Answer:
432 each.
Step-by-step explanation:
You make 20% .2%
Solve the following exponential equations
Answer:
x = 2, y = - 25
Step-by-step explanation:
(1)
note that 36 = 6² , then
[tex]6^{x}[/tex] = 6²
Since bases on both sides are equal then equate the exponents
x = 2
------------------------------------------
(2)
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
note that 25 = 5² , then
[tex]25^{11+3y}[/tex] = [tex](5^2)^{11+3y}[/tex] = [tex]5^{22+6y}[/tex]
Then
[tex]5^{5y-3}[/tex] = [tex]5^{22+6y}[/tex]
Since bases on both sides are equal then equate the exponents
22 + 6y = 5y - 3 ( subtract 5y from both sides )
22 + y = - 3 ( subtract 22 from both sides )
y = - 25
Help me plz! I need help!
Answer:
function 2
Step-by-step explanation:
i looked at the table, and since t (which is the x-coordinate in this case) was 0, that means that 5.25 is the y-coordinate and is greater than 5 in the first equation.
Which of the following points is not an ordered pair for the function
ƒ(x ) =5/2 x + 6?
(4, 16)
(2, 7)
(-2, 1)
Answer:
(2, 7) is not an ordered pair for the function.
Step-by-step explanation:
If it takes Laine 4 hours to wash the windows, Leslie 5 hours to wash the same windows, and Lance 6 hours to wash the windows, how long would it take them all working together?
.8 hours
6 hours
1.6 hours
3.2 hours
1/4+1/5+1/6=1/x
LCM = 60
15/60+12/60+10/60=1/x
37/60=1/x
37x=60
x=60/37=1.62, round =1.6
1.6 HOURS
The number of hours they would take them all working together is around 1.6 hours.
What are ratios and proportions?A ratio is the divide of the two variables and the lower variable known as the denominator should not be zero.
Given that laine takes 4 hours to complete work
In 1 hour Laine will do 1/4 part of the work.
In 1 hour Leslie will do 1/5 part of the work.
In a 1-hour Lance will do 1/6 part of the work.
so let's suppose all done work by x hours then
1/4 + 1/5 + 1/6 = 1/x
x =1.6 so all together done the work by 1.6 hours.
For more information about ratio and proportion.
https://brainly.com/question/26974513
#SPJ5
If a man invests $1000 in a savings account and another $1000 in a fixed deposit. If the savings account pays 4.5% interest per annum and the fixed deposit pays 6% interest per annum, find the total amount after 1 year of investment. Please I need a quick answer to this!
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Savings account:
PV= $1,000
n= 1
i= 0.045
Fixed Deposit:
PV= $1,000
n= 1
i= 0.06
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
Savings account:
FV= 1,000*1.045^1
FV= $1,045
Fixed deposit:
FV= 1,000*1.06^1
FV= $1,060
The total weight of all the students in a class is 3,159 lb. The mean weight of the students is 117 lb. How many students are there in the class?
Answer:
27
Step-by-step explanation:
You do 3159 ÷ 27
Comes out to 27
I found 27 by just plugging in numbers.
Hope this helps
Answer:
There are 27 students in the class.
Step-by-step explanation:
Since the total weight is 3,159 and the average weight is 117lb, you can just divide 3,159 by 117, which will give you 27.
state a,b, and the y-intercept then graph the function on a graphing calculator
Answer:
No x-intercepts
y-intercepts: (0,2)
Step-by-step explanation:
Guided Practice
Find the square.
(c + 1)2
A.
c2 + 1
B.
c2 + c + 1
C.
c2 + 2c + 1
Answer:
C
Step-by-step explanation:
(c + 1)(c+1) = c² + c + c + 1 = c² + 2c + 1
X^2-2(x+5)
Help me PLSSS
Answer:
hope this helpss
Step-by-step explanation:
Answer:
Step-by-step explanation:
if you have to simplify it then distribute -2
x²-2(x+5)=x²-2x-10
if problem is as mentioned by other answerer,then
[tex]\frac{d}{dx} (x^2-2(x+5))=-2\\x^2-2x-10= \int (-2dx)+c\\x^2-2x-10=-2x+c\\x^2=c+10\\x=\pm \sqrt{c+10}[/tex]
HELP PLEASE VERY MUCH AND THANK YOU!!! look at screenshot
Answer:
They are both correcte
Step-by-step explanation:
Imagine a pizza with 6 slices
Half of 6 slices is 3 slices, or 3/6
If you simplify 3/6, you will get 1/2
So, both fractions are equal, but in different forms.
For better context see images below!
Joshua is going to invest $9,000 and leave it in an account for 5 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Joshua to end up with $12,500?
Answer:
Step-by-step explanation:
Answer:
6.6%
Step-by-step explanation:
PLEASE HELPP!!!!
The wingspan of a hawk is the distance from the end of one spread-out wing to the end of the other spread-out wing. A scientist measured the wingspans of a random sample of hawks at a national park. Based on the median wingspan of the sample, the scientist estimates that the median wingspan of all hawks in the national park is 40 inches. Which graph most likely represents the data from the scientist's sample?
Answer:
D)
Step-by-step explanation:
It looks like the most sense
The stock of Company A gained 6% today to $94.87. What was the opening price of the stock in the beginning of the day?
Answer:
Step-by-step explanation:
I don’t know
We want to find the opening price of the stock in the beginning of the day. We will find that the solution is $89.50.
Working with percentages.
Let's say that the opening price of the stock was X.
Then, it is increased 6% to get to $94.87
This means that the 106% of X is equal to $94.87, then we can solve:
1.06*X = $94.87
Where we wrote 106% in decimal form, now we can just solve this for X:
X = $94.87/1.06 = $89.50
This means that the price of the stock in the beginning of the day was $89.50
If you want to learn more about percentages, you can read:
https://brainly.com/question/843074
-2x - 5x + 3 - 8 please help
Answer:
-7x - 5
Step-by-step explanation:
Combine like terms.
On the left, prism A. Prism A is a triangular prism. The base has side lengths of 6 centimeters, 8 centimeters, and 10 centimeters. On the right, prism B. Prism B is a rectangular prism. The base has side lengths of 5 centimeters and 5 centimeters.
Answer:
Prism B has a larger base area
Step-by-step explanation:
Given
Base dimensions:
Prism A:
Lengths: 6cm, 8cm and 10cm
Prism B:
Lengths: 5cm and 5cm
Required [Missing from the question]
Which prism has a larger base area
For prism A
First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.
The longest side is the hypotenuse; So:
[tex]10^2 = 8^2 + 6^2[/tex]
[tex]100 = 64 + 36[/tex]
[tex]100 = 100[/tex]
The above shows that the base dimension forms a right-angled triangle.
The base area is then calculated by;
Area = 0.5 * Products of two sides (other than the hypotenuse)
[tex]Area = 0.5 * 8cm * 6cm[/tex]
[tex]Area = 24cm^2[/tex]
For Prism B
[tex]Lengths = 5cm\ and\ 5cm[/tex]
So, the area is:
[tex]Area = 5cm * 5cm[/tex]
[tex]Area = 25cm^2[/tex]
By comparison, prism B has a larger base area because [tex]25cm^2 > 24cm^2[/tex]
James joins Club One which charges a monthly membershi[ of $ 19.99. How much will James spend in all, if he continues his membership for 6 months?
Answer:
James will spend $119.94
Step-by-step explanation:
Multiply $19.99 by 6.
$19.99 x 6 = $119.94
Solve the equation using either addition or substitution. Show all your work
Answer:
(x1, y1) = (1, 3)
(x2, y2) = (4, 12)
Step-by-step explanation:
y= x^2 - 4
y= 5x - 8
(substitute the value for y)
x^2 - 4 = 5x - 8
(solve the equation)
x = 1
x = 4
(substitute the values)
y = 5 × 1 - 8
y = 5 × 4 - 8
(solve the equations)
y = -3
y = 12
( the possible solutions are)
x1, y1 = 1, -3
x2, y2 = 4, 12
(check the solutions)
-3 = 1^2 - 4
-3 = 5 × 1 - 8
12 = 4^2 - 4
12 = 5 × 4 - 8
(simplify)
-3 = -3
-3 = -3
12 = 12
12 = 12
(the ordered pairs are the solutions)
Experimental Probability is ___________ .
a . our prediction
b. data from our experiment
Answer:
b
Step-by-step explanation:
data from our experiment.....
what is the measure of ∠x?
Answer:
58
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
90-32=58
three line segments have measures of 4 units, 6 units, and 8 units. Will the segments form a triangle?
Given:
Three line segments have measures of 4 units, 6 units, and 8 units.
To find:
Will the segments form a triangle?
Solution:
We know that three line segments can form a triangle if the sum of two smaller sides is greater than the largest side.
Three line segments have measures of 4 units, 6 units, and 8 units. Here, the measure of the largest sides is 8 units.
The sum of two smaller sides is
[tex]4+6=10[/tex]
[tex]4+6>8[/tex]
Since the sum of two smaller sides is greater than the largest side, therefore the segments will form a triangle.
PLZ HELP IM BEING TIMED GIVING BRAINLIEST
Using the square root property solve (a - 10)² = 121
Answer:
21
Step-by-step explanation:
We know that the sqaure root of 121 = 11.
So, A - 10 = 11
=> A = 21
Answer:
a = -1 or a = 21
Step-by-step explanation:
take square root of each side to get:
a - 10 = [tex]\sqrt{121}[/tex]
a - 10 = 11; a = 21
a - 10 = -11; a = -1
PLSS HELPP D: WILL MARK BRAINLIEST :D
Answer:
√49
Step-by-step explanation:
It's a perfect square root.
Please brainliest ;)
ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?
Answer:
the yield is 7.68%
Step-by-step explanation:
The calculation of the yield is given below:
we know that
Yield is
= Annual dividend ÷ Price per share
= $4.15 ÷ $54
= 7.68%
Here we divide the annual dividend by the price per share in order to determine the yield
hence, the yield is 7.68%
And, the same would be considered
Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: , where "h" is the height in feet and "x" is the horizontal distance in feet from the diving board. 1) How high is the diving board? 2) How deep does the diver dive into the water? 3) At what horizontal distance from the board does the diver enter the water? 4) At what horizontal distance from the board does the diver come to the surface of the water after the dive?
Answer:
1. 6 feet
2. 6.25 feet
3. 1 feet
4. 6 feet
Step-by-step explanation:
The equation is : [tex]$h(x)=x^2-7x+6$[/tex]
1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.
So, substituting x = 0 in the equation, we get
[tex]$h(0)=0^2-7(0)+6$[/tex]
[tex]$=0-0+6$[/tex]
[tex]$=6$[/tex]
So, the diving board is 6 feet above the surface of the water.
2. From the equation, we known that it is a parabola and the vertex is minimum.
It is the minimum height which represents the depth Kendra dives into the water.
So the [tex]$x$[/tex] coordinate of the vertex is = [tex]$\frac{-b}{2a}$[/tex]
Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,
a = 1 and b = -7
∴ x coordinate = [tex]$\frac{-(-7)}{2 \times 1} $[/tex]
[tex]$\frac{7}{2}=3.5$[/tex]
Now substituting to find f(x),
[tex]$h(3.5)=(3.5)^2-7(3.5)+6$[/tex]
= -6.25
Therefore, the diver dives 6.25 feet below the water surface.
3. The horizontal distance from the board the diver enters into the water.
This is the y-intercept and it is the value of x when h(x)=0.
∴ [tex]$0=x^2-7x+6$[/tex]
Factorizing, we get [tex]$(x-1)(x-6)=0$[/tex]
∴ [tex]$x=1 \text{ or}\ x=6$[/tex]
So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.
4. We know that the equation given has [tex]$\text{two}$[/tex] x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height [tex]$h(x)=0$[/tex]. The height is the water surface level.
The first x intercept represents the points where Kendra dives into the water.
And the second x intercept is the point where Kendra comes out of the water surface. This this is [tex]$x=6$[/tex] for [tex]$h(x)=0$[/tex].
Thus Kendra dives out of the water surface at 6 feet from the board.
Somebody know this? thanks
Answer:
4 right angles
Step-by-step explanation:
a straight light intersects another straight line= creating 4 right angles
Solve each inequality.
2s+5> 49
_
Answer: S > 22
Step-by-step explanation:
Answer:
s = 23 and above
Step-by-step explanation:
2s + 5 > 49
-5 -5
2s > 44
44/2
= 22
However, the answer for s is not 22
Since it has this sign > not ≥ then that means s = 23 and above
Check:
2(23) + 5 > 49
46 + 5 > 49
51 > 49
plssssssss help solve
Answer:
cosine = adjacent/hypotenuse
cos A = 20/29 (choice: yellow)
Step-by-step explanation:
Answer:
yellow
Step-by-step explanation:
Dada la recta L1:x+(m+2)y=n−5 pasa por el punto (1,2) y que es paralelo a la recta L2:3y=2x−4. Determine m+n .
Answer:
-1/2
Step-by-step explanation:
The point slope form of equation of a line is expressed as;
[tex]y - y_{0} = m(x-x_0)[/tex]
m is the slope
(x₀, y₀) is the point on the line
Given
(x₀, y₀) = (1, 2)
Given the equation 3y = 2x - 4
Rewrite the equation
y = 2/3x - 4/3
mx = 2/3x
m = 2/3
The slope is 2/3
Substitute the slope and the point into the formula above
[tex]y -y_0 =m(x-x_0)\\y - 2 = 2/3(x - 1)\\3(y-2) = 2(x-1)\\3y - 6 = 2x - 2\\Swap\\2x - 2 = 3y - 6\\2x - 3y = -6 + 2\\2x - 3y = -4\\x - 3/2 y = -4/2\\x - 3/2 y= -2[/tex]
Compare the expression to x+(m+2)y=n−5
m + 2 = -3/2
m = -3/2 - 2
m = -7/2
Similarly
n - 5 = -2
n = -2 + 5
n = 3
m + n = -7/2 + 3
m + n = -1/2
hence the sum of m and n is -1/2
A skyscraper that stands 620 feet cast of shadow that is 125 feet long. What is the ratio of the shadow to the height of the skyscraper?
Does anyone know how to do this because im confused.
Answer:
no but choose b if u don't know it it usually works for me sorry if I don't help :(
Answer:
y=-3x is the bottom right one
y=4x is the top middle
y=x-3 is the top right one
Step-by-step explanation: