The answer to this math problem need help

9514 1404 393

Answer:

  9

Step-by-step explanation:

The ordered pair (2, 4) in the relation for function F tells you F(2) = 4.

The ordered pair (2, 5) in the relation for function G tells you G(2) = 5.

Then the sum is ...

  (F+G)(2) = F(2) +G(2) = 4 +5

  (F+G)(2) = 9

Answer:

The current price of the item is $600.

The price of the item 9 years from today will be of $756.

Step-by-step explanation:

Price of the item:

The price of the item, in dollars, after t years, is given by:

[tex]p(t) = 600(1.026)^t[/tex]

Current price of the item

This is p(0). So

[tex]p(0) = 600(1.026)^0 = 600[/tex]

The current price of the item is $600.

9 years from today.

This is p(9). So

[tex]p(9) = 600(1.026)^9 = 756[/tex]

The price of the item 9 years from today will be of $756.

Answer:

BẠN BỊ ĐIÊN À

Step-by-step explanation:

CÚT

Answer:

In picture.

Step-by-step explanation:

To do this answer, you need to count the boxes up to the mirror line. This will give us the exact place to draw the triangle.

The picture below is the answer.

Answer:

32

Step-by-step explanation:

they will each age two years, 3x2 is 6, add 6 to 26

Answer:

32

Step-by-step explanation:

they will each age two years, 3x2 is 6, add 6 to 26

Answer:

Following are the response to the given question:

Step-by-step explanation:

For question 1:

Following are the regression equation:

[tex]price = 2044.03 - 28.35 \ \ (weight)[/tex]

[tex]\sigma = 94.353\\\\R^2 = 0.7647\\\\R^2\ (adj.) = 0.75\\\\[/tex]

For question 2:

Test of connection importance at 5 percent significance:

[tex]p-value < 0.000001\\\\p-value< 0.05[/tex]

Two variables could be said to be connected.

For question 3:

[tex]R^2 = 0.7647[/tex]

The computed equations of the regression fit well.

Answer:

A cable that weighs 6 lb/ft is used to lift 600 lb of coal up a mine shaft 500 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum.

Step-by-step explanation:

there are 12 set of months in a year

Answer:

[tex]8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^{14} - 2x^{12}}{x^{10}y^8}[/tex]

Step-by-step explanation:

Given

[tex]8x^{-10}y^6 - 2x^2y^{-8}[/tex]

Required

Simplify

Rewrite as:

[tex]8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^6}{x^{10}} - \frac{2x^2}{y^8}[/tex]

Take LCM

[tex]8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^6*y^8 - 2x^2 * x^{10}}{x^{10}y^8}[/tex]

Apply law of indices

[tex]8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^{14} - 2x^{12}}{x^{10}y^8}[/tex]

9514 1404 393

Answer:

  LW = 17.5

Step-by-step explanation:

In this geometry, all of the right triangles are similar. This means the ratio of long side to short side is the same for all of the triangles:

  WA/YA = YA/LA

  WA = YA²/LA = 7.0²/3.5 = 14.0

Then the length of LW is ...

  LW = LA +AW = 3.5 +14.0

  LW = 17.5

Answer:

5-Cy/r  = d

Step-by-step explanation:

C=r(5-d)/y

Multiply each side by y

Cy=r(5-d)/y *y

Cy=r(5-d)

Divide each side by r

Cy/r=r(5-d)/r

Cy/r=(5-d)

Subtract 5 from each side

Cy/r - 5 = 5-d-5

Cy/r - 5 = -d

Multiply by -1

-Cy/r + 5 = d

5-Cy/r  = d

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]C=\dfrac{r(5-d)}{y}\\\\cy=r(5-d)\\\\5-d=\dfrac{cy}{r}\\\\-d=\dfrac{cy}{r-5}\\\\d=-\dfrac{cy}{r}+5\\\\d=5-\dfrac{cy}{r}[/tex]

Answer:

25/3 ft/s

Step-by-step explanation:

Height of pole , h=15 ft

Height of man, h'=6 ft

Let BD=x

BE=y

DE=BE-BD=y-x

All right triangles are similar

When two triangles are similar then the ratio of their corresponding sides are equal.

Therefore,

[tex]\frac{AB}{CD}=\frac{BE}{DE}[/tex]

[tex]\frac{15}{6}=\frac{y}{y-x}[/tex]

[tex]\frac{5}{2}=\frac{y}{y-x}[/tex]

[tex]5y-5x=2y[/tex]

[tex]5y-2y=5x[/tex]

[tex]3y=5x[/tex]

[tex]y=\frac{5}{3}x[/tex]

Differentiate w.r.t t

[tex]\frac{dy}{dt}=\frac{5}{3}\frac{dx}{dt}[/tex]

We have dx/dt=5ft/s

Using the value

[tex]\frac{dy}{dt}=\frac{5}{3}(5)=\frac{25}{3}ft/s[/tex]

Hence, the tip of  his shadow moving  with a speed 25/3 ft/s when he is 45 feet from the pole.

Answer:

The tip pf the shadow is moving with speed 25/3 ft/s.

Step-by-step explanation:

height of pole = 15 ft

height of man = 6 ft

x = 45 ft

According to the diagram, dx/dt = 5 ft/s.

Now

[tex]\frac{y-x}{y}=\frac{6}{15}\\\\15 y - 15 x = 6 y \\\\y = \frac{5}{3} x\\\\\frac{dy}{dt} = \frac{5}{3}\frac{dx}{dt}\\\\\frac{dy}{dt}=\frac{5}{3}\times 5 =\frac{25}{3} ft/s[/tex]

Answer:

To obtain a "B", Rita needs to score between 76.7 and 100.

Step-by-step explanation:

Chapter tests mean:

[tex]M = \frac{70 + 76 + 86 + 87 + 85}{5} = 80.8[/tex]

Grades:

80.8 worth 60% = 0.6

85 worth 10% = 0.1

x worth 0.3.

So her grade is:

[tex]G = 80.8*0.6 + 85*0.1 + 0.3x = 56.98 + 0.3x[/tex]

What scores can Rita earn on the final  exam to earn a "B" in the course if the cut-off for a "B" is an overall score greater than or equal to 80, but less than 90?

G has to be greater than or equal to 80 and less than 90, so:

[tex]80 \leq G < 90[/tex]

Lower bound:

[tex]G \geq 80[/tex]

[tex]56.98 + 0.3x \geq 80[/tex]

[tex]0.3x \geq 80 - 56.98[/tex]

[tex]x \geq \frac{80 - 56.98}{0.3}[/tex]

[tex]x \geq 76.7[/tex]

Upper bound:

[tex]G < 90[/tex]

[tex]56.98 + 0.3x < 80[/tex]

[tex]0.3x < 90 - 56.98[/tex]

[tex]x < \frac{90 - 56.98}{0.3}[/tex]

[tex]x < 110[/tex]

Highest grade is 100, so:

To obtain a "B", Rita needs to score between 76.7 and 100.

Answer:

6

Step-by-step explanation:

First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.

Expanding, we get

(x³-3x+1)²  = (x³-3x+1)(x³-3x+1)

= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1

= x^6 - 6x^4 + 2x³ +9x²-6x + 1

In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Given

[tex]\log6^{(4x-5)} =\log6^{(2x+1)}[/tex]

Required

Solve for x

We have:

[tex]\log6^{(4x-5)} =\log6^{(2x+1)}[/tex]

Remove log6 from both sides

[tex](4x-5) = (2x+1)[/tex]

Collect like terms

[tex]4x - 2x = 5 + 1[/tex]

[tex]2x = 6[/tex]

Divide by 2

[tex]x = 3[/tex]

Answer:

this has no real solution.

only in the realm of complex and imaginary numbers.

x = 1/3 ± sqrt(11)i/3

Step-by-step explanation:

I read as the equation to be solved :

3x² - 2x + 4 = 0

the solution to such a quadratic equation is

x =(-b ± sqrt(b² - 4ac))/(2a)

in our case

a=3

b=-2

c=4

so,

x = (2 ± sqrt(4 - 48))/6 = (2 ± sqrt(-44))/6 =

= (2 ± sqrt(4×-11))/6 = (2 ± 2×sqrt(-11))/6 =

= (1 ± sqrt(11)×i)/3 = 1/3 ± sqrt(11)i/3

9514 1404 393

Answer:

  (f -g)(x) = |2x +3| -12

Step-by-step explanation:

The difference of the functions is ...

  (f -g)(x) = f(x) -g(x) = |2x +3| -5 -7

  (f -g)(x) = |2x +3| -12

Answer:

The new coordinates are [tex]A'(x,y) = (3, 0)[/tex], [tex]B'(x,y) = (6, -3)[/tex] and [tex]C'(x,y) = (2, -3)[/tex].

Step-by-step explanation:

Vectorially speaking, the translation of a point can be defined by the following expression:

[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)

Where:

[tex]V(x,y)[/tex] - Original point.

[tex]V'(x,y)[/tex] - Translated point.

[tex]T(x,y)[/tex] - Translation vector.

If we know that [tex]A(x,y) = (-3,4)[/tex], [tex]B(x,y) = (0,1)[/tex], [tex]C(x,y) = (-4,1)[/tex] and [tex]T(x,y) = (6, -4)[/tex], then the resulting points are:

[tex]A'(x,y) = (-3, 4) + (6, -4)[/tex]

[tex]A'(x,y) = (3, 0)[/tex]

[tex]B'(x,y) = (0,1) + (6, -4)[/tex]

[tex]B'(x,y) = (6, -3)[/tex]

[tex]C'(x,y) = (-4, 1) + (6, -4)[/tex]

[tex]C'(x,y) = (2, -3)[/tex]

The new coordinates are [tex]A'(x,y) = (3, 0)[/tex], [tex]B'(x,y) = (6, -3)[/tex] and [tex]C'(x,y) = (2, -3)[/tex].

Answer: Commutative Property of Addition

Explanation: The problem 3 + 2 = 2 + 3 demonstrates the commutative property of addition. In other words, the commutative property of addition says that changing the order of the addends does not change the sum.

For example here, we can easily see that the sum of 3 + 2,

which is 5, is equal to the sum of 2 + 3, which is also 5.

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Answers:

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

Explanation:

Imagine that we have point A as a buoy in the water. So the horizontal line through 1 on the y axis is the water line. How much should the water line go up so that points A and B are on the same horizontal level? That would be 1 unit up. This is the vertical change. Another term for this is "rise".

After the water goes up, and A and B are on the same level, the question is now: how far to the right do we go from A to B? That would be 2 units. This is the horizontal change. Another term for this is "run".

Using those two values, we can compute the rate of change aka slope.

slope = rise/run = 1/2 = 0.5

So each time we go up 1 (rise) we move to the right 2 (run).

The slope is positive since we're moving uphill while moving to the right.

We can split 200 into 100 x 2.

100 is a perfect square and its square root is 10. The 2 will remain under the radical.

ANSWER: 10 sqrt(2)

(Option 2)

Hope this helps!

Answer:

The cost of sending the telegram is $6.

Step-by-step explanation:

Since 3 St. Post Office charges for an ordinary telegram are $ 4 for the first 10 words and 40 cents for each extra word, to calculate the cost of sending this telegram: MR KAMAU ARRIVING AT 0630 EAST AFRICAN TIME ON BOARD KQ 46 INFORM THE WIFE must perform the following calculation:

The telegram has 15 words.

4 + ((15 - 10) x 0.40) = X

4 + (5 x 0.40) = X

4 + 2 = X

6 = X

Therefore, the cost of sending the telegram is $ 6.

Answer:

60, 37, 34, 28, 40

(D)

ED2021

The best representation of the data would be a D. Dot plot - because a small number of scores are reported individually and for each class.

While the two data visualization charts look good for plotting data frequencies, the choice goes to the data visualization chart that more accurately represents the small data set, which is the dot plot.

Learn more about the difference between dot plots and histograms at https://brainly.com/question/23402662

Answer:

D.) Dot plot, because a small number of scores are reported individually

Step-by-step explanation:

Since the Data is not presented in ranges, we know it is better to not use a histogram. Also, dot plots are best for plotting individual data such as what is shown in the table! pleaseee give brainiest I need the points!!! :)

Answer:

260% is the correct answer

Step-by-step explanation:

i hope i helped

Answer:

35

Step-by-step explanation:

y = 35x+23 is in the form

y = mx+b  where m is the slope and b is the y intercept

The slope can also be called the rate of change

35 is the slope

Answer:

[tex]{ \tt{hypotenuse = { \boxed{5}}}} \\ { \tt{opposite = { \boxed{3}}}} \\ { \tt{adjacent = { \boxed{4}}}} \\ \\ { \tt{ \sin \angle R = \frac{{ \boxed{3}}}{{ \boxed{5}}} }} \\ \\ { \tt{ \cos \angle R = \frac{{ \boxed{4}}}{{ \boxed{5}}} }} \\ \\ { \tt{ \tan \angle R = \frac{ \boxed{3}}{{ \boxed{4}}} }}[/tex]