Answer:
D
Step-by-step explanation:
Equation of a line given by the two-point form is:
(y-y1)/(x-x1) = (y1-y2)/(x1-x2)
(y-(-1))/(x-1) = (-1-3) / (1-2)
(y+1)/(x-1) = -4 / -1
y+1 = 4(x-1)
y = 4x-4-1
y = 4x - 5
y-intercept at x=0 is -5
Answer is D.
Solution:
We know that:
Given points: (1, -1) and (2, 3)Slope = 4Picking any point:
=> (1, -1)Using point slope form:
y - y₁ = m(x - x₁)y - (-1) = 4(x - 1)y + 1 = 4x - 4y = 4x - 4 - 1y = 4x - 5Comparing the equation with the formula:
y = (m)x + (b) and y = (4)x + (-5)⇒ m = slope = 4
⇒ b = y-intercept = -5
Simplify the expression
3.4n + 9.6 - 2.1n
Answer:
1.3n + 9.6
Step-by-step explanation:
3.4n + 9.6 - 2.1n
So you can rearrange it to make it visually easier (but it's not needed)
3.4n - 2.1n + 9.6
Subtract like terms
1.3n + 9.6
Consider the complex numbers and in the complex plane below:
Find the rectangular forms of v,w,z
and enter them in that order.
Answer:
v = √2 +√2iw = -2 -2√3i . . . ("i" is not under either radical)z = 0 -3iStep-by-step explanation:
A suitable calculator can perform polar to rectangular conversion for you. If you like to do it "by hand", the conversion is ...
(r; θ) ⇔ r·cos(θ)+ r·sin(θ)i
Your numbers translate to ...
v = √2 +√2iw = -2 -2√3iz = 0 -3i_____
Additional comment
We aren't often asked to read polar graphs. The concentric rings here are taken to be 1 unit apart. The radial lines are 15° apart. Then the various points are ...
v = 2∠45°
w = 4∠-120°
z = 3∠-90°
As you can see, the TI-84 work-alike in the attachment is able to write and understand numbers in this form. Other calculators treat complex numbers as vectors [magnitude, angle], or as coordinates with a special separator (semicolon) to indicate polar coordinates vs. complex plane coordinates: (r; θ) vs. x +iy
In any event, you need to be careful to understand the units the calculator uses for angles. In the attached, we have set the angle units to degrees. Most spreadsheets default to radians.
56 is 80% of what number? Use the percent equation
Answer:
70
Step-by-step explanation:
56 = .80 · x
divide both sides by .8
Answer:
70
56= 0.8 *x is the equation
Simplify this problem. Leave answer in exponents.
which class are you bro I can't solve it XD
Answer:
a^7/64
Step-by-step explanation:
8^-2a^7
(8^-2 would be 1/64)
1/64a^7
(1/64 * a^7 would be 1a^7/64)
Which could be
a^7/64
In a cryptarithm, each letter is assigned its own unique digit. In the cryptarithm shown (where MATH is 3 times FUN), FUN is a 3-digit number with its digits in consecutive and increasing order. What 3-digit number is FUN? [No leading digit can be 0.]
The 3 digit number that is FUN is; 678
What is the combination of the numbers?We are told that MATH is 3 times the word "FUN".
We are also told that each letter is assigned a unique number and that no leading digit can be zero and that the digits must be consecutive.
Now, product of 789 by 3 gives;2367.
Each letter should have a unique letter and so that is not the correct sequence.
Let us try the product of 678 by;
678 * 3 = 2034
This fulfils the condition of the question because each letter has a unique digit, the lead digit is not zero and the numbers are consecutive numbers in increasing order.
Thus, the 3-digit number that is FUN is 678.
Read more about combination of numbers at; https://brainly.com/question/12468032
(worth 100 points) Miguel is organizing his collection of sports memorabilia into glass display cases. He wants to cover each side of the cases with a protective film to protect the glass. This net represents a single display case.
How much film is needed to cover each display case?
Enter your answer in the box.
Answer:
4240 inches²
Step-by-step explanation:
In order to find the amount of film needed, we have to find the surface area of this cuboid.
Formula to Find Surface Area of Cuboid: [tex]2(wl+hl+hw)[/tex], where w = width, l = length, and h = height.Now, let's solve!
[tex]2(36*25+20*25+20*36)[/tex] [tex]2(900+500+720)[/tex] [tex]2(2120)[/tex] [tex]4240[/tex]Therefore, the answer is 4240 inches².
Answer:
pretty sure the answer in 4240
Step-by-step explanation:
Explain in your own words how to find the area of a trapezoid.
Answer:
Step-by-step explanation:
[tex]Area \ of \ trapezoid = \dfrac{h(a+b)}{2}[/tex]
h - altitude or height between the parallel sides
a , b area the length of the parallel sides
10. How would you describe an Obtuse triangle?
a. It has an acute angle which measures less than 90°
b. It has an obtuse angle which measures less than 90°
c. It has an obtuse angle which measures greater than 90°.
d. It has an acute angle which measures greater than 90
Answer:
c
Step-by-step explanation:
an obtuse angle is an angle which is greater than 90° but less than 180° so an obtuse triangle will have an angle that measures greater than 90
Answer:
c. It has an obtuse angle which measures greater than 90°.
Step-by-step explanation:
An obtuse angle is any angle greater than 90°, and an obtuse triangle is a triangle in which one of the angles is an obtuse angle.
word problem for 3 divided by 1/2
Answer:
Step-by-step explanation:
it is 1.5 take it like that
A Triangle has a base length of 14cm.
The perpendicular height is 9cm.
Find the area of the triangle.
Step-by-step explanation:
multiply 14cm by 9cm
[tex]14cm \times 9cm[/tex]
equals 126
Answer:
63
Step-by-step explanation:
4
please do not use words just use the equation step by step please
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
The angle vertical to 8+17x corresponds with 110, so we set them equal to each other and solve for x since they are congruent:
[tex]8+17x=110\\\\17x=102\\\\x=6[/tex]
Answer:
x=6x=6
Step-by-step explanation:
The angle vertical to 8+17x corresponds with 110, so we set them equal to each other and solve for x since they are congruent:
\begin{gathered}8+17x=110\\\\17x=102\\\\x=6\end{gathered}
8+17x=110
17x=102
x=6
The ratio of the weight of cement to the weight of sand is 1:3. How many pounds of sand are in 9 pounds of cement?
Pls help on this question pls
Answer:
42b -7.5
Step-by-step explanation:
Find the slope of the line through the pair of points: (3,4)and (0,2)
Step-by-step explanation:
To find the slope, we'll use this formula:
[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]
m will represent our slope.
Use the first point as the second in the formula, as we'll subtract for the correct slope.
Substitute the 2 given points into the formula format:
[tex] \frac{4}{3} - \frac{2}{0} = m[/tex]
Subtract:
[tex] \frac{2}{3} = m[/tex]
The slope is 2/3.
Answer:
[tex]\boxed{\sf{\dfrac{2}{3} }}}[/tex]
Step-by-step explanation:
A slope formula is all you need to use to find the slope.
Slope:
[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]
y2=2
y1=4
x2=0
x1=3
Rewrite the problem.
[tex]\sf{\dfrac{2-4}{0-3} }[/tex]
Then, solve it.
[tex]\sf{\dfrac{2-4}{0-3}=\dfrac{-2}{-3}=\boxed{\sf{\dfrac{2}{3} }}} }[/tex]
As a result, the slope is 2/3, which is our answer.
I hope this helps you! Please let me know if my answer is wrong or not.
Which of the following figures is a pair of lines that are parallel?
A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born in order to have $44,000 when the child reaches the age of 18? Assume the money earns 5% interest, compounded monthly.
Answer:
$17,922.55
Step-by-step explanation:
The future value of a one-time investment is calculated using the formula ...
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years.
__
You have FV = 44000, r = 0.05, n = 12, t = 18, and you want to find P.
44000 = P(1 +0.05/12)^(12·18) ≈ 2.455008P
P = 44000/2.455008 = 17,922.55
The couple must deposit $17,922.55 in order to have $44,000 in 18 years.
_____
Additional comment
Some calculators, all spreadsheets, and a number of apps can make this calculation for you. All you must do is fill in the numbers.
Other than itself, which angle is congruent to
EAI
The radius of a circle is 6 inches. What is the area?
Give the exact answer in simplest form.
Answer: 36pi inches^2
Step-by-step explanation:
The area of a circle is equal to pi*radius^2.
We plug in 6 inches for the radius.
Therefore, the area of the circle is pi*6 inches^2 = 36pi inches^2
Write the name for the decimal value of point M on the number line.
A number line has endpoints 5.6 and 5.7 with 9 tick marks between them. Point M is on the fourth tick mark after 5.6.
The decimal value of point M on the number line is 5.644.
What is a number line?Number line is a straight line divided with numbers placed at equal intervals or segments along its length.
From the question:
Point M = 5.6 + (4/9) * (5.7 - 5.6) = 5.644
The decimal value of point M on the number line is 5.644.
Find out more on number line at: https://brainly.com/question/24644930
NEED AN ANSWER NOW!
Write >, =, or < for each __.
64 in __ 5 ft
2 mi __ 3,333 yd
36 yd 2 ft __ 114 ft 2 in
Which measure is less than 435 in?
A. 37 ft
B. 36 ft 10 in
C. 12 yd 3 in
D. 12 ft 3 in
Answer:
64 in > 5 ft
2 mi < 3,333 yd
36 yd 2 ft > 114 ft 2 in
D
Step-by-step explanation:
that should be right
Find y-intercept for y= (x+2)(x-5)
Answer:
I you added them to gether
What is 80% of 160
(math homework ☹️)
Answer:
128
Step-by-step explanation:
1.28 x 10^2,2^7
80% x 160 =128
Hope this helps mark me brainlist if possible
Answer:
128
Step-by-step explanation:
(80/100)*160
or
(80*160)/100
12800/100=128
What is the length of the radius of the circle?
Answer:
There is none, there is no length of a circle
Step-by-step explanation:
The population of small town grew from 4732 to 5967 from
2009 to 2015.
All rounding should be to the nearest thousandth.
A) Assuming exponential growth, write a function to model the
situation.
Define appropriate variables. (3 points)
B) When will the population of this town reach 9000?
Answer:
the small town grew to 2022
A beverage producer needs to minimize shipping costs from its two primary plants in Hamilton and Waterloo. All wholesale orders within the city are shipped from one of these plants. An outlet in Toronto orders 200 cases of soft drinks, on the same day an order for 240 cases comes from London. The plant in Hamilton has 300 cases ready to ship and the plant in Waterloo has 200 cases. The cost of shipping each case to Toronto is $0.50 from Hamilton, and $0.70 from Waterloo. The cost of shipping each case to London is $0.60 from Hamilton, and $0.65 from Waterloo. How many cases should be shipped from each warehouse to minimize costs?
Using the Least Cost Method, 200 cases should be shipped to Toronto from Hamilton and 100 cases from Hamilton to London with the remaining 140 cases shipped from Waterloo to London to complete the orders.
What is the Least Cost Method for solving transportation problems?The Least Cost Method is a method of solving transportation problems. The allocation starts by allocating with the cell or column with the minimum cost.
The lower-cost cells are first chosen over the higher-cost cells to obtain the least cost of transportation.
Data and Calculations:Toronto London
Demand 200 cases 240 cases
Inventory:Hamilton = 300 cases
Waterloo = 200 cases
Transportation Costs per case:Toronto London
Hamilton $0.50 $0.60
Waterloo $0.70 $0.65
Various Transportation Costs:Toronto London
Hamilton $100 (200 x $0.50) $144 (240 x $0.60)
Waterloo $140 (200 x $0.70) $156 (240 x $0.65)
The number of cases that should be shipped from each warehouse to minimize transportation costs is as follows:
Toronto London
Hamilton 200 cases 100 cases (at a total cost of $60)
Waterloo 0 case 140 cases (at a total cost of $91)
Total 200 cases 240 cases
Total transportation
costs $100 (200 x $0.50) $151 (100 x $0.60 + 140 x $0.65)
Thus, using the Least Cost Method, 200 cases should be shipped to Toronto from Hamilton and 100 cases from Hamilton to London with the remaining 140 cases shipped from Waterloo to London to complete the orders with the total transportation cost incurred for the two orders from Toronto and London as $251.
Learn more about solving transportation costs problems at https://brainly.com/question/15185511
Two sides of a rectangle are 7cm and 9cm respectively. What is the range of the possible length of the third sides?
Answer:
Step-by-step explanation:
9 - 7 < length of 3rd sides < 9 + 7
so the range is greater than 2 cm and less than 16 cm
Find the missing side lengths. Answers are in simplest radical form with the
denominator rationalized.
Answer:
side y would be 4xroot(2); side x would be 8.
Step-by-step explanation:
45-45-90 triangle rules.
Joel has a photo box that is 10 inches in length, 8 inches in width, and 5 inches in height. What is the volume of the box? Show your work below.
The volume of the photo box is 400 cubic inches.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. For the reectangular box, we need the length, width and height of the box to calculate the volume.
The volume of the box will be calculated as:-
V = L x W x H
Here, L = 10 In, W =8 In, and H = 5 in put the values.
V = 10 x 8 x 5
V = 400 cubic inches
Hence, the volume is 400 cubic inches.
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Please help
If the m∠A is 33° and m∠D is 27°, determine the measure of the following:
Answer:
See below
Step-by-step explanation:
By inscribed angle theorem:
measure of intercepted arc is equal to twice the measure of its corresponding inscribed angle.
[tex]\implies[/tex]
[tex]arc\: AC = 2(27\degree) =\boxed{\purple{54\degree}}[/tex]
[tex]arc\: BD = 2(33\degree) =\boxed{\red{66\degree}}[/tex]
[tex]arc\: CB= 180\degree-(54\degree+66\degree)[/tex]
[tex]\implies arc\: CB= 180\degree-120\degree[/tex]
[tex]\implies arc\: CB= \boxed{\blue{60\degree}}[/tex]
Which statement is true?
A. 30 is 3% of 100.
B. 6 is 12% of 200.
C. 15 is 30% of 50.
D. 12 is 5% of 60.
Answer:
A. 30 is 3% of 100
Step-by-step explanation:
So if 10 is 1% of 100, then 30 is 3% of 100