Determine which number is a solution to the inequality.
Answer:
0
Step-by-step explanation:
j + 8 <= 8
Subtract 8 from both sides.
j <= 0
Answer: 0
answer please below!!!
Answer:
False because of the way your trionomial is setup
given 2 variables and you only have one
Step-by-step explanation:
Find the final value of $2000 investment at an interest rate of 2%compounded quarterly (4 times a year) for 8 years
Answer:
\(\Huge \boxed{\boxed{\texttt{\bf{\$2346.09} } } }\)
Step-by-step explanation:
We can use the compound interest formula to get the final value of a $2000 investment at an interest rate of 2% compounded quarterly for 8 years, using:
\(\LARGE \boxed{\tt{A = P(1 + \frac{r}{n})^{nt}}}\)
The final amount is A.P stands for the initial principal, in this case $2,000The yearly interest rate is given as r (0.02 for 2%).The value of n determines how many times interest is compounded annually (4 for quarterly).t represents the time in years (8 years).Substituting the values:
\(\tt{A = 2000(1 + \frac{0.02}{4})^{4 \times 8}}\)\(\tt{ A = 2000(1 + 0.005)^{32}}\)\(\tt{A = 2000(1.005)^{32}}\)\(\texttt{ A $\approx$ 2346.09 (rounded to 2 decimal places)}\)So, the final value of the investment after 8 years would be approximately $2346.09.
________________________________________________________
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If you have $1400 ).and you spend 1/8of it on school supplies and 1/4 of it on groceries and 5/16 of it on clothes what is the total fraction spent
Answer: 11/16
Step-by-step explanation:
1/8=2/16
1/4=4/16
5/16=5/16
add it all together
-4 1/2 + 2 3/4
Guys help me Im having trouble on this EEEEEEEEEE
what is the correct way to measure the zone of inhibition?
The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.
What is Area?Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.
The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.
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A tire manufacturer studying the effectiveness of television advertising and other promotions on sales of its GRIPPER-brand tires attempted to fit data it had gathered to the equation S = a_0 + a_1x + a_2x^2 + b_1y where S is sales revenue in millions of dollars, x is millions of dollars spent on television advertising, y is millions of dollars spent on other promotions, and a_0, a_1, a_2 and b_1 are constants. The data, gathered in two different regions of the country where expenditures for other promotions are kept constant (at B_1 and B_2), resulted in the following quadratic equations relations TV advertising and sales. Region 1: S_1 = 22 + 36x - 1.3x^2 + B_1 Region 2: S_2 = 38 + 19x - 0.6x^2 + B_2 The company wants to know how to make the best use of its advertising dollars in the regions and whether the current allocation could be improved. Advise management about current advertising effectiveness, allocation of additional expenditures, and reallocation of current advertising expenditures by answering the following questions.
1. In the analysis of sales and advertising, marginal return to sales is usually used, and it is given by ds/dx. Find the marginal return to sales for each region. If $10 million is being spent on TV advertising in each region, what is the marginal return to sales in each region?
2. Which region would benefit more from additional advertising expenditure, if $10 million is currently being spent in each region?
3. If any amount of additional money is made available for advertising, in which region should it be spent?
4. How could money already being spent be reallocated to produce more sales revenue
In order to advise the tire manufacturer on their advertising effectiveness and allocation, we need to calculate the marginal return to sales for each region, assess the impact of additional advertising expenditure, determine where the additional money should be spent, and consider the reallocation of current advertising expenditures.
To find the marginal return to sales for each region, we differentiate the sales equation with respect to x. For Region 1, ds_1/dx = 36 - 2.6x, and for Region 2, ds_2/dx = 19 - 1.2x. If $10 million is being spent on TV advertising in each region, we substitute x = 10 into the respective equations to find the marginal return to sales. In Region 1, ds_1/dx = 36 - 2.6(10) = 11, and in Region 2, ds_2/dx = 19 - 1.2(10) = 7. Hence, the marginal return to sales is $11 million in Region 1 and $7 million in Region 2.
To determine which region would benefit more from additional advertising expenditure, we compare the marginal returns. Since the marginal return in Region 1 is higher ($11 million) compared to Region 2 ($7 million), Region 1 would benefit more from additional advertising expenditure.
If additional money is made available for advertising, it should be spent in Region 1 as it has the higher marginal return. Increasing the advertising expenditure in Region 1 would likely result in a greater increase in sales revenue compared to Region 2.
To reallocate money already being spent to produce more sales revenue, we should compare the coefficients of the quadratic term (x^2) in the sales equations. In Region 1, the coefficient is -1.3, and in Region 2, it is -0.6. Since the coefficient in Region 1 is larger in absolute value, reallocating some advertising expenditure from Region 2 to Region 1 would likely lead to a larger increase in sales revenue overall.
Therefore, based on the analysis, the tire manufacturer should focus on increasing advertising expenditure in Region 1, as it has a higher marginal return, and consider reallocating some advertising funds from Region 2 to Region 1 to optimize sales revenue.
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what is the length of a car if the length on the scale model car is 17 centimeters and the scale is 2 centimeters colon 50 centimeters?
If the length on the scale model car is 17 cm and the scale is 2 cm colon 50 centimeters the length of a car is 425 cm
To find the length of the actual car, we can use the given scale ratio. The scale ratio is 2 centimeters colon 50 centimeters, which means that for every 2 centimeters on the scale model car,
it represents 50 centimeters on the actual car.
We can set up a proportion to solve for the length of the actual car.
Let's call the length of the actual car "x". The length on the scale model car is given as 17 centimeters.
Using the proportion, we have:
2 cm / 50 cm = 17 cm / x
To solve for x, we cross-multiply:
2 cm × x = 50 cm × 17 cm
2x = 850 cm
Divide both sides by 2 to isolate x:
x = 850/ 2
x = 425 cm
Therefore, the length of the actual car is 425 centimeters.
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Based on the given scale and the length of the scale model car, the length of the actual car is 425 centimeters. The scale model car is 17 centimeters long, and the scale is 2 centimeters colon 50 centimeters.
To find the length of the actual car, we can set up a proportion.
Let's label the length of the actual car as "x".
Using the scale, we can write the proportion:
2 cm (scale model car) / 50 cm (actual car) = 17 cm (scale model car) / x cm (actual car)
To solve for x, we can cross multiply:
2 cm * x cm = 50 cm * 17 cm
=> 2x = 850 cm
Dividing both sides of the equation by 2:
x = 425 cm
Therefore, the length of the actual car is 425 centimeters.
In conclusion, based on the given scale and the length of the scale model car, the length of the actual car is 425 centimeters.
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find the values of x and y?
Answer:x=20 y=70
Step-by-step explanation:
Answer:
x=20, y=70
Step-by-step explanation:
∠40°+∠adjacent to it =180°
∠adjacent= 180-40=140°
we see that 2 of the sides of one of the small triangles are congruent so that triangle is isoscel so the base angles are congruent as well
because sum of angles in a triangle has to be 180,
140 +x+x=180 so x=20°
from the right triange we see thhat y +90+20 =180 because sum of angle in a triangle has to be 180 so y=70
Jessica rode 38 miles on a bus. The ride took 48 minutes. What was the average speed of the bus?
Answer: 47.5 miles per hour
Step-by-step explanation:
Speed = distance / time
48 minutes = 0.8 hours
Speed = 38 / 0.8
= 47.5 miles per hour
ANSWER: 21.235 m/s
Step-by-step explanation:
Distance travelled: 38 miles, 61155.1 m(SI unit of speed or average speed is m/s so distance has to be in meters and time has to be in seconds)
Time taken:48 minutes, 48×60 seconds= 2880 seconds
Average speed= total distance by total time taken: 61155.1/ 2880= 21. 235 m/s
What is the slope of the line through (-5,10) and (1,24(
Answer:7/3
Step-by-step explanation:
i went on a website and got the answer
Someone help me with this one
Answer:
p' (4,-2)
Step-by-step explanation:
P is at ( -1,5)
We are moving it 5 units to the right so add 5 to the x
We are moving it 7 units down so subtract 7 from the y
p'( -1+5, 5-7)
p' (4,-2)
In a movie theater, there are children and adults in the ratio 4:7. If there are 21 adults, how many people total are there in the theater?
Answer:
33
Step-by-step explanation:
7x3=21
4x3=12
21+12=33
Find the total cost of 2.5kg of chicken at $6.10 per kg and 0.5 kg of cheese at $10.60 per kg?
Answer:
$20.55
Step-by-step explanation:
2.5 x 6.1 + 0.5 x 10.6 = 15.25 + 5.3 = 20.55
Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:
Answer:
x = \(\frac{c+d}{a-b}\)
Step-by-step explanation:
Given
ax - c = bx + d ( collect the terms in x together )
Subtract bx from both sides
ax - bx - c = d ( add c to both sides )
ax - bx = c + d ← factor out x from each term on the left side
x(a - b) = c + d ← divide both sides by (a - b )
x = \(\frac{c+d}{a-b}\)
Answer:
x= c+d/a+e
Step-by-step explanation:
Find the equation of the line that contains the point (-3,-1) and is perpendicular to
the line 3x + 4y = 12. Write the line in slope-intercept form, if possible. Graph the
lines.
Answer: y=-3/4+3
Step-by-step explanation: Isolate for y
Then 4y=-3x+12
divide it by 4 each side
y=-3/4+3
PLEASE HELP ASAP
I WILL MARK BRAINLIEST
Answer:
Estimated 120 students
Step-by-step explanation:
Hi there!
The survey established that 3 out of the 75 students did not have social media accounts.
\(\displaystyle \frac{3}{75}\)
Let \(x\) be equal to the number of students in the entire school who does not have social media accounts.
\(\displaystyle\frac{x}{3000}\)
Create a proportion:
\(\displaystyle \frac{3}{75}=\displaystyle\frac{x}{3000}\)
Multiply both sides by 3000 to isolate \(x\):
\(\displaystyle \frac{3}{75}*3000=\displaystyle\frac{x}{3000}*3000\\\\\frac{9000}{75}=x\\\\120=x\)
Therefore, the number of students in the entire school who do not have social media accounts is estimated to be 120.
I hope this helps!
Can y’all help me on this I just don’t understand it’s find su and m is the midpoint
Answer:
SU = 70
Step-by-step explanation:
First, we need to find the value of x. Since M is the midpoint of SU, that means that SM = MU, therefore:
x + 15 = 4x - 45
15 = 3x - 45
60 = 3x
x = 20
We know that SU = SM + MU = (x + 15) + (4x - 45) = 5x - 30 and that x = 20 so SU = 5x - 30 = 5 * 20 - 30 = 100 - 30 = 70.
Can you guys tell me what 6!/3!
\(\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120\)
Answer:
\(\boxed{\sf{120}}\)Step-by-step explanation:
Use the factorials formula.
Factorials formula:
\(\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}\)
→ 6!/3!=6*5*4
⇒ 6*5*4
Solve a order of operations.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtractFirst, multiply.
→ 6*5*4
⇒ 6*5=30
⇒ 30*4=120
= 120
Therefore, the correct answer is 120.I hope this helps you! Let me know if my answer is wrong or not.
the number of mosquitoes in brooklyn (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by
Amount of rainfall results in the maximum number of mosquitoes is 4 centimeters.
m(r) = -r(r-4)
m(r) = -r² + 4r
let's find the derivative of m(r) with respect to r:
m'(r) = -2r + 4
To find the critical points, we set m'(r) = 0 and solve for r:
-2r + 4 = 0
-2r = -4
r = 2
m''(r) = -2
Evaluating m''(2), we get
m''(2) = -2
the function m(r) has a maximum at r = 2.
Putting the value 2 we get
m(2) = -2² + 4(2)
m(2) = - 4 + 8
m(2) = 4
Therefore, the amount of rainfall that results in the maximum number of mosquitoes is 4 centimeters
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The question is incomplete the complete question is :
The number of mosquitoes in Brooklyn (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by m(r) = -r(r - 4) What amount of rainfall results in the maximum number of mosquitoes?
i’m so confused! i tried to watch a video on it but i don’t understand and we need to do work :(
the 9. is 7(y + 2)is 7+2 i think.
10. 8+4
11. 8+9
12. 5+12
13. 2+4
14. 6+7
15. 15-5
16. 5-3
17. 11-6
I rewrite I think if that is correct.
Byee
answer
Step-by-step explanation:
9) 7y+14
10) 32+4r
11) 8x+72
12) 12b+60
13) 8+4a
14) 42+7v
15) 15b-75
16) 15-3v
17) 66-6s
Math on the Spot
For taking out the garbage each week, Charlotte earns 1 cent the first week, 2 cents the second week, 4 cents the third week, and so on, where she makes twice as much each week as she made the week before. If Charlotte will take out the garbage for 15 weeks, how much will she earn on the 15th week?
If Charlotte will take out the garbage for 15 weeks, Charlotte will earn 327.67 dollars on the 15th week.
To find how much Charlotte will earn on the 15th week, we can use the formula for the sum of a geometric series:
Sₙ = a(1 - rⁿ) / (1 - r)
where Sₙ is the sum of the first n terms of the series, a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = 1 cent, r = 2 (since each week Charlotte earns twice as much as she did the week before), and n = 15. Substituting these values into the formula gives:
S₁₅ = 1(1 - 2¹⁵) / (1 - 2)
S₁₅ = (1 - 32768) / (-1)
S₁₅ = 32767 cents
Therefore, Charlotte will earn 327.67 dollars on the 15th week.
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PLEASE HELP!
Find the value of X in the image Below.
Answer:
x = 30°
Step-by-step explanation:
l₁ // l₂ and t is transversal. So, corresponding angles are congruent.
3x - 10 = 2x + 20
Add 10 to both sides,
3x = 2x + 20 + 10
3x = 2x + 30
Subtract 2x from both sides,
3x - 2x = 30
x = 30°
2. Write the algebraic phrases that correspond to the following word phrases: (a) The sum of four times the opposite of a number and - 5 (b) The product of 5 and the sum of 3 times a number and 4
Considering the definition of an algebraic expression, The algebraic expression of the word pharses are:
(a) 4×(-x) + (-5)
(b) 5×(3x + 4)
Definition of an algebraic expressionAn algebraic expression is a combination of numbers and letters related to each other by mathematical operations. Usually, the letters represent unknown quantities and are called variables or unknowns.
Algebraic expression in this caseIn this case, you know:
(a) The sum of four times the opposite of a number and - 5
(b) The product of 5 and the sum of 3 times a number and 4
The algebraic expression of the word pharses are:
(a) 4×(-x) + (-5)
(b) 5×(3x + 4)
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How many F-ratios must we calculate for a two-way analysis of variance?
A) 1
B) 2
C) 3
D) 4
The correct answer is D) 4.
In a two-way analysis of variance, we are examining the effects of two independent variables (or factors) on a dependent variable. We must calculate four F-ratios to test the significance of these effects: two for the main effects of each factor, and two for the interaction effect between the two factors.
The F-ratio is a statistical test that compares the amount of variability between groups to the amount of variability within groups. By calculating F-ratios for each effect, we can determine whether the differences between groups are statistically significant and whether the independent variables have a significant impact on the dependent variable.
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A triangular prism is 12 meters long and has a triangular face with a base of 8 meters and a height of 9 meters. What is the volume of the triangular prism?
The volume of the triangular prism is 216 cubic meters.
To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.
Calculate the area of the triangular base.
The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.
Plugging in the values, we get:
Area = (1/2) * 8 meters * 9 meters = 36 square meters.
Multiply the area of the base by the length of the prism.
The length of the prism is given as 12 meters.
Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.
Adjust for the shape of the prism.
Since the prism is a triangular prism, we need to divide the volume by 2.
Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.
Therefore, the volume of the triangular prism is 216 cubic meters.
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Estimate the total shaded area below, list all that are correct: A. 14/28 B. 2 1/10 C. 2 100/200 D. 5/2
Answer:
it is 2 1/10 i took the test from K12
Step-by-step explanation:
ances
A hole in the ground is 3 feet deep. A pile of dirt next to the hole is 3 feet high. Which list
best uses the values -3.0, and 3 to describe these elevations?
ground level:
bottom of the hole:
top of the dirt pile:
3 feet
3 feet
O feet
ground level:
bottom of the hole:
top of the dirt pile:
3 feet
0 feet
3 feet
ground level:
bottom of the hole:
top of the dirt pile:
0 feet
3 feet
-3 feet
ground level:
bottom of the hole:
top of the dirt pile:
O feet
-3 feet
3 feet
DUE TODAY WELL WRITTEN ANSWERS ONLY PLASE HELP!!!!!!!!!!
A biologist measures the stride lengths of a population of emus, the second-tallest birds in the world, and the stride lengths of a population of ostriches, the tallest birds in the world. The biologist found that the stride lengths of both populations were approximately normally distributed.
• The mean stride length of the population of emus is 3 meters with a standard deviation of 0.5 meters.
• The mean stride length of the population of ostriches is 4.5 meters with a standard deviation of 0.75 meters.
o Approximately 34% of the ostriches have stride lengths between 4.5 and 5.25 meters. Describe these values in terms of the mean and standard deviation only. What interval would represent a similar percentage of emus?
o How can this percentage be seen using a graph of the normal curve?
The interval that represents a similar percentage of emus is 3 to 3.5 meters.
The percentage of ostriches with stride lengths between 4.5 and 5.25 meters using a graph of the normal curve.
The population of ostriches can know that approximately 34% have stride lengths between 4.5 and 5.25 meters.
To describe these values in terms of the mean and standard deviation can use the following formula for a standard normal distribution:
z = (x - μ) / σ
z is the z-score, x is the value we're interested in, μ is the mean and σ is the standard deviation.
The z-scores for 4.5 and 5.25 use the mean and standard deviation of the population of ostriches:
z1 = (4.5 - 4.5) / 0.75
= 0
z2 = (5.25 - 4.5) / 0.75
= 1
The range of 4.5 to 5.25 meters corresponds to z-scores between 0 and 1.
The interval that represents a similar percentage of emus can use the same z-scores.
Since the mean stride length of the emus is 3 meters with a standard deviation of 0.5 meters can use the formula above to find the corresponding values of x:
x1 = μ + z1 × σ
= 3 + 0 × 0.5
= 3
x2 = μ + z2 × σ
= 3 + 1 × 0.5
= 3.5
The interval that represents a similar percentage of emus is 3 to 3.5 meters.
The percentage of ostriches with stride lengths between 4.5 and 5.25 meters using a graph of the normal curve.
The total area under the normal curve is equal to 1 so if 34% of the ostriches have stride lengths in this range the area under the curve between 4.5 and 5.25 standard deviations from the mean is also 0.34.
A standard normal distribution table or a calculator can find that the z-scores that correspond to an area of 0.34 between them are approximately -0.43 and 0.43.
The graph of the normal curve for the population of ostriches would show that the area between z = -0.43 and z = 0.43 is 0.34.
This interval corresponds to stride lengths between:
μ + (-0.43) × σ = 4.13 meters
μ + (0.43) × σ = 4.87 meters
The range of 4.5 to 5.25 meters.
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A hotel builds an isosceles trapezoidal pool for children. it orders a tarp to cover the pool when not in use. what is the area of the tarp?
The area of the trapezoidal tarp in the hotel is 47.3 square inches.
What is a trapezoid?A trapezoid is a quadrilateral having one pair of parallel opposite sides. It can have right angles (a right trapezoid) and congruent sides (isosceles), but neither is needed.How do determine the area of the trapezoid?
The area of a trapezoid is calculated using:Area = 0.5 × (Sum of parallel sides) × HeightFrom the complete question, the parallel sides are 10ft and 12ft.
So, Area = 0.5 × (10 + 12) × hEvaluate,
Area = 11 × hThe height (h) is computed using the cosine function shown below:
cos(120 - 90) = h/5This gives
cos(30) = h/5Make h the subject:
h = 5cos(30)Evaluate:
h = 4.3So, we get:
Area = 11 × 4.3Evaluate:
Area = 47.3Therefore, the area of the trapezoidal tarp in the hotel is 47.3 square inches.
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The complete question is given below:
A hotel builds an isosceles trapezoidal pool for children. it orders a tarp to cover the pool when not in use. what is the area of the tarp?
to find the height. first find that d is 60,45, or 120. this means the height of the trapezoid is approximately 2.5,4.3, or 3.5 feet. so the area of the tarp is approximately 47.3,30.0 or 38.5 square feet.