Answer:
6 dogs are there who ate the biscuits
less than a number
Х
A, 12-x
B. 12x
C. X + 12
D. X-12
Answer:
D) X-12
Step-by-step explanation:
imagine that X = 2 or any number less than 12
A) 12 - X = 12 - 2 = 10
B) 12X = 12 ×2 = 24
C) X + 12 = 2 + 12 = 14
D) X - 12 = 2 - 12 = -10
So, the smallest number is (D)
Hope it's help.
The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), where t is measured in years. Find the equation to model the population and determine its initial value.
P = 5t +100 where P(0) = 100
P = 1/50 In(0.1t)+20
P = 1/500e^t + 20
P = 1/50e^0.1t + 20
Using the inverse function, it is found that the equation is:
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is 20.
---------------------------
We want to find the inverse of:
[tex]y = P^{-1}(t) = 10\ln{50t - 1000}[/tex]
To do this, we exchange y and t, and isolate y.
Then:
[tex]10\ln{50y - 1000} = t[/tex]
[tex]\ln{50y - 1000} = \frac{t}{10}[/tex]
[tex]e^{\ln{50y - 1000}} = e^{0.1t}[/tex]
[tex]50y - 1000 = e^{0.1t}[/tex]
[tex]50y = e^{0.1t} + 1000[/tex]
[tex]y = \frac{e^{0.1t} + 1000}{50}[/tex]
[tex]y = \frac{e^{0.1t}}{50} + \frac{1000}{50}[/tex]
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is:
[tex]P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02[/tex]
Rounding, 20.
A similar problem is given at https://brainly.com/question/23950969
Answer:
P = 1/50e^0.1t + 20
Step-by-step explanation:
am i right???? Please explain even if I am???
Similar triangles have the same angle measures, but different side lengths. Generally, similar triangles are proportional.
So, we can say that AB / DE = BC / EC.
16 / DE = 12 / 9
12(DE) = 144
DE = 12
Hope this helps!! :)
Oscar and Julie Ashton are celebrating their 15th anniversary by having a reception at a local reception hall. They have budgeted $5,000 for their reception. If the
reception hall charges a $80 cleanup fee plus $33 per person, find the greatest number of people that they may invite and still stay within their budget.
The figure shows a utility pole with an electrical line and a telephone line.
The angled wire is a tension wire.
Complete the table: for each angle pair given, identify the transversal and classify the angle pair. (Hint: Think of the utility pole as a line for these problems.)
Note: I’ll give you a lot of points for this
Answer:
Step-by-step explanation:
what number has the prime factorization 2 6th * 5 6th show your work
Nolan’s car used 2 gallons to travel 50 miles. How far can he travel on 3 gallons?
Answer:
75 miles
Step-by-step explanation:
because half of 50 is 25 so 25x2 is 50 and 50 plus 25 is 75
Answer:
75
Step-by-step explanation:
count by 25's
25+25=50
50+25=75
Graph the number on the number line. Then use your number line to find the
absolute value.
-3
10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
O
-3
4 5 6 7 8 9 10
?
The absolute value of -3 is
Answer:
3
Step-by-step explanation:
The opposite of -3 is 3.
Helppppppppppppp need it now
Answer:
got
submited
showed
arrived
already filled
Step-by-step explanation:
What are the steps to solving this following equation? Put answer and steps.
(5) * (-9) * (-2)
Answer:
90
Step-by-step explanation:
you can multiply anything here in any order.
you could first do 5 times -9
5 * -9 = -45
and then multiply the -2 to the -45
-2 * -45 = 90
Hello someone help me please
Answer:
b
Step-by-step explanation:
4. Jason drove 200 miles in 8 hours. How many miles did Jason drive per
hour? (answer with just a number)
Answer:
25
Step-by-step explanation:
If y=cosh(4tanh¯¹x) then dy/dx=
If you're like me and don't remember hyperbolic identities (especially involving inverse functions) off the top of your head, recall the definitions of the hyperbolic cosine and sine:
[tex]\cosh(x) = \dfrac{e^x + e^{-x}}2 \\\\ \sinh(x) = \dfrac{e^x - e^{-x}}2[/tex]
Then differentiating yields
[tex]\dfrac{\mathrm d(\cosh(x))}{\mathrm dx} = \dfrac{e^x-e^{-x}}2 = \sinh(x) \\\\ \dfrac{\mathrm d(\sinh(x))}{\mathrm dx} = \dfrac{e^x+e^{-x}}2 = \cosh(x)[/tex]
so that by the chain rule, if
[tex]y = \cosh\left(4\tanh^{-1}(x)\right)[/tex]
then
[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d\left(\cosh\left(4\tanh^{-1}(x)\right)\right)}{\mathrm dx} = \sinh\left(4\tanh^{-1}(x)\right) \dfrac{\mathrm d\left(4\tanh^{-1}(x)\right)}{\mathrm dx}[/tex]
Now, let [tex]z=4\tanh^{-1}(x)[/tex], so that (•) [tex]\tanh\left(\frac z4\right) = x[/tex].
Recall that
[tex]\tanh(x) = \dfrac{\sinh(x)}{\cosh(x)} = \dfrac{e^x-e^{-x}}{e^x+e^{-x}}[/tex]
and so the derivative of tanh(x) is
[tex]\dfrac{\mathrm d(\tanh(x))}{\mathrm dx} = \dfrac{(e^x+e^{-x})(e^x+e^{-x})-(e^x-e^{-x})(e^x-e^{-x})}{(e^x+e^{-x})^2} \\\\ = \dfrac{4\cosh^2(x)-4\sinh^2(x)}{4\cosh^2(x)} \\\\ = 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]
where the last equality follows from the hyperbolic Pythagorean identity,
[tex]\cosh^2(x)-\sinh^2(x) = 1 \implies 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]
Differentiating both sides of (•) implicitly with respect to x gives
[tex]\dfrac{\mathrm d\left(\tanh\left(\frac z4\right)\right)}{\mathrm dx} = \dfrac{\mathrm d(x)}{\mathrm dx} \\\\ \mathrm{sech}^2\left(\dfrac z4\right)\dfrac{\mathrm d\left(\frac z4\right)}{\mathrm dx} = 1 \\\\ \dfrac14 \mathrm{sech}^2\left(\dfrac z4\right) \dfrac{\mathrm dz}{\mathrm dx} = 1 \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\dfrac z4\right) \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\tanh^{-1}(x)\right)[/tex]
So, the derivative we want is the somewhat messy expression
[tex]\boxed{\dfrac{\mathrm dy}{\mathrm dx} = 4\sinh\left(4\tanh^{-1}(x)\right) \cosh^2\left(\tanh^{-1}(x)\right)}[/tex]
and while this could be simplified into a rational expression of x, I would argue for leaving the solution in this form considering how y is given in this form from the start.
In case you are interested, we have
[tex]\cosh\left(\tanh^{-1}(x)\right) = \dfrac1{\sqrt{1-x^2}}[/tex]
and you can instead work on differentiating that; you would end up with
[tex]\dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{16x^3+16x}{(x^2-1)^3}[/tex]
How many solutions are there for this equation? Why?
Answer:
d
Step-by-step explanation:
Find a10, for the geometric sequence an = 3(4)^n-1.
A. 262,144
B. 786,432
C. 1,048,579
D. 3,145,728
simplify 2√2-3/√2+4/√8
Answer:
This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well
someone please solve this for me i swear i will give you a brainliest i really need help on this
Answer:
1) Yes, it is rational.
2) Yes, it is rational.
3) There are three repeating digits.
Step-by-step explanation:
Lets solve them in order.
1) First lets see what the characteristics of a rational number are. We know that, to be a rational number, a number must either:
Can be expressed as a fractionRepeatAre integersAnd terminateAn irrational number is a number that never repeats or ends. They are also not integers, but we will focus on the never repeats or ends part.
So, lets look at it. Does 0.147 repeat, terminate, be expressed as a fraction, and is it an integer? Well, its not an integer, it doesn't repeat, and it isn't a fraction. However, it does terminate, which means it is rational.
2) Is 0.147 repeating a rational or irrational number. Remember, we need to see if it terminates, repeats, is an integer, or is a fraction. Well, it doesn't terminate, it is not a fraction, and it is not an integer. However, it does repeat. That means that it is a rational number.
3) Now, to figure out how many repeating digits there are. In math, we know that the line above the numbers in the decimal place means that they repeat. So simply find out how many digits are below that line. Well, we see that 1, 4, and 7 are under the line. In total that is three digits. So the answer is 3.
The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?
Answer:
Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.
A + B = 45
After that, make an equation out of the second sentence. "Difference" means subtraction.
A - B = 3
There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.
A + B = 45
A - B = 3
-------------
2A = 48
A = 24
Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.
A + B = 45
24 + B = 45
B = 21
This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!
Step-by-step explanation:
please mark me as brainlest
Directions: Use the information in the charts to answer the questions. Type of Fruit Cost Estimated Cost apple $1.75/pound 8.75 orange $2.35/pound 9.40 banana $1.50/pound 4.50 Annie bought 5 pounds of apples, 4 pounds of oranges, and three pounds of bananas. a. Round the prices to the nearest whole dollar to estimate how much money she spent. b. How much money did Annie actually spend? Write a numerical expression to represent the amount of money that Annie spent. Was your estimation an overestimation or underestimation? Why do you think that might be?
Estimates are used to make prediction about an actual value
Annie estimated spending $52Annie actually spent $48.25Your estimation is an overestimationThe chart is given as:
Fruit Cost Estimated
Apple $1.75/pound 8.75
Orange $2.35/pound 9.40
Banana $1.50/pound 4.50
The number of pounds of each fruit Annie bought are:
[tex]Apples= 5[/tex]
[tex]Orange = 4[/tex]
[tex]Banana = 3[/tex]
(a) The estimated amount
To do this, we make use of the estimated column.
So, we have:
[tex]Estimated = \sum Cost \times Pounds[/tex]
[tex]Estimated =1.75*5+8.75*4+1.50*3[/tex]
Approximate the prices
[tex]Estimated =2*5+9*4+2*3[/tex]
[tex]Estimated =52[/tex]
Hence, Annie estimated spending $52
(b) The actual amount spent
To do this, we make use of the cost column.
So, we have:
[tex]Actual = \sum Cost \times Pounds[/tex]
[tex]Actual =1.75*5+8.75*4+1.50*3[/tex]
[tex]Actual =48.25[/tex]
Hence, Annie actually spent $48.25
(c) The decision
By comparison, the estimated spending is greater than the actual amount spent.
Hence, your estimation is an overestimation
Read more about estimation at:
https://brainly.com/question/6768038
1/5(x + 0.5) + 5.24 = 3/2x + 7/10(x + 2.2)
Solve for x
Answer:
x=19/10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/5(x+0.5)+5.24=3/2x +x+7/10(x+2.2)
(1/5)(x)+(1/5)(0.5)+5.24=3/2x+(7/10)(x)+(7/10)(2.2)(Distribute)
1/5x+0.1+5.24=3/2x+7/10x+1.54
(1/5x)+(0.1+5.24)=(3/2x+7/10x)+(1.54)(Combine Like Terms)
1/5x+5.34=11/5x+1.54
Step 2: Subtract 11/5x from both sides.
1/5x+5.34−11/5x=11/5x+1.54−11/5x
−2x+5.34=1.54
Step 3: Subtract 5.34 from both sides.
−2x+5.34−5.34=1.54−5.34
−2x=
−19/5
Step 4: Divide both sides by -2.
−2x=−19/5
x= 19/10
Answer:
x= 19/10
Multiply. (−6/35)⋅14/27 What is the product? Enter your answer as a fraction, in simplified form, in the box.
Answer:
-4/45
Step-by-step explanation:
[tex]\dfrac{-6}{35}*\dfrac{14}{27}=\dfrac{-6}{5}*\dfrac{2}{27}[/tex]
14 and 35 are given by 7th table.
[tex]= \dfrac{-2}{5}*\dfrac{2}{9}[/tex]
Now , 6 and 27 are given by 3rd table
[tex]=\dfrac{-4}{45}[/tex]
Answer:
-4/45
Step-by-step explanation:
2.03 Quiz: Multiply Signed Fractions
PLEASE I NEED HELP WITH THIS SO I CAN PASS
Answer:
the answer is------------ 1/4.4.4
The heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6) , where the units are inches. a) If we randomly sample the heights of five male seniors, what distribution should the sample mean follow? Give your answers to two decimal places.
The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.
N(70.5, 1.16)
The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
What is a normal distribution?A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.
As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.
Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,
[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]
Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
Learn more about Normal Distribution:
https://brainly.com/question/12421652
simplify the expression 8xy-(x+2xy)+3x
Answer:
6xy + 2x
Step-by-step explanation:
Simplify the expression.8xy-(x+2xy)+3x
Enter the correct answer in the box
Simplify the expression (62)4
Answer:
62•4=248
[tex]63^{4} =2^{24}[/tex]
Step-by-step explanation:
I didn't know which one you needed so here's both.
PLZZZZZ HELP THIS IS DUE BY 8:00.Fred is trying to earn $35 to buy a basketball. He has saved $11.25. He earns $2.25 per hour doing yard work for his neighbor, and he earns $7.25 per hour selling sunglasses at the mall. Will Fred have enough to buy the basketball if he works in the yard for 2 hours and at the mall for 3 hours? Use the inequality 2.25y + 7.25z + 11.25 ≥ 35.
No, because the total will be $58.75.
No, because the total will be $21.25.
Yes, because the total will be $37.50.
Yes, because the total will be $26.25.
Answer:
the answer is d (the last one)
Step-by-step explanation:
2.25 * 2 = 4.5
+
7.25 * 3 = 21.75
= 26.25
he needs 35, so it's not enough
Which type of rock is shown in each of these photographs?
Answer:
igneous
Step-by-step explanation:
igneous rocks are made out of molten lava or magma
Answer:
sedimentary rock/igneous rock and Metamorphic rock
Step-by-step explanation:
h(x)=17, x=?
H(x)=5x+2
I don't know how to find x?
Answer:
• If h(x) is 17, equate the whole function to 17
[tex]{ \tt{5x + 2 = 17}} \\ \\ { \tt{5x = 17 - 2}} \\ \\ { \tt{5x = 15}} \\ \\ { \boxed{ \tt{x = 3}}}[/tex]
Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60
Answer:
Step-by-step explanation:
-(8/11)/(-3/5) = -(8/11)*(-5/3)
-(8/11)*(-5/3) = 40/33 [ or 1 7/33]
I can't interpret the rest of the question. I see:
"Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60"
What is the value of the expression g . (g + 1)^2 for g= 2 ?
Hello!
Answer:
g = 9
Step-by-step explanation:
(g+1)^2
Plug in 2 for g: (2+1)^2
Add 2 and 1: (3)^2
Simplify: (3 x 3)= 9
Hope this helps.