4
Step-by-step explanation:
it half of 8 4/8 or 1/2 that how I got it
09. Find the rate A sum of money doubled itself in 15 years. In how many years will it become 8 times of itself?
Answer:
45 years
Step-by-step explanation:
Let the sum be x and CI=2x
We know that
CI=P(1+100R)T
2x=x(1+100R) ^15
(1+100R)^15=2
Let m be the number of years.
Therefore,
x(1+100R)m=8x
(1+100R)m=23
(1+100R)m=[(1+100R)^15]3
From eqn(1)
(1+100R)m=(1+100R)45
On comparing both power, we get
m=45 years
C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 3 ± 0.05 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 3.001 inches with a standard deviation of 0.030 inch.
I dont know how to do this will someone help me
Answer: A
Step-by-step explanation:
The change in the y coordinates is 0, but the change in the x coordinates is 8.
solve the following equation for x
4x - 6y=20
Answer:
x = [tex]\frac{3}{2}[/tex]y + 20
[Given]
4x - 6y = 20
[Add 6y to both sides of the equation]
4x = 6y + 20
[Divide both sides of the equation by 4]
x = [tex]\frac{6}{4}[/tex]y + 20
[Simplify [tex]\frac{6}{4}[/tex], both 6 and 4 are divisible by 2]
x = [tex]\frac{3}{2}[/tex]y + 20
A restaurant offers a dinner special that lets you choose from 3 entrees, 6 side dishes, and 4 desserts. You can choose one entree, two sides dishes, and one dessert. How many different meals are possible?
Step-by-step explanation:
Two meals are the different
Answer:
5*3*4 = 60, so 60 different main meals could be ordered.
Find the measure of the missing ANGLE.
46 degrees
52 degrees
65 degrees
83 degrees
Answer:
83°
Step-by-step explanation:
? = (1/2)[m(arc)DE + m(arc)RF]
? = (1/2)[106° + 60°]
? = 83°
A shoe store uses a %60 markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $51?
Answer:
81.60 is your selling price
Step-by-step explanation:
60% = 0.60
0.60 x 51 = 30.60
51 + 30.60 = 81.60
An airplane is traveling at 625 miles per hour. At this rate, about how long will it take the plane to travel 3,250 miles?
Answer:
5.2 hours
Step-by-step explanation:
divide the total distance by how fast
td/speed
3250/625=5.2hrs
Evaluate (6 + 2i) / (3 –i ).
5/4 + 6/4i
8/5 + 6/5i
20/8 + 12/8i
16/9 + 12/9i
We are given with a complex no. and need to simplify it , so let's start !!!
Let's assume that :
[tex]{:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}}[/tex]
Now , Rationalizing the denominator or in other words multiplying and dividing [tex]{z}[/tex] by the conjugate of the denominator
[tex]{:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}\times \dfrac{3+\iota}{3+\iota}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{(6+2\iota)(3+\iota)}{(3-\iota)(3+\iota)}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{6(3+\iota)+2\iota (3+\iota)}{(3)^{2}-(\iota)^{2}}\quad \qquad \{\because (a-b)(a+b)=a^{2}-b^{2}\}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{18+6\iota +6\iota +2(\iota)^{2}}{9-(-1)}\quad \qquad \{\because (\iota)^{2}=-1\}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{18+12\iota -2}{10}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{16+12\iota}{10}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{16}{10}+\dfrac{12\iota}{10}}[/tex]
[tex]{:\implies \quad {\bf \therefore}\quad \underline{\underline{z=\bf \dfrac{8}{5}+\dfrac{6}{5}\iota}}}[/tex]
Hence , Option B) (8/5) + (6/5)i is correct :D
Answer: 8/5+6/4i
Proof of validity is shown below.
Which operation should you perform first when you simplify 63 − (2 + 54 multiply 6) ÷ 5?
Answer:
Multiply 54 by 6
Step-by-step explanation:
Remember the Order of Operations:
Parentheses
Exponents
Multiplication/Division (Whichever comes first)
Addition/Subtraction (Whichever comes first)
In this case, we can start by looking inside of the parentheses.
There are two signs; addition and multiplication.
Now we look back to the order of operations (PEMDAS), and see that multiplication comes before addition, therefore you should first multiply 54 by 6.
What is this area of this rectangle
Step-by-step explanation:
To find the area of a rectangle, we simply need to multiply its length by its width. The area is simply the width of a rectangle times height. Area = h × h, Area = h2. Hence for a square, the area is the square of its sides.
Nolan has 4 sets of water colors. Each set has 8 colors. How
many total colors would he have if he bought 2 more sets?
Answer:
He would have 48
Step-by-step explanation:
1 set: 8
2 sets: 16
3 sets: 24
4 sets: 32
5 sets: 40
5 sets: 48
OR
{4(8)} + 2(8)
32 + 2(8)
32 + 16
48
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!
Answers
48
Steps
4+2=6
8 times 6= 48
HELP ME OUT PLS!!!!
All postcards at a store cost the same amount. It costs $0.50 more to buy 8 postcards than it does to buy 6 postcards.
Which equation can be used to find x, the cost of each postcard in dollars?
Answer:
I'm pretty sure it's D) 8x = 6x + 0.50
Use the relationship between the angles in the figure to answer the question.
Which equation can be used to find the value of x?
x = 52
x + 52 = 180
x + 52 = 90
52 + 38 = x
Two lines intersecting with the top right angle of fifty two degrees and a bottom left angle of labeled X degrees
Answer:
it is letter B and then it is letter a
Are 9/21 and 6/14 equivalent fractions
Answer:
Yes
Step-by-step explanation:
9/21 SIMPLIFIED= 3/7
6/14 SIMPLIFIED= 3/7
Can someone simplify the following product, 6 x 4x²?
Answer:
24x²
Step-by-step explanation:
6 x 4x² = 24(x)(x) = 24x²
If a > b and b > C, what is true about the
relationship between a and c? Explain your reasoning.
Answer:
a > c
Step-by-step explanation:
The Transitive Property of Inequality can be written as ...
If a > b and b > c, then a > c.
Based on the above, we can conclude from your premises that a > c.
write an equation for the nth term of the sequence 8,32,128,512
Answer:
8*(4^n)
where n is the nth number
equation ar^n
where a is first term
r common ratio.
A rectangular goat pen has a perimeter of 20 meters and an area of 24 square meters. What
are the dimensions of the pen?
Answer:
4m and 6m
Step-by-step explanation:
factors of 24: 2, 3, 4, 6, 8, 12
now just go through each and find one that fits the description
Find a polynomial f(x) of degree 5 that has the following zeros.
2,9,-4 (multiplicity 2 ), -5
leave your answer in factored form
F(x) =?
Answer:
Step-by-step explanation:
F(x) = (x - 2)(x - 9)(x + 4)²(x + 5)
A public parking garage charges $5 plus an additional $2 per hour. Write the equation for the line in slope-intercept form.
For the following exercises, evaluate the function f(x) =-3x: + 2x at the given input.
3 f(-2)
4 f(a)
5. show that the function f(x) =ー2(x-1): + 3 is not one to one
Answer:
We use a variety of different notations to express the derivative of a function. In (Figure) we showed that if f(x)=x^2-2x, then f^{\prime}(x)=2x-2. If we had expressed this function in the form y=x^2-2x, we could have expressed the derivative as y^{\prime}=2x-2 or \frac{dy}{dx}=2x-2. We could have conveyed the same information by writing \frac{d}{dx}(x^2-2x)=2x-2. Thus, for the function y=f(x), each of the following notations represents the derivative of f(x):
f^{\prime}(x), \, \frac{dy}{dx}, \, y^{\prime}, \, \frac{d}{dx}(f(x)).
In place of f^{\prime}(a) we may also use \frac{dy}{dx}\Big|_{x=a} Use of the \frac{dy}{dx} notation (called Leibniz notation) is quite common in engineering and physics. To understand this notation better, recall that the derivative of a function at a point is the limit of the slopes of secant lines as the secant lines approach the tangent line. The slopes of these secant lines are often expressed in the form \frac{\Delta y}{\Delta x} where \Delta y is the difference in the y values corresponding to the difference in the x values, which are expressed as \Delta x ((Figure)). Thus the derivative, which can be thought of as the instantaneous rate of change of y with respect to x, is expressed as
\frac{dy}{dx}=\underset{\Delta x\to 0}{\lim}\frac{\Delta y}{\Delta x}.
Step-by-step explanation:
There are 10 yellow cards, 6 green, 9 orange and 5 red cards in a stack turned face down. Once a card is selected it is not replaced. Find each probability.
P(two cards that are not orange)
Answer:
yellow = 33.3 %
green = 20%
orange = 30%
red = 16.6%
Step-by-step explanation:
all in all there are 30 cards
10 ➗ 30 = 0.333 = 33.3%
6 ➗ 30 = 0.20 = 20%
9 ➗ 30 = 0.30 = 30%
5 ➗ 30 = 0.166 = 16.6%
Simplify the expression:
3x4-8d+1
Answer:
-8d+13
Step-by-step explanation:
Add and Multiply all of the numbers without variables:
3x4+1
Use PEMDAS to solve (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction):
3x4=12
12+1=13
Now you have your answer:
-8d+13
Answer:
-8d+13
Step-by-step explanation:
Multiply first:
3x4=12
Add:
12+1=13
Add equations:
-8d+13
The correct answer is -8d+13
Question 3
Thank youuu
Answer:
45⁰
Step-by-step explanation:
We need to find n first.
we are given that GQH is 90⁰ which means that the sum of GQL and LQK should 90⁰ because these are angles on a straight line which adds up to 180⁰.
so,
(4n-15) + 3n = 90⁰
Take the -15 to the other side after opening the brackets.
4n + 3n = 90⁰ + 15
7n = 105⁰
Divide it by 7 for both sides.
n = 15⁰
Now substitute n=15⁰ in you LQK equation.
4n -15
(4×15) -15
60⁰ - 15
45⁰
thank you for the help <3
Answer:
21.6
Step-by-step explanation:
Connect U and X, V and Y
Note ∠XUW = ∠VYW (facing same arc VX) and ∠W = ∠W
so ΔUXW ~ ΔVYW
then VW : YW = XW : UW
VW : YW = (YW - YX) : (UV + VW)
22 : 40 = (40 - 16) : (UV + 22)
11: 20 = 24 : (UV + 22)
11 * ( UV + 22) = 20 * 24
11* UV + 242 = 480
11 * UV = 480 - 242 = 238
so UV = 238/11 = 21.6
calculate the length of the diagonal for the given rectangular prism. Round to the nearest tenth
Length = 10cm
Width = 4cm
Height = 10cm
The length of the diagonal of the rectangular prism is 14.7 feet to the nearest tenth.
What is a prism?In a three-dimensional space prism is a polyhedron where two ends are similar.
Given:
The dimensions of the right rectangular prism:
Length l = 10cm
Width w = 4cm
Height h = 10cm
The length of the diagonal of the rectangular prism,
= √(l² + w² + h)
= √{(10)² + (4)² + (10)²}
= 14.69
= 14.7 feet.
Therefore, the length of the diagonal is 14.7 feet.
To learn more about the prism;
https://brainly.com/question/12649592
#SPJ1
How do you solve friendly numbers 71+18+9=
Answer:
98
Step-by-step explanation:
71 + 9 + 18 = ( 71 + 9 ) + 18 Group numbers that add to 10 to make it easier
= 80 + 18
= 98
If you have any questions, you can ask them in the comments section of this answer. If you could mark this answer as brainliest, I would greatly appreciate it.
A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 49 mm². The surface area of the image is 784 mm². The height of the pre-image is 6.1 mm.
What is the height of the image?
Enter your answer as a decimal in the box.
mm
The term "dilation" refers to a transformation. The height of the pre-image is 24.4 mm.
What is the dilation factor?The term "dilation" refers to a transformation that is used to downsize an item. Dilation is a technique for making items appear bigger or smaller. The picture produced by this transformation is identical to the original shape.
Let the dilation factor of the trapezoid be x.
Now, if we write the area of the pre-image trapezoid, it can be written as,
[tex]\text{Area of trapezoid} = \dfrac{(a+b)}{2}h = 49\rm\ mm^2[/tex]
As we know the dilation is applicable to dimensions, therefore, the area of the trapezoid which is the image can be written as,
[tex]\text{Area of Image trapezoid} = \dfrac{(ax+bx)}{2}hx[/tex]
[tex]= \dfrac{x(a+b)}{2}hx\\\\=\dfrac{(a+b)}{2}h\cdot x^2\\\\=49\cdot x^2[/tex]
Now, if we calculate the scale factor(x) of the dilation we will get,
[tex]{\text{Area of trapezoid}}={\text{Area of Image trapezoid}}\\\\x^2 \cdot 49 = 784\\\\x = 4[/tex]
Further, the scale factor applied to the height of the image can be written as,
The height of the Image = 4 × Height of pre-image
= 4 × 6.1 = 24.4 mm
Hence, the height of the pre-image is 24.4 mm.
Learn more about Dilation:
https://brainly.com/question/2856466
Answer:
24.4 mn
Step-by-step explanation: I took the quiz
help please , thank you
Answer:
Graph 1 (big) shows that it has the biggest number which means that graph 1 (big) is the correct answer!
Step-by-step explanation: