Find the quotient: 0.12)78.6.

Answer:

hold on..

Step-by-step explanation:

Answer:

x =  − 4

Step-by-step explanation:

I put your question in a math calculator and this is what I got. Good Luck

Answer:

.49 if you're dividing them.

Step-by-step explanation:

Answer:

9π cm - exact value

28.26 cm - approximate value

Step-by-step explanation:

C = πd =9π cm - exact value

or

C=9π≈ 28.26 cm - approximate value

The best description of the numerical expression 2x - 5 is,

The difference of five and twice a number x.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

The statement to the numerical expression 2x - 5 would be

The difference of five and twice a number x.

As we can not use the statement twice a number x minus five because the term 'minus' can not be used.

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Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

The dimension of the rectangular of a norman window will be 1.6803*3.3606.

What is the area of Rectangle?

In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.

Let r represents the radius, and b be the breadth.

Then, perimeter = 3.14*r+2r+2b = 12

For the dimension needed for the most light to enter we need to maximize the area.

Hence, area of the window : area of the semicircle + area of the rectangle

= \(\frac{3.14*r^2}{2} + 2rb\)

= \(12r - (\frac{3.14+4}{2}) r^2\)

A'(r) = 0

Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m

From this value of r we can calculate the value of b to be;

b= 1.6803m

Thus, a= 3.606m

Thus the required dimension is : 1.6803*33606

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Answer:

By making use of a lower confidence level

Step-by-step explanation:

The margin of error is also referred to as the confidence interval and it is the system in which we use to measure the error in the result of the survey or experiment.

Now, for us to reduce the margin of error, there are different things we can do such as;

- increasing sample size

- using less data variation

- making use of a lower confidence level

- making use of a one sided confidence interval rather than a two sided confidence interval.

Looking at the above different methods of making the margin of error smaller, the one that is always under the control of the researcher is "making use of a lower confidence level".

Every other means, he does not have as much control as he has to do to lower the confidence level. That one is strictly based on his jurisdiction.

Answer:

Thanks

Step-by-step explanation:

Thanks

a. It will take 7 months to pay off the credit card.

b. it will take 4 months to pay off the credit card.

Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.

a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.

We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:

PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)

where:

PV is the present value of the debt

PMT is the payment amount per period

r is the monthly interest rate

n is the number of periods

Substituting the values, we get:

754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV ×r / PMT)) / log(1 + r)

n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)

n = 6.18

Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.

b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.

754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV × r / PMT)) / log(1 + r)

n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)

n = 3.43

Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.

Regarding the given diagram, the following claims are always true:

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 = 180°\s= m∠2 (the measure of the external angle at angle 2). (the measure of the exterior angle at angle 2). And because angles 2 and 3 are likewise interior triangle angles, we get m2 + m3 = m6, which can be rearranged to yield m5 + m6 = m3 + m4 + m5 = 180°.

m∠2 + m∠3 + m∠5 = 180°

This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

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Answer:

1/12

Step-by-step explanation:

you have 1/6 chance at drawing it once (one yellow marble, six total), so 1/12 to draw it twice.

The probability of picking a yellow marble, returning it to the box, and then picking a blue marble will be 1/36. Option C is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow.

We have to find the probability of picking a yellow marble, returning it to the box, and then picking a blue marble.

The probability of picking a yellow marble, returning it to the box, and then picking a blue marble is obtained as,

=1/6 × 1/6

=1/36

Thus the probability of picking a yellow marble, returning it to the box, and then picking a blue marble will be 1/36. Option C is correct.

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Answer:

Step-by-step explanation:

Conditions

Let the circular stones = x

Let the rectangular stones = y

Equations

x + y = 37                          Subtract x from both sides of this equation.

y = 37 - x                           Notice that x is on the right side of the equation

Solution

26x   +  34y = 1138                 Substitute for y

26x + 34(37 - x) = 1138           Remove the brackets

26x + 1258 -34x= 1138           Combine

-8x + 1258 = 1138                    Subtract 1258 from both sides

-8x +1258-1258 = 1138-1258  Combine.  

-8x = -120                                Divide both sides by -8

-8x/-8 = -120/-8

x = 15                                       Two minuses make a plus (last step)

x+ y = 37

15 + y = 37                               Subtract 15 from both sides

15-15 +y = 37-15                     Combine

y = 22

Answer

x = 15     Circular pizza dishes

y = 22   square pizza dishes

The consultant sold 15 circular pizza stones and 22 rectangular pizza stones.

Let's assume the number of circular pizza stones sold is "c" and the number of rectangular pizza stones sold is "r."

We are given two pieces of information:

1. The total number of stones sold: c + r = 37

2. The total amount earned from the sale of the stones: 26c + 34r = 1138

Now, we can use these two equations to solve for the values of "c" and "r."

First, let's use the first equation to express "c" in terms of "r":

c = 37 - r

Now, substitute this value of "c" into the second equation:

26c + 34r = 1138

26(37 - r) + 34r = 1138

962 - 26r + 34r = 1138

Combine the "r" terms:

8r = 1138 - 962

8r = 176

Now, divide by 8 to find the value of "r":

r = 176 / 8

r = 22

Now that we have the value of "r," we can find the value of "c" using the first equation:

c = 37 - r

c = 37 - 22

c = 15

So, the consultant sold 15 circular pizza stones and 22 rectangular pizza stones.

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Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

The angle sum of a triangle is 180 degrees. The measure of the angle GR is 160° then the correct option is B.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A ΔGRV is inscribed in a circle as shown in the figure below.

In ΔGRV, GR is congruent to GV.

Then the angle ∠V and ∠R are also equal.

The sum of the angle of the triangle is 180 degrees. Then angles ∠V and ∠R will be

∠V = ∠R = 80°

We know theorem

An arc of a circle subtends twice the angle it subtends anywhere on the circle's circumference at its center.

Then the measure of the angle GR will be

→ 2 × 80°

→ 160°

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The measures of the required angles are:

i. m<AFB = 30^o

ii. m<BFE = 90^o

A polygon is a plane figure on a 2 dimensional plane with a minimum of 3 sides. Thus polygons are named with respect to the number of their sides. Examples include; heptagon, hexagon, decagon, etc.

In the given question, we have;

An isosceles triangle has two the measure of its internal angles to be equal.

So that, given that m<A = 120^o, then

m<AFB = m<ABF  (property of an isosceles triangle)

Let m<AFB be represented by x, so that;

m<AFB + m<ABF + m<A = 180^o   (sum of angle in a triangle)

x + x + 120 = 180

2x = 180 - 120

    = 60

x = 60/ 2

  = 30

x = 30^o

Thus,

m<AFB = m<ABF = 30^o

Also, m<BFE is a right angle.

So that,

m<AFB = 30^o and m<BFE = 90^o

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Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

Pick any point on the graph below for a solution:

I put A before and my post was deleted.....

The value of, \(2x - 4y = 5.\)

To find the coordinates of point C, which is the midpoint of line segment AB, we will first find the midpoint formula.
Midpoint formula:

\($C(x, y) = \left(\frac{x_A + x_B}{2}, \frac{y_A + y_B}{2}\right)$\)
Now, substitute the coordinates of points A and B:
\($C(x, y) = \left(\frac{24 + 3}{2}, \frac{7 + 4}{2}\right)$\)
Simplify:
\($C(x, y) = \left(\frac{27}{2}, \frac{11}{2}\right)$\)
So, point C has coordinates \((\frac{27}{2}, \frac{11}{2}).\)

Now we can find the value of  \(2x - 4y:\)
\($2x - 4y = 2\left(\frac{27}{2}\right) - 4\left(\frac{11}{2}\right) = 27 - 22 = 5$\)

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Answer:

f(x) = 1/x

Step-by-step explanation:

The corrected question is:

Suppose f is the function that satisfies  

f'(x)= - f²(x)  

for all x in its domain, and  

f(1) = 1  

f(x)= ?

Given:

f'(x) = -(f(x))²

This can be written as:

df/dx = -f²

The equation becomes:

-df/f² = dx

Integrating the above equation on both sides we get:

1/f = x + c     where c is constant

So

f(x) = 1/(x+c)

Now given that:

f(1) = 1  

Solving this for c we get:

f(1) = 1 = 1/(1 + c)

1 = 1/ 1+c  

1 = 1 + c

c = 1 - 1

c = 0

Now put this value of c in f(x) = 1/(x+c)

f(x) = 1/(x+0)

f(x) = 1/(x)

f(x) = 1/x

Hence

f(x) = 1/x

Answer:

dk man

Step-by-step explanation:

The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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Answer:

The code has 7 digits:

Here you are asking:

"What is the probability that the code is consisting only of the digits {1, 2, 3, 4, 5, 6, 7}?"

Ok, first we must calculate the number of all the possible codes.

Suppose that each digit is an independent event.

Each one of those events has 10 possible outcomes {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

And we have 7 of those.

The total number of possible combinations is equal to the product of the number of outcomes for each event, then the total number of possible combinations is:

C = 10^7.

Now let's calculate the number of possible codes if we only use the digits in the restriction.

We can do exactly the same as above, but now in each case, we have 7 possible outcomes for each digit, then in this case the number of possible combinations is:

c = 7^7.

Now the probability of generating at random a code that only uses the digits  {1, 2, 3, 4, 5, 6, 7} is equal to the quotient between the number of codes that only use these digits, and the total number of possible codes.

P = c/C = (7^7)/(10^7) = (7/10)^7 = 0.082

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk