Samuel can do 120 jumping jacks in two minutes.

What is the ratio?



How many jumping jacks can he do in one minute?

Answer: y=3(4)x

Explanation: I took the test

The function represented in the graph is y = 3 (4ˣ).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

From the given graph, consider any point.

Consider the point (0, 3).

That is, when x = 0, the value of y is 3.

We have the parent function as,

y = 4ˣ

Then the function represented will be of the form,

y = m (4ˣ)

Substitute the point (0, 3).

3 = m (4⁰)

3 = m × 1   [since any number raised to 0 is 1]

m = 3

So the function is y = 3 (4ˣ).

Hence the function is y = 3 (4ˣ).

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Your question is incomplete. The complete question is as given below in the image.

Answer:

price = 4.1

cost = 12.3

Step-by-step explanation:

price = 0.8+1.2+1.5+0.6 = p4.1

cost = 2.40+3.60+4.50+1.80 = $12.3

There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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As a result, the rectangular prism has a volume of 1 cubic centimeter.

The volume of an object is the area enclosed inside its three-dimensional boundaries. It is referred to as an object's capability on occasion.

We must multiply the rectangular prism's length, width, and height to determine its volume. Although we don't directly know these values, we can use the regions of the faces to locate them.

Let's use the letters l, w, and h to denote the prism's length, breadth, and height, respectively. The area of a top and bottom sides is thus determined to be lw = 10 cm², the front and rear faces are lh = 15 cm², and the left and right sides are wh = 6 cm².

These equations can be used to solve for every variable using the following descriptions of the other variables:

l = 10/w

h = 15/l

w = 6/h

When we add these expressions to the volume formula, we obtain:

V = lwh = (10/w)(6/h)(15/l) = 900/whl = 900/(6×10×15) = 1 cm³

As a result, the rectangular prism has a volume of 1 cubic centimeter.

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Answer:

All of them.

Step-by-step explanation:

Khan Academy 7th grade math, quiz 3.

All the values of j, 3,4, and 5 satisfy the inequality 10≥ j + 5. The correct options are A, B, and C.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given that the inequality is 10≥ j + 5. The inequality can be solved at different points as below,

At the value j = 3,

10 ≥ j + 5

10 ≥ 3 + 8

10 ≥ 8

10 is greater than 8.

At the value j = 4,

10 ≥ j + 5

10 ≥  4 + 5

10 ≥  9

10 is greater than 9.

At the value j = 5,

10 ≥ j + 5

10 ≥ 5 + 5

10 ≥  10

10 is equal to 10.

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The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.

When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.

The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.

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Answer:

Step-by-step explanation:

Solution:

A four-digit number 4ab5 is divisible by 55. Then the value of b - a is 1.

Answer:

no they are not proportional

The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.

To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;

V = fλ

where

V = displacement/time

F = 1/T

But;

Displacement = 10 in

Time = 2 seconds

V = 10/2 = 5 in/s

F = 1/2 = 0.5

λ = 5/0.5 = 2.5in

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Answer:

3.3333333333333333333333 just 3.3

Step-by-step explanation:

Answer:  120 ways

Step-by-step explanation:

given data:

no of chocolate = 10pcs

to be shared among three individuals who are John, Harry and Donald.

there is no restriction to how it can be shared amongst them.

this Problem can be solved using combination as the order with which it would be shared doesn’t matter.

solution:

n = 10

r = 3

= 10C3

= n! / ( n - r )! r !

= 10! / ( 10 - 3 ! ) 3!

= 10! / ( 7! ) 3!

= 120

the chocolate can be shared amongst them in 120ways.

Answer:

C

Step-by-step explanation:

Answer: 5 hours

Step-by-step explanation: 380/76

The bus will take 5 hours to reach Montreal from New York.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Distance between Montreal to New York = 380 miles

Speed of bus = 76 miles per hour

76 miles ⇒ 1 hour

1 mile ⇒ 1/76  hour

Multiply by 380 on both sides

380 miles ⇒ 380/76 hours = 5 hours.

Hence "The bus will take 5 hours to reach Montreal from New York".

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Answer:

the lines are //

thales

15/45=x/(x+10)

15(x+10)=45x

15x+150=45x

15x-45x=-150

30x=150

x=150/30 = 5

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Here the the line intersecting the two sides of the triangle is parallel to third side . So here we can use Thale's Theorem , according to which, If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio .

So , here ,

30/45 = 10/(10+x)

Simplify,

2/3 = 10/(10+x)

Cross multiply,

2(10+x) = 3*10

20 + 2x = 30

2x = 30 - 20

2x = 10

x = 5

Hence the value of x is 5 .

The value of x is (-∞, -5) ∪ (1, ∞).

Given is a polynomial, \(x^4+2x^3-12x^2+14x-5 > 0\),

Solving for x,

Factors =

\(x^4+2x^3-12x^2+14x-5\\ \\= \quad \left(x-1\right)^3\left(x+5\right)\)

Therefore,

\(\left(x-1\right)^3\left(x+5\right) > 0\)

\(x < -5\quad \mathrm{or}\quad \:x > 1\)

Hence the value of x is (-∞, -5) ∪ (1, ∞).

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Answer:

0.4 or 6/15

3×2 is 6

leaving 6/15 or 0.4

The temperature of coffee will reach 67 °C

The rate of temperature change is most directly related to the difference between the body temperature and room temperature.

\(\frac{dT}{dt} =-k(T-T1)\)

This equation's solution using the initial condition

T(0) = T0

T(t) = Tr + (T0 - Tr)

At the moment, the cooling rate

k × (T(t) - Tr)

We can write that according to the text

T1 = Tr + (T0 - Tr)

Solving the system of equations generates the unknown time:

t = \(\frac{69-20}{1} (ln\frac{95-20}{69-20})\)

t = 21 min.

Hence the coffee will reach the temperature 67°C in 21 minutes.

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John Legend has already paid off his loan before the fifth payment. Therefore, the final payment amount is 0.

To determine the final payment John Legend must make to pay off his 6-month loan, we need to first find out the amount of each payment. We can use the formula for a loan payment:

Payment = (Loan amount × Monthly interest rate) / (1 - (1 + Monthly interest rate\()^{(-Number of payments))\)

Here, the loan amount is 1,500.00, and the monthly interest rate is 12% / 12 = 1% per month. The number of payments is 6 since it's a 6-month loan. Plugging these values into the formula, we get:

Payment = (1,500.00 × 0.01) / (1 - (1 + 0.01\()^{(-6)\)) = 264.85

Now that we know the amount of each payment, we can determine the remaining balance after the fourth payment. Since John's loan is a 6-month loan, he should have made 4 payments at this point. Therefore, the remaining balance can be calculated as:

Remaining balance = Loan amount × (1 + Monthly interest rate)^Number of payments - Payment × ((1 + Monthly interest rate)^Number of payments - 1) / Monthly interest rate

Plugging in the values, we get:

Remaining balance = 1,500.00 × (1 + 0.01\()^4\) - 264.85 × ((1 + 0.01\()^4\) - 1) / 0.01 = 435.85

Now, we can calculate the final payment by subtracting the remaining balance from the amount of the fifth payment:

Final payment = Payment - Remaining balance = 264.85 - 435.85 = -171.00

However, a negative payment amount doesn't make sense. This means that John Legend has already paid off his loan before the fifth payment. Therefore, the final payment amount is 0.

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We need to find the height of the tree. It is represented by x in the following triangle:

Using the Pythagorean Theorem, we have:

Now, using the quadratic formula, we obtain:

Since x is the height of the tree, it needs to be a positive value. Then, only x₂ is possible.

Therefore, the height of the tree is 12 ft.

The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

(a) The average cost in 2011 is  

(b) A graph of the function g for the period 2006 to 2015 is shown below.

(c) Assuming that the graph remains accurate, its shape suggest that the average cost increases at a slower rate as time goes on.

Based on the information provided, we can logically deduce that the average annual cost (in dollars) for health insurance in this country can be approximately represented by the following function:

g(x) = -1736.7 + 1661.6Inx

where:

x = 6 corresponds to the year 2006.

For the year 2011, the average cost (in dollars) is given by;

x = (2011 - 2006) + 6

x = 5 + 6

x = 11 years.

Next, we would substitute 11 for x in the function:

g(11) = -1736.7 + 1661.6In(11)

g(11) = $2247.64

Part b.

In order to plot the graph of this function, we would make use of an online graphing tool. Additionally, the years would be plotted on the x-axis while the average annual cost would be plotted on the x-axis of the cartesian coordinate as shown below.

Part c.

Assuming the graph remains accurate, the shape of the graph suggest that the average cost of health insurance increases at a slower rate as time goes on.

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Complete Question:

The average annual cost (in dollars) for health insurance in a country can be approximated by the function g(x) = -1736.7 + 1661.6Inx, where x = 6 corresponds to the year 2006.

(a) Estimate the average cost in 2011.

(b) Graph the function g for the period 2006 to 2015

(c) Assuming that the graph remains accurate, what does the shape of the graph suggest regarding the average cost of health insurance?

Answer:

$24.00

because 1.2 percent of 2000 is 24

The interest on $2000 will be equal to $24.

While compound interest is based on both the principal and accrued interest, simple interest is based solely on the loan's principal amount.

The formula to calculate simple interest is given as:-

SI = ( P x R x T ) / 100

Given that the principal amount is $2,000 earned in one year at the rate of 1.2%.

The simple interest will be calculated as:-

SI = ( P x R x T ) / 100

SI = ( 2000 x 1.2 x 1 ) / 100

SI = $24

Therefore, the interest on $2000 will be equal to $24.

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Answer:

lol no thanks for the points

Step-by-step explanation:

dwadawdwadawdssadws

We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.

A thousand is a number that denotes the sum of 1,000 units or ten hundreds.

The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."

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Answer:

  -4x^2 -3x -5

Step-by-step explanation:

If you eliminate parentheses and collect terms, you get ...

  -4x^2 +2x -5(1 +x)

  = -4x^2 +2x -5 -5x

  = -4x^2 +x(2 -5) -5

  = -4x^2 -3x -5

Emily funded $6000 in stocks and $12,000 in bond funds. She also funded the remaining  $2,000 in her savings account.

Future value = $20,000

Simple interests rate = 1.5%

The return rate on bonds= 4.5%

The return rate on stocks = 6.2%

Total amount made on invests =  $942

Time period = 1 year

Let us assume that the amount of money Emily invested = x

Amount invested in stock = y

If the amount is twice = 2y

The interest earned = x * 0.015

Interest on bond = 2y * 0.045

Interest on stocks = y * 0.062

The equation will be:

(x * 0.015) + (2y * 0.045) + (y * 0.062) = 942

0.015x + 0.152y = 942  ------ Equation 1

Total future value is given as $20,000

x + 2y + y = 20000

x + 3y = 20000

x = 20000 - 3y

Substituting the x value in the first equation:

0.015(20000 - 3y) + 0.152y = 942

300 - 0.045y + 0.152y = 942

0.107y = 642

y = 6000

Therefore, we can conclude that Emily funded $6000 in stocks and $12,000 in bond funds.

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Answer:

Opposite numbers

Step-by-step explanation:

Opposite numbers are defined as numbers that have the same distance from zero but are on opposite sides of zero. So opposite numbers have the same absolute values. Another word for opposite numbers is additive inverses because when opposite numbers are added together the sum is always zero.

Answer:

26,676population

Step-by-step explanation:

Population in 2010 = 24,700

If it grows yearly by 1%, increment per year is expressed as:

1% of 24,700

= 1/100×24700

= 247 populations

After 8years, population increase will be 247×8 = 1976 population

Statesville population in 2018 will be expressed as;

Population in 2010+increase after 8years

= 24700+1976

= 26,676 population

Hence statesville population in 2018 will be 26,676population

a) The formula that describes the geometric sequence is of:

\(a_n = 20\left(\frac{7}{9}\right)^{n - 1}\)

b) The maximum height on the 6th bounce is of: 5.69 feet.

The definition of a geometric sequence is given by the equation presented as follows:

\(a_n = a_1(r)^{n - 1}\)

Which is used to calculate the nth term of the sequence.

In which the parameters of the equation are given as follows:

From the description in the text, the first term and the common ratio of the sequence are given as follows:

\(a_1 = 20, r = \frac{7}{9}\)

Then the formula that defines the sequence is given as follows:

\(a_n = 20\left(\frac{7}{9}\right)^{n - 1}\)

The maximum height, in feet, after the 6th bounce is given as follows:

\(a_6 = 20\left(\frac{7}{9}\right)^{6 - 1} = 5.69\)

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Answer:

Answer h = 34 i hope it is helpful have a nice day

Answer:

h = 34

Step-by-step explanation:

64 = h + 30

64-30 = h

34 = h

h = 34