What is the length of the diagonal from B to D of this rectangle? Round your answ
to the nearest tenth of a metre.

Answer:

2 × 10³

Step-by-step explanation:

a number expressed in standard form is

a × [tex]10^{n}[/tex]

where 1 ≤ a < 10 and n is an integer

4 ×[tex]10^{8}[/tex] × 5 × [tex]10^{-6}[/tex]

= 4 × 5 × [tex]10^{8}[/tex] × [tex]10^{-6}[/tex]

= 20 × [tex]10^{(8-6)}[/tex]

= 20 × 10²

= 2 × [tex]10^{1}[/tex] × [tex]10^{2}[/tex]

= 2 × [tex]10^{(1+2)}[/tex]

= 2 × 10³

Answer:

[tex]2.0 \times {10}^{3} [/tex]

is correct ans

Answer:

  250

Step-by-step explanation:

The sum of the terms of a geometric series is given by the formula ...

  Sn = a1×(1 -r^n)/(1 -r)

sum of n terms for first term a1 and common ratio r.

__

The given series has first term a1 = 150, and common ratio r = 60/150 = 2/5. Putting these values into the formula gives a sum of 7 terms that is ...

  S7 = 150×(1 -(2/5)^7)/(1 -2/5) = 150((77997/78125)/(3/5))

  S7 = 150×(25999/15625) = 249.5904

Rounded to the nearest integer, the sum of the first 7 terms is 250.

Answer:

747

Step-by-step explanation:

Have a great day!!

Step-by-step explanation:

the answer for this is 747

The answer could be c

Because the title of the table says the  dollar sales and how much it's increasing so my answer is c

Hope I helped!

TheOneAndOnlyLara~

Answer:

C.

Step-by-step explanation:

Hope it helped!

Keno

[tex]|\Omega|=10^2=100\\|A|=6\cdot4=24\\\\P(A)=\dfrac{24}{100}=\dfrac{6}{25}=24\%[/tex]

Angelita

[tex]|\Omega|=10\cdot9=90\\|A|=6\cdot4=24\\\\P(A)=\dfrac{24}{90}=\dfrac{4}{15}\approx26,7\%[/tex]

Therefore, the answer is Angelita.

The number of socks for Hailey will be 163.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The number of Haley's socks will be calculated as=

Socks = 777 x 21/100

Socks = 777 x 0.21

Socks = 163

Therefore the number of socks for Hailey will be 163.

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Answer:

A 90 percent level can be obtained with a smaller sample, which usually translates into a less expensive survey. To obtain a 3 percent margin of error at a 90 percent level of confidence requires a sample size of about 750. For a 95 percent level of confidence, the sample size would be about 1,000.

From the graph, the domain of the function will be {x| x = −2,1}. Then the correct option is D.

An asymptote is a line that constantly reaches a given curve but does not touch at an infinite distance.

From the graph, the domain of the function will be

The function is not defined for x = 2 and x = -1.

Then the domain will be

{x| x = −2,1}

Then the correct option is D.

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Answer:

C.  Sphere

Step-by-step explanation:

If you rotate a circle about one of its diameters, it produces the three dimensional shape of a sphere.

See attached diagram.

Answer:

x = 9

Step-by-step explanation:

When 1 is divided by 9, we understand it is a non-terminating decimal number because the denominator consists of other number other than 2 and 5.

Now, let's get into how to solve for x :

Divide both sides by .111... :

1/.111... x .111... = 1/.111 x 1/x

1 = 1/(x)(.111....)

Multiply both sides by x :

1(x) = (x)/(x)(.111...)

x = 1/.111...

x = 9 (nearest whole number)

Answer:

[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]

Therefore, x = 9

Step-by-step explanation:

To convert 0.11111... to a fraction:

Equation 1

Let:   y = 0.11111...

Equation 2

Multiply both sides by 10:

⇒ y · 10 = 0.11111... · 10

⇒ 10y = 1.11111...

Subtract Equation 1 from Equation 2 to eliminate the recurring digits after the decimal:

⇒ 10y - y = 1.1111... - 0.11111...

⇒ 9y = 1

Divide both sides by 9

[tex]\implies \sf y=\dfrac{1}{9}[/tex]

Therefore,

[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]

So if:

[tex]\sf 0.\dot{1}=\dfrac{1}{x}[/tex]

Then x = 9

Answer:

hmm try multiplying every number at the top and then put them all together

then divide the answer u got and u have ur answer :)

Step-by-step explanation:

The quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75

Quotients are result derived from the multiplication of two rational or integers. Given the expression

2.28 × 5.59

Convert to fraction

2.28 × 5.59 = 228/100  ÷  559/100
2.28 × 5.59= 127452/10000

2.28 × 5.59=  12.75

Hence the quotient of  2.28 × 5.59  using compatible numbers is approximately 12.75

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the second one

Step-by-step explanation:

Answer:

2.5cm

Step-by-step explanation:

hope it helps. if there's any question feel free to ask me I be ready to respond appropriately bye.

The altitude of the trapezoid is approximately 2.5 cm.

Here, we have,

To find the altitude of the trapezoid, we can use the formula for the area of a trapezoid:

Area = (1/2) * (sum of the bases) * altitude

Given that

one base (a) is 1 cm, the other base (b) is 5 cm, and the area is 7.5 cm², we can plug these values into the formula and solve for the altitude:

7.5 cm² = (1/2) * (1 cm + 5 cm) * altitude

Simplifying:

7.5 cm² = (1/2) * 6 cm * altitude

7.5 cm² = 3 cm * altitude

Now, we can isolate the altitude by dividing both sides of the equation by 3 cm:

altitude = 7.5 cm² / 3 cm

altitude ≈ 2.5 cm

Therefore, the altitude of the trapezoid is approximately 2.5 cm.

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Answer:

y=0.30x

Step-by-step explanation:

because the amount of money (the fee) will keep increasing with the multiplication of the amount of days

Huw's answer of 9 days is incorrect because more guests would finish the food in less time so the number of days for 30 guests is less than 6 days.

The number of days that the food can last 30 guests is 4 days.

More guests would eat the food faster which means that it would be finished in less days than the 6 days used by 20 guests.

To find the days the food would last 30 guests, use the inverse proportion formula:
= (Number of guests x Number of days food lasts for guests) / New number of guests

= (20 x 6) / 30

= 4 days

Full question is:

The only food provided for guests at Seaview Hotel is breakfast. The hotel has enough food to make breakfast for 20 guests for 6 days. How long would the food last 30 guests? You may assume each guest eats the same amount of food for breakfast.

Without working out the correct answer, explain why Huw’s answer of 9 days is incorrect.

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Answer:

A) y < 1/3x - 2

Step-by-step explanation:

The minimum target heart rate for a person 20 years old is 120 beats per minute

The equation of the function is given as:

y = -0.6x + 132

Where x represents the age, and y represents the minimum target heart rate

From the question, we have:

x = 20

Substitute x = 20 in y = -0.6x + 132

This gives

y = -0.6 *20 + 132

Evaluate

y = 120

Hence, the minimum target heart rate for a person 20 years old is 120 beats per minute

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Answer:

Answer is 120 !!

Step-by-step explanation:

~Hope this helps! :)

use pythagoras theorem to find the missing side, then find the an angle using the sine rule. at this point you will only have one angle left. using the law that sum of all angles of a triangle add up to 180⁰, you can do 180⁰- ( [the angle you found by the sine rule] + 90⁰) hope this wasn't too complicated :)

i did (b) as an example attatched (2 photos bc it couldn't fit it all)

The amount the money will be worth in 4 years is $4072.41

The formula for calculating the compound interest is expressed as;

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

Given the following

P = $3700

rate r = 2.4% = 0.024

n =12

t = 4 years

Substitute

A = 3700(1+0.024/12)^12(4)
A = 3700(10.024/12)^48

A =  3700(1.10065)

A= 4072.41

Hence the amount the money will be worth in 4 years is $4072.41

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Answer:

7

Step-by-step explanation:

4*(x-2)^2 - 9

replace x with 4;     4*(4-2)^2-9

solve inside parenthesis;    4*(2)^2-9

order of operations;     4*4 - 9 becomes 16-9=7

Answer:

- Red

    - Yellow

         - Dress

         - Running

    - Black

         - Dress

         - Running

- Blue

    - Yellow

         - Dress

         - Running

    - Black

         - Dress

         - Running

- Pink

    - Yellow

         - Dress

         - Running

    - Black

         - Dress

         - Running

Answer:

Parent function

[tex]f(x)=\log_2(x)[/tex]

Since we cannot take logs of zero or negative numbers, the domain is [tex](0, \infty)[/tex] and there is a vertical asymptote at [tex]x=0[/tex].

There are no horizontal asymptotes and the range is [tex](- \infty,\infty)[/tex].

The end behaviors of the parent function are:

[tex]\textsf{As } x \rightarrow 0^+, f(x) \rightarrow - \infty[/tex]

[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow \infty[/tex]

To determine the attributes of the given function, compare the given function with the parent function.

Given function

[tex]f(x)=- \log_2(x)+5[/tex]

The given function is reflected in the x-axis.  Therefore, the end behaviors are a reflection of those of the parent function:

[tex]\textsf{As } x \rightarrow 0^+, f(x) \rightarrow \infty[/tex]

[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow - \infty[/tex]

As the given function is translated vertically (5 units up) only, the domain, range and asymptote will not change, since the function has not been translated horizontally.

[tex]\textsf{Domain}: \quad (0, \infty)[/tex]

[tex]\textsf{Range}: \quad (- \infty, \infty)[/tex]

[tex]\textsf{Asymptote}: \quad x=0[/tex]

Conclusion

The function f(x) is a [tex]\boxed{\sf logarithmic}}[/tex] function with a [tex]\boxed{\sf vertical}}[/tex] asymptote of [tex]\boxed{x = 0}[/tex].  

The range of the function is [tex]\boxed{(- \infty, \infty)}[/tex], and it is [tex]\boxed{\sf decreasing}[/tex] on its domain of [tex]\boxed{(0, \infty)}[/tex].  

The end behavior on the LEFT side is as [tex]\boxed{x \rightarrow 0^+}[/tex], [tex]\boxed{f(x) \rightarrow \infty}[/tex], and the end behavior of the RIGHT side is [tex]\boxed{x \rightarrow \infty}[/tex], [tex]\boxed{f(x) \rightarrow -\infty}[/tex].

Answer:

x=24

Step-by-step explanation:

6×(5/6)x +6(10)=6(30)

5x +60=180

5x +60-60=180 - 60

5x=180 -60

5x=120

5x/5 =120/5

x=24

Answer:

155 Degrees

Step-by-step :

(Time x Rate of Temp) + Initial Temp = Final Temperature

Ex. (6 * 15) + 65 = 155 Degrees

Answer:

The temperature of the oven 6 minutes after being turned on is 155°

The temperature of the oven t minutes after being turned on is 15t + 65

Step-by-step explanation:

y=mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

The y intercept is when x = 0, so the initial temperature

b = 65°

The slope is increase at a rate of per minute after being turned on.

m = 15°

The y coordinate will represent the temperature of the oven after a certain amount of minutes after being turned on

y

The x coordinate will represent the amount of minutes after the oven being turn on

x = t

combine:

What is the temperature of the oven tt minutes after being turned on?

y = 15t + 65

What is the temperature of the oven 6 minutes after being turned on?

t = 6 minutes

y = 15t + 65

y = 15(6) + 65

y = 90 + 65

y = 155

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Answer:

5000 lbs

Step-by-step explanation:

if there ae 8 boxes and each one has the weight of 625 you will need to ultiply 8 by 625 and that will be 5000 pounds

using the diagonal: area = 1/2 x diagonal^2

the full diagonal is 20 x 2 = 40 cm

area = 1/2 x 40^2 = 800

answer: 800 cm^2

[tex]\text{She is not correct because}\\\\20\% = \dfrac{20}{100} = \dfrac 2{10} = 0.2 \neq 0.02[/tex]

The vertical angles are always equal in measure.

Vertical angles are angles opposite each other where two lines cross.

Here, As given in definition

All the vertical angles are always equal with each other.

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Answer: LN = 15

Make a proportional relationship:

[tex]\sf \dfrac{LN}{JL} = \dfrac{LM}{KL}[/tex]

Insert the values:

[tex]\rightarrow \sf \dfrac{LN}{30} = \dfrac{6}{30-18}[/tex]

cross multiply:

[tex]\rightarrow \sf LN = \dfrac{30(6)}{12}[/tex]

Simplify:

Answer:

LN = 15

Step-by-step explanation:

The arrows on the line segments indicate they are parallel.

[tex]\implies \overline{KM} \parallel \overline{JN}[/tex]

Triangle Proportionality Theorem

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides proportionally.

[tex]\textsf{If }\overline{KM} \parallel \overline{JN}, \textsf{ then }\dfrac{LK}{LJ}=\dfrac{LM}{LN}[/tex]

Given:

⇒ LK = JL - JK = 30 - 18 = 12

Substituting the values into the equation and solving for LN:

[tex]\begin{aligned}\implies \dfrac{LK}{LJ} & = \dfrac{LM}{LN}\\\\\dfrac{12}{30} & = \dfrac{6}{LN}\\\\12LN & = 30 \cdot 6\\\\LN & = \dfrac{180}{12}\\\\LN & = 15\end{aligned}[/tex]