Answer:
[tex]xy=30-109i+30i^2[/tex]
Step-by-step explanation:
If x=(10-3i) and y=(3-10i), then xy=
[tex](10-3i)(3-10i)=[/tex]
Using the FOIL method:
First: [tex]30[/tex]
Outer: [tex]-100i[/tex]
Inner: [tex]-9i[/tex]
Last: [tex]30i^2[/tex]
[tex]30-100i-9i+30i^2=\\30-109i+30i^2[/tex]
[tex]xy=30-109i+30i^2[/tex]
[tex]( {5b}^{2} + 3b + 4) + ( {6b}^{2} - 5)[/tex]
Answer: 11b^2 + 3b - 1
Step-by-step explanation:
(5b^2 + 3b + 4) + (6b^2 - 5)
5b^2 + 3b + 4 + 6b^2 - 5
11b^2 + 3b -1
Which correctly describes a cross section of the cube below? Check all that apply.
A cross section parallel to the base is a square measuring 4 cm by 4 cm.
A cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm.
A cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm.
Answer:
check the first one only
Step-by-step explanation:
in a cube, no matter which side it is, there will never be a rectangle, it will all be squares
not exactly good at drawing but I drew out what the description looks like and hope you can somehow understand it better!
Solve for the missing value x 3:9=x:81
Answer:
x=27
Step-by-step explanation:
So let's look at the ratio
3:9
x:81
x is proportional to 3 the same way that 81 is to 9
How would we get 9 to 81?
We would multiply by 9
So what is 3*9?
27
Jerri says that a square is a rhombus because it has 4 equal sides. Brianna says that a square is a parallelogram because it has two pairs of parallel sides. Who is correct? Explain.
Answer:
Both are correct.
Step-by-step explanation:
A square is a rhombus because it has 4 equal sides but it also has two pairs of parallel side which therefore makes it a parallelogram as well.
An initial population of 895 quail increases at an annual rate of 7%. Write an exponential function to model the quail population.
SIMPLE HELP HELP HELP PLEASE ONLY 1 ANSWER NONE OF THE ABOVE OR ALL IS NOT THE ANSWER SO PLEASE DO IT RIGHT THIS TIME WILL GIVE BRAINLIEST AND 20 POINTS
Answer:
A
The first option is the correct!
They are parallel so they never connect! :)
Photos attached!
Hope this helps! Have a great day! :)
Answer:
y < x+4
y> x+6
Step-by-step explanation:
y =x+6 and y =x+4 are ║ lines because they have the same slope 1; first line is shaded below and the other above so they don't overlap and no solution
The lengths of two sides of an acute triangle are 8 inches and 10 inches. Which of the following could be the length of the third side?
A. 5 inches
B. 6 inches
C. 12 inches
D. 13 inches
What is the equation of a line, in standard form, for the line with slope 5 and a y-intercept of -4?
a) 5x + y - 4 = 0
b) 5x - y + 4 = 0
c) 5x - y - 4 = 0
d) 5x + y + 4 = 0
Answer:
Option c
Step-by-step explanation:
Converting all options into slope intercept, you get
a) y=-5x+4
b) y=5x+4
c) y=5x-4
d) y=-5x-4
option c has slope 5 and y-intercept -4
The table shows the function representing the height in the area of the base of a rectangular prism for different values of X the volume of the prism when X = 3 is 36 which equation can be used to represent the volume of the prism, v(x)?
Answer:
A
can i have brainliest lol
Step-by-step explanation:
when x = 3, the volume is 36.
4 times 9 = 36, so you multiply f(x) by g(x) to get 36
will mark bianleast
When figure ABCD is reflected across the dotted line into figure A′B′C′D', which describes the position of B'?
5 units below the dotted line
5 units above the dotted line
3 units below the dotted line
3 units above the dotted line
Answer:
5 units above the dotted line
Step-by-step explanation:
The reason for this is that there is a distance of 5 units between point B and the line so we know that when it is reflected there will be a distance of 5 as well.
Can someone please so me how I would figure out how to do this? I believe it’s subtraction. But I’m not sure
Answer:
A. 1/12.
Step-by-step explanation:
Orville and Wilbur ate 1/3 + 1/4
= 4/12 + 3/12
= 7/12 of the pizza.
So there was 1 - 7/12 = 5/12 of the pizza left.
So Ruth ate 5/12 * 1/5
= 5/60
= 1/12.
A computer technician charges a flat rate for home visits plus $ 55 per hour. The technician bills $190 for a 2-hour home visit to install a new hard drive. The equation y − 190 = 55(x − 2) gives the total amount y the technician charges for x hours of work.
What is the equation in slope-intercept form?
y = 55x + 190
y = 55x + 80
y = 190x + 55
y = 2x + 55
Answer: y = 55x + 80
Step-by-step explanation:
Answer:
1. y = 55x + 80
2. the flat rate
3. The technician worked 4.5 hours
Step-by-step explanation:
Hope this helps!
Jennifer is organising a street party. she needs to make 300 cakes. the recipe consist of : 50g icing, 150g butter, 120g caster sugar, 110g flour, 1 egg, 5h baking powder. this makes 12 cakes. how much of each ingredient will she need? kilograms.
Answer:
1.25 kg of icing sugar
3.75 kg of butter
3 kgs of caster sugar
2.75 kgs flour
25 eggs
125g baking powder
Step-by-step explanation:
300/12 x (weight of ingredient)
Answer:
1.25kg icing
3.75kg butter
3kg caster sugar
2.75kg flour
25 eggs
125g baking powder
Step-by-step explanation:
Above is 6 ingredients that is all part of your answer, but you show 300/12 as your first step in workings , the rest is multiplying by 25 as shown here.
300/12 = 25
25 x 50 = 1250g = 1.25kg
25 x 150 = 3750g = 3.75kg
25 x 120 = 3000g = 3kg
25 x 110 = 2750g = 2.75kg
25 eggs
25 x 5 = 125g
Point (–1, –3) is mapped onto ________ when rotated 180° counterclockwise about the origin. Question 9 options: A) (3, –1) B) (1, –3) C) (–1, 3) D) (1, 3)
Answer:
D (1,3)
Step-by-step explanation:
(x,y) → (-x, -y)
Mapping rule for 180-degree
1. Multiply the x-coordinate by -1
2. Multiply the y-coordinate by -1
3. Simplify
While on the golf course last weekend Marc hit into the rough landing the ball behind a tall tree. His best option was to get it high enough to get over the tree and hopefully come down in the fairway for his next shot. So with a mighty swing he hit the ball into the air and was surprised to see the ball hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is: h(x)= -16x^2+120 where h is the height of the ball and x is the number of seconds the ball is in the air.
Question 1. How high did Marc actually hit the ball?
Later during that same golf outing, Marc decided to show off by trying to hit the green in one shot. So with his macho swing, he said he hit the green as the ball hung in the air for 15 seconds. The formula for this shot is: h(x)= -16x^2+200x
Question 2. How long did the ball actually hang in the air?
Answer:
120 ft at 0 seconds
Question 2: 12.5 seconds in the air
Step-by-step explanation:
h(x)= -16x^2+120
We want to find the vertex
The vertex is at
h = -b/2a = 0/-32 = 0
The maximum is at 0
h(0) = 0+120 = 120
it occurs at 0 seconds and a height of 120 ft
h(x)= -16x^2+200x
We want to find the zeros of the function
0= -16x^2+200x
Factor out -8x
0 = -8x(2x -25)
Using the zero product property
-8x=0 2x-25 =0
x =0 2x =25
x=25/2
The ball starts on the ground at 0 seconds and lands at 12.5 seconds
Which ordered pair would form a proportional relationship with the point graphed below?
Answer:
(90,60)
Step-by-step explanation:
if you look closely through the linear graph, the line crosses through (90,60) and not the other given pairs.
proportional relationships are plots that also match in the same graphing format (keep in mind when you have trouble next time)What problem can be solved by the equation ? 2.50x-2.00=10.50
Answer:
Joe earns $2.50 for every dog he walks. He also owes $2 to his mom. How many dogs does he need to walk in order for him to get $10.50
Answer:
5.004
Step-by-step explanation:
You have to add 2.00 to the other side of 10.50 and add them both because they are positive and u should get you number 12.50 and brin down 2.50 and divide and u should get ur answer.
If 1/3 of a gallon of paint covers 1/9 of a gate, then how many gallons of paint are needed to cover the entire gate?
Answer:
3 gallons
Step-by-step explanation:
So just multiply by 9.
You get 3.
Answer:
3 gallons
Step-by-step explanation:
divide 1 / 3 by 1/9
=) 1/3 ÷ 1/9
=)1/3 × 9/1
=)9/3
=)3
therefour your answer is 3 gallons
The parent function is f(x) = 2^x-6 + 3 and the new function is g(x) = 2^x-3 + 2
How does the graph change fromf (x)tog(x)?
Select each correct answer.
The graph is shifted 3 units right.
The graph is shifted 1 unit up.
The graph is shifted 1 unit down.
The graph is shifted 3 units left.
Answer:
Options C and D.
Step-by-step explanation:
The given functions are
[tex]f(x)=2^{x-6}+3[/tex]
[tex]g(x)=2^{x-3}+2[/tex]
We need to find the transformation from f(x) to g(x).
Now, write the function g(x) in the form of f(x).
[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]
[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]
[tex]g(x)=f(x+3)-1[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (1) and (2), we get
[tex]a=3>0[/tex], so graph shifts 3 units left.
[tex]b=-1<0[/tex], so graph shifts 1 unit down.
Therefore, the correct options are C and D.
Help. I’m thinking this is either b,c,d not sure which one though
Answer:
D
Step-by-step explanation:
A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:
5y = 4x + 5
5y - 4x = 5.
Answer:
It's C I THINK but it might be D.
Step-by-step explanation:
someone plz help meee
Answer:
The second one
Step-by-step explanation:
I need help due today online school sucks I only need the answer to 6 and 7
Answer:
6. The relationship is they multiply the first box of glasses by the amount of boxes 15glasses = x 3,
30 glasses = x6
45 glasses = x 9
60 glasses = x 12
75 glasses = x15
= 30, 45, 60,75
But in between glass amount 45 +60 they show a midpoint amount of glasses in a box where 45 = 9n then 55 = 11n and stands out as 11 boxes as an offset amount of glasses where 5 are in each box.
7. Robert is incorrect as 25 x 5 = 125 and not 120
as 120 and 125 glasses can be divided to check
125/25 = 5 and could be correct if he wanted spare glasses = 1 spare box.
But when we check 120/25 = 4.8 so this would be too many boxes as he would only need 24 boxes.
24 x 5 = 120 glasses.
Step-by-step explanation:
please help me with this.
Step-by-step explanation:
In a regular hexagon, split the figure into triangles.
Find the area of one triangle.
Multiply this value by six.
Alternatively, the area can be found by calculating one-half of the side length times the apothem.
Hope this helps you.
What is the surface area of a cube in which each face of the cube has an area of 7 cm 2 ? surface area = cm 2 PLZZZZZZZZZZZZZZZZ HELP ASAP
Answer:
[tex]42cm^2[/tex]
Step-by-step explanation:
Well there are 6 faces on a cube and if each face is 7, the total should be 42.
The surface area of the cube is A = 42 cm²
What is the surface area of cube?The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.
Surface area S = 6a² ,
where a is the side of the cube
Given data ,
Let the surface area of cube be A
Now , the value of A is
Let the area of one face S = 7 cm²
So , Surface area A = 6a²
On simplifying , we get
A = 6 x 7 cm²
A = 42 cm²
Hence , the surface area is 42 cm²
To learn more about surface area of cube click :
https://brainly.com/question/12079637
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Divide the following quantiles in the given ratio £100 1:3 £80 3:5 £250 2:3:5
Answer:
Step-by-step explanation:
a.
£100
1:3
1+3=4
1/4×£100
=£25
3/4×£100
=£75
b.
£80
3:5
3+5=8
3/8×£80
=£30
5/8×£80
=£50
C.
£250
2:3:5
2+3+5=10
2/10×£250
=£50
3/10×£250
=£75
5/10×£250
=£125
Can a triangle be drawn with side lengths of 7.3 meters, 4.6 meters, and 11 meters?
Answer:
Yes
Step-by-step explanation:
A triangle needs to have 2 of its smallest sides(4.6, 7.3) equal to a number greater than the biggest number(11).
4.6 + 7.3 = 11.9
It’s called a Triangle Sum Thereom
What is the percent of increase for a population that changed from 25000 to 30000
The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The population changed from 25,000 to 30,000. Then the percentage is calculated as,
P = [(30,000 - 25,000) / 25,000] x 100
P = (5,000 / 25,000) x 100
P = 0.20 x 100
P = 20%
The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.
More about the percentage link is given below.
https://brainly.com/question/8011401
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The sum of 3c2d3 + (-5c2d3) + 10c2d3 is
Answer:
8c to the pwr of 2 d to the pwr of 3
Step-by-step explanation:
i think
Answer: To find the SUM of this expression, you end up with 8c^2*d^3. (Vote me brainliest please)
Please Answer it’s simple but today I’m not feeling like myself who can help me? Please
I think the picture is better
Answer:
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
Volume of larger prism÷Volume of cube
that is;
Note:V=LWH
Therefore
[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}
= 1440[/tex]
Hope this answers your question!
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A restaurant has 75% of its tables being used. Which ratio compares the used tables with all the tables in the restaurant? A. 50:100 B. 25:75 C. 25:100 D. 15:20
Answer:
D
Step-by-step explanation:
It would 75:100
We then can simplify that by dividing by 5 so we get
15:20
Answer: 15:20
Step-by-step explanation:
75% tables are used out of 100%
The ratio will be 75:100 = 15:20
