Answers
A = bh is the area of a rectangle, and also the area of a parallelogram. Any rhombus is also a parallelogram, so you can also use this formula for any rhombus. This helps explain why A = bh shows up three times to account for the three different types of shapes: rectangle, parallelogram, rhombus
A = (1/2)*bh is the area of a triangle which can be written as A = 0.5*b*h
The last formula, which is A = [ (b1+b2)/2 ] *h is the area of a trapezoid. The sides b1 and b2 are the parallel bases
note: the height is always perpendicular to the base
Related Questions
Factor the polynomial
5c2 - 17c - 14
(5c - 7)(c - 2)
(5c - 2)(c - 7)
(5c - 7)(c + 2)
Prime polynomial
Answers
Answer:
(5c-7)(c+2)
Step-by-step explanation:
In a recent election the new mayor received three votes for every vote received by her opponent. The new mayor received 2058 votes. How many votes did her opponent receive?
Answers
As per the given values, the opponent received 686 votes.
Explanation:Total votes received by Mayor = 2058.
To find out how many votes the opponent received, we need to determine the ratio of votes received between the new mayor and her opponent. Given that the new mayor received three votes for every vote received by her opponent, we can set up the equation:
3x = 2058
where x represents the number of votes received by the opponent. To solve for x, we divide both sides of the equation by 3:
x = 2058 ÷ 3
= 686
Therefore, the opponent received a total of 686 votes.
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divide. simplify your answer (2x^4-6x^3+4x^2-3x)*(2x) pls show work
Answers
Distribute
2x × 2x^4 + 2x × -6x^3 + 2x ×4x^2 + 2x × - 3x
Take out the constants
(2 × 2)xx^4 + 2x × -6x^3 + 2x × 4x^2 + 2x × -3x
Simplify 2 × 2 to 4
4xx^4 + 2x × -6x^3 + 2x × 4x^2 + 2x × -3x
Use Product Rule: x^a x^b = x^a + b
4x^1 + 4 + 2x × -6x^3 + 2x ×4x^2 + 2x × -3x
Simplify 1 + 4 to 5
4x^5 + 2x × -6x^3 + 2x × 4x^2 + 2x × -3x
Take out the constants
4x^5 + (2 × -6)xx^3 + 2x × 4x^2 + 2x × -3x
Simplify 2 × -6 to -12
4x^5 - 12xx^3 + 2x × 4x^2 + 2x × -3x
Use the Product Rule: x^a x^b = x^a + b
4x^5 - 12x^1 + 3 + 2x × 4x^2 + 2x -3x
Simplify 1 + 3 to 4
4x^4 - 12x^4 + 2x ×4x^2 + 2x × -3x
Take out the constants
4x^5 - 12x^4 + (2 × 4)xx^2 + 2x × -3x
Simplify 2 × 4 to 8
4x^5 - 12x^4 + 8xx^2 + 2x × -3x
Use the Product Rule: x^a x^b = x^a + b
4x^5 - 12x^4 + 8x^ 1 + 2 + 2x × -3x
Simplify 1 + 2 to 3
4x^5 - 12x^4 + 8x^3 + 2x × -3x
Take out the constants
4x^5 - 12x^4 + 8x^3 + (2 × -3)xx
Simplify 2 × -3 to -6
4x^5 - 12x^4 + 8x^3 - 6xx
Use the Product Rule: x^a x^b = x^a + b
4x^5 - 12x^4 + 8x^3 - 6x^2
Answer:
4x^5 - 12x^4 + 8x^3 - 6x^2
Step-by-step explanation:
Which is true about rational numbers? A Every rational number has a decimal representation that terminates. B Every rational number has a decimal representation that either repeats or terminates. C Every rational number has a decimal representation that repeats. D No rational number has a decimal representation, because rational numbers are written as fractions.
Answers
Answer:
B Every rational number has a decimal representation that either repeats or terminates.
Step-by-step explanation:
A rational number is a number that can be written as a fraction of integers. As a decimal, a rational number either terminates or repeats.
Answer: B Every rational number has a decimal representation that either repeats or terminates.
Every rational number has a decimal representation that either repeats or terminates. Option B is correct.
What is a rational number?In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.
What are irrational numbers?An irrational number is a type of real number that cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.
here,
From definition,
Rational numbers are the fractional values that give decimal values and every rational number has a decimal representation that either repeats or terminates.
Thus, option B is correct.
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Paul bought a soft drink and a sandwich for $9.90. What equation may be used to find the price of each item if the sandwich cost 3.5 times as much as the soft drink? A) x = 9.90 B) 2x = 9.90 C) 3.5x = 9.90 Eliminate D) 3.5x + x = 9.90
Answers
Answer:
D
Step-by-step explanation:
The other ones don't make sense. The answer is 3.5x+x=9.90
what are the zeros of the polynomial functio ? f(x)=x^3+x^2-9x-9
Answers
Answer:
x = - 1
x1 = - 3
x2 = 3
Step-by-step explanation:
x^2(x + 1) - 9(x + 1) = f(x) x + 1 is a common factor
(x + 1) [ x^2 - 9] = f(x) factor x^2 - 9
(x + 1)(x - 3)(x + 3)
===============
x + 1 = 0
x = - 1
x - 3 = 0
x = 3
x + 3 = 0
x = - 3
====================
Answer
x = - 1
x1 = - 3
x2 = 3
Question:
What are the zeros of the polynomial function?
Step-by-step explanation:
Hope this helps!
(2,4) (1,8) Which Number Is y2 HELP!!
Answers
(2,4) because y2 is 1 = 2x
It takes terrel 69 minutes to weed his garden if he does it every 2 weeks, while his wife can get it done in 49 minutes. How long would it take them working together? Round to the nearest tenth of a minute
Answers
Answer: 28.7 minutes
Step-by-step explanation:
Terrel: [tex]\dfrac{1}{69}[/tex] of job per minute
Wife: [tex]\dfrac{1}{49}[/tex] of job per minute
Together: [tex]\dfrac{1}{x}[/tex] of job per minute
Terrel + Wife = Together
[tex]\dfrac{1}{69}+\dfrac{1}{49}=\dfrac{1}{x}[/tex]
[tex]\dfrac{1}{69}(69*49*x)+\dfrac{1}{49}(69*49*x)=\dfrac{1}{x}(69*49*x)[/tex]
49x + 69x = 69 * 49
118x = 3381
x = 28.7
Please help me out, I really could use it
Answers
Answer:
No real solutions
129
Step-by-step explanation:
The quadratic formula is
-b ± sqrt(b^2 -4ac)
----------------------------
2a
3x^2 =2x-1
Lets get the equation in proper form
3x^2 -2x+1 = 2x-1-2x+1
3x^2 -2x+1 =0
a=3 b=-2 c=1
Lets substitute what we know
2 ± sqrt((-2)^2 -4(3)(1))
----------------------------
2(2)
-2 ± sqrt(4-12)
----------------------------
2(2)
-2 ± sqrt(-8)
----------------------------
4
No real solutions
The quadratic formula is
-b ± sqrt(b^2 -4ac)
----------------------------
2a
2x^2 -10= 7x
Lets get the equation in proper form
2x^2 -7x-10 = 7-7x
2x^2 -7x-10 =0
a=2 b=-7 c=-10
Lets substitute what we know, we are only looking for what is inside the radical
(b^2 -4ac)
((-7)^2 -4(2)(-10))
(49 +80)
129
The Ebbinghaus model of human memory may be used to model the amount of acquired knowledge a college student will retain after “cramming” for a final exam. The formula is p=(100-a)e^-b(0.07), where a and b vary from one person to another, and p is the percent of retained knowledge 1/2 day later when the student actually takes the final exam. If a = 20 and b = 1.2 for a typical student, how much of their “crammed” knowledge will that student retain at the moment of taking the final exam?
Answers
Answer: 73.55%
Step-by-step explanation:
p = (100-a) e^-b(0.07)
we have a = 20 and b =1.2
= (100-20) e^-(1.2)(0.07)
= 80(e^-0.084)
= 80(0.919431)
= 73.55%
Answer:
The correct answer is 93.6%
Step-by-step explanation:
Got it right on Edge 2020
A birdhouse has a shadow that is 12
12
feet long.
Jin is 5
5
feet tall, and he is standing next to the birdhouse.
Jin has a shadow that is 3
3
feet long.
Use this information to complete the statement about the birdhouse.
Answers
5/3=0.6
Then multiply the length of the birdhouse shadow by that scale factor
12*0.6=7.2 feet
So the new birdhouse shadow length is 7.2 feet
Hope this helps!
Solve the system for each variable. y + g = 12 and 2y + 3g = 16
Answers
Answer:
y + g = 12 ,2y + 3g = 16
y =12-g
Substitute y =12-g in the equation 2y + 3g = 16.
2(12-g)+ 3g = 16
24-2g+3g=16
24+g=16
g=16-24
g= -8
Substitute g= -8 in the equation y =12-g.
y =12-(-8)
=12+8
y =20
Step-by-step explanation:
The value of variable y is 20 and value of variable g is -8.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are y+ g = 12 and 2y + 3g = 16
y+g=12
y=12-g...(1)
2y+3g=16..(2)
Substitute 1 in equation 2
2(12-g)+3g=16
24-2g+3g=16
Add the like terms
24+g=16
g=16-24
g=-8
Now substitute the g value in equation y+g=12
y-8=12
Add 8 on both sides
y=20
Hence, the value of variable y is 20 and value of variable g is -8.
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the consumer price index compares the cost of goods and services over various years, where 1967 is used as t=0. The same goods that cost $100 in 1967 cost $184.50 in 1977. Find an exponential function to model this data. Estimate what those goods would cost in 2005
Answers
Answer:
f(t) = 100·1.845^(t/10)$1025.15Step-by-step explanation:
(a) The given numbers can be put directly into the form ...
... f(t) = (initial value) · (ratio)^(t/(time to achieve that ratio))
Here, we have an intial value of $100, and a ratio of $184.50/$100 = 1.845. The time to achieve that multiplication is 10 years (1967 to 1977). So, the equation can be written ...
... f(t) = 100·1.845^(t/10)
(b) You want to find f(38).
... f(38) = 100·1.845^(38/10) = 100·1.845^3.8 ≈ 1025.15 . . . dollars
Final answer:
Using the provided CPI data, an exponential function is found to model the change in cost of goods over time. The estimated cost of the same goods in 2005, using this model, is approximately $1019.03, illustrating changes in purchasing power and the cost of living.
Explanation:
The question involves finding an exponential function to model the Consumer Price Index (CPI) data and estimate the cost of goods in a future year based on past data. The data provided includes the cost of the same goods being $100 in 1967 (t=0) and $184.50 in 1977. An exponential function of the form y = abt can be used, where y represents the cost of goods, t represents the year, and a and b are constants to be found.
Given that the goods cost $100 in 1967, our initial condition gives us a as $100. We then use the information from 1977 (t=10) to solve for b. Plugging in the values, we get $184.50 = 100*b10, which solves to b approximately equal to 1.0653. Therefore, the exponential function modeling the CPI data is y = 100(1.0653)t.
To estimate the cost of goods in 2005, we substitute t with 38 (2005 - 1967), resulting in an estimated cost of goods y ≈ 100(1.0653)³⁸ ≈ $1019.03. This estimation illustrates how the Consumer Price Index can indicate changes in purchasing power and the cost of living over time.
math help please!!!!!!!!!!! will mark brainly
Answers
Answer:
B)3/8
Step-by-step explanation:
So there are 3 yellow or blue in total. So 3/8.
Answer:
3/8
Step-by-step explanation:
There are 8 pieces of equal size (and thus equal probability). 3 of them qualify as "success" (yellow or blue), so 3 out of 8 is the probability.
What is the value of the function at x = 3?
Enter your answer in the box.
Answers
Answer:
4
Step-by-step explanation:
Recall a linear function, is a line on a graph made up of an infinite amount of points which satisfy the relationship. That means at x=3 there is a specific point on the line with an output. The value of a function at x=3 asks, what is the output y value for the input x value?
To find it, we locate 3 on the x-axis. We draw a vertical line directly to the line following the grid line. We mark the point on the line. We then draw a horizontal line directly to the y-axis following the grid line. The point we hit on the y-axis is the value of the function.
Here it is 4.
Answer:
4
Step-by-step explanation:
i took the test
1. Amanda tells you that because a variable is in the denominator, the equation three over x plus one over three equals five over six becomes unsolvable. Amanda explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to Amanda how the equation is still solvable and explain your reasoning.
2. When looking at the rational function f of x equals the quantity x minus one times the quantity x plus two times the quantity x plus four all divided by the quantity x plus one times the quantity x minus two times the quantity x minus four, Bella and Edward have two different thoughts. Bella says that the function is defined at x = –1, x = 2, and x = 4. Edward says that the function is undefined at those x values. Who is correct? Justify your reasoning.
Answers
Answer: x = 6
Step-by-step explanation:
[tex]\dfrac{3}{x}+\dfrac{1}{3}=\dfrac{5}{6}[/tex]
[tex](6x)\dfrac{3}{x}+(6x)\dfrac{1}{3}=(6x)\dfrac{5}{6}[/tex] multiplied by common denominator
18 + 2x = 5x
-2x -2x
18 = 3x
÷3 ÷3
6 = x
Since "x" is in the denominator, the restriction is that x ≠ 0. If the solution was x = 0, then the solution would not be valid and would be eliminated as an answer.
Remember that "x" is just an unknown value. It is possible to add two fractions together and have their sum be a fraction.
For example: [tex]\dfrac{1}{5} + \dfrac{2}{5} = \dfrac{3}{5}[/tex] could be written as [tex]\dfrac{1}{5} + \dfrac{2}{x} = \dfrac{3}{5}[/tex]. When we solve it, we will get x = 5.
******************************************************************************************
Answer: Edward
Step-by-step explanation:
[tex]f(x)=\dfrac{(x-1)(x+2)(x+4)}{(x+1)(x-2)(x-4)}[/tex]
The denominator cannot equal zero, so:
x + 1 ≠ 0 → x ≠ -1x - 2 ≠ 0 → x ≠ 2x - 4 ≠ 0 → x ≠ 4Those x-values are the asymptotes, which is where the function is undefined.
Write an equation of the line that passes through(0,4)and(0,-3)
Answers
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-4}{0-0}\implies \cfrac{-7}{0}\impliedby und efined[/tex]
when the slope of the points is undefined, is a flag that is a vertical line.
Check the picture below.
Hi there! :)
Step-by-step explanation:
[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
[tex]\frac{(-3)-4}{0-0}=\frac{-7}{0}=0[/tex]
Therefore, the slope is 0.
Undefined.
Final answer is 0.
I hope this helps you!
Have a nice day! :)
-Charlie
:D
Please help! 70 points :)
Will award brainliest
Answers
Answer:
38 = FH
Step-by-step explanation:
Because this is a rectangle, IG = FH
We know that IE + EG = FH
We also know that IE = EG (perpendicular bisectors)
IE = EG
3x+4 = 5x-6
Subtract 3x from each side
3x-3x+4 = 5x-3x-6
4 = 2x-6
Add 6 to each side
4+6 =2x
10 =2x
Divide by 2
10/2 =2x/2
5=x
Now lets find FH
IE + EG = FH
3x+4 + 5x-6 = FH
Combine like terms
8x-2 = FH
Substitute in x =5
8*5-2
40-2
38 = FH
Answer:
40-2
38 = FH
Step-by-step explanation:
The function f(x) goes through the point (2, 6). What point will this translate to in the function f(x) = (x + 2) – 3?
(0, 9)
(0, 3)
(4, 3)
(4, 9)
Answers
Answer:
(0,3)
Step-by-step explanation:
g(x) = f(x + 2) – 3
This is a shift of 2 to the left and a shift of 3 down
x moves from 2 to 2 units left (-2) so it becomes 0
y moves from 6 to 3 units down (-3) so it becomes 3
Answer:
the answer is B. or (0,3)
Step-by-step explanation:
Alex mixes 2/3 pounds of walnuts with 3/5 pound of dried fruit. To create more of the same mixture, how many pounds of walnuts does Alex need to mix with one pound of dried fruit?
Answers
Alex needs to mix one pound of dried fruit with
[tex]1 \frac{1}{9} [/tex]
pounds of walnuts.
EXPLANATION
It was given that, Alex mixes
[tex] \frac{2}{3}[/tex]
pounds of walnuts with
[tex] \frac{3}{5} [/tex]
pounds of dried fruit.
We can write the ratio,
[tex] \frac{2}{3} : \frac{3}{5} [/tex]
Let
[tex]x[/tex]
represent how many pounds of walnuts Alex needs to mix with one pound of dried fruit.
Then we can again write the ratio,
[tex]x: 1[/tex]
We can therefore write the proportion,
[tex] \frac{2}{3} : \frac{3}{5} = x: 1[/tex]
This can be rewritten as,
[tex] \frac{ \frac{2}{3} }{ \frac{3}{5} } = \frac{x}{1} [/tex]
We solve for x to obtain,
[tex] \frac{2}{3} \times \frac{5}{3} = x[/tex]
This implies that,
[tex]x = \frac{10}{9} [/tex]
[tex]x = 1 \frac{1}{9} [/tex]
Hence Alex needs to mix
[tex] 1\frac{1}{9} [/tex]
pounds of walnuts with one pound of dried fruit.
A spherical scoop of ice cream with a diameter of 8 cm rests on top of a sugar cone that is 12 cm deep and has a diameter of 8 cm. What percent of the ice cream must be eaten to insure it does not overflow the cone when it melts?
Answers
Answer: 25% of the ice cream must be eaten to insure it does not overflow the cone when it melts.
Step-by-step explanation:
1. You must calculate the area of spherical scoop of ice cream with the following formula for calculate the volume of a sphere:
[tex]Vs=\frac{4}{3}r^{3}\pi[/tex]
Where [tex]r[/tex] is the radius ([tex]r=\frac{8cm}{2}=4cm[/tex])
[tex]Vs=\frac{4}{3}(4cm)^{3}\pi=268.08cm^{3}[/tex]
2. Now, you need to calculate the volume of the sugar cone with the following formula:
[tex]Vc=\frac{1}{3}r^{2}h\pi[/tex]
Where [tex]r[/tex] is the radius ([tex]r=\frac{8cm}{2}=4cm[/tex]) and [tex]h[/tex] is the height ([tex]h=12cm[/tex]):
[tex]Vc=\frac{1}{3}(4cm)^{2}(12cm)\pi=201.06cm^{3}[/tex]
3. When the ice cream melt, the percent of the cone that will be filled is:
[tex]P_f=(\frac{201.06cm^{3}}{268.08cm^{3}})100=75[/tex]%
4. Therefore, the percent of the ice cream that must be eaten to insure it does not overflow the cone when it melts, is:
[tex]P_e=100[/tex]%[tex]-75[/tex]%
[tex]P_e=25[/tex]%
Final answer:
To ensure the melted ice cream does not overflow the cone, 75% of the ice cream must be eaten. This is calculated by finding the volumes of the ice cream sphere and the cone and comparing them to get the percentage that can fit into the cone without overflowing.
Explanation:
The student's question involves determining what percent of a spherical scoop of ice cream (with a diameter of 8 cm) must be eaten to ensure it does not overflow a sugar cone (also with a diameter of 8 cm and 12 cm deep) when the ice cream melts. The ice cream and the cone have the same diameter, so they have the same base area. To prevent overflow, the volume of the melted ice cream must be less than or equal to the volume of the cone.
To solve this, we must first calculate the volume of the spherical scoop of ice cream, which can be determined using the formula for the volume of a sphere: V = (4/3)πr³. Subsequently, we need to calculate the volume of the cone using the formula for the volume of a cone: V = (1/3)πr²h. We shall compare these volumes to find out the percentage of ice cream that must be eaten.
Let's calculate the volume of the sphere (ice cream):
V_s = (4/3)π(4 cm)³ = (4/3)π(64 cm³) = 256π/3 cm³
Now let's calculate the volume of the cone:
V_c = (1/3)π(4 cm)²(12 cm) = (1/3)π(16 cm²)(12 cm) = 64π cm³
To prevent overflow, the volume of melted ice cream should be the same or less than the volume of the cone. Therefore, the portion which would fit into the cone without overflowing when melted is:
percent = (V_c / V_s) × 100 = (64π / 256π/3) × 100 = 75%
This means that 75% of the ice cream must be eaten to ensure it does not overflow the cone when it melts.
What is the y-intercept of f(x)=-X^3+3x^2+1?
Answers
The y-intercept is
[tex](0,1)[/tex]
EXPLANATION
The given polynomial function is
[tex]f(x) = - {x}^{3} + 3 {x}^{2} + 1[/tex]
At y-intercept the value of x is zero.
Therefore we need to put
[tex]x = 0[/tex]
into the given polynomial function to determine the corresponding y-value.
[tex]f(0) = - {(0)}^{3} + 3 {(0)}^{2} + 1[/tex]
This will give us,
[tex]f(0) = 0 + 0+ 1[/tex]
We further simplify to obtain,
[tex]f(0) =1[/tex]
This means that when
[tex]x = 0[/tex]
the value of the function is
[tex]1[/tex]
Hence the y-intercept is
[tex](0,1)[/tex]
A rocking horse has a weight limit of 60 pounds .What weight is 95 percent of the limit?
Answers
Answer:
57 pounds weight is 95 percent of the limit .
Step-by-step explanation:
Formula
[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]
As given
A rocking horse has a weight limit of 60 pounds .
Here
Percentage = 95%
Total value = 60 pounds
Put in the formula
[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]
[tex]95 = \frac{Part\ value\times 100}{60}[/tex]
[tex]Part value = \frac{95\times 60}{100}[/tex]
[tex]Part value = \frac{5700}{100}[/tex]
Part value = 57 pounds
Therefore 57 pounds weight is 95 percent of the limit .
Answer:
57 pounds is 95 percent of the limit.
Step-by-step explanation:
Given the statement: A rocking horse has a weight limit of 60 pounds.
⇒Weight limit of rocking horse = 60 pounds.
To find what weight is 95 percent of the limit.
Let x be the weight.
then;
x = 95% of 60
[tex]x = \frac{95}{100} \times 60[/tex]
or
x = [tex]\frac{95 \times 60}{100} = \frac{5700}{100} = 57[/tex]
therefore, 57 pounds is 95 percent of the limit.
In ∆PQR, PQ = 39 cm and PN is an altitude. Find PR if QN = 36 cm and RN = 8 cm.
Answers
Use the Pythagorean theorem two times:
[tex]NQ^2+NP^2=QP^2\\\\36^2+h^2=39^2\\\\1296+h^2=1521\qquad\text{subtract 1521 from both sides}\\\\h^2=225\to h=\sqrt{225}\\\\\boxed{h=15\ cm}[/tex]
second time:
[tex]PR^2=RN^2+NP^2\\\\x^2=8^2+15^2\\\\x^2=64+225\\\\x^2=289\to x=\sqrt{289}\\\\\boxed{x=17\ cm}[/tex]
Answer: PR = 17 cm.Answer:
17 cm
Step-by-step explanation:
We must first find the length of the height, PN. Since PN is an altitude, it makes a right angle with QR; this means that PNQ will be a right triangle, as will PNR. This means we will use the Pythagorean theorem:
a²+b² = c²
Letting h represent PR (since it is the height),
h²+36² = 39²
h²+1296 = 1521
Subtract 1296 from each side:
h²+1296-1296 = 1521-1296
h² = 225
Take the square root of each side:
√(h²) = √(225)
h = 15
PN is 15 cm.
Now we will use it and the other "base," RN, to find PR:
15²+8² = x²
225+64 = x²
289 = x²
Take the square root of each side:
√(289) = √(x²)
17 = x
BRAINLIEST AND 39 POINTS
How many different 4-digit personal identification numbers (PINs) can be made from the digit 0 through 9 if no digits repeat?
Answers
You have 10 numbers to choose from, and you're choosing 4 from that pool. Order of the numbers matters, because having 1234 as a PIN is not the same having it be 1324, so we're counting the number of permutations of 10 digits taken 4 at a time. So there are
[tex]4!\dbinom{10}4=4!C(10,4)=4!C^{10}_4=\dfrac{10!}{(10-4)!}=5040[/tex]
possible PINs that can be made.
Answer:
5,040 PINs
Step-by-step explanation:
From the vast numbers from 1 to 10, the numbers can amount to over 5,040 PINs. Having to use the following equation in the attachment below (also found in the other question), the vast amount of numbers can either amount to 5,040 PINs, or possibly over that amount.
You need to have 10 numbers to choose from.
I hope this helps!
The expression shown is the cost a customer pays for an item, where c is the cost the store pays for the item and 0.85c is the 85% price increase the store adds to the item
Answers
Answer:0.85c
Step-by-step explanation:
Answer:
0.85c
Step-by-step explanation:
i did the diagnostic
Anna baked 33 batches of cookies with cc cookies in each batch. She then ate 88 cookies! How many cookies does Anna have left?
Answers
In 2000, Ohio's population was 11.4 million and and increasing by 0.5 million each year. Michigan's population was 9.9 million, increasing by 0.6 million each year. When will the two years have the same population? Let y represent the number of years.
Answers
Answer:-
[tex]11.4 + 0.5y = 9.9 + 0.6y[/tex] , then the two states have the same population.
Step-by-step explanation:
Let y represents the number of years
As per the statement:
In 2000, Ohio's population was 11.4 million and and increasing by 0.5 million each year.
⇒ [tex]11.4 + 0.5y[/tex]
and
also, it is given that: Michigan's population was 9.9 million, increasing by 0.6 million each year.
⇒ [tex]9.9 + 0.6y[/tex]
When two states have the same population.
then the equation : [tex]11.4 + 0.5y = 9.9 + 0.6y[/tex].
Answer:
In 15 years the population will be same.
Step-by-step explanation:
Let y represent the number of years.
In 2000, Ohio's population was 11.4 million and and increasing by 0.5 million each year.
[tex]x=11.4+0.5y[/tex]
Michigan's population was 9.9 million, increasing by 0.6 million each year.
[tex]x=9.9+0.6y[/tex]
We have to tell that when will the two years have the same population, so we will put both equations equal.
[tex]11.4+0.5y=9.9+0.6y[/tex]
=> [tex]11.4-9.9=0.6y-0.5y[/tex]
=> [tex]0.1y=1.5[/tex]
So, y = 15
Therefore, in 15 years the population will be same.
Right triangle ABC has side lengths 3,4 and 5. Do the side lengths form a Pythagorean triple? Explain.
Answers
Answer:
Yes, the side lengths of ΔABC forms a Pythagorean triple
Step-by-step explanation:
Given : A right angled triangle ABC
Side lengths - 3,4 and 5
To Find: . Do the side lengths form a Pythagorean triple?
Solution :
Hypotenuse (longest side) = 5
To check we need to use Pythagoras theorem :
[tex]Hypotenuse^{2} =Perpendicular^{2} +Base^{2}[/tex]
[tex]5^{2} =3^{2} +4^{2}[/tex]
[tex]25 =9 +16[/tex]
[tex]25 =25[/tex]
Since Pythagoras theorem is verified . So, the side lengths form the Pythagorean triplet.
Hence the side lengths of ΔABC forms a Pythagorean triple
144 flowers in a vase the ratio of yellow to pink flowers is 5 to 6 how many yellow flowers are in the vase
Answers
[tex] \frac{5}{11} \times 144 \: is \: the \: amount \: of \: yellow \: flowers \\ \\ \frac{5}{11} \times 144 = 65.45 = 65[/tex]
therfore there is 65 yellow flowers