Answer:
Step-by-step explanation:
Factory workers can make 18 items in 15 hours. How many hours will it take
to make 12 items at this rate?
Answer:
10 hours
Step-by-step explanation:
Unit rate 18 items / 15 hrs = 1.2 items pe hour
12 items / 1.2 items / hour = 10 hours
Solve each equation. Check your answers. 4 e x⁻¹=64
According to the given equation(4 e x⁻¹=64) the value will be = x=4ln(2)−(−1).
Definition of logarithm:Logarithms are another technique to express exponents. An integer's baseline logarithm matches another number. A logarithm is the inverse of exponentiation.
According to the given data:Given : 4 e x⁻¹=64
STEPS USING DEFINITION OF LOGARITHM
4e ^(x−1) =64
To resolve the equation, use exponents and logarithms laws.
4e^x−1 =64
Divide both sides by 4.
e^x−1 =16
Take the logarithm of something like the equation's two sides.
loge^x−1 = log16
Divide both sides by log(e).
[tex]x-1=\frac{\log (16)}{\log (e)}\\[/tex]
By the change-of-base formula [tex]\frac{\log (a)}{\log (b)}=\log _b(a)[/tex]
x−1=log e(16)
add1 from both components of the equation.
According to the given equation(4 e x⁻¹=64) the value will be = x=4ln(2)−(−1)
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Two objects are similar if they have.
the same shape. a)different shapes. b)the same shape and size. c)different shapes and sizes.
Answer: Pretty sure its B. The same shape and size.
Step-by-step explanation:
The postal service charges $2 to ship packages up to 5 ounces in weight, and $0.20 for each additional ounce up to 20 ounces. After that, they charge $0.15 for each additional ounce.
Using it's concept, the domain of the relation is given as follows:
x ≥ 0.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input of the function.The range of a function is the set that contains all the values of the output of the function.In a graph, the domain and the range are found as follows:
The domain is given by the values of x, present in the horizontal axis of the graph.The range is given by the values of y, present in the vertical axis of the graph.From the graph, we have that the weights of the packages assume all values to the right of 0, hence the domain of the relation is given as follows:
x ≥ 0.
What is the missing information?The relation is incomplete, and is given by the graph at the end of the answer.
The question asked is the domain of the relation.
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Find the total cost of 901 computers that cost $508 each.
On a bicycle trail, the city is painting arrows like the one shown below:
Upper pointing arrow with height of 11 and length of 9. Rectangular base of arrow has length of 7 and height of 8. All units are in centimeters.
Calculate the area of the arrow by decomposing it into rectangles and triangles.
66.5 square centimeters
69.5 square centimeters
83 square centimeters
99 square centimeters
giving brainlyiest
If Upper pointing arrow with height of 11 and length of 9. Rectangular base of arrow has length of 7 and height of 8. All units are in centimeters. The area of the arrow by decomposing it into rectangles and triangles is: 69.5 square centimeters.
Total areaFirst step is to determine the Area of triangle using this formula
Area of triangle= ½×breadth ×height
Where:
Breadth=9
Height of triangle= 11 - 8
Height of triangle = 3cm
Area of triangle= ½ × 9 × 3
Area of triangle = 13.5 cm²
Second step is to determine the area of rectangle
Area of rectangle= length × breadth
Area of rectangle= 8 × 7
Area of rectangle= 56 cm²
Third step is to determine the total area
Total area=Area of triangles+ Area of rectangle
Total area = 13.5 + 56
Total area= 69.5 cm²
Therefore the area of the arrow by decomposing it into rectangles and triangles is: 69.5 square centimeters.
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3z - 7.1 = -4.1
What dose Z =
Answer:
4.1
Step-by-step explanation:
madookoo doo doo
Please help me with this (Due in a few hours.)
Answer:
27
Step-by-step explanation:
The range of f(x) = |x| is y ≥ 0. If a < 0 for g(x) = a|x|, what is the range of function g?
the range of the function g(x) will be y ≤ 0.
What is the range of g(x)?We know that the absolute value function g(x) can be written as:
g(x) = a*|x|
Remember that the range of f(x) = |x| is y > 0, and a is a negative number, so the function is reflected over the horizontal axis.
Then the maximum value will be when x = 0, then:
g(0) = a*|0| = 0, that is the maximum.
And then the function opens downwards. Then the range will be y ≤ 0.
So the range of the absolute value function g(x) is the set of all real values equal to or smaller than zero.
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Multiply and simplify. ∛9 . ∛9
Radical expression containing third root terms will be first multiplied and then simplified to its simplest form.
A radical expression is a mathematical expression containing a radical symbol (√). A radical expression contains three distinct parts:
1. A radical symbol which is the square root sign.
2. A radicand which is a component inside the radical,
3. A degree which is the root represented by the radical.
In the given expression, the radicand is 9 while the degree is 3.
As the degree is the same for both the terms, we can multiply the radicand.
Multiplying the radicand terms,
∛(9*9)=∛81
Simplifying the radicand,
∛(3*3*3*3)
Taking the cube root and simplifying,
3∛3
Hence, ∛9.∛9 = 3∛3
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Use the proportion d / 180° = r radians/πradians . Find the equivalent degree measure or radian measure 415°
Answer:
the answer is the 235⁰ ok that
Select the correct answer. The following function describes the number of employees working at a company, in thousands, where t represents the number of years since the company revised the benefits package. A. The number of employees is decreasing by 90% every year. B. The number of employees is increasing by 90% every year. C. The number of employees is increasing by 50% every year. D. The number of employees is decreasing by 10% every year.
Answer:
c the number of employees is increasing by 50% every year
Answer:
c. number of employees is increasing by 50% every year
The formula F(C) = 9/5C + 32 calculates the temperature in degrees Fahrenheit, given a temperature in degrees Celsius.
You can find an equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit by finding the function’s
The function C(F) to calculate the temperature in degrees Celsius for a given temperature in degrees Fahrenheit will be equal to [tex][(\frac{5}{9}F) -\frac{160}{9}][/tex]
As per the question statement, the formula [F(C) = 9/5C + 32] is to calculate the temperature in degrees Fahrenheit for a given a temperature in degrees Celsius.
We are required to determine the function to calculate the temperature in degrees Celsius for a given temperature in degrees Fahrenheit.
Since, [F(C) = 9/5C + 32],
[tex]or, [F = \frac{9}{5} C + 32]\\or, (F-32)= \frac{9}{5} C\\or, \frac{9}{5} C=(F-32)\\or,C=\frac{5}{9} (F-32)\\or,C=\frac{5}{9}F-\frac{160}{9}[/tex]
That is, the function to calculate the temperature in degrees Celsius for a given temperature in degrees Fahrenheit is [tex]C(F)=[(\frac{5}{9}F) -\frac{160}{9}][/tex].
Function: In Mathematics, a function is an operator, which when fed with a input, will perform a specific set of operations on the input and then produce a certain output.To learn more about Functions, click on the link below.
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Answer:
inverse
C(F)=5/9F-106/9
check all
Step-by-step explanation:
23
) In the next several games, the pitcher threw a total of
384 pitches and used a fastball 240 times. What
decimal should Juanita use to update her report?
Juanita should use the decimal
to update her
juanita should use 0.625 to update her report.
given that the pitcher threw 384 pitches and used fastball 240 times.
according to the information
240÷ 384
To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.
How do you divide decimals step by step?
The step-wise procedure for dividing decimals by a whole number is given below:
Step 1: Write the given division expression in the standard form.
Step 2: Now, we have to divide the decimal number's whole number part by the divisor.
Step 3: Place the decimal point in the quotient above the dividend's decimal point and then bring down the tenths' digit.
Step 4: If the tenth digit of the obtained dividend cannot be divided by the divisor, write 0 in the quotient and in front of the tenths' digit. Otherwise, proceed with the division process.
Step 5: Repeat the above step and keep adding the zeroes in the dividend until 0 is obtained in the remainder.
240 ÷ 384
⇒ 0.625
so juanita should use 0.625 to update her report
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((12-18)/3-5) multiplied by (-4)
Answer:-8
Step-by-step explanation:hope it helps, brainliest? i could really use it
Write each logarithmic expression as a single logarithm. 3 log a-2 log b
The logarithmic expression as a single logarithm is log. a³/b²
What is defines as the logarithmic functions?A logarithmic and even sometimes log function is the inverse of an exponential function. We could employ a log function to find an exponent.
We should be able to transform between logarithmic as well as exponential forms in order to calculate earthquake magnitudes and otherwise correlate the magnitudes of two distinct earthquakes.
Let's use this information to make our log. Here is the logarithmic function:
Quotient Rule: ㏒(A/B) = ㏒A - ㏒BProduct Rule : ㏒A + ㏒B = ㏒(AB)Power Rule: n㏒A = ㏒AⁿBase Rule = ㏒ₐb = ㏒ₓb/㏒ₓaExponent Rule = e∧lnx = xNow, as for the represented expression;
= 3 log a-2 log b
Using the power rule in both of the terms.
= log a³- log b²
Now, applying the Quotient Rule,
= log a³/b²
Therefore, the obtained single logarithm for the given logarithmic expression is log a³/b².
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For each set of values, determine which is greater without using a calculator. √10 or √2 + √3
√10 is greater than √2 + √3 .
First we assume that √10 is greater than √2 + √3. Then we check if this relation is true.
So suppose that √10 > √2 + √3
On squaring both sides and using the algebraic identity [tex](a+b)^2=a^2+b^2+2ab[/tex],
⇒ 10 > 2 + 3 + 2√6
⇒ 10 > 5 + 2√6
Subtracting 5 from both sides, we get,
⇒ 5 > 2√6
Again squaring on both sides,
⇒ 25 > 4 x 6
⇒ 25 > 24
This is a true relation. So our assumption that √10 is greater than √2 + √3 was right.
Therefore, √10 > √2 + √3
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A polygon is shown on the graph:
Type A Correct answer or i will report brainliest will be given
.
If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. (5 points)
The translation of the polygon 3 units down and 4 units left is;
A''(-2, -4)
B"(-3, -7)
C"(-1, -8)
D"(1, -6)
What is the transformation of the object?We are given the coordinates of the polygon as;
A(2, -1), B(1, -4), C(3, -5), D(5, -3)
Now, we are told that all points are translated 3 units down and 4 units left. Thus, the new coordinates are;
A'(2, -1 - 3) = A'(2, -4)
B(1, -4 - 3) = B'(1, -7)
C(3, -5 - 3) = C'(3, -8)
D(5 , -3 - 3) = D'(5, -6)
Translation of 4 units left is now;
A''(2 - 4, -4) = A''(-2, -4)
B"(1 - 4, -7) = B"(-3, -7)
C"(3 - 4, -8) = C"(-1, -8)
D"(5 - 4, -6) = D"(1, -6)
The translation of the polygon 3 units down and 4 units left is;
A''(-2, -4)
B"(-3, -7)
C"(-1, -8)
D"(1, -6)
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What is each expression written as a single logarithm?
b. 2 log₄6- log₄9
The single logarithm for the given expression (2 log₄6 - log₄9) is 1.
The given logarithmic expression is 2 log₄6 - log₄9.
Use the ability rule of the logarithm logₐ(Xⁿ) = n logₐ(X), to get 2
log₄6 - log₄9= log₄6² - log₄9
= log₄36 - log₄9 (Since 6² = 36)
Use the quotient rule of the logarithm logₐ(X/Y) = logₐ(X) - logₐ(Y), to get:
log₄36 - log₄9= log₄(36/9) = log₄(4)
(Dividing 36 by 9, to get, 36 ÷ 9 = 4)
= 1 (Since logₐ(a) = 1)
Therefore, the one logarithm for the given logarithmic expression (2 log₄6 - log₄9) is 1
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I don't understand this question
The probabilities of all possible outcomes must sum to 1. So the missing probability is
1 - 1/2 - 3/10 - 1/20 = (20 - 10 - 6 - 1)/20 = 3/20
The sum of three consecutive integers is -51. Find the value of the greatest of the three.
Answer:
The value of the greatest of the three is -16
How to find the value of the greatest of the three?Let the smallest of the integers be x - 2
So, the other integers are x - 1 and x
The sum of the integers is given as
Sum = -51
So, we have the following equation
x - 2 + x - 1 + x = -51
Evaluate the like terms in the above equation
So, we have the following equation
3x = -48
Divide both sides of the equation by 3
So, we have the following equation
x = -16
Hence, the value of the greatest of the three is -16
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7x(92+7) = (7x92)+(7x_)
Answer:
34
Step-by-step explanation:
hutbjj jugo uva bombom
Question
You have 150 pieces of fabric to make a quilt. Each piece of fabric is a square with a side length of 4 inches. You use as many pieces of fabric as possible to create a square quilt.
The most pieces of fabric that can be used is 144 pieces, making a quilt with 12 pieces on each side.
What is a square?The square is a term to refer to a geometric figure that is characterized by being a type of parallelogram with four sides of equal length. A square is a regular polygon that has all its sides equal, and its interior angles measure 90º.
How to calculate what is the maximum number of pieces I can use to make a square quilt?To identify the number of square pieces that I can use to make a square quilt, I must keep in mind that to create a square quilt I must put the same number of pieces on each side of the quilt so that it forms a perfect square.
To identify the maximum number of pieces needed, we can try taking the square root of 150, 149, 148, 147... until the result is a integer number (no decimals). In this case the first integer that appears is 12 by taking the square root of 144 as shown below.
[tex]\sqrt[2]{144} = 12[/tex]
This means that to make a square quilt we must use 144 pieces in total and place 12 pieces on each side of the square. Additionally we can state that the side length of this quilt is 48 inches because each piece measured 4 inches on a side.
4 inches × 12 = 48 inches.
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12. is the set of real numbers closed under addition? explain why or why not. if it is not closed, give an example
Yes , the set of real numbers closed under addition because on adding them we get a new number .
A set is closed (under associate operation) if and on condition that the operation on any 2 components of the set produces another part of a similar set.If the operation produces even one part outside of the set, the operation isn't closed.
The set of real numbers is closed below addition. If you add 2 real numbers, you'll get another complex quantity. there's no chance of ever obtaining something apart from another complex quantity.
5 + 12 = 17
2.5 + 3.4 = 5.9
As , we get another quantity on adding real number , hence it is closed under addition.
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5/7x + 1/7 = 3
please simplify!!
Answer:
x=4 that is it i believe and bc i did it
1.242-(-2.9) plss need explanation
Answer:
Step-by-step explanation:
When there are two negatives it equals a positive-
[tex]1.242-(-2.9) = 1.242+2.9\\ \\ =4.142[/tex]
Answer = 4.142
(6x2-6x+4)-(x2-5x-9)
how can you use the properties of operations to evaluate 18+4(28)
Answer:
130
Step-by-step explanation:
18+4(28)
18+112
130
Expand each logarithm. log 2 x³y⁻²
The expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
What is a logarithmic function?
A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1
Expanding the given logarithm: log 2 x³y⁻²
Given logarithmic expression is log 2 x³y⁻²
Applying given properties of logarithmic function;
log a + log b = log (ab)
2 log a = log a^2
Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²
= log 3 + 3 log x - 2 log y
Hence, the expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
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what is the solution set of this inequality 1<|x-3|<5
Answer:
-5 ≤ x ≤ 3
Interval notation : [-5 , 3]
Step-by-step explanation: