Translate the sentence into an equation.
Nine less than the product of 8 and a number is 7.
Use the variable b for the unknown number please help me out

Answer:

56

Step-by-step explanation:

Answer:

D,no if you graph both inequalitiesvon thevsame geaph ,you will get b =16

Answer:

B

Step-by-step explanation:

i took da test

The value of x is 1.6 or 8/5 which makes the order 8/7, 1 2/5, x, 1 2/3, and 2 from least to greatest option (B) 8/5 is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

These fractions are in order from least to greatest:

8/7, 1 2/5, x, 1 2/3, 2

As we know the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, 1/2, 4/5, 3/7, etc are the numbers.

The fractions number are: 8/7, 1 2/5, x, 1 2/3, 2

The fraction can be written as a decimal:

8/7, 7/5, x, 5/3, 2

or

1.14, 1.4, x, 1.66, 2,

x will be 8/5 = 1.6

Thus, the value of x is 1.6 or 8/5 which makes the order 8/7, 1 2/5, x, 1 2/3, and 2 from least to greatest option (B) 8/5 is correct.

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The function f(x) = a(b^x) is an exponential function, where "a" is the initial value or y-intercept of the function, and "b" is the base of the exponent, which determines the rate of growth or decay.

When x = 0, we have:

f(0) = a(b^0)

Since any number raised to the power of 0 is 1, we can simplify the expression to:

f(0) = a(1) = a

Therefore, when x is equal to 0, the value of the function is just the initial value "a". This is true for any exponential function of the form f(x) = a(b^x).

In other words, the initial value of an exponential function is the value of the function when x = 0, and in this case, that value is just "a".

Answer:

1944

Step-by-step explanation:

3*12=36*3=918*18=1944

9514 1404 393

Answer:

  3 1/56 cups

Step-by-step explanation:

Apparently, you're to assume that the amount of food is supposed to be proportional to weight. If x is the amount of food for the 26-pound dog, then ...

  cups/weight = (1 5/8)/14 = x/26

Multiplying by 26 we have ...

  x = (26)(13/8)/14 = 338/112 . . . cups

  x = 3 1/56 cups ≈ 3.02 cups

About 3.02 cups of the same type of food should be fed to a 26-pound dog.

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

The value of the function operation f - g(x) is 3x² + x

Function operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.

Addition and subtraction of functions:

A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.

Multiplication of functions:

Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.

Composition of functions:

Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.

In this problem, we have two functions which are;

The value of (f - g)(x) = 3x² + x

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Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.

If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.

Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.

Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:

∠B + ∠C = 90°.

Substituting the given value, we have:

∠B + 25° = 90°.

To isolate ∠B, we subtract 25° from both sides of the equation:

∠B = 90° - 25°.

Simplifying, we get:

∠B = 65°.

Therefore, the measure of ∠B is 65°.

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Answer:

8.8888889e+15

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

4/8 = 1/2

1/2 x 1/2 = 1/4

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

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

Explanation:

The five number summary is the set of these items, in this exact order

So with the five number summary 4.6, 14.3, 19.7, 26.1, 31.2, we see that

Q1 = 14.3 and Q3 = 26.1

Subtracting these two values gets us the IQR (interquartile range)

IQR = Q3 - Q1

IQR = 26.1 - 14.3

IQR = 11.8

Answer: \(x^2+4x+12\)

Step-by-step explanation:

\(f(x)=x^2+8\\f(x+2)=(x+2)^2+8\\f(x+2)=x^2+4x+4+8\\f(x+2)=x^2+4x+12\)

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad \qquad \stackrel{slope}{m}\implies 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{5}(x-\stackrel{x_1}{(-2)})\implies y-4=5(x+2)\)

Steps to solve:

-2x > -6

~Divide -2 to both sides

x < 3

Best of Luck!

\(\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; \,x<3 \;\; \;\; $ } }\\\)

Step-by-step explanation:

\(-2x>-6\)

To solve this inequality, you must first divide(both sides of the inequality).

\(\frac{-2x}{-2} >\frac{-6}{-2}\)

Now we got an answer!

\(x<3\)

Hope this helps!

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer: 3

Step-by-step explanation:

\(\frac{16^2 \cdot 3^5}{12^4}\\\\=\frac{2^8 \cdot 3^5}{2^8 \cdot 3^4}\\\\=3\)

Answer:

36720 different desserts

Step-by-step explanation:

(1020x3)x12=36720

Answer:

∠ AEB = 114°

Step-by-step explanation:

the chord- chord angle AEB is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

∠ AEB = \(\frac{1}{2}\) (AB + CD) = \(\frac{1}{2}\) (140 + 88)° = \(\frac{1}{2}\) × 228° = 114°

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The following are the series test to show series are absolute convergence ,Ratio Test ,Limit Comparison Test, Root Test.

The following series tests can be used to show that a series converges absolutely,

Ratio Test

Root Test

Limit Comparison Test

The Alternating Series Test cannot be used to show absolute convergence, as it only applies to alternating series.

The Test for Divergence is used to show that a series diverges, but not whether it converges absolutely.

The Alternating Series Test and Test for Divergence do not test for absolute convergence, but rather conditional convergence.

They cannot be used to show that a series converges absolutely.

Therefore, series used to show absolute convergence are given by

Ratio Test

Limit Comparison Test

Root Test

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Given statement solution is :- 9086 is a multiple of 4 because it can be divided by 4 without leaving a remainder.

Sum is a way of putting all things together. The sum brings two or more numbers together to make a new total.

A multiple of a number is the product obtained when the number is multiplied by another number (integer; not a fraction).

To complete the expression so that the results are multiples of 4, we can add multiples of 4 into each of the blank spaces. Here's an option:

1.0000 + 250 + 7836

By adding these numbers, we will get a result that is a multiple of 4:

1.0000 + 250 + 7836 = 9086

9086 is a multiple of 4 because it can be divided by 4 without leaving a remainder.

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Answer:

y = 4

Step-by-step explanation:

If 3 is x than you can substitute x for 3. y = 3 + 1. Then when you add  y = 4

y = x+1

y = 3+1

y= 4

that's how you solve it... Good luck

Answer:

46.8 cm²

Step-by-step explanation:

The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).

The area of the rectangle is \((6)(10)=60\) cm².

Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.

Answer:

6

Step-by-step explanation:

The find the slope of a line given any two points, we can use the slope formula given by:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

We can choose the two points (0, -1) and (1, 5) from the graph.

Let (0, -1) be (x₁, y₁) and let (1, 5) be (x₂, y₂). So:

\(\displaystyle m=\frac{(5)-(-1)}{(1)-0}=\frac{6}{1}=6\)

Hence, the slope of the line is 6.

slope is the ratio of vertical increase to horizontal increase