There are 52 weeks in a year.
Using 50 for the number of weeks in a year is a(n) round.
Rounding is a process which we approximate the known number by just scaling it up or down.
In rounding the numbers less than 5 are scaled to one number less than the given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .
For example if there were 55 or more than weeks in a year we can say there are approximately 60 weeks in a year.
But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.
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give the intersection points of y=x^5 and y=x^7
Step-by-step explanation:
that means both functions deliver the same result for the same x.
therefore
x⁵ = x⁷
one solution is of course, x = 0.
the other(s) we get for x<>0 by dividing both sides by x⁵ :
1 = x²
that means we have 2 more solutions (a quadratic equation has 2 solutions, a cubic equation has 3 solutions,...) :
x = 1
x = -1
so, the intersection points are
for x = 0, we get y = 0⁵ (or 0⁷) = 0
for x = 1, we get y = 1⁵ (or 1⁷) = 1
for x = -1, we get y = (-1)⁵ or (-1)⁷ = -1
(-1, -1)
(0, 0)
(1, 1)
The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).
What is Intersection point?
The intersection point is the point at which the two lines are cuts to each other.
Given that;
The equations are,
⇒ y = x⁵
⇒ y = x⁷
Now, Solve for intersection point as;
The equations are,
⇒ y = x⁵
⇒ y = x⁷
Equate both equation to each other, we get;
⇒ x⁷ = x⁵
Subtract x⁵ both sides , we get;
⇒ x⁷ - x⁵ = x⁵ - x⁵
⇒ x⁷ - x⁵ = 0
⇒ x⁵ (x² - 1) = 0
This gives two conditions;
⇒ x⁵ = 0
or, ⇒ x² - 1 = 0
Solve both the equations as;
⇒ x⁵ = 0
⇒ x = 0
And, x² - 1 = 0
( x - 1 ) (x + 1) = 0
x = 1 or x = -1
Thus, The values of x are 0 , 1 and -1.
So, The intersection points are;
For x = 0; y = x⁵ = 0
For x = 1; y = x⁵ = 1
For x = -1; y = x⁵ = -1
Thus, The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).
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Y=x+2 slope intercept form
Y+3=-1/4x
[tex] \: [/tex]
= m = 1 , b = 1step-by-step explanation
[tex]y = x +2[/tex]
the coefficient is 1[tex]y = 1x + 1[/tex]
identify the slope,since the equation is written in slope-intercept form y=mxb, identify the slope of the line as the coefficient next to the variable x
[tex]y = 1x + 1 \: ,m = 1[/tex]
identify the y-intercept[tex]y = 1x + 1 \: ,m = 1 \: ,b = 1[/tex]
the slope is m=1 and the y-intercept is b=1so the answer to the equation is
[tex] = m = 1,b = 1[/tex]
hope it helps[tex] \: [/tex]
#1
[tex]\\ \sf\longmapsto y=x+2[/tex]
Slope intercept form=y=mx+b
On comapring we get
m=1b=2#2
[tex]\\ \sf\longmapsto y+3=\dfrac{-1}{4}x[/tex]
[tex]\\ \sf\longmapsto y=-\dfrac{1}{4}x-3[/tex]
m=-1/4b=-3Together, Sierra and Gavin earned $5,404. Sierra earned four-sevenths
of the money
5/7 of $5,404 is $3088.
Sierra earned $3088 and Gavin earned $2316
find the slope: x 0 1 2 3 y 4 4 4 4
Answer:
slope is 0
Step-by-step explanation:
it is flat on a graph
During a restaurant promotion, 3 out of every 25 customers receive a $10 coupon to use on their next visit. If there were 150 customers at the restaurant today, what was the total value of the coupons that were given out?
A)$10
B) $18
C) $150
D) $180
Answer:
$180
Step-by-step explanation:
150 ÷ 25 = 6
6×3 = 18
18×10 = 180
The total value of the coupons that were given out is $180.
Correct option is (D).
What is Arithmetic?The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are sometimes included under the umbrella word "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
As per the given data:
3 out of every 25 customers receive a $10 coupon to use on their next visit.
Customers at the restaurant today = 150
For 25 customers = 3 coupons
For (25 × 6 = 150) customers = (3 × 6 = 18) coupons
Total value of the coupons = 18 × 10 = $180
Hence, the total value of the coupons that were given out is $180.
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helpppp me pleaseee
Answer:
C
Step-by-step explanation:
horizontal translation 5 unitss left
Answer:
The Rule for Horizontal Translations:
if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.
Step-by-step explanation:
First, let us look at the parent function f(x) = |x|. The graph of this function looks like the following.
Notice that it is symmetric about the y-axis and looks like a v. Now, that we have the parent function and its graph. Let's look at thow the four transformations happen.
Part I: Horizontal and Vertical Translations
First, we must have a definition of the two types of translations. A vertical translation moves the graph up or down. An example of that would be:
Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. These are the two types of vertical translations.
The other type of translation is a horizontal translation. A horizontal translation moves the graph left or right. An example of this would be:
Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.
Now that we have seen some examples of the these, let's see if we can figure out why these translations happen.
Here is an equation of one of the vertical translations: , which of the graphs do you think it is? If you said the red one, you are correct.
Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.
What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through vertical translations.
Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.
The Rule for Vertical Translations:
if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value.
Here is an equation of one of the horizontal translations: , which of the graphs do you think it is? If you said the red one, you are correct.
Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.
What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through horizontal translations.
Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.
The Rule for Horizontal Translations:
if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.
Hope this helps, have a nice day/night! :D
If it helped, please mark as brainliest!
a = 3, k = 12, z = 6, h = 4
Evaluate the algebraic expression k – a + h.
Answer:
13
Step-by-step explanation:
k = 12
A= 3
H = 4
So 12-3+4 is 13
Answer:
13
Step-by-step explanation:
Plug in the numbers for the variables.
12-3+4
Then solve in order.
12- 3 = 9
9+4 = 13.
Plzzz help me plzzzzzz
Answer:
Circumference of a circle = pi * diameter
[tex]219.8=3.14*d[/tex]
[tex]d=\frac{219.8}{3.14}[/tex]
[tex]d=70[/tex]
Radius = half of diameter
[tex]r=\frac{1}{2} d[/tex]
[tex]r=\frac{1}{2}*70[/tex]
[tex]r=35[/tex]
Area of circle = [tex]\pi r^2[/tex], where r is the radius:
[tex]a=3.14*35^2[/tex]
[tex]a=3846.5[/tex]
If they ran around the track 3 times, they would cover the circumference three times.
[tex]219.8*3=659.4[/tex]
Convert to centimetres:
[tex]659.4*100=65940[/tex]
fill in the blank. what number is next 17,255,3825
Solve:
two fifths plus seven fifteenths equals blank
Question 3 options:
thirteen fifteenths
nine fifteenths
nine twentieths
nine fifths
Answer:
[tex]\frac{13}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{2.3}{5.3}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{6}{15}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{13}{15}[/tex]
this activity, you will practice finding the side lengths and angle measures of various right triangles when given limited Information. Go to the
ght triangle solver e, and complete each step below. This activity will require careful planning of your calculations before you complete them.
sure to think ahead.
.
Generate a new problem for each of the problem types listed in the table. You'll be choosing the unknown (what you're solving for) and the
method to generate the problem. If the problem onscreen does not fit the required type, click the New Problem button until you get a
problem that does fit.
• The program will determine when you've properly constrained a problem and then give you a relevant equation. At this point, review the
information that you're given for the triangle and enter it in the appropriate column. Then enter the correct values into the equation
onscreen by clicking on the correct parts of the triangle.
• Finally, determine your result. Solve for the unknown and enter your solution in the input window provided onscreen. Then paste a
screenshot of your solution in the table.
• Every triangle in this section is a right triangle, so you can assume that one of the angles of each triangle equals 90° as part of your given
information
Answer:
This is the sample answer for plato/edmentum
Step-by-step explanation:
Terry buys an orange for 39p.
He pays with a £1 coin.
How much change does he get?
Give your answer in pence.
Answer:
61p
Step-by-step explanation:
There are 100 pence in 1 pound, so subtract 39 from 100 to get the change.
Difference between 42.4 and 3.74
Answer:
38.66
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
26s+24
Step-by-step explanation:
2(3s+9) +2(10s+3)
6s +18+20s +6
26s +24= perimeter
Geometry problem, Fill in the blanks with the missing angle measures for the triangle shown.
Answer:
A)60°
B)140°
Step-by-step explanation:
Hope it can help you lovelots
#LEARN WITH BRAINLY
if the sum of two consecutive odd number is 12 find them
Answer:
5 and 7
Step-by-step explanation:
Fast and loose: 12 is written as a sum of two odd numbers as 1+11; 3+9; 5+7. The only consecutive pair is 5 and 7
Let's use algebra: let's call 2n+1 the first and 2n+3 the second.
Their sum is 2n+1 +2n+3 = 4n+4 = 12. Thus, n+1=3 and n= 2. It means the 2 numbers are 2x2+1 =5 and 2x2+3 =7
Beth,nina, Juan,Lucy and Abdul love fruit. all of them exept lucy and Nina love mangos. only the girls like watermelon. all of the apart from abdul and beth like papayas. only abdul, juan and nina like pears. only juan and lucy do not like pineapple. everyone wirh an a in their name likes cherries. who likes the largest variety of fruit ?
Answer:
The answer would be Nina
Step-by-step explanation:
beth- likes mangos, watermelon, and pineapple
nina- likes watermelon, papayas, pears, pineapple and cherries
juan- likes mangos, papayas and pears
lucy likes watermelon and papayas
abdul- likes mangos, pears and pineapples
( nina has the most amount of fruit liked between everyone else)
so the answer has to be Nina.
The population density of Peru one year was approximately 23 people per square kilometer. Brazil has a land area of approximately 8. 5 million square kilometers. If Brazil had the same population density as Peru that year, approximately how many people were living in Brazil? 370,000 people 2,700,000 people 31,500,000 people 195,500,000 people.
Answer:
195,500,000 people.
Step-by-step explanation:
8.5 mil times 23 equals 195,500,000
The square of the sum of two numbers is 144 and the sum of their squares is 80. Find the numbers.(Use completing the square method)
Please help me
Answer:
Step-by-step explanation:
(x + y)^2 = 144
x^2 + y^2 = 80
----
x + y = 12 ---> y = 12 - x
x^2 + y^2 = 80
x^2 + (12-x)^2 = 80
2x^2 - 24x + 64 = 0
x^2 - 12x + 32 = 0
x = 4, x = 8
y = 8, y = 4
============================
x + y = -12 ---> y = -12 - x
x^2 + y^2 = 80
x^2 + (-12-x)^2 = 80
2x^2 + 24x + 64 = 0
x^2 + 12x + 32 = 0
x = -4, x = -8
y = -8, y = -4
-------------
One number is + or -4, the other is + or -8,
and the absolute value of the sum is 12.
Answer:
(4,8);(8,4);(-4,-8);(-8,-4)
Step-by-step explanation:
Ok, let's start writing down the two conditions:
[tex]\left \{ {(x+y)^2 = 144} \atop {x^2+y^2=80}} \right.[/tex]
Mumble. The second almost look like a square, if only there was the [tex]2xy[/tex] term. Let's add (and subtract, so we aren't creating something new) term to the second:
[tex](x+y)^2-2xy = 80[/tex] But we know what the first term is, it's 144. Let's replace and do some number tricks to get:[tex]144-2xy=80 \rightarrow 72-xy=40\\72-40=xy \rightarrow xy=32[/tex]
At this point, let' stare at it for a while. You can tell that the system is simmetrical (if you replace x with y you still get a solution). Moreover, x and y have the same sign: it means that if (a,b) is a solution, then also (b,a), (-a,-b) and (-b, -a) are solutions, and since it's a 4th degree system (the degree of a system is the product of the degrees of the single equations, and they're both quadratic) there are no other solution.
Let's find one pair then. We're tasked to find two numbers that sum to [tex]\sqrt{144} = 12[/tex] and whose product is 32. that is, the root of the polynomial
[tex]z^2+12z+32= (z+4)(z+8)[/tex] (or if you can't see the factors right away, bruteforce it with quadratic formula, it's always good practice). That tells us that one of the two is -4, and the other is -8. From what we said above, the solutions are by combining them with plus or minus.
[tex](4,8);(8,4);(-4,-8);(-8,-4)[/tex]
What is the slope of this line?
−15
15
5
−5
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 5 comma 3 end ordered pair
Step-by-step explanation:
if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).
the slope is in a line equation always the factor of x.
anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
so, we are simply going from (0, 2) to (5, 3).
x changes by +5 (from 0 to 5).
y changes by +1 (from 2 to 3).
so, the slope is y/x = 1/5.
Answer:
B. [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Billy Bob just bought a new car his car costs $75,000. how much money will he pay in taxes for the car if the sales tax is 6%?
Answer:
4500
Step-by-step explanation:
5/15 = n/9 someone help me (proportions)
Answer:
n = 3
Step-by-step explanation:
[tex]\frac{5}{15} = \frac{n}{9}[/tex]
Cross multiply
15n = 45
Divide
15n/15 = 45/15
n = 3
Which of the following are not polynomials?
Answer:
A C and D are not polynomial
2. Connor went to the carnival with S22.50. He bought a hot dog and a drink for $3.75, and he wanted to spend
the rest of his money on ride tickets which cost $1.25 each. What is the maximum number of ride tickets that he
can buy?
A. Define the variable.
B. Write tire inequality.
D. Write your conclusion/final answer.
C. Solve for the number of weeks that Keith can
withdraw money from his account.
Answer:
15
Step-by-step explanation:
Convert 232 fluid ounces to gallons (1 gallon = 128 fluid ounces)
232 fluid ounces is equal to 1.8125 gallons.
Answer:
Exact: 1.8125
Rounded Answers:
Nearest Thousandth: 1.813
Nearest Hundredth: 1.81
Nearest Tenth: 1.8
7.
Fit a quadratic function to these three points:
(−1, −11), (0, −3), and (3, −27)
y = −4x^2 − 4x + 3
y = −4x^2 − 4x − 3
y = −4x^2 + 4x − 3
y = 4x^2 − 4x − 3
Answer:
y = −4x^2 + 4x − 3
Step-by-step explanation:
ill give u brainlist :)
This is not urgent, so thank you even if you don’t help.
Answer:
(1/2) and 9/10
Step-by-step explanation:
[tex]\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}[/tex]
Selena and Demi run a gift delivery business. Selena charges a delivery fee that is $18, and she also charges $6 per gift delivered. Demi charges $16, and she also charges $8 per gift delivered. How many gifts have to be delivered before they charge the same amount?
Answer:
1 gift
Step-by-step explanation:
Cost per gift + delivered cost
Selena $6x + $18
Demi $8x + $16
$8x + $16 = $6x + $18
$2x - $16 = $18
$2x = $18 - $16
$2x = $2
x = 1