Answer:
{3, 5, 6, 7}
Step-by-step explanation:
Plug in each number form the domain and solve for f(x). The set of f(x) values is the range.
f(x) = -x + 4
f(-3) = -(-3) + 4 = 7
f(-2) = -(-2) + 4 = 6
f(-1) = -(-1) + 4 = 5
f(1) = -1 + 4 = 3
Range: {3, 5, 6, 7}
What is the smallest positive integer $n$ such that $\frac{n}{n+101}$ is equal to a terminating decimal?
Answer:
n = 24
Step-by-step explanation:
Given the fraction:
[tex]$\frac{n}{n+101}$[/tex]
To find:
Smallest positive integer [tex]$n$[/tex] such that the fraction is equal to a terminating decimal.
Solution:
The rule that a fraction is equal to a terminating decimal states that, the denominator must contain factors of only 2 and 5.
i.e. Denominator must look like [tex]2^m\times 5^n[/tex], only then the fraction will be equal to a terminating decimal.
Now, let us have a look at the denominator, [tex]n+101[/tex]
Let us use hit and trial method to find the value of [tex]n[/tex] as positive integer.
n = 1, denominator becomes 102 = [tex]2 \times 3 \times 17[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 4, denominator becomes 105 = [tex]5 \times 3 \times 7[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 9, denominator becomes 110 = [tex]2 \times 5 \times 11[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 14, denominator becomes 115 = [tex]5 \times 23[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 19, denominator becomes 120 = [tex]5 \times 3 \times 2^3[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 24, denominator becomes 125 = [tex]2^0 \times 5 ^3[/tex] It is of the form [tex]2^m\times 5^n[/tex].
So, the answer is n = 24
What is sin A?.......................
Answer:
0.4706
Step-by-step explanation:
Sin= O/H
opposite= 8
hypotnuse= 17
8÷17 = 0.4706
Answer:
Your required answer is option A.
Step-by-step explanation:
Hey, there!!!
The given figure is Triangle ABC.
where, AB= 17.
BC= 8
AC = 15.
As it is a Right angled triangle, taking angle theta as a refrence angle.
we get,
h = 17
p= 8
b= 15
we know that,
ratio of sin = p/h
or, sin theta = 8/17
Therefore, the value of x is 0.4705882353.
Hope it helps...
Please answer ASAP!
Type your response in the box. Jack and Mia are playing a game with pick-up sticks. Mia places a pile of 100 pick-up sticks on the table. Forty of the sticks are black, and the rest are brown. She randomly splits all the sticks into two piles—one on Jack’s left and one on his right. Mia tells Jack that there are 44 brown pick-up sticks in the pile on his right. Jack looks at the pile of pick-up sticks on his left and estimates that it contains 44 sticks in all. Now Mia blind folds Jack and asks him to choose a stick at random. Jack knows that if he selects a black pick-up stick, Mia will treat him to dinner at his favorite restaurant. If he picks a brown one, then he will treat Mia to dinner at her favorite restaurant. Mia gives Jack three options for selecting:
Choose randomly from the pile on the left.
Choose randomly from the pile on the right.
Push the piles back together and choose randomly from the entire pile.
Which option should Jack choose so that Mia treats him to dinner at his favorite restaurant? Explain your answer.
Answer: Choose randomly from the pile on the left.
Step-by-step explanation: The ratio of brown to black sticks on the left pile is 16:28 and on the right pile is 44:12. Therefore, jack should choose from the left side because there is a higher chance in picking a black stick.
A fruit tray was served at a meeting. During the meeting, 4 out of 10 strawberries were eaten. Which model has a shaded region that represents the amount of strawberries eaten during the meeting?
Answer:
4 of the berries will be shaded
Step-by-step explanation:
The model that shows that 4 out of 10 strawberries were eaten is attached.
What is a expression? What is a mathematical equation? What is a fraction?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A fraction represents a part of a whole or, more generally, any number of equal parts. A fraction is written as - {x/y}, where [x] is numerator and [y] is denominator.We have, 4 out of 10 strawberries were eaten in a fruit tray.
Refer to the image attached. This model shows that the 4 out of 10 strawberries were eaten.
Therefore, the model that shows that 4 out of 10 strawberries were eaten is attached.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
SPJ2
0.0000458 as scientific notation
Answer:
4.58 * 10 ^ -5
Step-by-step explanation:
0.0000458
Move the decimal 5 places to the right to get a number between 1 and less than 10
00004.58
That will give us an exponent of -5 ( the negative is because we moved it to the right)
4.58 * 10 ^ -5
━━━━━━━☆☆━━━━━━━
▹ Answer
4.58 * 10⁻⁵
▹ Step-by-Step Explanation
The decimal point is moved 5 times to the left, meaning the scientific notation will be negative. Therefore, the answer is 4.58 * 10⁻⁵.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
9.6km
Step-by-step explanation:
Do 6x1.6 ÷1= 9.6km
Answer:9.6km
Step-by-step explanation: Recall BSM(big-small-multiply),so
1.6km×6
If area of a rhombus is 336 cm and one of its diagonal is 14 cm, find its perimeter.
Answer:
The perimeter of the Rhombus is 100 cm
Step-by-step explanation:
First of all, we will need to find the length of the other diagonal.
let’s call the diagonals p and q
Mathematically, the area of the Rhombus is;
pq/2 = Area of Rhombus.
Let’s call the missing diagonal p
So;
(p * 14)/2 = 336
14p = 672
p = 672/14
p = 48 cm
Now, we can find the perimeter of the Rhombus using these diagonals.
Mathematically;
P = 2 √(p^2 + q^2)
Substituting these values, we have;
P = 2 √(14)^2 + (48^2)
P = 2 √(2500)
P = 2 * 50
P = 100 cm
The perimeter of the rhombus is the sum of its side lengths
The perimeter of the Rhombus is 100 cm
The length of one of its diagonal is given as:
[tex]p= 14[/tex]
And the area is given as:
[tex]A = 336[/tex]
Assume the other diagonal is q.
The area of the rhombus is represented as:
[tex]A = \frac{pq}2[/tex]
So, we have:
[tex]336 = \frac{14q}2[/tex]
This gives
[tex]336 = 7q[/tex]
Divide both sides by 7
[tex]48 = q[/tex]
Rewrite as:
[tex]q = 48[/tex]
The perimeter (P) of the rhombus is calculated as:
[tex]P =2\sqrt{p^2 + q^2[/tex]
So, we have:
[tex]P =2\sqrt{48^2 + 14^2[/tex]
Evaluate the squares
[tex]P =2\sqrt{2500[/tex]
Take positive root of 2500
[tex]P =2 \times 50[/tex]
[tex]P =100[/tex]
Hence, the perimeter of the Rhombus is 100 cm
Read more about areas and perimeters at:
https://brainly.com/question/14137384
How to do this question plz answer my question plz
Answer:
The total distance around the running track is 194.3 m
Step-by-step explanation:
Here, we are interested in calculating the distance around the running track.
We have two semi-circles of diameter 30m and two parallel straight lines of length 50m
Firstly let’s add the parallel straight lines, we have 50 + 50 = 100 m
Now these two semicircles when joined together gives a full circle. And since they are of same diameter, by calculating the circumference of the full circle, we can have the length around the two bends
Mathematically, that would be; πd
The circumference is thus; 22/7 * 30 = 94.29 m
Thus, the length of the running track will be 100 + 94.3m = 194.3m
answer to question 3 please ?
Answer:
Step-by-step explanation:
Equation for the height of a plant is,
h = 0.5d + 4
Function representing he height 'f(x)' of a plant with respect to time 'x' (in days) will be,
f(x) = 0.5x + 4
[By substituting the input values of x we get the output values of 'y' from the given equation]
Table to plot the points on the graph will be,
x 0 1 2 3 4 5 6
f(x) 4 4.5 5 5.5 6 6.5 7
Now plot these points on graph as given in the attachment.
Select the equivalent expression. (8^-5/2^-2)^-4 = ?
Choose 1 answer:
A. 1/8*2^2
B. 2^6/8^9
C. 8^20/2^8
Answer:
C. 8^20/2^8
Step-by-step explanation:
(8^5/2²)^4
8^20/2^8
Show that the 9x^2-24xy+16y^2-12x+16y-12=0 represents a pair of parallel lines .Find the distance between the lines.
First of all u will 9x^2-24xy+16y^2-12×16y-12=0 u will add the 9x^ then u will subtract 2-24
Write a word problem for this equation.
10 lb - w = 3 lb
Answer:
10 people buy slushies and the price of each is lb. They have already spent w on food. How much did they spend on slushies.
Step-by-step explanation:
i need help please :(
Answer:
-(1/3 · 1/3 · 1/3 · 1/3 )
Step-by-step explanation:
-(3)^-4= -1/3 ^4 = -1/81
-(1/3 · 1/3 · 1/3 · 1/3 )= -1/81
Answer:
Answer:
[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]
Step-by-step explanation:
[tex] - {(3)}^{ - 4} = \\ - ( { 3}^{ - 4} )= \\ - (\frac{1}{ {3}^{4} } )[/tex][tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex][tex] = - \frac{1}{81} [/tex]
what is the value of -19- (-18)?
Answer:
-1 is the answer
Step-by-step explanation:
I can't do the explanation of this question
Answer:
-1
Step-by-step explanation:-19 + 18 is basically how it is they end up canceling each other out except for the -1 which is the answer.
Nazri put some nails into a box and the total mass was 4 kg. Hari put some
screws into a similar box and the total mass was 10 kg. The screws were 3 times
as heavy as the nails.
(a) What was the mass of the nails?
(b) What was the mass of the box?
In 5 hours a small plane can travel downwind for 4000 kilometers
or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.
write as an equation
Answer:
the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
Step-by-step explanation:
Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so
5(V - v) = 4000
V - v = 800 (1)
For upwind movement, since the plane travels 3000 km in 5 hours, so
5(V + v) = 3000
V + v = 600 (2)
adding equations (1) and (2), we have
V - v = 800
+
V + v = 600
2V = 1400
V = 1400/2 = 700 km/h
subtracting equations (2) from (1), we have
V - v = 800
-
V + v = 600
-2v = 200
v = -200/2 = -100 km/h
So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
6) By which least number should each of the following numbers be divided to make them perfect squares? b) 45125
45125|5
9025|5
1805|5
361|19
19|19
1
[tex]45125=5^3\cdot 19^2=5^2\cdot 5\cdot19^2[/tex]
It's 5
WikiTongues has
videos of 500 different
languages from around the
world. What percent of the
7,111 total languages
spoken globally
is represented on
WikiTongues?
Hey there! I'm happy to help!
We see that 500 languages is a certain percent of the 7,111 total languages. When working with percent equations, the word "is" means "equals", and "of" usually means "multiplied by" This means that 500 is equal to a certain percent multiplied by 7,111. We can use p to represent this certain percent and create an equation below.
500=7,111p
Let's flip the equation around so the p is on the left side. Variables are usually supposed to be on the left.
7,111p=500
We divide both sides by 7,111.
p=0.0703
As a percent, this is about 7.03%. Therefore, about 7.03% of the total languages spoken globally are represented on WikiTongues.
I hope that this helps! Have a wonderful day! :D
Answer:
7.03 %
Step-by-step explanation:
500 / 7,111 = 0.07031359865
0.07031359865 x 100 = 7.03 %
Use the discriminant to determine the number of real solutions to the equation. 8n^2−7n=−7
Answer: no real solutions
Step-by-step explanation:
8n^2-7n+7=0
a=8, b=-7, c=7
b^2-4ac=(-7)^2-4*8*7=49-224=-175
-175<0
no real solutions
Answer:
Substitute 6 for the variable, n, using parentheses. Then simplify by multiplying 8 and 6. 8(6) = 48. So you have 56 = 48, which is not a true statement. 6 is not a solution to the equation.
Step-by-step explanation:
hope it helps
6x + 7y = 4x + 4y what is x when y is -4 PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y = (-2)(3)x
Step-by-step explanation:
Answer:
x is 6
Step-by-step explanation:
6x -28 = 4x - 16
6x = 4X + 12
2X = 12
X = 6
what is the sum of 1.3 and 5.07
Answer:
The asnwer is 6.37 y
Step-by-step explanation:
You have to add them sum means addition
I hope this helps
x^{2m+n} * x^{n-m} / x^{m+2n}
Answer:
=x
Step-by-step explanation:
Answer:
[tex]\boxed{1}[/tex]
Step-by-step explanation:
[tex]x^{2m+n} * x^{n-m} / x^{m+2n}[/tex]
When bases are same for exponents in division, subtract exponents.
[tex]x^{2m+n} * x^{n-m-(m+2n)}[/tex]
[tex]x^{2m+n} * x^{n-m-m-2n}[/tex]
[tex]x^{2m+n} * x^{-n-2m}[/tex]
When bases are same for exponents in multiplication, add exponents.
[tex]x^{2m+n+-n-2m}[/tex]
[tex]x^{2m+0-2m}[/tex]
[tex]x^0[/tex]
Any base with power or exponent of 0 is 1.
[tex]x^{0}=1[/tex]
th
A sum of Rs. 700 grows by 1/20 of itself every year. At what time would it amout to Rs.1050?
a) 8 years
b) 10 years
c) 12 years d) 15 years
Answer:
b) 10 yearsStep-by-step explanation:
1/20 of 700: 1/20•700 = 35
700 + n•35 = 1050
n•35 = 350
n = 10
Find the sum of the geometric sequence. 1, 1/2,1/4,1/8,1/16
Answer:
31/16
or
1 15/16
Step-by-step explanation:
1/8 = 2/16
1/4 = 4/16
1/2 = 8/16
1 = 16/16
then:
1 + 1/2 + 1/4 + 1/8 + 1/16
= 16/16 + 8/16 + 4/16 + 2/16 + 1/16
=(16+8+4+2+1)/16
= 31/16
31/16 = 16/16 + 15/16 = 1 + 15/16 = 1 15/16
Solve for x. 7^8 = 7^8 * 7^x
Answer:
x=0
Step-by-step explanation:
Lemma 1: 1a=a
Holds true for any real number a.
7^0=1
x=0
please help!! due soon!
Use the graph to complete the statement. O is the origin. T ο r(180°,O) : (4,2)
A. (-5, 0) B. (3, 4) C. (-3, -4) D. ( -4, -2)
Answer: D. (-4, -2)
Step-by-step explanation:
Rotating 180° about the origin means the signs for the x- and y-values are opposite.
(x, y) → (-x, -y)
(4, 2) → (-4, -2)
The coordinate after 180° of rotation will be (-4, -2). Then the correct option is D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The line is y = mx, then the point (4, 2).
The point (4, 2) is in the first quadrat.
The line is rotated by 180° about the origin.
Then the coordinate will lies in the third quadrant.
Then the value of the abscissa and ordinate will be transformed into negative.
Then the coordinate after 180° of rotation will be (-4, -2).
Then the correct option is D.
More about the transformation of a point link is given below.
https://brainly.com/question/27224339
#SPJ5
In an experiment you are to flip a two sided coin 100 times and record 55 heads up and 45 tails up. Determine the theoretical and experimental probability of getting a heads up in the experiment.
theorical = 11/20, experimental = 11/20
theorical = 1/2, experimental = 1/2
theorical = 1/2, experimental = 11/20
theorical = 11/20, experimental = 1/2
Answer: The answer is C.
Step-by-step explanation:
Because in the theory of the outcome is a 50/50 chance landing heads or tails. So, the theorectical probability is 1/2. Now the experimental must be 11/20.
Answer:
theory=1/2, experimental=11/20
Step-by-step explanation:
so when talking about theoretical probability you only consider the only possible outcomes which are either head or tail and since you haven't carried out any sort of experiment yet (many flips) you consider the number of outcomes of tossed once since it's theory which are two therefore the probability of each will be 1/2
but in experimental probability you now consider the number of times tossed and the outcomes of each side which is this case of heads will be 55/100 but in the answers they have simplified so it will be 11/20
Pls help Q16 thx guys
Answer:
35°
Step-by-step explanation:
Extending line BC to point E on line AD
angle CED = 20° + 95°= 115°
ang|BCD|= ang|CED| + y
150°=115° + y
y= 150° - 115°
y= 35°
Answer:
y = 35°°
Step-by-step explanation:
∠BCD = 360 - 150 = 210°
Sum of angles of quadrilateral = 360°
210 + 20 + 95 + y = 360
325 +y = 360
Subtract 325 form both sides
y = 360 - 325
y =35°
it’s either A or B but idk, i’ll give brainliest :)
Answer:
Actually it's A.
Step-by-step explanation:
A graph of a system of equation with different slopes will have no solution ?
Answer:
Step-by-step explanation:
If we are talking slopes, we are talking linear equations, since lines are the only functions with slopes. If the slopes are the same, the lines will be parallel, and that is where we have a case of no solution because parallel lines will never intersect. NEVER EVER. If the slopes are different, eventually the lines will intersect somewhere.
Answer:
Step-by-step explanation:
False. A system with different slopes is actually most likely to have a solution.
