Answer:
There are 16 unit squares on the geoboard. Each unit square represents 5 meters, so the total area is 16*5 = 80 square meters.
Here is a diagram of the geoboard with the unit squares labeled:
[Image of a geoboard with 16 unit squares labeled]
I hope this helps! Let me know if you have any other questions.
what is the purpose of using prefixes in the metric system
The purpose of using prefix in the metric system is to properly sale the basis of the unit so large numeric values can be used effectively.
If the metric system is not properly prefixed it can lead to various inconsistencies in the the numeric values. for example if you go to a computer store and you do not know the scale like (kb, mb, gb, tb) you will get quite confused about what is the sales representative saying
Consider you went to a store to get sugar and you do not know the metric system say(gram, kg, mg) you would not know how much sugar you need directly by taking it in your hands.
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May I please receive help?
Answer:
\(\frac{4}{9}\)
\(-\frac{9}{4}\)
Step-by-step explanation:
First, solve the equation for y to find the slope of the original line. When you solve for y you get \(y=-\frac{9}{4}x+2\). Since the coefficient of x in slope-intercept form is the slope, -9/4 is the slope of this line.
Perpendicular lines have the opposite slope, so if the slope is a/b then the perpendicular slope is -b/a. Since the slope is -9/4, the perpendicular slope is 4/9.
Parallel lines have the same slope. So, the slope is the exact same, -9/4.
Select the correct answer.
The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)?
Answer: I think its d
Step-by-step explanation:
What is the kinetic energy per mole of gaseous NH_3 molecules at 366.6 Kelvins? Calculate your answer in units of kJ/mol
The kinetic energy per mole of gaseous NH3 molecules at 366.6 Kelvin is approximately 13.5046 kJ/mol.
The kinetic energy per mole of gaseous NH3 molecules at 366.6 Kelvin can be calculated using the formula:
Kinetic energy per mole = (3/2) * R * T
where R is the gas constant (8.314 J/(mol·K)) and T is the temperature in Kelvin.
In this case, the given temperature is 366.6 Kelvin. We can substitute the values into the formula:
Kinetic energy per mole = (3/2) * (8.314 J/(mol·K)) * 366.6 K
Now, we can calculate the result:
Kinetic energy per mole = (3/2) * 8.314 J/(mol·K) * 366.6 K
= 36.8766 J/(mol·K) * 366.6 K
= 13,504.5996 J/mol
To convert this result to kJ/mol, we divide by 1000:
13,504.5996 J/mol / 1000 = 13.5046 kJ/mol
Therefore, the kinetic energy per mole of gaseous NH3 molecules at 366.6 Kelvin is approximately 13.5046 kJ/mol.
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pendent Practice
Practice Using Operations with Scientific Notation
olve the problems.
A national restaurant chain has 2.1 x 105 managers. Each manager makes $39,000 per year.
How much does the restaurant chain spend on mangers each year?
A 2.49 X 108 dollars
B
8.19 X 10⁹ dollars
C
6x 10⁹ dollars
D 8.19 X 1020 dollars
The correct option: B. 8.19 X 10⁹ dollars. Thus, spending on mangers each year by national restaurant chain is 8.19 X 10⁹ dollars.
Explain about the Scientific Notation:With scientific notation, one can express extremely big or extremely small values. When one number between 1 and 10 was multiplied by a power of 10, the result is represented in scientific notation.
Exponents but a base of 10 are used in this technique to write very big or extremely tiny numbers. You can simplify arithmetic processes and record quantities that are difficult to represent in decimal form by becoming familiar with writing in scientific notation.
Given data:
Number of managers in national restaurant = 2.1 x 10⁵ .
Earning of each manager = $39,000 per year.
Spending on mangers each year = Number of managers in national restaurant x Earning of each manager
Spending on mangers each year = 2.1 x 10⁵ x 39,000
Spending on mangers each year = 8.19 X 10⁹ dollars
Thus, spending on mangers each year by national restaurant chain is 8.19 X 10⁹ dollars.
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Complete question:
A national restaurant chain has 2.1 x 10⁵ managers. Each manager makes $39,000 per year. How much does the restaurant chain spend on mangers each year?
A. 2.49 X 10⁸ dollars
B. 8.19 X 10⁹ dollars
C. 6 x 10⁹ dollars
D. 8.19 X 10²⁰ dollars
13 - (19,500 - (672 x 29)] =
Answer:
1
Step-by-step explanation:
im know it ive dine the problem 10 times
Approximately how much fabric of each color will be needed to make a single parachute canopy? 88. 5 ft 88. 5 ft² 265. 5 ft 265. 5 ft².
The 88.5 ft² fabric of each color will be needed to make a single parachute canopy.
Given
The canopy of a parachute is a semicircle with a radius of 13 feet.
A company that is making parachutes for a Fourth of July celebration wants each parachute to be made from equal parts of red, white, and blue fabric.
What is the surface area of a semicircle?The area of a semicircle is half of the area of the circle.
The first step is the surface area of the semicircle.
The surface area of a circle is;
\(\rm Surface \ area=\pi r^2\\\\Surface \ area=3.14 \times 13^2\\\\Surface \ area =530.929\)
Since the semicircle, we divide this by 2.
S.A of the parachute is;
\(\rm =\dfrac{530.929}{2}\\\\= 265.4645\)
To get the fabric is needed for each color we divide this by 3.
The fabric needed for each color is;
\(\rm= \dfrac{265.4645}{3}\\\\=88.5\)
Hence, the 88.5 ft² fabric of each color will be needed to make a single parachute canopy.
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Which expression represents the measure of segment RS?a. 7x – 3b. 7x + 5c. x + 5d. x – 3
Option C better choice, the measurement of the line segment RS is equal to x+5.which is difference of segment TR and TS.
A line segment is a part of a straight line that is bounded by two distinct end points and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints.
There is a point S between the line segments T and R, measure of segment TR is 4x+1 and the measure of segment TS is 3x-4.
we shall find out the measure of RS.
so, length of RS is equal to difference of TR and TS.
Mathematically,
RS=TR-TS
RS=(4x+1) -(3x-4)
RS=4x+1-3x+4
RS=x+5
Hence the length of RS is equal to x+5.
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How can the equation 3*= 4x + 1 be used to check any solutions indicated by the graphs of y= f(x) and y= g(x)?
Answer:
shook
Step-by-step explanation:
The x-coordinate of each point where the graphs of y = f(x) and y = g(x) intersect corresponds to a solution of the equation. To check the solutions, first substitute x = 0 and then substitute x = 2 into the equation and verify the statement is true when x equals each of those values.
dining room sets consisting of arm chairs, side chairs and a table are sold at a local furniture store. A set with 2 armchairs, 4 side chairs, and a table is sold for $940. A set with 4 side chairs and a table is sold for $740 A set with 4 armchairs 2 side chairs and a table is sold for 1020 what are the individual prices of an armchair, side chair and a table How many would you spend a budget of $900 to buy a dining room set
Answer:
268$
I did math for it it should be okay
2.1 Convert the capacity of a 5 litre tin to its volume in cm.
NOTE: 1 litre = 1000 cm3
Answer:
5000 cm3
ps:im not that sure but try it
Step-by-step explanation:
1 litre = 1000 cm3
5 litre=5000
The volume of the 5 litre tin is 5000 cm³.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
We have to convert the capacity of a 5 litre tin to its volume in cm
Given that 1 litre is equal to 1000 cm³.
Therefore, 5 litres is equal to 5 times of thousand
5 litres × 1000 cm³/litre
= 5000 cm³
Therefore, the volume of the 5 litre tin is 5000 cm³.
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The probability that an Oxnard University student is carrying a backpack is .70. If 10 students are observed at random, what is the probability that fewer than 7 will be carrying backpacks? Assume the binomial probability distribution is applicable.
The probability that fewer than 7 out of 10 students will be carrying backpacks is approximately 0.00736, or 0.736%.
To solve this problem, we can use the binomial probability distribution. The probability distribution for a binomial random variable is given by:
\(\[P(X=k) = \binom{n}{k} p^k (1-p)^{n-k}\]\)
Where:
- \(\(P(X=k)\)\) is the probability of getting exactly \(\(k\)\) successes
- \(\(n\)\) is the number of trials
- \(\(p\)\) is the probability of success in a single trial
- \(\(k\)\) is the number of successes
In this case, the probability that an Oxnard University student is carrying a backpack is \(\(p = 0.70\)\). We want to find the probability that fewer than 7 out of 10 students will be carrying backpacks, which can be expressed as:
\(\[P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)\]\)
If we assume that the probability (p) of a student carrying a backpack is 0.70, we can proceed to calculate the probability that fewer than 7 out of 10 students will be carrying backpacks.
Let's substitute the given value of p into the individual probabilities and calculate them:
\(\[P(X=0) = \binom{10}{0} \cdot (0.70)^0 \cdot (1-0.70)^{10-0}\]\)
\(\[P(X=1) = \binom{10}{1} \cdot (0.70)^1 \cdot (1-0.70)^{10-1}\]\)
\(\[P(X=2) = \binom{10}{2} \cdot (0.70)^2 \cdot (1-0.70)^{10-2}\]\)
\(\[P(X=3) = \binom{10}{3} \cdot (0.70)^3 \cdot (1-0.70)^{10-3}\]\)
\(\[P(X=4) = \binom{10}{4} \cdot (0.70)^4 \cdot (1-0.70)^{10-4}\]\)
\(\[P(X=5) = \binom{10}{5} \cdot (0.70)^5 \cdot (1-0.70)^{10-5}\]\)
\(\[P(X=6) = \binom{10}{6} \cdot (0.70)^6 \cdot (1-0.70)^{10-6}\]\)
Now, let's calculate each of these probabilities:
\(\[P(X=0) = \binom{10}{0} \cdot (0.70)^0 \cdot (1-0.70)^{10-0} = 0.0000001\]\)
\(\[P(X=1) = \binom{10}{1} \cdot (0.70)^1 \cdot (1-0.70)^{10-1} = 0.0000015\]\)
\(\[P(X=2) = \binom{10}{2} \cdot (0.70)^2 \cdot (1-0.70)^{10-2} = 0.0000151\]\)
\(\[P(X=3) = \binom{10}{3} \cdot (0.70)^3 \cdot (1-0.70)^{10-3} = 0.000105\]\)
\(\[P(X=4) = \binom{10}{4} \cdot (0.70)^4 \cdot (1-0.70)^{10-4} = 0.000489\]\)
\(\[P(X=5) = \binom{10}{5} \cdot (0.70)^5 \cdot (1-0.70)^{10-5} = 0.00182\]\)
\(\[P(X=6) = \binom{10}{6} \cdot (0.70)^6 \cdot (1-0.70)^{10-6} = 0.00534\]\)
Finally, we can substitute these probabilities into the formula and calculate the probability that fewer than 7 out of 10 students will be carrying backpacks:
\(\[P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)\]\)
\(\[P(X < 7) = 0.0000001 + 0.0000015 + 0.0000151 + 0.000105 + 0.000489 + 0.00182 + 0.00534\]\)
Evaluating this expression:
\(\[P(X < 7) \approx 0.00736\]\)
Therefore, the probability that fewer than 7 out of 10 students will be carrying backpacks is approximately 0.00736, or 0.736%.
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31. Mean Grade-Point Average Assume that all grade-point averages are to be standardized on a scale between 0 and 4. How many grade-point averages must be obtained so that the sample mean is within 0.01 of the population mean
In this case, since we want the sample mean to be within 0.01 of the population mean, the margin of error is 0.01.
To determine the number of grade-point averages needed to have a sample mean within 0.01 of the population mean, we can use the formula for the margin of error. The margin of error is calculated by dividing the standard deviation of the population by the square root of the sample size, multiplied by a constant value.
To find the required sample size, we need to know the standard deviation of the population. However, since it is not provided, we cannot calculate the exact number of grade-point averages needed.
If you have the standard deviation of the population, you can use the following formula to calculate the sample size:
Sample size = (Z * standard deviation) / margin of error
Where Z is the constant value that corresponds to the desired level of confidence. For example, if you want a 95% confidence level, Z would be approximately 1.96.
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I don’t understand 15 through 18
Answer:
Step-by-step explanation:
15. True
16. False
17. True
18. True
Answer:
15 )true because they are opposite angles.
16) false 2 and 4 are opposite angles so should be the same value.
17 true ) because angle 4+1=180.
18 true) because the two angles make a 180 degree.
i need help fast please
Answer:
The answer is 540 mm^3
Step-by-step explanation:
using v= BH
v= 30×18
v= 540mm^3
pls like and follow, hope this helps.:-):-)
Which of the following best described the line that is passing through the ordered pairs given below? Select all that apply
(-4, 6) & (-4, 1)
The slope of the line is undefined.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-4, 6) and (-4, 1)
Now,
Since, The equation of line passes through the points (-4, 6) and (-4, 1)
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 6) / (-4 - (-3))
m = - 5 / 0
m = ∞
Thus, The slope of the line is undefined.
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Please solve for x.................
Answer:
x=1
Step-by-step explanation:
3(x + 4) = 5(x + 2)
3x+12=5x+10
2x=2
x=1
Answer:
X=1
Step-by-step explanation:
3/x+2 = 5/x+4
3/(1+2) = 5/(1+4)
3/3 = 5/5
3/3=1
5/5=1
The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
O slope: 15, y-intercept: 10
O slope: 10, y-intercept: 15
Oslope: 5, y-intercept: 25
O slope: 25, y-intercept: 5
Find the measure of angle 1
hurry
Answer:
112 degrees
Step-by-step explanation:
This is a quadrilateral, meaning 4 sides. The sum of the angles of a quadrilateral is 360 degrees. You are given the right angle, or 90 degrees, and the 46 degree angle at the bottom. Since the two lines on either side of the 46 degree angle represent parallelism, angles 1 and 2 are the same.
360 - (90+46) = 224.
224 / 2 = 112.
Answer:
\(m∠1 = 112\)
Step-by-step explanation:
\(m∠1 = m∠2\)
\(m∠1 + m∠2 + 90 + 46 = 360\)
\(m∠1 +m ∠2 + 136 = 360\)
\(m∠1 + m∠2 = 360 - 136\)
\(m∠1 + m∠2 = 224\)
\(m∠1 = \frac{224}{2} \)
\(m∠1 = 112\)
\(m∠2 = \frac{224}{2} \)
\(m∠2 =112\)
Which situation relates to the graph
A) an ice cream shop sells one scoops of ice cream for two dollars of each additional scoop cost one dollar
B) an ice cream shop sells two scoops of ice cream for two dollars in each additional scoop cost one dollar
C) an ice cream shop sells two scoops of ice cream for three dollars in each additional scoop cost one dollar
D) an ice cream shop sells to scoops ice cream for three dollars each additional scoop cost three dollars
PLEASE HELP ME
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
it is trust me
if you answer i will givie you brainliest
in general, the strictest standards with the lowest acceptable levels are the
Answer:
Step-by-step explanation:
are the what???
john and jane go rock-climbing together. john climbs a height of $(x 5)$ miles in $(x-1)$ hours and jane climbs a height of $(x 11)$ miles in $(x 1)$ hours. if john and jane were climbing at the same speed, what must have been their speed, in miles per hour?
Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.
Distance covered by John = Distance covered by Jane
Therefore, \($(x + 5) = (x + 11)$\)
Thus, x = 6
Now, we need to find the speed of both, which is given by the formulae:
Speed = Distance / Time
So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph
Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)
Speed of Jane = \($17 / 7$\) mph
Since both have to be equal, Speed of John = Speed of Jane Therefore,
\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)
Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph
Speed of Jane = \($7 / 3$\) mph
Thus, their speed was \($7 / 3$\) mph.
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Find the perimeter of the trapezoid. PLEAASSSSSEEEEE HELLLLLLPPPPPP MEEEEEEE!!!!!!!!!!!
Answer:
48
Step-by-step explanation:
a $300 trampoline is 25% off . what is the sale price of the trampoline ?
Answer: The sale price would be 225.00
The selling price of the trampoline will be $225.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
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 there is a 25% discount on the price $300. The discounted price will be calculated as:-
Discounted price = 300 x 0.75
Discounted price = $225
Therefore, the selling price of the trampoline will be $225.
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Image shows line WS and line KV as parallel. Line RT intersects line WS and line KV forming right angles.
Line WS is parallel to line KV. Line RT is perpendicular to line KV. Explain the relationship of line RT to line WS. Provide at least one reason to support your answer.
Answer:
RT is perpendicular to WS because when parallel lines are cut by a transversal, the corresponding angles are equal.
Step-by-step explanation:
Please help me with this homework
additive inverse.
Step-by-step explanation:
Due to my beliefs considering -8 + 0 = -8 that is considerd additive inverse.
PLEASE ANSWER ALL 3.
Determine whether x=3, x=4, or x=5 is the solution.
42–x=37
Answer: x=5
Explanation:
Rearrange the equation
42-x=37 is the same as 37+x=42
Isolate the variable x by subtracting 37 from both sides
37-37 cancels out and 42-37 is 5
X=5 is what you’re left with
the residual is defined as the difference between the actual and predicted, or fitted values of the response variable. group of answer choices false true
The Residual is defined as the difference between the actual and predicted, or fitted values of the response variable. This statement is true.
Linear regression is a statistical tool that determines how well a straight line fits a set of paired data. The straight line that best fits that data is called the least squares regression line. This line can be used in a number of ways. One of these uses is to estimate the value of a response variable for a given value of an explanatory variable. Related to this idea is that of a residual.
Residuals are obtained by performing subtraction. All that we must do is to subtract the predicted value of y from the observed value of y for a particular x. The result is called a residual.
The formula for residuals is straightforward:
Residual = observed y – predicted y
It is important to note that the predicted value comes from our regression line. The observed value comes from our data set.
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