What is the value of x if 17 e⁴ˣ=85 ?


f. 5/4


g. ln85/17 . ln4


h. ln5/4


i. ln85 - ln17/ln4

The percentage of the total cost of 23 separate tickets that George saves by buying a season ticket is 23%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As the cost of the separate ticket is £24, and there are a total of 23 games, therefore, the total cost of the 23 games separate ticket can be written as,

=  £24 × 23

=  £552

Now, the cost of the season ticket is £425, therefore, the percentage of the total cost of 23 separate tickets that George saves by buying a season ticket can be written as,

\(\rm Percentage = \dfrac{\text{Total cost of 23 seperate ticket}-\text{Cost of season ticket}}{\text{Total cost of 23 seperate ticket}} \times 100\%\)

\(\rm Percentage = \dfrac{552-425}{552} \times 100\% = \dfrac{127}{552} \times 100\% = 23\%\)

Hence, the percentage of the total cost of 23 separate tickets that George saves by buying a season ticket is 23%.

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Answer:

parallelograms

Step-by-step explanation:

all sides well never touch no matter how far they stretch.

Answer:

y = 62°

Step-by-step explanation:

z represents the mid segment of the triangle.

Since, midsegment is parallel to the third side of the triangle.

\( \therefore \: y = 62 \degree...(correspnding \: \angle s) \\ \)

Answer: It's C because It was correct on my test.

If I wrong i'm really sorry

Step-by-step explanation:

C. Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.

An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.

A rhombus is a quadrilateral with all four sides congruent, or equal in length. When a diagonal is drawn in a rhombus, it will always divide the rhombus into two congruent triangles. Since the opposite sides of a rhombus are congruent, the two triangles formed by the diagonal will always have two congruent sides. Therefore, each triangle is an isosceles triangle.

A rhombus can have angles of various degrees. It can have angles more than 90 degrees, less than 90 degrees, or 90 degrees which means the statements A, and D are incorrect.

B is incorrect because the triangles formed by the diagonal of a rhombus will not have 3 equal sides, because the diagonal will not be congruent with the sides.

Hence, the correct answer would be an option (C).

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Answer:

y+(21)=-4(x-7)

Step-by-step explanation:

the point slope equation , two point

m=y2-y1/x2-x1

m=23+21/-4-7=44/-11= -4

y+(21)=-4(x-7)

Qualitative data depicts qualities or characteristics. This type of data is qualitative and nominal.

Qualitative data are the conceptual and descriptive findings gathered by surveys, interviews, or observation. We can explore concepts and provide more context for quantitative findings by analyzing qualitative data.

Qualitative data exist as measures of "types" and can be represented by a name, symbol, or number code, whereas quantitative data exist as information on numerical variables (such as how many, how much, or how frequently).

Numbers are used to expressing measures of values or counts in quantitative data. Binary, nominal, and ordinal are the three primary forms of qualitative data.

Qualitative data comes in a wide variety of forms, including those used in statistics, work, and research. This type of data is qualitative and nominal.

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It is impossible to tile a 4 × 4 board with one square removed using the L-shaped pieces consisting of three squares, it is impossible to tile a 8 × 8 board with one square removed using the L-shaped pieces consisting of three squares, this is a contradiction since the premises p ∧ ¬p and q ∧ ¬q are never true and [884 2 ⋅(−4940) 20 ](mod7) is 6.

Prove or disprove that a 4×4 board with any one square removed can be tiled with pieces consisting of three squares in an L-shape.

We can prove that this is impossible to tile a 4 × 4 board with one square removed using the L-shaped pieces consisting of three squares.

The number of squares on the 4 × 4 board is 16, while the number of squares on each L-shaped piece is three; as a result, the total number of squares on the L-shaped pieces is 12.

However, the board has 15 squares remaining after removing one square, thus the 15 squares cannot be covered using the 12 squares on the L-shaped pieces.

Thus, it is impossible to tile a 4 × 4 board with one square removed using the L-shaped pieces consisting of three squares.

Prove or disprove that an 8×8 board with any one square removed can be tiled with pieces consisting of three squares in an L-shape.

Let's split the 8 × 8 board into four smaller 4 × 4 boards.

One of the 4 × 4 boards has had one of its squares removed.

Let's call it board A.

On board A, we can't use L-shaped pieces because we know it can't be done.

As a result, we can't use one of the L-shaped pieces for each of the other three boards.

If we take out an L-shaped piece, we're left with a board that has two diagonally opposite corners filled with squares.

This board can be tiled using L-shaped pieces.

As a result, we have three boards that are each missing an L-shaped piece.

The remaining 13 L-shaped pieces are sufficient to cover these three boards, as each one requires four L-shaped pieces.

Determine if (¬(p⇒q))∧(¬(q⇒p)) is a tautology, a contradiction or neither.

Let us first evaluate the expression ¬(p ⇒ q) using the following table:

P Q p ⇒ q ¬ (p ⇒ q) q ⇒ p ¬ (q ⇒ p)(T, T) T F T T F(T, F) F T F T F(F, T) T F T F F(F, F) T F T T T

The column for ¬(p ⇒ q) indicates that the original statement is equivalent to p ∧ ¬q.

The second column of our expression ¬(q ⇒ p) is as follows:

P Q q ⇒ p ¬ (q ⇒ p) T T T F T T F T T T F F T T F T T T F F

The column for ¬(q ⇒ p) indicates that the original statement is equivalent to q ∧ ¬p.

As a result, we can write(¬(p⇒q))∧(¬(q⇒p)) as (p ∧ ¬q) ∧ (q ∧ ¬p)

This is a contradiction since the premises p ∧ ¬p and q ∧ ¬q are never true.

Use the gcd reduction theorem (the Euclidean algorithm) to nd the greatest common divisor of 7854 and 4746.

Let's use the Euclidean Algorithm to find the greatest common divisor (GCD) of 7854 and

4746.7854 = 1(4746) + 3108.4746

                   = 1(3108) + 1638.3108

                   = 1(1638) + 1470.1638

                   = 1(1470) + 168.1470

                   = 8(168) + 126.168

                   = 1(126) + 42.126

                   = 3(42).

Thus, GCD(7854, 4746) = 42.9.

Find [884 2 ⋅(−4940) 20 ](mod7)

We have [884 2 ⋅(−4940) 20 ](mod7).

We know that any integer can be represented in the form a/b (mod m), where m is a positive integer, and a and b are any integers.

If a ≡ c (mod m) and b ≡ d (mod m), then a + b ≡ c + d (mod m), a − b ≡ c − d (mod m), ab ≡ cd (mod m), and a^p ≡ c^p (mod m) for any nonnegative integer p.

884^2 ≡ 5^2 ≡ 4 (mod 7).-4940 ≡ 2 (mod 7) since 7 divides 4941 (the sum of the digits is divisible by 7).20 ≡ 6 (mod 7) since 7 divides 21.

The solution is:

[884 2 ⋅(−4940) 20 ](mod7) = (4)(2)(6)(mod7)

                                             = 48(mod7)

                                             = 6(mod7).

Therefore, [884 2 ⋅(−4940) 20 ](mod7) is 6.

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Answer:

y =  m x  +  b

y =  −  x  − 4

Step-by-step explanation:

Answer:

My Question was  The slope of the line shown between the points (-7, -3) and (-4, 0) is equal to its slope between the points (0, 4) and (6, 10).

Which of the following best describes triangle TUV and triangle XYZ?

answer: Triangle TUV is similar to triangle XYZ.

Step-by-step explanation:

Point V is at (-7, -3), and point T is at (-4, 0). So, the slope of the line between (-7, -3) and (-4, 0) is equal to the ratio of UT to VU.

Point Z is at (0, 4), and point X is at (6, 10). So, the slope of the line between (0, 4) and (6, 10) is equal to the ratio of YX to ZY.

Since the slope between (-7, -3) and (-4, 0) is equal to the slope between (0, 4) and (6, 10), the ratio of UT to VU is equal to the ratio of YX to ZY.

Two right triangles are similar if the ratios of two sets of their corresponding sides are congruent. Therefore, triangle TUV is similar to triangle XYZ.

Surface area , Lateral area and volume of triangular prism area 262.25 square in, 231 square in and 156.25 cubic in respectively.

With two triangular bases and three rectangular sides, a triangular prism is a kind of polyhedron. Alternatively, because it has five faces overall, it may be thought of as a pentahedron in which the bases' edges and vertices are connected by three rectangular sides.

Given, base (b) =5 in ,

the height of the triangle (h) = 6.25 in

length of a prism (l) = 12 in

and the hypotenuse of the right triangle = 8 in

The surface area of a right triangular prism = b×h + (S1 + S2 + h)L

On substituting the values, we get

SA = (5 × 6.25) + [(5 + 6.25 + 8) × 12]

⇒ SA = 60 + (30 × 11)

⇒ SA =262.25 square in

Therefore, the total surface area of a right triangular prism is 262.25 square in.

Lateral  Area = ( S1 + S2 + S3 ) × l

On substituting the values, we get

LA=(5+6.25+8)×12

LA=(19.25)×12

LA=231 square in

Therefore, the lateral surface area of a right triangular prism is 231 square in.

the base area = (1/2) × (b×h) = (1/2) × (5 ×6.25) =15.625 square in

The length of the prism is, L = 12 in

Using the volume of the triangular prism formula,

The volume of the given triangular prism = base area × length of the prism = 15.625 ×10=156.25 cubic in

Hence, The volume of the given triangular prism is 156.25 cubic in.

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The difference is 5 kilometers. Therefore, the plane will be 5 kilometers above the ground level when it passes directly over the airport.

(a) The plane will pass directly over the airport at 5:00 PM.

The  time at which the plane passes directly over the airport can be determined by calculating the time it takes for the plane to reach the airport from its initial position. Since the distance between the two points is known and the velocity of the plane is given, the time can be calculated by dividing the distance by the velocity.

These involves calculating the distance between the initial position of the plane and the position of the airport. The distance formula in three-dimensional space is used, which is given by the square root of the sum of the squares of the differences in the x, y, and z coordinates. By substituting the values, we can calculate the distance between the two points.

Next, we divide the distance by the magnitude of the velocity vector to obtain the time it takes for the plane to travel from the initial position to the airport. The magnitude of a vector is calculated by taking the square root of the sum of the squares of its components. By dividing the distance by the magnitude of the velocity, we obtain the time in hours.

Adding the time it takes to reach the airport (calculated from the initial position) to the time of noon, we can determine the time at which the plane will pass directly over the airport.

(b) The plane will be 20 kilometers above the airport when it passes.

The  height of the plane above the airport when it passes can be determined by subtracting the z-coordinate of the airport from the z-coordinate of the initial position of the plane.

These involves comparing the z-coordinate of the airport (which is 0) to the z-coordinate of the initial position of the plane (which is 5). By subtracting the z-coordinate of the airport from the z-coordinate of the initial position, we obtain the height of the plane above the airport.

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Answer:

D. 29 I just know the awnser sorry

To find the value of f(−2), we substitute −2 for x in the function f(x):

f(−2) = 4(-2)^2 − 3(-2) + 7

= 4(4) − 3(2) + 7

= 16 − 6 + 7

= 11

Therefore, f(−2) = 11.

Answer:

?

Step-by-step explanation:

Answer:

to find the perimeter of a polygon you just do "a regular polygon with n n sides and the length of one side s s: P = n × s P = n × s "

Step-by-step explanation:

The factor 3 does not occur in pair. Thus, ‘3’ is the smallest number by which 8112 should be divided to get a perfect square.

The LCM of 8, 15, and 20 is 120. Prime factors 2, 3, and 5 do not have a pair in this case. To construct a perfect square, 120 must be multiplied by 2 x 3 x 5. As a result, the least square number divisible by 8, 15, and 20 is 3600.

The smallest square matrix is 2 2 2 2 ; there is no theoretical limit to the highest size square matrix, however anything larger than 10 10 10 10 becomes impossible to manage numerically.4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900, and 961

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When x = 32 and y = 25, the value of z is calculated as 3200 using the given expression.

According to the following expression, the value of z when x = 32 and y = 25 is:

[z = (x+y)² - (x-y)²]

Substitute the given values of x and y:

\(\[\begin{aligned}z &= (32+25)^2 - (32-25)^2 \\ &= 57^2 - 7^2 \\ &= 3249 - 49 \\ &= \boxed{3200}\end{aligned}\]\)

Therefore, the value of z when x = 32 and y = 25 is \(\(\boxed{3200}\)\).

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Complete Question:

The age of the giraffe when he is 15 feet tall be 1 year 1 month and  16 days.

A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Giraffe height = 6 feet

Height grew in 7 months= 1.75 feet

Giraffe's height in 7 month = 7.75 feet

Giraffe's height, 1 feet= \(\frac{7}{7.75}\) month

                                   = 0.9032 months

Giraffe's height, 15 feet=  0.9032 x 15 month

                                    = 13.548 month

                                    = 13 months 16 days approx.

                                    = 1 year 1 month 16 days

Hence, the age of giraffe will be 1 year, 1 month and 16 days

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Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation

Answer:

Look below.

Step-by-step explanation:

For further reference I suggest looking at Khan academy videos of this.

A. log8 5/9

B. log9 4

C. log6 2^3

Answer:

Since ∠CAB = 90°, we know that AC is the hypotenuse of the right triangle ABC. Let's use the sine function to find the length of AC:

sin(∠ABC) = BC/AB

sin(46°) = BC/9.4

BC = 9.4 * sin(46°)

Now, using the Pythagorean theorem, we can find the length of AC:

AC = sqrt(AB^2 + BC^2)

AC = sqrt(9.4^2 + (9.4*sin(46°))^2)

AC ≈ 12.632

Rounding this to 3 significant figures, we get:

AC ≈ 12.6

Therefore, the length of AC rounded to 3 significant figures is approximately 12.6 units.

Answer:

picture #1 - 50.27 square units

picture #2 - 113.10 square units

picture #3 - 380.13 square units

Step-by-step explanation:

picture #1 - area = πr^2 -> π*4^2 = 50.27 square units

picture #2 - area = πr^2 -> π*6^2 = 113.10

picture #3 - area = πr^2 -> π*11^2 = 380.13

Answer:

Step-by-step explanation:

divide 13 by how many feets u have then what ever you get is the answer

THANK YOU

Answer:

13.2

Step-by-step explanation:

multiply 6.3×4

she swims 6.3 hours per week for 4 weeks. to find the answer you just need to multiply then together

Answer: Ma Lee swims for (4x6.3) which equals 25.2

Step-by-step explanation:

If you write them stacked on top of each other like this

6.3

6.3

6.3

6.3

when you add up the tenths place first you get 12 so regroup the 1 over to the ones place and put 2. Next add up 6's 6x4 equals 24 but dont forget the regrouped 1. Add 24+1=25. So altogether your answer is 25.2.

The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

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Answer:

y=-0.5ˣ

Step-by-step explanation:

each time the x-value is increased by one, the y-value is cut in half compared to the previous point

Answer:

y=-0.5ˣ

Step-by-step explanation:

each time the x-value is increased by one, the y-value is cut in half compared to the previous

Answer:

I am not sure but I think 4th option is correct

as she moving right then she is moving down .

Using the exponential distribution formula:

(a) P(X < 25) =0.3935, P(X > 15) = 0.2231 and P(15 < X < 25) = 0.1704

(b) The 40th percentile is 29.15 minutes

a) Using the exponential distribution formula:

P(X < 25) = 1 - \(e^{(-25/20)}\)= 0.3935

P(X > 15) = \(e^{(-15/20)}\) = 0.2231

P(15 < X < 25) = P(X < 25) - P(X < 15) = (1 - \(e^{(-25/20)}\)}) - (1 - \(e^{(-15/20)}\)) = 0.1704

b) The 40th percentile is the value x such that P(X < x) = 0.40. Using the exponential distribution formula:

0.40 = 1 - \(e^{(-x/20)}\)

Solving for x:

\(e^{(-x/20)}\)= 0.60

-x/20 = ln(0.60)

x = -20 ln(0.60) = 29.15

Therefore, the 40th percentile is 29.15 minutes.

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Answer: 100ft 113.6ft 200ft

Step-by-step explanation:

These new lengths are all ⅘of the original length

Tamara is most likely to select the prize where her team receives 20 pieces of candy and the losing team gets 10 pieces. This is because of the research findings using the minimal group paradigm, which suggest that individuals tend to prioritize maximizing the relative advantage of their in-group over maximizing their own absolute gains.

In the context of the Jeopardy game, Tamara's primary identification is with her own team, the winning team. The minimal group paradigm research indicates that individuals tend to exhibit a strong in-group bias and favor their own group's welfare even when it comes at the cost of absolute gains for themselves or their group members.

By selecting the option where her team receives 20 pieces of candy while the losing team receives 10 pieces, Tamara can maximize the relative advantage of her team over the losing team. This choice aligns with the tendency to prioritize the in-group's advantage and reinforces the social identity and cohesion within the winning team.

Therefore, based on the findings from research using the minimal group paradigm, Tamara is most likely to choose the option that provides the maximum relative advantage to her team, even if it means receiving fewer absolute gains for herself and her team.

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Answer:

Step-by-step explanation:

17) ∠V is half the difference of long arc TW and short arc UW... (198° - UW)/2 = 69°.. 198° -138° = UW = 60° (C)

Answer:

18 days

Step-by-step explanation:

You need to decide how many times 3 apples are more than ½: 3 / ½ = 6

So it will take 6 times more time: 3 x 6 = 18 days.