The ordered pair that represents the coordinates of the y-intercept for a function is: (0, 3).
How to Determine the Y-intercept of a Function?If we graph a function, especially a linear function, the line of the function will normally intercept the y-axis. At this point, the x-coordinate is usually zero while the y-coordinate of the point is what we refer to as the y-intercept of the function.
Therefore, the coordinates of the y-intercept for a given function would be expressed as (0, b), where b is the y-coordinate of the point where the line intercepts the y-axis.
An ordered pair of (0, 3), means that the line intercepts the y-axis at y = 3, when x = 0.
Therefore, given the above ordered pairs, the coordinates that represents that of the y-intercept of a function is: (0, 3).
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A ball manufacturer wants to stack three balls, each with an 8-centimeter diameter, in a box that is an equilateral triangular prism. The diagram shows the dimensions of the bases. Will the balls fit in the box? Explain how you know.
Considering the volumes of the ball and of the box, it is found that the balls will not fit into the box.
Volume of the ballThe ball is spherical, with a diameter of 8 inches = radius of 4 inches.
The volume of an sphere of radius r is given by:
V = 4/3πr³.
Hence the volume of each ball is given by:
V = 4/3π x 4³ = 267.4 cm³.
The volume of the three balls is:
V = 3 x 267.4 cm³ = 802.2 cm³.
Volume of the boxThe box is a triangular prism, hence the volume is given by the multiplication of the base area by the height, as follows:
V = Ab x h.
The height of the box is of 9 cm, however we have to find the base area.
From the bisection, at the right side of the triangle, we have that half the side of the equilateral triangle is of 7.8 cm, hence the side length is of:
s = 2 x 7.8 = 15.6 cm.
Hence, bisecting the base triangle to find the height, it will have:
Height h. (side of a right triangle).Side of 7.8 cm (another side of a right triangle).Angle of 30º between them.Then the height can be found as follows:
tan(30º) = h/7.8 (tangent = opposite side/adjacent side)
h = 7.8 x tan(30º)
h = 4.5 cm.
The area of a triangle is half the multiplication of the side length and the height, hence the base area is:
A = 0.5 x 15.6 x 4.5 = 35.1 cm².
Then the volume of the box is:
V = 35.1 x 9 = 315.9 cm³.
The volume of the three balls is of 802.2 cm³ > 315.9 cm³, hence the three balls will not fit into the box.
What is the missing information?The box is missing and is given by the image at the end of the answer.
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Answer:
an inscribed, sides, 4.5,cm , greater, will
a large industrial firm purchases several new word processors at the end of each year, the exact num- ber depending on the frequency of repairs in the previ- ous year. suppose that the number of word processors, x, purchased each year has the following probability distribution:
This firm expects to spend on the new word processor expense of $1855 from the given probability distribution.
What is a probability distribution?
A random variable can have any number of alternative values and likelihoods within a particular range, and a probability distribution would be a statistical function that captures all of these possibilities. This range will be constrained by the minimum and maximum distinct combinations, but the location of the possible value on the probability distribution will rely on a number of other variables. These elements include the mean (median), and standard deviation, of the distribution.Given that the number of word processors, x, purchased each year has the probability distribution.
E(X)=1* (3/10)+2*(2/5)+3*(1/5)=1.7
E(X^2)=1^2(3/10)+2^2(2/5)+3^2(1/5)=3.7
Expense=E(1200x-50x^2)=E(1200x)+E(-50x^2)=1200E(x)-50E(x^2)
So
Expense=1200*1.7-50*3.7=1855
This firm expects to spend on the new word processor expense of $1855 from the given probability distribution.
Complete question: A large industrial firm purchases several new word processors at the end of each year. The exact number of word processors purchased depends on the frequency of the number of repairs in the previous year. Suppose that the number of word processors x that are purchased each year has the following probability distribution:
x 0 1 2 3
f(x) 1/10 3/10 2/5 1/5
The cost of the desired model is $1200 per processor and a discount of 50 X2 dollars is credited towards any purchase. There is also a fixed cost of $600 regardless of the number of processors purchased. How much can this firm expect to spend on new word processors?
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there are 500 people if one table seats 8 people how many tables do you need
question: 1/3x+4=x-2
please help
Answer: x=9
Step-by-step explanation:
this is a math problem that i need help with
Answer:
d = 8 , a₁ = - 6 , a₂ = 2
Step-by-step explanation:
the recursive formula is
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d
where d is the common difference
compare with
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 8
then common difference d = 8
the initial term is the first term, that is a₁ = - 6
then
a₂ = a₁ + d = - 6 + 8 = 2
Adele opens an account with $150 and deposits $35 a month. Kent opens an account with $70 and also
deposits $35 a month. Will they have the same amount in their accounts at any point? If so, in how many
months and how much will be in each account?
Answer:
no there will never have the same amount in their accounts at any point
Step-by-step explanation:
2y+8x=0
use the slope and y intercept form to graph the equation
Answer:
Step-by-step explanation:
2y+8x=0
Converting to y-intercept form:
2y = -8x
y = -4x
So, the slope is -4 and the y-intercept is at (0,0).
AX + 6939 + x4(G.CO.C.10)Solve for xFind the measure of angle A:
The sum of the angles of a triangle always equals 180°, then we can formulate the following expression:
(x + 69)° + (39 + x)° + 90° = 180°
By combining like terms in the above equation, we get:
x + x + 69 + 39 + 90 = 180
2x + 198° = 180°
We can solve for x to get:
2x + 198 - 198 = 180 - 198
2x = 180 - 198
2x = -18
x = -18/2
x = -9
Then, x equals -9.
In order to calculate the measure of angle A, we just have to replace the value of x into the equation 39 + x, then we get:
mmm
Then, the measure of angle A equals 30°.
Solve for x. Write both solutions, separated by
a comma.
3x² + 7x-6=0
Answer:
- 3, 2/3
Step-by-step explanation:
Given:
3·x² + 7·x - 6 = 0
General Equation:
a·x² + b·x + c = 0
a = 3;
b = 7;
c = - 6.
Discriminant:
D = b² - 4·a·c = 7² - 4·3·(-6) = 49 + 72 = 121
√ (D) = √ (121) = 11
Solution:
x₁₂ = ( - b ± √(D) ) / (2·a);
x₁ = ( - 7 - 11 ) / (2·3) = ( - 18) / 6 = -3
x₂ = ( - 7 + 11 ) / (2·3) = 4 / 6 = 2 / 3
Draw a line representing the rise and a line representing the run of the line. State the slope of the line in simplest form.
The slope of the line is 7 x - 8 y + 56 = 0 0r 8 y = 7x - 56
What does it mean by slope of a line ?
The ratio of the difference between the y- and x-coordinates of the two points that make up the line must be calculated. The slope of the line is the value that is obtained. It displays how the line's y-axis climb compares to its x-axis run.
Given : The two points are A( 0, 7 ) and B ( -8 , 0 )
The formula of the slope of the line is
y₂ - y₁ = m ( x₂ - x₁ )
And m = y₂ - y₁ / x₂ - x₁
m = - 7 / - 8 = 7/8
therefore , y - 0 = 7/8 ( x + 8 )
8 y = 7x + 56
7 x - 8 y + 56 = 0
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lütfen acil yapabilir misiniz
Answer:
te mando un feo vida okay
Twice a number increased by 6 is at least 35.
Ahmed spent $ 27 and now has no money left. He had before his purchase.
Answer: $27
Step-by-step explanation:
Your question is unfinished but I'm assuming you want to know how much he had before his purchase.
If he spent $27 and is now broke that means he only had $27 in his wallet before his purchase
During christmas abok store sold 32 books. If the ratio of books to bookmarks sold was 4:1 how many bookmarks did the store sell?
Answer:
8 bookmarks were sold
Step-by-step explanation:
Answer: The answer is 8 not sure how to explain it. Can I get a brainliest plsssssssssssss
word problems QKB
Mr. Olsen's class went to the science museum to see dinosaur fossils. They saw a young
brontosaurus that was 5 feet tall. They also saw an adult brontosaurus that was 15 feet tall.
How many times as tall as the young brontosaurus was the adult brontosaurus?
2+(45+92)63 so how do I solve this
Answer:
8363
Step-by-step explanation:
Solve this using BODMAS (Brackets of Division, Multiplication, Addition, Subtraction)
=> 2 + (45 + 92)63
=> 2 + (137)63
=> 2 + 8361
=> 8363
1.Відомо, що 3< x < 8; −2 < у < 6. Оцініть значення виразу:
A) 2x+y;
Б) x-y.
Відповідь B, вибачте, якщо я помиляюся
5(3x – 2) + 11 = 106
please show work on computer
solve for x
Answer: 7
Step-by-step explanation:
5(3x – 2)= 15x-10
15x-10+11 = 15x+1
15x + 1 = 106 -1
15x = 105 /15
x = 7
____ + _____= 16 + +____ - ______=12 = = 26 16
In the first line, we are going to have that if you put 7 then to have the sum rigth the next space have to be 9, following that idea the space down of the 9 have to be also 7 and the first space on the second line have to be 19. So we are going to have 7 + 9 = 16 in the first line and in the second line 19 - 7 = 12, and the other two operations are going to be solve also 7 + 19 = 26 and 9 + 7 = 16.
Then the answer is 7 + 9 = 16 in the first line and in the second line 19 - 7 = 12.
Which of the following criteria always proves triangles congruent? Select all that apply.
Responses
Corresponding congruent Angle-Side-Angle
Corresponding congruent Angle-Side-Angle
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Side-Angle
Corresponding congruent Side-Side-Angle
3 congruent sides
2 congruent sides
3 congruent angles
The criteria that always proves triangles are congruent are;
Option A; Corresponding congruent Angle-Side-Angle
Option B; Corresponding congruent Side-Angle-SideOption
D: 3 congruent sides
How to illustrate the information?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.
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Which value, if any, from the set {4, 5, 6} makes 15f = 85 true?
A. 5
B. 4
C. None of these values
D. 6
Your bank account currently has a balance of $180. you withdraw $20 each week. write an equation that represents how many money (y) will be in your account x weeks. use your equation to find how many weeks until your account has a balance of zero.
The equation which represents money in the account after x weeks is:
20x+y=180
Hence the time after which the account has a balance of zero is 9 weeks.
Given, the bank account has a current balance of $180.
Withdrawal of $20 takes place every week.
we are asked to determine the amount of time (in weeks) needed for the account to have no balance is = ?
let x be the time time (weeks)
and y be the money left in the bank.
the equation will be:
20x + y = $180
Hence if the balance is zero, then how many weeks will it be.
substitute y=0
20x+0=180
20x=180
x=180/20
x=9
Hence it will take 9 weeks until the account has a balance of zero.
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i need help with this
Answer: 8.2 x 10^2
Step-by-step explanation:
What is the slope of the line that passes through the points (-9, 0) and (-17, 4)?
Write your answer in simplest form.
Answer:
m = -1/2Step-by-step explanation:
Use the slope formula of y^2-y^1 over x^2-x^1
(-9,0)
x^1 ,y^1
(-17,4)
x^2,y^2
4-0 over -17-(-9) ----> 4/-8
Simplify 4/-8 by dividing the numerator and denominator by 4
= -1/2Write the slope-intercept form of the equation of the line through the given point (1, 2) with the given slope of -3:
The equation of the line with the point (1, 2) with the slope - 3 will be;
⇒ y = - 3x + 5
What is Equation of line?
The equation of line with slope m and passes through the point
(x₁, y₁) defined as;
⇒ y - y₁ = m (x - x₁).
Given that;
The slope of the line = -3
The point on the line is (1, 2).
Now,
Since, The equation of the line with slope m and passes through the point (x₁, y₁) defined as;
⇒ y - y₁ = m (x - x₁).
Hence, The equation of the line with slope - 3 and passes through the point (1, 2) will be;
⇒ y - y₁ = m (x - x₁).
⇒ y - 2 =-3 (x - 1).
⇒ y - 2 = -3x + 3
⇒ y = - 3x + 3 + 2
⇒ y = - 3x + 5
Therefore, The equation of the line with the point (1, 2) with the slope - 3 will be;
⇒ y = - 3x + 5
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Very easy 7th grade math please answer both questions 10 points!!!!
Answer:
28:
The Greatest Common Factor (GCF) of 10 and 35 is 5.
10/5 = 2
35/5 = 7
Take the GCF out and keep your divided values in the brackets:
5(2x+7)
29:
n = number of times Thalia has made cookies
c = cups of flour used
c = 12 - 2n
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0Is (2, 9) a solution to these simultaneous equations?
y = 3x + 3
y = x + 7
==============================================
Explanation:
The given solution is (2,9) which means x = 2 and y = 9 pair up together.
Replace x with 2 and replace y with 9.
Let's do so for the first equation
y = 3x+3
9 = 3*2+3
9 = 6+3
9 = 9
We get the same thing on both sides, which confirms the first equation.
Now let's check the second equation.
y = x+7
9 = 2+7
9 = 9
This equation is confirmed as well.
Both equations are true when (x,y) = (2,9) which confirms it is indeed the solution to the system.
----------------------------
If you are a visual learner, then I recommend graphing out the equations using a tool like GeoGebra or Desmos.
The two lines intersect at (2,9) which visually confirms it is the solution.
function notation of g(x)-3x-8;g(-3)
The value of the function at -3 is g(-3) = -17 .
A function from set X to set Y is created by assigning an element from set Y to each element in set X. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.
A function from the set X to the set Y assigns each element of X exactly one element of Y. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.The collection of all pairings (x, f (x)) that distinctively represent a function is known as the graph of a function, which is a typical technique for lighting the function.We know that g(x) = 3x-8
Therefore we substitute the value of x with -3 to get g(x) .
g(-3) = 3(-3)-8 = -9 - 8 = -17
Therefore the value of the function is -17.
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An object is moving at a speed of 3 kilometers every 5 days. Express this speed in yards per hour.
An object is moving at a speed of 27.3 yards per hour.
How to find the speed in yards?3 kilometers must first be converted to yards.
1 m = 1.09 yards.
1 Km = 1093.61
3 km to yards is 3280.84
Currently, we must convert 5 days to hours. There are 24 hours every day, we shall multiply that number by 5 to find the number of hours in 5 days.
5 * 24 = 120 hours
To determine the speed in yards per hour, divide 3280.84 by 120.
3208.4/120
= 27.34 yards per hour
27.34 is 27.3 approximately.
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What type of god is Kronos?
Answer:
Kronos is a Titan Deity.
Step-by-step explanation:
He was a very powerful "Titan Deity" that was the King of the Titans and the Heavens.
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