Polygon ABCD was rotated 270° about point Z to form polygon A"B"C"D"
What is a transformation?Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.
Polygon ABCD was rotated 270° about point Z to form polygon A"B"C"D"
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Answer:
It's D
Step-by-step explanation:
Got it right
What is the value of In e^4?
0 0
O 1
02
04
Answer:
4
Step-by-step explanation:
[tex]In(e^4)[/tex] = [tex]4In(e)[/tex]
= 4 x 1
= 4
The value of the expression ln([tex]e^4[/tex]) is 4.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The natural logarithm (ln) is the inverse function of the exponential function,
[tex]e^x[/tex].
ln([tex]e^4[/tex]) = 4,
since ln([tex]e^4[/tex]) "undoes" the exponentiation of [tex]e^4[/tex].
So the value of ln([tex]e^4[/tex]) is 4.
Thus,
The value of the expression ln([tex]e^4[/tex]) is 4.
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Question 1- Whats the derivative of: A) f(x)= 4 cos(x) + ln(x+1)
B) f(x)= sec(x) X tg(x)
The derivatives for this problem are given as follows:
a) [tex]f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}[/tex]
b) [tex]f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}[/tex].
What is the derivative of the sum?The derivative of the sum is the sum of the derivatives.
In this problem, the function is:
[tex]f(x) = 4\cos{x} + \ln{(x + 1)}[/tex]
Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:
[tex]f^{\prime}(x) = (4\cos{x})^{\prime} + (\ln{(x + 1)})^{\prime}[/tex]
[tex]f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}[/tex]
What is the product rule?
The derivative of the product is given as follows:
[tex](f(x) \times g(x))^{\prime} = f^{\prime}(x)g(x) + g^{\prime}(x)f(x)[/tex]
In this problem, we have that:
[tex]f(x) = \sec{x}, f^{\prime}(x) = \sec{x}\tan{x}[/tex].[tex]g(x) = \tan{x}, f^{\prime}(x) = \sec^2{x}[/tex].Hence the derivative is:
[tex]f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}[/tex].
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Drag each equation to the correct location on the table. Determine which equations will result in extraneous solutions.
Answer:
extraneous: 2, 5, 7
not: 1, 3, 4, 6, 8
Step-by-step explanation:
ones that have root of an even number and equal a negative are extraneous
What is the explicit formula for this sequence? -7, -3, 1, 5, ...
Hello,
What is the explicit formula for this sequence? -7, -3, 1, 5, ... ?
Aₙ₊₁ = Aₙ + 4 and A₀ = -7
⇒ Aₙ = A₀ + nr = -7 + 4n
If P= (-6,4) find Ry= -x (P)
The value of Ry= -x (P) is P' = (4, 6)
How to determine the transformation?The point is given as:
P = (-6, 4)
The transformation Ry= -x (P) means tha:
(x, y) = (y, -x)
So, we have:
P' = (4, 6)
Hence, the value of Ry= -x (P) is P' = (4, 6)
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Please help answering this question
Answer:
DF = 3
Step-by-step explanation:
BC = DF
Which mean D is (0,2) and F is (3,2)
Here, this is clear that y-intercept is 2
DF = D(x) + F(x) = 0 +3 = 3
Find the
quotient for 12 2/5 / 1/4
[tex]12 \frac{2}{5}=\frac{62}{5}\\\\\frac{62/5}{1/4}=4\left(\frac{62}{5} \right)=\frac{248}{5}=\boxed{49 \frac{3}{5}}[/tex]
How can we develop a margin of error through the use of simulation models for random sampling
When using simulation models for random sampling, we can develop the margin of error by multiplying the critical value by the standard error.
What is the margin or error?This is a measure of the error that we get when we use a random sampling model.
It can be found by the formula:
= Critical value x Standard error
If using a z-test, the critical value would be z and the standard error would be (σ / √n). The margin or error would therefore be:
= z (σ / √n)
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Energy Drinks: Popular energy drinks contain green tea extract and caffeine. Do these energy drinks help you lose weight by increasing your metabolism? Researchers at a medical school designed an experiment to determine the chemical effects of green tea and caffeine on energy metabolism in healthy, lean, young adults. Researchers randomly assigned participants to 2 treatments. One group drank Formula A, a beverage with green tea and caffeine. The other group drank Formula B, a beverage with none of these ingredients but colored to look like Formula A. The beverages were blinded at the production site, so the experiment was double-blind. The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers fed each participant the same diet. On the 3rd day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. Which confounding variable is controlled by randomly assigning individuals to treatments? the effect of green tea and caffeine on energy metabolism the effect of green tea and caffeine on energy metabolism the physical fitness level of the participants the physical fitness level of the participants the time of day participants drank the beverages the time of day participants drank the beverages
The confounding variable which is controlled by randomly assigning individuals to treatments is: C. the time of day participants drank the beverages.
What is a confounding variable?A confounding variable is also referred to as a confounder and it can be defined as a type of variable that has the ability to influence both the independent and dependent variables.
Also, a confounding variable is usually not accounted for by the researcher and as such it can cause a spurious association between the independent and dependent variables.
In this context, we can infer and logically deduce that the time of day at which participants drank the beverages is a confounding variable which is controlled by randomly assigning individuals to treatments.
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Cheryl invested $1000 on Monday.Each day after that the stock increased 1% of its original value.On Wednesday she was charged an administrative fee of $10. Graph the value of the stock account at the end of each day
The value of the stock account at the end of each day is mathematically given as
x=1010$.
What is the value of the stock account at the end of each day?Generally, The price of the stock would have climbed by 1000 points, which is equal to 0.1 times 1000, or 10 dollars.
Therefore, the price of the stock would be 1010 dollars plus 10 dollars, which is 1020 dollars.
In conclusion, Cheryl was required to pay a ten dollar administrative fee, and this cost would be deducted from the stock price.
Following this logic, the price of the stock would be
x=1020-10
x=1010$.
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Which measures are true for the quilt piece? select three options. a = 60° x = 3 in. the perimeter of the rhombus is 16 inches. the measure of the greater interior angle of the rhombus is 90°. the length of the longer diagonal is approximately 7 inches.
The measures that are true for the quilt piece include:
a=. = 60°The perimeter of the rhombus is 16 inches.The length of the longer diagonal is 7 inches.How to depict the information?The value of a will be:
= 90° - 30°
= 60°
The perimeter will be:
= 4 × 4
= 16 inches.
The length of the diagonal will be:
= 2 × 3.46
= 6.92 = 7
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Help please
This diagram shows the measurements of a yard.
What is the area of the yard?
Enter your answer in the box.
Answer:
Step-by-step explanation:
we can break up the figure into 2 rectangles by extending the 8m side downward until it meets the bottom (see image)
Area of this rectangle = 10 * 2 =20 sq meters
Area of the other rectangle = 8 *2 = 16 sq meters
Total area = 36 sq meters
Find the value of 1 + 3 +5+ ... + 125
Answer:
3906
Step-by-step explanation:
(125-1):2+1=63
63x(125+1):2=3906
If r and s represent two numbers, write the following:
53a. Twice the sum of the two numbers
53b. 5% of the difference between the two numbers
Answer:
hope it helps. good day .in case of any question please ask.
Least common multiple of 10,20 35
Answer: 140
Step-by-step explanation:
If x dozen eggs cost y dollars, what is the cost, C, of z dozen eggs?
Answer:
c=y×z
Step-by-step explanation:
the answer is this because z would be the number of dozens you have times y the cost of one by multiplying those together you will get the cost of the z dozens of eggs
What is 8/9 divided by 2/3
¿What are Equivalent Fractions?
50 points
Answer:
Step-by-step explanation:
Equivalent fractions represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake.
Numeric Example= [tex]\frac{2}{2} =\frac{1}{1}[/tex]
[tex]{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}[/tex]
Equivalent Fractions have the same value, even though they look different.
☆Example :-
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt \dfrac{1}{2} = \dfrac{2}{4} = \dfrac{4}{8} }[/tex]
¿Why are they the same?
Because when you multiply or divide the numerator and denominator by the same amount, the fraction does NOT change.
Remember that :-
Remember that :- The multiplication and division that you apply in the numerator to e must repeat in the denominator.
That's why the fractions are really the same.
◇Watch the process ;
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt \boxed{ \tt \frac{1}{2} = \frac{2}{4} = \frac{4}{8} }[/tex]
That's multiplying
(Image 1)
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \tt\dfrac{18}{36} = \dfrac{6}{12 } = \dfrac{1}{2} }[/tex]
That's Division
(Image 2)
I hope I've helped : )
Please help!! Having a hard time with this! Bob can buy individual songs for $1.00 to download, or an entire album costs $10.00 to download. He can spend no more than a total of $60. He wants to buy at least three albums, and no more than 35 individual songs.
The following system of inequalities represents this situation, where x is the number of individual songs and y is the number of albums.
x + 10y ≤ 60
x ≤ 35
y ≥ 3
Which yellow shaded region corresponds to Bob’s possible choices?
Answer:
second one listed
Step-by-step explanation:
second one given--he can buy between 3 and 6 albums; and 0 to 30 songs
(if he were to buy exactly 3 albums, he could not buy more than 30 songs; which is why that portion of the graph is not shaded)
(shaded = possible)
hope this helps!
Drag each tile to the correct box. The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below. A graph represents the water level to fill the tank on Y-axis per time on X-axis. Segments A, B, and C fill the tank from 10 to 60, 60 to 80, and 80 to 110 centimeters in the first 2, next 4, and last 3 minutes. Place the segments in the correct order from the least to the greatest rate of increase in the water level. B A C
The least to greatest slope, the segments are B, C, and A.
We have given that,
The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below.
A graph represents the water level to fill the tank on Y-axis per time on X-axis.
The rate of increase of water level is indicated by the slope of the segment. The slope is the ratio of rise to run, and is related to the angle the segment makes with the +x axis.
Segments that have more rise for the same run have greater slope. Segments that make a larger reference angle with the +x axis have a larger slope.
Here, segment B has the least slope, followed by C, then A, which has the largest slope.
In order, the least to greatest slope, the segments are B, C, and A.
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Answer: bca
Step-by-step explanation:
B C A
b. Miguel tiene 104 canicas grandes, 117
medianas y 130 pequeñas. Si quiere
repartirlas en grupos iguales con la
mayor cantidad de cada tipo de cani-
cas, ¿cuántos grupos podrá formar?
¿Cuántas canicas de cada tipo habrá
en cada grupo?
Considerando la definición de divisor común mayor:
si Miguel quiere repartir las canicas en grupos iguales con la mayor cantidad de cada tipo tendrá 13 grupos.en cada grupo habrá 8 canicas grandes, 9 canicas medianas y 10 canicas pequeñas.Definición de divisorLos divisores de un número natural son los números naturales que lo pueden dividir, resultando de cociente otro número natural y de resto 0. Ser divisor es lo recíproco a ser múltiplo.
En otras palabras, un número es divisor de otro si está contenido una cantidad entera de veces. Por lo tanto, al dividir el número por el divisor el cociente debe resultar un número entero (que no sea un número decimal) y el residuo o resto de la división sea 0.
Divisor común mayorSe denomina máximo común divisor al mayor número que divide exactamente a dos o más números a la vez.
En otras palabras, el divisor común mayor es el mayor de los divisores que tienen en común dos o más números.
Para calcular el divisor común mayor se debe realizar los siguientes pasos:
Descomponer cada número en factores primos.Después, señalar los factores comunes (números primos que aparecen en todos los números).A continuación, en cada uno de los comunes, escoger el factor con menor exponente (factor que aparece la menor cantidad de veces).Por ultimo, multiplicar los factores elegidos.Cantidad de gruposPara calcular la cantidad de grupos se debe calcular el divisor común mayor. Para ello, en primer lugar se descomponen los números:
104= 2×2×2×13= 2³×13117= 3×3×13= 3²×13130= 2×5×13El factor común a todos los números es el número 13. Esto indica que si Miguel quiere repartir las canicas en grupos iguales con la mayor cantidad de cada tipo tendrá 13 grupos.
Cantidad de canicas de cada tipo en cada grupoPara esto se deberá dividir la cantidad de cada tipo de canica por la cantidad de grupos formados, que en este caso es 13. Esto es:
104 canicas grandes÷ 13 grupos= 8 canicas grandes117 canicas medianas÷ 13 grupos= 9 canicas medianas130 canicas pequeñas÷ 13 grupos= 10 canicas pequeñas
Finalmente, en cada grupo habrá 8 canicas grandes, 9 canicas medianas y 10 canicas pequeñas.
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2.5.2 project performance task:trade show booth
The booth space and the product brochures are less than $3000 hence the equation of inequality will be B + P ≤ $ 3000.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Let the booth space be B and the product brochures be P.
Then the equation of inequality will be
B + P ≤ $ 3000
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Complete question:
2.5.2 Project: A Trade Show Booth
The Scenario: Your manager has asked you to help plan your company's participation at a local trade show. You have $3000 to spend on the booth space and product brochures. Use what you know about solving inequalities to prepare the inequality that meets the budget.
how can -6 divide by 4 x=12 be solved in one step
Here are the solving steps for the problem.
Given:
[tex]\displaystyle \frac{-6}{4x}=12[/tex]
[1] Multiply both sides of the equation by 4x:
[tex]\displaystyle 4x(\frac{-6}{4x})=(12)4x[/tex]
-6 = 48x
[2] Divide both sides of the equation by 48:
[tex]\displaystyle \frac{-6}{48} = \frac{48x}{48}[/tex]
[tex]\displaystyle x=-\frac{1}{8}[/tex]
I am not sure how to solve the equation in one step, so here is it in two steps. My apologies.
Answer:
[tex] - \frac{1}{8} [/tex]
Step-by-step explanation:
The Algebraic Equation -6 divide by 4x = 12 can be stated mathematically as :
[tex] \frac{ - 6}{4x} = 12 \\ \\ cross \: multiplying \\ \\ 4x \: \times 12 = - 6 \\ \\ 48x = - 6 \\ dividing \: bothsides \: by \: 48 \\ \frac{48x}{48} = \frac{ - 6}{48} \\ \\ x = - \frac{1}{8} [/tex]
Question
You want to find the area of the front of a house, whose shape is a triangle on top of a rectangle with
a width of 8. The triangle's height is 7 and the rectangle's height is 10. What is the total area of the
front of the house? Do not include units in your answer.
Answer:
108
Step-by-step explanation:
if the width of the rectangle is 8, and the triangle is on the width of the rectangle, then the base of the rectangle is 8. the height is 7, so we use the formula area = height * base / 2 to find that the area of the triangular portion is 28. then, we find the area of the rectangle by doing 10 * 8(height * width) for a value of 80. the total area of the front of the house is 28 + 80: 108.
The sum of three numbers 157. The third number is 7 less than the firstThe second number is 4 times the third What are the numbers?
Step-by-step explanation:
Let the first number be = x
Let the second number be = 4x -28
Let the third = x-7
x + 4x+ x -28 - 7
6x - 35
6x -35 = 157
6x = 157 +35
6x = 192
x = 32
therefore, x = 32, the second x = 4(32) -28
728 - 28
x = 100
third x = 32 - 7
x = 25.
What is the solution to this equation?
-1/5(x+1 1/4)=-2 1/2
Answer:
О x = 10 3/4
[tex]x = 10\frac{3}{4}[/tex]
Step-by-step explanation:
-1/5 ( x + 1 3/4) = -2 1/2
Particularly:
1 3/4 = 1 + 3/4 = 4/4 + 3/4 = 7/4
-2 1/2 = -2 - 1/2 = -4/2 - 1/2 = -5/2
Then:
-1/5 (x + 7/4) = -5/2
(x*-1/5 + 7/4*-1/5) = -5/2
(-x/5 + ((7*-1) / (4*5))) = -5/2
-x/5 + (-7/20) = -5/2
-x/5 - 7/20 = -5/2
-4x/20 - 7/20 = -50/20
-4x - 7 = -50
-4x = -50 + 7
-4x = -43
x = -43/-4
x = 43/4
43/4 = 40/4 + 3/4 = 10 + 3/4 = 10 3/4
Find the height of a triangle with an area (A) of 42 square inches and
base (b) of 7 inches. Use the formula for the area of a triangle,
588 inches
147 inches
3 inches
12 inches
Answer:
147
Step-by-step explanation:
start by multiplying 42 and 7=294
now divide that by 1/2 =147
assuming that the series will continue in the same pattern the next number in the series 3,5,11,29... is
Notice that
5 - 3 = 2
11 - 5 = 6
29 - 11 = 18
and these differences form a geometric sequence,
{2, 6, 18, ...} = {2×3⁰, 2×3, 2×3², ...}
so a reasonable guess for the next number in the sequence might be 2×3³ = 54.
The sequence might be 2×3^3^3 = 54.
We notice that 5 - 3 = 2
11 - 5 = 6
29 - 11 = 18
and these differences form a geometric sequence,
What is the geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
{2, 6, 18, ...} = {2×3^0, 2×3^1, 2×3^3, ...}
So the next number in the sequence might be 2×3^3 = 54.
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11) Gretchen purchased a dress that originally cost $89.99. It was marked down 30% off. What was the cost of the
dress?
O a.) $65.99
Ob.) $63.99
Oc.) $62.99
Od.) $64.99
what is the common ratio of 3,1,1/3,1/9?
Answer:
mine was D
Step-by-step explanation:
mine was D unless its diffrent