Answer:
b = 8
Step-by-step explanation:
The real part of the givens add correctly.
bi - 2i = 6i Add 2i to both sides.
bi = 6i + 2i
bi = 8i The i's will cancel
b = 8
8x + 3 – 13
31 - 21 - 11
Answer: 8x+10
-1
Step-by-step explanation:
Find the radius of the circle. The center of the circle is (2, -3) and a point that lies on the circle is (-1, -2).
Answer:
[tex]\displaystyle r = \sqrt{10}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Geometry
Definition of a radius - the center of a circle to any point to the circumferenceAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Center (2, -3) → x₁ = 2, y₁ = -3
Circumference point (-1, -2) → x₂ = -1, y₂ = -2
In this case, the distance d from the center to the circumference point would be the radius r of the circle.
Step 2: Find Radius r
[Distance Formula] Define equation [Radius]: [tex]\displaystyle r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Substitute in points [Radius]: [tex]\displaystyle r = \sqrt{(-1-2)^2+(-2--3)^2}[/tex][Radius] [√Radical] (Parenthesis) Simplify: [tex]\displaystyle r = \sqrt{(-1-2)^2+(-2+3)^2}[/tex][Radius] [√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle r = \sqrt{(-3)^2+(1)^2}[/tex][Radius] [√Radical] Evaluate exponents: [tex]\displaystyle r = \sqrt{9+1}[/tex][Radius] [√Radical] Add: [tex]\displaystyle r = \sqrt{10}[/tex]find the graph below, find the slope of the line. Write your answer as a decimal.
Ellen is playing a video game in which she captures butterflies. There are 6 butterflies onscreen, but the number of butterflies doubles every minute. After 4 minutes, she was able to capture 8 of the butterflies.
Part 1 out of 2
Enter an expression for the number of butterflies after 4 minutes. Use a power of 2 in your answer.
Answer:
(2 x 4) - 8
Step-by-step explanation:
Sam invested $7500, some at 7% interest and the rest at 10%. How much did he invest at each rate if he received $570.00 in interest in one year?
Answer:
.
Step-by-step explanation:
Find 7/12 of 36
I want a good answer!!!
Answer:
option a 21 is the right answer
Step-by-step explanation:
7/12.36
12 into 3 is 36
so 12 1's are and 12 3's are
now it'll become 7 into 3
which is 21
therefore 21 is the answer
How can this expression be written another way?
60x - 24
Factor using the distributive property and the greatest common factor to write an equivalent expression
Enter your answer by filling in the boxes.
Answer:
factor using 12 (gcf)
12(5x-2)
An angle that is one half its arc is a/n
angle.
Select one:
O a. exterior
O b. interior
O c. inscribed
O d. central
Solve each equation for the given variable using your best guess and check skills after checking your guess by plugging it in to the equation, modify your guess if needed until you make a true statement and equality.REAL ANSWERS ONLY
Step-by-step explanation:
1)
4n+1=17
4n=16
n=4
2)
17=3x+2
3x=15
x=5
3)
5y-10=40
5y=50
y=10
3×(3+12÷3)−4 Can someone please answer this?
Answer:
first is 12÷3=4 .....second is 3+4=7 .......third is 3×7=21.............fourth is 21-4=17
Step-by-step explanation:
hope this help
Mariana jogged 1/2 of a mile to get from school to the park. Then she jogged 3/10 of of mile to get to the store.
What is the total number of miles Mariana jogged
Answer:
Okay, I think the easiest way to approach this problem is to first convert the mixed fractions to irregular fractions:
8
1
8
=
8
⋅
8
+
1
8
=
65
8
7
2
5
=
7
⋅
5
+
2
5
=
37
5
We want the total number of miles, so our equation is:
distance=
65
8
+
37
5
The LCD of 5 and 8 is 5*8=40, so:
distance=
325
40
+
296
40
distance=
621
40
=
15
21
40
miles.
Hope this helps!
Step-by-step explanation:
PLEASE HELP, multiple choice! Will give brainliest!!
9514 1404 393
Answer:
(d) x = 3
Step-by-step explanation:
The "vertex form" of the equation of a parabola is ...
y = a(x -h)² +k
In this form, the vertex has coordinates (h, k).
Comparing the form to your equation, you see that h=3, k=4, so the vertex is (h, k) = (3, 4).
The line of symmetry is a vertical line through the vertex. It will have the same x-value as the x-coordinate of the vertex:
x = 3
_____
In short, the equation of the line of symmetry has its constant equal to the opposite of the value added to x. Here, the added constant is -3, so the line of symmetry is x=3.
The values h and k in the vertex-form equation represent the amount of translation right and up from the parent function graph. When the graph is translated 3 units to the right, the line of symmetry moves from x=0 to x=3.
What are the coordinates of the image if this pre-image is reflected over the y axis?
Answer:
A (2, 4)
B (-6, 4)
C (-6, 2)
D (2, 2)
Step-by-step explanation:
If it is being reflecting across the y-axis, the rule is this:
(x, y) ---> (-x, y)
So...
A (-2, 4) ---> (2, 4)
B (6, 4) ---> (-6, 4)
C (6, 2) ---> (-6, 2)
D (-2, 2) ---> (2, 2)
Match each expression with the equivalent expanded expression
A hula hoop has an circumference 150.72 cm. What is the area of the hula hoop? (round to the nearest hundredth)
Answer:
Area = 1808.64 cm
Step-by-step explanation:
Circumference of a circle = 2πr
Circumference = 150.72
π = 3.14
r = radius
150.72 = 2 x 3.14 x r
150.72 = 6.28 r
r = 150.72/6.28
r = 24cm
Radius = 24
Area of a circle = πr²
Area = 3.14 x 24²
Area = 3.14 x 576
Area =1808.64 cm
Answer:
1808.64 cm
Step-by-step explanation:
tried it on khan and it worked
find the following (a) 20% of 1 kg in grams
Answer:
20% of 1kg.(1000g)
20/100×1000g
200g
4(2x - y) - 3x + 2y
Answer:
5x - 2y
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
4(2x - y) - 3x + 2y
Step 2: Simplify
Distribute 4: 8x - 4y - 3x + 2yCombine like terms (x): 5x - 4y + 2yCombine like terms (y): 5x - 2ycarmen is taller than ramon but shorter than ricardo. carmen is shorter than ryan who is taller than ricardo. who is the tallest? who is the shortest?
Answer:
ramon is the shortest
ryan is the tallest
carmen is taller than ramon
carmen is shorter than ricardo
carmen is shorter than ryan
ryan is taller than ricardo
Please help with explanation
1/3 of Cheryl’s savings was the same as 3/4 of Hilda’s savings.Cheryl saved $36.
(a) Find the ratio of Cheryl’s savings to Hilda’s savings.
(b) How much did Hilda save?
Answer:
a) the ratio is 9:4
b) Hilda did save $16.
Step-by-step explanation:
Let's define the variables:
C = Cheryl's savings.
H = Hilda's savings.
We know that:
(1/3)*C = (3/4)*H
We also know that Cheryl saved $36, then we have:
C = $36
Now we can replace that in the above equation to get:
(1/3)*$36 = (3/4)*H
$12 = (3/4)*H
$12*(4/3) = H = $16
Then Hilda did save $16.
And the ratio between of Cheryl's savings to Hilda's savings is:
36 : 16
We can simplify this if we divide both by 2.
(36/2) : 16/2
18 : 8
Again, we can divide both by 2:
(18/2) : (8/2)
9 : 4
Then the ratio is 9 : 4
PLEASE HELP ME if m<2 =38° , then what is m<1?
Answer:
Answer is 142 hope it helps
Make P the subject of the formula
pliz pliz ans this
A= P(1+(r/100))^t
Answer:
P = A / (1 + r/100)ᵗ
Step-by-step explanation:
A = P(1 + r/100)ᵗ
We can make P the subject of the above expression as follow:
A = P(1 + r/100)ᵗ
Divide both side by (1 + r/100)ᵗ
P = A / (1 + r/100)ᵗ
Therefore, making P the subject of
A = P(1 + r/100)ᵗ, we have
P = A / (1 + r/100)ᵗ
Anne Deno invests $6,500 in a 1-year certificate of deposit that earns interest at an annual rate of 3.25
percent compounded daily. The amount per $1.00 is 1.033032. How much interest will she earn at the end
one year?
Answer:
big 18
Step-by-step explanation:
The function d = 16t2 models the distance d, in feet, that an object falls in t seconds. Find the inverse function and use the inverse function
o estimate the time it takes an object to fall 100 feet. (1 point)
Answer:
[tex]t = \frac{1}{4}\sqrt d[/tex]
Time to reach 100ft is 2.5 seconds
Step-by-step explanation:
Given
[tex]d = 16t^2[/tex]
Solving (a): Determine the inverse function
[tex]d = 16t^2[/tex]
Swap the positions of d and t
[tex]t = 16d^2[/tex]
Make d the subject
[tex]\frac{t}{16} = d^2[/tex]
Take positive square root of both sides
[tex]\sqrt{\frac{t}{16}} = d[/tex]
[tex]d = \sqrt{\frac{t}{16}}[/tex]
[tex]d = \frac{1}{4}\sqrt t[/tex]
Swap the positions of d and t
[tex]t = \frac{1}{4}\sqrt d[/tex] --- The inverse function
Solving (b): Find t when d =100
Substitute 100 for d in [tex]t = \frac{1}{4}\sqrt d[/tex]
[tex]t = \frac{1}{4}\sqrt {100[/tex]
[tex]t = \frac{1}{4}* 10[/tex]
[tex]t = \frac{1* 10}{4}[/tex]
[tex]t = \frac{10}{4}[/tex]
[tex]t = 2.5[/tex]
Which subject is used most heavily in game design?
a.
Science
c.
Social studies
b.
Language arts
d.
Math
Answer:
nose
Step-by-step explanation:
perdno
Answer:
Language arts
Step-by-step explanation:
Marquis and Nikki are saving up for new iPads. Marquis has already saved up $130 and earns $25 a week mowing lawns in his neighborhood. Nikki has $55 in birthday money. She earns $40 a week babysitting her cousins after school. Write an equation to determine when they will have saved up the same amount of money. Use w for weeks
Answer:
you would add 25, 130,55, and 40 all together and than get ur answer
Step-by-step explanation:
1over 4 power negative 5
Answer:
4 to the 5th power (4^5)
Find the volume of the conical paper cup.
3 cm
7 cm
O A. 49 pi cm ^3
B. 7 pi cm^3
C. 21 pi cm ^3
O D. 63 pi cm^3
Answer:
C. 21π cm³
Step-by-step explanation:
Use volume formula for cone
[tex]V = \pi r^{2} \frac{h}{3}[/tex]
r = 3cm
h = 7cm
[tex]V = \pi (3)^{2} * \frac{7}{3}[/tex]
[tex]V = \pi 9 * \frac{7}{3}[/tex]
[tex]V = \pi \frac{63}{3}[/tex]
[tex]V = 21 \pi[/tex]
Answer:
C
Step-by-step explanation:
credit goes to the person up top
While this ratio changes over time, 1 Euro is currently valued at 1.21 U.S. Dollars. Use proportions to find the cost in U.S. Dollars of an item costing 48.14 Euros. Then, find the cost in Euros of an item that costs 97.72 US Dollars. Fill in the four blanks below.
Proportion equation used for answer below:_________
48.14 Euros=__________ US Dollars
Proportion equation used for answer below:__________
97.72 US Dollars = _________ Euros
Answer:
48.14= $58.25
$97.92= 81.27 euro
Step-by-step explanation:
Giving the following information:
1 Euro is currently valued at 1.21 U.S. Dollars.
First, we need to calculate the dollar value of 48.14 euros.
Proportion equation used for answer below: 1e= 1.21d
48.14*1.21= $58.25
Now, the euro value of 97.72 dollars.
Proportion equation used for answer below: (1:1.21) 0.83
1 dollar equals 0.83 euro.
97.92*0.83= 81.27 euro
-6.5m + 14.3< -22.75
Answer:
[tex]m > 5.7[/tex]
hope this helps consider downloading photomath
What is the equation of the line going through the points (2, 4) and (4, 12)
Answer:
m= 4
b= -12
( 4, -12)
Step-by-step explanation:
m= y2- y1/ x2-x1
m= 12 - 4/ 4 - 2
m= 8/ 2
m= 4
y= 4x + b
(2,4)
4= 4(4) + b
4= 16 + b
-16+4= b
-12= b
b= -12