Of the following, which is the first time after 11:30 that the minute and hour hands of my circular alarm clock no longer form an obtuse angle?
a. 11:40
b. 11:41
c. 11:42
d. 11:43
e. 11:44
f. 11:45
g. 11:46 ​

Answer:

4

Step-by-step explanation:

We start with the smaller shape. We look at each coordinate and we multiply by 4. That will give us the coordinates for the bigger shape.

Answer:

GRAPH OF 3x + y = 3 (written on attachment)

GRAPH OF 2y = 10 - 6x (written on attachment)

Perimeter = a + b + c = 30

Area = 1/2 x a x b = 30

Multiples of 30: 2, 3, 5, 6, 10, 12, 15

For perimeter c = 30- (a+b)

C= sqrt( a^2 + b^2)

Using the possible combinations of the above:

5 and 12:

C = sqrt(5^2 + 12^2) = 13

5 + 12 + 13 = 30 for the perimeter

Area = 1/2 x 5 x 12 = 30

The sides are 5, 12 and 13 cm

Answer:

12 cm, 5 cm,  13 cm

Step-by-step explanation:

Sides of triangle:

Perimeter:

Area:

As per Pythagorean theorem, side c= √(a²+b²):

Considering ab = 60

Again using ab= 60 to find out sides:

Solving the quadratic equation, its positive root is:

Then we get the rest:

Andrea earns a total of $48 for washing 6 cars at the rate.

By using the cross multiplication approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa.

Using the cross multiplication method, we may determine the answer to a pair of linear equations. Using the mathematical rule of three, we may determine the answer based on proportions. The best illustration is cross multiplication, where we can write in a proportion to determine the values of unknown variables.

Given that,

$32 = 4 cars

$x = 6 cars

Using the method of cross multiplication:

x = 32(6) / 4

x = $48

Hence, Andrea earns a total of $48 for washing 6 cars at the rate.

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Answer:

3 hours

Step-by-step explanation:

y = mx + b

for each hour you are charged 15 dollars. for every 1 hour, you are charged $15.

y = 15x

you must also add the base fee of 35

y = 15x + 35

if you know that y = 80,

80 = 15x + 35

solve for x

x = 3

Answer: 35 + 15=50

Step-by-step explanation: this is just for part 1

Answer:

Step-by-step explanation:

Step-by-step explanation:

say you have 1 1/4 what you would do is you would multiply 4*1 which is 4+ the top number of the fraction which is 4+1= 5 so now your fraction in is 5/4 .

Answer: The​ student's estimate is off by 12%

Answer:

x = 70

Step-by-step explanation:

Answer:

C. (0, 14)

Step-by-step explanation:

g(x) = f(x) + 9

g(x) = -3x + 5 + 9

g(x) = -3x + 14

y = mx + b

b = 14

The value of y - intercept of the function are,

⇒ (0, 14)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

the two functions given below.

⇒ f(x) = -3x+5

And, g(x) = f(x)+9

Hence, We get;

g(x) = f(x) + 9

g(x) = -3x + 5 + 9

g(x) = -3x + 14

So, The value of y - intercept of the function are,

⇒ y = 14

⇒ (0, 14)

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Answer:

Step-by-step explanation:

The required, after 2 years, there will be approximately £1,815 in the bank account following the given interest rate.

To calculate the amount in the bank account after 2 years with a 10% interest rate, we need to apply compound interest. The formula for compound interest is:

\(A = P(1 + r/n)^{nt}\)

Where:

A = the final amount

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

Given:

P = £1,500

r = 10% = 0.10 (as a decimal)

n = 1 (interest is compounded annually)

t = 2 years

Now, let's calculate the final amount (A):

\(A = \£1,500 * (1 + 0.10/1)^{1*2}\)

\(A=\£1,815\)

Thus, after 2 years, there will be approximately £1,815 in the bank account.

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the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587

The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.

To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.

We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.

We the look up the probability for a value of 1 in the z-table, which is 0.1587.

This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.

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Answer:

9 6/8, 9 3/4. 9.75

Step-by-step explanation:

1 1/4 would equal 10/8 if she has 10 7/8 then you'd take 7/8 out of 10/8 which would leave you with 2/8 left which you'd take out of the whole number 10 which would leave you with 9 6/8

simplified answer is 9 3/4

or: 9.75

Given:

The length of first ribbon is, 7 10/27 yards.

The length of second ribbon is, 7 3/4 yards.

The length of third ribbon is, 14 5/9 yards.

The objective is to find the total length of the yard.

The total length of the yard can be calculated as,

For A: Bar graph; for B: Histogram; for C: Pie chart; and for D:  Bar graph would be appropriate graphical representations.

a. The number of sales for your online company on each of the seven days in the past week:

The best graphical display to use here would be a bar graph. This is because a bar graph is appropriate for showing the distribution of a categorical variable, and the days of the week can be considered a categorical variable. The bar graph can clearly show the number of sales for each day of the week, making it easy to compare sales across days.

b. The amounts of each of the sales on Monday of the past week:

A histogram would be the best choice for this scenario. A histogram is used to represent continuous data, and sales amounts are continuous data. The histogram can be used to show the frequency of sales amounts within a specific range, providing a clear visual representation of the distribution of sales amounts on Monday.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week:

A Pareto chart would be the best choice for this scenario. A Pareto chart is used to show the relative frequency or size of problems or categories, with the largest categories displayed on the left and the smallest on the right. The Pareto chart can clearly show the number of items bought by each customer, making it easy to see which customers made the most purchases.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week:

A bar graph would be the best choice for this scenario. This is because a bar graph can clearly show the distribution of the total sales amount for each customer, making it easy to compare the total sales among customers.

"

Complete question

Which graphical display should you use? For each of the following scenarios, decide which graphical display (pie chart, bar graph, Pareto chart, stemplot, or histogram) you would use to describe the distribution of the variable. Give a reason for your choice and if there is an alternative choice that would also be reasonable, explain why your choice was better than the alternative.

a. The number of sales for your online company on each of the seven days in the past week.

b. The amounts of each of the sales on Monday of the past week.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week.

"

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The eigenvalues of [A] are λ1 = -1 and λ2 = 1, with corresponding eigenvectors [1, -1, 0] and [0, 0, 0], respectively.

To find the matrix for the linear transformation T, which reflects all vectors in R3 through the xy plane, we can consider the effect of T on the standard basis vectors e1, e2, and e3:

T(e1) = e1

T(e2) = e2

T(e3) = -e3

This tells us that the first two columns of the matrix for T will be the standard basis vectors e1 and e2, and the third column will be -e3. Thus, the matrix for T is:

[A] = [1 0 0;

0 1 0;

0 0 -1]

To find the eigenvalues and eigenvectors of this matrix, we can solve the characteristic equation det([A] - λ[I]) = 0, where [I] is the 3x3 identity matrix. This gives us:

\(det([A] - λ[I]) = det([1-λ 0 0; 0 1-λ 0; 0 0 -1-λ])\\= (1-λ)(1-λ)(-1-λ)\\= -(λ+1)(λ-1)^2\)

Therefore, the eigenvalues of [A] are λ1 = -1 (with algebraic multiplicity 1) and λ2 = 1 (with algebraic multiplicity 2).

To find the eigenvectors corresponding to these eigenvalues, we can solve the systems of equations ([A] - λ[I])v = 0 for each eigenvalue. For λ1 = -1, we have:

([A] + [I])v = [0 0 0]'

which gives us the equation:

x + y = z

Thus, the eigenvectors corresponding to λ1 are of the form [x, y, z] where x + y = z. One such eigenvector is [1, -1, 0].

For λ2 = 1, we have:

([A] - [I])v = [0 0 0]'

which gives us the equations:

x = 0

y = 0

z = 0

Thus, the eigenvectors corresponding to λ2 are all vectors of the form [0, 0, 0].

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Answer:

65°

Step-by-step explanation:

Answer:

1.4.3

2.0.25

3.6.2

4.0.875

Answer:

-6 degrees each minute

Step-by-step explanation:

if the temperature fell 48 degrees in 8 minutes, we must divide 48 by 8.

48 / 8 = 6

It fell 6 degrees every minute

Since we are talking about temperature dropping, it is negative

-6 degrees each minute

Answer:

It fell 6 degrees each minute

Step-by-step explanation:

I think you divide 48 by 8 so yeah it falls 6 degrees per minute if every fall is the exact same. You are welcome

Therefore, (b) x = -10 is the result that is a solution of the rational equation that must be ignored due to the context.

Any equation in algebra that can be written in standard form as where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation. In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler. ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem. The answer could be simple or complicated.

Here,

1/x+1/(x+18)=1/40

x+18+x/x(x+18)=1/40

2x+18/x²+18x=1/40

40(2x+18)=x²+18x

80x+720=x²+18x

x²-62x-720=0

On solving the quadratic equation,

x=-10,72

So, the value that is a solution of the rational equation that must be discarded because of the context is (b) x = -10.

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The solution of the system of equation is (3, 5) and (–4, 12) [option A]

The given system of equations is:

x + y = 8

y = x² – 4

To solve for x and y, we can substitute the second equation into the first equation for y:

x + (x² - 4) = 8

Simplifying, we get:

x² + x - 12 = 0

Now we can use the quadratic formula to solve for x:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 1, and c = -12

x = (-1 ± √(1² - 4(1)(-12))) / 2(1)

x = (-1 ± √(1 + 48)) / 2

x = (-1 ± 7) / 2

Solving for x gives us two possible values: x = 3 or x = -4.

To find the corresponding values of y for each value of x, we can substitute them into either of the original equations. Using y = x² - 4:

When x = 3, y = 3² - 4 = 5

When x = -4, y = (-4)² - 4 = 12

Therefore, the solution to the system of equations is (3, 5) and (-4, 12), which is answer choice (a).

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Answer:

https://learning-ph.com/math/question7489744

pls check this site

Step-by-step explanation:

Answer:

104 m²

Step-by-step explanation:

There is a 1 m sidewalk around the garden

Then length = 30 + 1 + 1 = 32 m

and width = 20 + 1 + 1 = 22 m

Area = 32 × 22 = 704 m²

Area of garden = 30 × 20 = 600 m²

Area of sidewalk = 704 - 600 = 104 m²

Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

10 Difficult Problems Quantum Computers can Solve Easily-

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

Hello ;)

What is the product square of \(\sqrt{3}\) and \(\sqrt{32}\) in simplest radical form ?

\(\sqrt{3}\) × \(\sqrt{32}\)

= \(\sqrt{3}\) × \(\sqrt{8*4}\)

= \(\sqrt{3}\) × \(\sqrt{8}\) × \(\sqrt{4}\)

= \(\sqrt{4}\) × \(\sqrt{8*3}\)

= \(2\sqrt{24}\)

= \(2\sqrt{4*3*2}\)

= \(2\) × \(\sqrt{4}\) × \(\sqrt{3*2}\)

= \(4\sqrt{6}\)

:-)

Answer:

264 canned drinks

Step-by-step explanation:

Let

canned drinks in stock initially = x

Canned drinks sold out = 1/2 of x

= 1/2x

Canned drinks remaining in stock = x - 1/2x

= 1/2x

New restock = 68 canned drinks

Total drinks in stock presently = Canned drinks remaining in stock + New restock

200 = 1/2x + 68

200 - 68 = 1/2x

132 = 1/2x

x = 132 ÷ 1/2

= 132 × 2/1

x = 264 canned drinks

canned drinks in stock initially = x = 264 canned drinks

Answer:

C

Step-by-step explanation:

all x values is domain, all y values are range

Answer:

Its c

Step-by-step explanation:

Domain = x value

Range = y value

Step-by-step explanation:

Decide on the number of classes.

Determine the range, i.e., the difference between the highest and lowest observations in the data.

Divide range by the number of classes to estimate approximate size of the interval

hope it helps.

As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .

The initial price of the car is set at P = 18300 (units)

The price after lowering drom P becomes A= 16000 (units)

Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.

The formula for calculating percentage change is given as follows,

Change in percentage = [(Change in value)/ ( Initial value) ]*100

⇒Change in percentage = (C/ P)*100

⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)

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The solution to the given differential equation is L⁻¹{Y(s)} = (b³ t sin 2t) / (2 (sin bt - bt cos bt))

To solve the differential equation using the convolution theorem, we'll follow these steps:

Take the Laplace transform of both sides of the differential equation.

Use the convolution theorem to simplify the resulting expression.

Take the inverse Laplace transform to obtain the solution in the time domain.

Let's start with step 1:

Given differential equation: d²y/dt² - 4y = t cos 2t

Taking the Laplace transform of both sides, we get:

s²Y(s) - sy(0) - y'(0) - 4Y(s) = L{t cos 2t}

Where Y(s) represents the Laplace transform of y(t), y(0) is the initial condition for y(t) at t = 0, and y'(0) is the initial condition for dy/dt at t = 0.

The Laplace transform of t cos 2t can be found using the Laplace transform table:

L{t cos 2t} = -Im{d/ds[1 / (s² - (2i)²)]}

= -Im{d/ds[1 / (s² + 4)]}

= -Im{(-2s) / [(s² + 4)²]}

= 2Im{(s) / [(s² + 4)²]}

Now let's simplify the expression using the convolution theorem:

The Laplace transform of the convolution of two functions, f(t) and g(t), is given by the product of their individual Laplace transforms:

L{f * g} = F(s) G(s)

In our case, f(t) = y(t) and g(t) = 2Im{(s) / [(s² + 4)²]}.

Therefore, F(s) = Y(s) and G(s) = 2Im{(s) / [(s² + 4)²]}.

Multiplying F(s) and G(s), we get:

Y(s) G(s) = Y(s) 2Im{(s) / [(s² + 4)²]}

Now, we can rewrite the left-hand side of the equation using the convolution theorem:

Y(s) * 2Im{(s) / [(s² + 4)²]} = L{t cos 2t}

Taking the inverse Laplace transform of both sides, we have:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = L⁻¹{L{t cos 2t}}

Simplifying the right-hand side using the inverse Laplace transform table, we get:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = t sin 2t / 4

Now, we can apply the convolution theorem to the left-hand side of the equation:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = L⁻¹{Y(s)} * L⁻¹{2Im{(s) / [(s² + 4)²]}}

The inverse Laplace transform of 2Im{(s) / [(s² + 4)²]} can be found using the inverse Laplace transform table:

L⁻¹{2Im{(s) / [(s² + 4)²]}} = 1 / 2b³ (sin bt - bt cos bt)

Therefore, we have:

L⁻¹{Y(s)} * 1 / 2b³ (sin bt - bt cos bt) = t sin 2t / 4

From this, we can deduce the inverse Laplace transform of Y(s):

L⁻¹{Y(s)} = (t sin 2t / 4) / (1 / 2b³ (sin bt - bt cos bt))

Simplifying further:

L⁻¹{Y(s)} = (b³ t sin 2t) / (2 (sin bt - bt cos bt))

This is the solution to the given differential equation.

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