Answer
5.0/5
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Given:
The number is .
To find:
The correct values for each blank.
Solution:
The given number is .
We know that, 10 lies between two consecutive perfect squares 9 and 16, . repeating is located between the square roots of these two numbers.
This means repeating is located between 3 and 4.
So, repeating is less than 5.
Therefore, Blank-1=9, Blank-2=16, Blank-3=3 and Blank-4=4.
The number √10 is less than 5.
Because 10 lies between two consecutive perfect squares 3 and 4.
What is square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The number is √10.
Now,
The value of √10 = 3.16
Which is less than 5.
Hence, 3.16 < 5
Since, The value of 3² = 9
And, The value of 4² = 16
Thus,
3² < 10 < 4²
So, The number √10 is less than 5.
Because 10 lies between two consecutive perfect squares 3 and 4.
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The function 1=21.55 cos m-7 +43.75models the average high temperature in degrees Fahrenheit each month b throughout the year in Anchorage, Alaska, where m 1 for January and m 12 for December. Approximate y how many nmonths is the average high temperature above freezing (32 F)?
Answer:
8
Step-by-step explanation:
The number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
What is a function?A function is defined as a relation between a set of inputs having one output each. It is a set of permissible outputs with the property that each input is related to exactly one output.
For the given situation,
The function is [tex]t=21.55 cos(\frac{\pi }{6}(m-7) )+43.75[/tex]
The temperature for months are calculated using the function t.
Here m = 1 refers January,
m = 2 refers February and so on.
Now substitute m = 1 for January,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-6) )+43.75[/tex]
⇒ [tex]t=22.2[/tex]
For February m = 2,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-5) )+43.75[/tex]
⇒ [tex]t=25.08[/tex]
For march m = 3,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-4) )+43.75[/tex]
⇒ [tex]t=32.9[/tex]
For April m = 4,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For May m = 5,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For June m = 6,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(6-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For July m = 7,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(7-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(0) )+43.75[/tex]
⇒ [tex]t=65.3[/tex]
For August m = 8,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(8-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For September m = 9,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(9-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For October m = 10,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(10-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For November m = 11,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(11-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4) )+43.75[/tex]
⇒ [tex]t=32.975[/tex]
For December m = 12,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(12-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5) )+43.75[/tex]
⇒ [tex]t=25.087[/tex]
Thus from the above temperatures of each month, the temperature for three months are less than 32°F.
Hence we can conclude that the number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
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Help pls
10 - 3x = 22
Answer:
its 7
Step-by-step explanation:
Please help i will give you brainlest
Answer:
8 the answer is 8 if u need help just tell me cuz i just did this quiz and i got a 90 and i dont think urs is diffrent then mine
Step-by-step explanation:
If x + y = 13 and y = 2, then which of the following is true according to the
substitution property?
OA) 2 + y = 13
B) x= 13- y
OC) x+ 2 = 13
OD) y = 13 - x
Answer:
b
Step-by-step explanation:
Can you answer 10,11,12,13 for mee please I need ASAP !!!
Answer:
10. Is 31/4 times 1/3 =31/12 or 2 7/12
11.3/8 times 2/3=1/4 but final answer is 1/16
12. 1/2 times -5/-8 = 15/16
13. 1/3 times 11/16 =11/48
Step-by-step explanation:
How to you post a picture of a graph
what is 8+4*5+5-9+2+45-12+95463/8+34/2=?
Answer:
12008.875
Step-by-step explanation:
y = a(x - 2)(x + 4)
In the quadratic equation above, a is a nonzero
constant. The graph of the equation in the wy-plane
is a parabola with vertex (c,d). Which of the
following is equal to d ?
A) -9a
B) -8a
C) -5a
D) -24
Answer:
D
Step-by-step explanation:
It just is
What do I do on this question
Answer:
the ratio is 2:11
Step-by-step explanation:
I already wrote this in a comment, but I'm writing it here because the other person's answer was deleted.
when all the measurements of the ingredients are added together, that makes 11.
according to the recipe, there's 2 cups of mixed nuts.
so the ratio is 2 cups of mixed nuts to 11 cups of granola.
Which statement correctly describes the relationship between the graph of f(x) and the graph ofg(x)=f(x)−1 ?
A.The graph ofg(x)is the graph of f(x) translated 1 unit right.
B.The graph of g(x)is the graph of f(x) translated 1 unit left.
C.The graph ofg(x)is the graph of f(x) translated 1 unit down.
D.The graph ofg(x)is the graph of f(x) translated 1 unit up.
Answer:
Your answer is going to be c The graph ofg(x)is the graph of f(x) translated 1 unit down.
Step-by-step explanation:
I just took the k12 4.08 quiz
The graph of g(x)is the graph of f(x) translated 1 unit down. Therefore, option C is the correct answer.
We need to find the relationship between the graph of f(x) and the graph of g(x)=f(x)−1.
What is the translation?A translation moves a shape up, down or from side to side but it does not change its appearance in any other way.
Translation Rules:
When the shape is moved towards the left by k units, then replace x with x - k.When the shape is moved towards the right by k units, then replace x with x + k.When the shape is moved up by k units, then replace y with y + k.When the shape is moved down by k units, then replace y with y - k.From the translation rule, g(x)=f(x)−1 is f(x) translated 1 unit down.
The graph of g(x)is the graph of f(x) translated 1 unit down. Therefore, option C is the correct answer.
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HELP ASAP!
Imagine two lines intersect how can the properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines explain
Because vertical angles always equal each other. linear pairs always equals 180 degrees always. hope this helps :)
at is the equation in slope-intercept form for a line that goes through the points (- 2, 16) and (2, - 8)
Answer:
y=-6x+4
Step-by-step explanation:
Fiona is completing the square to solve the polynomial
equation.
What should be her first step?
x2 - 4x + 1 = 0
isolating the constant 1
O adding 4 to both sides of the equation
O isolating the second term, 4x
adding 1 to both sides of the equation
Answer:
isolating the constant 1
Step-by-step explanation:
The first step in solving the equation via completing the square is to isolate the constant.
What is completing the square method?The term completing the square method refers to one of the popular methods of solving quadratic equations that involves the addition of half of the square of the b term to both sides of the equation.
Given that an equation, x²-4x+1 = 0, we need to find the first step to solve this be using completing the square method,
So, according to the definition, we will add first isolate the constant,
Therefore,
x²-4x+1 = 0
x²-4x = -1
Now, we will add 4 to both the side,
x²-4x+4 = -1+4
(x+2)² = 3
x+2 = ±√3
x = √3-2 or x = -√3-2
Hence, the first step in solving the equation via completing the square is to isolate the constant.
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Maria makes $6.00 an hour plus 5% commission for telephone sales. Yesterday, Maria worked 8 hours and had sales of $600.00. How much did Maria make yesterday? Explain your answer.
Answer:
21
Step-by-step explanation:it's 22222222211111211111112211
4 (3q-2) = 4q + 2q
Show your work
Answer:
8/6 or 1 1/3
Step-by-step explanation:
Step 1:
4 ( 3q - 2 ) = 4q + 2q Equation
Step 2:
12q - 8 = 4q + 2q Multiply
Step 3:
12q - 8 = 6q Combine Like Terms
Step 4:
12q = 6q + 8 Add 8 on both sides
Step 5:
6q = 8 Subtract 6q on both sides
Step 6:
q = 8 ÷ 6 Divide
Answer:
q = 8/6 or 1 1/3
Hope This Helps :)
Answer:
Hi there! The answer is q=4/3.
Step-by-step explanation:
First—Distrubute the 4 on each side of 3q-2. You should get 12q-8 on the left side of the equation.
Second— Combine like terms. You should see the 4q+2q obviously. Since they have the same letters, they should be combined Into 6q.
as a result you should have 12q-8 on the left side and 6q on the right side.
Switch 6q’s place with -8. But make sure you change the signs of negative and positives as you switch.
Now you should have 12q-6q=8.
Combine like terms again which will be 12q-6q Which will become 6q.
Now you should have 6q=8. divide 6 to both sides of the equation.
Since 6/6 = 1, there should be no coefficients stuck on the q.
when 8 is divided by 6, you should get 8/6.
WAIT YOU ARE NOT FINISHED YET!! YOU HAVE ONE MORE STEP AND YOU WILL HAVE ANSWER.
simplify 8/6 top and bottom divided by 2 each, then you should have 4/3.
Comment if you are confused!! :)
what is the answer to 2a - 3 = -5?
Answer:
-1
Step-by-step explanation:
get -3 to the other side of the equation. 2a=-2 so a is -1
Which biconditional statement below is true?
Angles are congruent if and only if they are vertical angles.
Angles are congruent if and only if they are vertical angles.
Angles are supplementary if and only if their sum is 180°.
Angles are supplementary if and , only if their sum is 180°.
A number is a whole number if and only if it is a natural number.
A number is a whole number if and only if it is a natural number.
Points are collinear if and only if they are coplanar.
Points are collinear if and only if they are coplanar.
Answer: Angles are supplementary if and only if their sum is 180° is true.
Step-by-step explanation:
Test by making both parts negative: Angles are not supplementary if and only if their sum is not 180° This is also true.
El equivalente a (x +8)(x-8) es:
Answer:
x^2 - 64
Step-by-step explanation:
(x + 8)(x - 8) = x^2 - 8x + 8x - 64 = x^2 - 64
Estimate the product. Then find the exact product.
7.9(10.1)
estimated product = 80, exact product = 7.97
estimated product = 80, exact product = 79.79
estimated product = 80, exact product = 797
estimated product = 80, exact product = 7,979
Answer:
79.79
Step-by-step explanation:
HELP ME PLS ITS DUE SOON
Answer:
B
Step-by-step explanation:
Use compositions to verify that g and g^-1 are in fact inverses.
g(x): 1/x+2
g^-1(x): 1/x - 2
Answer:
as written there, they are not inverses
proof by counter example: since g(1) = 3 , but g^-1(3) = -5/3 != 1
Step-by-step explanation:
g(g^-1(x)) == x if they are indeed inverses
1/(1/x -2) + 2 = x/(1-2x) + 2 != x so, they are not inverses
The difference
between two and a
number, multiplied by
five
i need help putting it into an equation
example:two added to three x
3x+2
Alejandra can husk 8 ears of corn in 24 minutes. At this rate, how many ears of corn can she husk in 33 minutes?
11
17
33
99
Answer: 11
Step-by-step explanation:
it takes 3 mins to do one husk so we divide 33 by 3 =11
I know I takes 3 mins for one because I divided 24 by 8.
Answer:
99
Step-by-step explanation:
cuz
highest to lowest
-0.6 , 0.38, -0.41, 0.09, 0.7
Answer:0.38 0.09 0.7 -0.6 -0.41
Step-by-step explanation:
There are 16 students in a class and 75% of these students passed their test. What number of these students passed their test?
Answer: 12 students passed their test
Answer:
12 students
Step-by-step explanation:
16 x .75 = 12
In June, Clarissa used 115 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?
Answer:
She used an average of (115/30) gigabytes of data per day
Step-by-step explanation:
To get the average data usage per day, we simply divide the total data used by the number of days
Mathematically, that will be
115 gigabytes/ 30 days = 3.83 gigabytes per day
The point (4, 1) is reflected over the line y = –x to create Point B. What are the coordinates of B?
Answer:
(-4,-1) You flip them both and switch the signs.
solve for l:
p = 2(l +w)
Answer:
p=2/1
Step-by-step explanation:
Hope this helps ;)
8. Mr. Phillips has to call a plumber to fix a leaky pipe. The company he calls states
that it will cost him $135 for the replacement parts and $65 an hour for labor. If
his total bill was $362.50, how long did it take the workman to finish the repair?
A food bank sends a truck with 400 pounds of food to each of five local food pantries every week, and receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000 pounds of food on hand at the begining of July , how much will it have six weeks later?
Answer:
6,400
Step-by-step explanation:
The calculation is shown below:-
But before that find the total number of pound in five local bonds
= 400 × 5
= 2,000
Now the amount at six week later is
= Food pounds + 3 × number of pounds + 3 × suplus shipment
= 10,000 + 3 × 2,000 - 3 × 3,200
= 10,000 + 6,000 - 9,600
= 6,400
Therefore according to the given situation the correct answer is 6,400