Jackie buys 6 packs of 100 post-its, 4 packs of 10 post-its, and 4 fancy post-its by themselves.
Then, her friend gives her 3 more fancy post-its. How many post-its does she have now?

Answer:

1 2/6

Step-by-step explanation:

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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The sequence is geometric, so

\(a_n = r a_{n-1}\)

for some constant r. From this rule, it follows that

\(a_3 = r a_2 \implies 20 = 2r \implies r = 10\)

and we can determine the first term to be

\(a_2 = r a_1 \implies 2 = 10 a_1 \implies a_1 = \dfrac15\)

Now, by substitution we have

\(a_n = r a_{n-1} = r^2 a_{n-2} = r^3 a_{n-3} = \cdots\)

and so on down to (D)

\(a_n = r^{n-1} a_1 = 10^{n-1} \cdot \dfrac15\)

(notice how the exponent on r and the subscript on a add up to n)

Answer:. 30 : 48

40:64

Step-by-step explanation: The hint is in the table where the rows highlighted in pink, multiples of 5 and 8, contain the values of the original given ratio, 10:16

Equivalent ratios include any of the corresponding values in columns AND that are in the pink rows.

5:8, 10:16, 15:24, 20:32 . . .

We can see the pattern; pairs of multiples of the factors of the numbers in the original ratio are equivalent ratios.

Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

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The answer that correctly fills the missing portions is option A.

The full sentence is: When the Bureau of Labor Statistics (BLS) calculates an increasing Consumer Price Index (CPI); the Federal Reserve (FED) may choose to Quantitative Easing.

Quantitative easing is a monetary policy operation in which a central bank buys government bonds or other financial assets to infuse monetary reserves into the economy in order to encourage economic activity.

The goal of QE is to level the playing field in order to make spending and investing money more enticing and accessible to people. Lower interest rates may improve the possibility that company and civilian borrowers will borrow to make purchases, promoting economic activity.

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Full Question:

When the ___ calculates an increasing ___ ; the ___ may choose to decrease______.

A) BLS, CPI. FED, QE

B) OECD, QE, BLS, CPI

C) BEA, GDP, BLS, CPI

D) BEA, CPI, OECD, GDP

Answer:

see below

Step-by-step explanation:

The parallelogram on the left has an area of

A = bh

A = 7*4 = 28 ft^2

The rectangle on the right has an area of

A = bh

A = 8*15 = 120 cm^2

Step-by-step explanation:

For the parallelogram

Area of a parallelogram = b × h

where

b is the base

h is the height

From the question

b = 7 ft

h = 4 ft

So the area is

For the rectangle

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

l = 15 cm

w = 8 cm

So the area is

Hope this helps you

Answer: $1400 / year

Step-by-step explanation:

Let's start by finding the difference in the new car and the price 8 years later:

$19200 - $8000 = $11200

This means the car depreciated by $11200 over 8 years. We divide this by the 8 years:

$11200 / 8 years = $1400.

This means the car changed by an average of $1400 each year.

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

(-3, -7) is a solution

Step-by-step explanation:

3x + 2y = -23

Plug in the point (-3, -7)

It's a solution if it equals -23

3(-3) + 2(-7)

Multiply

-9 + (-14)

Add

-23

Therefor (-3, -7) is a solution

Answer:

A

Step-by-step explanation:

DE is the shortest side because it's is opposite to the smallest angle (<F)

180 - 60 = 3X +2X + 5,

X = 23

<F = 2*(23) +5 = 51

Answer:

ŷ = 2100X - 4166040

Step-by-step explanation:

Sum of X = 10075

Sum of Y = 327300

Mean X = 2015

Mean Y = 65460

Sum of squares (SSX) = 10

Sum of products (SP) = 21000

Regression Equation = ŷ = bX + a

b = SP/SSX = 21000/10 = 2100

a = MY - bMX = 65460 - (2100*2015) = -4166040

ŷ = 2100X - 4166040

sorry you had to wait awhile for someone to answer :(

Answer: Complementary.

Step-by-step explanation:

Answer:

5250

i hope this is right.

Answer:

5250

Step-by-step explanation:

person on my top got it ^

The operation that will result in a trinomial for the given expression is subtraction operator ( - ).

A trinomial is an algebraic expression that has three terms. It is also a polynomial consisting of three terms or monomials.

The given polynomial expression;

( 4x⁵ - 8x ) ?  (3x² - 8x + 9 )

To simplify the given polynomial expression into trinomial, we will use the following operation.

The chosen operation will be such that, we will have only three terms left after simplification.

So we will choose subtraction operator "-"

( 4x⁵ - 8x ) -  (3x² - 8x + 9 )

= 4x⁵ - 8x  - 3x² + 8x - 9

simplify further; (-8x and +8x will cancel out)

= 4x⁵ - 3x² - 9

Finally, we have our desired trinomial as 4x⁵ - 3x² - 9.

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Answer:

  d = 23 1/3

Step-by-step explanation:

You want to solve the proportion (0.3d -1)/(3 1/3) = (0.84)/(7/15).

  \(\dfrac{0.3d-1}{3\dfrac{1}{3}}=\dfrac{0.84}{\dfrac{7}{15}}\qquad\text{given}\\\\\\\dfrac{3(0.3d-1)}{10}=\dfrac{15(0.84)}{7}\qquad\text{invert and multiply}\\\\0.09d -0.3=1.8\qquad\text{simplify}\\\\0.09d = 2.1\qquad\text{add 0.1}\\\\d=\dfrac{2.10}{0.09}=\dfrac{70}{3}\qquad\text{divide by 0.09}\\\\\boxed{d=23\dfrac{1}{3}}\)

__

Check

  (0.3·(70/3) -1)/(3 1/3) = 0.84/(7/15)

  (7 -1)/(10/3) = 1.8

  6(3/10) = 1.8 . . . . . . true

Answer: 23 1/3

Step-by-step explanation:

The parametric equations for the tangent line to the curve at the given point are x = 1 - 7e−7cos(6)t + 6e−7sin(6)t, y = -7e−7sin(6)t - 6e−7cos(6)t, and z = 1 - 7e−7t.

The given parametric equations are x = e−7t cos(6t), y = e−7t sin(6t), z = e−7t, and the point is (1, 0, 1).

We can find the tangent line in two steps. First, we'll find the slope at the given point (1, 0, 1). Second, we'll use the point-slope form of a line equation to find the equation of the tangent line.

At the given location, determine the slope.

We can find the slope by taking the partial derivative of each coordinate with respect to t.

∂x/∂t = -7e−7tcos(6t) + 6e−7tsin(6t)

∂y/∂t = -7e−7tsin(6t) - 6e−7tcos(6t)

∂z/∂t = -7e−7t

Evaluating these derivatives at t = 1, we find:

∂x/∂t = -7e−7cos(6) + 6e−7sin(6)

∂y/∂t = -7e−7sin(6) - 6e−7cos(6)

∂z/∂t = -7e−7

At the given point, x = 1, y = 0, and z = 1.

Thus, the slope of the tangent line is:

m = (∂x/∂t, ∂y/∂t, ∂z/∂t) = (-7e−7cos(6) + 6e−7sin(6), -7e−7sin(6) - 6e−7cos(6), -7e−7)

Use the point-slope form of a line equation to find the equation of the tangent line.

The point-slope form of a line equation is:

r(t) = r₀ + m*t

Where r₀ is the point and m is the slope.

Thus, the equation of the tangent line is:

r(t) = (1, 0, 1) + (-7e−7cos(6) + 6e−7sin(6), -7e−7sin(6) - 6e−7cos(6), -7e−7)*t

Simplifying, we find:

x = 1 - 7e−7cos(6)t + 6e−7sin(6)t

y = -7e−7sin(6)t - 6e−7cos(6)t

z = 1 - 7e−7t

Therefore, the parametric equations for the tangent line to the curve at the given point are x = 1 - 7e−7cos(6)t + 6e−7sin(6)t, y = -7e−7sin(6)t - 6e−7cos(6)t, and z = 1 - 7e−7t.

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The parametric equations for the tangent line to the curve with the given parametric equations at the point (1,0,1) are:

x = 1 + e^-7t * (-7cos(6t) + 6sin(6t))

y = e^-7t * (-7sin(6t) - 6cos(6t))

z = e^-7t

The tangent line at a given point on a curve is a line that is locally closest to the curve at that point. To find the tangent line, we need to first find the derivative of the curve at the given point and then use it to find the slope of the tangent line. In this case, the given curve is a parametric equation and we can find the partial derivatives with respect to the parameter t.

Next, we use the partial derivatives to calculate the slope of the tangent line at the given point. Finally, we use the slope and the given point to write the parametric equations of the tangent line.

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Answer: The surface area of the triangular prism is 1071 square millimeters.

Step-by-step explanation:

To find the surface area of a triangular prism, we need to add up the areas of all its faces.

The triangular face has a base of 18 mm and a height of 12 mm, so its area is:

(1/2) * 18 mm * 12 mm = 108 mm^2

There are two of these triangular faces on either end of the prism, so their combined area is:

2 * 108 mm^2 = 216 mm^2

The other three faces are all rectangles, with a length of 19 mm and a height of 15 mm. The area of each rectangle is:

19 mm * 15 mm = 285 mm^2

There are three of these rectangular faces, so their combined area is:

3 * 285 mm^2 = 855 mm^2

To find the total surface area of the triangular prism, we add up the areas of all its faces:

Total surface area = 216 mm^2 + 855 mm^2 = 1071 mm^2

Therefore, the surface area of the triangular prism is 1071 square millimeters.

\(\\ \sf\longmapsto tan\Theta=\dfrac{Perpendicular}{Base}\)

\(\\ \sf\longmapsto tanC=\dfrac{AB}{AC}\)

\(\\ \sf\longmapsto tanC=\dfrac{48}{64}\)

\(\\ \sf\longmapsto tanC=\dfrac{3}{4}\)

Answer:

a. y = 2x + 1: Not from x to y

b.1 = 2y – 4x: Not from x to y

c. y^2 – 1 = x: This is a function from x to y

Step-by-step explanation:

We are to determine whether or not the equations are function from x to y

Given the function y = f(x)

y is a dependent variable while the input variable is an independent variable. So we can say y is a function from y to x.

Also x = f(y) can be expressed as equation of a function from x to y i.e x is dependent and the input variable is independent

From tthe following options, the equation that is a function from x to y is

y² – 1 = x

This can also be written as x = y² – 1 where f(y) is y² – 1

The rest are not a function of x to y but otherwise unless re-written

The estimate of the sum of the points is 47/45

From the question, we have the following parameters that can be used in our computation:

Points = 6/10 and 4/9

Using the given number line (see attachment), we have the sum expression to be

Sum = 6/10 + 4/9

Evaluate the sum

So, we have the following representation

Sum = 94/90

Simplify

Sum = 47/45

Hence, the sum of the points is 47/45

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Answer:

It is forsure A has to be

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Square roots are 5 and 6

since you cannot simplify 5/6 anymore, that is the answer

5x-30y=-35

Divide both the side by 5 and we get

x-6y = -7

x = 6y -7

Answer:

x=-7+6y

You simply need to add 30y and then divide by 5 to isolate the variable.

The solution to the differential equation in this problem is given as follows:

y(t) = Ae^(3t) + Be^(2t).

The differential equation for this problem is given as follows:

y'' - 5y' + 6 = 0.

It is a simple linear and homogeneous second order differential equation, hence it can be solved with the characteristic equation method.

The characteristic equation for the differential equation is given as follows:

r² - 5r + 6 = 0.

The roots for the characteristic equation are obtained by finding the linear factors and using the factor theorem as follows:

(r - 3)(r - 2) = 0.

Hence:

These are real and non-repeated roots, hence the solution is given as follows:

y(t) = Ae^(3t) + Be^(2t).

In which A and B are constants depending on the initial conditions for the differential equation.

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Answer:

L = 5\(\sqrt{10}\)

Step-by-step explanation:

use Pythagorean Theorem:

L² + (5\(\sqrt{2}\))² = (10\(\sqrt{3}\))²

L² + 25(2) = 100(3)

L² + 50 = 300

L² = 250

L = \(\sqrt{250}\) = \(\sqrt{25}\) · \(\sqrt{10}\) = 5\(\sqrt{10}\)

Answer:

by Pythagoras law

(10√3)²=l²+(5√2)²

100×3-25×2=l²

l²=25o

l=√250=5√10

:.l=5√10

The angles that we have in the image here are:

When two angles are measured, they sum up to 180. They are said to be supplementary angles.

On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.

This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.

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well, the interest is going to be the increase factor on both cases, so we can simply check how much each will accumulate to in those 4 years

\(~~~~~~ \stackrel{\textit{\LARGE University Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}\)

\(A = 4000\left(1+\frac{0.05}{4}\right)^{4\cdot 4} \implies A=4000(1.0125)^{16}\implies \boxed{A \approx 4879.56} \\\\[-0.35em] ~\dotfill\)

\(~~~~~~ \stackrel{\textit{\LARGE Rosemont Savings Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &4 \end{cases}\)

\(A = 4000\left(1+\frac{0.055}{2}\right)^{2\cdot 4} \implies A=4000(1.0275)^8\implies \boxed{A \approx 4969.52} ~~ \textit{\LARGE \checkmark}\)

Answer:

1.15m/s

Step-by-step explanation:

Given data

m1=0.025 kg

m2= 2.35kg

u1= 217 m/s

v1= 109 m/s

u2= 0

v2=???

Applying the law of conservation of linear momentum

m1u1+m2u2=m1v1+m2v2

substitute

0.025*217+2.35*0= 0.025*109+2.35*v2

5.425= 2.725+ 2.35v2

5.425-2.725=2.35v2

2.7=2.35v2

divide both sides by 2.35

v2= 2.7/2.35

v2=1.15 m/s

Hence the speed of the watermelon will be 1.15m/s