope
x : x point
b : y intercept
11. A meter is about 3.3 ft, so 4.9 m is about
A 2ft
B 8 ft
C 16ft
D 20ft
Answer:
1m=3.3ft
4.9m=3.3×4.9ft
=16.17ft
Find slope of (- 6,1)and(8,-7)
The slope of the line passing through the points (-6, 1) and (8, -7) is -4/7.
What is the slope of the given points?Slope is simply expressed as change in y over the change in x.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Point A: ( -6,1 )
x₁ = -6
y₁ = 1
Point B: ( 8,-7 )
x₂ = 8
y₂ = -7
Now, plug the given x and y values into the slope formula above and simplify:
\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{-7 - 1}{8 - (-6)} \\\\Slope\ m = \frac{-7 - 1}{8 + 6} \\\\Slope\ m = \frac{-8}{14} \\\\Slope\ m = -\frac{4}{7}\)
Therefore, the slope of the line is -4/7.
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What is the dislance belween the points (4,-7) and (-5, -7)?
Answer:
Therefore the distance between the points is 9 units.
__________________________________________________________
Hello! In this question, we will find the distance between the two given points.
__________________________________________________________
Explanation:
In this problem, we were given the points:
(4,-7)(-5, -7)In order to find the distance between the two points, we will use our given information and plug it into the distance formula:
\(d = \sqrt{(x2-x1)^2+(y2-y1)^2}\)
In this case, our values would be:
__________________________________________________________
Solve:
Plug in the values into the formula above and solve:
\(d = \sqrt{(-5-4)^2+(-7-(-7))^2}\\\\d=\sqrt{(-9^)^2+(0)^2}\\\\d=\sqrt{81}\\\\\boxed{d=9}\)
__________________________________________________________
Answer:
The distance between the two points would be \(\boxed{\text{9 units}}\)
__________________________________________________________
Additional info:
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Fill in the missing numbers to complete the linear equation that gives the rule for this table.
x y
4 –39
5 –40
6 –41
7 –42
y =__ x −__
The linear equation that represent the table is y = -x - 35
How to find a linear equation?A linear equation is an equation in which the highest power of the variable is always 1.
The linear equation of the table can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptHence,
m = -40 + 39 / 5 - 4
m = - 1 / 1 = -1
Hence, using (4, -39)
y = -x + b
-39 = -4 + b
-39 + 4 = b
b = -35
Therefore,
y = -x - 35
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A 12 ft. ladder is leaning against a house. The ladder makes a 60° angle with the ground. Use special right triangles to find how far up the building the ladder will reach.
Given:
The length of the ladder = 12 ft
The angle of ladder with ground = 60 degrees
To find:
How far up the building the ladder will reach.
Solution:
Using the given information draw a figure as shown below.
We need to find the vertical distance between the top of ladder and the ground.
Let x be the required distance.
In a right angle triangle,
\(\sin \theta=\dfrac{Perpendicular}{Hypotenuse}\)
In the below triangle ABC,
\(\sin A=\dfrac{BC}{AC}\)
\(\sin 60^\circ=\dfrac{x}{12}\)
\(\dfrac{\sqrt{3}}{2}=\dfrac{x}{12}\)
Multiply both sides by 12.
\(\dfrac{\sqrt{3}}{2}\times 12=x\)
\(6\sqrt{3}=x\)
Therefore, the ladder will reach \(6\sqrt{3}\) ft far up the building.
. Automobile Insurance An insurance company
classifies drivers as low-risk, medium-risk, and highrisk. Of those insured, 60% are low-risk, 30% are
medium-risk, and 10% are high-risk. After a study, the
company finds that during a 1-year period, 1% of the
low-risk drivers had an accident, 5% of the medium-risk
drivers had an accident, and 9% of the high-risk drivers
had an accident. If a driver is selected at random, find
the probability that the driver will have had an accident
during the year.
Answer: during the year many medium risk are chosen
Step-by-step explanation:
Amy runs from C to D.
She runs __ ft.
a) 800
b) 80
c) 600
What percent larger is 20.49 trillion to 13.4 trillion
The answer of the given question based on the percent is , 20.49 trillion is about 52.84% larger than 13.4 trillion.
What is Percentage?Percentage is a way of expressing a quantity or value as a fraction of 100. It is a widely used method for describing proportions, rates, changes, and comparisons in various fields such as mathematics, economics, statistics, science, and everyday life. The term "percent" literally means "per hundred", and it is represented by the symbol "%". To convert a number to a percentage, we multiply it by 100 and add the symbol "%".
To find the percent larger that 20.49 trillion is to 13.4 trillion, we can use the following formula:
Percent change = (New value -Old value) /Old value * 100%
Plugging in the values we have:
Percent change = (20.49 trillion - 13.4 trillion) / 13.4 trillion * 100%
= 7.09 trillion / 13.4 trillion * 100%
= 52.84%
Therefore, 20.49 trillion is about 52.84% larger than 13.4 trillion.
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2
Calculate the volume of the cylinder.
4 cm
10 cm
<
Use = 3.14.
What is the domain of the square root function graphed below?
. in triangle 4abc, m is the midpoint of the side ab and n is the midpoint of the side ac. find the length of the segment mn if ab =18, bc= 10 and ac= 20
The length of the segment of the MN is 10 units, by using the midpoint formula and distance formula.
Distance FormulaThe algebraic phrase is known as the distance formula, which provides the distances between two places in terms of their coordinates (see coordinate system). The distance formulas for points in rectangular coordinates in two- and three-dimensional Euclidean space are based on the Pythagorean theorem.
Since M is the midpoint of side AB and N is the midpoint of side AC, we can use the midpoint formula to find the coordinates of points M and N.
Midpoint Formula: (x₁ + x₂)/2, (y₁ + y₂)/2
For M:
(A x + B x)/2, (A y + B y)/2
= (18 + 0)/2, (0 + 0)/2
= 9, 0
For N:
(A x + C x)/2, (A y + C y)/2
= (18 + 20)/2, (0 + 0)/2
= 19, 0
Step 4: Now that we have the coordinates of M and N, we can use the distance formula to find the length of the segment MN.
Distance Formula: √((x₂ - x₁)² + (y₂ - y₁)²)
For MN:
√((19 - 9)² + (0 - 0)²)
= √(100)
= 10
Therefore, the length of the segment MN is 10 units.
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You want to buy some rice. A 7-ounce package costs $2.59. A 16-ounce package costs $5.60. A 24-ounce package costs$9.36. Which package is the best buy?
Answer:
Thanks
Step-by-step explanation:
Thanks
PLEASE HELP!! Write an equation of g(x) that represents an exponential base “e” parent function with the following transformations:
Reflect over y-axis, shift right 7, vertical stretch by 12
Answer:
\(g(x) = 12 {e}^{ - x - 7} \)
Step-by-step explanation:
The parent function is
\(g(x) = e {}^{x} \)
First it is asked to reflect over the y axis so using the rule
\(g(x) = g( - x)\)
Our function looks like
\(g(x) = e {}^{ - x} \)
Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule
\(g(x) = g(x - h)\)
When subtracting a 7 it looks like now
where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule
\(g(x) = a \times g(x)\)
where a is the vertical stretch. So now it would look like
\(g(x) = 12 {e}^{ - x - 7} \)
g (x)=√-3x+6
Look at photo please
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).
LCM for 27, 12, and 36
I WILL GIVE ALL BRAINLIEST JUST HELP
Answer: The answer is 108.
a bag contains 1 red beads,2 yellow beads,2 green beads and 1 blue beads
a bead is chosen at random
a)what is probability that it is green ?
b)what probability that it is green or yellow
Answer:
a) 2/6 b) 4/6
Step-by-step explanation:
You add the amount of beads: 1+2+2+1= 6
And take the amount of green beads and put it over the total amount so 2/6
For b you do the same but add the green and yellow beads and put that over the total amount 4/6
Answer:
Step-by-step explanation:
a) 2/6 = 1/3
b) green or yellow = (2/6 x 1/5) + (2/6 x 1/5) = 1/15 x 1/15 = 1/225
im not sure if my answers are correct
PLEASE HELP!!!! Liner equations & graphs!!! Can someone please help me with this.
Answer:
It would be A
Step-by-step explanation:
Since the starting amount was $11 you would look how much it was for 2 rides and subtract 17-11 than that is 6 so for two rides it is 6 dollars extra. So than for 1 ride you would divide 6 by 2 and get 3.
Which of these functions could have been the graph shown below?
Answer:
B
Step-by-step explanation:
we take the only point we know
(0,20)
in A when x =0
\(f(x)=e^{20x} =e^{20*0}=1\)
in B when x=0
\(f(x)=20e^x=20e^0=20*1=20\)
fits
in C
\(f(x)=20^x=20^0=1\)
in D
\(f(x)=20^{20x}=20^{20*0}=20^0=1\)
so the only choice is B
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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Which pair of rectangular coordinates represents the polar point R on the graph?
Before we can determine the rectangular coordinate of the point, let's determine first its polar coordinates. For this, we need two things: radius and angle.
For the radius, we see that point R is 4 units away from the center.
For the angle, we see that it is 30° clockwise or 330° counterclockwise. See the illustration below:
Now that we know the radius is 4 units and the angle is 330° counterclockwise, let's now convert this to rectangular coordinates.
Use the formula below:
For x-coordinate, we have:
\(x=rcos\theta\)\(\begin{gathered} x=4cos330\degree \\ x=2\sqrt{3} \end{gathered}\)For the y-coordinate, we have:
\(y=rsin\theta\)\(\begin{gathered} y=4sin330\degree \\ y=-2 \end{gathered}\)Therefore, the rectangular coordinate of the given polar point is (2√3, -2). Option B.
) Find the average gold medal winnings of those NOCs who have been
awarded fewer than ten bronze medals.
Count the number of those NOCs that have been awarded ten or more
silver medals.
This question requires the construction and interpretation of a pie chart based
on the data throughout this task.
a) Create a suitable and fully labelled pie chart to show the total medal
winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games.
Interpret the pie chart produced in Question 8a). Discuss two probable
justifications for the behaviour of the data.
a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:
Obtain the data for the medal winnings of the Top 10 NOCs
Find the average gold medal winnings of those NOCs who have beenawarded fewer than ten bronze medals.?Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)
Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option
Add a title and labels to the chart to show the NOCs and their corresponding medal winnings
b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:
Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.
Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.
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What is y in this equation
Answer:
y = 88
Step-by-step explanation:
y + 53 + 39 = 180
y + 92 = 180
y = 88
f(x)=-1/2x+3. G is a quadratic function with the following properties: g has lesser y-intercept than f; the maximum value of g and y-intercept are not equal; first g increases and the it decreases. Graph function g
The equation is \(g(x) = -\frac{1}{16} (x - 1)^2 + 2\) Graphing this equation below, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).
Define the term graph?To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.
To graph function g, we need to find its equation that satisfies the given properties. We know that the y-intercept of g is less than that of f, so we can choose it to be 1. Also, the parabola of g opens downwards and its vertex is between the two x-intercepts, which are at x = -2 and x = 4. We can use these points to find the equation of the parabola in the standard form: g(x) = a(x - h)² + k. Using the fact that g(0) = 1 and the x-intercepts, we can solve for a, h, and k. The resulting equation is:
\(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)
Graphing this equation, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).
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