Answer:
all real numbers
Step-by-step explanation:
the arrows show that it is continuing therefore it is all real numbers
what is 3x-11 ≥ 7x + 9
Answer:
The answer is x is greater than or equal to -2
Step-by-step explanation:
I just did the math by hand
Answer: x ≤ -5
Step-by-step explanation:
3x - 11 ≥ 7x + 9
3x ≥ 7x + 20
-4x ≥ 20 when dividing negative numbers, change the sign to the opposite.
x ≤ -5
x/7 ≥ − 6=============
The range of value of x in the inequality x/7 ≥ -6 is x≥ -42
What is inequality?Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.
greater than has the sign >
greater than or equal to has the sign ≥
less than has the sign < and
less than or equal to has ≤
solving the range of value of x in the inequality x/7 ≥- 6
multiply both sides by 7
x ≥ -42
Therefore the range of value of x is x ≥ -42
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Tammy has $20 to spend at the movie theater. She spends $9.50 on a movie ticket. If the snack counter sells bags of candy for $3.50 each, how many bags of candy can Tammy buy with the money she has left?
Answer:3
Step-by-step explanation:
20-9.50=11-3.50
Which equation is equivalent to the given equation?
x2 - 6x
= 8
Answer:
8x
Step-by-step explanation:
Which of the following is a counterexample to the given statement?
The name of every month ends in the letter y.
a. January
b. July
C February
d. December
The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right option is (c) February.
What is a counterexample?
In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.
Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."
Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.
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Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15
administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson
charge more than lan?
Answer: h<2
Step-by-step explanation:
Za and Zb are complementary angles. Za measures 37°. What is the measure of Zb?
Answer:
Zb= 54°
Step-by-step explanation:
Complementary angles add up to 90°
90-37=54
75 percent of what is 105
Order these numbers from least to greatest.
1.4 comma space 1.04 comma space 16 over 10 comma space 1 1 half
Answer:
1.04, 1.4, 1.5 (one and a half), 10, 16
Answer:
1.04, 1.4, 1.5, 1.6
Step-by-step explanation:
1 1 half = 1.5
16 over 10 = 1.6
hope this helps!
please help to solve this problem
factorize:
(1 - a^2) (1 - b^2) + 4ab
Answer:
(ab+a-b+1)(ab-a+b+1)
Step-by-step explanation:
(1 - a²) (1 - b²) + 4ab= 1 -a²-b² +a²b² +4ab = (a²b² +2ab +1 )- (a²-2ab+b²)=(ab+1)² - (a-b)²=(ab+1 +a-b)(ab+1 -a+b)=(ab+a-b+1)(ab-a+b+1)In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys in the new group. What is the percentage decrease for the boys? Find the increase percent of the girls
Answer:
Percentage of new group boys = 30%
Percentage decrease for the boys = 10%
Increase percent of the girls = 10%
Step-by-step explanation:
Given:
Number of children = 15
Ratio (Boys to Girls) = 2 : 3
Number of more girls join = 5
Find:
Percentage of boys in new group
Percentage decrease for the boys
Increase percent of the girls
Computation:
Number of boys = 15[2/5]
Number of boys = 6
Number of girls = 15[3/5]
Number of girls = 9
Percentage of boys = [6 / 15]100
Percentage of boys = 40%
Percentage of girls = [9 / 15]100
Percentage of girls = 60%
New number of students = 15 + 5
New number of students = 20
New number of boys = 6
New number of girls = 9 + 5 = 14
Percentage of new group boys = [6 / 20]100
Percentage of new group boys = 30%
Percentage of new group girls = [14 / 20]100
Percentage of new group girls = 70%
Percentage decrease for the boys = 40% - 30%
Percentage decrease for the boys = 10%
Increase percent of the girls = 70% - 60%
Increase percent of the girls = 10%
Find the slope of the line that passes through the given points.
(-1, 4) and (-3, 8)
Answer:
-2
Step-by-step explanation:
4-8 = -4
-1 - -3 = 2
-4/2= -2
Sandhill Corporation sells three different models of a mosquito "zapper." Model A12 sells for $60 and has unit variable costs of $42. Model B22 sells for $120 and has unit variable costs of $84. Model C124 sells for $480 and has unit variable costs of $360. The sales mix(as a percentage of total units) of the three models is A12,60\%; B22, 15\%; and C124,25%. What is the weighted-average unit contribution margin? (Round answer to 2 decimal places, es. 15.50.)
The weighted-average unit contribution margin is $46.20.
The weighted-average unit contribution margin can be calculated by multiplying the unit contribution margin of each model by its respective sales mix percentage, and then summing up the results.
To find the weighted-average unit contribution margin, we first calculate the unit contribution margin for each model by subtracting the unit variable costs from the selling price:
For Model A12:
Unit contribution margin = Selling price - Unit variable cost
= $60 - $42
= $18
For Model B22:
Unit contribution margin = Selling price - Unit variable cost
= $120 - $84
= $36
For Model C124:
Unit contribution margin = Selling price - Unit variable cost
= $480 - $360
= $120
Next, we multiply each unit contribution margin by its respective sales mix percentage:
Weighted contribution margin for Model A12 = 60% * $18 = $10.80
Weighted contribution margin for Model B22 = 15% * $36 = $5.40
Weighted contribution margin for Model C124 = 25% * $120 = $30.00
Finally, we sum up the weighted contribution margins:
Weighted-average unit contribution margin = $10.80 + $5.40 + $30.00 = $46.20. Therefore, the weighted-average unit contribution margin is $46.20.
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boxplot summarizes the heights of a group of people who participate in a weekend biking club. Which of the following statements is supported by the boxplot?
A) The mean height is 67 inches.
B) The number of people with height at least 70 inches is greater than the number of people with height at most 62 inches.
C) The number of people with height at least 67 inches is less than the number of people with height at most 67 inches.
D) Approximately 50% of the people have a height between 62 inches and 70 inches.
E) Approximately 25% of the people have a height greater than 62 inches.
Approximately 50% of the people have a height between 62 inches and 70 inches. This is the statement that is supported by the boxplot.
The problem is solved by constructing a histogram by using the given data. So by that histogram we can conclude the given statement that is supported by the boxplot.
Given that, the boxplot summarizes the heights of a group of people who participate in a weekend biking club
The mean height is 67 inches. The number of people with height at least 70 inches is greater than the number of people with height at most 62 inches.
The number of people with height at least 67 inches is less than the number of people with height at most 67 inches. Approximately 50% of the people have a height between 62 inches and 70 inches. Approximately 25% of the people have a height greater than 62 inches.
Therefore, the statement is Approximately 50% of the people have a height between 62 inches and 70 inches. This is the statement that is supported by the boxplot.
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Select the correct answer. A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2. Which graph matches the description?
Answer:
The third graph
Step-by-step explanation:
87789-8977609-78860=
Answer:
-8968680
Step-by-step explanation:
If this is what your looking for if not sorryyyy
87789-8977609-78860 all you have to do is use a calculator(if you can) or do it the old school way. First, what I did was subtract the first two numbers 87789 and 8977609 to get -8889820 and then subtracted 78860 from that to get a total of -8968680.
Please Answer Asap!!! Write the equation based on the graph of the following base 2 logarithmic function:
The graph of the logarithmic function that passes through (-2,-2) and (1,0) is \(\log_2(x+3)-2\).
Suppose that the function is
\(f(x)=\log_2(x+c)+d\)
Then there are two observations that we must consider from the figure
The graph must pass through (-2,-2) and (1,0)So,
\(-2=\log_2(-2+c)+d\)
\(\implies -2+c=e^{-2-d} ...~...~(1)\)
And,
\(0=\log_2(1+c)+d\\\implies 1+c=e^{-d} ~...~...~(2)\)
Observe the figure given below we see that the graph of
\(\log_2(x)\) passes through (1,0) but does not pass through (-2,-2) and the graph is to the right of (-2,-2) hence, we need the graph to move left.
When we increase c the graph \(\log_2(x+c)+d\) moves left and
When we decrease d then the graph \(\log_2(x+c)+d\) moves down.
That makes the graph required to be \(\log_2(x+3)-2\).
Hence, the graph of the logarithmic function that passes through (-2,-2) and (1,0) is \(\log_2(x+3)-2\).
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Estimate 8 1/3- 3 3/4. Tell me how you got your estimate. Susi subtracted and found the actual difference to be 5 7/1. Is her answer reasonable? Explain.
Susi's answer of 5 7/1 is not reasonable because it should be written as 5 7/1 or 6 2/3. This means that Susi made an error in her subtraction. The correct difference between 8 1/3 and 3 3/4 is actually 4 5/12, which is closer to our estimate of 4.
To estimate 8 1/3 - 3 3/4, we can round the mixed numbers to the nearest whole numbers, which are 8 and 4, respectively. Then, we can subtract 4 from 8 to get an estimate of 4.
However, to find the actual difference between the two mixed numbers, we need to subtract them by finding a common denominator. In this case, we can convert 1/3 to 4/12 by multiplying the numerator and denominator by 4, and 3/4 to 9/12 by multiplying the numerator and denominator by 3. Then, we can subtract the fractions and simplify the result to get:
8 1/3 - 3 3/4 = 8 - 3 + 1/3 - 3/4 = 5 + (4/12 - 3/4) = 5 + (1/12) = 4 5/12
Therefore, the actual difference between 8 1/3 and 3 3/4 is 4 5/12, which is closer to our estimate of 4 than Susi's answer of 5 7/1 or 6 2/3. Her answer of 5 7/1 is not reasonable because it is not a proper mixed number and should be written as 6 2/3. Additionally, her answer is greater than our estimate and the actual difference, which suggests that she made an error in her subtraction.
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Which one of these represents the graph in this picture right here ? A,B,C,D,E or F?
PLEASE HELP
Answer:
A) y=3x+1
Step-by-step explanation:
Use the formula y=mx+b
m is the slope and b is the y intercept
the graph starts on 1 on the y axis so you replace 1 for b
the slope goes up 3 and over one, giving the fraction 3/1 or just 3. so you replace 3 for m.
Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month. James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month. Is there any number of months after which both Wolverine and James Bond will have paid the same amount?
Answer:
Both Wolverine and James Bond will have paid the same amount after 10 months.
Step-by-step explanation:
Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.
As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,
Amount paid by Wolverine in x months is equal to \(1000+300x\)
As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,
Amount paid by James Bond in x months is equal to \(2500+150x\)
To find number of months after which both Wolverine and James Bond will have paid the same amount,
solve \(1000+300x=2500+150x\)
\(1000+300x=2500+150x\\300x-150x=2500-1000\\150x=1500\\x=\frac{1500}{150}=10\)
So, both Wolverine and James Bond will have paid the same amount after 10 months.
Each outcome on the spinner below has equal probability. If you spin the spinner three times and form a three-digit number from the three outcomes, such that the first outcome is the hundreds digit, the second outcome is the tens digit and the third outcome is the units digit, what is the probability that you will end up with a three-digit number that is divisible by $4$?
So, the probability of ending up with a three-digit number that is divisible by 4 is 1/24.
To find the probability of ending up with a three-digit number that is divisible by 4 when spinning the spinner three times, we need to consider the possible outcomes that satisfy this condition and divide it by the total number of possible outcomes. Let's analyze the given spinner and its possible outcomes:
Spinner: [1, 2, 3, 4, 5, 6]
To form a three-digit number, the hundreds digit will be determined by the first spin, the tens digit by the second spin, and the units digit by the third spin. A number is divisible by 4 if the last two digits (tens and units digits together) form a number divisible by 4. Therefore, we need to find the number of possible outcomes for the tens and units digits that satisfy this condition.
Possible outcomes for the tens digit: [2, 4, 6]
Possible outcomes for the units digit: [2, 4, 6]
Combining the possible outcomes for the tens and units digits, we have a total of 9 (3 possibilities for the tens digit multiplied by 3 possibilities for the units digit) favorable outcomes. The total number of possible outcomes for each spin is 6 (since there are 6 numbers on the spinner). Since we are spinning the spinner three times independently, the total number of possible outcomes for spinning it three times is 6^3 = 216. Therefore, the probability of ending up with a three-digit number divisible by 4 is:
Probability = favorable outcomes / total outcomes
Probability = 9 / 216
Probability = 1 / 24
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A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?
Answer:
2.5%
Step-by-step explanation:
A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?
The formula for Rate of Interest in a simple interest is given as:
r = (1/t)(A/P - 1)
Where
t = time in years = 3 years
P = Principal = Initial amount invested = Ghc 500,000.00
A = Amount after t years =
Principal + Simple Interest
= Ghc 500,000.00 + Ghc 37,500.00
= Ghc 537,500.00
Hence:
The rate of interest = (1/3) × (Ghc 537,500.00/Ghc 500,000.00 - 1)
= r = 0.025
Converting r decimal to R a percentage
R = 0.025 × 100 = 2.5%/year
Therefore, the rate of interest per annum is 2.5%
An Apple Watch was marked down 1/9 of the original price. If the sales price was $224 what is the original price?
Answer:
ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252
Hope This Helps!!!
Marked down 1/9 means it sold for 8/9 of the original price.
Divide the sale price by 8/9:
224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252
The original price was $252
A steady current I flows down a long cylindrical wire of radius a.
(a) Find the magnetic field, both inside and outside the wire, if all the current is uniformly distributed over the outside surface of the wire only. (b) Find the magnetic field, both inside and outside the wire, if the current is distributed in such a way that the current density J is proportional tos^2, where s is the distance from the axis.
(c) Show that your answers to (a) and (b) are consistent with the magnetostatic boundary conditions (Griffiths Eqn (5.76)) at the outside surface s = a.
(d) For the situation of part (a), determine the vector potential A everywhere.
For the situation in part (b), the boundary condition is given by B·n = μ_0J/2πa, where n is the unit normal vector to the surface of the wire and J is the current density. This is consistent with the magnetic
(a) The magnetic field outside the wire is given by B = μ_0I/2πs, where I is the current and s is the distance from the axis of the wire. The magnetic field inside the wire is zero.
(b) The magnetic field outside the wire is given by B = μ_0J/2πs, where J is the current density and s is the distance from the axis of the wire. The magnetic field inside the wire is given by B = μ_0J/2πa, where a is the radius of the wire.
(c) For the situation in part (a), the boundary condition is given by B·n = μ_0I/2πa, where n is the unit normal vector to the surface of the wire and I is the current. This is consistent with the magnetic field outside the wire, which is given by B = μ_0I/2πs.
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pls help me i need help
Answer:
b) 31.25
Step-by-step explanation:
Since it is an isosceles triangle, the two missing angles are equal.
The sum of the angle measures in a triangle is 180 degrees.
Angle D and E are both x
So we set up an equation:
180 = 117.5 + x + x
180 = 117.5 +2x
62.5 = 2x
x = 31.25
The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h.
A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 120 feet per second. After how many seconds does the ball attain its maximum height.
Round to the nearest hundred.
Answer:
3.75 seconds
Step-by-step explanation:
Given:
\(h(t)=-16t^2+Vt+h\)
\(h=2\)
\(V=180\)
Plug in given info into formula:
\(h(t)=-16t^2+120t+2\)
Find the x-coordinate of the vertex:
\(t=-\frac{b}{2a}\)
\(t=-\frac{120}{2(-16)}\)
\(t=-\frac{120}{-32}\)
\(t=\frac{15}{4}\)
\(t=3.75\)
I’ll Mark u as brainless if you solve this
i think the person below me is correct and the answer is 12
Answer:
M equals 12
I hope this helps you.
evaluate the double integral ∬dxcosyda, where d is bounded by y=0, y=x2, and x=4.
The integral simplifies to ∫[0 to 4] sin(x²) dx.
To evaluate the double integral ∬dxcosyda, where the region D is bounded by y=0, y=x², and x=4, we need to set up the integral in terms of the given bounds and integrate over the region.
The region D is defined as follows:
0 ≤ y ≤ x²
0 ≤ x ≤ 4
To evaluate the integral, we can reverse the order of integration and integrate with respect to y first and then x.
∬dxcosyda = ∫∫D cos(y) dA
Integrating with respect to y first, we get:
∫[0 to 4] ∫[0 to x²] cos(y) dy dx
Integrating cos(y) with respect to y, we have:
∫[0 to 4] [sin(y)] [0 to x²] dx
Now we can evaluate this integral:
∫[0 to 4] [sin(x²) - sin(0)] dx
Since sin(0) = 0, the integral simplifies to:
∫[0 to 4] sin(x²) dx
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according to chebyshev's theorem, at least what percent of any set of observations will be within 1.8 standard deviations of the mean? (round your answer to the nearest whole percent.)
According to Chebyshev's theorem, at least 69 percent of any set of observations will be within 1.8 standard deviations of the mean.
Standard deviations of the mean = 1.8 s
According to Chebyshev's theorem at least (1 - 1/k^2)×100% observations will lie within k standard deviation from the mean.
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 1/(1.8)^2)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 1/3.24)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 0.31)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = 0.69 × 100%
The proportion of observations that will be within 1.8 standard deviations of the mean = 69%
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Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts
Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."
2: The total cost of the merchandise is $3,332.00.
5: The company's gross margin and operating expenses, are $211,000 and $191,720.
What is the cost of merchandise inventory?Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.
Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.
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