Write logb(x/y) as two logs
Answer:
[tex] log_{b}(x) - log_{b}(y) [/tex]
Quadrilateral ABCD is translated 7 units down and 2 units to the right.
The length of side AB of the original quadrilateral is
units. After the translation, the length of side AB will
.
ABCD is a quadrilateral that has been translated 2 units to the right and 7 units down. The length of side AB will not change following the translation. Option C is correct.
What is translation?Each point in a figure is moved the same distance in the same direction using a sort of transformation known as translation.
The complete question is
"Quadrilateral ABCD has translated 7 units down and 2 units to the right.
The length of side AB of the original quadrilateral is_____ units. After the translation, the length of side AB will___________ .
2
3
3.5
4
----------------------------
Increase
Decrease
Remain the same"
Quadrilateral ABCD has translated 7 units down and 2 units to the right. After the translation, the length of side AB will remain the same.
Hence option C is correct.
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128 (4 + 2) = (128 ÷ 4) + 2
A. True
B. False
Answer:
B. False
Step-by-step explanation:
Just like last time, solve it first to check.
128(4+2)=(128/4)+2
Remember PEMDAS, parenthesis first.
128(6)=(32)+2
Now multiply the left side and add the right side.
128*6=768. The star sign is just another way to write a multiplication sign.
32+2=34
768≠34
This is a false statement. 768 does not equal 34.
Hope this helps!
If not, I am sorry.
Ben, Tara and Liam are playing hide and seek. They start playing at quarter past 11. They play for 45 minutes, before stopping for a drink and a cookie. They continued to play for 45 minutes and head inside at 10 minutes past 1.
How long did they stop for a drink and a cookie. Explain your reasoning.
Answer:
25 minutes
Step-by-step explanation:
they started at a quarter past 11, which is 11:15
they then played for 45 minutes, which would be until 12:00
you also know that they stopped playing at 10 minutes past 1, at 1:10.
before 1:10, they had been playing for 45 minutes, which means they started playing for the second time at 12:25.
all that's left is the time between 12:00 and 12:25, which is 25 minutes, so they spent 25 minutes stopping for a drink and a cookie.
What are the domain and range of f(x) = 2x - 41?
O domain: x < 2; range: (-∞0,00)
O domain: (-∞,00); range: f(x) > 0
O domain: (-∞0,00); range: f(x) < 0
O domain: x ≥ 2; range: (-∞,00)
The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = 2x – 41
Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.
Then the correct option is C.
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Find the surface area of a hexagonal prism if the length of each side of the hexagonal base is 4 cm and the height is 7 cm.
The surface area of a hexagonal prism willl be 251.13844 cm².
What is the surface area?The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
A=6ah+3√3a²
A=6×4×7+3√3×4²
A≈251.13844
Hence the surface area of a hexagonal prism willl be 251.13844 cm².
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Which of the following will result in a rational number? Select all that apply.
An expression is defined as a set of numbers, variables, and mathematical operations
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be simplified as,
A.) 7 3/4 - (√11)/5 = (155-4√11)/20
B.) 7 3/4 ÷ (√11)/5 = 155/(4√11)
C) 7 3/4 + (√16)/5 = 166/20
D.) 7 3/4 + (√16)/5 = 31/5
The option that will result in a rational number is C and D.
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find the values, if any, of the boolean variable x that satisfy these equations. x .1=0
The value of the boolean variable x is 0
How to determine the value of x?The boolean equation is given as:
x . 1 = 0
The above means that:
x and 1 = 0
The law of the and operator is that;
The output is 0 if both inputs are different.
One of the inputs is 1.
So, the other input is 0
Hence, the value of x is 0
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Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) 8?
Step-by-step explanation:
It's answer is x_> -27 by using inequality rule
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.)
f(x) = 3x − 6
The function values are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6
The problem is incomplete. The complete problem is
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) = 3x − 6
(a) f(1)
(b) f(−2)
(c) f(x + 4)
We have
(a) f(1) = 3 (1) - 6 = 3 - 6 = -3
(b) f(-2) = 3(-2) - 6 = -12
(c) f(x + 4) = 3(x + 4) - 6 = 3x + 6
So, the evaluations are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6
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A short sale is when a house is sold _____.
Select the best answer from the choices provided.
A.
for less than what a person paid for it
B.
for less than the mortgage owed on it
C.
before the mortgage is paid out in full
D.
because the owner is in bankruptcy proceedings
a short sale is when a house is sold for less than what the mortgage is.
answer: B. for less than the mortgage owed on it
decrease 2155.45 by 18.5 round 2dp
The solution is 1756.69
What is number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
We have to find the 18.5% of 2155.45.
So,
2155.45 * 0.185 = 398.75825
Now, subtract
21.55.45 - 398.75825
= 1756.69175
Hence, the value is 1756.69
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20%
120°
y=[ ? ]°
Enter
Step-by-step explanation:
Solution,
here ,
20° + 120° + x = 180°
reason : The sum of interior angle of triangle is 180°.....
140°+ x = 180°
x = 180° - 140°
x = 40°
Now..
x + y = 180° ....
reason : Supplementary angle...
40° + y = 180°
y = 180° - 40°
y = 140°
[tex]...[/tex]
Is the following graph a linear function, non linear function, and or a relation
Hello hello :))) please help me with this problem
When the expression 3(x²+6-3x) - (2x²-8) + 3(x² + 4x) is simplified, the coefficient
of x is
A. 7
B. 4
C. 3
D. 2
The correct answer is option C which is 3.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression will be solved as follows:-
E = 3( x² +6 -3x)- ( 2x² - 8 ) +3(x² + 4x )
E = 3x²+18-9x-2x²+8+3x²+12x
E= 4x² +3x+8
We can see the coefficient of x is 3.
Therefore the correct answer is option C which is 3.
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Which of the following rational functions is graphed below?
Answer:
D
Step-by-step explanation:
I looked at the vertical asymptotes. -1 and 2. from the knowledge I have the answer with x=-1, 2 is D.
Instructions
For this activity, you will need two different coins. First, you will determine the theoretical probability of events. Then, you will flip the coins 100 times and determine the experimental probability of the events.
Flip two different coins 100 times, and record the results of each coin toss in a table like the one below:
Result Frequency
Two heads
Two tails
One head, one tail
Answer the following questions based on the data you gathered. You must show your work to receive credit.
What is the theoretical probability that a coin toss results in two heads showing?
What is the experimental probability that a coin toss results in two heads showing?
What is the theoretical probability that a coin toss results in two tails showing?
What is the experimental probability that a coin toss results in two tails showing?
What is the theoretical probability that a coin toss results in one head and one tail showing?
What is the experimental probability that a coin toss results in one head and one tail showing?
Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
The theoretical probability of getting two tails on two coin tosses is 0.25.
How to calculate the probability?The theoretical probability is the ratio of the number of favorable outcomes to the number of possible outcomes. Given a coin is tossed twice.
We have to find the theoretical probability of tossing two tails. The probability of getting tails on the toss of a coin is 1/2 0r 0.5.
Therefore, the probability of getting two tails on two coin tosses is 0.5 × 0.5 or 0.25.
The theoretical probability that a coin toss results in two heads showing is 0.25.
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Which equation justifies why 93 - ?
=
(0³) 1_9(²+³)_9
93
(³)
93
³_9(²+³)=9
(0³) -
93
93
=9=9
_g(¹-³)_9
=9
=9
The equation that justifies [tex]9^{1/3}=\sqrt[3]{9}[/tex] is [tex](9^{1/3}) ^{3} = 9^{3/3} = 9[/tex]
How to find equation that justifies another?The expression given is [tex]9^{1/3}=\sqrt[3]{9}[/tex].
The equation that justifies [tex]9^{1/3}=\sqrt[3]{9}[/tex] is as follows:
Therefore, using indices law,
[tex]a^{x/y} =\sqrt[y]{a^{x} }[/tex]
Hence,
[tex]9^{1/3}=\sqrt[3]{9}[/tex]
Therefore, the equation that shows it is correct is as follows;
[tex](9^{1/3}) ^{3} = 9^{3/3} = 9[/tex]
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help … fr …. D: D: D: D:
Step-by-step explanation:
Let x be mixture x liters and y be mixture y liters.
We need a total of 4 liters so
[tex]x + y = 4[/tex]
Mixture x is 20% saline solution
Mixture Y is a 10% saline solution
4 liters of a 15% saline solution is 60% saline solution.
[tex].20x + .10y = 0.6[/tex]
So a is the system of equations,
Using Elimination, eliminate the variable x.
[tex] - 5(.20x + .10y) = 0.6[/tex]
[tex]( - x - .50y) = - 3[/tex]
Add to the first system.
[tex]0.50y = 1[/tex]
[tex]y = 2[/tex]
Plug this into the of system of equations, to find x
[tex]x + 2 = 4[/tex]
[tex]x = 2[/tex]
So our solution is (2,2) We would need 2 liters of Mixture X and 2 liters of Mixture Y
Si en un autobús hay disponibles solo tres asientos y siete personas están de pie ¿De cuántas maneras distintas podrían ocupar esos asientos?
Usando la fórmula de combinación, se encuentra que hay 35 manerias distintas de ocupar esos asientos.
El orden en que se sientan las personas no es importante, por lo que se utiliza la fórmula de combinación para resolver este problema.
¿Cuál es la fórmula de combinación?[tex]C_{n,x}[/tex] es el número de combinaciones diferentes de x objetos de un conjunto de n elementos, dado por:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
3 personas son selecionadas de un conjunto de 7, por eso, el número de maneras es dado por:
[tex]C_{7,3} = \frac{7!}{3!4!} = 35[/tex]
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In the figure below, j || m. Find the values of x and y.
X and 73 are same-side interior angles, which are supplementary (they add up to 180).
x + 73 = 180
x = 107
X and (6y - 79) are vertical angles, which are congruent (have the same measure/value.
x = 6y - 79
107 = 6y - 79
6y = 186
y = 31
Hope this helps!
+
A week after the incident at school, Charlotte received an envelope in the mail from Lisa's
mother. The envelope contained two $20 bills, and a note saying that she was sorry that Lisa had
hurt Charlotte and to please take the money to buy a new pair of jeans. Charlotte's new jeans cost
$25.99. Does she have enough to also buy a hoodie sweatshirt that cost $12.99? How much will
her new outfit cost?
w 10 159
Math Level 6-Lesson 13
Answer:
outfit costs 81 dollars
Step-by-step explanation:
Answer: Yes, she received $40 and the total cost of the outfit would be $38.98.
A portion of John Locke's time card is shown below. How many hours did he work for the week?
PLS PLS HELP IVE BEEN STUCK ON THIS FOR A VERY LONG TIME AND PLS IF YOU DONT KNOW THE ANSWER DONT ANSWER!!!!!
Answer:
40
Step-by-step explanation:
it's 8+8+8+7+9 so it's gonna be 40
Select the correct answer from each drop-down menu.
Line r cuts parallel lines p and q as shown in the figure.
Angles E and G are to each other because they are angles.
Answer:
see explanation
Step-by-step explanation:
angles E and G are congruent to each other because they are vertical angles.
What is the research hypothesis when using anova procedures?
When using ANOVA procedures, the research hypothesis is: there is no significance difference within the mean values of the groups.
What is a Research Hypothesis in ANOVA Procedure?ANOVA procedure compares the mean values of different groups that are administered with treatments. The research hypothesis, such as the null hypothesis would be stated as: no significance difference in the mean values within the groups.
Thus, we can conclude that the research hypothesis when using the ANOVA procedures can be stated as a null hypothesis, which states that: there is no significance difference within the mean values of the groups.
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Draw a graph of y=3x-2. Using a scale of 2cm to 5units on both axes for values from x -2 to +2
What is the x-intercept
What is the y- intercept
Find the value of x when y= 5
Find the value of y when x= 0.5
pls pls ASAP
Function: y = 3x - 2
To find x-intercept, set [y = 0]:
[tex]\rightarrow \sf 3x - 2 = 0[/tex]
[tex]\rightarrow \sf 3x = 2[/tex]
[tex]\rightarrow \sf x = \dfrac{2}{3}[/tex]
The x-intercept: (2/3, 0)
To find y-intercept, set [x = 0]
[tex]\rightarrow \sf y = 3(0) - 2[/tex]
[tex]\rightarrow \sf y = - 2[/tex]
The y-intercept: (0, -2)
When [y = 5], x is:
[tex]\rightarrow \sf 3x - 2 = 5[/tex]
[tex]\rightarrow \sf 3x = 5 + 2[/tex]
[tex]\rightarrow \sf 3x = 7[/tex]
[tex]\rightarrow \sf x = \dfrac{7}{3}[/tex]
[tex]\rightarrow \sf x = 2 \dfrac{1}{3}[/tex]
Value of x is 2.33...
When [x = 0.5], y is
[tex]\rightarrow \sf y =3(0.5) - 2[/tex]
[tex]\rightarrow \sf y =-0.5[/tex]
Value of y is -0.5
Graph shown:
What are the domain and range of the function below?
A. Domain: (-4,0)
Range: [-2,∞)
B. Domain: (-3,0)
Range: [-2,∞)
C. Domain: (-∞,∞)
Range: [-2,∞)
D. Domain:
Range: (-∞,∞)
PS don't mind that dot on the graph, didn't mean to put it there.
The domain is (-∞,∞) and the range is [-2,∞)
How to determine the domain and the range?From the graph, we can see that the x values extend at both sides of the graph.
This means that the domain is the set of real values i.e. (-∞,∞)
However, the minimum y value is -2 and it increases from their
This means that the range is [-2,∞)
Hence, the domain is (-∞,∞) and the range is [-2,∞)
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A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam. Find, using vectors, the tension in the cables.
The tension in both cables are calculated as; T₁ = 127.63 N and T₂ = 185.48 N
Resolving forces in the y direction gives us;
T₁ sin 29° + T₂ sin 53° = 210 ------(eq 1)
Resolving forces in the horizontal direction gives;
T₁ cos 29° = T₂ cos 53° ----(eq 2)
T₁ = T₂ cos 53°/cos 29°
Thus;
(T₂ cos 53°/cos 29°)sin 29° + T₂ sin 53° = 210
0.3336T₂ + 0.7986T₂ = 210
T₂ = 210/1.1322
T₂ = 185.48 N
Thus;
T₁ = 185.48 cos 53°/cos 29°
T₁ = 127.63 N
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a−(−3.75)=6.11
What is a?
Answer:
a = 2.36
Step-by-step explanation:
a-(-3.75)=6.11
The negative 3.75 is being subtracted from the 'a'. A negative number being subtracted from another number makes it positive. So, 3.75 is actually being added to 'a' which is equal to 6.11
I re-wrote the question as:
a + 3.75 = 6.11
Subtract 3.75 from both sides to leave 'a' by itself
a + 3.75 = 6.11
-3.75 -3.75
a = 2.36
