Answer:
38
Step-by-step explanation:
Range= highest number - lowest number
Range= 43-5
=38
Step-by-step explanation:
Step 1: Find the highest number and the lowest number
Highest Number → 43
Lowest Number → 5
Step 2: Find the range by subtract the lowest number from the highest number
Highest Number - Lowest Number
43 - 5
38
Answer: The range is 38
Factor the equations to form an equivalent equation: 54 - 18
The factorization of equations 54 - 18 is 18(3 - 1). The value is 36.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
The number given is illustrated as:
54 - 18.
It should be noted that the common factor between the numbers is 18. This will be:
54 - 18 = 18(3 - 1)
The value will be:
= 18(3 - 1)
= 18(2)
= 36
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Classwork Topic: Solve problems 25 May 2023 1. Jessica and Melissa shared 12 pieces of dried pears. Jessica ate = of the dried pears! Melissa ate . How Pieces did they eat in all? What fraction of the dried eat altogether? many pears did they 2. There were is children playing in the park. One third of the children went home. How many children stayed in the park?
Apologies, but your questions seem to have errors and incomplete information.
For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.
For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.
Please provide complete and accurate information for a precise answer.
ax-5y = -2
3x+4y = b
How many bacteria are in the Petri dish after 120 minutes ?
Answer:
D. \(2^9\)
Step-by-step explanation:
\(2^6*2^3 = 2^9\)
We can just add the exponents together.
If it were continued another 120 minutes past this, it would be
\(2^9*2^3 = 2^1^2\)
What is an equation of the line that passes through the points (0, -3) and (0, -8)?
Answer:
Step-by-step explanation:
here is a step-by-step explanation for finding the equation of the line that passes through the points (0, -3) and (0, -8):
Identify the two points that the line passes through: (0, -3) and (0, -8)
Determine the slope of the line: The slope of a line is given by the formula "rise over run," or (y2 - y1) / (x2 - x1). However, in this case, the line is vertical and has an undefined slope.
Write the equation of the line in slope-intercept form: y = mx + b, where "m" is the slope and "b" is the y-intercept. Since the slope of the line is undefined, the equation of the line cannot be written in slope-intercept form.
Write the equation of the line in point-slope form: y - y1 = m(x - x1), where "m" is the slope and (x1, y1) is a point on the line. Since the slope of the line is undefined, the equation of the line cannot be written in point-slope form.
Write the equation of the line as an x-intercept form: The x-intercept form of a line is given by the equation x = a, where "a" is the x-coordinate of the point that the line passes through. In this case, the line passes through the point (0, -3) and (0, -8), so the equation of the line is x = 0.
So, the equation of the line that passes through the points (0, -3) and (0, -8) is x = 0.
What is the name for a mathematical phrase? O A. An inequality OB. An operation OC. An expression OD. An equation
A school sports team sold candy bars to raise money for new uniforms. The table shows the amount of candy sold each week for three weeks.
Week Amount Sold
Week 1. 32%
Week 2. 8/25
Week 3. 17/51
For which weeks did the team sell the same amount of candy bars?
"A school sports team sold candy bars to raise money for new uniforms.", The team sold the same amount of candy bars at
Week 3. 17/51 or 0.33 Option C.
This is further explained below.
For which weeks did the team sell the same amount of candy bars?Generally, to give up something of worth in exchange for money or another commodity of value My brother bought the bicycle from him so that he could put it up for sale. The shop is a retailer of footwear. to be marketed or given a price The new product is doing quite well in the marketplace. Each one of them retails for one dollar.
In conclusion, The week with the highest percentage of sales is week three as
17/51>>8/25>>32%
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What are the important variables in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
OA. p for points, m for multiple choice
OB. s for short answer, t for test
OC. m for multiple choice, s for short answer
OD. t for test, q for questions
The important variables are the two types of test questions which can be represented as :
m for multiple choice, s for short answerVariables are used to represent unknown values which could be worked out in a mathematical expression or problem.
The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer
Therefore, the correct option is C. m for multiple choice, s for short answer
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2*3^20-5*3^19/(-9)^9
The given expression is:
(23^20-53^19)/(-9)^9
This is a mathematical expression that involves multiple operations. The first step is to understand the order of operations, or PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction)
Parentheses: The expression does not contain any parentheses, so we can move on to the next step.
Exponents: The first term, 23^20, contains an exponent. The exponent operator (^) has higher precedence than the multiplication operator (), so we will simplify the exponent first. 3^20 is equal to 3 raised to the power of 20, which is equal to 3 * 3 * 3 * ... * 3 (20 times) = 59,049. Therefore, the first term is now 2 * 59,049.
The second term 5*3^19 also contains an exponent, so we simplify it in the same way as the first term. 3^19 is equal to 3 * 3 * 3 * ... * 3 (19 times) = 7,29,043. Therefore, the second term is now 5 * 7,29,043.
Multiplication and Division: After simplifying the exponents, we can see that the expression contains both multiplication and division. Since division has the same precedence as multiplication, we can simplify the expression from left to right.
The first term 2 * 59,049 is the product of 2 and 59,049. Multiplying these two numbers gives us 118,098.
The second term 5 * 7,29,043 is the product of 5 and 7,29,043. Multiplying these two numbers gives us 36,45,215.
The third term is the division of two terms. We have (23^20-53^19) / (-9)^9
Subtraction : Now we have the subtraction of two terms (118,098 - 36,45,215)
Now we have the division of two terms (-35,27,117) / (-9)^9. In this step, we are dividing the subtraction with -9 raised to the power of 9
The final step is to simplify the division. -9^9 is equal to -9 * -9 * -9 * -9 * -9 * -9 * -9 * -9 * -9 = -3486784401.
So the final expression is -35,27,117/-3486784401.
The expression is a very large negative number divided by a very large negative number, which results in a very small positive number.
how do i check 11z-5=9z+7
Answer:
z= 6
Step-by-step explanation:
You check it by plugging the value, z, into the equation.
11(6)-5=9(6)+7
61=61
Answer:
z=6
Step-by-step explanation:
11z-9z=7+5
2z=12
z=6
In which quadrants is cosine positive?
A. I and II
B. I and III
C. II and IV
D. I and IV
D. I and IV are the quadrants the cosine function is positive
To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.
The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.
Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.
Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.
Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.
It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.
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m∠3 + m∠6 =180° True or False?
Answer:
False. Because it is the answer.
Answer:
false
Step-by-step explanation:
I agree with the first guy
The function g(x) = x^3 has the point(-3, -27) on its graph. Determine g(3) without using substitution. What is the output based on the eve/odd nature of the function?
-27
27
not enough information
Answer:
27
Step-by-step explanation:
Any positive integer to 3rd power will have positive answer.
Odd functions with number next to x^3 that is positive are increasing from left to right and thay also have a rotational symmetry with respect to the origin.Whe you put this together it's clear that the answer is 27
3. - 15 x + 30 2 -3
Write the equation in slope-intercept form
Answer:
Rewrite the numbers. this isn't an equation
3/8×1/3×3/4=?
What is is the answer???
The exact form is: 3/32
And the decimal form is: 0.09375
The wheel on a scooter completes 124 revolutions and travels 22.4 meters. What is the diameter of the wheel in mm? Use 3.14 for pi and round to the nearest whole millimeter.
If wheel on a scooter completes 124 revolutions and travels 22.4 meters then diameter of the wheel is 57 mm
Each revolution of the wheel covers a distance equal to the circumference of the wheel.
The diameter of the wheel "d".
The distance covered in 124 revolutions is:
distance = 124 x circumference
= 124 x pi x d
= 124 x 3.14 x d
We know that this distance is equal to 22.4 meters, so we can set up an equation:
124 x 3.14 x d = 22.4
Simplifying and solving for d:
d = 22.4 / (124 x 3.14)
d = 0.057 meters
As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters
d = 57 millimeters
Therefore, the diameter of the wheel is approximately 57 mm.
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If Z varies inversely as w, and z=15 when w=4, find z when w=10
\(\\ \sf\longmapsto z1w2=z2w1\)
\(\\ \sf\longmapsto 15(10)=4z_2\)
\(\\ \sf\longmapsto 4z_2=150\)
\(\\ \sf\longmapsto z_2\approx 38\)
⟼4z
jshsujsjajajenxjnxjde
⟼z
2
≈38
A plan for a park has a rectangular plot of wild flowers that needs to be enclosed by 54 feet of fencing. Only three sides need to be enclosed because one side is bordered by the parking lot. use Desmos to get your answers. 1. What is the largest area possible for the garden? DO NOT ROUND YOUR ANSWER. ____ squared feet2. What width will produce the maximum area? ____ feet3. What is the length of the garden that will produce the maximum area?
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
a) What is the largest area possible for the garden?
Now, let the length of the rectangular plot be 54 -2x,
and the width of the rectangular plot be x,
so that:
\(\begin{gathered} \text{Area = (54 -2x) x = 54 x -2x}^2 \\ \frac{dA}{dx}=\text{ 54 - 4x = 0} \\ We\text{ have that:} \\ 54\text{ = 4x } \\ \text{Divide both sides by 4, we have that:} \\ \text{x = }\frac{54}{4} \\ \text{x = 13. 5} \end{gathered}\)Then, the largest area possible for the garden will be:
\(\text{Area = 54x -2x}^2=54(13.5)-2(13.5)^2=729-364.5=364.5ft^2\)b) What width will produce the maximum area?
\(Width,\text{ x = 13. 5 fe}et\)c) The length of the garden that will produce the maximum area:
\(\text{Length = 54 - 2x = 54 - 2( 13. 5) = 54 -27 = 27 fe}et\)In track, one runner ran 16 laps. Another runner ran 8 more laps than the first. Each lap is a quarter of a kilometer. How many kilometers did the second runner run?
The second runner ran 6 kilometers.
A kilometer is a unit of length that's equal to 1,000 meters. So we can say that 1 kilometer = 1,000 meters.
A quarter of 1,000 is 250, so 250 meters is equal to a quarter of a kilometer. And 750 meters would be equal to three-quarters of a kilometer.
The first runner ran 16 laps, and since each lap is a quarter of a kilometer, the first runner ran 16 * 1/4 = 4 kilometers.
The second runner ran 8 more laps than the first runner, so the second runner ran 16 + 8 = 24 laps.
Since each lap is a quarter of a kilometer, the second runner ran 24 * 1/4 = 6 kilometers.
Therefore, the second runner ran 6 kilometers.
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can anyone help me with this question?
Answer:
(-1, -2)
Step-by-step explanation:
Rotating clockwise 90 degrees will result in (x,y) becoming (y, -x)
so this becomes (-1, - 2)
Answer: i couldn't find an answer
Step-by-step explanation: i couldn't find the answer anywhere and im in 4th grade so sorry
Match each step with the correct ordered description for how to construct a copy of an angle. (There are 10 steps)
A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.
The steps for constructing a copy of an angle:
Step 1: Draw the angle.
Step 2: Place the center of the protractor on the vertex of the angle.
Step 3: Line up the baseline of the protractor with one of the angle's rays.
Step 4: Read the degree measure where the other ray crosses the protractor.
Step 5: Draw a ray from the vertex of the angle to the right.
Step 6: Use a ruler to mark the same distance on the ray that was just drawn.
Step 7: Draw a ray from the vertex through the point just marked on the ray.
This is the copy of the angle's second ray.
Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.
Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.
Step 10: Draw a ray from the vertex through the point where the two arcs intersect.
This is the copy of the original angle.
Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the
compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.
Draws another arc that intersects the previous arc at a point without adjusting the compass.
Draw a second arc that intersects the first arc at another point, keeping the compass latitude.
Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.
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An engineer is planning a new water pipe installation. The circular pipe has a diameter of d = 20 centimeters. What is the area (A) of the circular cross section of this pipe?
║Give your answer in terms of ⫪║
Answer:
radius=diameter/2=20/2
=10cm/100=0.1m
Area of a circle=πr^2
A=π×0.1×0.1
A=0.01πm^2
graph each equation by using a table -3=5x-y
The graph of the equation is shown below
Graph of linear equations
From the question, we are to graph the given equation
The given equation is
-3 = 5x - y
To graph the equation,
First we will determine the x-intercept and y-intercept
x-intercept
Put y = 0 in the equation
-3 = 5x - 0
-3 = 5x
x = -3/5
y-intercept
Put x = 0 in the equation
-3 = 5(0) - y
-3 = 0 - y
-3 = -y
y = 3
Using the x-intercepts and y-intercepts, we can plot the graph of the equation.
The graph of the equation is shown below
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A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?
Answer:
Step-by-step explanation:
We can do this the easy way and just set up an inequality and let the factoring do the work for us. The inequality will look like this:
\(-16t^2+112t>192\) We will move the constant over and get
\(-16t^2+112t-192>0\) and when you factor this you get that
3 < t < 4
Between 3 and 4 seconds is where the projectile reaches a height higher than 192 feet. With a little more work and some calculus you can find the max height to be 196 feet.
Answer:
its A
Step-by-step explanation:
got it right
look at the image
answer options are:
(a) and (b)
Neither
Only (a)
Only (b)
Answer: (a) only
Step-by-step explanation:
For there to be inverse proportion, the product of x and y must be constant.
will mark brainliest its timed hurry!
Answer:
I think the answer is B?
Step-by-step explanation:
What is 45% of 15.2?
Answer:
45% of 15.2 is 6.84
Answer:
6.84
Step-by-step explanation:
15.2x0.45
Driving speed s-4/s2-9s+20 miles per hour. Distance covers in s-5/4 hours
The value of distance cover is, 1/4 miles.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Driving speed = (s - 4) / (s²-9s+20)
And, Time = (s - 5) / 4
Now, We know that;
⇒ Speed = Distance / Time
⇒ Distance = Speed × Time
Substitute the given values, we get;
⇒ Distance = (s - 4) / (s² - 9s + 20) × (s - 5) / 4
⇒ Distance = (s - 4) / (s² - 5s - 4s + 20) × (s - 5) / 4
⇒ Distance = (s - 4) / (s (s - 5) - 4 (s - 5)) × (s - 5) / 4
⇒ Distance = (s - 4) / (s - 4) (s - 5) × (s - 5) / 4
⇒ Distance = 1/4 miles
Thus, The value of distance cover is, 1/4 miles.
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Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit
The data provided in the table implies that Alonzo's Cycling should produce five or six bikes if it wants to maximize its profits.
What is profit maximization?Profit maximization is a process that businesses go through to make sure the best levels of output and prices are realized in order to maximize their returns. The company modifies important variables like sale price, production costs, and output levels in order to achieve its profit objectives.
This is because the sixth bike is the point at which the marginal revenue matches the marginal cost. The company will make $90 in profit with the sale of its fifth or sixth bike each day. After that, the profit begins to fall with each sale.
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ab=r+d
Solve for a
Please include work
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\(ab = r + d\)
Divide sides b
\( \frac{ab}{b} = \frac{r + d}{b} \\ \)
\(a = \frac{r + d}{b} \\ \)
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