Answer:
[tex]log 9! = a-1[/tex]
Step-by-step explanation:
[tex](log10! = a) = (10^{a} = 10!)\\\\\\10! = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9!\\\\\frac{10^a}{10^1} = 9!\\\\10^{a-1} = 9!\\\\log9! = a-1[/tex]
The expression for log 9! in terms of a is [tex]log9! = a - 1[/tex].
Given that,
Let log 10! = a.Based on the above information, the calculation is as follows:
[tex](log10! = a) = (10^{a} = 10!)\\\\10! = 10\times 9\times 8\times 7\\\\10^{a} = = 10\times 9\times 8\times 7\\\\10^{a} = 10\times 9!\\\\\frac{10^{a}}{10^{1}} = 9!\\\\10^{a - 1} = 9!\\\\log9! = a - 1[/tex]
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Johanna wrote the system of equations. 4 x - 3 y = 1, 5 x + 4 y = 9. If the second equation is multiplied by 4, what should the first equation be multiplied by to eliminate the x-variable by addition?
Answer:
The first equation must be multiplied by -5 to eliminate x variable by addition
Step-by-step explanation:
4 x - 3 y = 1 (1)
5 x + 4 y = 9 (2)
If the second equation is multiplied by 4
5x+4y=9. ×4
We have,
20x+16y=36 (3)
The first equation should be multiplied by -5 to eliminate x variable by addition
4x-3y=1 × -5
We have
-20x+15y=-5 (4)
Add equation (3) and (4) to eliminate x variable
20x+16y=36
-20x+15y=-5
31y=31
Divide both sides by 31
y=1
Substitute y=1 into equation (1)
4 x - 3 y = 1
4x-3(1)=1
4x-3=1
4x=1+3
4x=4
Divide both sides by 4
x=1
Answer:
To eliminate x
We multiply Equation 1 by -5
The results are
X = 1
Y= 1
Step-by-step explanation:
4 x - 3 y = 1. .............Equation 1
5 x + 4 y = 9........... Equation 2
If equation 2 is multiplied by 4
4*(5x + 4y = 9)
20x + 16y = 36...... Equation 3
To eliminate x
We multiply Equation 1 by -5
-5*(4 x - 3 y = 1. )
-20x +15y = -5 ..... Equation 4
So we add Equation 3 and Equation 4
31y = 31
Y = 1
Substitute y into Equation 1
4x = 4
X = 1
Miguelito vende camisas de vestir . En el local le cobran $150 de alquiler; comprq cada camisa en $3.00 y la vende en $5.00. Cuanto es el numero minimo de camisas que debe vender para tener ganancias.
Answer:
[tex]x_{min} = 75\,camisas[/tex]
Step-by-step explanation:
El número mínimo de camisas a vender es igual al costo de alquiler del local dividido por la diferencia entre los valores de venta y compra de cada camisa. (The minimum amount of shirts to be sold is equal to the rental cost of the retail space divided by the difference between sell and purchase cost per shirt):
[tex]x_{min} = \frac{\$ 150}{\$ 5 - \$ 3}[/tex]
[tex]x_{min} = 75\,camisas[/tex]
Miguelito debe vender un mínimo de 75 camisas para obtener ganacias. (Miguelito must sell a minimum of 75 shirts to make a profit.)
6th GRADE MATH:
Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the ounce to mail the package. How much does the package weigh in ounces?
Answer:
200 ounces
Step-by-step explanation:
200 ounces. because each pound has 16 ounces and 12.5 pounds has 200 ounces
Answer:
200 ounces.
Step-by-step explanation:
A pound contains 16 ounces.
pound : ounces
1 : 16
12.5 : 200
Was doing my work and need help
Answer:
the answer is 3/20
Step-by-step explanation:
Stir-fry is tony's favorite food to cook, but it always makes a lot of smoke! Tony needs to know the volume of his kitchen so he can buy a fan that is the right size. Tony's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of tony's kitchen?
Answer:
Volume = 680 ft³
Step-by-step explanation:
Given
Floor Area = 85 ft²
Height = 8 ft
Required
Volume of the Kitchen
To solve this, it'll be assumed that Tony's kitchen has a regular shape.
Having said that, the volume of Tony's kitchen is calculated as thus.
Volume = Floor Area * Height.
Substitute the values of floor area and height
Volume = 85ft² * 8ft
Volume = 680 ft³
Hence, the volume of Tony's kitchen is 680ft³
Which expressions are equivalent to
x+x+x+2?
Answer:
3x + 2
Step-by-step explanation:
x = 1x but leaving the x alone equals the exact thing.
If there are x + x + x, this means 3x since it is also
1x + 1x + 1x.
This is another expression for 3x + 2.
A charity organization had to sale 18 tickets to their fundraiser Just to cover necessary production cost.They sold each ticket for $45.Let y represent the net profit in dollars when they have sold x tickets
A charity organization had to sale 18 tickets to their fundraiser Just to cover necessary production cost.They sold each ticket for $45.Let y represent the net profit in dollars when they have sold x tickets
Which of the following information about the graph of the relationship is given?
Choose 1 answer:
A
Slope and x-intercept
B
Slope and y-intercept
C
Slope and a point that is not an intercept
D
x-intercept and y-intercept
E
y-intercept and a point that is not an intercept
F
Two points that are not intercepts
Answer:
A. Slope and x-intercept
Step-by-step explanation:
We are told that each Ticket cost $45 , so the number of ticket sold should be multiplied by the cost of 1 ticket , Also; we were informed that x tickets were sold, this implies that the amount will be $45 multiplied by x , which is $45x. To find the profit (y) , then we must find the cost of 18 tickets which will give us the cost price and then subtract it from the selling price ($45x).
NOW:
Given that :
a charity organization had to sell 18 tickets
and one ticket cost for $45
Then 18 tickets = $45 × 18 = $810
Let y represent the net profit in dollars when they have sold x tickets
So : y = 45 x - 810
Relating the above equation with equation of a straight line y = mx +c ,
where :
m and c = the numbers on the gradient line ; &
y = slope
x = intercept where the graph crosses y - axis
Thus; the information given is the :Slope and x-intercept
what place value is the 8 in in the number 475.082
The place value is the 8 in in the number given is 8 hundredths.
What is place value?The place value is the position of each digit in a number. The place value of digits is determined as ones, tens, hundreds, thousands,ten-thousands and so on, based on their position in the number.
The place value =
Ones, tens, hundreds, thousands, ten-thounsands.
Place value names to the right of the decimal work in a similar way, only given that they are given fractional names because, well, they're fractions of one:
tenths: 0.1 = 1/10
hundreths: 0.01 = 1/100
thousandths: 0.001 = 1/1000
ten-thousandths: 0.0001 = 1/10000
and so on.
As the 8 is in the second unit value over, that means it's in the hundredths place. That means that its value is eight hundredths.
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Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9 Veronique: A = 1,800 (1 + 0.05) Superscript 7, Lily: A = 1,000 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9
Answer:
Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7
Step-by-step explanation:
the equation used to calculate future value of an investment (or bank deposit) using compound interest is:
future value = present value x (1 + interest rate)ⁿ
Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47Answer:
the answer would be A
Step-by-step explanation:
what the person above said.
Will give brainliest! I only need e f and g done!!!!
Answer:
E) the new price is going to be $3.92
Work: 3.50 × 12 / 100 = 0.42
3.50 + 0.42 = 3.92
F) Dont understand what this one is asking
G) You would save 1.03$ with the 10% off.
Work: 10.3 x 10 / 100
103 / 100
$1.03
hope this helps
The scores for the Algebra 2 CFE are normally distributed with a mean score of 43 and
a standard deviation of 3.8. If you scored 47 on the test, what percentage of test takers
scored lower than you? Do not round your answer. [percent]
Answer:
85.375%
Step-by-step explanation:
We would be using the z-score formula which is
z = (x-μ)/σ, where
x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
In the question, we are given:
x is the raw score = 47
μ is the population mean = Mean score = 43
σ is the population standard deviation = 3.8
z = (x-μ)/σ
z = (47- 43)/ 3.8
z = 4/3.8
z = 1.0526315789
The z score = 1.0526315789
Checking my z score on my normal distribution table,
The percentage of test takers that scored lower than you =
[1 - P(x>Z)] × 100
= ( 1 - 0.14625) × 100
= 0.85375 × 100
= 85.375%
Therefore, the percentage of test takers that scored lower than you is 85.375%
Pls help I am stuck on this question
Answer:
153.94 cm
Step-by-step explanation:
a = r^pi squared
r = d/2
7^pi = 21.98
21.98 squared = 153.94 cm
Answer:
see below
Step-by-step explanation:
The diameter is 14 cm
The radius is 1/2 of the diameter
r = d/2 = 7cm
We want to find the area
A = pi r^2 where r is the radius
If pi = 3.142
A = 3.142 ( 7)^2
A =153.958 cm^2
If pi = 3.14
A = 3.14 ( 7)^2
A =153.86 cm^2
Depends on the value of pi
Pls help with 9 and Tysm
Answer:
the last one
Step-by-step explanation:
a number used to multiply a variable
On Rectangle QRST below, if Q is located at -6,-1 and S is located at 1, 5, find RT
Answer:
[tex]|RT|=\sqrt{85}$ units[/tex]
Step-by-step explanation:
On Rectangle QRST
QS is congruent to RT since they are opposite side of a rectangle.
If Q is located at (-6,-1) and S is located at (1, 5), we simply find the length of QS using the distance formula.
For points [tex](x_1,y_1)$ and (x_2,y_2)[/tex] on the coordinate axis,
Distance[tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this case,[tex](x_1,y_1)=(-6,-1)$ and (x_2,y_2)=(1, 5)[/tex]
[tex]|QS|=\sqrt{(1-(-6))^2+(5-(-1))^2}\\=\sqrt{(1+6)^2+(5+1)^2}\\=\sqrt{(7)^2+(6)^2}\\|QS|=\sqrt{85}$ units[/tex]
Since
[tex]|QS| \cong |RT|\\ |RT|=\sqrt{85}$ units[/tex]
Which of the pairs of angles are vertical angles and
thus congruent?
Answer:
When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. ... Two angles are said to be complementary when the sum of the two angles is 90°.
Step-by-step explanation:
Answer:
A+G
Step-by-step explanation:
:D
keisha estimates 259 + 279 by rounding each number to the nearest 10. what is keisha's estimate of the sum?
Answer:
540
Step-by-step explanation:
259 + 279 = 538
Rounded to nearest 10
= 540
How many blocks with dimensions of 3 x1x1 can fit in a unit cube?
1
1
Please answer. Will mark the brainliest and will give 20 points.
The two-way table of column relative frequencies below shows data on whether or not a person has internet access and their preferred method to communicate with friends.
Based on the data, which of the following statements must be true?
(Choice A)
A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access.
(Choice B)
A person with internet access is more likely than a person without internet access to prefer the wired telephone to communicate with their friends.
(Choice C)
A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.
(Choice D)
More people without internet access prefer using social networking than people with internet access.
Answer: it is C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I got it right. pls give brainliest have a good day !
Which ordered pair needs to be removed in order for the
mapping to represent a function?
(-3,-4)
(-2, -1)
(1, -3)
(3.7)
Answer:
1, -3
Step-by-step explanation:
I'm pretty sure it's that one because it doesn't fit with the others.
The number y of raccoons in an area after x years can be modeled by the function y= 0.4x^2+2x+2. When were there about 45 raccoons in the area? Round your answer to the nearest year
Answer:
A timeframe of 8 years is when there were 45 raccoons in the area.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStandard Form:
[tex]\displaystyle ax^2 + bx + c = 0[/tex]
Quadratic Formula:
[tex]\displaystyle x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \begin{aligned}y & = 0.4x^2 + 2x + 2 \\y & = 45 \ \text{raccoons} \\\end{aligned}[/tex]
Step 2: Find Specific Year
We are trying to find the year when there were 45 raccoons present in the area. From first glance, we see we probably can't factor the quadratic expression, so let's set up to use the Quadratic Formula:
[Model Equation] Substitute in y:Now that we have our variables from Standard Form, we can use the Quadratic Formula to find which years when there were 45 raccoons present in the area:
[Quadratic Formula] Substitute in variables:Since time cannot be negative, we can isolate the other root to obtain our final answer:
[tex]\displaystyle\begin{aligned}x & = 8.16536 \ \text{years} \\& \approx \boxed{ 8 \ \text{years} } \\\end{aligned}[/tex]
∴ we have found the approximate amount of years to be 8 years when there were 45 raccoons in the area.
___
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Topic: Algebra I
what does this expression represent five times the quotient of some number and ten
Answer:
5(n/10)
Step-by-step explanation:
quotient of some number and ten=n/10
five time=*5
put it togther=5(n/10)
?
help please........................................................
Answer:
-13/24
Step-by-step explanation:
find the common denominator then add
Help me find the mean of
68, 71, 75, 74, 77, 71, 73, 71, 72, 74, and 79.
Answer: 73.189 (rounded)
Step-by-step explanation:
When you add fractions is the sum always greater than 1?
Answer:
Not always
Step-by-step explanation:
Some fractions, like 1/2, if you add it with 1/2, it equals one.
Halves will always equal one, and they are fractions too, so technically not all addition of fractions are greater than 1.
hope this helped
What is a solution for the inequality y-7<-12
Answer:
y<-5
Step-by-step explanation:
y-7<-12
y<-5
Answer:
The answer is y is less than -5
Step-by-step explanation:
Please Help!! In a discount store, 12% of the 100 cups in stock have some unnoticeable defect. What is the probability of buying 12 cups that don’t have any defect? And what is the probability of getting all 12 cups having a defect?
≈Answer:
a)What is the probability of buying 12 cups that don’t have any defect?
0.1955
b) And what is the probability of getting all 12 cups having a defect?
9.52 × 10⁻¹⁶
Step-by-step explanation:
In the question,we are given the following values:
12% of the 100 cups in stock have some unnoticeable defect.
The number of cups that have defect in stock is calculated as:
12/100 × 100 = 12 cups
The number of cups that doesn't have defect is calculated as:
Total number of cups in stock - Number of cups in stock that have defect.
100 - 12 = 88 cups
a) What is the probability of buying 12 cups that don’t have any defect?
Probability Formula = Number of events/ Number or possible outcomes.
The probability of buying cups that don't have any defect =
88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89 = 0.1955138721
Approximately = 0.1955
b) And what is the probability of getting all 12 cups having a defect?
Probability Formula = Number of events/ Number or possible outcomes.
= 12/100 × 11/99 × 10/98 × 9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89
= 9.519991996 ×10⁻¹⁶
Approximately = 9.52 × 10⁻¹⁶
Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,3) and (3,6)
Answer:
1.5
Step-by-step explanation:
Plug in numbers into the distance formula.
y2-y1
____
x2-x1
6 - 3. 3
____. ___
3 - 5. -2
3/-2=-1.5
Answer:
3.6 or Sqrt(13)
Step-by-step explanation:
plug into distance formula
(3-5)^2 + (6-3)^2
4 + 9
Sqrt(13)
Sqrt(13) is equal to 3.6055127546
^ is rounded up to 3.6
What is a intersection
Answer:
Intersection means a line common to other lines and an action of intersection/intersecting.
hope it helps!
What is the slope-intercept form of an equation of a line perpendicular to y=2x−3 and passing through the point (5,−1)?
Answer:
y=-2x+9
Step-by-step explanation:
1. Make m value opposite of og m value.
2. Then plug in variables x and y into the equation
3. Solve for b
-1 = -2(5) + b
9 = b
4. You have the answer
Given the points A(-2, 4) and B(7, -2), find the coordinates of the point P on directed line segment that partitions AB in the ratio 1:2.
The coordinates of the point P on directed line segment that partitions AB in the ratio 1:2 is (4, 0)
Given the point A (-2, 4) and B(7, -2). The coordinate of the point P on the line segment that partitions AB in the ratio 1:2, is expressed as:
[tex]P(X, Y) = (\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})[/tex]
Substitute the given coordinates where a = 1 and b = 2
[tex]P(X, Y) = (\frac{1(-2)+2(7)}{1+3}, \frac{1(4)+2(-2)}{1+2})\\P(X, Y) = (\frac{-2+14}{3}, \frac{4-4}{1+2})\\P(X, Y) = (\frac{12}{3},\frac{0}{3})\\P(X, Y) = (4, 0)\\[/tex]
Hence the coordinate of point P is (4, 0)
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