beth wants to buy shelves to hold 38 boxes of photos there is a shelf that will hold 8 boxes of photos beth calculates that 38/8=4 r6 how many shelves will beth need to hold all 38 photo boxes
Find the area of 7.1m. Round to the nearest tenth. Use 3.14.
in an experiment, the control variable is r and the response variable is s. which variable is not manipulated, but measured, and represents the data being recorded
Control variable r is not manipulated, but measured and represents the data being recorded.
What is mean by Variables?
A variable is a value that can change, depending on information.
Given that;
In an experiment, the control variable is r and the response variable is s.
Now,
Control variable is a variable that's always constant in an experiment.
It is not a variable of interest in the study, but its controlled because it could influences the outcomes.
Thus, Control variable r is not manipulated, but measured and represents the data being recorded.
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hey can you please help me posted picture of question
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 5x + 12), [−3, 1]
The absolute maximum and minimum values of the function f(x) = ln(x^2 + 5x + 12) on the interval [-3, 1] are f(1) = ln(18) (maximum) and f(-2) = ln(4) (minimum).
Explanation:
To find the absolute maximum and absolute minimum values of the function f(x) = ln(x2 + 5x + 12) on the interval [-3, 1], we first need to find the critical points of the function within this range. The critical points are those at which the derivative equals zero or does not exist.
The derivative of this function is f'(x) = 2x + 5 / (x2 + 5x + 12). Setting this equal to zero and solving for x, we get the values -1 and -2. Both of these are within our interval, so they are critical points.Next, we evaluate the function at the critical points and at the end points of the given interval. We get f(-3) = ln(6), f(-2) = ln(4), f(-1) = ln(6), and f(1) = ln(18).The absolute maximum value within the interval is ln(18) and the absolute minimum value is ln(4).
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The absolute maximum value of f(X) on the interval [-3, 1] is approximately ( 2.890), which occurs at ( x = 1), and the absolute minimum value is approximately (1.749 ), which occurs at ( x = -5/2).
To find the absolute maximum and minimum values of[tex]\( f(x) = \ln(x^2 + 5x + 12) \)[/tex] on the interval [tex]\([-3, 1]\)[/tex], we first need to find the critical points and check the values of the function at those points and at the endpoints of the interval.
1. Find the critical points: Critical points occur where the derivative of the function is zero or undefined.
First, let's find the derivative of (f(x):
[tex]\[ f'(x) = \frac{1}{x^2 + 5x + 12} \cdot (2x + 5) \][/tex]
Setting ( f'(x)) equal to zero:
2x + 5 = 0
x = -5/2
Since this value x = -5/2 lies within the interval [-3, 1], it's a critical point.
2. Check the endpoints and critical point:
[tex]- \( f(-3) = \ln((-3)^2 + 5(-3) + 12) = \ln(9 - 15 + 12) = \ln(6) \)[/tex]
[tex]- \( f(1) = \ln(1^2 + 5(1) + 12) = \ln(1 + 5 + 12) = \ln(18) \)[/tex]
[tex]- \( f\left(-\frac{5}{2}\right) = \ln\left(\left(-\frac{5}{2}\right)^2 + 5\left(-\frac{5}{2}\right) + 12\right) = \ln\left(\frac{25}{4} - \frac{25}{2} + 12\right) = \ln\left(\frac{25 - 50 + 48}{4}\right) = \ln\left(\frac{23}{4}\right) \)[/tex]
3. Compare the values:
- ln(6) = 1.792
- ln(18) = 2.890
- [tex]ln\left(\frac{23}{4}\right)[/tex] = 1.749
So, the absolute maximum value of f(X) on the interval [-3, 1] is approximately ( 2.890), which occurs at ( x = 1), and the absolute minimum value is approximately (1.749), which occurs at ( x = -5/2).
what tool or tools would you choose to use to solve this problem?
Answer:
A tool.
Now I just need to put filler so I'm just gonna copy and paste. Now I just need to put filler so I'm just gonna copy and paste.
Q #9. find the volume of the sphere
Chord SR intersects tangent AB to form ∠SRA. Find m∠SRA.
A. m∠SRA = 40°
B. m∠SRA = 80°
C. m∠SRA = 100°
D. m∠SRA = 140°
Answer:
C.
Step-by-step explanation:
NEED HELP FAST PLEASE
Evaluate the limit.
a.4
c.1
b.2
d.limit does not exist
Farmer Ed has 7000 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Ed does not fence the side along the river, what is the largest are that can be enclosed?
Width = 2x
Length = 7,000-2x
PLEASE HELP The data below shows the scores of some students on a test: 28, 30, 22, 20, 24, 23, 32
paula earned a 56% on her test. If she got 14 problems correct. how many did she get incorrect
what multiplication problem does the model show? And why? please explain.
A multiplication problem shows the process of calculating the product when one number is multiplied by another. This can be represented using an array model, an area model, or a multiplication sentence. Specific representation will depend on the model provided.
Explanation:In mathematics, a multiplication problem represents the process of finding the product or result when one number is multiplied by another.
However, without a specific model being given in the question, providing a precise answer becomes challenging. In general terms, a multiplication model could be in the form of an array, an area model, or a multiplication sentence. To understand this better, let's illustrate with an example.
An array model of multiplication might show 4 rows of 3 blocks, representing the problem 4 x 3 = 12.An area model could show a rectangle partitioned into smaller parts, with each representing a multiplication fact.A simple multiplication sentence like 2 x 5 = 10, represents the multiplication fact directly.In all the cases, the multiplication problem is demonstrating how to find the product of two numbers or quantities.
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Which is the graph of f(x) = x2 – 2x + 3? Help its timed, also don't want an verified answers
to resolve this type of exercise you must in first place to verify The determinant of the function to know if it cuts to the x axis, with the following formula b^2-4ac, if this value is less than zero then the function , do not cut the x axis, now -(2)^2-4(1)(3) = -8, as this value is negative, it means that is less than zero nd the function do not cut the x axis
2) the graph cut the y axis eN Y = 3 for x= o, F(0) = 0+2*0+3 = 3
3) This is the graph
(5a-5)(2a+2)
Find each product
solve |3z-7|-4=0,|1- 3k/4|=7 plz
thx
who do you write a function
x-1/x-1=1
Solve the equation.
These are fractions
please help asap. this circle is centered at the origin and the length of its radius is 8. what is the circles equation
Answer: [tex]x^2 + y^2 = 64[/tex]
Step-by-step explanation:
Since, the equation of a circle that having the center (h,k) and radius r is,
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Here the circle is centered at the origin,
That is, h = 0 , k = 0
Also, the radius of the circle is 8,
That is, r = 8 unit,
Thus, the equation of the given circle,
[tex](x-0)^2 + (y-0)^2 = 8^2[/tex]
[tex]x^2 + y^2 = 64[/tex]
A hand-operated conduit bender with a shoe for bending 1-inch EMT can also be used to bend
A. 1-inch IMC.
B. 3/4 inch IMC.
C. 1/2 inch EMT.
D. 1-inch rigid conduit.
Tony makes an hourly salary of $11.50 for 40 regular hours of work. For any time worked beyond 40 hours, he is paid at a rate of time and a half per hour. Last week, Tony worked 46 hours. Find each of the following for this period. Tony’s gross pay. Social Security Tax (6.2%) Medicare tax (1.45%)
Tony's gross pay for 46 hours of work, including 6 hours of overtime, is $563.50. The Social Security tax on this amount is $34.94, and the Medicare tax is $8.17.
Explanation:Calculating Tony's Gross Pay
Tony's regular pay for 40 hours at an hourly rate of $11.50 is calculated by multiplying the hourly rate by the number of regular hours he worked. Therefore, his regular pay is 40 hours × $11.50/hour = $460. To calculate the overtime pay, we must first determine the overtime rate. The overtime rate is 1.5 times the normal hourly rate, thus the overtime hourly rate is 1.5 × $11.50/hour = $17.25/hour. Tony worked 6 hours overtime, so his overtime pay is 6 hours × $17.25/hour = $103.50. Tony's gross pay is the sum of his regular pay and overtime pay, which is $460 + $103.50 = $563.50.
Calculating Deductions for Social Security and Medicare
The Social Security tax and Medicare tax are calculated as percentages of the gross pay. The Social Security tax at 6.2% of $563.50 is $563.50 × 0.062 = $34.937, which rounds to $34.94. The Medicare tax at 1.45% of $563.50 is $563.50 × 0.0145 = $8.17075, which rounds to $8.17.
The following figures were entered on a checking-account record. Add or subtract them to keep the running total correct. Balance forward $643.72 Check #5734 to Lupe's Market, for food, for $68.29 $ Deposit of $341.80, a paycheck $ Check #5735 to Broadmoor Community Center in the amount of $34.18 $ Check #5736 to Bill Baughman, for plumbing services, for $60.00 $
It is given Balance forward $643.72 in the account. An amount of $68.29 is given to to Lupe's Market, for food. In the account a Deposit of $341.80 is made.A Cheque of $34.18 is given to Broadmoor Community Center .Charge for for plumbing services, is $60.00 .
Transactions made in the account = $643.72-68.29+341.80-34.18-60.00
Amount left in the account =$823.05.
Answer:
Running Total = $823.05
Step-by-step explanation :
When the figures were entered on a checking account record to keep the running total correct :
Balance forward = $643.72
Check #5734 to Lupe's Market for food = $68.29
A deposit = $341.80
Check #5735 to Broadmoor Community Center = $34.18
Check #5736 to Bill Baughman for plumbing services = $60.00
Total Transactions :
643.72 - 68.29 + 341.80 - 34.18 - 60 = $823.05
Total balance = $823.05
Evaluate the expression 5a + 5b. Let a = -6 and b = -5.
expand in logarithmic expression
Robert planted 24 daffodil bulbs and 36 tulip bulbs in his guarden last winter. If all the bulbs sprout and bloom this spring, what will be the ratio of tulips to daffodils in Roberts guarden? Expressed as a simplified ratio.
The ratio of tulips to daffodils in Robert's garden is 3:2. This is obtained by dividing the number of tulips by the number of daffodils (36/24), and simplifying the result.
Explanation:This problem pertains to ratios. Given that Robert planted 24 daffodil bulbs and 36 tulip bulbs, the ratio of tulips to daffodils is obtained by dividing the number of tulips by the number of daffodils. Thus, the ratio is 36/24. This simplifies to 1.5 when expressed as a decimal. However, we need the ratio in its simplest form, so let's convert 1.5 into a whole number. By multiplying both numbers by 2, we get the ratio 3:2. Therefore, the ratio of tulips to daffodils in Robert's garden is 3:2
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A jogger goes 1.5km west and then turns south.If the jogger finishes 1.7 km from the starting point,how far south did the jogger go?
Final answer:
To find out how far south the jogger went, we use the Pythagorean theorem. Given the distances of 1.5 km west and 1.7 km from the start, the jogger went 0.8 km south.
Explanation:
To determine how far south the jogger went, we can use the Pythagorean theorem, as the jogger's path forms a right-angled triangle where one leg of the triangle is the distance west, the other leg is the distance south, and the hypotenuse is the distance from the starting point.
The question states the jogger goes 1.5 km west and ends up 1.7 km from the starting point. We denote the distance travelled south as y. According to the Pythagorean theorem:
west^2 + south^2 = distance from start^2
y = √0.64
y = 0.8 km
So the jogger went 0.8 km south.
In Youngtown the population reach 4420 people in 1993 in 1998 there were 5600 residents what was toe population in the year 2000
A group of students recycled 7 2/3 pounds of glass and 9 3/4 pounds of paper. How many pounds of glass and paper did the students recycle alltogether?
The students recycle 17 5/12 pounds of glass and paper all together.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now it is given that,
Pounds of glass recycled = 7 2/3
⇒ Pounds of glass recycled = 23/3
Pounds of paper recycled = 9 3/4
⇒ Pounds of paper recycled = 39/4
Thus, total pounds of glass and paper recycled = Pounds of glass recycled + Pounds of paper recycled
⇒ total pounds of glass and paper recycled = 23/3 + 39/4
⇒ total pounds of glass and paper recycled = 209/12
⇒ total pounds of glass and paper recycled = 17 5/12 pounds
Thus, the students recycle 17 5/12 pounds of glass and paper all together.
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(K-4)(k+4)=0 quadratic equation
A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s.
A) A(s) = 2s
144 - s2
B) A(s) = s
144 - s2
C) A(s) = 2s
12 - s2
D) A(s) = 12s
144 - s2
10)
The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)?
A) 12 ft
B) 13 ft
C) 14 ft
D) 15 ft