which graph of y = a•b^x has a>1 and 0

Answer:

[tex]\text{Slope} \; m = \dfrac{11}{6}[/tex]

Step-by-step explanation:

[tex]m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x}[/tex]

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \dfrac{-1/4 - 5/2}{-1/2 - 1}[/tex]

[tex]m = \dfrac{\dfrac{-11}{4}}{\dfrac{-3}{2}}[/tex]

[tex]m = \dfrac{-11}{4} \times \dfrac{2}{-3}[/tex]

[tex]m = \dfrac{-22}{-12}[/tex]

[tex]m = \dfrac{11}{6}[/tex]

Answer:i think -81

Step-by-step explanation:3x (-3) = -9.        -9x(-3)=27.       27x(-3)= -81

Answer:

93 million

Step-by-step explanation:

93 Million

The value of n (S) is 5, n (T) is 7, n (∪) is 11 and n (∩) is 1. The solution has been obtained by using the given sets.

What is a set?

Sets are represented as a collection of well-defined objects or elements and it does not change from person to person. A set is symbolised by a capital letter. The number of items in the finite set is known as the cardinal number of a set.

We are given two sets as S = {r, e, l, a, x} and T = {i, t, s, o, k, a, y}.

Now,

n (S) = 5

This is because there are 5 elements in this set.

n (T) = 7

This is because there are 7 elements in this set.

S ∪ T = {r, e, l, a, x, i, t, s, o, k, y}

n (∪) = 11

This is because there are 11 distinct elements in the sets.

S ∩ T = {a}

n (∩) = 1

This is because there is only 1 element common in the sets.

Hence, the required solution has been obtained.

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Answer:

x = 52

Step-by-step explanation:

The angle x is vertical angle to the 52° angle. Meaning they have the same measurement.

Looking at the options, the answer is x = 52.

Answer:

To solve for x, we can start by cross-multiplying the equation to eliminate the denominators:

(a+bx)(c+d) = (c+dx)(a+b)

Expanding the terms on both sides:

ac + adx + bc + bdx^2 = ac + abx + cdx + bd

Simplifying and rearranging the terms:

adx + bdx^2 - abx - cdx = bd - ac

dx(ad - ab - c) = bd - ac

Now, since we know that cb=ad, we can substitute ad=cb into the equation:

dx(cb - ab - c) = bd - ac

dx(cb - ab - c) = b(cd - ac)

x = b(cd - ac)/(d(cb - ab - c))

Therefore, the solution for x is:

x = b(cd - ac)/(d(cb - ab - c))

The area of the felt is (5L - 4W - 5) / 4 (inches)².

What is an area?

To find the area of the felt, we need to know the dimensions of the picture and the frame.

Let's say the length of the frame is L and the width of the frame is W.

Then, according to the problem:

To find the area of the felt, we need to subtract the area of the picture from the area of the frame. The area of the frame is L x W, and the area of the picture is (4L - 5) / 4 x (W - 1). So the area of the felt is:

Felt area = Frame area - Picture area

= L x W - (4L - 5) / 4 x (W - 1)

= (4LW - 4W) / 4 - (4LW - 5L - 4W + 5) / 4

= (5L - 4W - 5) / 4

Therefore, the area of the felt is (5L - 4W - 5) / 4 (inches)². Note that we can't simplify this expression further without knowing the specific values of L and W.

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Complete question is: Greg covered the back of the picture with a piece of felt. The picture is 1 1/4 inches shorter than the fram and 1 inch less in width the area of the felt is (5L - 4W - 5) / 4 (inches)².

Answer:

12/12 and 1/12

Step-by-step explanation:

The correct graph would be the one with a normal distribution curve centered at 0, with two tails shaded on either side, representing the lowest and highest 4% of scores So option C is correct.

What is standard normal distribution ?

The standard normal distribution is a special case of the normal distribution in which the mean is 0 and the standard deviation is 1. It is also known as the "Z-distribution" because the scores are expressed in terms of their z-scores, which are the number of standard deviations above or below the mean.

The standard normal distribution is a bell-shaped curve that is symmetric around the mean of 0. It is used in statistics as a reference distribution for calculating probabilities and making statistical inferences.

To convert a normal distribution with a given mean and standard deviation to a standard normal distribution, we use the formula:

z = (x - μ) / σ

According to the question:
To find the bone density test scores that can be used as cutoff values separating the lowest 4% and highest 4%, we need to find the z-scores that correspond to the 4th and 96th percentiles of the standard normal distribution.

Using a standard normal table, we find that the z-score corresponding to the 4th percentile is approximately -1.75, and the z-score corresponding to the 96th percentile is approximately 1.75.

Therefore, the bone density test scores that can be used as cutoff values separating the lowest 4% and highest 4% are approximately -1.75 and 1.75, respectively.

To sketch the region containing the lowest 4% and highest 4%, we need to shade the area under the normal curve to the left of -1.75 and to the right of 1.75.

The shaded regions represent the lowest 4% and highest 4% of bone density test scores, respectively. The correct graph would be the one with a normal distribution curve centered at 0, with two tails shaded on either side, representing the lowest and highest 4% of scores.


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Answer:

To find the area of the shaded region, we need to find the area of the sector formed by the shaded angle and subtract the area of the triangle formed by the radius and the two radii at the endpoints of the shaded angle.

The area of the sector can be found using the formula:

Area of sector = (θ/360) x πr²

where θ is the central angle in degrees and r is the radius of the circle.

Here, θ = 130 degrees and r = 21 cm.

Area of sector = (130/360) x π x 21²

= 2471.39 cm²

Next, we need to find the area of the triangle. We can find the height of the triangle using trigonometry.

sin(130 degrees/2) = h/21

h = 21 x sin(65 degrees)

h ≈ 18.12 cm

The base of the triangle is the length of the arc that forms the shaded angle. We can find this length using the formula:

Length of arc = (θ/360) x 2πr

Length of arc = (130/360) x 2π x 21

= 38.81 cm

The area of the triangle is:

Area of triangle = 0.5 x base x height

= 0.5 x 38.81 x 18.12

= 351.70 cm²

Finally, we can find the area of the shaded region by subtracting the area of the triangle from the area of the sector:

Area of shaded region = Area of sector - Area of triangle

= 2471.39 - 351.70

= 2119.69 cm²

Therefore, the area of the shaded region is approximately 2119.69 cm².

Answer:

Step-by-step explanation:

We need to convert the 1 terabyte into bits, which is:

1 terabyte = 1,000 gigabytes (GB) x 1,000 megabytes (MB) x 1,000 kilobytes (KB) x 1,000 bytes (B) x 8 bits (b)

1 terabyte = 1,000,000,000,000 bytes x 8 bits

1 terabyte = 8,000,000,000,000 bits

Let's assume the total storage of all the family's phones, tablets, and cloud storage is x bits. Then, the number of more bits of storage Theresa's computer has is:

8,000,000,000,000 bits - x bits

We are not given the value of x, so we cannot calculate the exact difference.

However, we can still express the answer in scientific notation by noting that:

8,000,000,000,000 = 8 x 10^12

So, the difference in bits of storage can be written as:

(8 x 10^12) - x bits

Answer:

I'm too stressed rn like be so foreal

Answer:

x < 2 O R x > 1 ⇔ ( − ∞ , ∞ )

Explanation:

x < 2 means x can take any value less than two and interval notation, this means ( − ∞ , 2 ) , meaning that all numbers between − ∞ and 1 are included and as − ∞ and 2 are not included we have use small brackets. This forms one set of numbers, say P . x > 1 means x can take any value greater than one and interval notation tis means ( 1 , ∞ ) , meaning that all numbers between 1 and ∞ are included, but not 13 and ∞ . This forms another set of numbers, say Q . Hence x < 2 O R x > 1 represents the union of two sets P and Q i.e P ∪ Q or in other words ( − ∞ , 2 ) ∪ ( 1 , ∞ ) . Observe that P ∪ Q includes all the numbers from − ∞ to ∞ and hence x < 2 O R x > 1 ⇔ ( − ∞ , ∞ )

The gradient of the line is 5, and the y-intercept of the line is 15.

The given equation is in the form of y = mx + c, where m is the gradient (slope) of the line and c is the y-intercept of a straight line represented in 2D plane.

Rearranging the given equation, we get:

y - 6 = 5x + 9

Adding 6 to both sides, we get:

y = 5x + 15

Now we can see that the equation is in the required form of y = mx + c. The gradient (slope) of the line is 5, which is the coefficient of x in the equation. The y-intercept is 15, which is the constant term in the equation.

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The exponential function system that intersects as x = 1, is  [tex]y = 3(1)^x[/tex] and [tex]y = \frac{6}{8} \times (4)^x[/tex].

The formula for an exponential function is [tex]f(x) = a^x[/tex], where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The d Here are two different exponential functions of the required form that intersect at x = 1 -

[tex]y = 3(1)^x[/tex]

[tex]y = \frac{6}{8} \times (4)^x[/tex]

In the first equation, a = 3, and b = 2.

Plugging in x = 1, we get -

[tex]y = 3(1)^1[/tex]

y = 3 × 1

y = 3

So the point of intersection of this equation with the x-axis is (1, 3).

In the second equation, a = 6/8 , and b = 4.

Plugging in x = 1, we get -

[tex]y = \frac{6}{8} \times (4)^1[/tex]

y = 3/4 × 4

y = 3

So the point of intersection of this equation with the x-axis is also (1, 3).

So, both of these equations intersect at x = 1 and are of the form [tex]y = a \times b^x[/tex].

Therefore, the equations are [tex]y = 3(1)^x[/tex] and [tex]y = \frac{6}{8} \times (4)^x[/tex].

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Complete reference question:

Answer:

the answer is supposably 75900000

The number of students that will receive the attendance award is 26. The correct option is a.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

We must first ascertain how many students will be recognized. We can achieve this by dividing the overall number of students (650) by the proportion of recipients (4%). 650 x 0.04 = 26 Hence, 26 kids will be recognized for their flawless attendance.

According to the given conditions, 650 students and 4 will receive a perfect attendance award.

650 x 4% = 26

Therefore, the correct option is a, 26.

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The options are:

26

25

24

23

The area of the track is closely 1017.36 square feet.

The rectangle has dimensions of 84 ft by 36 ft,

we then find the area by:

Area of rectangle = length x width = 84 ft x 36 ft = 3,024 square feet

A_semicircle = (1/2)πr^2 = (1/2) x 3.14 x 18^2 = 508.68 square feet

The total area of the two semicircles is:

2 x A_semicircle = 2 x 508.68 = 1017.36 square feet

The area of the rectangle plus the area of the two semicircles is:

A_track_outer = A_rectangle + 2 x A_semicircle

= 3024 + 1017.36

= 4041.36 square feet

The area of the rectangle (the field) is:

A_field = length x width = 84 ft x 36 ft = 3024 square feet

We will subtract the area of the field from the area of the track to find the area of the track itself:

Area of track = A_track_outer - A_field

= 4041.36 - 3024

= 1017.36 square feet

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The area of the shaded region under normal distribution is: 3.51

The standard normal distribution is defined as the normal distribution with a mean of 0 and a standard deviation of 1.

The z-table or the  standard normal table is one that provides the area under the standard normal curve to the left of a specified value, or "z-value". The value for the area is also the probability that the variable is less than the specified z-value.

To the right of -2.25 and to the left of -0.35

From standard normal table, we have the p-values as:

Area to the left of -0.35 = 0.3632

Area to the left of -2.25 = 0.0122

Area of the shaded region = 0.3632 - 0.0122 = 0.351

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The interest that is paid on the loan in 6 years will be $4,200.

The amount of interest that is saved is $2,100.

The simple interest is a linear function of the number of years of the loan, value of the loan and the duration of the loan. The higher either of these values are, the higher the simple interest.

Simple interest = loan x time x interest rate

Simple interest if the loan is paid off after 6 years: $12,500 x 6 x 0.056 = $4,200

Simple interest if the loan is paid off after 3 years: $12,500 x 3 x 0.056 = $2100

Interest saved = $4200 - $2100 = 2100

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The value of x in the rectangle is 36.

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

All angles measure 90∘ in a rectangle. The sum of angles in a rectangle is 360 degrees.

Therefore, let's find the value of x in the angles.

Hence,

∠2 = x + 30

∠5 = 2x - 48

Therefore,

∠2 + ∠5 = 90°

x + 30 + 2x - 48 = 90

3x - 18 = 90

3x = 90 + 18

3x = 108

divide both sides by 3

x = 108 / 3

x = 36

Therefore,

x = 36

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The x-intercept of the function y = log base 3 x is (1, 0)

What is logarithm ?

A logarithm is a mathematical function that is used to solve equations involving exponential expressions. It is the inverse operation of exponentiation.

The logarithm of a number y to a given base b is the power or exponent to which the base must be raised to yield the number y. In other words, if we have the equation [tex]b^x = y[/tex], then the logarithm of y to the base b is x, which we can write as log base b y = x.

For example, if we take the base 2 and the number 8, the logarithm of 8 to base 2 is 3, because [tex]2^3 = 8[/tex]. This is written as log base 2 8 = 3.

According to the question:
The intercept of the function y = log base 3 x is the point where the graph of the function intersects either the x-axis or the y-axis. To find the intercepts, we set one of the variables to zero and solve for the other variable.

To find the y-intercept, we set x = 0 and evaluate the function:

y = log base 3 0

However, it is not possible to take the logarithm of 0 in any base, since 0 is not a positive number. Therefore, the function does not have a y-intercept.

To find the x-intercept, we set y = 0 and solve for x:

0 = log base 3 x

This equation can be rewritten in exponential form as:

[tex]3^0 = x[/tex]

Since any number raised to the 0th power is 1, we have:

1 = x

Therefore, the x-intercept of the function y = log base 3 x is (1, 0).

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the container needs to have a volume of  0.01514 cubic meters to hold 205 kg of mercury.

Volume is the measure of the amount of three-dimensional space enclosed by an object or space. It is typically expressed in cubic units, such as cubic meters (m³) or cubic centimeters (cm³).

The density of mercury is approximately 13,534 kg/m³.

We can use the formula:

Volume = mass/density

To find the volume of mercury that has a mass of 205 kg:

Volume = 205 kg / 13,534 kg/m³

Volume ≈ 0.01514 m³

Therefore, the container needs to have a volume of approximately 0.01514 cubic meters to hold 205 kg of mercury.

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The complete question is:

What volume should a container have to hold 205 kg of mercury?

The missing component in this equation is an alpha particle (He), which has a mass number of 4 and an atomic number of 2. Therefore, the balanced nuclear equation for this alpha decay would be:

^45/20Ca -> ^45/21Sc + ^4/2He

Answer: ^45/20Ca -> ^45/21Sc + ^4/2He

No, Sophia is not correct. While we can see that Morgan had more total weight overall in their two week recycling data, we can't say for sure that Morgan's data is greater without calculating the exact numbers.

Recycling data is information collected from the recycling process that is used to measure and analyze the effectiveness of the process. This data can include the type and amount of materials collected, the location of collection, the method of collection, and the end-use of recycled materials. Recycling data can be used to help identify areas for improvement, develop innovative recycling solutions, and evaluate the impact of current programs. It can also be used to understand consumer behavior and inform decisions on waste management. By collecting and analyzing recycling data, governments, businesses, and organizations can better understand how to reduce waste and increase the reuse and recycling of materials.

We need to calculate the means of the data to determine which one is larger.

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Answer:

Step-by-step explanation:

Let x be the measure of the first angle.

According to the problem, we know that:

The sum of the angles of the triangle is 180: x + y + z = 180

The sum of the second and third angles is five times the measure of the first angle: y + z = 5x

The third angle is 16 more than the second: z = y + 16

We can substitute the third equation into the second equation to get:

y + (y + 16) = 5x

Simplifying this equation, we get:

2y + 16 = 5x

We can rearrange this equation to get:

y = (5/2)x - 8

Now we can substitute this equation and the equation z = y + 16 into the first equation to get:

x + (5/2)x - 8 + (5/2)x + 8 = 180

Simplifying this equation, we get:

6x = 360

Dividing both sides by 6, we get:

x = 60

Now we can use this value of x to find y and z:

y = (5/2)x - 8 = (5/2)(60) - 8 = 58

z = y + 16 = 58 + 16 = 74

Therefore, the measures of the three angles are x = 60, y = 58, and z = 74.

The area of the trailer's base is 176 square feet.

Volume is a measure of the amount of space that an object occupies. It is a three-dimensional quantity that is usually measured in cubic units, such as cubic meters, cubic feet, or cubic centimeters.

We have a cargo trailer with a volume of 2,112 cubic feet, a height of 12 feet, and a width of 8 feet. We want to find the area and length of the trailer's base.

Since the volume of the trailer is given by V = lwh, we can write:

2,112 = lw(12)

Simplifying this equation, we get:

l = 2,112 / (w x 12)

l = 2,112 / (8 x 12) [Substituting the value of w as 8 feet]

l = 22

Therefore, the length of the trailer's base is 22 feet.

To find the area of the trailer's base, we can use the formula A = lw:

A = l x w

A = 22 x 8

A = 176 square feet

Therefore, the area of the trailer's base is 176 square feet.

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Answer: 90.32%

Step-by-step explanation:

To calculate your updated grade after receiving a 75% on a quiz that counts 7% of your overall grade, you can use the following formula:

New grade = (Old grade * (100 - weight of quiz)) + (Quiz grade * weight of quiz)

Plugging in your values, we get:

New grade = (97 * (100 - 7)) + (75 * 7)

New grade = (97 * 93) + (5.25)

New grade = 903.16

Therefore, your new grade is 90.32%.

Answer:  The sum of the weight of all your coursework plus your final is equal to 14.00

Step-by-step explanation:

not sure

Answer:

The probability that a randomly selected subject tested negative or did not use marijuana is 0.589.

Step-by-step explanation: