Slove for x: -2.863.98 - 0.8y = -2.86

Answer:

B

Step-by-step explanation:

Answer:

[tex]m\angle STR=24^o[/tex]

Step-by-step explanation:

we know that

[tex]m\angle STQ=m\angle STR+m\angle RTQ[/tex] ---> by addition angle postulate

we have

[tex]m\angle STQ=48^o[/tex] ----> given problem

[tex]m\angle STR=m\angle RTQ[/tex] ----> given problem

substitute in the expression above

[tex]48^o=2m\angle STR[/tex]

Divide by 2 both sides

[tex]m\angle STR=24^o[/tex]

Answer:

A.24

Step-by-step explanation:

Answer:

First option is correct.

[tex]\sqrt[10]{4}[/tex]

Step-by-step explanation:

Given:

The given expression is [tex](4^{\frac{2}{5}})^{\frac{1}{4}}[/tex]

We write the given expression with a rational exponent as a radical expression such as.

[tex]=(4^{\frac{2}{5}})^{\frac{1}{4}}[/tex]

Simplify the above equation by multiplication of powers.

[tex]=(4^{\frac{2}{5}\times \frac{1}{4}})[/tex]

[tex]=(4^{\frac{1}{5}\times \frac{1}{2}})[/tex]

[tex]=(4^{\frac{1}{5\times 2}})[/tex]

[tex]=(4^{\frac{1}{10}})[/tex]

[tex]=\sqrt[10]{4}[/tex]

Therefore, The answer is [tex]=\sqrt[10]{4}[/tex].

Answer:

Kenja could travel a certain number of miles in 1 hour depending the speedometer. So, it is not necessary that she may always take the same number of hours it takes to travel 1 mile.

For example, If Kenja has traveled 120 miles in three hours. It means it would take 5 hours to travel 200 miles. The reason is that her unit rate is 40 miles per hour. So, it would take her 1/40 hours to travel one mile.

Step-by-step explanation:

Kenja could travel a certain number of miles in 1 hour depending the speedometer.

If she is traveling at the rate of 5 miles per hour, it would take her 12 minutes to travel one mile. The only way she can take the same number of hours to travel 1 miles if she travels at the rate of 1 mile per hour.

For example, if Kenja has traveled 120 miles in three hours. It means it would take 5 hours to travel 200 miles. The reason is that her unit rate is 40 miles per hour.

As

[tex]\frac{120}{3} = 40 mph[/tex]  

So, if the unit rate is 40 mph, then it would take her 1/40 hours to travel one mile.

So, it is not necessary that she may always take the same number of hours it takes to travel 1 mile.

Keywords: miles per hour, speed, unit time

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Well ,I am not sure about the answer....

Answer: D. {145, 165, 165, 165, 165, 165, 175, 175, 175, 175, 175, 175, 185}

Step-by-step explanation:

In the given dot plot that is showing the pulse rates of runners after finishing a marathon, it can be seen that ,

There are 1 dot on 145, 5 dots on 165, 6 dots on 175 and 1 dot on 185.

So , the data sets is representing this would be {145, 165, 165, 165, 165, 165, 175, 175, 175, 175, 175, 175, 185} , which has the same number of values as the dot plot.

Hence, the data set representing the dot plot would be :

D. {145, 165, 165, 165, 165, 165, 175, 175, 175, 175, 175, 175, 185}

The data set that represented by the dot plot given is:

D. {145, 165, 165, 165, 165, 165, 175, 175, 175, 175, 175, 175, 185}

In a dot plot, each data point in a data set is represented by a dot.

To find out the data set that is represented in the dot plot, list out the data points as plotted on the dot plot given.

Thus:

Therefore, the data set that represented by the dot plot given is:

D. {145, 165, 165, 165, 165, 165, 175, 175, 175, 175, 175, 175, 185}

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(1, 12)

(420, 12)

Any coordinate with a y value of 12 lies on the line y = 12.

-----

(-5, 69)

(-5, 13)

Any coordinate with an x value of -5 lies on the line x = -5.

-----

Since the equation must be perpendicular to the line x = 4, which is a vertical line, it must also be written in the form x = a.

Since the x coordinate is 3, the equation of the line is simply x = 3.

I need this answer too, did you figure it out?

The standard form is [tex]7x^7 + 6x^5 -3x^3 + 8x[/tex]

Solution:

Given that we have to write the given equation in standard form,

[tex]6x^5 + 8x - 3x^3 + 7x^7[/tex]

In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to write

The terms are ordered from biggest exponent to lowest exponent

In the given equation,

[tex]6x^5 + 8x - 3x^3 + 7x^7[/tex]

7 is the highest exponent. So we write the standard form as,

[tex]7x^7 + 6x^5 -3x^3 + 8x[/tex]

Thus the terms are arranged from highest exponent to lowest exponent

The  standard form of the polynomial in 6x^5 + 8x-3x^3+7x^7 is

7x^7 +6x^5+ 8x-3x^3 ].

Polynomials can simply be explained as expressions of algebraic inclinations that bear variables and coefficients.

When polynomials are expressed in a way where the term with the highest degree is written first, the polynomial is said to be in its standard form.

Therefore, 7x^7 +6x^5+ 8x-3x^3 is the  standard form

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Answer:

[tex]y^4+1+\dfrac{1}{y^4}[/tex]

Step-by-step explanation:

Consider expression

[tex]y^7-\dfrac{1}{y^5}[/tex]

Rewrite it:

[tex]\dfrac{y^7\cdot y^5-1}{y^5}=\dfrac{y^{12}-1}{y^5}[/tex]

Consider the numerator:

[tex]y^{12}-1=(y^4)^3-1^3[/tex]

Use formula:

[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]

So,

[tex](y^4)^3-1^3=(y^4-1)((y^4)^2+y^4\cdot 1+1^2)=(y^4-1)(y^8+y^4+1)[/tex]

Now,

[tex]\dfrac{y^7\cdot y^5-1}{y^5}=\dfrac{(y^4-1)(y^8+y^4+1)}{y^5}=\dfrac{y^4-1}{y}\cdot \left(y^4+1+\dfrac{1}{y^4}\right)[/tex]

Hence,

[tex]GCF(y^7-\frac{1}{y^5}, y^4+1+\frac{1}{y^4})=y^4+1+\dfrac{1}{y^4}[/tex]

Answer:

Step-by-step explanation:

Consider expression

Rewrite it:

Consider the numerator:

Use formula:

So,

Now,

Hence,

Answer:

Step-by-step explanation:

20 times 4 add 5 is

20*4+5

20*4=80

80+5=85

85 is your answer

Answer: 85.

Step-by-step explanation: 20 times 4 equals 80, add 5 to that makes 85.

And the equation in mathematical form: ( 20 X 4 ) = 80 + 5 = 85.

Hope this helps, if not, comment below please!!!!!

Upon evaluating the function f(n) = (2n + 3)2 – 2n at the given values, the true statement is f(3) = 75.

To determine which statement about the function f(n) = (2n + 3)2 – 2n is true, we must evaluate the function at the given values of n.

Therefore, the statement that is true is f(3) = 75.

Answer:

x:3

Step-by-step explanation:

Answer:

So the Conclusion is that 4000 km/h is the constant speed.

Step-by-step explanation:

Given:

Time (hrs)  |  Distance (km)

0.5             |    2000

 1               |   4000

1.5             |  6000

To Find:

Constant Speed:

Solution:

We know ,

[tex]Speed =\frac{Distance}{Time}[/tex]    

For the first case we have

[tex]Speed=\frac{2000}{0.5} =4000\ km/h[/tex]

For the second case we have

[tex]Speed=\frac{4000}{1} =4000\ km/h[/tex]

For the third case we have

[tex]Speed=\frac{6000}{1.5} =4000\ km/h[/tex]

So the Conclusion is that 4000 km/h is the constant speed

Answer:

He will earn 45.50 in five hours.

Step-by-step explanation:

Answer:

45.5

Step-by-step explanation:

9.10*5

Answer:

area of rectangle garden=6x^2-23x+20

Step-by-step explanation:

given lengtarden=l=3x-4

         width of rectangle garden=b=2x-5

area of rectangle garden=a=lb

                                        =(3x-4)(2x-5)

                                        =6x^2-15x-8x+20

                                       =6x^2-23x+20

area of rectangle garden=6x^2-23x+20  answer

The original 15 people are 10% of the total number of people who received the mail.

Step-by-step explanation:

Given,

Number of people who received mail = 15

Mail further sent to 3 more friends;

Number of people who received mail from 15 people = 15*3 = 45 people

Number of people who received mail from 45 people = 45*2 = 90 people

Total number of people = 15+45+90 = 150 people

Now,

Percent of original people = [tex]\frac{Number\ of\ original\ people}{Total\ number\ of\ people}*100[/tex]

Percent of original people = [tex]\frac{15}{150}*100=10\%[/tex]

The original 15 people are 10% of the total number of people who received the mail.

Keywords: multiplication, percentage

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Answer:

The options 3, 4, and 5 are functions.

Step-by-step explanation:

If there is more than one value of y for a given single value of x then this is called a relation but not a function.

That geometrically means that if you can draw a vertical line that intersects the graph that is plotted from the given points that intersect the graph at more than one point then this graph is called a relation and not a function.

Here, in option one the points on the graph are given to be (6,-6), (-3,12), (6,-1) and (-8,13), which is not a function as there are two values of y for x = 6.

Now, in option two the points on the graph are given to be (0,0.5), (2,1), (1,2.5) and (0,2), which is also not a function as there are two values of y for x = 0.

Now, in option three the points on the graph are given to be (8,7), (7,8), (6,5) and (5,6). this can be a function.

Now, in option four the points on the graph are given to be (-2,7), (-3,9), (-5,9) and (-8,11). this can be a function.

Finally, in option five the points on the graph are given to be (-3,0), (-5,8), (-7,8) and (-9,0). this can be a function. (Answer)

Answer:

Therefore the Minimum value of f(x) is 2.

Step-by-step explanation:

Given:

[tex]f(x)=x^{2} + 6x+11[/tex]

To Find:

minimum or maximum value of f(x)

Solution:

To find minimum or maximum value of f(x)

Step 1 . Find f'(x) and f"(x)

[tex]f(x)=x^{2} + 6x+11[/tex]

Applying Derivative on both the side we get

[tex]f'(x)=\dfrac{d(x^{2})}{dx}+\dfrac{d(6x)}{dx}+\dfrac{d(11)}{dx}[/tex]

[tex]f'(x)=2x+6+0[/tex]

Again Applying Derivative on both the side we get

[tex]f''(x)=\dfrac{d(2x)}{dx}+\dfrac{d(6)}{dx}[/tex]

[tex]f''(x)=2[/tex]

Step 2. For Maximum or Minimum f'(x) = 0 to find 'x'

[tex]2x+6=0\\\\2x=-6\\\\x=\dfrac{-6}{2}=-3[/tex]

Step 3. IF f"(x) > 0 then f(x) is f(x) is Minimum at x

            IFf"(x) < 0 then f(x) is f(x) is Maximum at x

Step 4. We have

[tex]f''(x)=2[/tex]

Which is grater than zero

then f(x) is Minimum at x= -3

Therefore the Minimum value of f(x) is 2.

The minimum value is 2 when x = -3.

The minimum or maximum value of the function f(x) = x^2 + 6x +11, we need to complete the square or use the vertex formula for a quadratic function.

The function is a parabola that opens upwards (since the coefficient of the x2 term is positive). To complete the square, we group the x-terms and add and subtract the square of half the coefficient of x:

f(x) = (x^2 + 6x + 9) + 11 - 9

f(x) = (x + 3)^2 + 2

The minimum value of this parabola occurs at the vertex, which is (-3, 2).

Answer:

I think it is B. 52.3

Answer:

13.1 in

Step-by-step explanation:

apex

Answer:

Yes, No, Yes, Yes

Step-by-step explanation:

1a = Yes

1b= No

1c= Yes

1d =Yes

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Answer:

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Using notation as in Fig. 1, the law of cosines states where γ denotes the angle contained between sides of lengths a and b and opposite the side of length c.

Step-by-step explanation:

Answer:

X = 117.9°

Step-by-step explanation:

Rearranging the cosine rule to obtain C

cosC = [tex]\frac{a^2+b^2-c^2}{2ab}[/tex]

Here C = X, a = 50, b = 55, c = 90

cosX = [tex]\frac{50^2+55^2-90^2}{2(50)(55)}[/tex]

        = [tex]\frac{2500+3025-8100}{5500}[/tex]

        = [tex]\frac{-2575}{5500}[/tex], thus

X = [tex]cos^{-1}[/tex]( - [tex]\frac{2575}{5500}[/tex] ≈ 117.9°

The terms 'solution,' 'root,' 'x-intercept,' and 'zero' are related in mathematics, but they are not always the same.

The statement in the question is false. Though the terms 'solution,' 'root,' 'x-intercept,' and 'zero' are related in mathematics, they are not always the same.

In quadratic equations, for example, the 'solution' refers to the values of x that make the equation equal to zero, while 'root' refers to the values of x that satisfy the equation. 'X-intercept' refers to the points on the graph where the equation intersects the x-axis, while 'zero' refers to the x-values for which the equation equals zero.

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Answer:

[tex]3.5 - 1.4 + 2.9 \\ = 5[/tex]

hope this helps you

Answer:

3.5 - 1.4 + 2.9 = 5

Step-by-step explanation:

 3. 5 - 1.4 + 2.9

At first, we will add 3.5 and 2.9 and then we will subtract 1.4 from the sum of 3.5 and 2.9.

So, 3.5 - 1.4 + 2.9

= (3.5 + 2.9) - 1.4

= 6.4 - 1.4

= 5

So, the value of 3.5 - 1.4 + 2.9 is 5.

Step-by-step explanation:

This is most easily solved by writing the factored form:

[tex]f(x) = (x + 9)(x + 1)[/tex]

Notice how, if we were to substitute -9 for x, the left part would be -9 + 9 = 0. Since (x + 1) × 0 = 0, this makes the function 0. The same logic applies for the right part.

Final answer:

A quadratic function with zeros at -9 and -1 can be written as f(x) = (x + 9)(x + 1) or f(x) = x^2 + 10x + 9 when expanded.

Explanation:

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical phrase or statement. Expressions can consist of variables, constants, arithmetic operations (such as addition, subtraction, multiplication, and division), exponents, and functions.

To write a quadratic function f with zeros at -9 and -1, we use the fact that a quadratic function f(x) can be represented in the form f(x) = a(x - r1)(x - r2), where r1 and r2 are the zeros of the function and a is a nonzero coefficient. In this case, our zeros are -9 and -1, giving us f(x) = a(x + 9)(x + 1). To keep the function in simplest form, we can choose a = 1, which gives us the quadratic function f(x) = (x + 9)(x + 1) or f(x) = x2 + 10x + 9 after expanding the expression.

Final answer:

A quadratic function with zeros at -9 and -1 can be written as f(x) = (x + 9)(x + 1) or f(x) = x^2 + 10x + 9 when expanded.

Explanation:

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical phrase or statement. Expressions can consist of variables, constants, arithmetic operations (such as addition, subtraction, multiplication, and division), exponents, and functions.

To write a quadratic function f with zeros at -9 and -1, we use the fact that a quadratic function f(x) can be represented in the form f(x) = a(x - r1)(x - r2), where r1 and r2 are the zeros of the function and a is a nonzero coefficient. In this case, our zeros are -9 and -1, giving us f(x) = a(x + 9)(x + 1). To keep the function in simplest form, we can choose a = 1, which gives us the quadratic function f(x) = (x + 9)(x + 1) or f(x) = x2 + 10x + 9 after expanding the expression.

Answer:

saving amount=$38.7

Step-by-step explanation:

given cost price=$86

discount on black friday=45%

selling price=cost price(1-discount%)

selling price=86(1-[tex]\frac{45}{100}[/tex])

selling price=86([tex]\frac{55}{100}[/tex])

selling price=$47.3

saving amount=$86-$47.3=$38.7

saving amount=$38.7 answer

To find the savings on the shoes, multiply the original price by 45% to find the discount amount, then subtract it from the original price. The savings amount to $38.70.

You want to know how much you will save on a new pair of shoes that costs $86 if they are discounted by 45% on Black Friday. To calculate the savings, you need to calculate 45% of the original price and then subtract that amount from the original price.

Step-by-Step Calculation:

Calculate 45% of $86: (0.45 × $86 = $38.70).

Subtract the discount from the original price: ($86 - $38.70 = $47.30).

Therefore, if you wait until Black Friday, you will save $38.70 on the shoes.

Answer:

n = 1

Step-by-step explanation:

First, rearrange the equation to standard form 0 = ax² + bx + c, when everything equals 0.

5n² = 5

5n² - 5 = 0

State the variables a, b and c.

a = 5;  b = 0;  c = -5

Substitute a, b, and c into the quadratic formula.

[tex]n = \frac{-b ±\sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]n = \frac{-0 ±\sqrt{0^{2}-4(5)(-5)} }{2(5)}[/tex]   Substitute

[tex]n = \frac{\sqrt{100} }{10}[/tex]   Simplify inside the √ and bottom

[tex]n = \frac{10}{10}[/tex]  Simplify the top

[tex]n = 1[/tex]  Final answer

Therefore the solution is n = 1.

The quadratic formula usually is written with x, but it can be solved with any variable in standard form.

Final answer:

Being a storehouse of value means the item retains its worth over time, allowing it to be saved, stored, and reliably used later as a medium of exchange, like money or other assets with lasting value.

Explanation:

To be a storehouse of value means that the item, such as money, can retain its worth over some time. Unlike goods that may deteriorate, go out of style, or otherwise lose value, a storehouse of value allows individuals to save and store their wealth, retrieving it later with confidence that it will still be valuable.

Money is a common store of value since you do not need to spend it right away and can trust that even with the potential erosion of value due to inflation, it will remain a valid medium for future transactions.

Goods such as houses, artworks, or financial assets are also considered stores of value, but money is distinguished by its liquidity—being readily exchangeable for other goods or services. Although not perfect due to inflation, money's role as a medium of exchange in financial markets and aggregate expenditure makes it a convenient choice for storing value, especially when compared to the barter system.

In conclusion, option D - Any item that maintains its worth over time, accurately describes a storehouse of value.