Answer:
81 100 121 144 169 196 225 256
17 19 21 23 25 27 29 31
Step-by-step explanation:
the formula is to square the number then subtract the preceding number in the box
Find the total cost of 901 computers that cost $508 each.
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
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
SOMEONE TELL ME IF IM CORRECT AND TELL ME HOW MUCH TO COLOR IN!!!!
Answer:
Seems correct. I would never use pen for a math assignment though ;-;
Here’s the answer sheet lol.
Step-by-step explanation:
Select the expression that matches the scenario correctly. On January 1, the high temperature was 81 F in Kona, Hawaii the low temperature was -29 F in Barrow, Alaska. What was the difference between the two temperatures?
A. -29 + 81
B. |89 - 21|
C. |81 - (-29)|
D. 36 divided 6
Answer: |81 - (-29)|==> C
Step-by-step explanation:
h=high temperature
h=81
l=low temperature
l=-29
d=difference in high and low temperature
h-l=d
81-(-29)=d
81+29=d
d=110 ==> |81 - (-29)|=|81 +29|=|110|=110
|81 - (-29)|==> C
|81 -29|=|52|=52
-29 + 81=81-29=52
Please help me with this (Due in a few hours.)
Answer:
27
Step-by-step explanation:
7x(92+7) = (7x92)+(7x_)
Answer:
34
Step-by-step explanation:
hutbjj jugo uva bombom
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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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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A cube has a side length of 3x^6 units. a smaller cube has a side length of x^2. how many smaller cubes will fit in the larger cube
[tex]27x^{12}[/tex] smaller cubes will fit in the larger cube.
Given,
Side length of the smaller cube = [tex]x^{2}[/tex] units.
Side length of the larger cube = [tex]3x^{6}[/tex] units.
We have to find the number of smaller cubes that can be fitted in the larger cube.
Volume of cube is given by the formula,
Volume = (side)³
Volume of the larger cube = [tex](3x^{6} )^{3}[/tex] = [tex]27x^{18}[/tex]units³
Volume of the smaller cube = [tex](x^{2} )^{3}[/tex] = [tex]x^{6}[/tex] units³
Let the number of smaller cube that can be fitted in the larger cube = n
Volume of n cubes = [tex]nx^{6}[/tex] units³
If space inside the larger cube will be occupied by 'n' smaller cubes,
volume of n smaller cubes = Volume of a larger cube
[tex]nx^{6}[/tex] = [tex]27x^{18}[/tex]
n = [tex]27x^{12}[/tex]
Therefore, [tex]27x^{12}[/tex] smaller cubes can be fitted in the larger cube.
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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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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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(6x2-6x+4)-(x2-5x-9)
Draw a valid conclusion from the given statements, if possible. Then state whether your conclusion was drawn using the Law of Detachment or the Law of Syllogism. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.
Given: If a quadrilateral has diagonals that bisect each other, then it is a parallelogram.
The diagonals of quadrilateral PQRS bisect each other
No valid conclusion drawn from the statements.
You can "detach" the hypothesis from the conclusion using the law of detachment. More specifically, if p and p -q are known to be true, we can infer that q is true. On the other hand, we can cram conditional statements together using the law of syllogism. When p-q and q-r are known to be true, they can be combined to form p-r. After all, it would be silly-gism to go through q when we can just go from p to r.
P = quadrilateral has diagonals
Q = quadrilateral diagonals bisect each other
R= the quadrilateral is a parallelogram
Statement P is true because all quadrilaterals have 2 diagonals that runs from one edge to another eg square, rectangle, parallelogram, kite etc
Statement Q is False because not all quadrilateral's diagonals bisect each other as in the case of trapezium, likewise quadrilateral whose diagonals bisects each other are not only parallelogram, kite, square and rectangle diagonals bisect each other.
Statement R is False because a quadrilateral whose diagonals bisect each other is not only parallelogram. Square, rectangle and Kite diagonals also bisect each other, and they are also parallelogram.
Therefore, no valid conclusion made from the statements because parallelogram is not the only quadrilateral whose diagonals bisect each other and not all quadrilateral's diagonals bisect each other.
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Use the graph to answer the following question.
The figure shown was transformed from Quadrant II to Quadrant IV .
Which of the following BEST represents this transformation?
reflection over the x-axis followed by a dilation of scale factor 2
rotation 90° clockwise followed by a reflection over the y-axis
reflection over the y-axis followed by a translation down 6 units
reflection over the x-axis followed by a translation right 5 units
The transformation is rotation 90° clockwise followed by a reflection over the y-axis
How to use the graph to answer the question?The question is given as
Which of the following BEST represents this transformation?
From the question, we have the figure shown to be
A transformation of a figure from Quadrant II to Quadrant IV
From the figure, we can see that the shapes in both quadrants have the same dimensions
This means that the shapes are not dilated
However, the orientation of the figures are difference
Because of the positioning of the shapes, we can conclude that the transformaton is rotation 90° clockwise followed by a reflection over the y-axis
Hence, the transformation is rotation 90° clockwise followed by a reflection over the y-axis
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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
) 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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3z - 7.1 = -4.1
What dose Z =
Answer:
4.1
Step-by-step explanation:
madookoo doo doo
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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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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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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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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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:
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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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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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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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
Which point is located at (5,-2)?
-7-8-54
+
point A
point B
point C
point D
revious Activity
0₂
8
7654
4
3-
2-
4
7 7 3 7 8 9
-2-
Mark this and return
1234567 x
16
C
D
Save and Exit
Next
Submit
Based on the attached graph, the point that is located at (5,-2) is point F
How to determine which point is located at (5,-2)?The graph that completes the question is added as an attachment
The point located at (5,-2) implies that the coordinates of the point are
x-coordinate = 5
y-coordinate = -2
From the attached graph, we can see that the point F has the following properties
x-coordinate = 5
y-coordinate = -2
This means that the point F is located at (5,-2)
Hence, the point that is located at (5,-2) is point F
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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