3.6 units
A.
(-3, 4) and (3,4)
4.5 units
B.
(-5,3) and (-5, 11)
6 units
C.
(-20, -18) and (-22, -21)
8 units
D.
(-2, 4) and origin
15 units
E.
(7.-8) and (-2,-20)
Which of the following is correct sequence of the matching?

Answer:

C.) India, the European Space Agency, and Other launched a total of 4.5 percent of the successful missions.

EDGE2021

Answer:

C.) India, the European Space Agency, and Other launched a total of 4.5 percent of the successful missions.

Step-by-step explanation:

edge 2023

Answer:

29.71%

Step-by-step explanation:

The interest rate of the savings account is = 114.3%

The start up or principal amount (P) = $181.25

Simple interest after 7 years (SI) = $1450

Time or duration (T) = 7 years

To calculate the rate percentage of interest;

R = SI × 100/P×T

R = 1450 × 100/ 181.25 × 7

R = 145000/1268.75

R = 114.3%

Therefore, the interest rate percentage of the savings account is = 114.3%

Learn more about simple interest here:

https://brainly.com/question/25793394

Answer:

The motorist's rate is:

rate = distance / time

where distance is measured in kilometers and time is measured in hours.

We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:

rate = distance / time = 228 km / 6 hours = 38 km/hour

To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:

time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours

Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.

-5x/4 + 1/6

that's your answer

Analyze picture

since both sides are congruent, ang H-I-G= angle H-G-I

angle H-I-G=32 degrees, so H-G-I is 32 degrees as well

180-32-32=

180-64=

116

x=116 degrees

it is an obtuse triangle

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer: The answer is B and im 100% correct

Step-by-step explanation:

ANSWER

-477/500

EXPLANATION

To convert this decimal number to a fraction, first, we have to write it as a fraction with denominator 1,

Then, multiply both numerator and denominator by 1000 so that the decimal point is moved to obtain a whole number,

Then, find the greatest common factor between the numerator and denominator to simplify the fraction. In this case, the GCF is 2,

This fraction cannot be simplified anymore, so it is in the lowest terms.

Hence, the fraction that is equivalent to the given decimal is -477/500.

Answer:

4 categories are shown in rows.

2 categories are shown in columns.

12 14 year olds.

82 people were polled.

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

Learn more about functions on

https://brainly.com/question/11624077

#SPJ1

Let:

A = select a red marble

B = select a yellow marble

C = select a blue marble

N = total number of marbles in the bag

na = Number of red marbles in the bag

nb = Number of yellow marbles in the bag

nc = Number of blue marbles in the bag

1)

g

Answer:

g(x)= 1/4 |x-2| + 1

Step-by-step explanation:

line:

points on same line:

slope based on the points

And the line is moved to the right by 2 units:

So the function becomes:

Considering movement up by 1 unit as well:

This is the final of equation for the line.

Answer:

100x100=10,000

A short and easy trick is to multiply only the first number since the rest are zero. So, multiply 1 and 1: 1 x 1. What do you get? 1, of course. Then, add the rest of the zero's after that. In 100, there are two zero's. In 100, there are two zero's. What is two plus two? Well: 2 + 2 = 4 so, four zero's. After that, add the 4 zero's after the 1. One is extremely important in this problem. 1, one zero, 10, two zero's, 100, three zero's, 1,000, and finally, four zero's, 10,000. So, the trick is to multiply the one by the other one, get 1, and add the zero's in the other numbers. This can work as long as it is something like: 10 x 10, 100 x 100, 1,000 x 1,000, or even beyond. Just remember to add the zero's!

Note: This only works with digits similar to the ones listed below.

Notice that they all have a 1 at the front and zero('s) behind them.

1) 10 x 10

2) 100 x 100

3) 1,000 x 1,000

This can continue to over 100 zero's per digit!

The solution to the expression is A = 10000

Given data ,

Let the expression be represented as A

Now , the value of A is

Let the first number be represented as p

The value of p = 100

Let the second number be represented as q

The value of q = 100

So, A = pq

On simplifying the equation , we get

A = p multiplied by the value of q

And , A = 100 x 100

A = 10000

Therefore , the value of A is 10000

Hence , the expression is A = 10000

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

Answer:  25% decrease

Step-by-step explanation:

80 - 60

-----------  =  20/80 = 1/4 OR 25%

   80

Hope this helped :)

Answer:

3 9 90 =3²+9²=90

4 2 20 =4²+2²=20

5 7 =5²+7²=74

The missing term in the series is 74.

The mathematical way to display the quantity involved is called Numbers.

The given figure shows a sequence being followed for the third number.

The third number below the triangle is the sum of squares of the two numbers above the triangle.

3² + 9²  = 90

4² +2²  = 20

5² +7² =25+49 = 74

Therefore, the missing term in the series is 74.

To know more about Numbers

https://brainly.com/question/17429689

#SPJ2

Answer:

this is a linear equation. whatever value you set for x, you substitute and make a table that would probably look like this.

      x      |     y

-------------|-----------

5            | 17/3       <------- what would y be if x is 5?

3             | 5                     lets substitute x with 5

               |                          y=1/3*5+4

               |                         y=5/3+4

               |                        y=17/3

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

For more such questions on polynomial, click on:

https://brainly.com/question/1600696

#SPJ8

Answer:

1/4+1/3+1/8

=17/24

Step-by-step explanation:

1-17/24

=7/24

7/24×240

=70

Answer:

6

Step-by-step explanation:

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

dθ/dt = (1/√144) 2 ft/s

dθ/dt = (1/12) 2 ft/s

dθ/dt = 1/6 °/s

dθ/dt = 0.17 °/s

A scatter plot, because it would show the association, or relationship, between the two variables

From the question, we have the following parameters that can be used in our computation:

The table of values

To show the relationship and association between data values, the data values are best represented on a scatter plot

using the above as a guide, we have the following:

The most appropriate to construct for the data is (b)

Read more about scatter plot at

https://brainly.com/question/30488224

#SPJ1

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

Learn more about Isosceles Trapezoid Angle Measure here:

https://brainly.com/question/32850813

#SPJ11

Answer: No, they are not equal

1 kilogram = 1000 grams

6 kilograms = 6*1000 = 6000 grams

so we see that 6 kilograms is larger than 600 grams

Put another way,

600 grams = 600/1000 = 0.6 kilograms

Answer:

(x,y)=(0,4)

Step-by-step explanation:

write as systems as equations, multiply both sides of the equation by -1, sum the equations vertically to eliminate at least one variable, divide both sides of the equation by -19, substitute the given value of x into the equation 5x+y=4, The possible solution of the system is the ordered pairs (x,y) =(0,4), then you're done. whew. ;)

Answer:

(0,2)

Step-by-step explanation:

2:4 means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB

Add 1/3 of the distance from -2 to 4. (1/3)(4+2)=2. -2+2=0 The x coordinate is 0

Subtract 1/3 of the distance from 6 to -6, (1/3)6+6)=4 6-4=2 The y coordinate is 2

The point is (0,2)

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

Answer:

2(x + 6)

Step-by-step explanation:

If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:

2(x + 6)

Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)