the simple interest I ( in dollars) for a savings account is jointly proportional to the product of the time t (in years) and the principal P (in dollars). After five months, the interest on a principal of $3892 is $92. a) find the constant of variation.
b) what will the interest be after 3 years​

Answer:

The answer would be 8 cubic inches

Step-by-step explanation:

Answer: The answer is 14 Cubic In.

Step-by-step explanation: There is 10 Cubic In. in the bottom + the vertical 4 Cubic In. = 14 Cubic In.

Answer:

I'm pretty sure a set a decimal fractions is {1/4, 1/2, 3/4}

I think a set of whole numbers is {3, 4, 5.}

A set of integers might be {-2, -1, 0, +1.}

I'm am sure a set of natural numbers is {1, 2, 3.}

The set if rational numbers is {0.1, 0.2, 0.3} I think.

I am not that sure if my answers are right or not so sorry if this is incorrect.

Answer:

1-e

2-b

3-c

4-q

5-d    

Step-by-step explanation:

In this question, we have to match the left hand side to corresponding right hand side. On the right side we are given

a){3,4,5}

b){0,1,2,3}

c){-2,-1,0,1}

d){[tex]\frac{1}{4}[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{3}{4}[/tex]}

e){0.1, 0.2, 0.3}

1) a set of decimal numbers:

It is clear the the set of decimal numbers is e) {0.1, 0.2, 0.3}

2) a set of whole numbers is b) {0,1,2,3}

3) a set of integers is c)  {-2,-1,0,1}

4)  a set of natural numbers is a) {3,4,5}

5) a set of rational numbers is d) {[tex]\frac{1}{4}[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{3}{4}[/tex]}

Answer:

The correct answer options are A, B, C and D.

Step-by-step explanation:

A. Leg-angle (LA):

According to this theorem, if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

B. Hypotenuse-leg (HL):

If any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

C. Hypotenuse-angle (HA):

If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.

D. Leg-leg (LL):

If any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

Answer:

96

Step-by-step explanation:

Total number of people attending the history museum is 200

Surveyed people are 25

Out of the 25, 12 people said yes

Therefore; the fraction which said yes = 12/25

To find the total number of people expected to say yes out of those that attended the history museum;

Fraction of the sampled that said yes × total number of people that attended.

= 12/25 × 200

=  96

-3 < 0  Because -3 is less than 0.

Hope this helps ;P

Answer:

-3 > 3

Step-by-step explanation:

If you look at the number line, a negative number is just the positive number upside down. But a negative number is always greater than the positive number for your number line.

Answer:

you have the rounded part already rounded how it should be. for the mad I need a list of numbers. sorry!!

Answer:

x = - 2

Step-by-step explanation:

f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4, hence

x² + 4x + 4 = 0 ← This is a perfect square in the form

(x + a)² = x² + 2ax + a²

Hence 2a = 4 ⇒ a = 2, thus

(x + 2)² = 0

x+ 2 = 0 ⇒ x = - 2 ( 2 equal roots )

Value of x = - 2

Answer:

x = - 2

Step-by-step explanation:

Answer:

Go to brainfuse.com

Step-by-step explanation:

This website will give you one on one tutoring for free (they won't see your face!)

Answer:

See below.

Step-by-step explanation:

I will assume that 3n is the last term.

First let  n = k, then:

Sum ( k terms) =  7k^2 + 3k

Now, the sum of k+1 terms  = 7k^2 + 3k + (k+1) th term

=  7k^2 + 3k + 14(k + 1) - 4

=   7k^2 + 17k + 10

Now 7(k + 1)^2 = 7k^2 +14 k + 7 so

7k^2 + 17k + 10

=  7(k + 1)^2  + 3k  + 3

= 7(k + 1)^2 + 3(k + 1)

Which is the  formula for the Sum of k terms with the k replaced by k + 1.

Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.

But the formula is true for 1 term because  7(1)^2 + 3(1) = 10 .

So it must also be true for all subsequent( 2,3 etc) terms.

This completes the proof.

Inductive reasoning can include making generalizations based on specific instances, such as predicting that water freezes at 32°F based on past observations. The binomial theorem, a series expansion, is an example that can be proven using mathematical induction.

Understanding Inductive Reasoning

Inductive reasoning is a method of reasoning in which the premises seek to supply strong evidence for the truth of the conclusion.

While the conclusion of a deductive argument is certain, the truth of the conclusion of an inductive argument is probable, based upon the evidence given.

This form of reasoning allows us to create generalizations based on observations or patterns we have seen.

For instance, when we see that water freezes at 32° Fahrenheit, and we observe a temperature drop to 30°F at night, we can induce that there will be ice in the morning.

Mathematical Induction

Mathematical induction is a specific type of inductive reasoning that is used for proving that a statement is true for all natural numbers. It is a two-step process where we first prove that a base case is true, typically for n=1.

Then, we show that if the statement is true for an arbitrary positive integer n, this implies that it's also true for n+1.

This creates a domino effect, proving the initial statement for all natural numbers.

The binomial theorem is a classic example of series expansion that can be proven using mathematical induction.

The theorem expands powers of binomials in a form that involves summation of terms, and each term is a product of binomial coefficients and the variables raised to appropriate powers.

Series Expansions and Inductive Inferences

Series expansions in mathematics, such as the binomial theorem, are formulated based on patterns observed in specific instances.

These patterns are then generalized to hold for all numbers within the constraints of the theorem. In contrast, weak inductive inferences are those which cannot firmly establish a conclusion due to insufficient or irrelevant evidence.

Answer:

P' (-3,4)

Step-by-step explanation:

Reflected across the x axis so only y changes (opposite) but x will stay the same

If Point P (−3, −4) is reflected across the x axis then P' will be (-3, 4)

Answer:

P' (-3,4)

Answer:

The answer is (3, -4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

[tex]a^2+12^2=13^2[/tex]

[tex]a^2+144=169[/tex]               subtract 144 from both sides

[tex]a^2=25\to a=\sqrt{25}\\\\a=5[/tex]

Answer:

B

Step-by-step explanation:

Angles g and h are supplementary, which means they add up to 180 degrees.

So the equation would go g + h = 180.

Substitute 117 for g to get

117 + h = 180

Subtract 117 from each side.

h = 63.

The answer is B

Don’t trust me on it because I sorta use google

Answer:

Area=25 inches

Step-by-step explanation:

Formula for area of triangle is BxH/2 (base times height divided by two.)

So 5x10=50, 50/2=25

just 25in2 I just passed this question

Answer:

[tex]W>20[/tex]

Step-by-step explanation:

Let

L-----> the length of a rectangle

W---> the width of a rectangle

we know that

[tex]L=W+9[/tex] -----> equation A

[tex]W>20[/tex] -----> inequality B

The inequality B represent the equation that could be used to find the possible values of the width

The solution for the width of the rectangle  is all real numbers greater than 20 units

Answer:

7,800mL

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1 Liter = 1000 mL

7.8 L = x

Cross multiply

7.8 * 1000 = 1*x

x = 7800 mL

D

Answer:

C

Step-by-step explanation:

how i figured this out was not by using the table, but you can use the table

i just asked myself what two numbers multiplied together has a product of -12, one number must me negative

the two numbers must also add up to -4, meaning the bigger number had to be negative

the only answer that worked was 2 and -6

Answer: I think its C but im not positive!

Step-by-step explanation:

Answer:

Option D. is the correct option

Step-by-step explanation:

The graph of g(x) is the translation of y = ∛x, which passes through origin (0, 0).

The graph in the figure is showing a shift of 1.5 units downwards.

Therefore, the new translated function g(x) will be represented by

g(x) = ∛x - 1.5

This graph can create a confusion of being shifted on x-axis but when we plug in the values of x in the options A and B, parent graph gets changed.

Therefore, option D. is the answer.

Answer: C.  [tex]\dfrac{1}{6}[/tex]

Step-by-step explanation:

Given: A spinner has 6 equal sectors labeled A, B, C, D, E and F on it. The spinner is spun twice.

If it is given that the  spinner shows B on the first spin, then the total outcomes will be{ (B,A), (B,B), (B,C), (B,D), (B,E), (B,F)}=6

The number of favorable outcome = 1

Now, the probability of spinning B and then E, given that the spinner shows B on the first spin=[tex]\dfrac{1}{6}[/tex]

Answer: C. 1/6

Step-by-step explanation:

Answer:

Cars in one hour: 40 cars

Step-by-step explanation:

30 cars ---> 45 min

Xc ----------> 60 min

Xc = [(60min)*(30 cars)]/45 min

Xc = 40

Best regards

The easiest way to do this is to plot the points. I used the pythagorean theorem for this one, too. Add the side lengths to get the perimeter: 5 + 5 + 5 + 3 + √40 = 24.32455532 units or just 24 units.

Answer:

Step-by-step explanation:

To figure out the unit rate, divide 5.12 by 128. You should get 0.04, which is the unit rate or cost per ounce. To figure out how much the 96 oz can should be, multiply $0.04 times 96.

Your answer should be $3.84.

Final answer:

To maintain the same unit rate as the 128 ounce container of orange juice that costs $5.12, the supermarket should price the 96 ounce container at $3.84.

Explanation:

The student is asking how to calculate the price for a 96 ounce container of orange juice, given that a 128 ounce container costs $5.12, with the condition that the unit rate remains the same. First, we need to determine the unit rate for the orange juice in the 128 ounce container. To do that, divide the total cost by the number of ounces to find the cost per ounce:

$5.12 \/ 128  ext{ounces} = $0.04  ext{per ounce}

Now that we have the unit rate ($0.04 per ounce), we can calculate the cost for a 96 ounce container by multiplying the unit rate by the number of ounces:

96  ext{ounces} \times $0.04  ext{per ounce} = $3.84

Therefore, the supermarket should sell the 96 ounce container of orange juice for $3.84 to keep the unit rate the same as the 128 ounce container.

Answer:

D

Step-by-step explanation:

Answer:

ppl the answers A

Step-by-step explanation:

According to the triangle inequality if a, b, and c are lengths of the legs of a triangle then a + b > c. If you measure the segments, their measurements are 5, 5, and  

10

and 5 + 5 >  

10

. Therefore, Yes, the segments do meet the triangle inequality.

Step-by-step explanation:

Given:

There are 10 counters.

6 of the counters are white.

Two counters are drawn one after another without replacement.

To Find:

The probability that only one of the two counters is white

Explanation:

P(Only one of the two counters is white)

= P(white) x P( not white) + P(not white) x p(white)

Solution:

P(Only one of the two counters is white) = 6/10 x 4/9 + 4/10 x 6/9

P(Only one of the two counters is white) = 4/15 + 4/15

P(Only one of the two counters is white) = 8/15

Answer: The probability is 8/15

The probability that only one of the two counters is white will be [tex]8\div15[/tex] and this can be determined by using the probability formula.

Given :

The probability that only one of the counters is white will be:

[tex]\rm =(probability\; of \;white\; counter) \times (probability\; of\; not \;a\; white \;counter) + (probability \;of\; not\; white\;p counter )\times (probability\; of\; white \;counter)[/tex]

[tex]= \left(\dfrac{6}{10}\times \dfrac{4}{9}\right)+\left (\dfrac{4}{10}\times \dfrac{6}{9}\right )[/tex]

[tex]= \left(\dfrac{12}{45}\right)+\left (\dfrac{4}{15}\right )[/tex]

[tex]=\dfrac{8}{15}[/tex]

Therefore, the probability that only one of the two counters is white will be[tex]8\div15[/tex].

For more information, refer to the link given below:

https://brainly.com/question/23017717

Answer:

[tex]z=10[/tex]

Step-by-step explanation:

we have

[tex]\frac{1}{z}=\frac{(4/5)}{8}[/tex]

solve for z

[tex]z(\frac{4}{5})=8[/tex]

[tex]z=8*5/4[/tex]

[tex]z=10[/tex]

Two angles on a straight line will always equal 180 when combined.

180 - 45 = x

X = 135

Answer:

135°

Step-by-step explanation:

These two angles, 45° and x, are "supplementary," which means that they add up to 180°.

Thus, x = 180° - 45° = 135°

Answer:

a=16

Step-by-step explanation:

We want to take the 6 on the left side of the equal sign and do the equation in the reverse.

First since we are adding 2, we want to substract 2 away from 6.

6-2 = 4

Then, since we are dividing by 4, we want to multiply by 4.

4*4 = 16

We can check this to make sure it's correct by replacing a with 16:

16/4 = 4

4+2 = 6

The solution of the expression is,

⇒ a = 16

We have to given that;

Expression is,

⇒ 6 = 2 + a/4

Now, WE can simplify as;

⇒ 6 = 2 + a/4

⇒ 6 - 2 = a/4

⇒ 4 = a/4

⇒ a / 4 = 4

⇒ a = 4 × 4

⇒ a = 16

Thus, The solution of the expression is,

⇒ a = 16

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

The answer and work is the attached sheet!

Hope I helped~! :)

Answer:

3w - 4 1/2

Step-by-step explanation:

Expand the brackets.

6*1/2w - 6*3/4

6/2w - 18/4

3w - 18/4

3w - 4 1/2

Answer:

12

Step-by-step explanation:

Answer:

it is a for addend

Step-by-step explanation:

Answer:

D) GCD

D) 9(7 + 9)

Step-by-step explanation:

Given in the question an expression

44  + 12

4(11 + 3)

2 |  44, 12

2 | 22 , 6

  |  11 , 3

D) GCF = 2x2 = 4

C) LCM = 2x2x11x 3

        = 132

B) The difference between each number in an arithmetic sequence is called common difference.

A) A number which is added to another is called addend.

63 + 81

3  | 63 , 81

3  | 21 , 27

   |  7 , 9

GCF = 3x3

        =  9

Distributive property = 9(7 , 9)