The ratio of the quantities of salt to baking soda needed to complete a science experiment is 3:7. What is the quantity of salt in grams needed for this experiment, if 420 grams of baking soda is used to complete the experiment?

The sequence 3, 1,1/3 is a geometric sequence

The 7th term of the sequence is 1/243

The sequence is given as:

3, 1,1/3

The above sequence is a geometric sequence with the following parameters:

The nth term is then calculated as:

Tn = ar^(n-1)

So, the 7th term is:

T7 = ar^6

Substitute known values

T7 = 3 * (1/3)^6

This gives

T7 = 1/3^5

Evaluate

T7 = 1/243

Hence, the 7th term of the sequence is 1/243

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Answer:

6/5 or 1 1/5

Edit:

soo

[tex]4\sqrt{5} + 2\sqrt{5}[/tex] = [tex]6\sqrt{5}[/tex]

since they both are being multipled to the square root of 5, you can just add them (i think)

Step-by-step explanation:

6 times the square root of 5

you add 4 and 2

Answer:7.0711

Step-by-step explanation:

An expression has numbers, variables, and mathematical operations. Patrick's net worth is represented by the expression $9,500-$1,900.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the value of the assets with Patrick is $9,500, while the liabilities are $1,900. Thus, his net worth will be the difference between his assets and his liabilities.

Thus, Patrick's net worth of Patrick can be written as,

[tex]\rm Net\ worth = Assets-Liabilities[/tex]

                [tex]= \$9,500-\$1,900[/tex]

Thus, Patrick's net worth is represented by the expression $9,500-$1,900.

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Answer:

  negative

Step-by-step explanation:

The sum of negative numbers is always negative.

Answer:

if you use math    way it gives you simple answers im in 11th grade math and it works wonders also you dont get a GPA untill you reach highschool so tbh math in middleschool and junior high doesnt rlly count yk and there is also a no child left behind act in 42 states so you wont have to repeat the grade unless your parents want you to repeat the grade but one class wont make you reapeat the grade

Step-by-step explanation:

Answer:

Hello, I am sure your aunt is already proud of you! If you need help I am willing to do so. Do not try to overwork yourself math is hard. Just do your best and you will succeed. Do worry about your C anyways because colleges normally do not look at grades from 8th. It usually starts in the 9th grade. Just keep doing your best and keep your head high. You will do great things!

Step-by-step explanation:

The scatter plot that shows the cost of long distance phone call is an illustration of a linear regression

See attachment for the line of best fit

From the attached graph, the line passes through the points:

(x,y) = (0,0) and (40,4)

The equation is then calculated using:

y = y2/y1 * x

This gives

y = 4/40 * x

Evaluate

y = 0.1x

This means that x = 120

So, we have:

y = 0.1 * 120

y = 12

Hence, the predicted cost of long distance call of 120 minutes is $12

The answer in part C is calculated by substituting 120 for x in  the equation of the line of best fit

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Answer:

The measure of angle 7 is 47°

The value of x = 69

Step-by-step explanation:

(a) The measure of angle 7 is also 47° { therefore angle 5 angle 7 are vertically opposite angles so they are equal }

(b) if the angle 6 is represented by (2x-5) so the equation will be (2x-5) + angle 5 = 180° { linear pair}

(c)

=> 2x-5+47 = 180

=> 2x + 42 = 180

=> 2x = 180 -42

=> 2x = 138

=> x = 138/2

=> x = 69

Answer:

See below ↓↓↓

Step-by-step explanation:

(a) ∠7 = ∠5 (vertically opposite angles)

(b) ∠5 and ∠6 form a line, so their sum is equal to 180°, which is the angle of a straight line. Therefore, our equation :

(c) Solving for x :

The rate of change of the area as a function of time is:

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

Remember that for a circle of radius R, the area is:

A = 3.14*R^2

Now, if the radius increases at a rate of 4 ft/min, then we can rewrite R as:

R(t) = R₀ + 4ft/min*t

Where t is the time in minutes, and R₀ is the initial radius.

So the area function is:

A(t) = 3.14*(R₀ + 4ft/min*t)^2

The rate of change is given by the differentiation with respect to t, it is:

A'(t) = 2*3.14*(R₀ + 4ft/min*t)*(4ft/min)

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

The rate at which the area increases, as a function of time, is given by:

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

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Answer:

-4 and 4

Step-by-step explanation:

You count between the zeros as when you jump on a number line or just don't count the zero

-4, -3, -2 ,-1, 0, 1, 2 ,3, 4

Hope this helps

The two numbers are -9 & 9

In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

Given here: Two opposite numbers who have a difference of 18

Thus the two numbers must be 9 units from either side of the origin.

Therefore the only possible number is -9 & 9

Hence, The two numbers are -9 & 9

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#SPJ2

Answer:

C. 1,768

Step-by-step explanation:

162.8 times 60 equals 9,768

9,768 minus 1,768 is 8000

Incorrect:

A-Reflection across line AC

B-Reflection across line BD

C-vertical translation

Correct:

D-Rotation about the center of the square

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Answer:

  192.6 square yards

Step-by-step explanation:

The area of a regular pentagon can be found using the formula for any regular polygon.

  A = (n/2)r²·sin(360°/n) . . . . radius r, n sides

For a pentagon, the number of sides is 5, so this becomes ...

  A = 2.5r²·sin(72°)

__

Using the given value of radius, the area is ...

  A = 2.5(9 yd)²·sin(72°) = 2.5 · 81 · 0.951057 yd²

  A ≈ 202.5 · 0.951057 yd²

  A ≈ 192.589 yd²

The area of the pentagon is about 192.6 square yards.

_____

Additional comment

We're not sure what "six steps" you're supposed to follow. The necessary steps appear to be ...

Here, the formula for a pentagon can be simplified somewhat by precomputing the value of 2.5×sin(72°) ≈ 2.37764129074. Then the formula for the area is ...

  A = 2.37764129074·r² . . . . . area of regular pentagon with radius r

Answer:

C'(-3, -3)

D'(-2, 1)

E'(-1, 0)

F'(0, -2)

Step-by-step explanation:

Remember that coordinates are written in the format (x, y).

To solve this problem, add 2 to x and subtract 2 from y for each coordinate. Going down the list and applying this to all of them, you get:

C = (-5, -1) -> (-3, -3)

D = (-4, 3) -> (-2, 1)

E = (-3, 2) -> (-1, 0)

F = (-2, 0) -> (0, -2)

male the question little more clear

Answer:

Value = 5 + 2n, where in is the sequence number, starting with n = 0.

Step-by-step explanation:

The sequence is predicted by adding 2 for each step.  The formula for the number at point n is given by 5+2n, starting with n = 0:

n  Value

0      5

1       7

2      9

3     11

4     13

5     15

6     17

7     19

8    21

9    23

10   25

Answer:

y=3/5x-7

Step-by-step explanation:

hope this helps

Answer:

the answer is c sir

pls brainly me

thx and im blessed to

answer this thx you

Answer:

b= -18

Step-by-step explanation:

See attached image.

Formulate the equation for the line by calculation the slope and adding the y-intercept, as shown.  The y-intercept if the value of y when x = 0.  The equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept.  Note that this b is not the same b in the question (8,b).  The b in the question may be calculated once the equation is found:  y = -3x+6, where -3 is the slope and 6 is the y-intercept (0,6).

Use x = 8 in this equation.  y = -3(8)+6,  y = -18

The point is (8,-18), so b is -18.

Answer:

if a box contains 20 balls in which all are white then the probability of selecting non white is 0

Answer:

Both probability and statistics are considered to be part of algebra due to the fact that they both deal with equations and variables. Also last semester I had Algebra II with statistics and we dealt with probability & statistics.

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer:

Both probability and statistics can be considered to be part of algebra as they deal with equations and variables.

Probability and statistics are related areas of mathematics that concern themselves with analyzing the relative frequency of events.

Step-by-step explanation:

The two perfect square trinomial perfect are x^2 − 4x + 4 and x^2 + 10x + 25.

A mathematical expression with three terms or three monomials is called a trinomial.

Polynomials having only three terms are known as trinomials.

A perfect square trinomial is an algebraic expression that takes the  form

ax^2 + bx + c,

A perfect square trinomial is gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).

Therefore, the two perfect square trinomial perfect are x^2 − 4x + 4 and

x^2 + 10x + 25.

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Answer: Options C and D are correct

Step-by-step explanation: i took the test

Answer:

554 N

Step-by-step explanation:

We're looking for the magnitude of the force - angles don't matter.

We need to resolve the two forces.

As you can see in the attached drawing, this basically just becomes Pythagoras.

[tex] {f}^{2} = {355}^{2} + {425}^{2}[/tex]

[tex]f = \sqrt{ {355}^{2} + {425}^{2} } [/tex]

[tex]f = 553.76[/tex]

The correlation coefficient that represents the weakest correlation amongst the given options is -0.1.

Correlation is a statistical measure used to measure the relationship that exists between two variables. A value of one represents a perfect correlation. A value of zero signfies that the variables have no relationship.

So, the correlation coeffieicent with a value closest to zero would have the weakest correlation.

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Answer:

53°

Step-by-step explanation:

Hypotenuse is the longest side and it is opposite to angle 90°

[tex]\sf Sin \ B = \dfrac{Opposite \ side \ of \ angle \ B}{hypotenuse}\\\\[/tex]

         [tex]= \dfrac{4}{5}\\\\=0.8[/tex]

   [tex]B = Sin^{-1} \ (0.8)\\[/tex]

B = 53°

9000 ways to create 4-digit passwords using digits from 0 to 9 that the first character can't be 0, but not using the digit 0 as the first character.

We have to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

Here we have 4 selections.

Now let's find the number of options for each of these:

First character = 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Second character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Third character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Fourth character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The total number of different combinations is just the product of these 4 numbers:

C = 9×10×10×10 = 9,000

So, we can conclude that the correct option is D.

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Answer:

d

Step-by-step explanation:

trust

C = 81.68 to 2 decimal place

C= pi x diameter

= pi x 26

= 26 pi

= 81.6814.....

13 x 2 =26

Hope this helps!

Answer:

width is 5, length is 8

Answer: the person ab0ve me ISDBig. BrainnnN

Step-by-step explanation:

Answer:

4 servings

Step-by-step explanation:

You do 2 2/3 divided by 2/3. First you change 2 2/3 to 8/3. Now, you change 2/3 to it's reciprocal; 3/2. Now you change division to multiplication and find your equation; 8/3 x 3/2. You cancel out both the threes, and find 8/2, or simplified, 4.

Answer:

4 servings

write 2/3x4, put 1 under 4

2x4=8

3x1=3

8/3

8/3 simplified is 2 2/3

Step-by-step explanation: