Evaluate. 46−[(9+15÷5)×3]

Answer:

16 dollars.

Step-by-step explanation:

She ended with 17 dollars after earning 9 dollars, so her amount of money before earning this was 17 - 9 = 8 dollars.  This is half of her weekly allowance, so her weekly allowance is double this or 16 dollars.

Answer:

Step-by-step explanation:

Use the identity for the sum of squares of n natural numbers:

Since we have the sum, 56980:

Solve the equation graphically to get a natural solution of n = 55

Answer:

9.14 miles an hour

Step-by-step explanation:

Answer:

|x| - 5

Step-by-step explanation:

Subtracting on the outside translates vertically (down).

Answer:

Im not certain but I think 7.5% If you get another answer which is different trust them not me if u get one which is the same it should be correct

The interest rate was 7.5% when borrowing $600 for one year and paying $45.00 interest.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

We have been given data as:

Principal (P) = $600

Time (T) = 1 year

Simple interest = $45.00

⇒ Simple interest = P × R × T

Substitute the value of P, and T in the above formula, and solve for R

⇒ 45.00 = 600 × R × 1

⇒ 45.00 = 600R

⇒ R = 45.00/600

⇒ R = 0.075

⇒ R = 7.5/100

⇒ R = 7.5%

Therefore, the interest rate was 7.5%.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ2

Answer:

b = - 1 ± [tex]\sqrt{\frac{10}{3} }[/tex]

Step-by-step explanation:

Given

6b² + 12b - 14 = 0 ( add 14 to both sides )

6b² + 12b = 14

To complete the square the coefficient of the b² term must be 1

Factor out 6 from the 2 terms on the left side

6(b² + 2b) = 14

To complete the square

add/subtract ( half the coefficient of the b- term)² to b² + 2b

6(b² + 2(1)b + 1 - 1) = 14

6(b + 1)² + 6(- 1) = 14

6(b + 1)² - 6 = 14 ( add 6 to both sides )

6(b + 1)² = 20 ( divide both sides by 6 )

(b + 1)² = [tex]\frac{20}{6}[/tex] = [tex]\frac{10}{3}[/tex] ( take the square root of both sides )

b + 1 = ± [tex]\sqrt{\frac{10}{3} }[/tex] ( subtract 1 from both sides )

b = - 1 ± [tex]\sqrt{\frac{10}{3} }[/tex] ← exact solution

Answer:

x = -1 ± √(10/3) = (-3 ± √30)/3

Step-by-step explanation:

Steps to complete this process:

ax² + bx + c = 0

=> (ax² + bx + c)/a = 0/a

=> x² + (b/a)x + (c/a) = 0

=> x² + 2x(b/2a) + (c/a) = 0

Now it seems somewhat like a square (x² + 2x(b/2a), in order to complete:

=> x² + 2(b/2a) + (b/2a)² + (c/a) = (b/2a)²

=> (x + b/2a)² + (c/a) = b²/4a²

=> (x + b/2a)² = (b² - 4ac)/4a²

So on & you can derive quadratic formula.

In the given question:

=> 6b² + 12b - 14 = 0

=> (6b² + 12b - 14)/6 = 0/6

=> b² + 2b - 7/3 = 0

=> b² + 2(1)b + 1² - (7/3) = 1²

=> (b + 1)² - (7/3) = 1

=> (b + 1)² = 10/3 or 30/9

=> b + 1 = ±√(30/9)

=> b = -1 ± √(30)/3

=> b = (-3 ± √30)/3

*this is the rationalized form(rational-denominator), exact answer:

=> (b + 1)² - (7/3) = 1

=> (b + 1) = ± √(10/3)

=> b = -1 ± √(10/3)

You can take LCM, and even rationalize it to (-3 ± √30)/3.

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

Explanation:

The composition of the original function with its inverse will cancel out the operations to yield the input as the output.

Consider the example functions shown below

The first function adds 5 while the second function does the complete opposite and subtract 5. The two functions are inverses of each other.

We see that,

f(x) = x+5

f(g(x)) = g(x)+5

f(g(x)) = x-5+5

f(g(x)) = x

and you should find that g(f(x)) = x for similar steps.

No matter what the x input is, the output will be identical to the input.

For instance, if we plug in x = 7, then adding 5 to it gets us 12. Then undoing that operation to subtract 5 gets us back to 7 again. This is one example showing why both f(g(x)) and g(f(x)) both equal x, where f and g are inverses of each other.

Answer:

(2.5,-3)

Step-by-step explanation:

midpoint = (x', y')

x' = (x1 + x2)/2

y' = (y1 + y2)/2

x1=0

x2=5

y1=0

y2=-6

solution

(0+5)/2 =2.5---->x'

(0+(-6))/2 = -3--->y'

Step-by-step explanation:

(x+8) (x-5)

multiply

x×x=x

8×-5=-40

Answer:

9y(16x2−12xy+3y2)

Step-by-step explanation:

Factor 64x3−(4x−3y)3

144x2y−108xy2+27y3

=9y(16x2−12xy+3y2)

Answer:

9y(16x2−12xy+3y2)

4x + 4 = 14 + 14

4x + 4 = 28

4x = 24

x = 6

Verification : 3×6 - 4 = 14

4×6+4 = 28

.........

Answer:

1

Step-by-step explanation:

First plug in x and y:

(3)^2 - 2(3)(2) + (2)^2

Use order of operations (PEMDAS). First, evaluate the exponents:

9 - 2(3)(2) + 4

Then multiplication:

9 - 12 + 4

Then addition and subtraction, which is done from left to right:

-3 + 4

1

Answer:

[tex] {x}^{2} - 2xy + {y}^{2} \\ x = 3 \\ y = 2 \\ then \: we \: can \: written \: as \\ {3}^{2} - 2 \times 3 \times 2 + {2}^{2} \\ = 9 - 12 + 4 \\ = - 3 + 4 \\ = 1 \\ or \: in \: another \: way \\ this \: is \: the \: expansion \: of \: {(x - y)}^{2} \\ so \: put \: x = 3and \: = 2in {(x - y)}^{2} \\ then \: {(3 - 2)}^{2} \\ = {1}^{2} = 1 \\ thank \: you[/tex]

The geometric features of objects are the objects features that are constructed by the aid of elements of geometry

The definition of the geometrical features are as follows

Based on the above definitions, the values in the table are as follows;

[tex]\begin{array}{lcl} \mathbf{Feature}&& \mathbf{Denoted \ in \ diagram (s)}\\ \\Ray&&\\\\Vertex&&\\\\Angle&&\\\\Parallel \ lines &&\\\\Parallel \ planes &&\\\\Coplanar \ points&&\mathbf{C, \ F, A, N, B}\\\\Collinear \ points&&\mathbf{A, N, B}\\\\Segment \ addition \ postulate&&\mathbf{AN + NB} = AB\\\\Perpendicular \ lines&&\end{array}\right][/tex]

The features in the diagram are;

Coplanar points: C, F, A, N, B

Collinear points: A, N, B

Segment addition postulate: AN + NB = AB

Learn more about geometric features here:

https://brainly.com/question/11672333

Answer:

[tex] - \frac{8}{9} \div ( - \frac{8}{9} ) \\ - \frac{8}{9} \times ( - \frac{9}{8} ) \\ = 1[/tex]

I hope I helped you^_^

[tex]Hello[/tex] [tex]There![/tex]

The answer is...

A. f (-1) = 6.

C. The domain for (x) is the set (-2, -1, 0, 1, 2, 3, 4, 5, 6).

Hopefully, this helps you!!

[tex]JesusLoveMeAlways[/tex]

:)

Answer:

[tex](x + 2) \: \: and \: \: (x-6)[/tex]

Step-by-step explanation:

[tex] {x}^{2} −14−12 \\ = {x}^{2} + 2x - 6x - 12 \\ = x(x + 2) - 6(x + 2) \\ = (x + 2)(x - 6)[/tex]

(x + 2) and (x-6) are the side lengths which should be used to model the rectangle.

The area of Rectangle is length times of width.

Given that  rectangle with an area of x² - 4x - 12 square units.

We have to find the side lengths which should be used to model the

rectangle.

x² - 4x - 12

x square minus four times of x minus twelve.

x² -6x+2x-12

Now factorize the given expression.

x(x-6)+2(x-6)

(x+2)(x-6)

Hence, (x + 2) and (x-6) are the side lengths which should be used to model the rectangle.

To learn more on Rectangle click:

https://brainly.com/question/20693059

#SPJ7

Answer:

10 times

Step-by-step explanation:

The value of the 7 in 70,048 is 70,000

The value of the 7 in 17,992 is 7,000.

If you divide 70,000 by 7,000, you get 10.

The first 7 is 10 times greater than the 2nd.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:10 times

Step-by-step explanation:

The value of 7 in 70,048 stands for 7 Ten thousand  which is equal to 70,000

Also 7 in 17,992 stands for 7 thousand which is equal to  7,000

So we divide to know how much the lesser value is in the grater vale giving us

70,000/7,000 =10

Therefore, the value of 7 in 70,048 is 10 times  than the value of 7 in 17,992

See similar answer here: https://brainly.com/question/13200619

Answer:

38x

Step-by-step explanation:

[tex]6x^{2}+2x\\=\\36x+2x\\=\\38x[/tex]

Chow,...!

Answer:

Step-by-step explanation:

cos(2a) = cos^2(a) - sin^2(a)

cos(2a) = 2cos^(a) - 1

cos(2a) = 11/25

11/25 = 2 cos^(a) - 1             Add 1 to both sides

1 + 11/25 = 2 cos^2

25/25 + 11/25 = 2 cos^2(a)

36/25 = 2 cos^2 (a)            Divide by 2

36/50 = cos^2 (a)               Take the square root of both sides.

6/5*sqrt(2) = cos(a)            

One is given the following:

One is asked to prove the following:

In order to prove the statement above, one will need to use a trigonometric identity. In this case, the following identity is the most relevant in the proof.

[tex]cos(2a)=2cos^2(A)-1[/tex]

One can manipulate this identity to suit the needs of the given problem:

[tex]cos(2a)=2cos^2(A)-1[/tex]

[tex]cos(2a)+1=2cos^2(A)[/tex]

[tex]\frac{cos(2a)+1}{2}=cos^2(A)[/tex]

[tex]\sqrt{\frac{cos(2a)+1}{2}}=cos(A)[/tex]

Now substitute the given information into this identity,

[tex]cos(2A)=\frac{11}{25}[/tex]

[tex]\sqrt{\frac{cos(2a)+1}{2}}=cos(A)[/tex]

Substitute,

[tex]\sqrt{\frac{\frac{11}{25}+1}{2}}=cos(A)[/tex]

Simplify, remember, any number over itself equals (1) and, in order to add two fractions, they must have the same denominator.

[tex]\sqrt{\frac{\frac{11}{25}+1}{2}}=cos(A)[/tex]

[tex]\sqrt{\frac{\frac{11}{25}+\frac{25}{25}}{2}}=cos(A)[/tex]

[tex]\sqrt{\frac{\frac{36}{25}}{2}}=cos(A)[/tex]

[tex]\sqrt{\frac{18}{25}}=cos(A)[/tex]

[tex]\frac{3\sqrt{2}}{5}=cos(A)[/tex]

Manipulate so that it resembles the given information; remember, any number over itself is (1), multiplying an equation by (1) doesn't change it,

[tex]\frac{3\sqrt{2}}{5}=cos(A)[/tex]

[tex]\frac{3\sqrt{2}}{5}*\frac{\sqrt{2}}{\sqrt{2}}=cos(A)[/tex]

[tex]\frac{3\sqrt{2*2}}{5*\sqrt{2}}=cos(A)[/tex]

[tex]\frac{6}{5\sqrt{2}}=cos(A)[/tex]

Answer:

28minutes

Step-by-step explanation:

Use this simple trick, it can be used almost everywhere

Time taken pieces

20mins 5

? 7

An x shape is always multiply and straight line is divide

So (7 x 20) ÷5

If u still don't understand, just comment again

Answer:

Step-by-step explanation:

No that is incorrect 28 is not the answer:

1. 4 cuts every 20 mins it would take one cut every 5 mins. You only need one more cut because 6 cuts make 7 pieces. If you draw it.

1/5= 6/30 so 30 mins!

For line 1 slope is negative, for line 2 slope is undefined, for line 3 slope is positive and for line 4 slope is zero.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

The slope of a line is a measure of its steepness and direction. To determine the sign of the slope, we need to look at the direction of the line:

Therefore, Lines 1, 2, and 4 have negative slopes, undefinable slopes for lines 2 and 3, and positive slopes for lines 3 and zero for lines 4.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ7

Answer:

365.891, 365.892, 365.893, 365.894, 365.895, 365.896

Step-by-step explanation:

Since we want 6 numbers between 365.89 and 365.91, we can add the ten-thousandths digit and count up from there.

Answer:

-7 + 5 = -2

Step-by-step explanation:

-7 + 5 = -2 is the correct equation as you can see it ended on -2 so in this equation also it's -2

Answer:

Step-by-step explanation:

Please Upload clear image

Answer:

√17

Step-by-step explanation:

Since it's a square, the area will simply be the side length squared. Therefore, we can take the square root of 17 to get the exact length. Since 17 is a prime number, it cannot be simplified any further.

Answer:

(a)Seven-tenth=

7divde by 10 =0.7

(b) 4 tenth

4 divide by 10=.4

(c) 2 ones

2 multiply by1 =2

Answer:

7.2 cm

Step-by-step explanation:

The adjacent interior angles of a rhombus must be supplementary.

Let ABCD be the rhombus whose area is 40 cm².

Let the diagonals AC and BD intersect at O.

If s is the side, one-half diagonal = s× sin(25) and the other is s× sin(65) = s × cos(25)

Area of a rhombus = ½× (a×b)²× sin(ø)]

side length, a = b

Area of rhombus = ½× s² × sin(25)cos(25)

40 cm² = ½ × s² × sin(25)cos(25)

sin(a)cos(b) = 2[sin(x+y)+sin(x-y)]

sin(a)cos(b) = 2[sin(x+y)+sin(x-y)] Since x = y = 25°

sin(a)cos(b) = 2[sin(x+y)+sin(x-y)] Since x = y = 25°sin(a)cos(b) = 2[sin(x+y)]

》40 cm² = ½ × s² × 2sin(50)

》40 cm² = s² × sin(50)

[tex] {s}^{2} = \frac{40}{ \sin(50) } \\ s = \sqrt{ \frac{40}{ \sin(50) } } [/tex]

s = 7.2260841106 cm

Therefore, the length of the side of a rhombus, s is 7.2 cm