Multiply 3 by 25% of 40.

Answer:

b and d are relative minimums (minima)

Step-by-step explanation:

An "absolute" minimum is the very lowest point on a graph. This graph doesn't have an "absolute" minimum because the end points both go to negative infinity (they go down forever)

But, this graph DOES have points that are "relative" minimums, which means the points are the minimum (lowest) in their neighborhood. In the immediate vicinity of the point, it is the lowest point.

In case there are further questions with this graph:

relative max: a and c

absolute max: f

x-intercepts: a,c,e,g

probably a 6th degree function,

multiplicity 2 at a and c

multiplicity 1 at e, g

leading coeffient is negative.

Answer:

sorry wanted pionts

Step-by-step explanation:

umm sorry

Answer: :Given : points G and I have coordinates (6,4) and (3,2)

To Find : Use  Pythagorean theorem  to calculate the straight line distance between points G and I

Solution:

points G and I have coordinates (6,4) and (3,2)

Draw a line parallel to y axis passing through G

Draw a line parallel to x axis passing through I

Intersection point K ( 6 , 2)

IK = 6 - 3 = 3

GK = 4 -2  = 2

ΔIKG right angled triangle

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.  

GI² = IK² + GK²

=>  GI²  = 3² + 2²

=>  GI²  = 13

=> GI = √13

using distance formula

G (6,4) and I (3,2)

= √(6 - 3)² + (4 - 2)²

= √3² + 2²

= √9 + 4

= √13

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13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...

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The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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Answer:

135 degrees.

Step-by-step explanation:

Tan theta =   √/2 /2  /  -√/2 /2 = -1

Arctan 1 = 45 degrees.

As the x coordinate is negative and the y coordinate is positive:

Theta will be in the 2nd quadrant.

So its  180 - 45

= 135 degrees.

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Step-by-step explanation:

In a Random survey 35 out of 100 people answered correctly.

100-35

=65

\( \frac{35}{65}(400) \)

\( \frac{7}{13}(400) \)

\( \frac{2800}{13} \)

\(215.384\)

I think this is the answer but I am not entirely sure so you can maybe verify from someone.

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:

The Distributive Property combines multiplication and addition.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The lines positioning shows a negative slope already, so it cant be C or D

Slope is a rise over run basis. You can check this just from points alone, the line would be much steeper if the slope was -2.

Hope this helps!

Answer:

------------------------

The distance is 710000 km and the first spaceship has travelled 110000 km in the first hour.

The remainder of the distance is reducing by:

Time to travel before they meet:

Add the first hour to this to get total travel time of 4 hours.

Answer:

The median Number of touchdowns for team X is less than the median number of touchdowns for team Z

Step-by-step explanation:

The statement, median Number of touchdowns for team X is less than the median number of touchdowns for team Z isn't supported by the boxplot Given :

Median value for Number of touchdowns for team X = 3

Median value for Number of touchdowns for team Z = 2

Since 3 > 2

Then, team X median number of touchdowns is greater than team Z median number of touchdowns.

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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Answer:

12

Step-by-step explanation:

1.2*10 = 1.2

Answer:

12

Step-by-step explanation:

the "normal form" to write numbers : just the digits and a decimal point when needed.

so, 1.2 × 10 = 12

12 is the normal, standard decimal notation.

in some cases it can be also 12.0 or 12.00 (especially with money).

the other form is the scientific notation, where a number is written with its leading digits and the power of 10 as the total value "weight". like in this example 1.2 × 10¹

A sphere has no faces, no edges, and no vertices.

A sphere is defined as the set of all points in three-dimensional space that are equidistant from a fixed point, called the center. The distance from the center to any point on the sphere is called the radius.

Spheres have a continuous, smooth, and curved surface, unlike polyhedra, which have flat faces, edges, and vertices. In contrast, a sphere does not have any flat faces, straight edges, or sharp corners. Its surface is entirely smooth and curved, with no distinct points where multiple edges meet.

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The volume of the cylinder generated by rotating the region bounded by y = x³ , y = 8 , x = 0 and x = 9 be, 1608.25 cubic units.

Given, a cylinder generated by rotating the region bounded by the given curves about the specified axis

y = x³ , y = 8 , x = 0 and x = 9

we have to find the volume of the cylinder generated by the given region,

So, using the concept of integration, we get

Volume of the cylinder =  Integrating y from x³ to 8 then integrating x from 0 to 9.

Volume of the cylinder = ∫∫dy dx

Volume of the cylinder = ∫(x³ - 8) dx

Volume of the cylinder = x^4/4 - 8x

Volume of the cylinder = (9)^4/4 - 8(4)

Volume of the cylinder = 1640.25 - 32

Volume of the cylinder = 1608.25

So, the volume of the cylinder be 1608.25 cubic units.

Hence, volume of the cylinder be 1608.25 cubic units.

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A 3rd degree polynomial function with real coefficients satisfying the given condition. 2 and -3 +3i are zeros; leading coefficients is 1, is:

f(x) = x³ + 4x² + 6x - 36

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

A polynomial function is one that uses only non-negative integer powers or positive number coefficients of such a variables in such an expression like the quadratic function, cubic equation, and so on.

we have to find third degree polynomial, so, n = 3

Since 2 is its zero ,so, x - 2 is its factor

As complex zeros occur in conjugate pairs .

So,other factors are (x + (3 + 3i)) and (x + (3 - 3i)) ,

Firstly, we find the product of these two factors:

= x² + 6x + 9 - 9i²

= x² +6x +9 - 9(-1)

= (x² +6x + 18)

Now multiply (x² +6x + 18) with (x - 2) we get f(x):

= (x² +6x + 18) (x - 2)

= x³ - 2x² + 6x² - 12x + 18x - 36

= x³ + 4x² + 6x - 36

Correct option: b

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Answer:

.

21

Step-by-step explanation:

Answer:

x = 93

Step-by-step explanation:

the adjacent angle to x ( on the right side) and 48° are alternate angles and are congruent.

the 3 angles lying on line m sum to 180° , that is

39 + x + 48 = 180

x + 87 = 180 ( subtract 87 from both sides )

x = 93

R = 8.4 cm

V = 4/3 * π * r^3

V = 4/3 * 3.14 * (8.4 cm)^3

V = 2481.4 cm^3

Answer:

answer is 6/25

Step-by-step explanation:

6/25 x 100% = 24%

Answer:

6/25

Step-by-step explanation:

24% = 24/100 = 6/25 = 0.24

Answer:

C. class number and painting preference

Step-by-step explanation:

just got done with the quiz

Answer:

-19

3 - 9 - 13 = -19

Step-by-step explanation:

Answer:

the answer is A. 3/4

Step-by-step explanation:

Try using Symbolab for future reference it works really well (it's what I use ALL the time)!

Answer:

r <211

Step-by-step explanation:

-4<\frac{-5-r}{54}

switch sides

\frac{-5-r}{54}>-4

times that stuff

\frac{54\left(-5-r\right)}{54}>54\left(-4\right)

and slimpify the rest

DONE

( i hope it's right)

The size of the bands that would result from cutting the plasmid with Hind III, Eco RI and Sma I would be 5530

The size of bands resulting from cutting a plasmid with Hind III, EagI and SmaI can be determined using the following formula:

Size of Band = Plasmid Size - (Hind III + EagI + SmaI)

The size of the bands that would result from cutting the plasmid with Hind III, Eco RI and Sma I can be calculated using the following formula:

For this example, the plasmid has a size of 5541 base pairs. After cutting with Hind III, EagI and SmaI, the size of the bands will be:

Size of Band = 5541 - (6 + 4 + 4)

Size of Band = 5527 base pairs

Band size = Total base pairs - [size of sites (Hind III + Eco RI + Sma I)] + 1

In this case, the band size would be calculated as follows:

Band size = 5541 - (6 + 6 + 4) + 1

Band size = 5530 bp

Therefore, the size of the bands that would result from cutting the plasmid with Hind III, Eco RI and Sma I would be 5530

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Complete question:

What size bands would result from cutting the following plasmid using Hind III, EcoRI and SmaI? The plasmid has a total of 5541 base pairs.

The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.

The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.

The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).

Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

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Answer:

Identity property of division

Step-by-step explanation:

Use the next formula to find the z-score:

Then, the z-score for the given situation i s

288 ounces of water are left in the water tank.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots

Here, we have

Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.

1 gallon = 128 ounces, 2 gallon = 256 ounces

6 bottles × 16 ounces = 96 ounces

2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces

5 gallon = 5 × 128 = 640 ounces

= 640 - 352 = 288 ounces

Hence,  288 ounces of water are left in the water tank.

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