B

E

3

3

A

4

с

D

F

4

Enter the length of curve DE given that the curve is 5% longer than line

segment AB.

The value of y is 22.57 cm which is the diameter of the circle. The solution has been obtained by using the concept of area of figures.

What is an area of figure?

A patch's area on a surface determines how big it is. Whereas a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.

We are given a square with side 20 cm and a circle with diameter y. It is given that both the figures have the same area.

Now,

⇒ Area of square = Side * Side

⇒ Area of square = 20 * 20

⇒ Area of square = 400 square cm

Similarly,

⇒ Area of circle = π\(r^{2}\)

⇒ Area of circle = π\((\frac{y}{2} )^{2}\)

Since, the area of both the shapes is same, so we get,

⇒ π\((\frac{y}{2} )^{2}\) = 400

⇒ 3.14 * \((\frac{y}{2} )^{2}\) = 400

⇒ 3.14 * \(\frac{y^{2}}{4}\) = 400

⇒ 3.14 * \(y^{2}\) = 1600

⇒ \(y^{2}\) = 509.55

⇒ y = 22.57 cm

Hence, the value of y is 22.57 cm which is the diameter of the circle.

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The complete question has been attached below.

Answer:

Step-by-step explanation:

SOLVING

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

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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

Answer:

Step-by-step explanation:

-5x + 10 > -15 is your original equation.

You need to isolate the x variable.

Start by subtracting 10.

-5x > -25

x > 5

Answer:

C

Step-by-step explanation:

y=mx+b m=slope b=y-intercept, y-int: 4 slope: 3/1 but can just be put as 3. y=3x+4 bc it's a positive slope with a positive y-int.

Answer:

it would be reflection.

I suppose * is supposed to denote a binary operation with the given definition,

a * b = (a - b)²

as opposed to multiplication, so that, for instance, 1 * 1 = (1 - 1)² = 0.

Using the definition of *, you have

2 * 5 = (2 - 5)² = (-3)² = 9

Answer:

2

 ,  

4

,  

8

,  

16

,  

32

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by  

2

gives the next term. In other words,  

a

n

=

a

1

⋅

r

n

−

1

.

Geometric Sequence:  

r

=

2

Step-by-step explanation:

Answer:

Option (3)

Step-by-step explanation:

From the given figure,

\(a_n=a_1+(n-1)d\)

where \(a_n\) = nth term of an arithmetic sequence

\(a_1\) = first term of the sequence

n = number of term

d = common difference

When n = 1 : \(a_1=-1\)

When n = 2 : \(a_2=-6\)

common difference 'd' = -6 - (-1) = -5

Formula for the nth term for the given sequence will be,

\(a_n=-1+(n-1)(-5)\)

    = -1 - 5n + 5

\(a_n\) = 4 - 5n

Now the 12th term of this sequence will be,

\(a_{12}=4-5(12)\)

     = 4 - 60

     = -56

Therefore, Option (3) will be the answer.

The lines AB and CD are neither parallel nor perpendicular,

From the question, we have the following parameters that can be used in our computation:

A(4, 2), B(-3, 1), C(6, 0), D(-10, 8)

The relationship between lines AB and CD can be determined using the slope formula

The slope of a line is calculated using

Slope = Change in y/Change in x

using the above as a guide, we have the following:

Slope AB = (1 - 2)/(-3 - 4)

Slope AB = 1/7

Slope CD = (8 - 0)/(-10 - 6)

Slope CD = -1/2

The above slopes are neither equal nor opposite reciprocals

This means that the lines AB and CD are neither parallel nor perpendicular,

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The sοlutiοn οf the given prοblem οf square cοmes οut tο be  0.84% is the shaded area.

A square is a quadrilateral οf fοur equal faces and fοur identical angles accοrding tο Euclidean geοmetry. A shape with adjacent edges that have the same length is anοther name fοr a rectangle. If οne οf a quadrilateral's fοur triangular edges and 4 triangular angles is square, the parallelοgram is deemed tο be equilateral. A linear οr 90 ° angle is referred tο as a cubical angle.

Here,

We must determine the area οf the shaded area and divide it by the area οf the cοmplete square tο determine the prοpοrtiοn οf the square that is shaded.

A sectοr is equal tο (45/360)k²/2 = 0.125k²

Find the regiοn οf triangle BDE next. Triangle BDE is a right triangle, sο we can determine its height using the Pythagοrean theοrem:

=>  BE² + DE² = BD²

=>  BE² + k² = (k√2)²

=>  BE² = 2k² - k²

=>  BE = k√2

Therefοre, the triangle BDE's area is:

=> A(triangle) = (1/2)

=> BE*DE = (1/2)

=> (k√2)(k√2) = k²

Lastly, the area οf the darkened area is equal tο the sectοr's area less the triangle's area:

=> A(shaded) = A(sectοr) - A(triangle) = 0.125πk² - k² ≈ 0.0084k²

Cοnsequently, the amοunt οf the rectangle that is shaded is:

=> percentage = (A(shaded) / A(square)) x 100%

=> ( 0.0084k² / k²) x 100%

=> 0.84%

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Answer:

A, D, E, F

Step-by-step explanation:

If you graph those four equations or plug in 0 as x, you would find that all of them are equal to -8

The gross death rate is 8.38%.

What is a Rate?

A rate is a measure of the frequency of an event or occurrence in relation to a specific population or time period. Rates are often expressed in terms of units per time or per population, such as cases per 100,000 people or births per year.

The gross death rate is the number of deaths in a given time period divided by the total population or, in this case, the total number of discharges.

To calculate the gross death rate for City Hospital in June, we need to subtract the eight deaths that occurred within 48 hours of admission from the total number of deaths:

Total deaths = 49 - 8 = 41

Then, we divide the total number of deaths (41) by the total number of discharges (489) and multiply by 100 to get the rate per 100 discharges:

Gross death rate = (41 ÷ 489) x 100 = 8.38%

Therefore, the gross death rate for City Hospital in June is 8.38%.

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Using the Fundamental Counting Theorem, it is found that 6 different possible outcomes are there.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Then, the number of outcomes is given by:

N = 2 x 3 = 6.

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Answer:

Her utility bill decreased

Step-by-step explanation:

$-9.66 is closer to 0 but before her bill was -$25.66 so that's farther away so her bill decreased.

Nancy’s balance increased: -9.66 > -25.66.

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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Answer:

2/7 divided by 3/4

So we can't divide fractions but what we can do is multiply them.

The First step is to do KCF (Keep, Change, Flip)

So It will be 2/7 TIMES 4/3. Keep 2/7 change the division sign to multiplication sign and flip 3/4 to 4/3. Now Multiply normally.

I hope this helps you find the correct answer <3

Answer:

rectangular prism = cuboid

total surface area of a cuboid (tsa) = 2(lb+bh+hl)

l=length = 3cm

b=breadth = 6cm

h=height = 5cm

tsa = 2( 3*6 + 6*5 + 5*3 )

        2( 18 + 30 + 15 )

         2 * 63

       = 126 \(cm^{2}\)

hope this answer helps you.....

The value of n for the given equation 3⁵. 3ⁿ = 3⁸ is n = 3.

Several rules of exponents are presented according to the capacities they possess. The following rule governs multiplication: Add the exponents while maintaining the base's consistency.

When bases are raised by a power of two or more, multiply the exponents while maintaining the original base.

Division Rule: When dividing similar bases, take the exponent of the denominator and divide it by the exponent of the numerator, keeping the base constant.

The given equation is:

3⁵. 3ⁿ = 3⁸

Using the product rule for exponents we have:

3⁽⁵ ⁺ ⁿ⁾ = 3⁸

The above expression can be written as:

5 + n = 8

n = 8 - 5

n = 3

Hence, the value of n for the given expression 3⁵. 3ⁿ = 3⁸ is n = 3.

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The complete question is:

Iku is correct, because the function has no real zeros because there are no x-intercepts.

We have to given that;

Iku and Zachary are finding the number of real zeros of the function graphed at the right.

Here, By graph we see that;

The graph is not cut at x - axis.

Hence, There is no real solution.

So, Iku is correct, because the function has no real zeros because there are no x-intercepts.

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Answer:

x=2

Step-by-step explanation:

Combine like terms, add 8 to both sides of the equation, simplify, divide both sides by the same term, simplify

Answer:

x = 2

Step-by-step explanation:

1. Combine like terms

15x - 8 - 3x = 16

1 2  −  8  =  1 6

2. Add  8  to both sides of the equation

1 2  −  8  =  1 6

      +8   +8

3. Simplify

12x = 24

12x/12 = 24/12

x = 2

the range of the graph is simply the region that it covers vertically, well, from the picture we can see the graph goes down down down to -2 vertically, makes an U-turn and goes back up, the arrowheads mean it keeps on going to infinity, so vertically the graph never goes below -2, so its range is just from -2 up to infinity, or in interval notation [ -2 , +∞ ).

Check the picture below.

Answer:

y = - 7/5x + 18/5

Slope: - 7/5

y - intercept: (0, 18/5)

Hope this helps!!

There is reason to doubt the expected ratio of 9:3:3:1.

To check whether there is a reason to doubt the expected ratio of 9:3:3:1, we can perform a chi-square goodness-of-fit test. The null hypothesis for this test is that the observed counts follow the expected ratio, and the alternative hypothesis is that they do not.

First, we need to calculate the expected counts based on the expected ratio:

Purple round: (9/16) * (280 + 95 + 62 + 23) = 267.75

Purple wrinkled: (3/16) * (280 + 95 + 62 + 23) = 89.25

Yellow round: (3/16) * (280 + 95 + 62 + 23) = 89.25

Yellow wrinkled: (1/16) * (280 + 95 + 62 + 23) = 29.25

Next, we can calculate the chi-square test statistic:

chi-square = Σ(observed count - expected count)^2 / expected count

Using the observed and expected counts above, we get:

chi-square = [(280 - 267.75)^2 / 267.75] + [(95 - 89.25)^2 / 89.25] + [(62 - 89.25)^2 / 89.25] + [(23 - 29.25)^2 / 29.25]

chi-square = 8.31

Finally, we need to compare the calculated chi-square value to the critical chi-square value with (4 - 1 = 3) degrees of freedom at a chosen significance level. For example, at a 5% significance level, the critical chi-square value with 3 degrees of freedom is 7.815.

Since the calculated chi-square value of 8.31 is greater than the critical chi-square value of 7.815, we reject the null hypothesis and conclude that there is reason to doubt the expected ratio of 9:3:3:1.

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Answer:

Area of triangle=

1/2bh

=1/25×9

=22.5

the answer is 22.5

Answer:

B

Step-by-step explanation:

9x5=45

then you do 45 divided by 2= 22.5

you divide because of the line and because its a triangle

im right trust me

Answer:

Step-by-step explanation:

7 feet   1 foot is 12 inches

7*12= 84 inches.

None of the choices are correct.

90 inches is 7.5 feet

62.5 inches is 5.2 feet

75 inches is 6.25 feet

As the interest rate increases from 10 percent to 11 percent, the present value of the bond decreases from $1,074.47 to $1,058.31. Conversely, when the interest rate decreases to 9 percent, the present value increases to $1,091.19. This is because the discount rate used to calculate the present value is inversely related to the interest rate, meaning that as the interest rate increases, the present value decreases, and vice versa.

To compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000, we need to discount the future cash flows (coupon payments and face value) by the appropriate interest rate.

Step 1: Calculate the present value of each coupon payment.
Since the bond has a 10 percent coupon rate, it pays $100 (10% of $1,000) annually. To calculate the present value of each coupon payment, we need to discount it by the interest rate.

Using the formula: PV = C / (1+r)^n
Where PV is the present value,

C is the cash flow,

r is the interest rate, and

n is the number of periods.

At an interest rate of 10 percent, the present value of each coupon payment is:
PV1 = $100 / (1+0.10)^1 = $90.91

Step 2: Calculate the present value of the face value.
The face value of the bond is $1,000, which will be received at the end of the fifth year. We need to discount it to its present value using the interest rate.

At an interest rate of 10 percent, the present value of the face value is:
PV2 = $1,000 / (1+0.10)^5 = $620.92

Step 3: Calculate the total present value.
To find the present value of the bond, we need to sum up the present values of each coupon payment and the present value of the face value.
Total present value at an interest rate of 10 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,074.47

When the interest rate goes to 11 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 11 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,058.31

When the interest rate goes to 9 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 9 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,091.19

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