Answer:
1) 38
2) 160
3) 40
Step-by-step explanation:
Answer:
23, 42, 12
Step-by-step explanation:
Help me compleate the sentance
Answer:half
Step-by-step explanations:
Please check photo below
Answer:
Half :D
Step-by-step explanation:
Also hello brother
Which functions graph is a translation of the graph of f(x)= 3x^2 + 4 seven units down?
A. F(x)= -4x^2 +4
B. F(x)= 10x^2+4
C. F(x)= 3x^2-3
D. F(x)= 3x^2 +11
Answer:
Option C
Step-by-step explanation:
Consider the function f ( x ) = 3x^2 + 4;
[tex]f ( x ) = 3x^2 + 4,\\\\4 = vertex ( y - intercept ),\\\\\\[/tex]
Now if this graph were to be translated 7 units down, considering the function was f ( x ) = 3x^2, the new graph would be f ( x ) = 3x^2 - 7. The same concept is applied to the graph f ( x ) = 3x^2 + 4;
[tex]4 - 7 = - 3,\\f ( x ) = 3x^2 - 3\\\\Solution - Option C[/tex]
* Note that a translation doesn't effect the rate with which the graph changes, it only effect's it's position on the coordinate plane
Hope that helps!
A proportion is an equation stating that two ratios are equivalent.
False
True
Answer:
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions
Therfore it is true
We can multiply all values by the same amount and still have the same ratio.
The given statement is true.
We have given the statement,
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions.
We have to determine whether the statement is true or false.
What is the proportion?Proportion is a mathematical comparison between two numbers.
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions
Therefore it is true.
We can multiply all values by the same amount and still have the same ratio.
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Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibiotic regularly every 12 hours for 10 days. Sophia is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours, about 4.5% of the drug is still in the body. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose (10 points)? When will the total amount of the antibiotic in Sophia’s body be the highest? What is that amount (10 points)? Answer Sophia’s original question: Describe how much of the drug will be in her body at various points over the course of the 10 days (10 points).
Answer:
After 1st Dose:As Sophie has just taken the medicine, the quantity of drug present in her body is 500mg
After 2nd Dose:
Amount left from 1st dose = 4.5/100 × 500 = 22.5mg
Amount of Drug after 2nd dose = Amount left from 1st dose + 2nd dose taken.
Amount of Drug after 2nd dose = 22.5mg + 500mg
Amount of Drug after 2nd dose = 522.5mg
After 3rd Dose:
Amount left from 2nd dose = 4.5/100 × 522.5 = 23.513 mg
Amount of Drug after 3rd dose = Amount left from 2nd dose + 3rd dose taken.
Amount of Drug after 3rd dose = 23.513mg + 500mg
Amount of Drug after 3rd dose = 523.513 mg
After 4rth Dose:
Amount left from 3rd dose = 4.5/100 × 523.513 = 23.558mg
Amount of Drug after 4rth dose = Amount left from 3rd dose + 4rth dose taken.
Amount of Drug after 4rth dose = 23.558mg + 500mg
Amount of Drug after 4rth dose = 523.558 mg
Highest Amount:
The pattern formed above can be written in the form of sum of finite geometric series:
Sₙ = 500 + 500(0.045) +500(0.045)² + ........................500(0.045)ⁿ
Sₙ = 500(1 + 0.045 + 0.045² ........................0.045ⁿ)
Where
Sₙ = Sum till nth term
a = 500
r = 0.045
As Sophia takes medicines 2 times a day, she takes medicine 20 times in 10 days. So substitute n=20 in the formula for the sum of finite geometric series
[tex]S_n=a\frac{(1-r^n)}{1-r}\\S_{20}=500(\frac{1-0.045^{20}}{1-0.045})\\S_{20}=523.5602~\text{mg}[/tex]
Greatest amount of antibiotic present = 523.5602 mg
This amount is almost constant after 3rd dose, so it will occur after every dose after 3rd dose
Drug present in body at different points:
After 1st dose = 500mg
After 2nd dose = 522,5mg
After 3rd dose = 523.513 mg
After the the amount left in the body almost remains constant.
Which means that after each dose, the amount in body is maximum, at the end of the 12 hours, the amount reduces to 4.5%, which reaches almost the same maximum after taking another dose.
y is directly proportional to x.
y= 30
x= 6
a) work out an equation connecting y and x
b) work out the value of y when x=12
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
y ∝ x
So, y = kx -----(1)
Where k is the constant of proportionality
Now, y = 30, x = 6
Putting in (1)
30 = k(6)
Dividing both sides by 6, we get
k = 5
Now, Putting k=5 in (1)
So,
a) The equation connecting x and y is :
y = 5x
b) x = 12, Putting in (1)
y = (5)(12)
y = 60
Answer:
a)y=5x
b)60
Step-by-step explanation:
it just is
what is the nth term rule of the quadratic sequence below /-7, -4, 3, 14, 29, 48, 71
Answer:
nth term = 2n^2 - 3n - 6.
Step-by-step explanation:
n = 1 2 3 4 5 6 7
- 7 -4 3 14 29 48 71
Differences 3 7 11 15 19 23
Differences 4 4 4 4 4
So the first term in the Rule is 2n^2
Subtracting the values of 2n^2 from the original terms:
- 7 -4 3 14 29 48 71
2n^2 2 8 18 32 50 72 98
Subtrct -9 -12 -15 -18 -21 -24 -27
-3 -3 -3 -3 -3 -3
So we have -3n and the last term is -6 because -7 = 2(1)^2 -3 - 6 and the other terms fit this pattern as well.
The nth term rule of the provided quadratic sequence to find the n'th term of the sequence is 2n²-3n-6.
What is quadratic sequence?The quadratic sequence is the series of the numbers in which the rule for the n'th term included an n squared term (n²). The quadratic equation for n can be given as,
[tex]an^2+bn+c[/tex]
Here, (2a) is equal to the second difference, (3a+b) is equal to the first difference and (a+b+c) is equal to the first term.
The sequence given in the problem is
[tex]-7, -4, 3, 14, 29, 48, 71[/tex]
Thus, (a+b+c) is,
[tex]a+b+c=-7[/tex] ......1
The first difference between the sequence is,
[tex]3,7,11,15,19,23[/tex]
Thus, the value of (3a+b) is,
[tex]3a+b=3\\b=3-3a[/tex] ......2
The second difference between the sequence is,
[tex]4,4,4,4,4[/tex]
Thus, the value of 2a is,
[tex]2a=4\\a=\dfrac{4}{2}=2[/tex]
Put this value in equation 2 as,
[tex]b=3-3\times2\\b=-3[/tex]
Put the value of a and b in equation 1 as,
[tex]2-3+c=-7\\c=-7+1\\c=-6[/tex]
Put these values in the above formula as,
[tex]2n^2-3n-6[/tex]
The nth term rule of the provided quadratic sequence to find the n'th term of the sequence is,
[tex]2n^2-3n-6[/tex]
Learn more about the quadratic sequence here;
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A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting an Ace and the coin landing on tails?
Answer:
1/26
Step-by-step explanation:
In a standard pack of cards, there are 52 total cards and 4 aces, two black aces and two red aces.
The probability of selecting an ace is therefore:
4/52 = 1/13
The probability of flipping a coin and it landing on tails is:
1/2
Therefore, the probability of selecting an Ace and the coin landing on tails is:
1/13 * 1/2 = 1/26
Can anyone help me i am really confused
Answer:
125 cm³
Step-by-step explanation:
The volume (V) of a cube = s³ ( s is the length of the sides )
Since the shape is a cube then all sides are congruent, thus
V = 5³ = 5 × 5 × 5 = 25 × 5 = 125 cm³
Answer:
v=l×w×h 5×5×5=125cubedcm
Step-by-step explanation:
you see a cube has an equal length, width and height
1/6 converted to a decimal rounded to 3 dp?
Answer:
0.83?
Step-by-step explanation:
Step-by-step explanation:
1/6 or 1÷6 =
0.1666666r
Identify the recursive formula for the following sequence. 8, 16, 32, 64, ...
Answer:
The recursive formula for the given sequence
[tex]t_{n}= (2)^{n+2}[/tex]
Step-by-step explanation:
Explanation:-
Given sequence is 8 , 16, 32, 64 ,.....
First term is a = 8
common ratio [tex]r = \frac{16}{8} =2[/tex]
[tex]r = \frac{32}{16} =2[/tex]
[tex]r = \frac{64}{32} =2[/tex] and so on..
Given sequence of the common ratio 'r' is equal
The [tex]n^{th}[/tex] term of the sequence
[tex]t_{n} = a r^{n-1}[/tex]
[tex]t_{n}= 8 (2)^{n-1}[/tex]
[tex]t_{n}= (2)^{(3+n-1)}[/tex]
[tex]t_{n}= (2)^{n+2}[/tex]
This is recursive formula for the given sequence
[tex]t_{n}= (2)^{n+2}[/tex]
Verification:-
[tex]t_{n}= (2)^{n+2}[/tex]
put n=1 ⇒ t₁ = 8
put n=2 ⇒ t₂ = 16
put n=3 ⇒ t₃ = 32
put n=4 ⇒ t₄= 64
and so on..
The sequence 8 ,16 , 32 , 64 ....
Pedro predicted that he would sell 128 novels. He actually sold 150 novels. What are the values of a and b in the table below? Percent Error Item Approximate value Exact value Error Absolute error Ratio Percent error Novels 128 150 a b a = Negative StartFraction 22 over 128 EndFraction; b = negative 17.2 percent a = Negative StartFraction 22 over 150 EndFraction; b = negative 14.7 percent a = StartFraction 22 over 150 EndFraction; b = 14.7 percent a = StartFraction 22 over 128 EndFraction; b = 17.2 percent
Answer:
C)
AKA
a= 22/150; b= 14.7%
AKA
a = StartFraction 22 over 150 EndFraction; b = 14.7 percent
__________________________________________________
I am very sorry if this was wrong for you, but it was correct for me.
Brainliest would be apreaciated, but if not thats completley ok.
Sorry I dont have an explaination im not very good at those.
Sorry abt my spelling i know i suck.
And sorry I could not help earlier.
hope it helped :)
Answer: C)
AKA
a= 22/150; b= 14.7%
AKA
a = StartFraction 22 over 150 EndFraction; b = 14.7 percent
What is the nth term rule of the quadratic sequence below -4,1,12,29,52,81,116
Step-by-step explanation:
29-12 is a 17 difference
52-29 is a 23 difference (adding 6 to the number 17)
81-52 is a 29 difference (adding 6 to the number 23)
116-81 is a 35 difference (adding 6 to the number 29)
Answer:
29-12 is a 17 difference
52-29 is a 23 difference (adding 6 to the number 17)
81-52 is a 29 difference (adding 6 to the number 23)
116-81 is a 35 difference (adding 6 to the number 29)
Step-by-step explanation:
Answer this, please. I'm having trouble or I'm just dumb.
Answer:
f(x)=(5+a)/(a-1)
Step-by-step explanation:
input a+2 for x
f(x)=(a+5)/(a-1)
and no ur not dumb u just need practice :D
Answer:
-4 and 1/7 is your answer.
Step-by-step explanation:
substitute 19 for x in the equation.[tex]f(x)=\frac{3}{19+2} -\sqrt{19-3}[/tex]
do the processes.[tex]f(x)=\frac{3}{21} -\sqrt{16}\\f(x)=-\frac{1}{7} -4\\f(x)= -4\frac{1}{7}[/tex]Dan spends 1/5 of his wages on rent and 2/3 on food. If he makes £495 per week how much money does he have left
Answer:
£66
Step-by-step explanation:
1/5 times £495
2/3 times £495
Rent =£99
Food =£330
99+330=429
495-429=£66
I hope that help you and you learned how to do it for next time.
Answer:
£66 Left
Step-by-step explanation:
Total Money = £495
Rent:
=> [tex]\frac{1}{5} * 495[/tex]
=> £99
Food:
=>[tex]\frac{2}{3} * 495[/tex]
=> 2 * 165
=> £330
Left:
=> £495-£99-£330 = £66
What is the answer in these boxes
Answer:
I found that the answer is (5,1)
Step-by-step explanation:
4 times x(5) is 20
3 times y(1) is 3
20 + 3 = 23
bottom equation:
x(5) -- 5y(1) = 0
Write the equation of the function y=6/x translated 5 units to the left and 4 units up
Answer:
f(x)= (6/x+5)+4
Step-by-step explanation:
y/x translated 5 units
y/x+5 then 4 units up y/(x+5) +4
Which of the following are square roots of the number below check all that apply 144
The square root of 144 is ± 12
The correct answer choice is option C.
What is square root?Square root refers to a number which, when squared, yields another number.
For instance, the square root of 4 is ± 2
the square root of 9 is ± 3
the square root of 16 is ± 4
the square root of 25 is ± 5
Therefore, square root of 144 = ±12
that is, (12 × 12) or (-12 × -12)
Read more on square root:
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Complete question:
Which of the following are square roots of the number below check all that apply 144 a. ±14 b. ±44 c. ±12 d. ±41
On the right triangle shown below, calculate the height of the traffic
light. Round your answer to the nearest whole number. Enter the
value without units.
Answer:
x = 14
Step-by-step explanation:
Tan 25 = [tex]\frac{opposite}{adjacent}[/tex]
Where opposite = x, Adjacent = 30 m
=> 0.466 x 30 = x
=> x = 14
Answer:
[tex]\Huge \boxed{\mathrm{14 \ meters}}[/tex]
Step-by-step explanation:
We can use trigonometric functions to solve for the problem.
[tex]\displaystyle \sf tan( \theta )=\frac{opposite \ side}{adjacent \ side}[/tex]
Plug in the values and evaluate.
[tex]\displaystyle \sf tan( 25\° )=\frac{x}{30}[/tex]
Multiply both sides by 30.
[tex]\displaystyle \sf 30 \cdot tan( 25\° )=x[/tex]
[tex]\sf x=13.98922974...[/tex]
The height of the traffic light is 14 meters (rounded to nearest whole number).
IM STUCK ON THIS QUESTION! PLEASE HELP FAST
Answer:
The function has point discontinuity (a hole in fancy terms)
Step-by-step explanation:
If you factor out the top, you will get x(x + 2)(x + 5). You can right away cross out the (x + 5)'s. When you do so, you will create a hole in the graph, because x ≠ 5. Therefore, your answer is the 1st option.
if z (3,-1) is the midpoint of line segment of coordinate x (5,2) and y (a,b) then find the value of a and b. I need it fast if u tell fast I'll mark ur Brainliest. It's a deal
Answer:
the coordinates of y are (1,-4)
Step-by-step explanation:
by using midpoint formula
z(x,y)=([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])
putting the values of coordinates
(3,-1)=[tex]\frac{5+a}{2}[/tex],[tex]\frac{2+b}{2}[/tex]
separating the coordinates
3=[tex]\frac{5+a}{2}[/tex] and -1=[tex]\frac{2+b}{2}[/tex]
3×2=5+a and -1×2=2+b
6=5+a and -2=2+b
6-5=a and -2-2=b
1=a and -4=b
so the actual coordinates of y are (1,-4)
i hope it will help you
Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B? (1 point)
A. {2, 4}
B. {1, 2, 3}
C. {1, 2, 3, 4}
D. {1, 2, 3, 4, 5}
Answer:
{2, 4}.
Step-by-step explanation:
A = {1, 2, 3, 4, 5} and B = {2, 4}.
A ∩ B?
This means intersection or what is in common
A ∩ B = {2, 4}.
WILL GIVE BRAINIEST TO ONLY THE FIRST ANSWER!! Find the sum of the first 150 terms in the sequence 20, 15, 10, 5...
Answer:
-450
Step-by-step explanation:
Say the first number is x to get the idea.
The first 150 terms are 150x - 5 * 150
15x - 750
300 - 750 = -450
can someone help me please? thanks!
Answer:
V = 11/21
Step-by-step explanation:
Formula: V = 4/3πr³
Simply plug in r to find volume
V = 4/3π(1/2)³
V = 0.52381
And we have our answer!
Find the 75th term of the arithmetic sequence -21, -10,1, ...
Answer:
a(75) = 793
Step-by-step explanation:
Arithmetic Explicit Formula: an = a1 + (n-1)d
Step 1: Find equation
d = (1-(-10)) = 11
a1 = -21
an = -21 + 11(n-1)
Step 2: Plug in 75 as n
a(75) = -21 + 11(75-1)
a(75) = 793
And we have our final answer!
AB and BC are tangents. Find x.
Answer:
x=74
Step-by-step explanation:
If two tangent segments are drawn from the same external point, then the segments are equal.
Answer:
As we know that the theorm says that tangents drawn from external points of circle are equal so
AB = BC
X - 24 = 50
x = 50 - 24
x = 26
Hooe it helps u
What is the length of Line segment B C? Round to the nearest tenth. Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 65 degrees. The length of hypotenuse B A is 16 centimeters and the length of B C is x. 6.8 cm 7.5 cm 14.5 cm 17.7 cm
Answer:
14.5 =x
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opposite side/ hypotenuse
sin A = BC / AB
sin 65 = x /16
Multiply each side by 16
16 sin 65 =x
14.50092459 =x
14.5 =x
Answer:
C on edge
Step-by-step explanation:
There is a line that includes the point (6,–10) and has a slope of –9. What is its equation in point-slope form?
Answer:
A slope of zero means a horizontal line (parallel to the x axis). So the line is y=-6, which is the y intercept. There is no x term because y=-6 for all x.
Step-by-step explanation:
Answer: y + 10 = -9(x - 6)
Step-by-step explanation:
Use this formula to solve for point-slope form: y - y1 = m(x - x1)
m would be the slope and the given slope is -9
y1 refers to the given y coordinate and x1 refers to the given x coordinate.
y + 10 = -9(x - 6)
which equation has no solution?
Answer:
Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution.
Step-by-step explanation:
We are looking at two lines.
4(x + 3) + 2x = 6(x +2)
4x + 12 + 2x = 6x + 12
6x + 12 = 6x + 12
These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).
5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 4x = x + 3x + 3
4x + 11 = 4x + 3
Both lines have the same gradient but have a different incline with the y axis. By definition, they are parallel to each other and there fore have zero solutions. Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution, which is the answer we are looking for.
5(x + 3) + x = 4(x +3) + 3
5x + 15 + x = 4x + 12 + 3
6x + 15 = 4x + 15
These are two different lines with exactly one solution.
4 + 6(2 + x) = 2(3x + 8)
4 + 12 + 6x = 6x + 16
6x + 16 = 6x + 16
These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).
the interior angles of a Pentagon are (y+13°),(y+15°),(y+23°),(y+29°), and(y+40°) a.Find the value of y b. Find the value of each interior angles
Answer:
y=84
first : 84+13=97
second : 84+15=99
third : 84+23=107
fourth: 84+29=113
fifth : 84+40 =124
97+99+107+113+124 = 540
Step-by-step explanation:
sum of interior angles of a pentagon=540 degreas
y+13+y+15+y+23+y+29+y+40=540
5y=540-(13+15+23+29+40)
y=84
first : 84+13=97
second : 84+15=99
third : 84+23=107
fourth: 84+29=113
fifth : 84+40 =124
97+99+107+113+124 = 540
how big is New York city
Answer:Land area: 302.6 mi²
Population: 8.399 million
Step-by-step explanation:
New York City can be described as very big and it has actually been ranked as the 24th biggest city in the United States in terms of land area it ...
Answer:
Land area: 783.8 km²
Population: 8.399 million
Step-by-step explanation: