Given:
\(log_3(x-2)=2\)Required:
Find the value of x.
Explanation:
The given equation is
\(log_3(x-2)=2\)Use the following logarithm property.
\(\begin{gathered} log_bx=a \\ x=b^a \end{gathered}\)\(\begin{gathered} x-2=3^2 \\ x-2=9 \\ x=9+2 \\ x=11 \end{gathered}\)Final answer:
Option D is the correct answer.
Can someone please help?
Answer: The annual premium for a 27-year-old female purchasing a 20-Year Endowment insurance policy with a face value of $25,000 is $42.67.
Step-by-step explanation:
Find value of x in trapezoid
Answer:
x = 1
Step-by-step explanation:
You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.
Supplementary anglesThe two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.
(43x +2)° +135° = 180°
43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137
x = 1 . . . . . . . . . . . . . . . divide by 43
The value of x is 1.
__
Additional comment
Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.
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Express as a fraction or mixed number 2%
Answer:
2% as a fraction = 1/5
Step-by-step explanation:
Can you please help me with this I will give you a Brainly list and it’s so hard
Answer:
-4-5
Step-by-step explanation:
The temp was at -4 and if it dropped that means you subtract another 5 from it which is -4-5
Answer:
The correct answer is -4 - 5.
Step-by-step explanation:
The original temperature is -4 degrees. Then, the temperature falls by 5 degrees. The temperature "falling" means that it is getting colder or that the temperature is getting lower. This lets us know that we need to use subtraction. The final answer is -4 - 5, which would give us the temperature of -9 degrees as the new temperature.
Hope this helps!
how do i solve for x
Answer:
Isolate "x" on one side of the algebraic equation by adding the negative number that appears on the same side of the equation as the "x." For example, in the equation "x - 5 = 12", rewrite the equation as "x = 12 + 5" and solve for "x." The solution is "x = 17."
Step-by-step explanation:
Hey can anyone help me understand how to graph this?
Answer:
Step-by-step explanation:
?
Find the experimental probability of tossing heads.
H stands for heads and T stands for Tails.
Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T
The value of the experimental probability of tossing heads is,
⇒ 1 / 3
We have to given that;
Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T
Where, H stands for heads and T stands for Tails.
Hence, Total outcomes = 15
And, Head outcomes = 5
Thus, The value of the experimental probability of tossing heads is,
⇒ 5 / 15
⇒ 1 / 3
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PLEASE HELP WILL GIVE BRAINLIEST TO RIGHT ANSWER! AND 20 POINTS
question and answer choices are in the picture. No fake answers and please give expaination
Answer:
61,600
Step-by-step explanation:
56,000 x 1.1= 61,600
Median of 3,6,9,7,4,6,7,0,7
The median, mean, range and mode will be 6, 5.4, 9 and 7.
What is median?
The median is the middle number in the data set when the data set is written from least to greatest.
The median is the number in the middle when arranged in an ascending order. The numbers will be:
0, 3, 4, 6, 6, 7, 7, 7, 9.
The median is 6.
The range is the difference between the highest and lowest number which is: = 9 - 0 = 9
The mode is the number that appears most which is 7.
The mean will be the average which will be:
= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.
= 49/9
= 5.4
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Multiple step Fnd the value of X.
8)
(X-745)
560 4x0
(3x+2)
36
The value of x in the diagrams are 14 and 99 respectively
How to determine the valuesNote the following points;
Corresponding angles are equal Sum of angles at a point is equivalent to 360 degreesFrom the information given in the diagram
56 degrees and 4x degrees are corresponding
Then,
4x = 56
Make 'x' the subject
x = 14
From the second image
Add the angles and equate to 360 degrees, we have;
3x + 2 + 36 + x - 74 = 360
collect like terms
4x = 360 + 36
4x = 396
Make 'x' the subject
x = 99
Hence, the values are 14 and 99
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What are the steps to solving this problem? (i allready know the answer, i just want to know the steps.)
Answer:
Step-by-step explanation:
The first step to solving this problem is to simplify the contents inside the brackets. Since all the terms are multiplied together, you can cancel the fraction separately between the numerator and denominator. Let's start with the x terms.
The division law of exponents states that when exponents with the same base are divided, the exponents are subtracted.
This means to simplify the x terms we have:
\(\frac{x^{-4} }{x^{3}} =x^{-4-3}=x^{-7}\)
This means the overall problem now looks like this:
\((x^{-7} \frac{2y^{7} }{3y^{2}}) ^{3}\)
Now we can repeat that with the y term:
\(\frac{y^{7} }{y^{2}} =y^{7-2}=y^{5}\)
Now our complete problem only has one fraction in the brackets which we can simplify if we wish:
\((\frac{2}{3}x^{-7}y^{5}) ^{3}\\OR\\(0.67x^{-7}y^{5}) ^{3}\\\)
Now we can finish the problem by raising every term inside the brackets to the power of 3. Raising an exponent to an exponent multiplies them together so our equation is now here:
\(\frac{2}{3}^{3} x^{-7*3}y^{5*3}\\OR\\0.67^{3} x^{-7*3}y^{5*3}\)
After multiplying and simplifying we are left with the answer:
\(\frac{8}{27}x^{-21}y^{15}\\OR\\0.3x^{-21}y^{15}\)
(1dp)
Negative exponents mean they are positive as a denominator so:
\(\frac{0.3y^{15} }{x^{21} }\)
Also works as an answer
Hope this helped!
A skeleton was found at an archaeological dig. A technique used for estimating age indicated that the skeleton was 60 centuries old,
plus or minus 0.8 centuries. According to this estimate, what is the greatest possible age of the skeleton?
The greatest possible age of the skeleton is centuries.
To find the greatest possible age of the skeleton, we need to add the error to the estimate:
60 centuries + 0.8 centuries = 60.8 centuries
Therefore, the greatest possible age of the skeleton is 60.8 centuries.
please answer 2-5 and 7-9 asap
Answer:
i dont have that
Step-by-step explanation:
Plz. Can anyone explain and tell the answer of this question.I promise I will mark it as brainliest Question.
Answer:
x = 15
y = 90
Step-by-step explanation:
Step 1: Find x
We use Definition of Supplementary Angles
9x + 3x = 180
12x = 180
x = 15
Step 2: Find y
All angles in a triangle add up to 180°
3(15) + 3(15) + y = 180
45 + 45 + y = 180
90 + y = 180
y = 90°
Solve:
Three less than the product of eight thirds and nine.
Pls HELP ME
Answer:
21Step-by-step explanation:
Product of eight thirds and nine:
8/3×9 = 24Three less than the product of eight thirds and nine:
24 - 3 = 21) Quantifier negation.
Form the negation of the following statements. Then apply De Morgan’s law and/or conditional law, when
applicable. Negation should appear only within predicates, i.e., no negation should be outside a quantifier
or an expression involving logical connectives. Show all steps.
a) ∀x (P(x) ∧ R(x))
b) ∀y∃z(¬P(y) → Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negations of the given statements with the application of De Morgan's law and/or conditional law.
a) ∃x (¬P(x) ∨ ¬R(x))
De Morgan's law:
∃y ∀z(¬P(y) ∧ ¬Q(z))
b) ∃y ∀z(¬P(y) ∧ ¬Q(z))
The double negation:
∃y ¬∃z(P(y) ∨ Q(z))
c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
The conditional law:
¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:
a) ∀x (P(x) ∧ R(x))
The negation of this statement is:
∃x ¬(P(x) ∧ R(x))
Now let's apply De Morgan's law:
∃x (¬P(x) ∨ ¬R(x))
b) ∀y∃z(¬P(y) → Q(z))
The negation of this statement is:
∃y ¬∃z(¬P(y) → Q(z))
Using the conditional law, we can rewrite the negation as:
∃y ¬∃z(¬¬P(y) ∨ Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negation of this statement is:
¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
Using the conditional law, we can rewrite the negation as:
¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))
Applying De Morgan's law:
¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))
Simplifying the double negation:
¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))
Using De Morgan's law again:
¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))
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Rollaway Skates
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$0
$5
$10
$15
$20
$25
$30
$35
$40
Wheelie's Skates
and Stuff
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$100
$103
$106
$109
$112
$115
$118
$121
$124
Describe when Rollaway Skates is cheaper and when Wheelie's is cheaper.
Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.
Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.
I hope this helps! Do you have any other questions?
ery Test
1
Select the correct answer.
Who is a consumer?
OA.
a person who buys items in a store
OB.
a person who owns a store
O C.
a person who works at a store
At basketball practice, you made 59 out of 80 shots.
Which choice is closest to the percentage of shots you mad
Answer:
73.5 Percent ...........
Answer:
The closest percentage of shots you made is 75%. Please mark brainliest.
I believe the choices are:
60%
70%
75%
80%
Therefore the answer 75%
Step-by-step explanation:
59/80 = 0.7375
Rounded up is 0.75
0.75 x 100 = 75%
Hope this helps.
Have a nice day amazing person there.
MAY GOD RICHLY BLESS YOU!!
write the ratio 6.5 : 3.25 in the form n : 1
Answer:2:1
Step-by-step explanation:
6.5:3.25
6.5/3.25=2/1
6.5:3.25=2:1
therefore n=2
Mathematical 8. PRACTICE Model Math Christy purchased 6.75 pounds of licorice. How much licorice does she need to put in each bag if she divides the total amount into 10 equal-sized bags?
Answer:i think it is yes! this )--89+98
Step-by-step explanation:
Factor x2 – 8x + 15.
Which pair of numbers has a product of ac and a sum of b?
Answer:
(x - 5)(x - 3)
Step-by-step explanation:
\( {x}^{2} - 8x + 15 \\ = {x}^{2} - 5x - 3x + 15 \\ = x(x - 5) - 3(x - 5) \\ = (x - 5)(x - 3) \\ \\ ac = ( - 5) (- 3) = 15 \\ a + c = - 5 - 3 = - 8\)
you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement
Answer:
yes
Step-by-step explanation:
12+3=5x-3+3
15=5x
15=5(3)
15=15
These 2 on my study guide are killing me
A) The polynomial with the given roots and multiplicity is; P(x) = -0.3(x - 3)²(x + 1)
B) The function after the given transformations is; g(x) = [2√(x - 5)] - 2
What is the equation of the Polynomial?A) We are told that the polynomial is of degree 3 and as such, the general form is;
y = a(x + b)(x + c)(x + d)
We are told that it has a root multiplicity of 2 at x = 3.
Thus, (x - 3)² is a factor
We are now told that it has a root of multiplicity 1 at x = -1. Thus;
(x + 1) is a factor.
Thus, the polynomial is;
P(x) = a(x - 3)²(x + 1)
y-intercept is at y = -2.7. Thus;
P(0) = a(0 - 3)²(0 + 1) = -2.7
9a = -2.7
a = -0.3
Thus, the polynomial is; P(x) = -0.3(x - 3)²(x + 1)
2) We are given the function;
f(x) = 2√x
When we shift a function by a units up, we are adding a units to the function. Thus, shifting f(x) 2 units down is the opposite and we subtract 2 from the function to get;
f'(x) = (2√x) - 2
Now, shifting the function by 5 units right means we subtract 5 from the x value to get; g(x) = [2√(x - 5)] - 2
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A vegetable garden has 3 tomato plants for every 5 lettuce plants. How many tomato plants are there if there are 45 lettuce plants?
Please help ( no PDF)
Answer:
the answer is 27
Step-by-step explanation:
because 45 divided by 5 equals 9
and 9 times 3 equals 27
Evaluate(35 divided x) - 2 when x =7
A.5
B.7
C.26
D.3
(PLEASE HELP!!!!!!!!!!!)
Answer:
D. 3
Step-by-step explanation:
give the location of Phoenix an orders pair (X,Y)
Answer:
\(\huge\boxed{\sf{(-7, -9)}}\)
Step-by-step explanation:
Hello.
First, find the x-coordinates of Phoenix.
Find the x-axis and count down.
The x-coordinate is -7.
Now, what about the y-coordinate?
The y-coordinate is -9.
Thus, the ordered pair is (-7, -9)
I hope it helps.
Have a nice day.
\(\boxed{imperturbability}\)
Change each set of fractions to have the lowest common denominator
23. 2/3, 3/5 and 1/2
24. 5/9, 1/3 and 5/6
Answer:
23. 20/30, 18/30, and 15/30
24. 10/18, 6/18, and 15/18
Step-by-step explanation:
Graph line segment BC with endpoints B(8 and
C(-4,5) and label the points.
Steps for solving:
Draw and label an x and y axis (make sure you include arrows).
Plot the given points.
Label the given points.
The graph of the Line Segment BC with the endpoints B(8,9) and C(-4,5) is shown below.
In the question ,
it is given that ,
the end points of the line segment is B(8,9) and C(-4,5) .
we have to graph the line segment BC.
first we mark the point on the coordinate plane , with point B and point C .
after that we join the points .
and the equation of the line segment is
(y - 5) = (9-5/8+4)*(x + 4)
(y - 5) = (1/3)*(x + 4)
3y - 15 = x + 4
x - 3y + 19 = 0
Therefore, the graph of the line segment BC is shown below.
The given question is incomplete , the complete question is
Graph line segment BC with endpoints B(8,9) and C(-4,5) and label the points.
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For three consecutive years the cost of gasoline increased by 8%, 15%, and 20%, respectively. What was the overall percentage increase of the cost of gasoline during the three-year period?
Answer: 24.84%
Step-by-step explanation:
I don't really know how to explain step-by-step from my messy notes
The overall percentage increase of the cost of gasoline during the three-year period is 14.33%.
What is percentage?A percentage is a number or ratio expressed as a fraction of 100. It is generally denoted using the percent sign ''%''.
The given percentage are,
8%, 15%, and 20%.
Now to find the overall average increase we need to find the average percentage for three consecutive years.
overall average = sum of all the percentage/number of percentage
overall average = 8%+15%+ 20%/3
overall average = 43%/3
overall average = 14.33%
Hence,The overall percentage increase of the cost of gasoline during the three-year period is 14.33%.
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