the answer is in the picture above
Write an equivalent expression for each of the following. Express your answers in the form a + bi or a - bi
(5 + i)(9 + i)
Help please
Answer:
44 +14i
Step-by-step explanation:
(5 + i)(9 + i)
FOIL
first 5*9 = 45
inner: 9i
outer :5i
last: i*i = i^2 = -1
Add togheter
45 + 9i+5i -1
Combine like terms
44 +14i
WHAT IS ANOTHER NAME FOR NATURAL NUMBERS?
PLs answer!
Answer:
Natural Numbers (N), is also called positive integers, counting numbers, or natural numbers.
✌✌✌✌
Answer:
Another name of natural number is called counting number.
18) Mala gave Kamala half the number of sweets she had. She then had 7 sweets left. How many sweets did Mala have at the start?
Answer:
Mala had 14 sweets at the start.
Step-by-step explanation:
7 x 2 = 14
To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)
Find the length of x
. Assume the triangles are similar.
Answer:
44
Step-by-step explanation:
the smaller triangle is multiples of 9
(9, 18, 27, 36, 45, etc.)
and the bigger triangle is multiples of 11
(11, 22, 33, 44, 55, etc.)
Answer:
44
Step-by-step explanation:
22÷18=11/9
33÷27=11/9
x÷36=11/9
x=11/9×36
x=44
Selling frozen yogurt at a fair, you make $565 and use 250 cones. A single-scoop cone cost $2 and a double-scoop cone cost $2.50. How many of each type of cone did you sell?
The seller sold 120 single-scoop cones and 130 double-scoop cones to make $565.
250 cones were used while selling yogurt and made $565.
There are two types of cones:
Single-scoop cone that cost $2.
Double-scoop cone that cost $2.50.
We need to know how many cones of each type were used while selling yogurt that made $565.
This is a system of linear equations problem.We will have to make two linear equations using the given statements and apply the substitution method to get our answer.
Consider,
x = single-scoop cone.
y = double-scoop cone.
Now, we can make two linear equations:
x + y = 250............(A)
2x + 2.50y = 565...............(B)
Apply substitution method.
From (A) we get,
x = 250 - y...............(C)
And putting x = 250 - y in (B) we get,
2 ( 250 - y ) + 2.50y = 565
500 - 2y + 2.50y = 565
0.50y = 565 - 500
0.50y = 65
y = 65 / 0.50
y = 6500 / 50
y = 130
Putting y = 50 in (C) we get,
x = 250 - 130
x = 120
We have,
x = 120 and y = 130
We see that we need 120 single-scoop cones and 130 double-scoop cones to make $565.
Learn more about the system of the linear equations here:
https://brainly.com/question/8062932
#SPJ2
f) 60 students in a hostel have food enough for 30 days. If 20 more students join the hostel after 10 days, how long will the remaining food last?
Answer:
Hello,
10 days
Step-by-step explanation:
60 étudiants dans un foyer ont assez de nourriture pour 30 jours. Si 20 étudiants supplémentaires rejoignent l'auberge après 10 jours, combien de temps durera la nourriture restante ?
Let say A the quantity of food
60 students in a hostel have food enough for 30 days ==> A=k*60*30
==> k=A/1800
Let say x the duration of the food.
60 students for x days + 20 students for (x-10) days =A
[tex]k*60*x+k*20*(x-10)=A\\[/tex]
[tex]\dfrac{A*60*x}{1800} +\dfrac{A*20*(x-10)}{1800} =A\\\\60x+20x-200=1800\\\\80x=1600\\\\x=20\\[/tex]
Duration for the 80 students: 20-10=10days
what is the external angle of a polygon where the corresponding interior angle equals 105 degrees
Answer:
75 degrees maybe.......
Answer:
75 degrees
Step-by-step explanation:
the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.
and because it is measured against a line, where we have a total of 180 degrees for angles, we have
exterior angle = 180 - interval angle = 180-105 = 75
14. What is the measure of angle wº? Show all work.
Answer:
100 degrees
Step-by-step explanation:
We can start by finding angle y, which is supplementary to 160.
180-160=20
angle y = 20 degrees.
With that, we can find angle w using the interior-exterior sangle theorem (or whatever name you use for it) which states that "the measure of an exterior angle of a triangle equals the sum of the measures of two remote interior angles". In other words:
angle w = angle y + 80
angle w = 20+80
angle w = 100.
The final answer is 100 degrees.
I hope this helped! :D
Answer:
Hello,
w=100
Step-by-step explanation:
y=180-160 (angles supplementaries)
y=20
w is a externel angle of the triangle is equal to the sum of non adjacents angles:
w=80+20=100
The Jones family was one of the first to come to the U.S. They had 9 children. Assuming that the
probability of a child being a girl is .5, find the probability that the Jones family had:
at least 7 girls?
at most 8 girls?
Answer:
At least 7 girls: 0.5^7 OR 0.0078125
At least 8 girls: 0.5^8 OR 0.00390625
If i work in a week 2 days cleaning and i will work 4 hours in a day and in 1 hour is 8$ how much will it be in a year
Answer:
$3072
Step-by-step explanation:
It is given that :
I work for 4 hours everyday, working 2 days a week.
And in 1 hour , I get $8.
Therefore,
1 hour = $8
4 hours = 4 x 8
= $32
So, in 1 day working for 4 hours, I get $32.
∴ Working 2 days = 32 x 2
= $64
In 1 month, there are 4 weeks
So, in 4 weeks (or 1 month), I work for = 4 x 2
= 8 days
Therefore, in 8 days, I get = 8 x 32
= $256
Now there are 12 months in a year.
So, in 12 months , I will get = 12 x 256
= $3072
Therefore, in 1 year , I will get $3072.
please help me with this
Answer:
a) 10
b) 2.5
Step-by-step explanation:
2^n = 1024
2^n = 2^10
n = 10
4^(2n-3) = 16
4^(2n-3) = 4^2
2n-3 = 2
2n = 5
n = 2.5
Solution:-1:-
[tex]\\ \sf\longmapsto 2^n=1024[/tex]
Equal the bases[tex]\\ \sf\longmapsto 2^n=2^10[/tex]
[tex]\\ \sf\longmapsto n=10[/tex]
Solution:-2:-
[tex]\\ \sf\longmapsto 4^{2n-3}=16[/tex]
[tex]\\ \sf\longmapsto 4^{2n-3}=4^2[/tex]
[tex]\\ \sf\longmapsto 2n-3=2[/tex]
[tex]\\ \sf\longmapsto 2n=2+3[/tex]
[tex]\\ \sf\longmapsto 2n=5[/tex]
[tex]\\ \sf\longmapsto n=\dfrac{5}{2}[/tex]
[tex]\\ \sf\longmapsto n=2.5[/tex]
Can someone help me with this please
Answer:
B
Step-by-step explanation:
You need a number that when multiplied by itself 3 times gives you 512. So the length and width of the bottom layer must be 8 by 8 which is 64.
The layers are 8 cm high, so that's the third number you multiply together.
Volume = 8*8*8 = 64
But the answer you want is 8*8 which is 64
Financial maths-- multiple choice!!!
What is the risk associated with electronic money management that can arise from a bank not having enough cash on hand?
solvency
liquidity
credit risk
operational risk
Answer:
liquidity
Step-by-step explanation:
when the bank gets only electronic money transfers, they don't get actual money. so, they can use that only for other electronic transfers, but if there is the need for actual money (e.g. a lot of people need a cash payout), the bank is then not able to do that. they don't have enough cash = they are not liquid.
which can actually lead to insolvency.
the velocity of a body is increases from 10 m/s ti 15 m/s in 5seconds calculate its acceleration
Answer:
[tex]accelaration = \frac{change \: in \: veloity}{time} \\ = \frac{15 - 10}{5} \\ = \frac{5}{5} \\ = 1 \frac{m}{ {s}^{ - 2} } [/tex]
Answer: acceleration = 1 m/s²
Concept:
Here, we need to know how to calculate the acceleration of a body.
a = Δv / Δt = (v₂ - v₁) / (t₂ - t₁)
v = velocity
t = time
unit = m/s²
Solve:
Given information
v₁ = 10 m/s
v₂ = 15 m/s
Δt = 5 seconds
Given expression
a = (v₂ - v₁) / (t₂ - t₁)
Substitute values into the expression
a = (15 - 10) / 5
Simplify values in parentheses
a = 5 / 5
Simplify by division
[tex]\boxed{a=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
what is the slope of the line? please help
Answer:
Here, we see that the slope (m) equals -1.
Step-by-step explanation:
m=Rise/Run
-2/2=-1
Hope it helps:)
Mike, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Mocha Madness, which costs $12 a pound, and Sumatra Sweetness, which costs $20 a pound - to produce forty pounds of a coffee that costs $14 a pound. The beans in the mixture sell for the same price as they would separately. How many pounds of Mocha Madness coffee will Mike put into the mixture
Answer:
mocha madness = 30 pounds
Step-by-step explanation:
Let
x = Mocha Madness
y = Sumatra Sweetness
two equations can be derived from the question
x + y = 40 equation 1
12x + 20y = 14 x 40 equation 2
Multiply equation 1 by 12
12x + 12y = 480 eqn 3
subtract eqn 2 from 3
8y = 80
y = 10
substitute for y in equation 1
x + 10 = 40
x = 40 - 10
x = 30
8y = 180
y = 10 pounds
x = 30 pounds
Find the angle that has tangent,1.000.Give your answer correct to two significant figures
Answer:
Step-by-step explanation:
Degrees Radians tangent
60° π/3 √3
45° π/4 1
30° π/6 1/√3
0° 0 0
With explanation please thank you
If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P, then sin() = Incorrect: Your answer is incorrect. cos() = tan() = .
cos(a) = x/r
sin(a) = y/r
tan(a) = y/x
In the image at the end, you can see a sketch of the situation, we can model this with a triangle rectangle:
The hypotenuse length is equal to r, the adjacent cathetus to the angle is the x-value, and the opposite cathetus to the angle is the y-value.
Now we can remember the trigonometric relations:
cos(a) = (adjacent cathetus)/(hypotenuse)
sin(a) = (opposite cathetus)/(hypotenuse)
tan(a) = (opposite cathetus)/(adjacent cathetus)
Using what we wrote above, we can rewrite these as:
cos(a) = (adjacent cathetus)/(hypotenuse) = x/r
sin(a) = (opposite cathetus)/(hypotenuse) = y/r
tan(a) = (opposite cathetus)/(adjacent cathetus) = y/x
if you want to learn more about this topic, you can read:
https://brainly.com/question/24297646
sinx + cos2x + sin3x + 1 =0
Step-by-step explanation:
This is true statement.
have a great day
The distance between points A(0,1) and B(x, 4) is p
34. Find the x coordinate for point B.
Answer:
X = (P^2 - 9) ^ 1/2
Step-by-step explanation:
P^2 = (4 - 1)^2+ (0 -X)^1/2
Geometry, please answer question ASAP
9514 1404 393
Answer:
C. 16
Step-by-step explanation:
UV is a diameter of the circle. If it is perpendicular to the chord XS, then it bisects that chord. This means ...
XT = TS
3b -1 = b +5
2b = 6
b = 3
TS = b +5 = 8
The chord length is 2·TS = 2·8 = 16 units.
Answer:
C,XS=16
Step-by-step explanation:
3b-1=b+5
3b-b=5+1
2b=6
b=6/2=3
TS=b+5=3+5=8
XS=2 TS=2×8=16
What is the value of g?
Answer:
56 degrees
Step-by-step explanation:
1. Notice how g is part of a right angle, which equals 90 degrees.
2. Notice how the 34 degree angle on the other side is also part of a 90 angle.
3. Notice how the 2 right angles are vertical to each other, meaning they are the same.
4. Subtract 34 from 90.
5. g=56 degrees
Hope this helps!
-Stella
I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.
*It's kind of of hard to see if g is referring to both angle degrees or not.
Which algebraic expression represents the phrase "six less than a number"?
Answer:
[tex]x-6[/tex]
Step-by-step explanation:
We can let the 'number' in the expression be equal to [tex]x[/tex]. Something 6 less than x would x minus 6, or [tex]x-6[/tex].
Answer:
x-6
Step-by-step explanation:
Let the number be x
Less than means subtract from
x-6
find the area of this rectangle
The answer is
2x^2+1x-45
The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)
Help plzzz
Step-by-step explanation:
A n L =null
A U L= a,b,c,e,k,j
There are 4 buses for a field trip for 4th graders and each bus accommodates the same number of students. If there are 76 students going to a trip, how many are on each bus?
Answer:
19
Step-by-step explanation:
divide 76 by 4
Which cannot be a value of 0 ? Help pls
Answer:
B.
Step-by-step explanation:
Since i is in the denominator, if i = 0, then the result will be undefined. Therefore, B cannot be a value of θ.
Correct answer gets brainliest and 5 star
Answer:
d
Step-by-step explanation:
Answer:
option D
Step-by-step explanation:
the formula for slope is: y = mx + b
where m = slope & b = y intercept
so in y = -2x + 1,
m (slope) = -2 & b (y-int) = (0,1)
Which line is parallel to the line given below?
x - 3y = 24
a. y = -x + 3
b. y = -3x - 1
c. y = 3x + 8
d. y=-x-4
Answer:
x - 3y = 24
B. y = -3x - 1
Step-by-step explanation:
Hope it helped.
° ° °