• Solution
[tex]7^{\frac{x}{10}}=2[/tex]
To solve for x, we take the logarithm of both sides.
[tex]\log 7^{\frac{x}{10}}=\log 2[/tex]Applying the law of logarithm to the equation above;
[tex]\log a^b=b\log a[/tex][tex]\begin{gathered} \log 7^{\frac{x}{10}}=\log 2 \\ \frac{x}{10}\log 7=\log 2 \\ \text{Dividing both sides by log 7;} \\ \frac{x}{10}=\frac{\log 2}{\log 7} \\ \frac{x}{10}=\frac{0.3010}{0.8451} \\ \frac{x}{10}=0.3562 \\ \text{Cross multiplying the equation;} \\ x=0.3562\times10 \\ x=3.562 \end{gathered}[/tex]Therefore, the approximate value of x is 3.562
The correct option is E.
what is the answer to 8x= - 44 ?
We need to solve the following equation for x:
[tex]8x=-44[/tex]To isolate x, we divide both sides
Look at this diagram:If KM and NP are parallel lines and m
Answer
Angle NOL = 70°
Explanation
Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the two lines are parallel to each other, then alternate angles are equal.
We can see that Angle MLO and Angle NOL are alternate angles.
And since we have been told that KM and NP are parallel lines,
Angle NOL = Angle MLO = 70°
Hope this Helps!!!
If the point C (-6, 9) is reflected over the y-axis, the coordinates of C’ would be ________.
Answer:
C' (6, 9 )
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
C (- 6, 9 ) → C' (6, 9 )
María compro dos boletos para una rifa con dis números
rosa compró 4 boletos calcular la
probabilidad de cada una de ganar
Answer:
translate to eng
Step-by-step explanation:
Let f: R - {2} => RX => f (x) = (3x + 4) / (x-2)Is F a bijection?
A function is called bijective if it is one-to-one and onto.
To check one to one, let x1 = x2 , where x1, x2 belongs to R.
so, we can say that:
[tex]3x_1+4=3x_2+4[/tex]and
[tex]x_1-2=x_2-2[/tex]Given the condition that x1 and x2 are not equal to 2. So, the above equation implies that
[tex]\frac{3x_1+4}{x_1-2}=\frac{3x_2+4}{x_2-2}\Rightarrow f(x_1)=f(x_2)[/tex]So, it is a one-to-one function.
For onto function, let y= (3x + 4) / (x-2). Now, interchange x and y, and solve the equation fo y:
[tex]\begin{gathered} x=\frac{3y+4}{y-2} \\ \Rightarrow xy-2x=3y+4 \\ \Rightarrow xy-3y=2x+4 \\ \Rightarrow y(x-3)=2x+4 \\ \Rightarrow y=\frac{2x+4}{x-3} \end{gathered}[/tex]Here, the domain of the inverse of the function is R - {3}. But the function is R - {2} => R. So, it is not onto.
thus, the given function is not a bijection.
Select the correct answer.
Which of these graphs represents a function?
A. W
B. X
C. Y
D. Z
Answer:
The second graph (B: X?)
Step-by-step explanation:
The second graph (B?) is a function because the graphed line passes the vertical line test (no two points are vertically on top of each other).
Two studies were done on the same set of data, where study a was a two-sided test and study b was a one-sided test. The p-value of the test corresponding to study a was found to be 0. 40. What is the p-value for study b?.
The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.
Therefore, the p-value for study b exists 0.080.
What is meant by p-value?The P value is the likelihood, for a particular statistical model, that the statistical summary would be either equal to or more extreme than the actual observed results if the null hypothesis were to hold.
In a two tailed test the probability of occurrence exists the total area beneath the critical range of values on both the sides of the curve (negative side and positive side)
Therefore, the probability values for a two tailed test as compared to a one tailed test exists given by the under given relation -
[tex]$p-\text { value }=P\left(Z < -\frac{\alpha}{2}\right)+P\left(Z > \frac{\alpha}{2}\right)$$[/tex]
simplifying the above equation, we get
[tex]$P \frac{\alpha}{2}=0.040$[/tex]
Substituting the given value in above equation, we get -
Probability values for a two tailed test
= 0.040 + 0.040
= 0.080
Therefore, the p-value for study b exists 0.080.
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Please Help me graph the linear equation!! 70 Points
Answer:
Step-by-step explanation:
We will follow the same steps as in the previous question. First, we can start by leaving the variable [tex]y[/tex] alone.
[tex]2y=5x+11[/tex][tex]y=\frac{5x+11}{2}[/tex]In this step, let's be careful to give the variable [tex]x[/tex] odd numbers. The rational expression will then be an integer.
For [tex]x=1,y=8[/tex]For [tex]x=-1, y=3[/tex]For [tex]x=-3, y=-2[/tex]Finally, connect these three points. You can see the connected version in the photo. Good luck!
What is the probability of landing on a number greater then 5 and then landing on a number greater then 4
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for calculating probability
[tex]Probability=\frac{number\text{ of required outcomes}}{number\text{ of total possible outcomes}}[/tex]STEP 2: Find the probability of landing on a number greater than 5
[tex]\begin{gathered} Pr(greater\text{ than 5\rparen}=Pr(6\text{ and above\rparen} \\ Pr(greater\text{ than 5\rparen}=Pr(6)=\frac{1}{4} \end{gathered}[/tex]STEP 3: Find the probability of landing on a number
2/11 and 1/5 common denominator
Answer:
The answer is 55.
Step-by-step explanation:
2/11 = 2/11 × 5/5 = 10/55
1/5 = 1/5 × 11/11 = 11/55
Answer:
55
Step-by-step explanation:
2/11 and 1/5
To find the common denominator, take 11 and multiply by 5
11*5 = 55
2/11 * 5/5 = 10/55
1/5 * 11/11 = 1/55
10x-6=5y
Tttttttgfffffffffffffffd
Answer: I am guessing that you want to know what x and y equals
6. Which of the following facts, if true, would allow you to prove that lines I and m are parallel? (1 point)
5/6
7 8
m22-m23
m27+m28=180*
Om24-m25
m26+m22=180°
1
3
4
2
m
Answer:
The first 3 answers
Step-by-step explanation:
∠2 and ∠3 are vertical angles which means they are congruent. That would then make ∠1 and ∠4 congruent.
∠7 and ∠8 = 180 means that is a straight line.
∠4 and ∠5 are alternate interior angles which make them congruent.
That would then mean ∠3 and ∠4 = 180 which is a straight line because ∠3 would then be a corresponding angle to ∠7.
Please help me!!!! Worth 20 points
In the probability distribution table x=76 and p(x) is 0.3.
Here X is a random variable. P(X) is its probabilities corresponding to the different values of X.
now according to the properties of probability theory we know that sum of probabilities is 1.
so here to find the value of the probability of X corresponding to the value 76 we should use the following steps:
sum of given probabilities =(0.4+0.2+0.1) = 0.7required probability = 1 - sum of given probabilities = 1 - 0.7 = 0.3What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of random events. The value is expressed from zero to one. The calculus of probability is introduced in mathematics to predict the probability of events occurring. Probability basically means the degree to which something is likely to happen. It is a basic theory of probability that is also used in probability distribution, where the probability of the result of a random experiment is studied. To determine the probability of an event, we should first know the total number of possible outcomes.
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If [tex]f(x) = -4x^{5} and g(x) = 10x^9 - 12x^4 + 6[/tex] (what is f x g) x?
A.) [tex]-40x^{14} + 48a^{3} x^{9} +6[/tex]
B.) [tex]40x^{14} - 12x^{4} + 6[/tex]
C.) [tex]-40x^{14} + 48x^{9} - 24x^{5}[/tex]
D.) [tex]-40x^{9} + 48x^{4} - 24[/tex]
Answer:
C
Step-by-step explanation:
(f×g)x just means
f(x) × g(x)
Multiply the two given functions together. Use distributive property. To multiply terms with the same base, add the exponents.
see image.
What is the slope of the line x=4?
O A. 0
O B. Undefined
O C. 4
• D.1
Answer:
B. Undefined
Step-by-step explanation:
x = 4 is a vertical line, and vertical lines are Undefined because they go straight up.
what is 4 2/3 + 1 3/4?
Answer: 6 5/12
Step-by-step explanation: You could do 3x4 = 12
so, 2x4 = 8, also 3x3 = 9 which would be 4 8/12 + 1 9/12, then just add.
Answer:
6 5/12
Step-by-step explanation:
We can first begin by separating the whole number and the fraction:
4 + 2/3 + 1 + 3/4
After reordering, it becomes:
4 + 1 + 2/3 + 3/4
5 + 2/3 + 3/4
Now, we must find the common denominator for the fractions so that we may add them:
The common denominator is 12.
5 + 2(4)/3(4) + 3(3)/4(3)
5 + 8/12 + 9/12
5 + 17/12
Simplifying the improper fraction gives us:
5 + 1 + 5/12
And the final answer is:
6 + 5/12
6 5/12
Hope this helped!
you play a casino game until you win for the first time. on average, you win for the first time on the 11th game played. what is the probability of winning the game? round your answer to three decimal places.
The probability of winning the game is 1/11.
what is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.
Given:
If we win the first time on the 11th game played.
So, we can consider the total is 11.
So, the probability of winning the game
= 1/11
Hence, the probability of winning the game is 1/11.
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₁ d 4. Ca are not to scale): 3,4 cm 37 mm 3,2 cm 4,3 cm b) 0.3. Calculate the perimeter of the polygons in centimeters
-3+n ≥ -4n-3 or 3n-4≥4n + 1
Answer:
-3+n ≥ -4n-3
Step-by-step explanation:
its good to use a number for n
if n = 5
-3+n ≥ -4n-3 or 3n-4≥4n + 1
for
-3+n ≥ -4n-3
-3+5 ≥ -4(5)-3
-2 ≥ -20-3
-2 ≥ -23
true
for
3n-4≥4n + 1
3(5)-4≥4(5) + 1
15-4≥20 + 1
11 ≥20 + 1
11 ≥21
not true
How do you find ratios?
For example, if there are 5 blue balls and 7 red balls. the ration of the blue balls with the red balls is
[tex]5\colon7[/tex]it can also be written as a fraction :
[tex]\frac{5}{7}[/tex]It is important to put the one that was mentioned first in the numerator. in this case is blue ball, that's why 5 came first. If we are asked what is the ratio of the red balls with the blue balls , then we will have to indicate 7 first. The ratio will have to be
[tex]\begin{gathered} 7\colon5 \\ or \\ \frac{7}{5} \end{gathered}[/tex]The sequence is important.
q - r - 3s = p solve for q
Answer:
q = p + r + 3s
Step-by-step explanation:
q - r - 3s = p solve for q
q - r - 3s = p
add r to both sides:
q - r - 3s + r = p + r
q - 3s = p + r
add 3s to both sides:
q - 3s + 3s = p + r + 3s
q = p + r + 3s
cards are drawn from a deck (52 cards) until the first spades comes out. the eighth card drawn is the first spade. what is the probability the next card drawn is the ace of spades?
Probability that an ace is pulled from the deck = A/T=4/52=1/13
52 cards are there in all.
Four aces are found in all of the card A's.
Thirteen spades in all.
Probability that an ace is pulled from the deck = A/T=4/52=1/13
likelihood that a spade will be the next card drawn =S/T=13/52=1/4
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If f(1)=4 f(2)=5 and f(n)=f(n-1) + f(n-2) then find the value of f(5)
Answer:
23
Step-by-step explanation:
f(3) = f(2) + f(1) = 5 + 4 = 9
f(4) = f(3) + f(2) = 9 + 5 = 14
f(5) = f(4) + f(3) = 14 + 9 = 23
Answer:
substituting n by 5 gives;
f(5)=(5-1)+(5-2)=7
A plumber charges $25 for a service call plus $50 per hour of survice write an equation in slope-intercept form the cost for,C, after h hours of survice
The total cost for 8 hours of work is $425.
The total cost for 10 hours of work is $525.
The total amount the plumber earns is made up of a fixed charge and a variable charge. A fixed charge is a charge that remains constant regardless of the number of hours the plumber works. The fixed charge is $25. The variable charge is the charge that increases per hours worked. The variable charge is $50 per hour.
Cost = fixed charge + variable charge
C = $25 + $50h
The total cost for 8 hours
$25 + $50(8)
$25 + $400
= $425.
The total cost for 10 hours
$25 + $50(10)
$25 + $500
$525.
Find the value of x in the following equation:
1.2(3x + 5) = 3.6x + 6
Infinite solutions
No solution
x = 1.8
x = 0
1.2(3x+5)=3.6x+6
We move all terms to the left:
1.2(3x+5)-(3.6x+6)=0
We multiply parentheses
3.6x-(3.6x+6)+6=0
We get rid of parentheses
3.6x-3.6x-6+6=0
We add all the numbers together, and all the variables
=0
x=0/1
Hence, x = 0
the sides of a rectangle are in the ratio 4:5.If the breadth is 10cm find the length of the rectangle
Answer:
If breadth means width then it will be 12.5
can someone help me really quick
If the price of apples are proportional, the value of p is $6.75.
What is the value of p?If the relationship between the price of apples and the number of apples bought are proportional, it means that as the number of apples bought increases, the price paid would increase.
The function that represents the cost of purchasing apples is:
Total cost = cost per apple x number of apples bought
$4.50 = 6c
c = $4.50 / 6
c = $0.75
The price of 9 apples is p
p = 9 x $0.95
p = $6.75
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A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. price of 9 apples is $6.75.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
We need to find the value of p.
For 6 Apples the price is $4.5
We need to find for 9 apples.
For 9 apples the price is p, which we have to find
Let us form a equation to find it.
6/4.50=9/p
Apply cross multiplication
6p=4.5(9)
6p=40.5
Divide both sides by 6
p=6.75
Hence price of 9 apples is $6.75.
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please fill in the missing
According to Table B, There is a series that is being followed next, i.e.,
m = (m+1) * (m-1)
In the given data,
Input is 5, then given output is 6 * 4, similarly
Input is 10, then given output is 11 * 9 which implies that
Output is the products of one more than input and one less than input
⇒5 = (5+1) * (5-1)
⇒5 = 6 * 4
again with 15 = (15+1) * (15-1) ⇒ 16 * 14
with 300 = (300+1) * (300-1) ⇒ 301 * 299
At last, we can construct a series from these data,
m = (m+1) * (m-1)
Where m is input and (m+1) * (m-1) is output of data.
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10 gal to quarts ? qt
40 quarts
Explanation
to figure out this we need to know the equivalence
[tex]1\text{ gal=}4\text{ quarts}[/tex]therefore, to convert gal into quarts jus multyply by 4
so
[tex]\begin{gathered} 10\text{gal}=\text{ 10gal}\cdot4(\frac{quarts}{gal}) \\ 10\text{gal}=40\text{ quarts} \end{gathered}[/tex]so, the answer is
40 quarts
I hope this helps you
HELP ASAP PLSSSPLSPSLPSLPLSS
Given f(x) = 3x − 4 and g(x) = f(2x), which table represents g(x)?
The values of g(x) at x = 1, 2 and 3 are 2, 8 and 14 respectively.
Which table contains the values of g(x)?
Since f(x) = 3x - 4 and g(x) = f(2x)
so, in f(x) = 3x - 4, we can replace x with 2x:
g(x) = f(2x) = 3(2x) - 4 = 6x - 4
when x = 1:
g(x) = 6(1) - 4
= 6 - 4 = 2
when x = 2:
g(x) = 6(2) - 4
= 12 - 4 = 8
when x = 3:
g(x) = 6(3) - 4
= 18 - 4 = 14
Therefore, when x = 1, 2 and 3, their corresponding values of g(x) are 2, 8 and 14. So 4th table contains the values of g(x).
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Answer: D
Step-by-step explanation: I Chose D and got it right for my quiz.