Answer:
[tex]y-1=3(x-2)[/tex]
Or
[tex]y-4=3(x-3)[/tex]
Step-by-step explanation:
The slope formula is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line containing (2, 1) and (3, 4) has slope;
[tex]m=\frac{4-1}{3-2}=3[/tex]
The point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the point and slope to get:
[tex]y-1=3(x-2)[/tex]
Or
[tex]y-4=3(x-3)[/tex]
What is the measure of angle B?
d. 128°
have a nice day!!
Lorenzo went to the store with $20. He bought some cans of soup for $2 each and a gallon of milk for $3. He had $1 left over.
This equation gives s, the number of cans of soup that he bought.
2s + 3 = 20 - 1
How many cans of soup did he buy?
8
11
7
9
Answer:
8
Step-by-step explanation:
20-1=19
19-3=16
16/2=8
Answer:
S= 8 Cans Of Soup
Step-by-step explanation:
Starts With- $20
Ends With- $1
20-1=$19
$19 spent in all
Buys gallon/ Or Gallons of milk : 1 Gallon= $3
$19-$3= $16 S=Cans of soup 1 can=$2 $16 ÷ $2= S
2, 4, 6, 8, 10, 12, 14, 16 S= 8 cans $2×8=$16
1, 2, 3, 4, 5, 6, 7, 8
Use the vertical line test to determine if the graph is a graph of a function.
A) Yes
B) No
Answer:
Step-by-step explanation:
Yes. If the vertical line intersects the graph in only one place for each x value, the graph represents a function; if in two or more places, not.
Which graph represents the linear function y = x 3/4– 4?
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=\frac{3}{4}x-4[/tex]
This is a linear equation (the graph is a line)
To identify the graph find out the intercepts
Find out the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
For x=0
[tex]y=\frac{3}{4}(0)-4=-4[/tex]
The y-intercept is the point (0,-4)
Find out the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
For y=0
[tex]0=\frac{3}{4}x-4[/tex]
[tex]\frac{3}{4}x=4[/tex]
[tex]x=16/3=5.33[/tex]
The x-intercept is the point (5.33,0)
therefore
The graph in the attached figure
The graph of the linear function y = x 3/4–4 can be generated by understanding that '3/4' is the slope and '-4' is the y-intercept. This implies for every horizontal increase of 4 units, there's a vertical rise of 3 units. The function intersects the y-axis at -4.
Explanation:The linear function in question, y = x 3/4–4, can be graphed by understanding how the terms within the equation shape the line. The term '3/4' in the equation is the slope of the line and '–4' is the y-intercept. The slope or the rate of change is less than 1 which means for every increasing step in 'x', 'y' increases by less of a step (3/4 of a step, in this case). The linear function intersects the y-axis at -4. Therefore, when you plot x and y values, keep in mind that for every rise of 3 on the vertical axis, there's an increase of 4 on the horizontal axis. Start by marking the y-intercept (0, -4) and use the slope (3/4) to find the next points. From the y-intercept, move 3 units up and 4 units to the right. Repeat this pattern to generate other points that lie on the line.
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What us 10.5 as a fraction
Answer:
10 1/2
Step-by-step explanation:\
dont change the whole number part
0.5 is the same as 1/2
so 10 1/2
Final answer:
To convert 10.5 to a fraction, express it as 105/10 and simplify it to 21/2.
Explanation:
When converting the decimal 10.5 to a fraction, we can view the number 10.5 as having one decimal place.
To express the decimal as a fraction, we put the decimal over its place value, which in this case is 10 since there is one decimal place (0.5 is in the tenths place).
Therefore, 10.5 can be expressed as 105/10.
However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
Thus, the simplified fraction for 10.5 is 21/2.
can some please please help me ill mark you as brain!
Answer:
920
Step-by-step explanation:
Answer:The bottom rectangle is 15 x 20 = 300 square cm.
The top triangle is 1/2 x 20 x (8+8+15) = 1/2 x 20 x 31 = 1/2 x 620 = 310 square cm.
Total area = 300 + 310 = 610 square cms.
what is the total bill if a large pizza is $16.25, tax is 3% and you tip the waiter 20%
Answer:
You want to leave a 15% tip on a meal that cost $16.25.
First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.
Second, you need to find out what 15% of your $16.25 meal cost is.This is always done by multiplying 0.15 by $16.25, or
0.15 x $16.25=$2.44.
So, the amount of tip you are going to leave is $2.44.
This makes the total cost of your meal (to write on your charge slip or other payment)
$16.25 + $2.44 = $18.69.
Answer:
$19.99
Step-by-step explanation:
16.25 + 3% tax + 20% tip
16.25 * 0.03 = .49
16.25 * .20 = 3.25
16.25 + .49 + 3.25 = $19.99
How many times greater is the value of the 2 in 270,413 than the value of 2 in 419,427
Answer:
the 2 in 270,413 is in the thousandths place. The 2 in 419,427 is in the tenths place
Hopes this helps
Answer:
10,000
Step-by-step explanation:
I did the test
What is the measure of angle PQR
Answer:
30 degrees
Step-by-step explanation:
P+Q+R=180
80+70+Q=180
Q=30
PQR = angle Q
Answer:30 degrees!!
Step-by-step explanation:
happy Friday! :) hope this helps!
An equation that sets two fractions equal to each other is called a
Answer:
proportion
Step-by-step explanation:
An equation that sets two fractions equal to each other is called a proportion. A proportion is a name we give to a statement that two ratios are equal. When two ratios are equal, then the cross products of the ratios are equal.
Bob bought a solid rubber doorstop to keep the air flowing between the rooms of his apartment.
sides: 1.5 cm, 2 cm, 2.5 cm, 5 cm
What is the minimum amount of rubber used to make the doorstop?
a) 5cm^2
b) 7.5cm^2
c) 32cm^3
d) 33cm^3
Answer: 5 cm
Step-by-step explanation: If you liked this answer check out my channel Saltygum and subscribe
Consider the diagram. The congruence theorem that can be used to prove △LON ≅ △LMN is SSS. ASA. SAS. HL.
Answer:
The answer is SSS
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation:
The answer I need to see if it’s correct
Answer:
I believe you, by the looking of it, I would do the same
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
Please help me!!
Answer:
x ≈ 4.4 in
Step-by-step explanation:
The segment from the centre to the chord is a perpendicular bisector.
The third side of the right triangle = 7.4 ÷ 2 = 3.7
Consider the right triangle with legs 3.7 and 2.4 and hypotenuse x
Using Pythagoras' identity
x² = 2.4² + 3.7² = 5.76 + 13.69 = 19.45
Take the square root of both sides
x = [tex]\sqrt{19.45}[/tex] ≈ 4.4
Equal to t In terms of w,r and v
Answer:
[tex]\frac{WR}{v^2} =t[/tex]
Step-by-step explanation:
[tex]W = \frac{v^2t}{R}\\\\W\cdot R = v^2t\\\\\frac{WR}{v^2} =t[/tex]
How much did hazel spend on the felt
Answer:
$47.52
Step-by-step explanation:
First find the area in square inches. - 6*11*8=528
Then multiply the cost per square inch by the area - 528*9=1452
Convert the number into dollars - $14.52
Answer:
C
Step-by-step explanation:
Calculate the SA.
[tex]SA = 2(6*11)+2(11*8)+2(6*8) \\ \\ SA=2(66)+2(88)+2(48) \\ \\ SA=132+176+96 \\ \\ SA=404[/tex]
Now since we know it costs $0.09 per square inch, we can multiply 0.09 by the SA.
[tex]404*0.09=36.36[/tex]
It costs $36.36 in all.
ruben bought 2 large popcorn buckets and 4 small drinks for 20 dollars. lucia bought 2 large popcorn buckets and 2 small drinks for 14 dollars. how much did the large popcorn cost? the small drink
Answer:
4$ for large 3$ for a small
Step-by-step explanation:
Answer:
(A) cost of one large popcorn is $4.
(B) cost of one small drink is $3.
Step-by-step explanation:
Given information:
Let the cost one of large popcorn [tex]=P[/tex]
And the cost of one small drink [tex]= D[/tex]
Now according to the given information the equations that can be formed are:
[tex]2P+4D=20\\2P+2D=14\\[/tex]
Now solving the above equation by elimination method:
[tex]4D-2D=20-14\\2D=6\\D=3[/tex]
So, the cost of one small drink is $3
Now, find the cost of one large popcorn is;
[tex]2P+4 \times 3=20\\2P=20-12\\P=4[/tex]
So, the cost of one large popcorn is $4
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What is the importance of discrete mathematics in Information Technology?
discr etemathematics deals with objects that can assume only distinct, separate values like integers. information technology needs separate values so as to be accepted
Final answer:
Discrete mathematics is crucial in Information Technology for creating efficient algorithms in cryptography, network communication, and software development, as well as for driving insights from data analysis.
Explanation:
The importance of discrete mathematics in Information Technology cannot be understated, particularly due to its fundamental role in various IT applications. Discrete mathematics provides the theoretical underpinning for computer science and information technology, where discontinuous structures are observed, such as computer algorithms, software development, and data structures. It allows IT professionals to design efficient algorithms for data encryption, network communication, and software development.In cryptography, discrete mathematics helps in securing online transactions by creating algorithms that are easy to compute in one direction (like multiplying large numbers) but challenging to reverse (like factoring into primes). Moreover, discrete mathematics is central to understanding and working with concepts such as recursion, combinatorics, and graph theory which are essential in programming and data analysis.Its principles also facilitate the quantification of information as noted by C. Shannon, aiding in the differentiation between mere data and valuable information that can drive insights and business decisions. Discrete mathematics also provides the tools for approximating continuous mathematical operations, which is vital in scientific computing and the practical implementation of IT solutions.I need the answer to question 8. 50 points up for grabs
Let iron = x
There is 1.5 times the amount of zinc that there is iron, so you get zinc = 1.5x
There is 3 times as much copper as there is zinc, so 1.5 x 3 = 4.5, so copper equals 4.5x
Now all three need to equal the total weight of 210:
X + 1.5x + 4.5x = 210
Simplify:
7x = 210
Divide both sides by 7:
x = 210 /7
x = 30
Now you have a value for x, you can solve for the amount of each material.
Iron = x = 30 g
Zinc = 1.5x = 1.5(30) = 45 g
Copper = 4.5x = 4.5(30) = 135g
There is 45 g of zinc.
Let iron =x
There is 1.5 times the amount of zinc then there is iron, so zinc = 1.5x
There is 3 times as much copper then there is zinc, so 1.5*3=4.5, so copper equals 4.5x
what is the classifications of polynomials -gh4i+3g5
Answer:
The polynomial -gh⁴i + 3g⁵ is a binomial, since it has two terms
Degree of polynomial: degree of a polynomial is the term with highest of exponent.
Degree of binomial -gh⁴i + 3g⁵ = 6
1st term(-gh⁴i ) = (power of g = 1, power of h = 4, power of i = 1)
2nd term(3g⁵) = (power of g = 5)
the polynomial -gh⁴i + 3g⁵ is a 6 degree binomial.
use the substitution method to solve the system of equations. y=-8x and 4x-y=3
Answer:
x = 1/4 and y = -2Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=-8x&(1)\\4x-y=3&(2)\end{array}\right\qquad\text{put (1) to (2):}\\\\4x-(-8x)=3\\4x+8x=3\\12x=3\qquad\text{divide both sides by 12}\\x=\dfrac{3}{12}\to x=\dfrac{1}{4}\\\\\text{put the value of x to (1):}\\\\y=-8\left(\dfrac{1}{4}\right)=-2[/tex]
Answer:
x = 1/4 and y = -2
Help please K? cya gtg
Answer:
Pretty sure its Quadratic
Step-by-step explanation:
Linear, needs to be in a straight line.
Quadratic, involving the second and no higher power of an unknown quantity or variable.
Exponential, (of an increase) becoming more and more rapid.
4/5-3/10???? Help plzzz
Answer:0.5
Step-by-step explanation:4 divided by 5=0.8, 3 divided by 10=0.3
0.8-0.3=0.5
Answer:
1/2
Step-by-step explanation:
First you can make common denominators which will be
8/10-3/10 which equals 5/10
If you simplify 5/10 you will get 1/2
HELPPP PLEASE!!!!!!!
Answer:
the first answer is 135
Step-by-step explanation:
Two binomials that are factors of x^2+8x+12
Answer:
(x+2) (x+6)
Step-by-step explanation:
x^2+8x+12
What 2 numbers multiply together to give you 12 and add together to give you 8
2*6 = 12
2+6 = 8
(x+2) (x+6)
Answer: (x+2) (x+6)
Step-by-step explanation: a p e x
A circle has a radius of 4 inches and a central angle of 45°. what is the measure of the arc length associated with this angle?
Answer:
[tex]arc\ lenght=\pi[/tex]≈[tex]3.14[/tex]
Step-by-step explanation:
You need to use the formula for calculate the arc lenght:
[tex]arc\ length=2\pi r(\frac{C}{360})[/tex]
Where "C" is the central angle of the arc in degrees and "r" is the radius.
You know that the measure of the radius of the circle is 4 inches and the central angle is 45 degrees, then you can substitute into the formula [tex]arc\ length=2\pi r(\frac{C}{360})[/tex].
Therefore, you get that the measure of the arc length is:
[tex]arc\ length=2\pi r(\frac{C}{360})\\\\arc\ length=2\pi (4in)(\frac{45\°}{360})[/tex]
[tex]arc\ lenght=\pi[/tex]≈[tex]3.14[/tex]
Answer:
Pi Inches
Step-by-step explanation:
write an equation and find slope for the points (0,8) (6,8)
Answer:
equation: (8-8) ÷ (0-6)
answer: 0
Step-by-step explanation:
What is the value of y?
Enter your answer in the box.
Answer:
Y = 64°
Step-by-step explanation:
The internal angles of a triangle sum to 180°
So by subtracting the known angles from the angle sum you can find Y
Y = 180° - 37° - 79° = 64°
Answer:
64
Step-by-step explanation:
Add up the first two angles, 79+37=116
Subtract this from 180, 180-116=64
Theres your answer
PLEASE HELP! WILL MARK BRAINLIEST!! :D
Given the explicit formula for a geometric sequence, find the first 5 terms and the 8th term. (I already have the answers for the 8th term, I just need help finding the first 5 terms)
aN = 3^8-1 = 2,187
aN = 2 * (1/4)^8-1 = 0.000122
aN = -2.5 * 4^8-1 = -40,960
aN = -4 * 3^8-1 = -8,748
Hope this helps
Given a term in a geometric sequence and the common ratio find the first five terms, the explicit formula, and the recursive formula. Given two terms in a geometric sequence find the 8th term and the recursive formula. Determine if the sequence is geometric. If it is, find the common ratio.
A sphere has a height of 26. Find the surface area, volume and density (D=m/v , where m is 72)
Answer:
Surface Area: 2123.72
Volume: 9202.77
Density: 0.0078
Step-by-step explanation:
For a sphere, the height is the diameter.
Also we know the radius is half of the diameter.
Since height is 26, diameter is 26 as well. Thus, radius is half of 26, which is 13.
Formulas:
Surface area of sphere = 4πr^2
Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]
Density = mass/volume
Firstly, the surface area:
[tex]4\pi r^2\\=4\pi (13)^2\\=2123.72[/tex]
Next, the volume:
[tex]\frac{4}{3}\pi r^3\\=\frac{4}{3}\pi (13)^3\\\\=9202.77[/tex]
Lastly, density:
[tex]\frac{Mass}{Volume}\\=\frac{72}{9202.77}\\=0.0078[/tex]
*Note: all answers are given as is since no units were given