Based on the relationship between Mary's age and that of John, the representation of Mary's age is (X + 5).
How old is Mary?Your question seems incomplete or not worded well so I'll give a more general response.
Mary is said to be older than John by 5 years. This means that however old John gets, Mary will always be older by 5 years.
If John is X years therefore, Mary's age will simply be:
= John's age + Age difference
= X + 5
For instance, if John is 20 years then Mary would be:
= 20 + 5
= 25 years
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23/20 as a mixed number
Answer:
1 3/20
Step-by-step explanation:
23/20
Rewrite
20/20 + 3/20
1 3/20
use order of operations to simplify -5+3(7.2 - 3.2). please help
Answer:
7
Step-by-step explanation:
First solve what is in the parentheses.
-5+3(4)
Multiply 3 by 4.
-5+12
Subtract/add
7
I hope this helps!
Determine whether each of the following is a geometric sequence, arithmetic sequence, or neither.
3, 1, –1, –3, ...
4, 3, –3, –4, …
2, -1, ½,-¼ ...
Answer:
3, 1, –1, –3, ... arithmetic
4, 3, –3, –4, … neither
2, -1, ½,-¼ ... geometric
Step-by-step explanation:
3, 1, –1, –3, ...
We are subtracting 2 from the previous term
This is an arithmetic sequence
4, 3, –3, –4, …
There is no number that we can add to each term to get the next
There is no number that we can multiply to each term to get the next
neither
2, -1, ½,-¼ ...
We can multiply by -1/2 to get the next term
This is a geometric sequence
Finish the following table for the given function with x as the independent variable
Answer:
hi?
Step-by-step explanation:
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
Answer:
35/12
Step-by-step explanation:
Opposite / adjacent
Find the known measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
Answer:
KM = 10.68
K = 55 degrees
M = 35 degrees
Step-by-step explanation:
Firstly, we can use Pythagoras’ theorem to calculate the length of the hypotenuse which is KM
Mathematically, this is the sum of the squares of the two other sides KL and LM according to Pythagoras’ theorem
Thus, we have it that;
KM^2 = KL^2 + LM^2
KM^2 = 6.2^2 + 8.7^2
KM^2 = 114.13
KM = √(114.13)
KM = 10.68
We have two angles to calculate
Let us start with the angle at vertex K
The opposite side to is is the length LM which is 8.7
The adjacent side to it is the length 6.2
Mathematically, the relationship between the two can be calculated using the Tan ; as the Tan of an angle is the ratio of the length of the opposite to that of the adjacent
thus;
Tan K = 8.7/6.2
K = arc Tan (8.7/6.2)
K = 54.5 which is 55 degrees
since we have a right angle , we only have to subtract he measure of angle K from 90 to get the measure of M
M = 90-55 = 35 degrees
k = 5 m = 3 (d) Work out the value of 2k + 4m
Answer:
2k = 10m+4m=3
2k =14m=8.4
The solution of the given equation is 2k + 4m = 32
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We are given the equation as;
2k + 4m
When k = 5
m = 3
Solving ;
2k = 2 (5) = 10
4m = 4(3) = 12
Then 2k + 4m = 10 + 12 = 32
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You deposit $3000 in an account earning 4% interest compounded continuously. How much will you have in
the account in 5 years?
Answer: $3,664.21
Formula: [tex]A=Pe^{rt}[/tex]
P = principle/original amount = $3000r = rate of interest = 4% = 0.04t = time period (in years) = 5A = the new amounte = Euler's number ≈ 2.718...Substitute in the values:
[tex]A=(3000)e^{(0.04)(5)} =(3000)e^{0.2} =(3000)(1.2214)=3664.208[/tex]
Approximately $3,664.21
I think this is how you solve it o_O
Approximately there will be $3,664 in your account in 5 years.
What is compound interest?
The interest on a loan or deposit that is calculated using both the initial principal and the accrued interest from prior periods is known as compound interest.
Simple math may be used to demonstrate this: If you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You will wind up with $110.25 at the conclusion of the second year.
Solution:
Since interest is compounded continuously, we need to find the future value.
A = Pe^rt, where:
P is the initial deposit
r is the rate of interest
t is the time period of deposit
A is the future value
Given,
P = $3000
r = 4%
t = 5 yrs
Therefore, future value(A) = 3000 × e^(0.03)×(5)
= 3664
Hence you will have $3664 in your account approximately.
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Make sure you show all work for full credit.
The Jefferson family went to the movies. Each ticket cost $12.00 and they spent $94.00 on food. If they spent a total of $166.00, how many tickets did they buy?
Answer:
6 Tickets
Step-by-step explanation:
$12.00 = 1 Ticket
$94.00 = Food they bought.
$166.00= Spent total
166-94=72
$72.00= 6 Tickets
Can someone help me with this math homework please!
Answer:
[tex]y=\frac{5}{2} \:x[/tex]
Step-by-step explanation:
A line with the highest absolute value of slope has the steepest graph
from the option, the highest is 5/2 so, y = 5/2 x is your answer.
OAmalOHopeO
Answer:
Y=5/2x
Step-by-step explanation:
The steepest graph is the one with the largest slope (m) this is because slope is rise over run so the larger the slope the steeper the graph. Hope this helps.
Please help out will give brainliest
I think 90° because it looks like a right angle
If this is incorrect forgive forgive me plz
6 of 6
Lena and Ras drive to work.
Lena drives 24 miles in 1.5 hours.
Ras drives 36 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km
km/h
Answer:
3.2 km/h
Step-by-step explanation:
1. Approach
The average speed is the rate at which one travels. It can be found by diving the total distance traveled over the total time it took to cover that distance. In essence, the following formula can be used to find the average speed:
[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]
In this situation, one is asked to find the difference between two people's average speed. One is given the following information:
Lena: 24 miles 1.5 hours
Ras: 36km 1 hour 15 minutes
First, convert all of the numbers into the correct units (km) and (hours). Then find the average speed for each person. Finally, subtract the smaller speed from the larger speed to find the difference in the average speeds.
1. Find Lena's average speed
The problem asks one to find the average speed in the units (km/h). However, the distance Lena covered is given in (miles). Therefore, one has to multiply it by the conversion factor (1.6) in order to convert it from (miles) to (km).
24miles * 1.6 = 38.4
Now find the average speed by using the formula:
[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]
Substitute,
[tex]\frac{38.4}{1.5}\\\\=25.6[/tex]
2. Find Ras's average speed
Use a similar approach to work out Ras's average speed, as was used to find Lena's average speed. Since Ras's time spent is given in both hours and minutes, one must convert it to just minutes. There are (60) minutes in an hour, thus, one can rewrite the number as the following:
[tex]1\ hour \ \ 15\ minutes= 1 \frac{15}{60}\ hours = \frac{75}{60}\ hours[/tex]
Now find the average speed:
[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]
Substitute,
[tex]\frac{36}{\frac{75}{60}}\\\\=28.8[/tex]
3. Find the difference between the speeds
Since Ras's speed is greater, subtract Lena's speed from Ras's speed.
Ras - Lena
= 28.8 - 25.6
= 3.2
Find the measure of one interior angle for the following regular polygon
90°
that is the procedure above
Find the slope of the line
Use the figure below to answer the following question.
Daniela buys records for $9 each
if daniela buys 4 records how much money will she spend?
Money spent( )
Answer:
36
Step-by-step explanation:
9×4=36 so money spent will be 36 dollars
20 POINTS QUICK PLEASE HELP! D:
A rock starts rolling down a slope of measure 0.75. How far (in meters) from its starting point is the Rock when it is 60 meters below its starting point?
Answer:
60 * -.75 = -45 ... 45 meters below starting point
Step-by-step explanation:
Which coordinate pair identifies a point in the third quadrant of the coordinate plane? A) (0, 5) B) (1, −5) C) (1, 5) D) (−1, −2)
(IF YOU USE THIS QUESTION FOR POINTS I WILL REPORT YOU)
(NVM IT'S (-1,-2)
Answer:
Me need my points :D
Step-by-step explanation:
what's the ratio of 16 apple and 48carrots
Answer:
the answer for ratio 16 to 14 = 1:3
Step-by-step explanation:
16:48
8:24
4:12
1:3
please help with this on the images
Answer:
52%
7 more
Step-by-step explanation:
There are 5*5 = 25 boxes in the grid
13 are shaded
13/25 = 13/25 *4/4 = 52/100 = 52% are shaded
We want 80% shaded
80/100
Divide top and bottom by 4
20/25
We need 20 shaded and have 13 shaded
20-13 = 7
We need to shaded 7 more
how many arabs are there in 30 billion?
Answer: 30 billion = 30 arab
Step-by-step explanation:
1 arab = 1 billions 1 billion = 1 arabs30 billion = 30 arab
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answer:
Ellipse
[tex]✔ \: \: : { \sf{ {x}^{2} + {y}^{2} = 1 }}[/tex]
Step-by-step explanation:
[tex]{ \sf{circle : \: {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0}} \\ { \sf{parabola : \: {y}^{2} = 4ax }} \\ { \sf{hyperbola : \: {x}^{2} - {y}^{2} = 1 }}[/tex]
If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?
StartRoot x minus 3 EndRoot greater-than-or-equal-to 0
x minus 3 greater-than-or-equal-to 0
StartRoot x minus 3 EndRoot less-than-or-equal-to 0
x minus 3 less-than-or-equal-to 0
Given:
The function is:
[tex]f(x)=\sqrt{x-3}[/tex]
To find:
The inequality that is used to find the domain of the given function.
Solution:
We have,
[tex]f(x)=\sqrt{x-3}[/tex]
We know that the radical functions are defined for only positive values of radicand.
It means the given function is defined if the value of (x-3) is greater than or equal to 0.
[tex]x-3\geq 0[/tex]
Adding 3 on both sides, we get
[tex]x-3+3\geq 0+3[/tex]
[tex]x\geq 3[/tex]
The inequality [tex]x-3\geq 0[/tex] is used to find the domain of the given function and the domain of the given function is [tex]x\geq 3[/tex].
Therefore, the correct option is B.
The given equation has been solved in the table.
Step1: x/2-7=-7
Step2: x/2-7+7=-7+7
Step3: x/2=0
Step4: 2•x/2=2•0
Step5: x=0
ОА.
step 2
OB
step 3
O c.
step 4
OD
The subtraction property of equality was not applied to solve this equation.
Answer:
D.
Step-by-step explanation:
The subtraction property involves subtracting the same number that is subtracted from one side of the equal sign and also subtracting same from the other side of the equal sign
For example: y + 3 = 2
To apply the subtraction property, subtract 3 from each side. Thus:
y + 3 = 2 - 3
From the given equation solved, the subtraction property was not applied in any of the steps shown.
Answer:D.)The addition property of equality was not applied to solve this equation
Me pueden ayudar? No ouedfooo me siento mal
Answer:
I hope D option write
I hope you help
plz Mark the brain list answer
The fastest and correct answer gets brainiest! Pls don't send file links that open different tabs
Answer:
16/9
Step-by-step explanation:
(4/3) ^2
(4/3) * (4/3)
First the numerators
4*4 = 16
Then the denominators
3*3 = 9
Numerator over denominator
16/9
[tex]\frac{16}{9}[/tex]
Answer:
Solution given:
[tex](\frac{4}{3})^{2}=\frac{4²}{3²}=\frac{16}{9}[/tex]
Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in this example). [infinity] 6 n(n + 3) n = 1
a) convergent
b) divergent
If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
I assume the series is supposed to be
[tex]\displaystyle\sum_{n=1}^\infty \frac6{n(n+3)}[/tex]
The summand can be expanded into partial fractions:
[tex]\dfrac6{n(n+3)}=\dfrac an+\dfrac b{n+3}[/tex]
[tex]\implies 6=a(n+3)+bn=(a+b)n+3a[/tex]
[tex]\implies\begin{cases}a+b=0\\3a=6\end{cases}\implies a=2,b=-2[/tex]
Then the sum is equivalent to
[tex]\displaystyle2\sum_{n=1}^\infty\left(\frac1n-\frac1{n+3}\right)[/tex]
Consider the N-th partial sum of the series:
2[(1 - 1/4) + (1/2 - 1/5) + (1/3 - 1/6) + (1/4 - 1/7) + (1/5 - 1/8) + …
+ (1/(N - 3) - 1/N) + (1/(N - 2) - 1/(N + 1)) + (1/(N - 1) - 1/(N + 2)) + (1/N - 1/(N + 3))]
Each of the negative terms (in bold) will have a positive counterpart (underlined) that cancel, so the N-th partial sum would be
[tex]\displaystyle\sum_{n=1}^N\frac6{n(n+3)} = 2\left(1+\frac12+\frac13-\frac1{N+1}-\frac1{N+2}-\frac1{N+3}\right)[/tex]
As N approaches infinity, the last three terms in the sum converge to 0, so the original sum converges to
[tex]\displaystyle\sum_{n=1}^\infty \frac6{n(n+3)} = 2\left(1+\frac12+\frac13\right) = \boxed{\frac{11}3}[/tex]
answer asap please:)
Answer:
i think it's 52
Step-by-step explanation:
HELPASAP
A circle with an arc length of ____ centimeters is intercepted by a central angle of 3pi/4 radians has a radius of ____ centimeters.
1st Blank Options: 12pi, 4pi, 2pi
2nd Blank Options: 3, 16, 24
Answer:
add an attachm3nt to make iy clear
Describe the birth and death rates of this population