Answer:
9
Step-by-step explanation:
you must use PEMDAS:
1) Parentheses
2)Exponents ( you have no expeonents here
3) Multiply
4) Divide
5) Add
6) Subtract
solve in this order ^^
hope this helpsss
Identify the highlighted part of circle O shown below
Central angle
Secant
Inscribed angle
Chord
Answer:
Chord
Step-by-step explanation:
Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.
Scenario
Three friends are comparing how fast their social media posts have spread with the goal of having the most shares. Their results are shown below.
Amber: Amber shared her photo with 3 friends. They continue sharing the picture every day, so the number of shares can be represented by f(x) = 34x
Ben: Ben shared his photo with 2 friends. Each of those friends share with 3 more each day, so the number of shares triples every day.
Day
Number of Shares
0
2
1
6
2
18
Carter: Carter shares his post with 10 friends, who each share the post with only 2 friends each day.Exponential Functions
1) Ben’s social media post: ____________________________
2) Carter’s social media post: _____________________________
The function that gives the shares received by a post whereby each friend
shares the post a constant multiple of times each day is exponential.
Responses;Ben's social media post: 2 × 3ⁿCarter's social media post: 10 × 2ⁿMethods by which the above expressions are obtained:Ben's social media posts;Given:The given table of values for Ben's social media post is presented as follows;
\(\begin{tabular}{|c|c|}Day&Number of shares\\0&2\\1&6\\2&18\end{array}\right]\)
Solution:The number of shares triples everyday, therefore, the number of shares form a geometric progression, with a common ratio of r = 3, and a first term of a = 2
The function for the number of shares of Ben's post is, tₙ = a·rⁿ
Which gives;
Ben's social media post shares on day tₙ = 2·3ⁿCarter's social media posts;Given;Number of friends Carter shared his post with = 10 friends
Number of people each of the 10 friends shared with each day = 2 people
Solution;The exponential function for number of shares received by Carter is therefore, tₙ = 10×2ⁿ
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I need help
Solve the expression when X =5;3(X+2)=
\(\implies {\blue {\boxed {\boxed {\purple {\sf {21}}}}}}\)
\(\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}\)
\(3 \: ( \: x + 2 \: )\)
Plugging in the value \(x = 5\) in the above expression, we have
\( = 3\:( \: 5 + 2 \: )\)
\( = 3 \: ( \: 7 \: )\)
\( = 3 \times 7\)
\( = 21\)
Note:-\(\sf\pink{PEMDAS\: rule.}\)
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}\)
Tom wants to buy 3( 3)/(4) cups of almonds. There are ( 5)/(8) of a cup of almonds in each package. How many packages of almonds should Tom buy?
Tom wants to buy 3( 3)/(4) cups of almonds. There are ( 5)/(8) of a cup of almonds in each package. Tom should buy 24 packages of almonds to obtain 3(3/4) cups of almonds.
To find the number of packages, we first convert the mixed number 3(3/4) to an improper fraction. The improper fraction equivalent of 3(3/4) is (4*3+3)/4 = 15/4 cups of almonds.
Next, we divide the total cups needed (15/4) by the amount of almonds in each package, which is (5/8) of a cup. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, (15/4) / (5/8) becomes (15/4) * (8/5).
Simplifying the multiplication of fractions, we cancel out common factors between the numerator of the first fraction and the denominator of the second fraction. After cancellation, we have (3/1) * (8/1) = 24.
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A) 11
B)20
C)22
D)33
E)40
Answer:
11 THE ANSWER IS 11 ELEVEN
when two consecutive whole numbers are randomly selected, what is the probability that one of them is a multiple of $4$? express your answer as a common fraction.
When two consecutive whole numbers are randomly selected, the probability that one of them is a multiple of 4 is 1/2.
To find the probability that one of the two consecutive whole numbers selected is a multiple of 4, follow these steps:
Identify the pattern of multiples of 4.
Multiples of 4 follow this pattern: 4, 8, 12, 16, and so on.
Observe the consecutive whole numbers that include a multiple of 4.
When selecting two consecutive whole numbers, they will be in one of the following forms:
a) (Multiple of 4) and (Multiple of 4 + 1)
b) (Multiple of 4 - 1) and (Multiple of 4)
Determine the probability of each form.
a) For every 4 consecutive whole numbers, there is one pair of the form (Multiple of 4) and (Multiple of 4 + 1). Thus, the probability of this form is 1/4.
b) Similarly, for every 4 consecutive whole numbers, there is one pair of the form (Multiple of 4 - 1) and (Multiple of 4). The probability of this form is also 1/4.
Calculate the total probability.
The total probability is the sum of the probabilities of both forms:
Total Probability = (Probability of form a) + (Probability of form b)
Total Probability = (1/4) + (1/4) = 2/4
Simplify the fraction.
The total probability can be simplified to 1/2.
So, when two consecutive whole numbers are randomly selected, the probability that one of them is a multiple of 4 is 1/2.
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Divide f(x) by d(x). Your answer
should be in the following format:
f(x)
d(x)
f(x)
d(x)
=
=
Q(x) +
R(x)
d(x)
x³ + 2x² - 72x - 28
x-8
R(x) = [?]
Only enter the R(x) term.
The value of R(x) term is 36.
We are given that;
The equation x³ + 2x² - 72x - 28
Now,
We divide the first term, 8x, by the first term of d(x), which is x. This gives us 8, which is the third term of Q(x). We write 8 above the division bar and multiply it by d(x), which gives us 8x - 64. We subtract this from the new dividend, which gives us 36.
Since we cannot divide 36 by x-8 any further, we stop here and write 36 as the remainder R(x).
x² + 10x + 8
_______________
x-8 | x³ + 2x² - 72x - 28
- (x³ - 8x²)
-------------
10x² - 72x
- (10x² -80x)
-------------
8x -28
- (8x -64)
----------
36
Q(x) = x² + 10x + 8 and R(x) = 36.
Therefore, by the equation the answer will be R(x) = 36.
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helpppp please asappp
Answer: i may be wrong but is it 4?
Solve the following simultaneous equations using elimination method.
3x+2y=19, x+2y= 13
The solution of the given simultaneous equations is x = 3 and y = 5.
The given equations are:
3x + 2y = 19
x + 2y = 13
To solve them using the elimination method, we need to eliminate one variable from the equations. In this case, we can eliminate y by subtracting the second equation from the first equation, as follows:
(3x + 2y) - (x + 2y) = 19 - 13
Simplifying the left-hand side, we get:
2x = 6
Dividing both sides by 2, we obtain:
x = 3
Now that we have found the value of x, we can substitute it back into one of the original equations to find the value of y. Let's substitute it into the second equation:
x + 2y = 13
3 + 2y = 13
Subtracting 3 from both sides, we get:
2y = 10
Dividing both sides by 2, we obtain:
y = 5
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Write 4.135 as a fraction write f as a fraction don't worry about simplifying
Answer:
827/200
Step-by-step explanation:
Can't explain, it is I think.
Convert your answer from 3 to meters per second. (HINT) 250,000/3600
Answer:
69.4
Step-by-step explanation:
you just divide the 2 numbers duhh use the caculater unless its that lazyness
The number of pupils in a school increases by 15% every year. If there are 1058 pupils this year, what was the enrollment last year?
Hi there
I think I maybe able to help.
Here is my answer:
996
Hope this helps
7. How much bleach would you use to prepare 1000 mL of a 1:32 solution?
1 : 32 = X : 1000
To prepare a 1000 mL of a 1:32 ratio bleach solution, you would need to mix 31.25 mL of bleach with 968.75 mL of water.
To calculate the amount of bleach needed to make a 1000 mL solution, we can set up the following proportion:
1 part bleach / 32 parts water = X mL bleach / 1000 mL total solution
Cross-multiplying, we get:
32X = 1000
Solving for X, we get:
X = 1000 / 32 = 31.25 mL of bleach
Therefore, to prepare a 1000 mL 1:32 bleach solution, you would need to mix 31.25 mL of bleach with 968.75 mL of water.
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A researcher found a study relating the distance a driver can see, y, to the age of the driver, When researchers looked at the association of x and y, they found that the coefficient of determination was =0.542. Select two conclusions that the researcher can make from this data. a.) The correlation coefficient, t, is-0 458. b.) About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age. c.) About 74% of the variation in the driver's age is explained by a linear relationship with the distance that the driver can see d.) The correlation coefficient, t.is -0736. e.) About 46% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.
Two conclusions that the researcher can make from the coefficient of determination of 0.542 are:
b.) About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.
e.) About 46% of the variation in distance that the driver can see is not explained by the linear relationship with the driver's age, and may be due to other factors.
Option a is incorrect because the question does not provide the correlation coefficient. Option c is incorrect because the coefficient of determination does not provide information about the variation in the driver's age. Option d is also incorrect because the provided value does not match with any possible correlation coefficient for this situation.
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Your company wants to purchase some equipment for recycling metals. Machine A costs $323,000 and has a useful life of 10 years. Its operating costs are $2.40 per ton of metal processed. Machine B costs $178,000 and has a useful life of 6 years. Its operating costs are $8.00 per ton of metal processed. How many tons of metal per year must your company process to favor Machine A over Machine B? Assume an MARR of 18% per year.
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To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.
By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.
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How many people are ten percent of the world's population?.
12. A hot air balloon is flying at an altitude of 1,000 ft. The pilot wants to increase the altitude of
the balloon at 5° angle over the next 500 ft. What will be the balloon's change in altitude?
(sin 5° -0.0872; cos 5º = 0.9962; tan 5° = 0.0875)
A. 25.8 ft
B 43.7 ft
C. 231.4 ft
D. 498 ft
Balloon's altitude = 43.7ft as
change in altitude/500 = tan 5°
change in altitude = .0875*500
=43.7ft
19. What are equivalent statements to a + 3 = 18 and 4 b = 32?
a = 18-3 and b = 32/4
a=18/3 and b = 32/4
a = 18/3 and b = 32-4
a = 18-3 and b = 32 - 4
Answer:
The choice second . a=18/3 and b = 32/4
Step-by-step explanation:
\(a + 3 = 18 \\ a = 18 - 3\)
\(4b = 32 \\ \\ b = \frac{32}{4} \)
Can someone please help me with math.
Answer:
A
Step-by-step explanation:
11 people were given 15% off in the afternoon
11 is the lowest number in the entire chart
Answer:
a
Step-by-step explanation:
What is the SAS theorem?
The side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.
What is the congruence of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.
Slide, twist, flip, and turn these triangles to create an identical appearance.
They are in alignment with one another when moved.
The first such theorem is the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are equivalent to two sides and an included angle of another triangle.
Therefore, the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.
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x - 35 > 15 I cant figure this out pls help me 5 pts
Answer:
x can be anything higher than 45. For example, x can be 50. That would be 20 (or x) is greater than (>) 15.
Step-by-step explanation:
Hope this helps. If you found it useful, brainliest would be great.
-
If f(x) is an exponential function where f(3.5) = 25 and f(8.5) = 14, then find
the value of f(5.5), to the nearest hundredth.
Using an exponential function, it is found that f(5.5) = 19.8.
What is an exponential function?An exponential function is a function in which the growth rate is a percentage, modeled by:
\(y = ab^x\)
In which:
a is the initial value.b is the rate of change.f(3.5) = 25 means that:
\(ab^{3.5} = 25\)
\(a = \frac{25}{b^{3.5}}\)
f(8.5) = 14 means that:
\(ab^{8.5} = 14\)
Hence:
\(\frac{25}{b^{3.5}} \times b^{8.5} = 14\)
\(25b^5 = 14\)
\(b = \sqrt[5]{\frac{14}{25}}\)
\(b = 0.89\)
\(a = \frac{25}{0.89^{3.5}} = 37.59\)
Hence, the function is given by:
\(y = 37.59(0.89)^x\)
Then, when x = 5.5:
\(f(5.5) = 37.59(0.89)^{5.5} = 19.8\)
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Answer:
Step-by-step explanation:
19.83
Let the graph of g be a vertical stretch by a factor of 2 and a
reflection in the x-axis, followed by a translation 3 units down of
the graph of f(x) = x². Write a rule for function g and identify the
vertex.
Vertex is slang for a corner or a place where two lines converge.The four corners of a square, for instance, are each referred to as a vertex.
Write a rule for function g and identify the vertex ?
The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of f(x) = (x-1)²then the function g(x) = 2(x+4)²
f(x) =x²-2x+1 The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of .f(x) =x²-2x+1
Rewrite the given function f(x).
f(x) = (x-1)²
Now, the graph is stretched vertically by a factor of 2.
= 2(-x-1)²
reflect the graph about the y-axis.
2(x+1)²
move to the left by 3 units.
= 2(x+3+1)²
=2(x+4)²
The function g(x) =2(x+4)²
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ehat is the quotation of 9÷1/2
Answer:
18
Step-by-step explanation:
9 divided by 1/2
9 is a whole number
1 is the numerator and 2 is the denominator
To put it in fraction form multiple 9 x 2 over 1
Which equals 18/1
18 divided by 1 is 18
Answer:
18
Step-by-step explanation:
If you meant, what is the quotient of 9 ÷ 1/2 we get:
\(9/\frac{1}{2}=\\\\9*\frac{2}{1}=\\\\\frac{18}{1} =\\\\18\)
pls help asap if you can!!!!!
Answer:
x = 24
Step-by-step explanation:
if a and b are parallel then
62 and 5x - 2 are same- side interior angles and sum to 180° , that is
5x - 2 + 62 = 180
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
thus for a to be parallel to b , then x = 24
A group of 80 frogs was observed. The mean distance of their hops is 69 inches with a standard deviation of 3.5 inches. How many frogs would you expect to jump more than 72.5 inches?
Hello,
\(z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\\)
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈13 (frogs)
Answer:
12 frogs
Step-by-step explanation:
Hello,
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.
ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.
A scientist is determining the mass of 22000 molecules of oxygen. How many significant digits should be in the solution?
Based on the mass of the molecules of oxygen that the scientist determined, the number of significant digits in the solution is 2.
How to count significant digits?When counting the significant figures in a number, the first rule is that any digit that isn't a zero would be considered a significant digit.
Zeros that are trailing in a number however, and are not considered decimals, are not counted as significant digits. This means that both the 2 number 2s in the figure will be significant figures.
The three zeros are trailing but not decimals so they are not considered significant. This means that in the mass of oxygen according to the scientist, has only 2 significant figures.
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Solve for p.
4p + 19 + 13p = –17 − p
Answer:
p=-2
Step-by-step explanation:
4p + 19 + 13p = –17 − p
4p+13p=17p
17p + 19 = -17 - p
18p=-36
p=-2
So the value of p is -2.
Look at the attached picture
Hope it will help you
Good luck on your assignment
john went from weighing 140 pounds to 155 pounds. what is the percent of change and is it an increase or decrease?
Weight of the John increased by 10.71 percent as he is weighing 140 pounds to 155 pounds.
As given in the question,
Original weight of John is equal to 140 pounds
John's changed weight is equal to 155 pounds
155 is greater than 140 pounds
Increase in John's weight.
Change in weight = Increased weight - actual weight
Percent of change in John's increased weight
= [ | change in weight| / Actual weight ] × 100
= [(155 - 140 ) / 140] × 100
= (15 / 140)× 100
= 10.71%
Therefore, the percent of change in John's weight is increased by 10.71%.
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5-7
To rationalize the denominator of
9- 114 · you should multiply the expression by which fraction?
o
5+
g-ſ14
9-14
9-14
9+ 14
9+
14
14
14
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.
follow the rule
\(\\ \sf\longmapsto \dfrac{a+b}{c-d}\)
To rationalize the above fraction we need to change the sign of denominator patt and multiply with both numerator and denominator
Like
\(\\ \sf\longmapsto \dfrac{a+b(c+d)}{(c-d)(c-d)}\)
Here correct option is C