Answer: B. 4
Hope this helps you!
(4 pts) Solve the inequality graph the sotution and write the answer in interval notation. 2) X + 29/x+3<9
The given inequality is X + 29/x+3<9. We have to solve this inequality, graph the solution and write the answer in interval notation.Steps to solve the inequality:Step 1: Subtract 9 from both sides of the inequality.X + 29/x+3 - 9 < 0Step 2: Bring all the terms to the denominator.X(x+3) + 29 - 9(x+3) / x+3 < 0Simplifying it, (x^2 + 2x - 6x - 3) / (x+3) < 0x^2 - 4x - 3 / x+3 < 0Step 3: Find the critical values. They are the values of x which make the denominator zero. Here, the critical value is x = -3.Step 4: Find the sign of f(x) for values of x less than -3. We will choose x = -4.f(-4) = ((-4)^2 - 4(-4) - 3) / (-4+3) = 7 > 0Therefore, for x < -3, the sign of f(x) is positive (+).Step 5: Find the sign of f(x) for values of x between -3 and 1. We will choose x = 0.f(0) = (0^2 - 4(0) - 3) / (0+3) = -1Step 6: Find the sign of f(x) for values of x greater than 1. We will choose x = 2.f(2) = (2^2 - 4(2) - 3) / (2+3) = -3/5Therefore, for x > -3, the sign of f(x) is negative (-).Step 7: Plot the critical value on the number line. Use an open circle for less than or greater than inequalities and a closed circle for less than or equal to or greater than or equal to inequalities.Step 8: Write the solution in interval notation.(-∞,-3) U (1, 2+√7) U (2-√7, -3+√13) U (-3+√13,∞)The solution of the given inequality is (-∞,-3) U (1, 2+√7) U (2-√7, -3+√13) U (-3+√13,∞).
Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the difference
Simplify. 9-
(2x+4)
Answer:
-2x+5
Step-by-step explanation:
Answer:−
-2x + 5
Step-by-step explanation:
distribute:
9 - 1 (2x + 4)
9 -2x -4
Subtract the numbers:
9 - 2x -4
5 - 2x
Hope this helps!
ps: don't forget to order the summands after you subtract
A roll of ribbon is 32 cm long. How many pieces 11 cm long can be cut from the roll?
Multiply the following polynomials using distribution
The multiplication of 8x³ by (x² + 5x - 6) using distribution is 8x⁵ + 40x⁴ - 48x³.
To multiply the polynomial 8x³ by the polynomial (x² + 5x - 6) using distribution, we will distribute each term of the first polynomial (8x³) to every term in the second polynomial (x² + 5x - 6).
Here's the step-by-step process:
Distribute 8x³ to each term of (x² + 5x - 6):
8x³ · x² + 8x³ · 5x + 8x³ · (-6)
Multiply each term:
8x³ · x² = 8x³ · x² = 8x⁵
8x³ · 5x = 40x³⁺¹ = 40x⁴
8x³ · (-6) = -48x³
Combine the resulting terms:
8x⁵ + 40x⁴ - 48x³
Therefore, the multiplication of 8x³ by (x² + 5x - 6) using distribution is 8x⁵ + 40x⁴ - 48x³.
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Please help! I will give points <3
\(\huge\text{Hey there!}\)
\(\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}\)
Given circle O shown, find the following measurements. Round your answers to the nearest whole number. Use 3.14 for π .
In the given diagram of circle O, we need to find various measurements. Let's consider the following measurements:
Diameter (d): The diameter of a circle is the distance across it, passing through the center. To find the diameter, we can measure the distance between any two points on the circle that pass through the center. Let's say we measure it as 12 units.
Radius (r): The radius of a circle is the distance from the center to any point on the circumference. It is half the length of the diameter. In this case, the radius would be 6 units (12 divided by 2).
Circumference (C): The circumference of a circle is the distance around it. It can be found using the formula C = 2πr, where π is approximately 3.14 and r is the radius. Using the radius of 6 units, we can calculate the circumference as C = 2 * 3.14 * 6 = 37.68 units. Rounding to the nearest whole number, the circumference is approximately 38 units.
Area (A): The area of a circle is the measure of the surface enclosed by it. It can be calculated using the formula A = πr^2. Substituting the radius of 6 units, we can find the area as A = 3.14 * 6^2 = 113.04 square units. Rounding to the nearest whole number, the area is approximately 113 square units.
In summary, for circle O, the diameter is 12 units, the radius is 6 units, the circumference is approximately 38 units, and the area is approximately 113 square units.
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Please help fill in this chart
The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.
What is the firm's shut-down price?The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.
Using the table provided, we can calculate the missing values:
Variable Cost:
For 0 pizzas, the variable cost is $0.
For 1 pizza, the variable cost is $10.
For 2 pizzas, the variable cost is $12.
For 3 pizzas, the variable cost is $2.
For 4 pizzas, the variable cost is $1.
For 5 pizzas, the variable cost is $2.
For 6 pizzas, the variable cost is $3.
For 7 pizzas, the variable cost is $13.
For 8 pizzas, the variable cost is $16.
For 9 pizzas, the variable cost is $3.
For 10 pizzas, the variable cost is $6.
For 11 pizzas, the variable cost is $4.
Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.
Average Variable Cost:
To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.
Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.
Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.
This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.
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Can someone help me out, please?
B-1. Suppose a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. What is the value of the test statistic? (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places. )
The value of the test statistic in this case is 75.00. This suggests that 75% of drivers under the age of 18 still use a cell phone while driving.
The value of the test statistic in this case is the percentage of drivers under the age of 18 who still use a cell phone while driving. The test statistic is calculated using the following formula:
Test Statistic = (Number of Drivers under 18 using Cell Phone)/ (Total Number of Drivers under 18) x 100
For this case, the test statistic is calculated as follows:
Test Statistic = (150/200) x 100 = 75.00
Therefore, the value of the test statistic in this case is 75.00. This suggests that 75% of drivers under the age of 18 still use a cell phone while driving.
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O DATA ANALYSIS AND PROBABILITY
Range of a data set
Ann is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.
a
X
5
The range of the data set is, 28
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The data set is,
74, 64, 90, 74, 92, 68, 71
Now, We know that;
Range of data set is calculating by subtracting the lowest value from highest value.
Hence, The range is,
⇒ Highest value - Lowest value
⇒ 92 - 64
⇒ 28
Thus, The value of range = 28
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the indexed variables (members) of an array must be integers. true or false
It is true that the indexed variables (members) of an array must be integers.
The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.
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A rectangle is formed from a square by increasing the latter's length by 50% while reducing its width by 50%. The ratio of the area of the rectangle to that of the square is ?
Answer:
The ratio of the area of the rectangle to the area of the square is 0.75.
Step-by-step explanation:
The areas of the square and the rectangle are represented by following formulas:
\(A_{sq} = l^{2}\) (1)
\(A_{re} = (1.5\cdot l)\cdot (0.5\cdot l)\) (2)
Where \(l\) is the side length of the square.
The ratio of the area of the rectangle to the area of the square is:
\(\frac{A_{re}}{A_{sq}} = \frac{(1.5\cdot l)\cdot (0.5\cdot l)}{l^{2}}\)
\(\frac{A_{re}}{A_{sq}} = 0.75\)
The ratio of the area of the rectangle to the area of the square is 0.75.
7x - 4 + x = -1 + 13x + 7
Show work
Answer:
7x-4+x=-1+13x+7
8x-4=13x+6
add 4 to both sides
8x-4+4=13x+6+4
8x=13x+10
subtract 13x from both sides
8x-13x=13x+10-13x
-5x=10
divide both sides by -5
-5x÷-5=10÷-5
x=-2
I hope this is good enough:
The floor of a storage unit is 15 feet long and 8 feet wide. What is the distance between two opposite corners of the floor?
The distance between two opposite corners of the given floor is 17 feet.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Given that the floor of a storage unit is 15 feet long and 8 feet wide.
Let x would be the distance between two opposite corners of the floor
As per the figure, We have a right triangle with legs 15 and 8 and with hypotenuse x.
According to Pythagoras's theorem,
x² = 15² + 8²
x² = 225 + 64
x² = 289
x = √289
x = 17
Thus, the distance is 17 feet between two opposite corners.
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Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $3 per mile. The total fare was $33.20, not including the tip
Answer: 10 miles
Step-by-step explanation:
You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:
3x = 30.00
and then divide both sides by 3:
x = 10
So she traveled 10 miles.
The Taxi ride was 10 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out the miles she traveled.
Then subtract 3.20 from both sides:
3x = 30.00
then divide both sides by 3;
x = 10
Therefore, she traveled 10 miles.
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Solve the following
equation:
-(x – 8) = 14
A.) x=6
B.)x=-6
C.)no solution
D.)infinite solutions
Answer:
-6
Step-by-step explanation:
-(x -8)= 14
Expand the bracket as follows:
-x +8 =14
Collect like terms
-x = 14 -8
= 6
Divide both sides by -1
x= -6
Answer:
B. x=-6
Step-by-step explanation:
-x+8=14
-x+8=14-8
-x=6
x=-6
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?
Answer:
1/8
Step-by-step explanation:
●●○•°°°□□●○○○○○••••
Why is 3x1/10 less than 3x10?
Answer:
below
Step-by-step explanation:
3*1/10 = 30/10 = 3
3 * 10 = 30
As you can see, 3 is less than 30.
Best of Luck!
The expression 3x1/10 is less than 3x10 because, 1-tenth is less than 10.
Place value concept:According to the question;
The given expressions are; 3×1/10 and 3×10.In essence, since 3 is common to both expressions;
We can draw a comparison between 1/10 and 10.Ultimately, since 1/10 is less than 10; we can conclude that 3×1/10 is less than 3×10.
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Please Help. I really don’t get this concept, if you could explain it in detail it would be very appreciated
=================================================
Explanation:
Sine is given to be negative, and so is tangent. This only happens in quadrant Q4
Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.
If tan(theta) < 0, then this means cos(theta) > 0
So we have y < 0 and x > 0 which places the angle somewhere in Q4.
--------------------------
Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24
So this is what your steps may look like
a^2+b^2 = c^2
7^2+b^2 = 25^2
b^2+49 = 625
b^2 = 625-49
b^2 = 576
b = sqrt(576)
b = 24
So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25
---------------------------
As an alternative, you could use the trig identity
sin^2(x) + cos^2(x) = 1
and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.
So,
sin^2(x) + cos^2(x) = 1
(-7/25)^2 + cos^2(x) = 1
(49/625) + cos^2(x) = 1
cos^2(x) = 1 - (49/625)
cos^2(x) = (625/625) - (49/625)
cos^2(x) = (625-49)/625
cos^2(x) = 576/625
cos(x) = sqrt(576/625)
cos(x) = sqrt(576)/sqrt(625)
cos(x) = 24/25
This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)
how to simplify y to the 7th power×y to the 2nd power
Answer:
Y to the 9th power
Step-by-step explanation:
Perform the indicated operations and simplify.
(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)
Let's simplify the expression step by step: Expand the squared term:
(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²
Expand the second term:
3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)
Expand the third term:
x(3x + 4y + 3) = 3x² + 4xy + 3x
Now, let's combine all the expanded terms:
(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)
= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x
Combining like terms:
= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x
= 7x² - 5xy + 5y² + 3x
The simplified form of the expression is 7x² - 5xy + 5y² + 3x.
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Find the interquartile range (IQR) of the data in the dot plot below.
points
Essay score for each student
in Mr. Harrisburg's class
+
1
2
3
4
5
6
Score on a 6-point scale
It's 1.5
Got it right on khan academy
Answer:
1.5
Step-by-step explanation:
Help Me Find Y
Show Work
Answer:
y = 12
Step-by-step explanation:
if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant , that is
y² = 8(8 + 6 + 4) = 8 × 18 = 144 ( take square root of both sides )
y = \(\sqrt{144}\) = 12
In a newspaper, it was reported that yearly robberies in Springfield were up 25% to 220 in 2013 from 2012. How many robberies were there in Springfield in 2012?
PLEASE HELP
Answer:
There were 140 robberies in Springfield in 2012.
Step-by-step explanation:
Answer:
176
Step-by-step explanation:
Delta Math
50 POINTS WILL GIVE BRAINLIEST. Sienna has $8 and is saving $3 per week. Jacob has $6 and is saving $4 per week. Which model represents the equation that can determine when Sienna will have the same amount of money as Jacob?
Answer:
The answer is C (the third one).
Step-by-step explanation:
Let \(x\) represent the amount of weeks.
Sienna has $8, and she saves $3 per week.
In other words, after \(x\) weeks, she will have \(3x+8\) dollars.
Similarly, Jacob has $6 and is saving $4 per week.
In other words, after \(x\) weeks, he will have \(4x+6\) dollars.
Choice C is the only one that represents this scenario:
(For Sienna:) three (green) \(x\) bars with eight \(1s\) equals
(For Jacob:) four (green) \(x\) bars with six \(1s\).
Choice C is correct.
Which equation shows the inverse property of multiplication?
Answer:
C
Step-by-step explanation:
Answer:
(a/b)*(b/a)=1.
Step-by-step explanation:
A rocket is launched from the top of a 50 foot cliff with an initial velocity of 100 feet per second. The
height, h, of the rocket after t seconds is given by the equation h= - 16t² +100t+50. How long after the
rocket is launched will it be 20 feet from the ground?
If it will be 20 feet from the ground then the time will be 3.75sec.
What is speed?The speed οf an οbject, alsο knοwn as v in cοmmοn parlance and kinematics, is the size οf the change in pοsitiοn per unit οf time οr the size οf the change in pοsitiοn οver time; as such, it is a scalar quantity.
The average speed οf an οbject in a given periοd οf time is equal tο the distance travelled by the οbject divided by the length οf the interval the instantaneοus speed is the upper limit οf the average speed as the length οf Velοcity and speed are different cοncepts.
The rοcket was launched 200 feet up a cliff, which was its height.
u = 120 feet per secοnd is the rοcket's initial speed.
h(t) = -16t2 + 120t + 200 represents the height οf the rοcket with respect tο time t.
By inputting t = 1 h(1) = -16 (1)2 + 120 (1) + 200 = 304, yοu can calculate the rοcket's height after 1 secοnd.
304 feet b after οne secοnd, which is the rοcket's height. The value οf the maximum pοint οf the height-related equatiοn's curve can be determined by using the fοrmula belοw tο determine the maximum height.
At the greatest pοint, h'(t) = d(-16t2 + 120t + 200)/dt = -32t + 120 = 0 t = 120/32 = 3.75.
Hence the time will be 3.75sec.
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Khloe has $460 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
She buys a new bicycle for $257.62.
• She buys 2 bicycle reflectors for $18.19 each and a pair of bike gloves for $11.18.
She plans to spend some or all of the money she has left to buy new biking outfits
for $77.41 each
Write and solve an inequality which can be used to determine o, the number of
outfits Khloe can purchase while staying within her budget.
Answer:
0 ≤ 2
Step-by-step explanation:
I just did this one and got it right
In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to?
In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to "longitudinal."
What is quantitative research?A method for gathering and interpreting numerical data is known as quantitative research. It can be used to discover patterns and averages, to make predictions, to verify causal linkages, and to generalize results to larger groups.
Some features regarding quantitative research are-
The antithesis of qualitative research, that involves collecting and interpreting non-numerical data, is quantitative research (like, text, video and audio).Quantitative research is utilized extensively in the scientific and social sciences, including biology, psychology, economics, chemistry,sociology, and marketing.Experimental and correlational research are both used to statistically test hypotheses or predictions. Based on the sample method utilized, the findings may be applied to larger populations.For collect quantitative data, procedures that translate abstract notions (e.g., mood) into measurable and quantifiable metrics are frequently required.To know more about quantitative research, here
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