Answer:
log_10(x) - log_10(100000)
Step-by-step explanation:
[tex]log_{10}(\frac{x}{100000} )\\log_{10}(x) -log_{10}(100000)\\[/tex]
Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).
How to find quotient of a over b/c?WE can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.
Thus,
[tex]\dfrac{a}{\frac{b}{c}} = a \times \dfrac{1}{\frac{b}{c} } = a \times \dfrac{c}{b} = \dfrac{a \times c}{b}[/tex]
We have to Use the quotient property to rewrite;
[tex]log_{10} \dfrac{x}{(100,000)}[/tex]
SO, [tex]log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000)[/tex]
Therefore, Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).
Learn more about logarithm here:
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Today a shoe store it’s at 20% of the price of a pair shoes and for the next three days it will take 20% of the previous days price if the price of a pair of shoes yesterday was $200 what will be the price of the pair of shoes three days from now
A.160.00
B.128.00
C.102.40
D.81.92
If the price of the shoe yesterday was $200 and on this day 20 percent has been taken thus it will have $160. In the next 3 days if another 20 percent will be taken out from the previous $160 then the final answer is $128.
ps.. can u give brainly pls :3
A = {1, 2, 5, 7}
B = {3, 4, 6, 7}
C = {0, 5, 8, 9}
Find A U B U C.
Answer: In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
Step-by-step explanation:
A = {1, 2, 5, 7}
B = {3, 4, 6, 7}
C = {0, 5, 8, 9}
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
£48 is divided between Alf and Ted in the ratio of 7:9. How much does Alf receive?
7:9=7+9=16
Alf is 7 which means 7/16*£48=6.125
A firm produces two types of earphones per year: x thousand of type A and y thousand of type B. The cost function (in thousands of dollars) is given by
C(x,y)=110+80x+130y
If the selling price of type A is p and the selling price of type B is q, the price-demand equations are
p=120-3x+y
q=210+x-7y
Determine how many of each type of earphone should be produced per year to maximize profit? What should be the selling prices p and q? What is the maximum profit?
Answer:
9000 A and 7000 B should be producedp = 100, q = 170$350,000 is the maximum profitStep-by-step explanation:
We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:
P = xp +yq -C(x, y)
Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:
∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0
(120 -3x +y) +x(-3) +y(1) -80 = 0
-6x +2y +40 = 0
3x -y = 20 . . . . put in standard form
and ...
∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0
x(1) +(210 +x -7y) +y(-7) -(130) = 0
2x -14y +80 = 0
x -7y = -40 . . . . put in standard form
__
The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...
x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9
y = (20(1) -(-40)(3))/20 = 140/20 = 7
9000 type A and 7000 type B earphones should be produced.
__
The corresponding selling prices are ...
p = 120 -3(9) +7 = 100
q = 210 +9 -7(7) = 170
The selling prices should be ...
p = $100, q = $170
__
The maximum profit is ...
P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))
P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110
P = 350
The maximum profit is $350,000.
A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes. The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts. What is the probability of randomly selecting an item with white or red on it?
A) 1/4 B) 3/10 C)1/2 D) 7/10
Answer:
its 7/10
Step-by-step explanation:
The probability of randomly selecting an item with white or red on it is 3/10.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes.
The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts.
The probability of randomly selecting an item with white or red on it is given by;
[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\[/tex]
Total items = 2 + 1 + 3 + 2 + 1 + 1 = 10 itens.
Substitute all the values in the formula
[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\\\\rm Probability=\dfrac{3}{10}\\\\[/tex]
Hence, the probability of randomly selecting an item with white or red on it is 3/10.
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A sculpture sits on a pedestal in the shape of a square prism. The side lengths of a base of the prism are 3 feet. The height of the prism is 4 feet. The museum director wants to cover all but the underside of the pedestal with foil that costs $0.22 per square foot. How much will the foil cost?
Answer:
Total cost of covering the pedestal is $12.54.
Step-by-step explanation:
The pedestal is a square prism so top and bottom are of square shape.
Hence, we have here length = width
We know that the Total Surface Area of a Prism is:
[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]
Where l is length,
w is width and
h is height of prism
We know that here w = l = 3 feet
and h = 4 feet
Also, underside of pedestal is not to be covered.
The underside of pedestal is square type.
So,
[tex]\text{Required Total Surface Area = } l\times w+ 2\times w \times h+2\times h \times l[/tex]
[tex]\Rightarrow 3 \times 3 + 2 \times 3 \times 4 + 2 \times 3 \times 4\\\Rightarrow 9 + 24 + 24\\\Rightarrow 57\ ft^{2}[/tex]
Cost of cover per square foot = $ 0.22
Total cost of [tex]57\ ft^{2}[/tex] [tex]\Rightarrow 0.22 \times 0.57 = \$12.54[/tex]
A tennis ball machine shoots 21 forehands 25 backhands and 9 lobs if a player missed 6 forehands 17 backhands and 2 lobs how many balls were hit
Answer:
30
Step-by-step explanation:
55 - 25 = 30
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
Step-by-step explanation:
B or c
the price increase of a set of golf clubs is from $250 to $750. What is the percent increase?
Answer:
300%
Step-by-step explanation:
3 times 250 is 750
What is the volume of this rectangular prism?(HURRY)
Answer:
295.2
Step-by-step explanation:
Answer:295.2 cm^3
Step-by-step explanation:
Length=L=15cm
Width=w=4.1cm
Height=h=4.8cm
volume of rectangular prism=L x w x h
Volume=15x4.1x4.8
Volume=295.2 cm^3
(-3x + 15) + (-3x + 2)
Answer:
If you are looking for a simplified equation, then the answer is -6x + 17
Step-by-step explanation:
(-3x + 15) + (-3x + 2)
Because you are only adding and subtracting here, you can take out the parentheses.
-3x + 15 -3x + 2
= -6x + 17
In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point)
Answer:
D. 50
Step-by-step explanation:
130+x=180
x=50
y varies directly as x.y = 52 when x=4. Find y when x= 10.
y=
(Simplify your answer.)
Answer:
9ha
shhsi a sa.anjwkw a zkaq
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Solve: 3x
+ 4 = 5x - 4x - 8
Answer:
3x = - 18
Step-by-step explanation:
1. Simplify this equation in terms of what is already provided:
3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8
2. Now subtract 3x from either side, at the same time adding 8 to either side: 3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x
3. Divide -2 on either side to isolate the x, and recieve it's value:
12 = -2x ⇒ x = 12/-2 ⇒ x = -6
4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18
what are three segments from this figure?
Answer:
AD, DA, ED, DE
Step-by-step explanation:
subtract 6066 from 294
Answer:
-5772
Step-by-step explanation:
294-6066=-5772
Answer:
The answer would be 2,772
Step-by-step explanation:
6,066 - 294 = 2,272
I hope that helps!!:)
In a class of 35 students, 15 are seniors, 20 are females, and 7 are both a senior and a female. If I choose a student at random, what is the probability I choose a female or a senior?
Answer:
1Step-by-step explanation:
15 + 20 / 35
35/35 = 1 (certain)
The probability of choosing a female or senior is 1, because these are the only two groups represented in the class.
I'm always happy to help :)
Answer:
1.
Step-by-step explanation:
Prob ( Choosing a female) = 20/35
Prob ( Choosing a senior) = (15)/ 35 = 15/35
Requires probability = 20/35 + 15/35
= 35/35
= 1.
what is the area of a circle with the equation (x − 6)² + (y + 2)² = 17 ?
Answer:
17π
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
Area of a circle is:
A = πr²
r² = 17, so A = 17π.
A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than the average weight of 10 ounces. After a random sample of 13 pairs of cleats, he found that sample mean was 9.63 and the standard deviation was .585. At a significance level of .05, can it be concluded that the researcher was correct?
Show work
Answer:
The conclusion is that the researcher was correct
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 13[/tex]
The sample mean is [tex]\= x = 9.63[/tex]
The standard deviation is [tex]s = 0.585[/tex]
The significance level is [tex]\alpha = 0.05[/tex]
The Null Hypothesis is [tex]H_o : \mu = 0[/tex]
The Alternative Hypothesis is [tex]H_a = \mu < 10[/tex]
The test statistic is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]
Substituting values
[tex]t = \frac{9.63 - 10 }{\frac{0.585}{\sqrt{13} } }[/tex]
[tex]t = - 2.280[/tex]
Now the critical value for [tex]\alpha[/tex] is
[tex]t_{\alpha } = 1.645[/tex]
This obtained from the critical value table
So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected
The conclusion is that the researcher was correct
Every year, census researchers collect data from 850 public and private hospitals across the United States. Which issue will invalidate the conclusion of the hypothesis test? Group of answer choices The data comes from only 850 hospitals in the U.S. when there are 5,700 hospitals in the U.S. Researchers received more data from public hospitals than from private hospitals. The data is selected by choosing the first 850 hospitals from an alphabetized list.
Answer:
Option C
Step-by-step explanation:
For a better, clear and unbiased sampling, choosing randomly might not allow for a biased sampling. Choosing in an alphabetical order might not give a representative of the whole hospitals both private and public, thus invigilator the conclusion of our hypothesis test.
Simplify (-2x^3)2•y•y^9
Simplify (-2x^3)^2 •y•y^9 Answer 4x^6y^10
HELP ME PLEASE , ALOT OF POINTS, CHECK DOCUMENT! Show work
Answer:
x=8
Step-by-step explanation:
log4( x-6) +log4(x) = 2
We know that loga + log b = log (ab)
log4( x-6)(x) = 2
Raise each side to the base of 4
4^log4( x-6)(x) = 4^2
( x-6)(x) = 16
Distribute
x^2 -6x = 16
Subtract 16 from each side
x^2 -6x-16 = 0
Factor
(x-8) (x+2) =0
Using the zero product property
x-8=0 x+2 =0
x=8 x=-2
Checking, we cannot have the log of a negative number so -2 is not a solution
Answer:
x = 8
Step-by-step explanation:
log4(x - 6) + log4(x) = 2
log4[(x - 6) × x] = 2
x² - 6x = 4²
x² - 6x - 16 = 0
x² - 8x + 2x - 16 = 0
x(x - 8) + 2(x - 8) = 0
(x + 2)(x - 8) = 0
x = 8, -2
Log of negative numbers do not exist, so x is only 8
you roll a cube find the probability of rolling an even number?
Answer: 1/2
Step-by-step explanation: Note that to roll an even number, we can roll a 2, 4, or 6.
So there are three ways to roll an even number.
Now let's use our ratio for the probability of an event.
P(event) = number of favorable outcomes/total number of outcomes
Since we want to find the probability of rolling a 3, the number of favorable outcomes for rolling a 3 will go on top in the ratio.
Also, remember that a number cube has six total outcomes.
So 6 will go in the bottom of our ratio
So the probability of rolling an even number is 3/6.
However, we can reduced 3/6 to 1/2.
Always reduce when finding probability.
So the probability or likelihood of rolling an even number is 1/2.
what does 1 1/2+ 2/3+3/4 equal
Answer:
2 11/12
Step-by-step explanation:
1 1/2+ 2/3+3/4
The common denominator is 12
1 1/2*6/6+ 2/3*4/4+3/4*3/3
1 6/12 + 8/12 + 9/12
Add together
1 +23/12
1+12/12 +11/12
1+1+11/12
2 11/12
Part A - find the diameter of the circle?
Part B - Find the circumference of the circle ?
Answer:
A) 16 cm
B) 50.24 cm
Step-by-step explanation:
Part A:
The diameter is double the radius
The radius is half of the diameter
To work out the diameter you would simply multiply the radius of 8 cm by 2, this gives you 16 cm. This is because the radius is half of the length of the diameter.
1) Multiply 8 by 2.
[tex]8*2=16 cm[/tex]
Part B:
The formula for the circumference of a circle is : [tex]\pi *diameter[/tex]
To work out the Circumference you would multiply the diameter of 16 cm by pi, this gives you 50.24 cm. This is because if you were to substitute the value of the diameter into the formula you would get the same result.
1) Multiply pi by 16.
[tex]\pi*16=50.24[/tex]
Pi in this case is 3.14
7.5% of what is 7.38?
Answer:
What =98.4
Step-by-step explanation:
Of means multiply and is means equals
7.5% * What = 7.38
Change to decimal form
.075 * what = 7.38
Divide each side by .075
.075 What /.075 = 7.38/.075
What =98.4
Answer:
the answer for this question is 98.4
2x2+3y=-2 solve for y
Answer:
y=(-2/3)x^2-(2/3)
Step-by-step explanation:
2x^2+3y=-2
3y=-2x^2-2
y=(-2/3)x^2-(2/3)
Answer:
y= -2
Step-by-step explanation:
2x2+3y=-2
4+3y=-2
Subtract 4 from both sides
3y=-6
Divide both sides by 3
y= -2
In my case, x means multiplied by not a variable.
What is the 25th term of this arithmetic sequence?
{8, 5, 2,-1,-4, ...}
Type the correct answer in the box. Use numerals instead of words.
Answer:
Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term
24x3=72
subtract 72 to find the term
8-72=-64
Should be -64 but we will still continue the pattern to double check
8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64
-64 is the 25th term
Hope this helps
Step-by-step explanation:
Convert the degrees measure 180° to radian measure.
Answer:π
Step-by-step explanation:
180°=π
