Find the multiplication inverse of 0.9

Answer:

\(10 + 2.50 w > 50\)

Step-by-step explanation:

Given

\(Start =10\)

\(Rate = 2.50\)

Total = More than 50

Required

Represent as an inequality

Represent the weeks with w.

So, his savings in w weeks is:

\(Savings = Start + Rate * w\)

\(Savings = 10 + 2.50 * w\)

\(Savings = 10 + 2.50 w\)

His saving is expected to be more than 50.

More than, here means greater than (>)

So, we have;

\(Savings > 50\)

\(10 + 2.50 w > 50\)

The common difference of the sequence is d = 2.

The total number of flowers Gloria is going to plant during September is 960.

Let d represent the arithmetic sequence's common difference. Therefore, Gloria plants 5 + 30d = 63 blooms on the last day of September. We obtain d = 2 by solving for d.

The sum of the arithmetic sequence represents the total number of flowers produced by Gloria plants in September. S = (n/2)(a1 + an) is the result of using the formula for the sum of an arithmetic series.

S is the sequence's total, n is its number of terms, a1 is its first term, and an is its last term. In this instance, n = 30 (because September has 30 days), a1 = 5, and a = 63. These variables are substituted, and the result is S = (30/2)(5 + 63) = 960.

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Answer:

640 im pretty sure

Step-by-step explanation:

Based on the given trajectory, the leading numerical coefficient is a negative number, hence, the graph of this function is a parabola opening downwards.

In a parabola opening downwards, the maximum value is the vertex of the parabola. So, in order to determine the maximum height, let's solve for the vertex of the parabola. The formula is:

where in the quadratic function is in the form of at² + bt + c = 0.

So, in the given trajectory function, a = -16, b = 88, and c = 5. Let's replace the variables in the formula above with their corresponding numerical value.

Then, solve.

Therefore, at t = 2.75 seconds, the t-shirt reached its maximum height.

So, to determine the maximum height, replaced "t" in the trajectory function with 2.75.

Hence, after 2.75 seconds, the t-shirt reached its maximum height which is 126 feet.

Since the maximum height of the t-shirt is 126 feet, then yes, there is a chance that the fans sitting in the bleachers 90ft above the field will catch a T-shirt.

The size of the crowd that is 5 feet deep on both sides of the street along a 2.7 -mile section of a parade route is 74,131 people.

The number of people that can fit comfortably in a 5 feet by 5 feet area = 13.

Therefore;

The ratio of the number of people per unit area = 13/(5 × 5) = 13/25

The area A occupied by the crowd = 5 feet × 2.7 mile × 2

2.7 miles = 14,256 feet

∴ A = 5 feet × 14,256 feet × 2 = 1,42,560ft²

We then have:

\(\frac{number\ of\ people}{1,42,560} = \frac{13}{25}\)

∴Number of people = 13/25 × 1,42,560 = 74,131.2 ≈ 74,131 people

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Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer:

C cluster

Step-by-step explanation:

just took it

#a

#b

#c

#d

#e

#f

Same like f(2)

#g

The only option for which the limit exist is option f, while for the other options the DNE.

"If the graph has a vertical asymptote and one side of the asymptote goes toward infinity and the other goes toward negative infinity, then the limit does not exist. If the graph has a hole at the x value c, then the two-sided limit does exist and will be the y-coordinate of the hole."

Let's check the values of the given quantity exist or not. Therefore, we can write,

(a) f(-2) = DNE

(b) \(\lim_{x \to \--2} f(x)\) = DNE

(c) f(0) = DNE because hole are exist

(d) \(\lim_{x \to \-0} f(x)\) = DNE

(e) f(2) = DNE

(f) \(\lim_{x \to \-2} f(x)\) = 0.5 (exist)

(g) f(4) = DNE

(h) \(\lim_{X \to \-4} f(x)\) = DNE

Hence, the only option for which the limit exist is option f.

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Answer:

given, y≥2x+1 and

y>

2

1

x−1

first, draw the graph for equations y=2x+1 and y=

2

1

x−1

for y=2x+1

substitute y=0 we get, 2x+1=0⟹x=−0.5

substitute x=0 we get, y=1

therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.

Hence, y≥2x+1 includes the region above the line.

for y=

2

1

x−1

substitute y=0 we get,

2

1

x−1=0⟹x=2

substitute x=0 we get, y=−1

therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.

Hence, y>

2

1

x−1 includes the region above the line.

the intersection region is the shaded region as shown in above figure which includes I, II and III quadrants.

Therefore, quadrant IV has no solution please make as brainlelist

Let m = miles traveled in 12 minutes.

2.2/m = 30/12

Cross-multiply here.

30m = (2.2)(12)

30m = 26.4

m = 26.4 ÷ 30

m = 0.88

In 12 minutes, 0.88 miles is traveled.

Step-by-step explanation:

There are 3 steps.

The height of each step is

The width of each step is

The length of each step is 2.4 m

a) The figure can be broken into 3 parts horizontally or vertically.

If broken horizontally, we get 3 rectangular prisms and their dimensions will be

b) The volume of concrete is

Answer:

Part (a)

2.4m × 0.4m × 0.6m

2.4m × 0.4m × 1.2m

2.4m × 0.4m × 1.8m

Part (b)

3.456 m³

Step-by-step explanation:

If each stair is the same length, width and height then:

Part (a)

The set of stairs can be broken into 3 rectangular prisms.

Divide the stairs by drawing vertical lines from the vertices (see attachment for annotated diagram).  Therefore each rectangular prism has the same length and width, but a different height.

Volume of a rectangular prism = L × W × H

Therefore, the dimensions of each solid figure (L × W × H) are:

Part (b)

To calculate the volume of concrete needed to form the stairs, sum the volumes of the rectangular prisms:

\(\begin{aligned}\implies \textsf{Volume of concrete} & = \sf (2.4 \times 0.4 \times 0.6) + (2.4 \times 0.4 \times 1.2) + (2.4 \times 0.4 \times 1.8)\\& = \sf 0.576 + 1.152 + 1.728\\&= \sf 3.456\:\:m^3\end{aligned}\)

Step-by-step explanation:

3:

h(x)=(-3x-15)/5

let y=(-3x-15)/5

interchanging role of x &y

x=(-3y-15)/5

5x+15=-3y

y=-(5x+15)/3

h-1(x)=-(5x+15)/3

not

equal to f(x)=(-3x-6)/4

Given function are not function of each other .

4:

g(x)=2/3x-2/3

let

y=2/3(x-1)

interchanging role of x &y

x=2/3(y-1)

3/2x+1=y

g-1(x)=3/2x+1

not equal to f(x)=½x+1

Given function are not function of each other .

Problem 1

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

Explanation:

One way to see if we have an inverse pair or not is to compute these two composite functions

If both result in x, and just that, then we have shown that they are inverses of one another.

f(x) = (2x)/3

f(x) = (2/3)x

f(g(x)) = (2/3)*g(x)

f(g(x)) = (2/3)*(3/2)x

f(g(x)) = x

The steps to show that g(f(x)) = x are very similar

g(x) = (3/2)x

g(f(x)) = (3/2)*f(x)

g(f(x)) = (3/2)*(2/3)*x

g(f(x)) = x

So this verifies that you have the correct answer.

======================================================

Problem 2

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

Explanation:

We'll use the same idea as problem 1

f(x) = 2 - (3/4)*x

f(g(x)) = 2 - (3/4)*( g(x) )

f(g(x)) = 2 - (3/4)*( (-4/3)x + 8/3 )

f(g(x)) = 2 - (3/4)*(-4/3)x  - (3/4)*(8/3)

f(g(x)) = 2 + x - 2

f(g(x)) = x

So far so good, but we need to check the other way around as well

g(x) = (-4/3)x + 8/3

g(f(x)) = (-4/3)*( f(x) ) + 8/3

g(f(x)) = (-4/3)*( 2 - (3/4)*x ) + 8/3

g(f(x)) = (-4/3)*(2) + (-4/3)*(-3/4)*x + 8/3

g(f(x)) = -8/3 + x + 8/3

g(f(x)) = x

This verifies that f(x) and g(x) are inverses of each other.

Problems 3 and 4 will have similar steps.

Answer:

denominator

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

2/3×2/2 + 1/6

4/6 + 1/6

5/6

The expected queue size is 0.75 tracks waiting to be serviced by the transport company.

To calculate the expected queue size, we need to use Little's Law, which states that: Average queue size = Average arrival rate x Average time in queue

The average arrival rate can be calculated from the interarrival time, which follows an exponential distribution. The mean interarrival time is equal to 1/30 days, or 0.0333 days.

The average time in queue can be calculated from the service time, which is also exponential with a mean of 36 minutes. To convert this to days, we divide by the number of minutes in a day (1440). This gives a mean service time of 0.025 days (36/1440).

Therefore, the average queue size can be calculated as:

= Average arrival rate x Average time in queue

= 1/0.0333 x 0.025

= 0.75 tracks.

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Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.

P(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)

P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)

Using a calculator or software, we can find that:

P(X <= 4) = 0.000203

This means that the probability is 0.02%.

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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?

It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

The compound inequality representing the range for the skull size of cats is: 39.32 ≤ x ≤ 43.01.

To find the compound inequality that represents the range for the skull size of cats, we need to solve the given compound inequality:

8 ≤ 1.03x - 32.4 ≤ 12

Let's solve it step by step:

Add 32.4 to all parts of the compound inequality:

8 + 32.4 ≤ 1.03x - 32.4 + 32.4 ≤ 12 + 32.4

40.4 ≤ 1.03x ≤ 44.4

Divide all parts of the compound inequality by 1.03 (the coefficient of x):

40.4/1.03 ≤ (1.03x)/1.03 ≤ 44.4/1.03

39.32 ≤ x ≤ 43.01

Therefore, the range for the skull size of cats can be represented by the compound inequality:

39.32 ≤ x ≤ 43.01

Rounded to the nearest hundredth, the compound inequality representing the range for the skull size of cats is:

39.32 ≤ x ≤ 43.01

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Answer:

No

Step-by-step explanation:

It does not make sense becuse 6x9=54

And 4x9(2)=72 so it would make no sense

Answer: A (1 1/4)

Step-by-step explanation: trust me

Answer:

1 1/4

Step-by-step explanation:

3/4+1/2=

3/4+2/4=

5/4=
1 1/4

The vertex of the function f(x)−4=(x+1)2 is (-1, 4).

What is the vertex of the function?

In mathematics, the vertex of a function is the highest or lowest point on the graph of a quadratic function. The vertex can be expressed in the form (h, k), where h represents the x-coordinate of the vertex and k represents the y-coordinate of the vertex.

The given function is in vertex form, which is f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Comparing with the given function, we have:

a = 1

h = -1

k = 4

Therefore, the vertex of the function f(x)−4=(x+1)2 is (-1, 4).

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Answer:

64 guarts of ice-cream

8/5 quarts of ice-cream = 1/4 cake

x guarts of ice-cream = 10 cakes

cross multiply and find x you'd get 64

The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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Answer:

0

Step-by-step explanation:

\(2\sqrt[3]{(1-3x)} =6-4=2\\\sqrt[3]{(1-3x)}=\frac{2}{2} =1\\\sqrt[3]{(1-3x)}^{3} =1^{3} \\(1-3x)=1\\-3x=0\\x=0\)

The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

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Answer:

A deduction can only lower your taxable income and the tax rate that is used to calculate your tax. This can result in a larger refund of your withholding. A credit reduces your tax giving you a larger refund of your withholding, but certain tax credits can give you a refund even if you have no withholding.

Step-by-step explanation:

Answer:

The value of m is 70°. m is inscribed angle and inscribed angle is exactly half of central angle. where central angle is 140°.

Answer:

Step-by-step explanation: