Answer: 18954
Step-by-step explanation:
The given format for password : Each password will have one digit, followed by one letter, followed by two digits. The digit 7 will not be used. So, there are 26 letters and 9 digits that will be used.
We assume that the digits can be repeated.
Then by using fundamental principle of counting,
Number of passwords can be created = (Number of digits) x (Number of letters) x (Number of digits)x(Number of digits)
= 9 x 26 x 9 x 9
= 18954
Hence, Number of passwords can be created= 18954
Lucy is a dress maker. She sew 4/7 of a dress in 3/4 hour. lucy sews at a constant rate At this rate, how many dresses does lucy sew in one hour
Answer:
(5 1/3)/7
Step-by-step explanation:
Divide 4 by 3, then times it by four and put it over the 7
NEEEED HELPPPPP PLEASEEEEEE Use long division to find the quotient below.
(8x^2 + 4x^2 + 100) - (2x + 5)
Answer:
[tex]4x^2 - 8x + 20[/tex]
Step-by-step explanation:
The correct equation is:
[tex]8x^3 + 4x^2 + 100[/tex]
We want to divide that by (2x + 5)
To do the long division, divide each term by 2x and then subtract the product of the result and (2x + 5) from the remaining part of the equation.
When you get to 0, you have reached the end of the division.
Whatever term you get from each step of division is part of the quotient.
Go over the steps above carefully while following them below:
Step 1:
Divide [tex]8x^3[/tex] by 2x. You get [tex]4x^2[/tex].
Step 2
Multiply [tex]4x^2[/tex] by (2x + 5) and subtract from [tex]8x^3 + 4x^2 + 100[/tex]:
[tex]8x^3 + 4x^2 + 100[/tex] - ([tex]8x^3 + 20x^2[/tex]) = [tex]-16x^2 + 100[/tex]
Step 3
Divide [tex]-16x^2[/tex] by 2x. You get [tex]-8x[/tex].
Step 4
Multiply -8x by (2x + 5) and subtract from [tex]-16x^2 + 100[/tex]:
[tex]-16x^2 + 100[/tex] - ([tex]-16x^2 - 40x[/tex]) = 40x + 100
Step 5
Divide 40x by 2x. You get 20.
Step 6
Multiply 20 by (2x + 5) and subtract from 40x + 100:
40x + 100 - (40x + 100) = 0
From the three steps of the division, we got [tex]4x^2[/tex], -8x and 20.
Therefore, the quotient is [tex]4x^2 - 8x + 20[/tex]
0.719 to the nearest hundredth
Answer:
.72
Step-by-step explanation:
9 rounds up because 1-4 stay the same and 5-9 round up
Answer: 0.719 to the nearest hundredth is 0.72
Please help, ty if you do
Answer:
C
Step-by-step explanation:
4,800 times 7% is 336, and 1200 times 14% is 168, and 168 is half as much as 336, so the correct answer is c
Answer:
C
Step-by-step explanation:
Multiply .7 to 6000 and solve
The side length of each square is 6 units. Find the areas of the inscribed shapes.
Answer:
a) 18
b) 20
c) 12
d) 12
Step-by-step explanation:
a) The triangle is half of the square, so you can find the area of the square(36) and divide by 2: so 18
b) There are 4 same sized blank triangles with area of 4 ( (2*4)/2 ) so 4 * 4 is 16. 16 is the blank area so the area of the shaded is 36 - 16: 20
c) There are 2 blank triangles which areas are 6, and 18, so you subtract those numbers from 36: 36 - (6+18) = 12
d) Another 2 same blank triangles with areas of 12 ( (6 *4)/2 )so you subtract them from 36 too: 36 - (12*2) = 36 - 24 = 12
Hi how to solve this simultaneous equation
Answer:
[tex]\large \boxed{\sf \ \ x=\pm8 \ \ or \ \ x=\pm2 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
First of all, we can assume that x and y are different from 0, as we cannot divide by 0.
And from the first equation we can write y as a function of x as below.
[tex]y=\dfrac{16}{x}[/tex]
And then, we replace it in the second equation to get.
[tex]\dfrac{x}{\frac{16}{x}}+\dfrac{\frac{16}{x}}{x}=\dfrac{17}{4}\\\\<=> \dfrac{x^2}{16}+\dfrac{16}{x^2}=\dfrac{17}{4}\\\\\text{*** We multiply by }16x^2 \text{ both sides ***}\\\\x^4+16*16=\dfrac{17*16}{4}x^2\\\\x^4-68x^2+3600=0\\\\\text{*** The product of the zeroes is 3600 = 64*4 and the sum is 64+4=68 ***}\\\\\text{*** So we can factorise *** }\\\\x^4-64x^2-4x^2+3600=x^2(x^2-64)-4(x^2-64)=(x^2-64)(x^2-4)=0\\\\x^2=64=8^2 \ \ or \ \ x^2=4\\\\x=\pm8 \ \ or \ \ x=\pm2\\[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Consider a regular pyramid A with a square base and a right circular cone B.
It is given that the length of a side of the square base of pyramid A is the same as the base radius of cone B.
If the two solids have the same volume, which solid will have a greater height? Explain your answer.
Please help me solve this question with steps!orz
Answer:
Pyramid
Step-by-step explanation:
[tex]\text{Volume of a Square Pyramid }=\frac{1}{3} \times l^2 \times Height\\\\ \text{Volume of a Cone }=\frac{1}{3} \pi r^2 \times Height[/tex]
Given that the two solids have the same volume
[tex]\frac{1}{3} \times l^2 \times Height=\frac{1}{3} \pi r^2 \times Height[/tex]
If the length of a side of the square base of pyramid A is the same as the base radius of cone B. i.e l=r
[tex]\frac{1}{3} \times l^2 \times $Height of Pyramid=$\frac{1}{3} \pi l^2 \times $Height of cone$\\\\$Cancel out $ \frac{1}{3} \times l^2$ on both sides\\\\Height of Pyramid= \pi \times $ Height of cone$[/tex]
If the height of the cone is 1
[tex]H$eight of Pyramid= \pi \times 1 \approx 3.14$ units[/tex]
Therefore, the pyramid has a greater height.
A weight is attached to a spring, which moves up and down as a function of time. p(t) gives the position of the weight at time (t). Position is in centimeters, and time is in seconds. Complete the following sentences based on the graph of the function. · The graph is a linear, nonlinear, or constant function. · The initial position of the weight is _ centimeter(s). · The weight first reaches equilibrium when t = _ second(s). Note: We say that the weight is at equilibrium whenever p(t)=0 cm and we say that the initial position of the block is its position when t=0s PLZ help me look at the picture for the graph plz answer ASAP thank you
Answer:
This graph is nonlinear
The initial displacement of the weight is 40cm
The weight first returns to equilibrium when t=1/2
Step-by-step explanation:
thats the answer i only had time to give not to explain
Answer:
the answer is in the photo ^^
Step-by-step explanation:
the correct thing is there for confirmation ;)
Find the slope of the line that passes through (6, 7) and (2, 16). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
m = -9/4
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the coordinates into the slope formula:
m = (16 - 7)/(2 - 6)
m = 9/-4
m = -9/4
Why the order of a succession is important
Answer:
Step-by-step explanation:
The order of a succession is a way that the terms (the first, the second, the third, etc.) can be distinguished according to a certain formation law or order criterion.
Example:
a¹/a²/a³/a⁴ And successively
In the order of a sequence you can assign any letter.
jasper owns a small retail store as a sole proprietor. the business records show that the cost of the stores inventory items has been steadily increasing. the cost of the end of the year inventory is 200,000 and the cost of the beginning of the year inventory was 250,000. jasper uses the fifo method of inventory valuation. Which of the following statements are true?
a. jasper purchases more inventory during the year than sold during the same one year period.
b. jasper would have a higher net income
if he used the lifo method of inventory valuation instead of the fifo method
c. jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory
d. since the cost of the stores inventory items is increasing, jasper will have a greater cost of goods sold figure under the fifo than the lifo.
e. none of the above
Answer:
c. jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory
Step-by-step explanation:
First In First Out FIFO is a type of inventory system in accounting, it literally implies that the oldest purchase goes out first when you made a sale. The oldest purchase are charged based on cost of good sold. If price are rising, :
FIFO will yield a lower cost of good sold
FIFO will yield a higher net income
FIFO will yield higher tax liability
FIFO will yield a higher inventory
From the information given:
the business records show that the cost of the stores inventory items has been steadily increasing. the cost of the end of the year inventory is 200,000 and the cost of the beginning of the year inventory was 250,000.
What the statement implies is that:
jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory
1. A box without a top is to be made from a rectangular piece of cardboard, with dimensions 8 in. by 10 in., by cutting out square corners with side length x and folding up the sides. (a) Write an equation for the volume V of the box in terms of x. (b) Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.
Step-by-step explanation:
The dimensions are (8-2x) and (10-2x) We will say the depth of the box is x. The equation we use for the volume of the box is V=x(8-2x)(10-2x)
Answer:
part b of the answer is x=1.5 inches
Step-by-step explanation:
suppose that consumer usage time of computers in the public library is uniformly distributed with a minimum of 20 minutes and a maximum of 80 minutes. what is the standard deviation of the distribution
Answer:
17.32 minutes
Step-by-step explanation:
The standard deviation for a uniform distribution is:
[tex]\sigma =\frac{b-a}{\sqrt12}[/tex]
If a = 20 minutes and b = 80 minutes, the standard deviation is:
[tex]\sigma =\frac{80-20}{\sqrt12} \\\sigma=17.32\ minutes[/tex]
The standard deviation of the distribution of consumer usage time of computers in the public library is 17.32 minutes.
what the formula of speed
Answer:
The formula for speed is s=(distance traveled)/(time elapsed)
Answer:
[tex]\huge \boxed{S =\frac{d }{t} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The formula to find speed is as follows:
[tex]\Longrightarrow \ \ \displaystyle \sf speed =\frac{distance \ travelled }{time \ taken}[/tex]
[tex]\Longrightarrow \ \ \displaystyle S =\frac{d }{t}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Simplify $(1-3i)(1-i)(1+i)(1+3i)$
[tex](1-3i)(1-i)(1+i)(1+3i)=\\(1^2-(3i)^2)(1^2-i^2)=\\(1+9)(1+1)=\\10\cdot2=20[/tex]
Answer:
[tex]\huge\boxed{(1-3i)(1-i)(1+i)(1+3i)=20}[/tex]
Step-by-step explanation:
[tex](1-3i)(1-i)(1+i)(1+3i)\\\\\text{use the commutative property}\\\\=(1-3i)(1+3i)(1-i)(1+i)\\\\\text{use the associative property}\\\\=\bigg[(1-3i)(1+3i)\bigg]\bigg[(1-i)(1+i)\bigg]\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=\bigg[1^2-(3i)^2\bigg]\bigg[1^2-i^2\bigg]\\\\=\bigg(1-9i^2\bigg)\bigg(1-i^2\bigg)\\\\\text{use}\ i=\sqrt{-1}\to i^2=-1\\\\=\bigg(1-9(-1)\bigg)\bigg(1-(-1)\bigg)\\\\=\bigg(1+9\bigg)\bigg(1+1\bigg)\\\\=(10)(2)\\\\=20[/tex]
what does 30b/6b equal? (30b divided by 6b)
Answer:
5
Step-by-step explanation:
Given
[tex]\frac{30b}{6b}[/tex]
Cancel the b on the numerator/ denominator.
Also the 30 and 6 can both be cancelled by 6 , thus
[tex]\frac{30b}{6b}[/tex] = [tex]\frac{30}{6}[/tex] = 5
Answer:
[tex]\boxed{5}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{30b}{6b}[/tex]
[tex]\sf Simplify[/tex]
[tex]\displaystyle \frac{30}{6} \times \frac{b}{b}[/tex]
[tex]5 \times 1[/tex]
[tex]=5[/tex]
if a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'? (–5, –2) (1, –12) (4, –15) (–9, –6)
Answer: The coordinates of D are (1,-12) .
Step-by-step explanation:
Given : Translation rule : (x, y) → (x + 6, y – 10) is applied to figure ABCD.
From the figure below, we have figure ABCD in which
The coordinates of D = (-5,-2)
According to the given translation rule :
D(-5,-2) → D'(-5 + 6, -2 – 10) (coordinates of image point D')
i.e. D(-5,-2) → D'(1, -12) [-5+6 = 1, -2-10 = -12]
Hence, the coordinates of D are (1,-12) .
Answer:
B. (1, –12)
Step-by-step explanation:
edge2021
Please answer it now in two minutes
Answer:
5.5
Step-by-step explanation:
We use right triangle XVW.
For <W, VX is the opposite leg.
WX is the hypotenuse.
The trig ratio that relates the opposite leg to the hypotenuse is the sine.
[tex] \sin W = \dfrac{opp}{hyp} [/tex]
[tex] \sin W = \dfrac{VX}{WX} [/tex]
[tex] \sin 43^\circ = \dfrac{VX}{8~mi} [/tex]
[tex] VX = 8~mi \times \sin 43^\circ [/tex]
[tex] VX = 5.5~mi [/tex]
Last week Betty practiced her guitar for 45 minutes on Monday, 25 minutes on Tuesday, 35 minutes on Wednesday, 20 minutes on Thursday, and 40 minutes on Friday. What was the mean number of minutes that she spent practicing each day?
Answer:
33 minutes
Step-by-step explanation:
To find the mean, you first must add up the values given.
45 + 25 + 35 + 20 + 40 = 165
Now, divide the sum by the number of values you have.
165/5 = 33
The mean number of minutes she spent practicing is 33.
HELP MAJOR ASSIGNMENT PLEASE HELP pls?
Answer:
1: V:56.52 SA:94.2 Ratio: 3:5
2: V:113.04 SA:62.8 Ratio: 9:5
3: V:113.04 SA:138.16 Ratio: 9:11
4: V:113.04 SA:131.88 Ratio: 6:7
Step-by-step explanation:
Hey there!
By using the following formula for volume of a cylinder I got,
[tex](3.14) r^2h[/tex]
1: 56.52
2: 113.04
3: 113.04
4: 113.04
Now to find SA we'll use the following formula,
1: 94.2
2: 62.8
3: 138.16
4: 131.88
Now for the ratio,
56.52:94.2 - 3:5
113.04:62.8 - 9:5
113.04:138.16 - 9:11
113.04:131.88 - 6:7
Hope this helps :)
please solve it 100 POINTS please help- PLEASE HELP its Identify the following for the quadratic relations please slove it all please if you can save the picture and do it on the page
Answer:
[tex]\boxed{\mathrm{view \: attachments}}[/tex]
Step-by-step explanation:
Vertex is the highest or lowest point of a parabola.
Axis of symmetry is the line that cuts the parabola in half.
y-intercept is the point where the parabola touches the y-axis.
The maximum or minimum values are the highest or lowest values the parabola can reach.
x-intercepts are the points where the parabola touches the x-axis.
What is the y-intercept of the function y=4-5x?
Answer:
4
Step-by-step explanation:
y=mx+b
b=y-intercept.
In this case...
mx=-5<-- this is the slope of the line.
b=4<-- y intercept.
Hope this helps, any further questions, please feel free to ask.
Which of these is the absolute value parent function?
O A f(x) = 12x1
O B. f(x) = (x + 1
O c. f(x) = [xl - 2
O D. f(x) = [X]
Answer:
D. f(x) = |x|
Step-by-step explanation:
The absolute value parent function has nothing added or subtracted or multiplied. It is simply ...
f(x) = |x|
Please answer this question now
Answer:
MN = 14 ft
Step-by-step explanation:
NP tangent => ∡PNM = 90°
Pythagoras
MN = √MP² - NP²
= √50² - 48²
= √(50 - 48)(50 + 48)
= √2×98
= √196
= √14²
= 14 ft
Zero product property
x(2x+4)(x+5)=0
A) x=0, x=-2, X=-5
B) x=0, x=2, x=5
C) x greater than or equal to 0
D) x=-2, x=5
Answer:
A
Step-by-step explanation:
Using ZPP we get x = 0, 2x + 4 = 0, x + 5 = 0. Solving these, we get x = 0, x = -2, x = -5.
The level of water in a dam was decreasing by 20% each day. If the level of water was 1500cm,what was the level after two days?
Answer:
[tex] L_o= 1500 cm[/tex]
And we know that the level is decreasing 20% each day so then we can use the following model for the problem
[tex] L_f = L_o (1-0.2)^t[/tex]
Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:
[tex] L_f = 1500cm(0.8)^2 = 960cm[/tex]
Step-by-step explanation:
For this case we know that the initial volume of water is:
[tex] L_o= 1500 cm[/tex]
And we know that the level is decreasing 20% each day so then we can use the following model for the problem
[tex] L_f = L_o (1-0.2)^t[/tex]
Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:
[tex] L_f = 1500cm(0.8)^2 = 960cm[/tex]
The area of the rectangle below is __sq. units.
5
16
Answer:
C.
Step-by-step explanation:
To find the area of a rectangle, times the length and the breadth together. So, it would be 16×5=80. option C is 80.
Answer:
80 sq.units
Step-by-step explanation:
A of rectangle = L×B
L= 16 units
B=5 units
A of rectangle = L×B
=16×5 units
=80 sq.units
prove that : ( sin 4 theta + cos 4 theta )= 1-2 sin square theta cos square theta
Answer:
From sin²θ + cos²θ = 1, we have;
sin⁴θ + cos⁴θ = 1 - 2·sin²θ·cos²θ
Step-by-step explanation:
The given equation is (sin⁴θ + cos⁴θ) = 1 - 2 sin²θ·cos²θ
We have;
(sin⁴θ + cos⁴θ) = 1 - 2 sin²θ·cos²θ gives;
(sin⁴θ + cos⁴θ) + 2 sin²θ·cos²θ= 1
Which is equivalent to sin⁴θ + 2 sin²θ·cos²θ +cos⁴θ = 1
From which we can get;
(sin²θ + cos²θ)·(sin²θ + cos²θ) = 1
Given that sin²θ + cos²θ = 1
Therefore;
1 × 1 = 1
To get to the initial equation in the question, we have;
sin²θ + cos²θ = 1
(sin²θ + cos²θ) × (sin²θ + cos²θ) = 1
(sin⁴θ + sin²θ·cos²θ + sin²θ·cos²θ + cos⁴θ = 1
∴ sin⁴θ + cos⁴θ = 1 - sin²θ·cos²θ + sin²θ·cos²θ = 1 - 2·sin²θ·cos²θ
Therefore;
sin⁴θ + cos⁴θ = 1 - 2·sin²θ·cos²θ.
A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl?
i. 1 : 2 : 3
ii. 2 : 3 : 4
iii. 4 : 7 : 10
A. I only
B. II only
C. III only
D. I and III only
E. II and III only
Answer:
iii
Step-by-step explanation:
because of the amount taken from the cashews.and nuts and 1 of 3 were taken away
PLEASE HELP I REALLY NEED HELP
Answer:
16
Step-by-step explanation:
perimeter of B = 21
divide by 3 to get each side: 21/3 = 7 = Y
perimeter of hexagon is 50. subtract 2Y: 50 - 14 = 36
divide 36 by 4 to find X = 9
add X + Y