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The values given in standard form are 8.59 and 7.003

The standard form of a number is a way of writing the number in a form that follows certain rules. Any number that has exponents and decimals is said to be a standard notation.

Given the following statements

eight and fifty-nine hundredths

8 + 59/100

8 + 0.59

8.59

For the expression seven and three thousandths

7 + 3/1000

7 + 0.003

7.003

Hence the values given in standard form are 8.59 and 7.003

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Answer:

(2,-2)

Step-by-step explanation:

One way to simplify an expression containing trigonometric functions is to first write the expression in terms of sines and cosines only.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to determine the missing side length of a geometric figure with the adjacent and hypotenuse side lengths given, you should apply the law of cosine:

C² = A² + B² - 2(A)(B)cosθ

Similarly, the law of sine can be used to determine the missing side length of a geometric figure with the opposite and hypotenuse side lengths are given:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

In this context, we can reasonably infer and logically deduce that an expression containing trigonometric functions can be simplified by first writing the expression in terms of sines and cosines only.

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Answer:

Hello,

n=6

Step-by-step explanation:

1111 in binary is 15 in décimal

(23) base n=15 ==>

2*n+3=15

2n=12

n=6

Answer:

670.05

Step-by-step explanation:

Rounding to the nearest dollar, Serina will have $515 at the end of five years. Therefore, correct option is A.

To calculate the amount Serina will have at the end of five years, we can use the formula for compound interest:

A = [tex]P(1 + r)^{(nt)[/tex]

Where:

A = the future value of the investment/loan, including interest

P = the principal amount (initial deposit)

r = the annual interest rate (in decimal form)

n = the number of times that interest is compounded per year

t = the number of years the money is invested for

In this case, Serina deposits $500 with an annual interest rate of 5%, compounded semiannually (n = 2), and keeps the money in her account for three years (t = 3).

Plugging in the values, we get:

A = 500(1 + 0.05)⁶

A = 500(1.005)⁶

A ≈ 500(1.030)

A ≈ $515

Therefore, correct option is A.

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6 hundred and 73 thousand and 65..

The range of distance between Aaron and Clara is 7<d<23.

The range of possible distance from Aaron to Clara:

So, the range is: 7<d<23

Therefore, the range of possible distance from Aaron to Clara is 7<d<23.

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The consecutive odd numbers that sum up to 321 are 105, 107 and 109.

The sum of three consecutive odd integers is 321.

Odd numbers are numbers that when divided by 2 produces a remainder.

let

x = first odd numbers

Therefore,

x + x + 2 + x + 4 = 321

combine the like terms

x + x + x + 2 + 4 = 321

add the like terms

x + x + x + 2 + 4 = 321

3x + 6 = 321

subtract 6 from both sides

3x + 6 = 321

3x + 6 - 6 = 321 - 6

3x  = 315

divide both sides by 3

x = 315 / 3

x = 105

Therefore, the consecutive odd numbers that sum up to 321 are 105, 107 and 109.

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Answer:

See below

Step-by-step explanation:

Answer:

10 if going from the smallest to the largest or 1/10 if going from the smallest to the largest.

Step-by-step explanation:

Let s = scale factor

10s = 100  Divide both sides by 10

s = 10

Answer:

 3x + 7

Step-by-step explanation:

Hope this helps you :)

Answer:

Did you already get the answer?

Step-by-step explanation:

The numbers are 24 and 33 so the smaller one is 24

Answer:

24 and 33 are the numbers among which 24 is the smallest.

Step-by-step explanation:

Let one positive integer be x, then another will be x - 9

Solve:

[tex]\sf \dfrac{x-9 }{x} = \dfrac{8}{11}[/tex]

cross multiply

[tex]\sf 11x-99= 8x[/tex]

collect like terms

[tex]\sf 11x-8x = 99[/tex]

simplify

[tex]\sf 3x = 99[/tex]

divide both sides by 3

[tex]\sf x = 33[/tex]

As the integer is positive, x = 33, then another will be 33 - 9 = 24.

The solution to the inequality is w ≥ 470 or w ≤ 530

The given parameters are:

Number of words = 500

Absolute deviation = 30

Acceptable number of words = w

The absolute value inequality is represented as

|w - Number of words| ≥ Absolute deviation

So, we have

|w - 500| ≥ 30

Remove the absolute bracket

So, we have

w - 500 ≥ -30 or w - 500 ≤ 30

Add 500 to both sides of the inequality

So, we have

w ≥ 470 or w ≤ 530

Hence, the solution to the inequality is w ≥ 470 or w ≤ 530

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Answer: x=32

Step-by-step explanation:

x-7+2x+1=90

x+2x-7+1=90

3x-6=90

3x=96

x=32

Answer:9 citronella and 6 fragrant wood apples

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

3x² +24x = -48

3x² +24x + 48 = 0

x² +8x + 16 = 0

By using cross multiplication,

(x-4)² = 0

Therefore,

x-4 = 0

x = 4 (repeated)

Answer:

Only one real solution

Step-by-step explanation:

[tex]{ \tt{ {3x}^{2} + 24x = - 48}} \\ { \tt{ {3x}^{2} + 24x + 48 = 0 }} \\ { \tt{ {x}^{2} + 8x + 16 = 0}} \\ { \tt{(x + 4) = 0}}

Answer:

c

Step-by-step explanation:

C is straight forward that the value of the y intercept is 8, unlike the A and B where you must first simply by removing the brackets

Answer:

62.5%

Step-by-step explanation:

We only have the measurement of 2 corresponding sides AE and A'E'.  We are going from the large to the small.

Let x = the scale factor

4x = 2.5  Divide both sides by 4

x = .625   to change that to a decimal multiply by 100

.625 x 100 = 62.5%

Answer:

slope = 6/10

Step-by-step explanation:

Point 1: (0,2)

Point 2: (10,8)

m= Slope= Rise/run = (y2-y1)/(x2-x1) = (8-2)/(10-0) = 6/10

The actual length of the river on centimetres is 97 centimetres

The scale was 5 centimetres represents 120 miles.

Therefore, on the scale

5 centimetres = 120 miles

Now, let's find the length in centimetres if the river is measured as 2320 miles.

120 miles  = 5 centimetres

2320 miles = ?

cross multiply

actual length of the river in centimetres = 2320 × 5 / 120

actual length of the river in centimetres = 11600 / 120

actual length of the river in centimetres = 96.6666666667

actual length of the river in centimetres = 97 centimetres.

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The estimate closest to the length of a pen​ is 160​mm

Estimation is when we use approximate values in a calculation to give an approximate, predicted answer rather than an exact answer.

We can estimate some lengths and distances using approximate values for measurements.

For example, 16 cm is approximately the length of a pen.

Therefore, the estimate of a pen is 16 cm.

Since the length in cm is not in the option, we have to convert.

Hence,

1 centimetres = 10 millimetres

16 centimetres = ?

cross multiply

estimated length of a pen = 160 millimetres.

Therefore, the estimate closest to the length of a pen​ is 160​mm

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Answer:

[tex]x=25^o[/tex]

Step-by-step explanation:

Angle sum of a triangle: [tex]< A + < B+ < C=180^o\\[/tex]

Types of Triangles: Isosceles, Equilateral, Scalene

Given AB = AC are two sides of the big triangle, then ΔABC is Isosceles.

Isosceles triangles are defined to have two equal sides and two equal angles (opposite the congruent(equal) sides).

Also, since ABC is defined as a triangle, BC is a straight line, a.k.a., it is a [tex]180^o[/tex] angle. As the image shows, the line, AD creates a right angle on one side, therefore it creates a right angle([tex]90^o[/tex]) on the other side.

Back to Isosceles Triangles, AD = AE means ΔADE is isosceles and <ADE = <AED

Using the Angle sum formula of a triangle, you can fill in <A, <B, and <C with the following:

<A=[tex]50^o[/tex]

<B=<C=y [This is because <ADE = <AED]

[tex]50^o+2y=180^o\\2y=130^o\\y=65^o[/tex]

Now, this means that <ADE=[tex]65^o[/tex] and <ADC =[tex]90^o[/tex]

<x is better seen as <EDC

<EDC+<ADE=<ADC

Since we know <ADE is 65 and <ADC is 90, we can plug in these to the formula above.

[tex]x+65^o=90^o\\x=25^o[/tex]

Answer:

12

Step-by-step explanation:

[tex]n(J \cap K)=n(J)+n(K)-n(J \cup K) \\ \\ =255+186-429 \\ \\ =12[/tex]

Answer:

[tex]2x^2 - 12x + 1[/tex]

Step-by-step explanation:

Hello!

Given the expression: [tex]4x^2 - 8x + 3 - (2x^2 + 4x + 2)[/tex]

Simplify by combining like terms.

Like terms are terms with the same variable and raised to the same power.

The simplified form is [tex]2x^2 - 12x + 1[/tex].

The solutions of  "one seventh times the absolute values of the quantity x minus 3 minus 2 equals 9" is 80 and -74

The absolute value of the quantity x minus 3 = |x-3|

The one seventh time the absolute value of the quantity x minus 3 minus 2 equal to 9

Then the equation will become

(1/7)×|x-3|-2=9

Solve the equation

(1/7)×|x-3|-2= 9

(1/7)×|x-3|= 11

|x-3| = 11×7

|x-3|= 77

The absolute value equation will become

x-3= 77

x-3 = -77

Solve both equation

x-3=77

x= 80

x-3 = -77

x= -74

Hence, the solutions of  "one seventh times the absolute values of the quantity x minus 3 minus 2 equals 9" is 80 and -74

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Abby's method and Renato's method of converting kilograms to pounds gives the same answer.

Abby:

1/2n - 10%

= 1/2n - 0.1

Renato:

-10% + 1/2n

= -0.1 + 1/2n

Therefore, Abby's method and Renato's method of converting kilograms to pounds gives the same answer.

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