The domain of a function (x) is x < 5, and the range is y< 4. What are thedomain and range of its inverse function, h-11 (c)?A. Domain: x25Range: y24B. Domain: x < 5Range: y<4C. Domain: x24Range: y25D. Domain: x<4Range: yc5

If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.

As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.

We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.

To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as

Interest (I) \(=(\frac{P*R*T}{100} )\)

where, "P" = Principle amount of Loan,

"R" = Rate of simple interest charged on the principle per annum, and

"T" = Time period within which, the loan is to be repaid.

Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year  = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)

And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.

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To prove that the triangles are congruent by ASA, the statement and reason could be used as part of the proof is option (A) ∠FGH ≅ ∠KGJ because vertical angles are congruent.

Here we have two triangle FHG and KJG,

The sides HF and the side JK are parallel

The length of the side of the HG and the length of the side JG are equal

HG ≅ JG

According to the ASA property of congruent, if the two angle and one side of the triangle are equal to the two angle and one side of the other triangle, then the both triangles are congruent

Here we have to prove that angle FHG and angle KJG are vertical angles

Here the vertical angles are congruent

Therefore, the statement that can be the part of proof is option (a) angle FGH ≅ angle KGJ because vertical angles are congruent.

I have solved the question in general, as the given question is incomplete

The complete question is:

Given: HF || JK; HG ≅ JG

Prove: FHG ≅ KJG

To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?

a) FGH ≅ KGJ because vertical angles are congruent.

b) JKG ≅ HFG because vertical angles are congruent.

c) FHG ≅ JKG because right angles are congruent.

d) HFG ≅ KJG because alternate interior angles are congruent.

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That's some nice handwriting :)

Eliminate \(k\) and solve for \(j\).

\(3 (6j - k) + (3k + 6j) = 3\cdot23 + 11 \\\\ \implies 18j - 3k + 3k + 6j = 69 + 11 \\\\ \implies 24j = 80 \\\\ \implies \boxed{j = \dfrac{80}{24} = \dfrac{10}3}\)

Now solve for \(k\).

\(6j - k = 23 \implies k = 6j - 23 \\\\ \implies k = 6\cdot\dfrac{10}3 - 23 \\\\ \implies \boxed{k = -3}\)

Answer:

80cm

Step-by-step explanation:

8 x 6/4 = 20

20 x 4 = 80

Answer:

0.5

Step-by-step explanation:

Hannah is in labor, she is 8 centimeters dilated. Shown in the diagram. Now, the perimeter of her puhtay and her child's head are 6/4. The fatctor of this is square b. Not a. To make Hannah's labor smooth, we need to figure out how much more she needs to dilate. since she is 8 centimeters, and the baby's head is 6/4. she will need 3 more centimeters until it is able to come out correctly. I hope this answered your question!! would love to answer more.

:)

Answer:

The Third Childs name was "June"

Step-by-step explanation:

Because  you said the first Childs name was "April" then the second one was "May", therefor you get "June" because It's "January, February, March, April, JUNE- on so on.

Answer:

Jhon

Step-by-step explanation:

tHe NaMe Is MenTiOnEd

Answer:

(5,30)

Step-by-step explanation:

Answer:

19,500

Step-by-step explanation:

You multiply 325 x 60 and you get 19,500

Answer:

A: $154.50

B: $86.15

C: $198.20

Step-by-step explanation:

Multiply the values.

Answer:

subtract 2 (- 2)

Step-by-step explanation:

the term to term rule is the change between each term in this series.

from 15 to 13, we subtract 2 (-2)

from 13 to 11, we subtract 2 (-2)

from 11 to 9, we subtract 2 (-2)

from 9 to 7, we subtract 2 (-2)

So, this is the term to term rule: subtract 2

Next term as per term rule of arithmetic progression is 5.

" Arithmetic progression is defined as the difference between two consecutive term is constant. Difference is known as common difference."

General form of Arithmetic progression

a, a + d, a + 2d , ........, a + nd

Common difference 'd' = \(a_{n} -a_{n-1}\)

According to the question,

Given terms are,

15, 13, 11, 9, 7

\(a_{1} =15\\\\a_{2} = 13\\\\a_{3} = 11\\\\a_{4} = 9\\\\a_{5} = 7\)

Common difference = \(a_{2} -a_{1}\)

                                 = 13 - 15

                                 = -2

Common difference = \(a_{3} -a_{2}\)

                                  = 11 - 13

                                  = -2

Given sequence is arithmetic progression with common difference -2

Next term after 7 as per term rule of arithmetic progression is

\(a_{6} = 7-2\)

   = 5

Hence, Next term as per term rule of arithmetic progression is 5.

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Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.

The number of men which it will take which will be needed for the same job to be completed in 2 days is; Choice A; 9 men.

It follows from the task content that 6 men did the work in 3 days and hence, to determine the number of men capable of completing the work 2 days, we must evaluate as follows;

Total work = 6men × 3 days = 18 men days.

Hence, for 2 days; = 18/2 = 9 men.

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We can see here that the measurements that can create more than one triangle is option A. The one that refers to the three angles measuring 75 degrees...

Triangles are known to be three-sided polygons having three vertices. It is one of the basic geometric forms. The name for a triangle with vertices A, B, and C is triangle ABC.

We must think about the triangle inequality theorem, which states that the total of the lengths of any two sides of a triangle must be greater than the length of the remaining side, to figure out which measurements can produce more than one triangle.

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Given propositions: p ="Swimming at the New Jersey shore is allowed"

q = "Sharks have been spotted near the shore"

We need to express each of these compound propositions as an English sentence.

a) ¬q : not q

Sentence: Sharks have not been spotted near the shore.

b) p ∧ q : p and q

Sentence: Swimming at the New Jersey shore is allowed and sharks have been spotted near the shore.

c) ¬p ∨ q  : not p or q.

Sentence: Swimming at the New Jersey shore is not allowed or sharks have been spotted near the shore.

d) p → ¬q  : If p then not q.

Sentence: If swimming at the New Jersey shore is allowed then sharks have not been spotted near the shore.

e) ¬q → p : If not q then p.

Sentence: If sharks have not been spotted near the shore then swimming at the New Jersey shore is allowed .

f) ¬p → ¬q : If not p then not q.

Sentence: If swimming at the New Jersey shore is not allowed then sharks have not been spotted near the shore.

g) p ↔ ¬q : p if and only if not q

Sentence: Swimming at the New Jersey shore is allowed if and only if sharks have not been spotted near the shore.

h) ¬p ∧ (p ∨ ¬q) : not p and, p or not q.

Sentence: Swimming at the New Jersey shore is not allowed and, swimming at the New Jersey shore is allowed or sharks have not been spotted near the shore.

The English sentence of each compound proposition is discussed below.

Given propositions,

p is "Swimming at the New Jersey shore is allowed".

And q is "Sharks have been spotted near the shore".

We have to express each of these compound propositions as an English sentence.

a. ¬q means not q.

Since,q is "Sharks have been spotted near the shore".

So Sentence becomes, Sharks have not been spotted near the shore.

b. p ∧ q means we have to use and to combine both the propositions.

So sentence becomes, Swimming at the New Jersey shore is allowed and sharks have been spotted near the shore.

c. ¬p ∨ q means not p or q.

So sentence becomes, Swimming at the New Jersey shore is not allowed or sharks have been spotted near the shore.

d. p → ¬q means If p then not q.

So sentence becomes, If swimming at the New Jersey shore is allowed then sharks have not been spotted near the shore.

e. ¬q → p means If not q then p.

So sentence becomes, If sharks have not been spotted near the shore then swimming at the New Jersey shore is allowed .

f. ¬p → ¬q means If not p then not q.

So sentence becomes, If swimming at the New Jersey shore is not allowed then sharks have not been spotted near the shore.

g. p ↔ ¬q means p if and only if not q.

So sentence becomes, Swimming at the New Jersey shore is allowed if and only if sharks have not been spotted near the shore.

h. ¬p ∧ (p ∨ ¬q) means  not p and, p or not q.

So sentence becomes, Swimming at the New Jersey shore is not allowed and, swimming at the New Jersey shore is allowed or sharks have not been spotted near the shore.

Hence the sentences as a compound proposition is discussed above.

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Answer:

\(x = \frac{1}{32} \\ \)

Step-by-step explanation:

\( {2x}^{(2 - 3)} = 64 \\ {2x}^{ - 1} = 64 \\ \frac{2}{x} = 64 \\ x \times \frac{2}{x} = 64 \times x \\ 2 = 64x \\ \frac{2}{64} = \frac{64x}{64} \\ \frac{1}{32} = x \\ \)

Answer:

The value is in the tenths place which means the value is 74

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The focus of a parabola is always inside the parabola; the vertex is always on the parabola; the directrix is always outside the parabola.

The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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Answer:

17.04, 17.34, 17.7

Solution

solution given;

let length be x

its

volume be x ³

we have when length is increased by 1cm volume increased by 19 cm³ so

(x+1)³=x³+19cm³

x³+1³+3x²+3x=x³+19

3x²+3x-18=0

3(x²+x-6)=0

x²+3x-2x-6=0

x(x+3)-2(x+3)=0

(x+3)(x-2)=0

either

x=-3 rejected

or

x=2cm

Hence the correct answer for the length of each cube = 2cm

Answer:

$1.16

Step-by-step explanation:

Area of the circle

a = \(\pi r^{2}\)

a = (3.14)\(1.5^{2}\)

a = 3.14(2.25)

a = 7.065

Area of the triangle

a = 1/2bh

a = 1/2(1.5)(1)

a = .75

There are two triangle so the blue area is 1.5 \(ft^{2}\)

.33 x 1.5 = .495  This is the cost of the blue paint

The circle minus the triangle is the area of the whit part

7.065 - 1.5 = 5.565

5.565 x .12 = .6678

The total cost of paint will be .495 + .6678 = 1.1628 Rounded to the nearest cent is $1.16

Helping in the name of Jesus.

Answer:

-13

Step-by-step explanation:

To add fractions, find the lowest common denominator and then combine

Answer:

Step-by-step explanation:

The legs of A seem to be about 2 and slightly less than 2 units in length.

The legs of B seem to be about 4.5 and 4.5 units in length

4.5/2 = 2.25 or 225% increase so NONE OF THE ABOVE answer is correct.

If we ASSUME that the legs of B are supposed to reach 5 and 5 (they don't) or the legs of A are both supposed to be 1.8 (hard to say, certainly the bottom one seems to exceed that)

then the dilation would be  5 / 2 = 2.50 or 250%

Which means we have an option of B) or C) to choose from

Reflecting A across the y axis would put B in the first quadrant so NO.

Rotating A  270° CW about the origin would give us B in the third quadrant which is correct.

So the CLOSEST answer is option C) (dilation not with standing)

2x-9y = 4

For the x-intercept y= 0

2x -9(0)= 4

2x = 4

x= 4/2

x= 2

x-intercept = (2,0)

For the y-intercept x = 0

2(0) -9y = 4

-9y = 4

y = -4/9

y- intercept = (0, -4/9)

Answer:

XYZ = LMN

Y = M

X = L

XZ = LN

Step-by-step explanation:

Y = 86, M = 86, M = Y

X = 38,  L = 38, X = L

Z = 56, N = 56, Z = N

A,B,C,and F I just did this problem on edge

The expression which shows how many grams of raisins are in the bowl will be

(0.01x) * 150 + (0.01y) * 250

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The expression which shows how many grams of raisins are in the bowl will be:

= (x% × 150) + (y% × 250)

= (0.01x) * 150 + (0.01y) * 250

This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.

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Answer:

Segundo día: 3,720 metros

Step-by-step explanation:

6500 - 2780 (primer dia) = 3,720

No tenemos que solucionar cuanto en el tercer dia pq llego ala sima ese dia.

Based on the data, the mean would be the best measure of center to describe a typical value in the data set.

To create a dot plot, we can list the numbers in order and place a dot above the corresponding value on the number line.

20 ••

21 ••

22 •

23 ••••

24 •••••

25 ••

26 ••

27 •

The dot plot shows a relatively symmetric distribution of the data, with the majority of values clustered around the middle. Therefore, the mean would be a good measure of center to describe a typical value of the data set.

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Answer:

0.969

Step-by-step explanation:

Given that:

Mean lifetime (m) = 520 hours

Variance = 900

Hence, standard deviation (s) = √900 = 30

Probability that bulb will last for at most 576 hours

X ≤ 576

Obtain the standardized score :

Using the relation :

Zscore = (x - m) / s

Zscore = (576 - 520) / 30

Zscore = 56 / 30

Zscore = 1.867

P(Z ≤ 1.867) : using the z probability calculator ;

P(Z ≤ 1.867) = 0.96905

Hence, P(Z ≤ 1.867) = 0.969