Answer:
[tex]f(g(x)) = \sqrt{8x - 4} [/tex]Step-by-step explanation:
[tex]f(x) = \sqrt{x + 7} \\ \\ g(x) = 8x - 11[/tex]To find f(g(x)) substitute g(x) into f(x) that's for every x in f (x) replace it by g (x)
We have
[tex]f(g(x)) = \sqrt{8x - 11 + 7} [/tex]We have the final answer as
[tex]f(g(x)) = \sqrt{8x - 4} [/tex]Hope this helps you
Which of the following statements is true for 6.? Question 16 options: A) It's rational because 6. = 68∕33. B) It's irrational because 6. = 66∕25. C) It's rational because 6. = 66∕25. D) It's irrational because 6. = 68∕33.
Answer:
rational. I can't read the answer choices well.
The correct statement is: "It's rational because 6.24 repeated can be expressed as a fraction." Option A is true.
Here, we have,
To determine if 6.24 repeated is rational or irrational, we need to evaluate the options provided:
A) It's rational because 6.24 repeated = 68∕33.
To evaluate this option, we can convert 6.24 repeated into a fraction form.
Let x = 6.24 repeated.
We can multiply x by 100 to eliminate the repeating decimal:
100x = 624.24 repeated
Subtracting the original equation (x = 6.24 repeated) from the new equation (100x = 624.24 repeated), we can eliminate the repeating decimal:
100x - x = 624.24 repeated - 6.24 repeated
99x = 618
Simplifying:
x = 618/99
Now, let's check if 618/99 equals 6.24 repeated by calculating its decimal value.
Using a calculator, we find that 618/99 is approximately 6.242424..., which matches the repeating pattern.
Therefore, option A is true.
B) It's irrational because 6.24 repeated = 66∕25.
To evaluate this option, we can calculate the decimal value of 66/25 using a calculator. It turns out that 66/25 is approximately 2.64, which is not equal to 6.24 repeated. Therefore, option B is false.
C) It's rational because 6.24 repeated = 66∕25.
To evaluate this option, we can calculate the decimal value of 66/25 using a calculator. It turns out that 66/25 is approximately 2.64, which is not equal to 6.24 repeated. Therefore, option C is false.
D) It's irrational because 6.24 repeated = 68∕33.
To evaluate this option, we can convert 6.24 repeated into a fraction form. As we determined earlier, 6.24 repeated is rational. Therefore, option D is false.
The correct statement is: "It's rational because 6.24 repeated can be expressed as a fraction." Option A is true.
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complete question:
Which of the following statements is true for 6.24 repeated? Question 16 options: A) It's rational because 6. = 68∕33. B) It's irrational because 6. = 66∕25. C) It's rational because 6. = 66∕25. D) It's irrational because 6. = 68∕33.
Why do you only need a single counterexample to show that a conditional statement is false?
Answer:
A conditional statement is something like:
If (a condition is true) Then (something is also true.).
What this says is that ALWAYS that the condition is met, then "something" is also true.
For example:
If A > 3, then A > 2.
This is always true, because if A is larger than 3, then A is always also larger than 2.
Now, if we find a single counter-example, then the "always" is false.
This would mean that the condition is not enough, as we found a case that meets the condition, but the second part of the conditional statement is not true.
For example, if i told you that:
If a number is greater than 234, then the number is also greater than 235.
Now, there are a lot of numbers that are larger than 234 and also are larger than 235.
But here we have a counter-example.
235 is larger than 234, so the initial condition is true, but 235 is not larger than 235.
Then we find a number that makes the statement:
"If a number is greater than 234, then the number is also greater than 235."
false.
Can somebody help me solve this with an explanation?
Answer:
x=1
Step-by-step explanation:
10/x+2/x = 12
Combine like terms
12/x = 12
Multiply each side by x
12/x * x = 12 *x
12 = 12x
Divide by 12
12/12 = 12x/12
1 =x
Answer:
x = 1
Step-by-step explanation:
Combine the two fractions, which is easily done because the denominators are the same:
12
--- = 12, which can also be written as 12 = 12x. Then x = 1
x
At a benefit concert, 13 bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?
Answer: 51891840
Step-by-step explanation:
Given : Total bands = 13
Possible number of bands can perform= 8
For arranging in order we use permutations.
By using permutations, the number of lineups are possible = [tex]^{13}P_8=\dfrac{13!}{(13-8)!}[/tex]
[tex]=\dfrac{13!}{5!}\\\\=\dfrac{13\times12\times11\times10\times9\times8\times7\times6\times5!}{5!}\\\\=51891840[/tex]
Hence, there are total 51891840 line ups are possible.
The slope of a line is a measure of the steepness
True or false
Answer:
The answer is true
Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
HOPE IT HELPS, PLS MARK IT AS BRAINLIEST
What are the angles of a triangle
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The (interior) angles of a triangle always add up to 180 degrees. To find the exterior angles of a triangle, subtract the interior triangle from 360 degrees.
The total degrees of any polygon is (n-2)×180 (n is the number of angles). 3-2 is 1 and 1 times 180 is 180. Therefore, the angles of a triangle always add up to 180 degrees.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
A suitcase has a lock on it consisting of four numbers. Each number could be any number 0-9. The only restriction is that the last slot has to be an even number.
Answer: We have 5000 possible combinations.
Step-by-step explanation:
I guess that we want to find the possible combinations for this lock.
We have 4 numbers, so we have 4 selections.
Now, let's count the number of options in each selection.
in the first selection, we have 10 options (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9)
in the second selection, we have 10 options (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9)
in the third selection, we have 10 options (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9)
in the last selection, we have 5 options (0, 2, 4, 6 and 8)
The total number of combinations is equal to the product of the number of options in each selection:
C = 10*10*10*5 = 5000 combinations.
plesse help on 28 and 29
Answer:
28) Triangle
29) Ray
Step-by-step explanation:
28) A TRIANGLE is a polygon, but not a quadrilateral
29) A RAY had an endpoint, but it’s not a line segment
can anyone plz find the area
Answer:
A = 18 km ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 ( 10 ) * 3.6
A = 18 km ^2
Evaluate each expression if a =2, b = -3 and c = -1 and d =4 (2d-a)>fraction with a b at the bottom
Answer:
-2
Step-by-step explanation:
[tex] \dfrac{2d-a}{b} = \dfrac{2(4)-2}{-3} = \dfrac{8-2}{-3} = \dfrac{6}{-3} = -2 [/tex]
Kyle entered to run in a 5K (5 kilometers) race. He wants to figure out how many miles are in the race. If there are 1000 meters in 1 kilometer, and 1 mile equals approximately 1609.34 meters, how many miles will Kyle run in the race? Round your answer to the nearest hundredth place.
Answer:
3.11 miles
Step-by-step explanation:
Hello!
First we have to get the distance into meters
The problem says there are 5 kilometers in a race and 1000 meters in a kilometer so 5 kilometers is 5000 meters
Now we turn the meters into miles
It says a mile is about 1609.34 so we can divide the amount of meters by how many meters are in a mile
5000/1609.34 = 3.106
Round to the nearest tenth
3.106 ⇒ 3.11
The answer is 3.11 miles
Hope this helps!
The accepted value of the average distance between Earth and the moon is 384, 467 km. If a scientist measures that the moon is 384,476 km form the Earth, what is the measurement's percentage error?
Answer:
Percentage error is 0.0024 %
Step-by-step explanation:
Initial average distance between Earth and moon = 384467 km
Distance measure by the scientist = 384476 km
Total variation in the distance calculation = 384476 – 384467 = 9 km.
Now we can find the percentage by dividing the variation in distance from the initial measurement and then multiply with hundred.
Percentage error = ( 9 / 384467 ) × 100 = 0.0024 %
plz help Write an expression to represent each statement below: The sum of 3 times a number and 14 *
Answer:
3x*14
Step-by-step explanation:
The sum of = A number or addition
A Number = Variable or given number
And = Multiplication/Multiply By
Which state comparing the function is true
Answer:
the slope of W is less than the slope of Z
Step-by-step explanation:
Function Z
find slope take two points (0,15.8) (1,15.76)
m=y2-y1/x2-x1
m=(15.76-15.8)/1-0
m=-0.04
the equation for function z : y=-0.04x+15.8
slope of W=-0.0625 which is less than -0.04
y intercept pf W=30, is greater than the y intercept of Z=15.8
Answer: The first statement is true.
Step-by-step explanation: The slope of function Z is -0.04 or - 1/25 The slope of function W is -0.0625 or -1/16.
Tricky! The absolute values of W are larger, but that makes the slope more negative.
Rearrange the equation so x is the independent variable. y + 6 = 5(x-4)
Answer:
y = 5x- 26
Step-by-step explanation:
x is the independent variable, which means solve for y
y + 6 = 5(x-4)
Distribute
y+6 = 5x -20
Subtract 6 from each side
y+6-6 = 5x -20-6
y = 5x- 26
y = 5x- 26
↗️⬆️⬆️↖️
Answer
This rectangle has side lengths or r and a for each expression say whether it gives the perimeter of the rectangle the area of the rectangle or neither
Answer:
to find the perimiter of a rectangle you use the formula which is P = 2 (L + W)
so it would be 2r + 2s
Step-by-step explanation:
A bean stalk doubled its height every day. This was a magical bean stalk that grew from
the magical beans that Jack planted, which he got from selling his mother's cow. The bean
stalk reached its full height in 100 days. How many days did it take to reach half its height?
Answer:
The number of days it take to reach half its height is 99 days
Step-by-step explanation:
The given parameters are;
The height to which the beans stalk grew daily = Twice the initial height
The time duration for the bean stalk to reach maximum height = 100 days
Therefore, the growth of the bean stock is in the form of a geometric progression with a common ratio, r = 2
The formula for a geometric progression = a×r⁽ⁿ⁻¹⁾
Therefore, the height of the bean is given by the formula a×r⁽ⁿ⁻¹⁾
Where;
The first term = a = 1 (for analysis)
The number of terms (days) = n = 100 for 100 days
Therefore, we have;
After 100 days, the height of the bean = 1×2⁽¹⁰⁰⁻¹⁾ = 2⁹⁹ = 6.34 × 10²⁹
Half the height = 6.34 × 10²⁹/2 = 3.1291265 × 10²⁹
Which gives;
1×2⁽ⁿ⁻¹⁾ = 3.1291265 × 10²⁹
n - 1 = ㏒(3.1291265 × 10²⁹)/㏒(2) = 98
Which gives;
n - 1 = 98
n = 98 + 1 = 99 days.
3x+4+5x+10 simplify combining like terms
Answer:
[tex]\Large \boxed{8x+14}[/tex]
Step-by-step explanation:
[tex]3x+4+5x+10[/tex]
Grouping the like terms.
[tex](3x + 5x) + (4+10)[/tex]
Combining the like terms.
[tex]8x+14[/tex]
Answer:
[tex] \boxed{ \bold{ \sf{ \huge{ \bold{8x + 14}}}}} [/tex]Step-by-step explanation:
[tex] \sf{3x + 4 + 5x + 10}[/tex]
Collect like terms
Like terms are those which have the same base. Only coefficient of like terms can be added or subtracted.
⇒[tex] \sf{3x + 5x + 4 + 10}[/tex]
⇒[tex] \sf{8x + 4 + 10}[/tex]
Add the numbers
⇒[tex] \sf{8x + 14}[/tex]
Hope I helped!
Best regards!!
Which term does not belong with the other three? AB plane CDE FG HI
Answer: your answer should be HI i hope it helps
1) What is the difference between rigid and non rigid motion?
Answer: Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease
Step-by-step explanation:
Karla is in Group A, where 56 orange slices are shared equally among 7 people.
Jade is in Group B, where 54 orange slices are shared equally among 6 people
.
Who had the greater share of orange slices, Karla or Jade?
Answer:
Jade
Step-by-step explanation:
Help please I need a little help I kinda don’t get it.
Answer:
12 eggs / 2 TBSP
24 eggs / 4 TBSP
Step-by-step explanation
depending on how much quiche you want, you can alter the recipe by doubling, tripling or even quadrupling the batch. For this example, every time 6 eggs were added, 1 tbsp of butter was added, so if we double that, 12 eggs were added and 2 tbsp of butter was added.
I NEED HELP PLEASE !!!!
Answer:
See below
Step-by-step explanation:
So we have the following six values:
[tex]77.65488139\\\sqrt{0.156}\\368. 5468432...\\253,897,615.\bar3\\14.19274128...\\\\\sqrt{\frac{4}{9} }[/tex]
And we want to determine which are irrational.
Recall what irrational numbers, are they are numbers that do not repeat nor terminate. In other words, they never end, and their digits never repeat.
So, let's go through each one.
77.65488139 is rational. Yes, it has a lot of decimal places but notice there are no ellipses after it. Thus, it terminates and is rational.
√(0.156) is about (use a calculator) 0.39496835... It is not repeating nor does it end. Thus, √(0.156) is irrational.
368.5468432... has the ellipses. Thus, it doesn't repeat and doesn't terminate. It's irrational.
253,897,615.3 has a bar over the 3 at the end. This means that this repeats. Therefore, while it doesn't terminate, it is rational.
14.19274128... has an ellipses. It doesn't repeat nor terminate. It's irrational.
Lastly, the square root can be simplified to 2/3. This is approximately .6666... While this doesn't terminate, it repeats, so it's rational.
Edit: Grammar
Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (−9, 6) m is undefined
Answer:
x = -9
Step-by-step explanation:
A line with "undefined" slope is a vertical line. Its equation is of the form ...
x = constant
If the line is to go through a point with an x-coordinate of -9, then that must be the value of the constant.
x = -9
-1 1/2+(-2 12/23)+5 7/46
Answer:
23/26 1 3/26
Step-by-step explanation:
you make to where all the denmanters are the same and add
The perimeter of the rectangle is 28 units.
What is the value of w?
5 units
7 units
14 units
15 units
Answer:
since we can't see the image, I'm just giving it a try
if it's wrong, it's fine for you to delete it
(see below)
Step-by-step explanation:
if one of the length is 5.6 units then the other will be 5 units
if one of the length is 4 units then the other will be 7 units
if one of the length is 2 units then the other will be 14 units
if one of the length is 1.86666666667 units then the other will be 15 units
if you're looking of an area, it might be 7 units
and I think that's all I've got
(hope it helps)
Eight less than three times x in a expression
Answer:
3x - 8
Step-by-step explanation:
I'd have to see a photo of the question, but eight less than three times x can be translated to 3x - 8.
solve for x -12 ≤ 44+ x
Answer:
x can be all real numbers
Step-by-step explanation:
x - 12 ≤ 44 + x
Subtract x from both sides.
-12 ≤ 44
This statement is true, so the inequality is true for all values of x.
Now let's see how this makes sense. Look at the original inequality.
x - 12 ≤ 44 + x
Rewrite as:
x - 12 ≤ x + 44
What does there inequality mean? Subtract 12 from a number, and compare that with adding 44 to the same number. Of course, a number minus 12 is always less than the same number plus 44. It makes sense that this inequality is true for all values of x.
Answer:
[tex]\large \boxed{\mathrm{All \ real \ numbers}}[/tex]
Step-by-step explanation:
[tex]x -12 \leq 44+ x[/tex]
Subtract x from both parts.
[tex]x -12 -x\leq 44+ x-x[/tex]
[tex]-12\leq 44[/tex]
This is true.
The value of [tex]x[/tex] is all real numbers.
Using the image as a reference, what is the csc of angle 90 - x?
Answer:
Option (F)
Step-by-step explanation:
Cosec of an angle is the ratio of Hypotenuse and Opposite side.
From the figure attached,
ΔABC is a right triangle.
m∠A + m∠B + m∠C = 180°
m∠A + 90 + x = 180
m∠A = 180° - (90 + x)°
= (90 - x)°
Now csc (90 - x)° = [tex]\frac{\text{Hypotenuse}}{\text{Opposite side}}[/tex]
= [tex]\frac{\text{AC}}{\text{BC}}[/tex]
= [tex]\frac{5}{3}[/tex]
= 1.67
Therefore, Option (F) will be the answer.
Plane H is shown. Plane H contains four points. Points A, C, and D form a diagonal line on the left. Point B is to the right of point C. Which points are coplanar and noncollinear? points A and D points C and D points A, C, and D points A, B, and D
Answer:
d
Step-by-step explanation:
edg 2021
Answer:
d
Step-by-step explanation: