What is the value of f(3) f ( 3 ) for the function f(x)=4x−1

Benjamin has 340 cents or $3.40.

Proportion in Mathematics is an equation where two or more ratios are made to be equal.

If a : b = c : d, then we can write a/b = c/d

We know that,

1 nickel = 5 cents

8 nickel = x cents

Using ratio and proportion,

1 : 5 = 8 : x

x = 8 × 5 = 40 cents

Similarly,

1 quarter = 25 cents

12 quarters = 12 × 25 = 300 cents

Total cents Benjamin has = 300 + 40 = 340 cents = $3.40

Hence, Benjamin has a total of $3.40.

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Answer:

it should be 20 i hope it helps but im nt 100% sure

Step-by-step explanation:

Answer:

x = 49

Step-by-step explanation:

The sum of angles is 360

(x + 84) + 80 + 3x = 360

x + 3x = 360 - 84 - 80

4x = 196

x = 196/4 = 49

Answer:

Its B square pyramid

Step-by-step explanation:

Because

The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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Given statement solution is :-The degrees of freedom for this contingency table are 6.

To determine the degrees of freedom for a contingency table, you need to consider the number of categories in each variable (blood type and eye color) and subtract 1 from each.

In this case, we have 4 blood types (A, B, C, D) and 3 eye colors (blue, green, brown). Therefore, the degrees of freedom can be calculated as follows:

Degrees of freedom = (Number of blood type categories - 1) x (Number of eye color categories - 1)

= (4 - 1) x (3 - 1)

= 3 x 2

= 6

So, the degrees of freedom for this contingency table are 6.

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Answer:

4/7

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given

Total outcome = 2blue ties+1red tie+2blue coats+2orange coats

Total outcome = 7

If he wears a blue tie, then the expected outcome will be 2.

Probability that he wears blue tie = 2/7

If he wears a blue coat, then the expected outcome will be 2.

Probability that he wears blue coat = 2/7.

The probability that he wears either a blue tie or a blue coat will be 2/7+2/7 = 4/7

Answer:

Step-by-step explanation:

The system of equations with no solution is:

y + 3x = -7

4z - 2y = 10

The system of equations with exactly one solution is:

y = 6z+8

y = 6x-4

y = 3x + 2

2z-y = 5

y=-2z+8

The system of equations with infinitely many solutions is:

4z + y = 8

Answer:

the answer is 10

Step-by-step explanation:

The difference between the range and the IQR of the data set represented by the box plot is 10.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

The range of a dataset is calculated as the difference between the maximum and minimum values in the dataset.

In this case, the range is:

Range = highest value - lowest value = 34 - 16 = 18

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the IQR is:

IQR = Q3 - Q1 = 29 - 21 = 8

So the difference between the range and the IQR is:

Range - IQR = 18 - 8 = 10

Therefore,

The difference between the range and the IQR of the data set represented by the box plot is 10.

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Answer:

y = -3x + 6

Step-by-step explanation:

Two lines that are parallel will have the same slope. All we need to do is find the new y-intercept.

-3 = -3(3) + b

-3 = -9 + b

6 = b

Now we can input the stuff we know and solved for back into the original formula [ y = mx + b ].

y = -3x + 6

Best of Luck!

A parallel line means our new line will have a slope equal to the original line.

The original line is in slope-intercept form, y = mx + b, where m is the slope and b is the value of the y-intercept. This tells us that the slope we want to use is m = -3

By using a slope of -3, with the given point (3,-4), we can now use the point-slope formula to find our new line.

Point-slope formula: y - y1 = m(x - x1) where m is the slope and the line passes through the point (x1,y1)

Combining our point and slope, we get:

y + 4 = -3(x - 3)

If we wish, we can rearrange this by distributing on the right hand side.

y + 4 = -3x + 9

We can then subtract 4 from both sides to get our answer in slope-intercept form

y + 4 - 4 = -3x + 9 - 4

y = -3x + 5

The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.

Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.

Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.

Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:

h² = 6378² + 0.12²

h = √40684000.145

h = 6374.5 km

Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

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Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

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Answer:

21

Step-by-step explanation:

Answer:

The answer is 21! (Use long division)

An equation that could be the equation of this parabola include the following: C. x = 1/12(y²).

In Mathematics, the standard equation of the directrix lines for any parabola that opens to the right is represented by this mathematical expression:

x = a(y - k)² + h.

Where:

By critically observing the graph which models the equation of this parabola, we can logically deduce that the vertex is at point (0, 0) and as such, we have the following:

h = 0

k = 0

a = positive.

x = a(y - k)² + h.

x = a(y - 0)² + 0.

x = ay²

Therefore, a possible equation is x = 1/12(y²).

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75% is the missing percentage in x% of 1000000 = 750000.

A fraction of a number in hundredths, or fractions with a denominator of 100 (such as 5/100), can be expressed as a percentage, also known as a %. The Latin phrase per centum, which means "per hundred," or the French word pour cent, which has a similar meaning to the Latin word, may have been the source of the word %. A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Percent is a unit of measurement.

Given,

Let x be the missing percentage,

x% of 1000000 = 750000

Dividing,

x% = 750000/1000000

x/100 = 0.75

Cross multiplying,

x = 75

75% is the missing percentage in x% of 1000000 = 750000.

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Answer:

27

Step-by-step explanation:

FE is tangent to the circle with center D at point E and DE is radius.

\( \therefore FE \perp DE \implies m\angle FED = 90\degree \)

DE = x

DF = x + 18

FE = 36

By Pythagoras theorem:

\( DF^2 = DE^2 + FE^2 \)

\( (x+18)^2 = x^2 + 36^2 \)

\( x^2 + 36x + 324= x^2 + 1296\)

\( 36x + 324= 1296\)

\( 36x = 1296-324\)

\( 36x = 972\)

\( x = \frac{972}{36}\)

\( x =27\)

The value of x from the given figure, which is radius of a circle is 27 units.

From the given figure, FE=36 units, DE=x units and FD=x+18 units.

Tangent and radius of a circle meet at 90°. If we draw a radius that meets the circumference at the same point, the angle between the radius and the tangent will always be exactly 90°.

Using Pythagoras theorem, we have

FD²=FE²+DE²

⇒ (x+18)²=36²+x²

⇒ x²+36x+324=1296+x²

⇒ 36x=1296-324

⇒ 36x=972

⇒ x=972/36

⇒ x=27 units

Hence, the value of x from the given figure, which is radius of a circle is 27 units.

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x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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Hi there!

\(\large\boxed{\text{Parallel.}}\)

Rearrange the first equation into the format y = mx + b for easier comparison:

3x - y = 6

Move 3x to the other side of the equation:

-y = -3x + 6

Multiply all terms by -1:

y = 3x - 6

In comparison to y = 3x + 5, both equations have the same "m" value, or slope.

Therefore, the lines are parallel.

Answer:

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Step-by-step explanation:

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The length of the sides of triangle ABC are: 6, 8, and 12.

One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.

In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6

Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.

Hence, all three pairs of corresponding sides have the same proportion.

AB/DE = BC/EF = AC/DF = 1/2

Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.

ratio f sides : perimeter = 3 : 4 : 6 : 13

Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6

Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF

Length of the sides of triangle ABC are: 6, 8, and 12.

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The midpoint is 26.

Midpoint in this scenario = mean

(23+29)/2 = 26

Answer:

-6

Step-by-step explanation:

Answer:

Topics include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Common Core: HSG-C.A.2

Step-by-step explanation:

PA BRAINLIEST

Answer:

approximately 4 Tbsp. of powdered milk to 1 cup of water

Step-by-step explanation:

Answer:

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Answer:

Step-by-step explanation:

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The exponential function obtained from the table is represented by the formula y is 650(1.045)x.

A function with the exponential shape is:

y = abˣ

where an is y's initial value, b are multipliers, and y and x are variables.

The bacterial population at x hours should be represented by y.

With 650 bacteria cells at the beginning, the group.

a = 650

4.5% is the growth rate.

b = 100% + 4.5% = 104.5% = 1.045

The exponential function obtained from the table is represented by the formula y = 650(1.045)x.

The exponential function obtained from the table is represented by the formula y is 650(1.045)x.

Thirty hours later:

y = 650(1.045)³⁰ = 2434.

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Answer:

y > 2/3x + 3

Step-by-step explanation:

It is first option because > because shaded above the line and 2/3x is rise/run so 2/3.

+3 is because y-intercept is 3

The system of linear inequalities represented by the graph is the option;

y ≥  (1/3)·x + 3 and 3·x - y > 2

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

The system of linear inequalities are given by the in the question, that

describes the inequalities.

The points on the given graph are;

(3, 4), and (-3, 2)

The slope is; (2 - 4)÷((-3) - 3) = 1/3

The equation is;

y - 4 = (1/3)·(x - 3)

y = (1/3)·x - 1 + 4 = (1/3)·x + 3

Therefore;

The graph is y ≥  (1/3)·x + 3

Point on the second graph are;

(0, -2) and (2, 4)

The slope is; (4 - (-2)) ÷ (2 - 0) = 3

The equation is; y - (-2) = 3·(x - 0)

y = 3·x - 2

The inequality is; y < 3·x -2

Which gives;

2 < 3·x - y

Therefore;

3·x - y > 2

The correct option is the first option;

y ≥  (1/3)·x + 3 and 3·x - y > 2

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Answers:

x = 108

y = 111/5 = 22.2

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

Explanation:

The angles 72 and x form a 180 degree straight line.

72+x = 180

x = 180-72

x = 108

Angles x and 5y-3 are congruent corresponding angles assuming the lines pointing to the northwest are parallel

5y - 3 = x

5y - 3 = 108

5y = 108+3

5y = 111

y = 111/5

y = 22.2

Answer:

x = 108°

y = 22.2°

Step-by-step explanation:

Angles on a straight line sum to 180°.

\(\implies 72^{\circ} + x = 180^{\circ}\)

\(\implies 72^{\circ} + x - 72^{\circ} = 180^{\circ} - 72^{\circ}\)

\(\implies x = 108^{\circ}\)

Corresponding Angles Theorem

When a straight line intersects two parallel straight lines, the angles in the same relative position are congruent.

Assuming the two lines that appear parallel in the given diagram are parallel:

\(\implies (5y - 3)^{\circ} = x^{\circ}\)

\(\implies 5y - 3 = 108\)

\(\implies 5y - 3 + 3 = 108 + 3\)

\(\implies 5y = 111\)

\(\implies 5y \div 5 = 111 \div 5\)

\(\implies y = 22.2^{\circ}\)

Answer:

x = 3

Step-by-step explanation:

Correct question with correct options has been attached

Answer:

37

Step-by-step explanation:

Let C represent those dressed as heroes and let B represent those wearing mask

Thus;

n(C) = 39

n(D) = 45

We are told that 21 entrants were dressed as heroes wearing a mask.

Thus; n(C n D) = 21

We are also told that there were a total of 100 entries.

Thus, n(T) = 100

Now, number of entrants neither dressed as heroes nor wearing a mask is given by;

n(T) - n(C u D)

n(C u D) = n(C) + n(D) - n(C n D)

n(C u D) = 39 + 45 - 21

n(C u D) = 63

Thus;number of entrants neither dressed as heroes nor wearing a mask is: 100 - 63 = 37