Eudora ran from her home to her secret laboratory at an average speed of
12
km/h
12 km/h12, start text, space, k, m, slash, h, end text. She then took one of her jetpacks and flew to her school at an average speed of
76
km/h
76 km/h76, start text, space, k, m, slash, h, end text. Eudora traveled a total distance of
120
120120 kilometers, and the entire trip took
2
22 hours.

The value of a=-9 using the remainder theorem.

Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that when a polynomial P(x) is divided by a factor (x - a), which isn't really an element of the polynomial, a smaller polynomial is produced along with a remainder.

The remainder theorem means just what it says on the tin: The remainder is obtained by r=a when a polynomial a(x) is divided by a linear polynomial b(x) whose zero is x equal to k.

Put x=a in the first expression to find the remainder.

\(4(a)^2+3a+9\)

Put x=a/2 in the second expression to find the remainder.

\(4(a/2)^2+3(a/2)+9\)

Now it is given that the first remainder is four times the second remainder.

\(4(a)^2+3a+9=4(4(a/2)^2+3(a/2)+9)\\4(a)^2+3a+9=4(a)^2+6a+36\\3a=-27\\a=-9\)

So, the value of a=-9 using the remainder theorem.

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7 organisms

Area of lawn that supplies oxygen for a particular multicellular organism = 625 sq ft

Total area of the lawn = 4,375 sq ft

Number of organisms = 4375/625

Number of organisms = 7

A total of 4,375 sq ft of lawn would provide the daily supplies of oxygen for 7 organisms

Answer:

2/9 x 2/9 = 4/81

The probability that it rains two days in a row is 4/81 or 4.93% if it rains 2 out of 9 days in Austin, Texas.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

It rains 2 out of 9 days in Austin, Texas.

P(r) = 2/9

So the probability that it rains two days in a row = (2/9)(2/9)

= 4/81

= 4.93%

Thus, the probability that it rains two days in a row is 4/81 or 4.93% if it rains 2 out of 9 days in Austin, Texas.

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Answer:

-1/2

Step-by-step explanation:

Slope is change in x over change in y

so..

2-(-4)

over

-1-11

so...

-6/12 or -1/2

There are 15 different combinations of shows can gabe choose to watch.

Given,

Number of shows to be telecasted = 6

Number of allowed shows to watch =4

Gabe is allowed to watch 4 shows from total 6 shows.

To calculate combinations of shows that can gabe choose to watch, use formula

\(nCr=\frac{n!}{r!(n-r)!}\)

Where, n=Total number of shows i.e. 6

r= Number of choosing shows i.e.

\(nCr=\frac{6!}{4!(6-2)!}\\\\nCr=\frac{6*5*4*3*2*1}{4*3*2*1(2)!}\\\\nCr=\frac{6*5*4*3*2*1}{4*3*2*1*2}\\\\nCr=15\)

Thus, there are 15 different combinations of shows can gabe choose to watch.

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Well, to graph you need an equation. Our equation is gonna be y-(-3)=-1/2(3-x). So i'm using desmos to graph on the computer, just search up desmos.

Answer: Anna

Step-by-step explanation:

        First, I will create proportions.

Anna: 2 lemon : 9 water

Jack: 3 lemon : 15 water

        Next, I will simplify them.

\(\frac{2}{9}\) = Already simplified

\(\frac{3}{15}\) = \(\frac{1}{5}\)

        Now I will give them common denominators and compare. Anna's has a larger lemon to water ratio, so Anna's will have a stronger lemon taste.

\(\frac{2}{9}\)  * \(\frac{5}{5}\) = \(\frac{10}{45}\)

\(\frac{1}{5}\) * \(\frac{9}{9}\) = \(\frac{9}{45}\)

Scientific notation is a way of writing really big or really small numbers that take a lot of work to write out fully. Scientific notation is used because it's tiring to write out the numbers, which are usually very long. It's a way to shorten them while still knowing what the original number is.

Answer:

ok bet

Step-by-step explanation:

2 equal expressions for 13(4 + x):

52 + x

4(13 + x)

explanation: to distribute the 13 to the terms inside the parentheses, you simply multiply 13 by 4, and then 13 by x. this will then give you 52, and 13x.

2. another equal expression with commutative property of addition:

52 + x

x + 52

Answer:

a=12

Step-by-step explanation:

(2a-1)+(6a-5)=90

First, we can simplify the left side by combining the two like terms (2a and 6a) and the two constant terms (-1 and -5):

8a - 6 = 90

Next, we can add 6 to both sides to isolate the variable term on one side of the equation:

8a = 96

Finally, we can divide both sides by 8 to solve for a:

a = 12

Therefore, the solution is a = 12.

*IG: whis.sama_ent*

Answer:

a = 12

Step-by-step explanation:

Angle (2a-1) and angle (6a-5) are complementary angles.

Complementary angles sum 90°

Then;

(2a-1) + (6a-5) = 90

2a + 6a -1 - 5 = 90

8a - 6 = 90

8a = 90 + 6

8a = 96

a = 96/8

a = 12

Check:

(2*12 - 1) + (6*12-5) = 90

24 - 1 + 72 - 5 = 90

Answer:

EASY. y = 4/7x+3

Step-by-step explanation:

Answer:

(Choice C) C Replace one equation with a multiple of itself

Step-by-step explanation:

Since system A has the equations

-3x + 12y = 15 and 7x - 10y = -2 and,

system B has the equations

-x + 4y = 5 and 7x - 10 y = -2.

To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).

So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)

So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.

So, choice C is the answer.

We replace one equation with a multiple of itself.

Answer:

it is c and yes

Step-by-step explanation:

I got it in khan academy

In the given examples, the kind of statistics that are used can be described as follows:1. A school psychologist finds that students who listen to music have decreased scores on their homework - Inferential statistics are used here.2. A teacher reports the average score for a class - Descriptive statistics are used here.

For identifying the dependent and independent variable, the following description can be given:

Dependent variable: This is the variable that is being tested and measured. In the given example, the dependent variable is the score on the homework.

Independent variable: This is the variable that is being manipulated. In the given example, the independent variable is the music that the students listen to.

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Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

The borderline if the linear inequality's symbol is > (greater than) or (greater than or equal to).

In mathematics, an inequality is a connection that does not have an equal sign between two expressions or values. Inequality follows imbalance, therefore. When two numerical values are not equal, an inequality establishes a connection between them. Difference between equality and inequality Use the not equal symbol, which is most often used, when two values are not equal (). No matter how little or huge the values, various inequalities are employed to contrast them. The two sides can be changed until the variables are all that is left in order to solve several basic inequalities. Unevenness is caused by a number of factors, including: The sum or division of negative values on both sides. The left and right are exchanged.

given

inequality for y

5x – 2y ≤ 10

– 2y ≤ – 5x + 10

y ≥ 5/2x - 5

When dividing by a negative number, remember to switch the inequality sign.

In a linear inequality, you will shade below the boundary line if the sign is (less than) or (less than or equal to).  The borderline if the linear inequality's symbol is > (greater than) or (greater than or equal to).

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Answer:

48x i belive is the answer

Step-by-step explanation:

Answer:

3+3=6

Hope dhhhdjsjsbsjdbshs

The correct option to calculate the total amount payable to suppliers whose materials meet the specifications is: SUMIF(B2:87, "Yes", C2:C7)

The function SUMIF is one that calculates the sum of the values within a certain range (C2:C7) provided that a certain condition is met (B2:B7 reads as "Yes").

By using the SUMIF function and setting specific ranges and criteria, the formula will add up the values within the C2:C7 range exclusively for suppliers whose materials align with the set specifications (which are marked as "Yes" in corresponding cells within B2:B7).

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Answer:

Step-by-step explanation:

(2x^(4)y^(-3))

= 2x^4/ y^3.

Answer:

500

Step-by-step explanation:

Answer:

1/2 hopefully this will help.

Step-by-step explanation:

Answer:

Sharsta got 12 chips, Nasreen got 18 chips, and Maseeha got 30 chips.

Step-by-step explanation:

To divide 60 chips among Sharsta, Nasreen, and Maseeha in the ratio 2:3:5, we need to first find the total number of parts in the ratio:

2 + 3 + 5 = 10

Then, we can find the share of each person by multiplying their ratio by the total number of parts and dividing by 10:

Sharsta: (2/10) x 60 = 12 chips

Nasreen: (3/10) x 60 = 18 chips

Maseeha: (5/10) x 60 = 30 chips

12,18,30

Step-by-step explanation:

Let chips got by sharsta , nasreen and maseeha be 2x ,3x,5x respectively

then,

2x+3x+5x=60

10x=60

x=6

so,

2x=12

3x=18

5x=30

Answer:

h = 17.5 m

Step-by-step explanation:

We have 2 similar right triangles as models of the situation

one has legs with George's height and shadow

the other is the height h of the tree and length of it's shadow

the corresponding sides of the 2 triangles are in proportion, that is

\(\frac{6.25}{h}\) = \(\frac{10}{28}\) ( cross- multiply )

10h = 175 ( divide both sides by 10 )

h = 17.5 m

There are 130 marbles in the bag. Given Data Ratio of the number of red marbles to the number of blue marbles = 4 : 7. Ratio of the number of blue marbles to the number of purple marbles = 2 : 3. There are 32 red marbles in the bag.We need to find out the total number of marbles in the bag.

First, we need to find out the number of blue marbles. Let's assume that there are 4x red marbles in the bag, then we can write the number of blue marbles as 7x according to the given ratio of red marbles to blue marbles.

Now, let's use the second ratio to find out the number of purple marbles. We know that the ratio of blue marbles to purple marbles is 2 : 3, which means for every 2 blue marbles, there are 3 purple marbles. Therefore, we can write the number of purple marbles as (3/2)×7x = 10.5x.

Now, we know the number of red, blue, and purple marbles. We are given that there are 32 red marbles. Therefore, we can write the following equation:

4x = 32

⇒ x = 8

Substituting the value of x in our calculations above, we get the number of blue marbles as:7x = 7×8 = 56And the number of purple marbles as:

(3/2)×7x

= (3/2)×7×8

= 42

Now, we can find the total number of marbles as the sum of the number of red, blue, and purple marbles:

Total number of marbles = Number of red marbles + Number of blue marbles + Number of purple marbles

= 32 + 56 + 42

= 130

Therefore, there are 130 marbles in the bag.

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The blue tiles on the floor is an illustration of proportions. The blue tiles will cover 25% of the floor

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From the complete question, the dimension of the floor is 4 ft by 4 ft.

So, the area of the floor

Area = 4 x 4

Area = 16

The blue tiles cover 4 square feet.

So, the percent of floor is:

= 4/16 x 100

= 1/4 x 100

= 25%

Hence, the blue tiles will cover 25% of the floor. Also, he doesn't need to buy another set of blue tiles.

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x = 1

Hi there !

3 + 3x - x + 2 = 3x + 4 | -3x

3 - x + 2 = 4

3 + 2 - 4 = x

x = 1

Good luck !

Answer:

3(x-4)(x-4) or 3(x-4)^2

Step-by-step explanation:

3x^2-24x+48

factor out 3

3(x^2-8x+16)

factor out the trinomial x^2-8x+16

3(x-4)(x-4)

Answer:

A(an)   altitude    of a prism is a perpendicular segment that joins the planes of the bases. (The height h is the length of one.)

Step-by-step explanation:

AN ALTITUDE -  An altitude of a triangle is a line segment that passes through a vertex and is perpendicular to (i.e. forms a right angle with) the base line (the side opposite the vertex). The expanded base of the altitude is the line that contains the opposing side. The foot of the altitude is the point where the extended base meets the altitude. The area of a triangle can be calculated using altitudes: one half of the product of an altitude's length and its base's length equals the triangle's area. As a result, the longest altitude is perpendicular to the triangle's shortest side. Through trigonometric functions, the heights are also connected to the triangle's sides.

Hence , the answer is an altitude .