There is a 2% sales tax on all food items. What will be your final price if you purchase the items below? - Greek Yogurt for $3.88 - Frozen Pizza for $4.98 - Popcorn for $1.18

Answer:

8x

Step-by-step explanation:

Because you are adding the (x+3) there you can immediately you the association property to simplify

(2x + 5x + x) + (3 - 3)

8x + 0 =

8x

Answer:

\((\frac{3}{8} )^{-2} (\frac{1}{3}* \frac{3}{8})^3 ( \frac{1}{3} )^4\)

\((\frac{3^-2}{8^-2} ) (\frac{1^3}{3^3}* \frac{3^3}{8^3}) ( \frac{1^4}{3^4} )\)

\((\frac{64}{9} ) (\frac{1}{27}* \frac{27}{512}) ( \frac{1}{81} )\)

\((\frac{64}{9} ) (\frac{1}{512}) ( \frac{1}{81} )\)

Simplifies to= \(\frac{1}{5832}\)

Answer:

you dont have to answer hte tutorials jus submit it they dont see it uwu

Step-by-step explanation:

The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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The topmost common factor of 6 and 30 is 6.

To find the topmost common factor( GCF) of 6 and 30.

We can determine the factors of both figures and identify the largest factor they've in common.

The factors of 6 are 1, 2, 3, and 6.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

From the common factors listed over, the largest factor that both 6 and 30 share is 6.

Thus, the topmost common factor of 6 and 30 is 6.

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Using percentage and equations, Greg has 734 songs, Raj has 426 songs and Mark has 720 songs

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent symbol, "%". For example, 45% (read as "forty-five percent") is equal to 45/100, or 0.45. Percentages have no dimension, which it's why they are dimensionless number. for example 60% of a number, then it means 60 per cent of its whole.

In this problem, we can write an equations and solve to determine the number of songs Greg has on his computer.

Let;

Since Mark has 720 songs in his computer;

x = 14 + 720

x = 734

Greg has 734 songs

We can calculate the number of songs Raj has by;

y = 60%(720) - 6

y = [(0.6) * 720] - 6

y = 426

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Answer:

\(f^{-1} (x)\)=\(\frac{4}{1+x}\)

Step-by-step explanation:

The first step is to switch y for x and x for y so the equation will look like

x=\(\frac{4-y}{y}\)

the next thing you do is isolate y so you have to multiply y to both sides to get

\(xy=4-y\) now you got to add y to both sides which would get you

xy+y=4

since xy and y share a y value you have to try and factor out y which would get you

y(x+1)=4

the final step is to divide x+1 on both sides

y\(\frac{(x+1)}{x+1}\)=\(\frac{4}{x+1}\)

which since x+1 and x+1 crosses each other out we are left with

y=\(\frac{4}{1+x}\)

Answer:

Step-by-step explanation:

it does not show the problem

The result is not equal to zero, (x - 10) is not a factor of x² + 3x - 40.

None of the given expressions (A, B, C, D) are factors of x² + 3x - 40.

To determine which expression is a factor of the given quadratic expression, we need to check if substituting the value from each expression into the quadratic expression results in zero. Let's evaluate each option:

A. (x - 4)

Substituting x - 4 into x² + 3x - 40:

(x - 4)² + 3(x - 4) - 40 = x² - 8x + 16 + 3x - 12 - 40 = x² - 5x - 36

Since the result is not equal to zero, (x - 4) is not a factor of x² + 3x - 40.

B. (x - 5)

Substituting x - 5 into x² + 3x - 40:

(x - 5)² + 3(x - 5) - 40 = x² - 10x + 25 + 3x - 15 - 40 = x² - 7x - 30

Since the result is not equal to zero, (x - 5) is not a factor of x² + 3x - 40.

C. (x - 8)

Substituting x - 8 into x² + 3x - 40:

(x - 8)² + 3(x - 8) - 40 = x² - 16x + 64 + 3x - 24 - 40 = x² - 13x

Since the result is not equal to zero, (x - 8) is not a factor of x² + 3x - 40.

D. (x - 10)

Substituting x - 10 into x² + 3x - 40:

(x - 10)² + 3(x - 10) - 40 = x² - 20x + 100 + 3x - 30 - 40 = x² - 17x + 30

Since the result is not equal to zero, (x - 10) is not a factor of x² + 3x - 40.

None of the given expressions (A, B, C, D) are factors of x² + 3x - 40.

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Answer:

7 millimeters

Step-by-step explanation:

\( {7 }^{2} = 49\)

Answer:

Below

Step-by-step explanation:

We can identify transformations from an equation by checking to see which variables and signs exist, and which ones don't. For example, the presence of an a value tells us that this identity has undergone a vertical stretch or compression. We can also look at the signs of the equation to see which way the identity has been reflected or shifted. For example, the presence of a negative symbol in front of the a value tells us that this identity has been reflected in the x-axis. Horizontal translations use different or opposite signs to where they are being shifted. For example, an identity that has been shifted 4 units left is written as ( x + 4 ), even though it's in a negative area. Similarly, an identity that has been shifted 4 units right into a positive area is written as ( x - 4 ), even though it's in a positive area. Vertical translations are written in the exact same way they show up on a graph. For example if an identity has been shifted 4 units UP, then we would write it as +4. Shifted down would be - 4.

I'm not great at explaining things, but I tried my best to cover everything! Make sure you change some things around!

The period of the given trigonometric function is: 20.

The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.

Sine and cosine functions start repeating the same pattern of y-axis values after every 2(pi). The period is defined as just the distance on the x-axis before the pattern repeats.

Now, looking at the trigonometric graph, we see that the x-interval for which the graph repeats itself is 20

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Answer:

Step-by-step explanation:

It would cost $122.50 for admission to the museum and 55 special exhibits.

Part A: To represent the cost of admission to the museum including admittance to n special exhibits, you can use the expression:
Expression: 12.50 + 2.00n

Part B: To find the cost for admission to the museum and 55 special exhibits, plug in 55 for n in the expression from Part A:
Cost = 12.50 + 2.00(55)
Cost = 12.50 + 110
Cost = 122.50

So, it would cost $122.50 for admission to the museum and 55 special exhibits.

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The number of the marbles each of them have are 12.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Janae and Jerome each have m marbles. Gwen has 4(m + 2) marbles. John has 8m + 4 marbles.

The number of marbles will be calculated as:-

4(m + 2) = 8m + 4

4m + 8 = 8m + 4

4m = 4

m = 1

Gwen = 4(m + 2) = 4 ( 1 + 2 ) = 12

John  = 8m + 4 = 8 +  4 = 12

Hence, the number of the marbles each of them have are 12.

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\(1000^m / 100^n\) can writen as \(10^z\) where z = 3m - 2n in terms of  ^m and ^n evaluated using exponential law.

1000 can be written as \(10^3\) and 100 as\(10^2\). So it looks like this:

\(1000^m / 100^n = (10^3)​​^m / (10^2)^n\)

Utilizing the exponential control law (that's, \((a^b)^c = a^(b*c)),\)

A power law may be a numerical expression that depicts the relationship between two factors, where one variable changes exponentially with changes within the other.  In particular, the power law can be expressed as

\(y = ax^b\)

where y= dependent variable, x = independent variable, a=constant, and b = power law exponent. This condition implies that the subordinate variable increments (or diminishes) exponentially as the free variable increments.

Control laws are commonly utilized to show marvels in different areas such as material science, science, financial matters, and social sciences. For example, it can represent the relationship between city size and economic activity, population growth over time, or the relationship between earthquake intensity and frequency. 

we can simplify this expression to

\((10^3)​​^m / (10^2)^n = 10^(3m) / 10^(2n) = 10^(3m - 2n)\)

Therefore z = 3m - 2n. 

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Answer:

  22√3 inches

Step-by-step explanation:

You want to know the length of the longer leg of a 30°-60°-90° triangle when the hypotenuse is 44 inches.

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

This means the longer leg is (√3)/2 times the length of the hypotenuse.

In the given triangle, the longer leg is ...

  (44 in)(√3)/2 = 22√3 in

Answer:

Write the point slope form of the equation of the line that passes through the points (5,-9).

---

slope = m = (1--9)/(-6-5) = 10/-11 = -10/11

-------------------

Form:: y = mx + b

Solve for "b"::

-9 = (-10/11)5 + b

-------

Step-by-step explanation:

ur really pretty btw :p

The approximation found in part (b) is an underestimate for f(0.25).

Given that f′(x) > 0 and f′′(x) < 0 on the interval 0 ≤ x ≤ 0.25, we can infer some properties of the function f(x). Since f′(x) > 0, it means that the function is increasing on the interval. Additionally, since f′′(x) < 0, it implies that the rate of increase is decreasing, indicating concave downward behavior.

To determine if the approximation in part (b) is an overestimate or an underestimate for f(0.25), we need to consider the concavity of the function. An underestimate occurs when the approximation falls below the actual value, while an overestimate occurs when the approximation is above the actual value.

Given that the function is concave downward (f′′(x) < 0), the graph of the function is curved in a way that lies below a straight line connecting the points on the graph. As a result, the approximation in part (b),

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Answer:

its c

Step-by-step explanation:

Answer:

I'm not sure if this what your looking for as an answer, but I hope it helped!

The function h(x) is given as the power series:

=h(x) = x³ + (x⁴/3) + (x⁵/5) + (x⁶/7) + (x⁷/9) + ...

Part A: To determine the interval of convergence, we use the ratio test:

lim(n→∞) |(x^(n+4))/(2(n+2)+1) * (2n+1)/(x^n+3)| = lim(n→∞) |x|^2/2 = |x|^2/2

The ratio test tells us that the series converges if |x|²/2 < 1 and diverges if |x|²/2 > 1. Therefore, the interval of convergence is -√2 < x < √2.

Part B: To find h′(−1), we differentiate the power series term by term:

h′(x) = 3x² + 4x³/3 + 5x⁴/5 + 6x⁵/7 + 7x⁶/9 + ...

h′(−1) = 3(−1)² + 4(−1)³/3 + 5(−1)⁴/5 + 6(−1)⁵/7 + 7(−1)⁶/9 + ...

= 3 − 4/3 + 1/5 − 6/7 + 1/9 − ...

= ∑(n=0 to ∞) (−1)^n * (2n+3)/(2n+1)

We can use the alternating series test to show that the series converges. The terms decrease in absolute value, and the limit of the terms approaches zero. Therefore, h′(−1) converges.

The relationship between the radius of convergence and interval of convergence of h(x) and h′(x) is that the radius of convergence of h′(x) is the same as that of h(x), but the interval of convergence may be different due to the behavior at the endpoints.

Part C: To determine if h(x²) has any points of inflection, we differentiate twice:

h(x²) = (x²)³ + ((x²)⁴/3) + ((x²)⁵/5) + ((x²)⁶/7) + ((x²)⁷/9) + ...

h′(x) = 3x⁴ + 4x⁵/3 + 5x⁶/5 + 6x⁷/7 + 7x⁸/9 + ...

h″(x) = 12x³ + 20x⁴/3 + 30x⁵/5 + 42x⁶/7 + 56x⁷/9 + ...

We can see that h″(x) is always positive, so h(x²) does not have any points of inflection.

Answer:

8

Step-by-step explanation:

3/5 ×2=8/10

..............

Answer:

24 cm^2

Step-by-step explanation:

Find Side Length:  

20cm/4 = 5cm

Use x:  

First Diagonal - 4x; Second Diagonal = 3x  

Pythagorean Theorem:  

a^2 + b^2 = c^2  

Use Pythagorean Theorem:

a = 1/2 of First Diagonal  

b = 1/2 of Second Diagonal  

c = Side Length  

2x^2 + 1.5x^2 = 5^2

4x^2 + 2.25x^2 = 25  

6.25x^2 = 25

x^2 = 4

x = 2  

Formula for Area of Rhombus:

1/2 * First Diagonal * Second Diagonal

Use Formula for Area of Rhombus:

1/2 * 4(2) * 3(2)

= 1/2 * 8 * 6  

= 4 * 6

= 24 cm^2

Total gasoline = 10 gallons

Gasoline left after 100 miles = 5 gallons

Gasoline used in 100 miles

= Total gasoline - Gasoline left after 100 miles

= 10 gallons - 5 gallons

= 5 gallons

Gasoline used in 1 mile

= Gasoline used in 100 miles/100

= 5 gallons/100

= 0.05 gallons

These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

14S -93

Step-by-step explanation:

(4s+7 -2S) +4 (3s-5^2)

= 2S +7 +12S -4*25

=14S -93

Answer:

-24

Step-by-step explanation:

4(x + 2 - 5x)

Combine like terms

4( -4x+2)

Let x =2

4 ( -4*2 +2)

4 ( -8+2)

4 ( -6)

-24

Answer:

The percentage change in volume from cylinder A to cylinder B is 50% volume increased by 50% option (C) is correct.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the formula for the volume of the cylinder is given by:

We have r = 10 inches and h = 5 inches

V = 500π cubic inches

Percent change in volume from cylinder A to cylinder B:

= 50%

Thus, the percentage change in volume from cylinder A to cylinder B is 50% volume increased by 50% option (C) is correct.

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Step-by-step explanation: