If 65% of Americans are overweight, how many people would be overweight in a city of 1.5 million?
Answer:
hey There
Step-by-step explanation:
This compares with 27.5 percent of those age 55 to 64 and 25.6 percent of those age 65 to 74. With respect to being overweight, 31.8 percent of the individuals 75 and older were such, while 37.9 percent of 55 to 64 year olds and 37.8 percent of individuals age 65 to 74 were overweight (figure 1).
Answer:
66.9%
i hope thats right
HELP 10 MIN LEFT!!!!
Answer:
To one decimal place,
y = 16.3 m
Step-by-step explanation:
Using SOHCAHTOA,
In this case we need to use CAH,
WE know the angle = 25 and the hypotenuse H = 18,
so,
y = adjacent
\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)
Answer: 16.3 in.
Step-by-step explanation:
use SOH CAH TOA
cos x = adj/hyp
cos 25 = y/18
18 cos 25 = y
y= 16.3
five less than four times a number is greater than or equal to 3. Is 2 a solution?
The statement five less than four times a number is greater than or equal
to 3 indeed has a solution results to 2.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A statement five less than four times a number is greater than or equal to 3.
Let, The unknown number be 'n'.
Therefore, The numerical form of the statement is,
4n - 5 ≥ 3.
4n ≥ 8.
n ≥ 2.
So, Yes 2 is a solution.
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NO LINKS!!
1. Is it possible for the sequence t(n) = 5·2ⁿ to have a term with the value of 200? If so, which term is it? If not, justify why not.
2. Is it possible for the function f(x) = 5·2ˣ to have an output of 200? If so, what input gives this output? If not, justify why not.
Answer:
1) No,2) Yes, x ≈ 5.32-----------------------------
Part 1Given sequence:
t(n) = 5 · 2ⁿIf t(n) = 200, we can try to find the value of n:
5 · 2ⁿ = 2002ⁿ = 40There is no integer solution, since 32 < 40 < 64 or 2⁵ < 40 < 2⁶, the value of n should be between 5 and 6.
The sequence should include integer numbers, so there is no solution.
Part 2Given function:
f(x) = 5 · 2ˣSolve for x if f(x) is 200:
5 · 2ˣ = 2002ˣ = 40log 2ˣ = log 40x log 2 = log 40x = log 40 / log 2x = 5.32 (rounded)Answer:
1. No
\(\textsf{2.} \quad x=\dfrac{\ln 40}{\ln 2} \approx5.32\;(\sf 2\;d.p.)\)
Step-by-step explanation:
Question 1Given sequence:
\(t(n)=5 \cdot 2^n\)
To determine if the sequence has a term with a value of 200, substitute t(n)=200 into the equation and solve for n:
\(\implies 5 \cdot 2^n=200\)
\(\implies 2^n=40\)
\(\implies \ln 2^n=\ln 40\)
\(\implies n\ln 2=\ln 40\)
\(\implies n=\dfrac{\ln 40}{\ln 2}\)
\(\implies n=5.3219280...\)
In a sequence, n is a positive integer. Therefore, it is not possible for the sequence to have a term with the value of 200, as when t(n)=200, n is not a positive integer.
Question 2Given function:
\(f(x)=5 \cdot 2^x\)
To determine if the function has an output of 200, substitute f(x)=200 into the function and solve for x:
\(\implies 5 \cdot 2^x=200\)
\(\implies 2^x=40\)
\(\implies \ln 2^x=\ln 40\)
\(\implies x=\dfrac{\ln 40}{\ln 2}\)
\(\implies x=5.3219280...\)
Therefore, it is possible for the function to have an output of 200 when:
\(x=\dfrac{\ln 40}{\ln 2}\)
PLS HELP WILL GIVE BRAINLIEST IF CORRECT (NO LINKS)
Find the measure of arc BC.
Answer: A 129
Step-by-step explanation:
Because the 2 chords are the same (lines in the circle), the 2 arcs are the same create an equation that makes them equal
3x+24 = 4x -11 >bring x to one side by subtracting both sides by 3x
24 = x -11 > add both sides by 11
35 = x
Now that we have solved for x you need to plug that back into the equation for BC
BC= 4x-11
BC = 4(35) - 11
BC = 140 - 11
BC = 129 >A
Find formulas for ........
Step-by-step explanation:
f(g(x)) is formula put the value
9. A periodic deposit is made into an annuity with the given terms. Find how much the annuity will hold at the end of the specified amount of time. Round your answer to the nearest dollar. Regular deposit: $1100 Interest rate: 3.7% Frequency daily Time: 23 years Future value: $
Financial Maths
A sequence of equal payments (or deposits) at equal periods of time is called an annuity.
The future value of an annuity can be calculated with the formula:
\(FV=A\cdot\frac{(1+i)^{n\cdot t}-1}{i}\)Where:
FV is the future value of the annuity
A is the periodic deposits
n is the number of compounding periods per year
i is the interest rate adjusted to the compounding periods. i = r/n where r is the APR.
t is the duration of the investment in years
The financial variables for this investment are:
A = $1100
r = 3.7% = 0.037
n = 360. Daily compounding
i = 0.037/360 = 0.000102777
It's crucial to keep as many decimals as possible in the calculations.
Applying the formula:
\(FV=1100\cdot\frac{(1+0.000102777)^{360\cdot23}-1}{0.000102777}\)Calculating:
\(FV=1100\cdot\frac{(1.000102777)^{8280}-1}{0.000102777}\)\(FV=1100\cdot13056.18\)FV = $14,361,798.98
Calculation steps (in strict order)
* Add 1 + 0.00010277 = 1.00010277
* Multiply 360*23 = 8280
* Raise 1.00010277^8280 = 2.341885
* Subtract 1 = 1.341885
* Divide by 0.00010277 = 1.341885/0.00010277=13056.18
* Multiply by 1100: $14,361,798.98
Rounded to the nearest cent
NEED HELP ASAP WILL GHVE BRAINLEST AND TONS OF POINTS
The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively
How to calculate the value of the missing sides of the given triangle?Triangle PQS is congruent with triangle PRS
Therefore, PQ = PR
That is;
PQ = 8
PR = 2x
8 = 2x
X = 8/2 = 4
PR = 2(4) = 8
For ST;
Triangle VST = VUT
That is, TU = ST
ST = 5z
TU = 2z+3
5z = 2z+3
5z+2z = 3
z= 3/3 = 1
ST = 5(1) = 5
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XZ.P Point P(-7, 2) is mapped onto P¹ (3, -11) by the reflection y=mx+c. find the values of the constants m and c.
The values of the constants m and c include the following:
m = -1.3
c = 7.1
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;
2 = -7m + c ...equation 1.
-11 = 3m + c ...equation 2.
By solving the system of equations simultaneously, we have:
2 = -7m - 3m - 11
11 + 2 = -10m
13 = -10m
m = -1.3
c = 7m + 2
c = 7(-1.3) + 2
c = -7.1
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15 POINTS
Using Pythagoras' theorem, calculate the length
of XY.
Give your answer in centimetres (cm) to 1 d.p.
Answer:
13.27 cm
Step-by-step explanation:
I am using (xy) to mean the length of the side xy
7^2 + (xy)^2 = 15^2
49 + (xy)^2 = 225
(xy)^2 = 225-49
(xy)^2 = 176
Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm
Enola wants to invest $8,600.00 in a savings account that pays 5.1% simple interest.
How many years will it take for this investment to triple in value?
Round your answer to the nearest tenth of a year.
years for this investment to triple in value.
It will take _____ years for this investment to triple in value.
Step-by-step explanation:
To find the number of years it will take for Enola's investment to triple in value, we can use the formula for simple interest:
I = P * r * t
where I is the total interest earned, P is the principal (the initial amount invested), r is the interest rate, and t is the number of years.
Since the investment will triple in value, the total interest earned will be equal to two times the initial investment, or 2 * $8,600.00 = $17,200.00. Substituting these values into the formula and solving for t, we get:
$17,200.00 = $8,600.00 * 5.1% * t
t = $17,200.00 / ($8,600.00 * 5.1%) = 3.28 years
Rounding this value to the nearest tenth of a year, we get t = 3.3 years. Therefore, it will take approximately 3.3 years for Enola's investment to triple in value.
A professional dance instructor lost significant muscle mass while recovering from a serious auto crash. She can now resume her routine and is able to gain back 7% of her weight each month (i.e. 7% of the value displayed on a scale during each monthly weigh-in). If she is currently 125 lbs, what will her weight be after four months (to the nearest pound)?
Answer:
the allele for unattached earlobes is dominant over the allele for attached earlobes. In a population if “500 individuals”, 25 percent show the recessive phenotype. How many individuals would you expect to be heterozygous for this trait?
possible answers:
• 75
•125
•200
•25
Step-by-step explanation:
please mark me as brainliest
Answer:
what is brainwnnkj?
Step-by-step explanation:
Determine the slope from the graphs
Answer:
This is solved
Step-by-step explanation:
Hope this helps
Convert the following dimensions into feet using the provided scale. Fraction or
decimal answers are fine.
Measurement: 3 1/4 in. x 4 1/16 in.
Scale: 1/8 in. = 1 ft
Thus, the value of measurement in the unit of feet converted from inch are - Measurement: 26 ft. x 32.5 ft.
Explain about the scale factor:The ratio of equivalent sides on two comparable figures is known as the scale factor. Scale factor in mathematics is used to quantify how much larger or smaller one object or figure is in comparison to another. On a map, scales are frequently present. The scale factor in geography typically refers to how accurately the scale depicted on the map reflects actual distance.
Given:
Measurement: 3 1/4 in. x 4 1/16 in.
Scale: 1/8 in. = 1 ft
Convert the mixed fraction of measurement into proper fraction:
Measurement: (3*4 + 1)/4 in. x (4*16 + 1)/16 in.
Measurement: 13/4 in. x 65/16 in.
Now,
Scale: 1/8 in. = 1 ft
1 in. = 1*8 ft
1 in. = 8 ft
Thus, multiply each measurement by 8 to get the values in ft.
Measurement: 13*8/4 ft. x 65*8/16 ft.
Measurement: 13*2 ft. x 65/2 ft.
Measurement: 26 ft. x 32.5 ft.
Thus, the value of measurement in the unit of feet converted from inch are - Measurement: 26 ft. x 32.5 ft.
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PLS HELP I NEED THIS DONE ASAP
Answer:
\(-\frac{11}{12}\)
Step-by-step explanation:
please can i have brainliest
hope its right
I think that 1 cannot be an even or an odd number because it cannot be divided by 2. am I correct?
Use the Distributive Property to expand 8(3x−6y)−5. 8(3x−6y)−5=
Answer:
6.6x-13.2y-5
Step-by-step explanation:
8(3x−6y)−5. 8(3x−6y)−5 first distribute the 8 throughout the parentheses which gives you 24x-48y-17.4x+34.8y-5
then collect like terms to get your solution which is 6.6x-13.2y-5
hope this helps!
Which dotted line segment correctly represents the perpendicular bisector of line segment XY?
AB
CD
GF
TW
AB line segment correctly represents the perpendicular bisector of line segment XY.
What is Line segment?Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.
Given that;
There are 4 doted lines are shown.
Now, From all dotted line;
Line segment AB divides the line segment XY into two equal parts.
Hence, AB line segment correctly represents the perpendicular bisector of line segment XY.
Thus, ''AB line segment'' correctly represents the perpendicular bisector of line segment XY.
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A caterer for a wedding reception wants to use a recipe for eggplant salad that recommends using 0.7 kg of eggplant for guests. However, in her area, eggplant is only sold by the pound. If 70 guests are expected, how many pounds of eggplant should the caterer purchase?
By performing a change of units, we will see that the caterer should purchase 107.8 lb
How many pounds of eggplant should the caterer purchase?First, let's find how many kilograms are needed. We know that the recipe recomends using 0.7kg per person, and there are 70 guests, so an estimate of the mass needed is:
M = 70*0.7kg = 49 kg
Now weneedto do a change of units, we know that:
1 kg = 2.2 lb
Then we can rewrite:
49 kg = 49*(2.2 lb) = 107.8 lb
The caterer should purchase 107.8 pounds
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Algebra Question
Let v = (-7,6,-6) and w = (-5,-3,-6) be vectors in R^3. Find the orthogonal projection of v onto w.
Answer:
Projection on w: (-54/14, -159/70, -159/35)
I have the correct answer but I don't know how they got it.
The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).
To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:
proj_w(v) = (v⋅w) / (w⋅w) * w
where ⋅ denotes the dot product.
Calculating the dot product of v and w:
v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53
Calculating the dot product of w with itself:
w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70
Now, substituting these values into the formula, we have:
proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)
Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).
In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.
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If 82 pages had between 7 and 9 errors, what was the approximate total number of pages in the book?
A: 202 pages
B: 120 pages
C: 68 pages
D: 56 pages
Answer:
120 pages
Step-by-step explanation:
The mean number of error per page = 8 ; Standard deviation = 1
Given that :
82 pages has between 7 and 9 errors per page ;
Using the empirical rule :
7 = 8 - 1 = 1 standard deviation below the mean
9 = 8 + 1 = 1 standard deviation above the mean
1 standard deviation from the mean = 68%
Hence, 82 pages = 68%
Approximate total pages :
68% = 82
100% = total pages, x
0.68 = 82
1 = x
0.68x = 82
x = 82 / 0.68
x = 120.588
Hence, total number of pages is 120 pages
Factorize (a+b)² - (a-b)²
\(~~(a+b)^2 -(a-b)^2\\\\=(a+b+a-b)(a+b-a+b)~~~~~~~~~~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\=(2a)(2b)\\\\=4ab\)
Justine signed up for a gym membership. The gym charges a one-time fee of $59 plus a monthly fee. Justine determines that she will pay a total of $557 for her gym membership after one year. How much does the gym charge per month?
The gym charges $41.5 per month.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
One time fee of gym = $59
Justine will pay after one year = $557
So, gym fees per year = $557 - $59
⇒ gym fees per year = $498
∴ gym fees per month = gym fees per year / 12
⇒ gym fees per month = $498/12
⇒ gym fees per month = $41.50
Thus,the gym charges $41.50 per month.
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There is a sale at khols, and tennis shoes are 30% off. How much are you saving if the shoes originally cost $62
Answer: $18.6
Step-by-step explanation: If we take a look at the sale off the shoes cost which is $43.4 and look at the sale amount (30%) which is 18 dollars and 60 cents the answer is: 18.6 or $18.6 off
Sabrina read 45% of the book that her English teacher
assigned. Which of the following correctly shows 45% as a
decimal and as a fraction?
A. 45%=45/100=9/20 B. 45% = 4.5 = 45/10 = 9/2 C. 45% = 45 = 450/100 = 9/2 D. 45% = 0.045 = 45/1,000 = 9/200
Answer:
A. 45%=45/100=9/20
Step-by-step explanation:
45% is 45 out of 100 or 45/100
9 divided by 20 equals 0.45
They are both equal to 45%
"If 54 oranges costs find the cost - Of 3 I
oranges
Answer:
Step-by-step explanation:
Cost of 3 oranges = cost of 54 oranges / 18
If g(x)is the inverse of f(x) and f (x) = 4 x + 12, what ig(x)
g (x) = 12 x + 4
g (x) = one-fourth x minus 12
g (x) = x minus 3
g (x) = one-fourth x minus 3
Answer:
The inverse of a given function
d) \(g(x) = \frac{1}{4} x - 3\)
Step-by-step explanation:
Explanation:-
Given that f(x) = 4x + 12
let y = 4 x + 12
4 x = y - 12
\(x = \frac{y-12}{4}\)
\(x = \frac{1}{4} y - 3\)
we know that y = f(x)
⇒ x = f⁻¹(y)
\((f^{-1} y) = \frac{1}{4} y - 3\)
Put replace 'y' in 'x'
\((f^{-1} x) = \frac{1}{4} x - 3\)
Final answer:-
The inverse of a given function
\(g(x) = \frac{1}{4} x - 3\)
Answer:
D
Step-by-step explanation:
Right on edge
The probability of each two occurring given that event he has happened is called wha
Answer:
Conditional Probability
Step-by-step explanation:
Conditional probability refers to the chances that some outcome occurs given that another event has also occurred. It is often stated as the probability of B given A and is written as P(B|A), where the probability of B depends on that of A happening
(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified
The simplified form of the expression is \(-32\).
To simplify the expression, we can perform the calculations written below step by step:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)
We follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify within parentheses:
\(\(4+6 = 10\)\).
Step 2: Perform multiplications and divisions from left to right:
\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).
Step 3: Evaluate the remaining additions and subtractions:
\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).
Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)
When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.
Finally, review the simplified expression to ensure accuracy and validity within the given context.
Note: The complete question is:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.
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13. In a recent Barangay election, Mr. Reyes won as Barangay Chairman with 3,074
votes. If there are 5,800 voters in the barangay, what percentage voted for Mr.
Reyes?
A) 12%
B) 47%
C) 53%
D) 88%
Answer:
53%
Step-by-step explanation:
Total voters = 5,800
5,800= 100%
3,074=X
X=3,074*100/5,800= 53%