He John Hancock Building in Chicago i 455 meter tall, which i about 1,400 feet, or about a quarter of a mile high. It ha one of the fatet elevator in the world, traveling at 20. 5 mile per hour, or about 5 meter per econd. How many econd woud it take to travel the the length of the building?

Answer:

x=6

Step-by-step explanation:

4(x+5) =9x+4x-34

1. we can simplifying the right hand side by adding 9x+4x

this gives us

           4(x+5)=13x-34

2. we expand the brackets to get

           4x+20=13x-34

3. we take the x on one side in this case we will subtract 4x from each side and add 34 on each side to get

          54=9x

4. we divide each side by 9 because we want to find the value of x this gives us

         6=x

By solving equations we know that he should mix 4 grams and 16 grams of the 30% and 60% bottles, respectively.

In mathematical equations, the equals sign is used to show that two expressions are equal.

According to algebra, an equation is a statement that shows the equality of two mathematical expressions.

For instance, the formulas 3x + 5 and 14, which together make the equation 3x + 5 = 14, are separated by the word "equal."

So, John requires a total of 20 grams.

Let x equal the 30% that he requires.

Let 20-x equal 60% of what he needs.

So, we have:

(x/20 * 30) + (20-x/20 * 60) = 54

Evaluate as follows:

1.5x + 60 -3x = 54

-1.5x = -6

x = 4 grams

20-x = 16 grams

Therefore, by solving equations we know that he should mix 4 grams and 16 grams of the 30% and 60% bottles, respectively.

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120 will be the shape of the sampling distribution.

Quantitative data's distribution shape may be characterized as having a logical order to the numbers and allowing for the identification of the "low" and "high" end values on the histogram's x-axis. Since qualitative data are not numerical, the distribution shape cannot be specified.

Given that,

Sample size of A, n = 200

Sample size of B, n = 100

Proportion of adults in district A = 60%

Proportion of adults in district B = 45%

In the sample size of 200, the number of adults that support a new ballot measure is:

= (60%) × 200

= 120

Those that oppose is:

= 200 -120

= 80

If 45% supports a new ballot measure in district B, then 55% do not support. The difference between those that support and do not support is:

(55% - 45%) × 100

= 10

Hence, the sampling distribution of p(A) and p(B) is approximately normal, because the number of success in district A is 120.

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Hello,

I hope you and your family are doing well!

The polynomial x^3-13x^2+25x+50 can be factored as (x+5)(x-5)(x+10).

The polynomial x^4+7x^3+13x^2+6x-45 can be factored as (x+5)(x-5)(x+3)(x-3).

So the correct match is:

(x+5) - x^3-13x^2+25x+50

(x-5) - x^3-13x^2+25x+50

(x+10) - x^3-13x^2+25x+50

(x-10) - x^4+7x^3+13x^2+6x-45

Please leave stars and brainliest if you find this answer helpful since it does encourage me to continue helping others.

Happy Holidays!

Integers lying in between in interval  (1, 8) are 3, 4, 5, 6, 7, which  satisfy the given inequality.

4x - 5 > 4

4x > 9

x > 2.25

Integers lying in between in open interval  (1, 8) are 3, 4, 5, 6, 7

Thus, integers lying in between in interval  (1, 8) are 3, 4, 5, 6, 7, which  satisfy the given inequality.

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The correct question is-

State all integer values of x in the interval (1, 8) that satisfy the following inequality:

4x - 5 > 4

Answer:

Part A: $32.10

Part B: 156 miles

Step-by-step explanation:

Part A:

$0.05 per mile. 0.05 times 42 = $2.10

30 + 2.10 = $32.10

Part B:

The rent cost a day is $30

37.80 - 30 = $7.80

7.80 is the money for miles

7.80 divided by 0.05 = 156 miles

Total number of seats for the center aisle z  = 400 + 10x + Y

The cafeteria would have a total of 3z = 1200 + 30 x + 3y chairs.

The word "total" refers to the addition of numbers or the destruction of something, and a total is a whole or full sum. In mathematics, adding two or more integers yields the sum. When you multiply 8 by 8, you get 16.

If z represents the total number of seats, then z=z1 + z2.

The equation for the first ten rows would be 10 (30 + x)= z1.

The equation for the final five rows would be 5 (20 + y) = z2.

Therefore, there would be z= z1+ z2  seats in the center aisle.

So total number of chairs in the middle aisle would be

z= z1+ z2

z= 10 ( 30 + x)+5 ( 20 + y)

z= 300 + 10x + 100 + y

z= 400 + 10x + y

The total number of chairs in the cafeteria would be z +z +z ( for the 3 aisle right , middle and left)

3z = 3(400 + 10x + y)

3z= 1200 + 30 x+ 3y

Total number of seats for the center aisle z  = 400 + 10x + Y

The cafeteria would have a total of 3z = 1200 + 30 x + 3y chairs.

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The reciprocal of 7 3/7 is 7/52

Answer: I'm pretty sure it's 7/52

Step-by-step explanation:

7*7 is 49, plus the 3 is 52, then the reciprocal of that. 7/52 is already in it's simplest form. Hope this helps!

The value of x is 0.636.

What is logarithms?

The opposite of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

f(x) = [tex]log_{a}x[/tex] (r) y = [tex]log_{a}x[/tex], where a > 0. It is the inverse of the exponential function a^y = x. Log functions include natural logarithm (ln) or common logarithm (log).

Given equation is

e^(5x) = 24

taking log with base e on both sides:

ln e^(5x) = ln 24

Applying the formula ln e^a = a

5x = ln 24

Divide both sides by 5:

x = 0.636

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The combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.

According to the question,

We have the following information:

A sandwich hop serve 4 ounce of meat and 3 ounce of cheese on each sandwich. After making sandwiches for an hour the hop owner has used 91 combined ounce of meat and cheese.

Combined ounces for 1 sandwich:

Ounces of meat + ounces of cheese

4+3

7 ounces

It is given that in an hour 91 ounces of combined cheese and meat are used.

Now, we have:

Number of sandwiches made in 1 hour = 91/7

Number of sandwiches = 13

Ounces of meat used in 13 sandwiches can be found using multiplication as follows:

13*4

Ounces of meat used in 13 sandwiches = 52 ounces

Ounces of cheese used in 13 sandwiches can found using multiplication as follows:

13*3

Ounces of cheese used in 13 sandwiches = 39 ounces

Hence, the combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.

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Length of AB in the cuboid is 20.784cm.

There are 6 faces, 12 edges, and 8 vertices on a cuboid.

All of the cuboid's faces have rectangular shapes.

The cuboid's opposing edges are parallel to one another.

The three dimensions of a cube are length, width, and height.

All of the angles created at the cuboid's vertices are 90 degree angles.

Length of Diagonal of cuboid is [tex]\sqrt{a^2+b^2+c^2}[/tex], where a,b,c are side lengths of cuboid,

Given:

AG=24cm;

AB=2BC;

CG=6m;

We know that diagonal of cuboid length is [tex]\sqrt{a^2+b^2+c^2}[/tex]

Here

Let AB=a, BC=b, CG=c;

So a=2b;

Now  

[tex]AG=\sqrt{a^2+b^2+c^2}=\sqrt{(2b)^2+b^2+6^2}=\sqrt{ 5b^2+36 }=24\\5b^2+36=576\\5b^2=540\\b=10.392cm\\AB=a=2b=20.784cm[/tex]

Length of AB in the cuboid is 20.784cm.

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Answer:

I'm not sure but x1=3 that's all I know I didn't do it on edge tho

Answer:

  r = 11

Step-by-step explanation:

Since we have a slope and one confirmed point, a good approach would be to find the equation of the line that goes through that point.  The equation can then be used to find r, for x = 3.

The standard format for an equation of a straight line is y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).  The slope is -3:

  y = -3x + b

To find b, enter the given point and solve for b:

  -1 = -3*(7) + b  [for (7,-1)]

   b = 20

The equation for this line is y = -3x + 20

Now enter (3,r)

y = -3x + 20

r = -3(3) + 20

r = 11

The point (3,r) is (3,11)

See the attached graph

From Properties of Triangles , both figures are connected and angle ∠B or ∠2 is 65°

Basic properties of triangles are:

1)A triangle's (of all varieties) total sum of angles is 180°.

2)The length of a triangle's two longest sides added together is longer than the third side.

3)Similar to this, the length of the third side of a triangle's third side is shorter than the difference between its two sides.

4)The longest of a triangle's three sides is the side that faces the larger angle.

5)A triangle's exterior angle is always equal to the product of its inner and exterior opposite angles. The outer angle attribute of a triangle refers to this characteristic.

As sum of angles in a triangle is 180° and sum of angles on a line is also 180°, both the figures are related.

Sum of angles=180°;

[tex]50+B+65=180;\\B=65[/tex]

∠B=65°

Similarly angle 2 is also 65°

From Properties of Triangles , both figures are connected and angle ∠B or ∠2 is 65°

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This data collection may be characterized as numerical and univariate.

What is numerical and univariate?

If the collection of all potential values for a numerical univariate data is finite or countably infinite, the data is discrete. Usually, discrete univariate data are used in counting (such as the number of books read by a person). If the range of all potential values is a set of numbers, then a numerical univariate data is continuous.

Categorical data:

Categorical variables represent different sorts of data that may be categorized. Race, sex, age group, and educational level are some examples of categorical variables.

Data types that may be kept and recognized based on the names or labels assigned to them are referred to as categorical data.

Numerical data refers to the data that is in the form of numbers, and not in any language or descriptive form. Also known as qualitative data as it qualifies data before classifying it.

Over here we have the data for the average time spent reading per day for students in an 8th grade class.

Average Time is a numerical data

Bivariate data deals with two variables univariate data, which is one variable data we have numerical data and one variables so its Numerical and univariate.

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The value of side JK in the Rhombus JKLM is 3√41.

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape.

Given that,

JKLM is a rhombus,

And side MN = 15 and diagonal JL = 24,

Since, In rhombus diagonal bisects each other at equally at 90°.

Therefore, ∠JNK = 90°, and JN = JL/2 = 12

Also, NK =MN = 15

Use Pythagorean formula to find side JK,

JK² = JN² + NK²

      = (12)² + (15)²

      = 144 + 225

JK² = 369

JK  = 3√41

The required value of side JK is 3√41.

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One tablet weighs will be 1.93 pounds.​

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The combined weight of 4 identical tablet computers and a 4 3-pound laptop is 10.7 pounds.

Now,

Let the weight of 1 tablet = x

So, We can formulate;

⇒ 4x + 3 = 10.7

Solve for x as;

⇒ 4x = 10.7 - 3

⇒ 4x = 7.7

⇒ x = 7.7 / 4

⇒ x = 1.93 pounds

Thus, One tablet weighs = 1.93 pounds.​

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Answer:

353340 + x + 33

Step-by-step explanation:

real life sum situation

Option D is correct since the side opposite the larger angle is larger and you know that MN>NP, so the angle O's measure is more than the angle Q's measure.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Here,

The side that is opposite to the greater angle is greater.

you know that MN>NP.

Then the measure of angle O is larger than the measure of the angle Q.

Because the side opposing the greater angle is larger and you know that MN>NP, option D is true. As a result, the measure of angle O is larger than the measure of angle Q.

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After 5 years the value of the farmhouse would be $23675 more than the value of the farmhouse when it was built.

What is the exponential function?

The exponential function is a mathematical function denoted by [tex]f(x)=e^{x}[/tex]. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

The value of a farmhouse, in dollars, x years from the year it was built can be predicted by the function

               [tex]g (x) = 65500(1.05)^x[/tex]

Now the given table shows that the value of the farmhouse over the years

Now the value of the farmhouse when it was built = $70000

Now after 5 years, the cost would be

                [tex]g(x) = 65500(1.05)^x\\\\g(5)=65500(1.05)^5\\\\g(5) = 93675\\[/tex]

Now the difference would be = 93675 - 70000

                                                 = $23675.

Hence, After 5 years the value of the farmhouse would be $23675 more than the value of the farmhouse when it was built.

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Therefore ,the answer that states, "Infinitely many solutions, both sides are equivalent expressions" is the one that should be selected in this case.

Equations are mathematical expressions that have two algebraic expressions on either side of an equals (=) sign.  For an unknown quantity represented by an unknown variable, equations can be solved to determine its value.

Here,

The number of solutions is unlimited if there are more variables than linear independent equations.

A single solution or no solution is possible if there are the same number of linearly independent equations and variables.

In the following scenarios, we are at a loss for solutions:

y = x + 3

y = x - 3

this causes:

x + 3 = x - 3

+3 = -3

Consequently, this system lacks a solution.

The first set of equations is

y = x + 5

y = 2x + 5

You can see that there is only one solution for this system because there are only two variables and two linear independent equations.

Thus, "One solution, the graph of these lines should connect at one point" is what we have here. The key idea is (0, 5)

Another system is:

y =x+x+5 = 2x + 5

y = 2x+ 5

Since both equations are identical and there are just two variables in this situation, there are an endless number of solutions to the system.

The answer that states, "Infinitely many solutions, both sides are equivalent expressions" is the one that should be selected in this case.

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Answer: To find the number of liters of water in the first pool after x minutes have passed, we can use the formula:

972 + 17x

To find the number of liters of water in the second pool after x minutes have passed, we can use the formula:

44x

Note that both of these formulas assume that the pools are being filled continuously, without any interruptions. If the flow of water into either pool is interrupted at any point, the actual amount of water in the pools may be different from what these formulas predict.

Answer:

a)

17x + 972

44x

b)

972 + 17x = 44x

Step-by-step explanation:

Answer:

All are rational except 47.444...

Answer: point A will stay where it is.

Step-by-step explanation: point A is the point of rotation

The following is not the same across classification and regression decision trees is a . type of predicted variable .

Given :

which of the following is not the same across classification and regression decision trees a. type of predicted variable b. impurity measure/ splitting criteria .

What is classification and regression decision trees ?

CART is a predictive algorithm used in Machine learning and it explains how the target variable's values can be predicted based on other matters.

The  not same across classification and regression decision trees is type of predicted variable .

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2 monthly = 2 m, an equation for calculating the total number of movies she will watch over the course of m months.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, etc.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.

According to our question-

Mai may view the following number of films each month if he watched two per month:

movies available = n

m = months

2 monthly = 2 m

Hence, 2 monthly = 2 m, an equation for calculating the total number of movies she will watch over the course of m months.

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Answer:

c is correct

Step-by-step explanation:

take 8 common bro

The degree measure of ∠W if m∠X = 29.8° is 60.2 °.

Given:

Angles W and X are complementary, determine the degree of measure of ∠W if m∠X = 29.8° .

Let x be the measure of angle w.

we know that ,

Complementary angles :

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

m <X + m <W = 90°

substitute angle x value

29.8 ° + x = 90 °

x = 90 ° - 29.8 °

x = 60.2 °

Therefore the degree measure of m <W = 60.2 °.

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Full question :

Angles W and X are complementary. Determine the degree measure of m <W if m∠X = 29.8°.

The distance from the the point on the ground bellow the hot air balloon is 1039 feet

Distance here talks about how far the person stands from a point

The given parameters are

The angle of depression from the point 30⁰

Height of the air balloon = 600 feet

The distance from the the point on the ground bellow the hot air balloon = x

To find x we use the trigonometric ratio:

TanB = opposite/Adjacent

Tan30 = 600/x

This implies that x*tan30 = 600

Making x the subject we have 600/tan30

⇒x = 600/0.5774

x=1034 feet

In conclusion, the distance from the the point on the ground bellow the hot air balloon is 1039 feet

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Answer:8

Step-by-step explanation: isaid it is

The correct matrix representation is [tex]\left[\begin{array}{ccc}2&3\\3&-1\\\end{array}\right][/tex]

We can represent a vector pointing at a point by its x coordinate, and y coordinate, and Let us say there are two points represented by their x-, y coordinates as P₁(x₁,y₁) P₂(x₂,y₂)

Given here the points are P₁(2,3) and P₂(3,-1)

Thus by the coordinates of the two vectors, we can represent  the matrix  

[tex]\left[\begin{array}{ccc}2&3\\3&-1\\\end{array}\right][/tex]

Hence, Option D) is the correct answer.

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