one sticky note is a two dimensional shape, like all precious shape. describe or draw the shape you would get if you took a lot of sticky notes and stacked them perfectly on top of each other

Answer:

6 years

their average age now is 15

so, in six years the average age will be 21

Step-by-step explanation:

If im wrong you have my regrets

Answer:

y = 4

Step-by-step explanation:

8(y + 4) - 2(y - 1) = 70 - 3y ← distribute parenthesis and simplify left side

8y + 32 - 2y + 2 = 70 - 3y

6y + 34 = 70 - 3y ( add 3y to both sides )

9y + 34 = 70 ( subtract 34 from both sides )

9y = 36 ( divide both sides by 9 )

y = 4

Answer:

Step-by-step explanation:

Trigonometric  table has the value of the trigonometric ratio of Sin, Cos ,  Tan , Csc, Sec & Cot of the angles 0° , 30°, 45° , 60°, 90°

Cos 45 = \(\frac{1}{\sqrt{2} }\)

Tan 30 = \(\frac{1}{\sqrt{3} }\)

\(Csc 45 = \sqrt{2}\\\\\\Sec 60 = 2\)

Answer:

400:2500 , 40:250 ,and 4:25

We prefer t procedures to z procedures for inference about a population mean because t procedures are more appropriate when the population standard deviation is unknown.

1. When the population standard deviation is known, we use z procedures. However, in many cases, the population standard deviation is not known and needs to be estimated from the sample data.
2. The t procedures take into account this uncertainty in estimating the population standard deviation by using the sample standard deviation in the calculations.
3. This makes the t procedures more accurate and reliable for inference about a population mean when the population standard deviation is unknown.

Therefore, t procedures are preferred over z procedures for inference about a population mean because they provide more accurate results when the population standard deviation is unknown.

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Answer:

f^−1(x)=x/3+2/3

Step-by-step explanation:

im not 100% but its worth the try

Answer:

C: 122

Step-by-step explanation:

as in angle C (which is empty) is 122 degrees because I did the math.

The C in pentagon ABCDE is 122.

We know that each angle should be 90 degrees

Since there is 4 angles so total should be 450 degrees

So,

= 450 - 105 - 86 - 137

= 122 degrees

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Answer:

x=-3

Step-by-step explanation:

5x=12+3

5x=15

divide both sides by 5

x=3

Answer:

$19.68 for each foot

Step-by-step explanation:

Answer:

$19.68

Step-by-step explanation:

no <3

Answer:

2 miles

Step-by-step explanation:

10.2 (total amount of miles ran) - 2.2(fifth day) = 8m

8=miles ran in total for the first 4 days

8 miles / 4 days = 2 miles per day for the first 4 days

The correct answer is the value x such that: P(X ≥ x) = 0.95

(a) The sum of independent exponential variables with the same rate parameter follows a gamma distribution. In this case, since each T_i follows an exponential distribution with a rate parameter of 1/100 (mean of 100), the sum ∑_{i=1}^{10} T_i follows a gamma distribution with shape parameter k = 10 and scale parameter θ = 100. Therefore, ∑_{i=1}^{10} T_i ∼ Gamma(10, 100).

(b) To find the probability of successful operation for at least 1.5 years, we need to calculate the cumulative distribution function (CDF) of the gamma distribution at 1.5 years (547.5 days). Using the gamma CDF, denoted by F_X(x), we have:

P(X ≥ 547.5) = 1 - F_X(547.5)

Using the gamma CDF with shape parameter k = 10 and scale parameter θ = 100, we can calculate this probability.

(c) To determine the number of spares needed to be 95% sure of successful operation for at least two years, we need to find the point where the cumulative distribution function (CDF) of the gamma distribution is 0.95. In other words, we need to find the value x such that: P(X ≥ x) = 0.95

Using the gamma CDF with the appropriate shape and scale parameters, we can solve for x.

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Answer:

She swam 47 minutes yesterday

Answer:

i dont know ether

Step-by-step explanation:

me do do it'

The eigenvalues of the matrix [0 -3; 1 -2] with multiplicity two twice are 2, 2, and -3.

The matrix given is:

[ 0 -3 ]

[ 1 -2 ]

To find the eigenvalues of this matrix, we need to solve the characteristic equation:

det(A - λI) = 0

where A is the matrix, λ is the eigenvalue, and I is the identity matrix. Substituting the given matrix, we get:

det([0 -3; 1 -2] - λ[1 0; 0 1]) = 0

Simplifying the above expression, we get:

det([-λ -3; 1 -2 - λ]) = 0

Expanding the determinant, we get:

(-λ) * (-2 - λ) - (-3) * 1 = 0

Simplifying the above expression, we get:

λ^2 - 2λ + 3 = 0

Solving the above quadratic equation, we get:

λ = (2 ± √(-8)) / 2 = 1 ± i√2

Since the given matrix has multiplicity two for one of the eigenvalues, the correct answer is (c):

λ = 2 (multiplicity two) and λ = -3.

Therefore, the eigenvalues of the matrix [0 -3; 1 -2] with multiplicity two twice are 2, 2, and -3.

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Answer:

$7800

Step-by-step explanation:

1 year = 10%

3 years = 30%

30% = 0.3

6000 times 0.3 = $1800

6000 + 1800 = $7800

So, they will pay $7800

Answer:

Slope is -2 and y intercept is 3.5

Step-by-step explanation:

Basically you change it into slope intercept form by adding 3.5 on both sides to get y by itself, then you have the slope and the y intercept.

The  distance John would have to walk to get from point A to point B without going through the pond is 60.84 meters.

Since, John walks 36 m south and 49 m east which covered the distance equal to the hypotenuse of a right triangle

Using the Pythagorean theorem

c² = a² + b²

c² = 36² + 49²

c² = 1296 + 2401

c² = 3697

c = √3697

c = 60.84 m

Thus, the distance is 60.84 meters.

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Statement                                     Reason

∠1 = ∠2, WX = ZY                            Given

WP = ZP                                         converse of isosceles triangle  theorem

△WXP ≅ △ZYP                              SAS

XP = YP                                           CPCT

∠3 = ∠4                                          Isosceles triangle  teorem

What is the isosceles triangle?

A triangle's corresponding angles are congruent if its two sides are.

Given that ∠1 = ∠2, WX = ZY.

Statement 1 is given.

According to the converse of the isosceles triangle theorem:

WP = ZP  

SAS rule: If the two sides and an included angle of one triangle match the two sides and an included angle of the other, then two triangles are said to be congruent. This is referred to as SAS congruency.

In triangles △WXP and △ZYP:

∠1 = ∠2

WX = ZY.

WP = ZP

According to SAS rule,  △WXP ≅ △ZYP

By CPCT, XP = YP

Again the isosceles triangle theorem ∠3 = ∠4.

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Answer:

Rational numbers can be depicted on the number line. The centre of the number line is called Origin (O). Positive rational numbers are illustrated on the right side of zero (called origin), and negative on left side of origin. The representation of rational numbers on the number line depends on the type of fraction.

Step-by-step explanation:

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left. Here, fractions and decimals have been represented on the number line. A number line can also be used to represent both positive and negative integers as well.

The transformed equation is:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

We know that the graph of F(x) has the same shape of G(x) = x^2, but shifted to the left 2 units.

Remember that for a random function f(x), a shift of 2 units to the left is written as:

h(x) = f(x + 2).

Then, in this case, we can write:

F(x) = G(x + 2)

Replacing G(x), we can get the transformed equation:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

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Answer:

Y=3 over 2 -4

Step-by-step explanation:

Answer:

When the increase in demand is greater than the decrease in supply, the equilibrium price rises and the equilibrium quantity increases.

What is economic equilibrium?

Economic equilibrium, as used in economics, is a state in which forces such as supply and demand are in balance and where, in the absence of external influences, the values of economic variables will remain constant.

The equilibrium quantity rises if the rise in demand outweighs the fall in supply. The equilibrium quantity falls if the rise in demand is smaller than the fall in supply. Equilibrium price rises in each scenario.

The supply and demand curves move in opposition to one another. However, the supply curve shifted to the left while the demand curve shifted to the right (signalling a rise in demand) (indicating a decrease in supply).

In the case increase in demand > decrease in supply

In this instance, the supply curve's leftward movement is proportionally less than the rightward change of the demand curve. So, the price and the equilibrium quantity both increase.

Therefore, the equilibrium price and quantity increases.

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Answer:

C=0.55M+24.65

Step-by-step explanation:

0.40M+0.15M=0.55M

18.95+5.70=24.65

Answer:

x-7y

Step-by-step explanation:

7x-9y-6x+2y

Combine like terms

7x -6x    -9y +2y

x       -7y

x-7y

Answer:

x -7y

Step-by-step explanation:

7x - 9y - 6x + 2y

Rearrange so like terms are together (these are terms that are similar such as 5b and 7b; 7 and 1)

7x - 6x - 9y + 2y

Group into brackets one-by-one and solve

(7x-6x) -9y + 2y

x -9y + 2y

x (-9y + 2y)

x -7y

Note that 1x, 1b, 1z etc are simply written as their variable eg x, b and z

Answer:

10

Step-by-step explanation:

8 ÷ 4/5 = 10

I hope this helps!!

Answer: he would save (9) hours (44) minutes on an airplane.

Step-by-step explanation: its easy just subtract 11 &2 & you'll get 9 hours but you don't do anything with the 44 & 23 all you have to do is put down 9 - hours & 44 - minutes. it's a piece of cakeplease rate me with 5 stars & thank me & hit the little crown please and thank you and if you want to be friends we can just friend me please and thank you and your welcome!!!!

Answer:

x>2

Step-by-step explanation:

10(1-x) <-2x-6

10-10x<-2x-6

10-10x +2x<-6

-8x<-6-10

-8x<-16 (divide both sides)

x>2

Answer:

x>2

Step-by-step explanation:

1) 10-10x<-2x-6

2)10-10x-10<-2x-6-10

3) -10x<-2x-16

4)-10x+2x<-2x-16+2x

5) -8x<-16

6) (-8x)(-1)>(-16)(-1)

7) 8x>16

8) x>2

Answer:

-24x²

Step-by-step explanation:

remove the parentheses, multiply the numbers, apply exponent rule and add the numbers

Answer:

Your answer would be 12

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get you a better answer! :)