The numbers added together resulted in 8419.
What is addition?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as an addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
To find the addition of all 177 numbers.
First, we arrange in ascending terms, we get,
16, 17, 18, 19, 22, 23, 24, 24, 25, 25, 25, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 28, 29, 29, 29, 30, 30, 30, 31, 31, 31, 32, 34, 35, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 39, 39, 40, 40, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 44, 45, 45, 45, 46, 46, 46, 47, 47, 47, 48, 48, 48, 48, 48, 48, 49, 49, 49, 49, 50, 50, 51, 51, 51, 51, 52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 55, 55, 57, 60, 61, 61, 61, 61, 62, 62, 62, 62, 62, 63, 64, 64, 65, 65, 65, 67, 67, 68, 68, 68, 70, 70, 71, 72, 72, 73, 74, 75, 75, 75, 76, 78, 80, 82, 84, 85, 86, 89, 91, 93, 102, 104, 124.
Therefore, the sum is 8419.
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The question 'what is 48 35 26 31 27 52 55 63... added all together?' is asking for the sum of all the provided numbers. This can be calculated with a calculator or by manual addition. Be aware it may take time due to the large number of values.
Explanation:To answer the question, 'what is 48 35 26 31 27 52 55 63 18 74 35 61 28 42 76 35 38 64 71 26 53 65 47 41 102 38 35 84 41 26 73 62 35 39 62 49 104 62 54 19 28 64 36 39 53 89 26 53 43 75 35 39 29 26 45 39 31 30 70 42 37 54 85 42 36 91 25 28 53 65 78 42 68 44 41 50 46 48 75 29 53 72 17 28 38 30 48 43 27 46 36 48 62 31 42 48 61 22 124 27 53 86 60 47 41 37 27 36 45 80 45 70 53 25 29 16 30 36 38 42 48 51 38 39 43 61 75 38 42 55 72 39 28 51 43 49 67 25 37 39 46 41 50 93 53 82 47 36 38 51 42 40 24 68 38 36 34 49 65 68 62 53 67 23 51 40 43 49 57 61 26 54 35 32 38 39 24 added all together?', you would have to add up all the numbers provided. Calculating this would involve simply adding the given values together. To get the answer, you can use a calculator or manually add each number, but it may take a bit of time due to the large number of values given.
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x y
-2 -1
-1 0
0 1
1 2
2 3
Without graphing, what is the x-intercept of this function?
Answer:
(- 1, 0)
Step-by-step explanation:
The x- intercept is where the function crosses the x- axis.
The y- coordinate of any point on the x- axis is zero, hence
The point (- 1, 0 ) is the x- intercept
Answer:(-1,0)
Step-by-step explanation:
Help answer and explain #7 #8 #9 YOU HAVE TO DO THE STEPS OF HOW u got it.
Answer:
For Answer 7 its the first one (x + 6) • (x - 7)
Step-by-step explanation:
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-x-42
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -42
Step-1 : Multiply the coefficient of the first term by the constant 1 • -42 = -42
Step-2 : Find two factors of -42 whose sum equals the coefficient of the middle term, which is -1 .
-42 + 1 = -41
-21 + 2 = -19
-14 + 3 = -11
-7 + 6 = -1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 6
x2 - 7x + 6x - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
6 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x+6) • (x-7)
Which is the desired factorization
Final result :
(x + 6) • (x - 7)
A fountain is located between two trees. Each tree has a height of 60 feet. The angles of elevation from the
base of the fountain to the top of each tree are 64° and 48° as shown below.
What is the horizontal distance between the two trees (rounded to the nearest foot)
A 40
B 837
C 147
D 190 ft
The answer is:
The correct option is:
B) 83 feet
Why?To solve the problem, we need to use the following trigonometric identity:
[tex]Tan(\alpha)=\frac{Opposite}{Adjacent}[/tex]
Which, translated to our problem, will be:
[tex]Tan(\alpha)=\frac{Height}{Base}[/tex]
We are given two triangles, and we know their height and their angles between their hypothenuse and their bases.
So,
For the first triangle, we have:
[tex]height=60ft\\\alpha=64\°[/tex]
So, using the trigometric identity of the tangent, we have:
[tex]Tan(\alpha)=\frac{Height}{Base}\\\\Tan(64\°)=\frac{60ft}{Base}\\\\Base=\frac{60ft}{Tan(64\°)}=\frac{60ft}{2.05}=29.27ft[/tex]
Therefore, we have that the base of the first triangle is equal to 29.27 feet.
For the second triangle, we have:
[tex]height=60ft\\\alpha=48\°[/tex]
So, using the trigometric identity of the tangent, we have:
[tex]Tan(\alpha)=\frac{Height}{Base}\\\\Tan(48\°)=\frac{60ft}{Base}\\\\Base=\frac{60ft}{Tan(48\°)}=\frac{60ft}{1.11}=54.05ft[/tex]
Therefore, we have that the base of the second triangle is equal to 54.05 feet.
Now, to calculate the horizontal distance between the two trees (x), we need to use the following formula with the obtained values of both triangles:
[tex]HorizontalDistance=FirstTriangleBase+SecondTriangleBase\\\\HorizontalDistance=29.27ft+54.05=83.29ft[/tex]
Hence, we have that the distance between the two trees rounded to the nearest foot is 83 feet.
Have a nice day!
What is the y intercept of the parabola y = x2 + 8x + 6
6
The formula for a quadratic equation (parabola) is y = ax^2 + bx + c, and c is the y-intercept. Following this, the y-intercept of this parabola is 6.
Two people share £350 in the ratio 1 : 6.
Calculate each share.
Answer:
£50 and £300
Step-by-step explanation:
Sum the parts of the ratio 1 + 6 = 7 parts
Divide the amount by 7 to find the value of one part of the ratio
£350 ÷ 7 = £50 ← value of 1 part of ratio
Hence
1 person receives £50
the other person receives 6 × £50 = £300
To find the two shares in the given ratio, divide the total amount by the sum of the ratio. The first share is 1/7 of the total, while the second share is 6/7 of the total.
Explanation:To find the two shares, we need to divide £350 into two parts using the ratio 1:6. To do this, we must first understand that the ratio sum is 1+6=7. The first share is 1/7 of the total amount, calculated as (1/7)*£350 = £50. The second share is 6/7 of the total amount, calculated as (6/7)*£350 = £300.
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Please find the value of the expression below.
Answer:
35
Step-by-step explanation:
Note that the absolute value always produces a positive result
Given
| a² - 2ac + 5c | ← substitute in given values
= | (- 3)² - 2(- 3 × - 4) + (5 × - 4) |
= | 9 - 24 - 20 | = | - 35 | = 35
They give you the equation:
[tex]|a^{2} - 2ac + 5c|[/tex]
We know that:
a = -3
b = 2
c = -4
You can replace the variables with their corresponding values like this:
[tex]|(-3)^{2} -2(-3)(-4) + 5(-4)|[/tex]
You can then go on and do PEMDAS to solve this:
First the exponents:
[tex]-3^{2} = 9[/tex]
[tex]|9 -2(-3)(-4) + 5(-4)|[/tex]
Then you can multiply all that needs to be multiplied together from left to right:
[tex](-2)(-3)(-4) = (6)(-4) = -24[/tex]
[tex]|9 - 24 + 5(-4)|[/tex]
[tex](5)(-4) = -20[/tex]
[tex]|9 - 24 + (-20)|[/tex]
[tex]|9 - 24 -20|[/tex]
Now from left to right subtract:
9 - 24 = -15
[tex]|-15 -20|[/tex]
-15 - 20 = -35
[tex]|-35|[/tex]
^^^The | | mean to take the absolute value of the number. In other words make it positive
So the answer to this is 35
Hope this helped!
How many sides does a quadrilateral have
A quadrilateral has four sides
Answer:
A quadrilateral has four sides.
Example:
The following figures are quadrilaterals and have 4 sides.
The results of joes survey show that baseball is the favorite sport for 18 out of 25 people. What percent do not like sports?
well if 18 out of 25 like it, then the remaining 7 doesn't like it, namely 7 out of 25.
if we take 25 to be the 100%, what is 7 off of if in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 25&100\\ 7&x \end{array}\implies \cfrac{25}{7}=\cfrac{100}{x}\implies 25x=700\implies x=\cfrac{700}{25}\implies x=28[/tex]
Surface area of a cylinder with a radius and height of 1.5 m
Answer:
28.27
Step-by-step explanation:
Answer:
The surface area of cylinder = 28.26 m²
Step-by-step explanation:
Points to remember
Surface area of cylinder = 2πr(r + h)
Where r - Radius of cylinder and
h - Height of cylinder
To find the surface area of given cylinder
Here r = 1.5 m and h = 1.5 m
Surface area = 2πr(r + h)
= 2 * 3.14 * 1.5(1.5 + 1.5)
= 2 * 3.14 * 1.5 * 3
= 28.26 m²
Therefore the surface area of cylinder = 28.26 m²
Label all of the parts of the circle
Answer:
The dot is the center
the long line is the diameter
the circle is the circumference
the half way line is the radius
The parts of a circle include the center, radius, diameter, chord, arc, sector, segment, and circumference.
Explanation:The circle is divided into several parts: center, radius, diameter, chord, arc, sector, segment, and circumference.The center is the point in the middle of the circle, denoted by the letter C.A radius is the distance from the center of the circle to any point on its circumference. It is denoted by the letter r.The diameter is a chord that passes through the center of the circle and is twice the length of the radius. It is denoted by the letter d.A chord is a line segment that connects two points on the circumference of the circle. It does not necessarily pass through the center.An arc is a part of the circumference of the circle.A sector is the region between an arc and two radii.A segment is the region between an arc and a chord.The circumference is the distance around the circle. It can be calculated using the formula C = 2πr, where π is approximately 3.14.
what is the solution to the system of equations represented by these two lines ?!!
The solution is the point where the two lines intersect, so it is (3,1)
Given f(x) = 3x - 1 and 9(x) = 2x-3, for which value of x does g(x)=f(2)?
Answer:
g(x) = f(2) at x = 4
Step-by-step explanation:
Assuming that you meant g(x) = 2x - 3:
Set f(2) = g(x) and solve the resulting equation for x:
f(2) = 3(2) - 1 = g(x) = 2x - 3.
Thus, 6 - 1 = 2x - 3.
Adding 3 to both sides and simplifying the result, we get:
8 = 2x, or x = 4.
g(x) = f(2) at x = 4.
The pine scrub rail trial is 72 miles long. if the willy-nilly bike club rides 18 miles per day, how many days will it take them to ride from one end of the trail to the other?
It would take the willy-nilly bike club 4 days to ride from one end of the trail to the other
By dividing the total distance of the trail (72 miles) by the distance the bike club covers each day (18 miles), we find it would take 4 days for the Willy-Nilly Bike Club to ride from one end of the Pine Scrub Rail Trial to the other.
Explanation:To find out how many days it will take the Willy-Nilly Bike Club to ride the entire Pine Scrub Rail Trial, we will use division. This kind of mathematical problem is a practical application of division in real-life scenarios.”
The total length of the trail is 72 miles. If they cover 18 miles each day, we can divide the total miles by the miles they ride each day.
So, 72 ÷ 18 = 4 days.
Therefore, it will take the Willy-Nilly Bike Club 4 days to ride from one end of the trail to the other, assuming they ride 18 miles every day without taking any breaks.
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What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?
Hello!
Answer: (-6,8)
A coordinate graph might help.
Hope I helped in time!
Good luck!
~ Destiny ^_^
Answer:
the answer is b (-6,8)
Step-by-step explanation:
In the year 2000 the population of Mexico was about 100 million, and it was growing by 1.53% per year. At this growth rate, the function f(x) = 100(1.0153)^x gives the population, in millions, x years after 2000. Using this model, in what year would the population reach 118 million? Round your answer to the nearest year.
Answer:
11 years
Step-by-step explanation:
Set the function f(x) = 100(1.0153)^x = to 118 and solve for x:
100(1.0153)^x = 118
Taking the natural logarithm of both sides, we get:
ln 100 + x ln 1.0153 = ln 118
Then x ln 1.0153 = ln 118 - ln 100, or
= 4.7707 - 4.6052
... which leads to:
4.7707 - 4.6052
x = --------------------------- = 11 years (rounded up from 10.888 )
0.0152
Answer:
11 years
Step-by-step explanation:
What is the equation of a circle with center (3, 8) and radius 2?
Answer:
(x - 3)² + (y - 8)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (3, 8) and r = 2
(x - 3)² + (y - 8)² = 4 ← equation of circle
The equation of a circle with center (3, 8) and radius 2 will be given as
[tex]( x -3 )^2 + ( y -8 )^2 = 4[/tex].
Equation of circle is given as,
[tex]( x -a )^2 + ( y -b )^2 = r^2[/tex]
where,
(a,b) are the coordinates of the center of the circle in form (x, y),
r is the radius of the circle.
Now, the equation of a circle with center (3, 8) and radius 2.
Given to us,
a = 3,
b = 8,
r = 2.
substituting the values,
[tex]( x -a )^2 + ( y -b )^2 = r^2[/tex]
[tex]( x -3 )^2 + ( y -8 )^2 = 2^2[/tex]
[tex]( x -3 )^2 + ( y -8 )^2 = 4[/tex]
Hence, the equation of a circle with center (3, 8) and radius 2 will be given as [tex]( x -3 )^2 + ( y -8 )^2 = 4[/tex].
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Urgent! Please answer using the screenshot below!!
Answer:
h = 12 units
Step-by-step explanation:
Area of a Parallelogram = base × perpendicular height (A = b × h)
In the diagram above we can obtain the following:
Area = 72 units² perpendicular height = h base = 6(Please Note: the base of a parallelogram must be perpendicular to its height; in this case it is the side measuring 6 units that is perpendicular to the height)
Since A = b × h
⇒ A ÷ b = b ÷ b × h (dividing both sides by b)
⇒ h = A ÷ b (making h the subject of the eq'n)
thus h = 72 unit² ÷ 6 units
= 12 units
what is the value of x
The value of x is 114 degrees.
X is a vertical angle with the given angle of 114.
This means X is also 114 degrees.
Need help with financial algebra
Answer: [tex]c(x) =\left \{ {{18\qquad 0<x\leq 3} \atop {6.5x+18\quad x>3}} \right.[/tex]
Step-by-step explanation:
The first equation is c(x) = 18 when x is between 0 and 3 (including 3).
The second equation is c(x) = 6.5x + 18 when x is greater than 3
Which polynomial is in standard form.
Answer:
4- [tex]7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2[/tex]
Step-by-step explanation:
In a standard polynomial degree drops from left to right
so , option 4 is correct.
[tex]7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2[/tex]
Someone plz help with this
Answer:
the answer is: [tex]5y^6 \sqrt{2}[/tex]
Step-by-step explanation:
We need to solve the equation:
[tex]\sqrt{50y^{12}}[/tex]
We know 50 = 2*5*5
2*5*5 can be written as: 2* 5^2
and √ = 1/2
Solving:
[tex]=\sqrt{2*5*5*y^{12}}\\= \sqrt{2*5^2*y^{12}}\\=(2)^{1/2}*(5^2)^{1/2}*y^{12}^{1/2}\\=(2)^{1/2}*5*y^6\\=5y^6 \sqrt{2}[/tex]
So, the answer is: [tex]5y^6 \sqrt{2}[/tex]
HELP ASAP MARKING BRAINLEST
use the diagram to write the standard equation of the circle.
Answer:
your answer is:
(x-2)^2 +(y-2)^2=16
Hope this helps.
Brainliest plz :)
The standard equation of the given circle is (x-2)²+(y-2)²=16. This can be obtained by using the general equation of the circle.
What is the general equation of the circle?The general equation of the circle is,
(x-h)²+(y-k)²=r² , where (h,k) is the center and r is the radius
From the figure we say that (2,2) is the circle and 4 is the radiusBy using the general equation of the circle we can write the standard equation,(x-2)²+(y-2)²=4² ⇒ (x-2)²+(y-2)²=16
Hence the standard equation of the given circle is (x-2)²+(y-2)²=16.
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cody wants to attend the fall festival at school. the price of admission to the festival is $5.50 and each game costs an additional 75 cents . if cody has 15 dollars to spend at the festival, which inequality can be used to solve for g, the number of games that he can play, and what is the maximum number of games he can play?
Cody can play 12 games.
Allison, Brianna, and Celeste went on a hike. Allison brought 9 homemade
cookies and Brianna brought 15 cookies she had made. Celeste forgot to bring
treats, but she had $2.16. Allison and Brianna agreed that if the three were to
share the cookies equally, then the two of them should divide Celeste's money
equitably. Celeste agreed. What was the fair way to divide the money?
I don't get this at all PLEASE HELP!
Answer:
Allison = $0.27
Brianna = $1.89
Step-by-step explanation:
The total cookies that the three girls have are:
Allison's cookies + Brianna's Cookies
= 9+15
=24
There is a total of 24 cookies which has to be divided between the 3.
So
Each girl gets 24/3 = 8 cookies.
Since Celeste had no cookies she will have to pay for the 8 cookies.
Allison had 9, she will give one to Celeste
Brianna had 15 out of which she will use 8 for her self and 7 will be given to Celeste.
Celeste is paying 2.16 for 8 cookies.
Price of one cookie = 2.16/8
=$0.27
So, amount that will be given to Allison = 0.27 * 1 = $0.27
Amount that will be given to Brianna = 0.27 * 7 = $1.89
Each person gets 8 cookies. Allison and Brianna each receive $1.08 of Celeste's $2.16.
To find the fair way to divide Celeste's money, we first need to determine how many cookies each person gets when the total number of cookies is divided equally among them.
Total number of cookies = Allison's cookies + Brianna's cookies
Total number of cookies = 9 cookies + 15 cookies
Total number of cookies = 24 cookies
Now, we'll divide the total number of cookies by the number of people (3) to find out how many cookies each person gets:
Number of cookies per person = Total number of cookies / Number of people
Number of cookies per person = 24 cookies / 3
Number of cookies per person = 8 cookies
So each person will get 8 cookies.
Now, since Celeste forgot to bring treats, Allison and Brianna agreed to divide Celeste's money equally between them. To do this fairly, they'll each receive half of Celeste's money.
Celeste's money = $2.16
Now, we'll find out how much each person gets from Celeste's money:
Amount per person = Celeste's money / Number of people
Amount per person = $2.16 / 2
Amount per person = $1.08
So each person will receive $1.08 from Celeste's money.
In summary:
- Each person will get 8 cookies.
- Each person will receive $1.08 from Celeste's money.
Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.
Answer:
Step-by-step explanation
i believe the answer is 300
100 times 60 cents would be 60.00$
the question states that the white balloons are half off making it 30 cents
300 times 30 is 90.00
90.00 plus 60.00 would be 150.00$
300 white balloons is what he may purchase
He can purchase 300 white balloons.
Wei can purchase 100 blue balloons for $60.00 (100 * $0.60). He has $150.00 - $60.00 = $90.00 left to spend on white balloons. Since the white balloons are on sale for half price, each white balloon costs $0.60 / 2 = $0.30. Therefore, Wei can purchase $90.00 / $0.30 = 300 white balloons. In total, he can purchase 100 blue balloons and 300 white balloons for the garland.
To calculate the number of white balloons Wei can purchase, we first find the total cost of the blue balloons, which is 100 * $0.60 = $60.00. Then, we subtract this from Wei's budget of $150.00 to find the remaining amount for white balloons: $150.00 - $60.00 = $90.00.
Since the white balloons are on sale for half price, each white balloon costs $0.60 / 2 = $0.30. We divide Wei's remaining budget by the cost per white balloon to find how many he can purchase: $90.00 / $0.30 = 300 white balloons.
So, Wei can purchase 100 blue balloons and 300 white balloons for the garland.
Complete question:
Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.
one cook can make enough food for 350 people a night. how many cooks are needed to feed 2,944 a night?
Answer:
9
Step-by-step explanation:
the answer is 8.4 so it might not be rounded up but I figure what about the other people?
9 chefs are needed. you have to divide 2,944 by 350
The exact value of cos(17pi/8) is
[tex]\frac{\sqrt{2 + \sqrt2}}{2}[/tex]
Answer:
Step-by-step explanation:
Note that 17pi/8 can be rewritten as 16pi/8 + 1pi/8. 16pi/8 represents 2 full rotations around the center and can be ignored if we just want the cosine of the angle 17pi/8. We are left then with 1pi/8.
We need to find the cosine of this angle. Note that 1pi/8 is 1/2 of 1pi/4, so this situation calls for use of the half angle formula
1 + cos Ф
cos Ф/2 = √(---------------). Here Ф = π/4, and half that is ω = π/8, and the
2 cosine of π/4 is 1/√2.
1 + 1/√2 √2 + 1 2 + √2
So we get cos pi/8 = √( -------------- ) = √ ------------- = √ ---------------
2 2√2 4
Greatest common factor of 12a and 9a^2
Answer:
3aStep-by-step explanation:
[tex]12a=\bold{(3)}(4)\bold{(a)}\\\\9a^2=\bold{(3)}(3)\bold{(a)}(a)\\\\GCF(12a,\ 9a^2)=\bold{(3)(a)}=3a[/tex]
16.72911 liters rounded to the nearest whole is liters.
Answer:
17 liters
Step-by-step explanation:
0.5 and above will make 1, 0.4 and below makes it the same
I need help! Can anyone help me?! Thanks
Answer:
not sure what you need help on but im guessing:
7 > H, 3r-8