Help!!!!
Given log7⁡3≈0.5646 and log7⁡16≈1.4248, evaluate the expressions.​

Answer:

Step-by-step explanation:

Given the expression 11 + t/2 - 6, we are the find the output value when t = 5. To do that, we will simply substitute t = 5 into the given expression as shown;

f(t) = 11 + t/2 - 6

f(5) = 11 + 5/2 - 6

f(5) = 11 + 2.5 - 6

f(5) = 13.5 - 6

f(5) = 7.5

Hence the value of the function when t = 5 is 7.5

Answer:

A,E

Step-by-step explanation:

thx person in the comments  

got it right btw to

Answer:

2.15 km

Step-by-step explanation:

Answer:

$2.50

Step-by-step explanation:

Answer:

$2.5

Step-by-step explanation:

Answer:

y = 50x+25

f(x) = 50x+25

Step-by-step explanation:

Using the slope intercept form of the equation, y = mx+b

where x is the amount per day and b is the flat fee

2 days

125 = 2x+b

5 days

275 = 5x+b  

Subtract

275 = 4x+b  

125 = 2x+b

---------------------

150 = 3x

Divide by 3

150/3 = 3x/3

50 =x

The cost per day is 50 dollars

y = 50x +b

Using the data for 2 days

125 = 50*2 +b

125 = 100 +b

125-100 = b

b = 25

The equation is y = 50x+25

f(x) = 50x+25

To graph, The x axis is number of days and the y axis is total cost

The number of days starts with 0, which is the y intercept

Let x = 0, y =25

Using the slope, we go 50 up and 1 to the right ( 50 dollars per day)

The next point plotted ins ( 1,50)

Draw a straight line

Answer:

y = 50x+25

f(x) = 50x+25

Answer:

50% duhh

Step-by-step explanation:

25% is also a equation

Answer:

A). 101 inches

B). 110 years

Step-by-step explanation:

Years since planting           Circumference          Difference

             1                                        3                               -

             2                                       5                        (5 - 3) = 2

             3                                       7                         (7 - 5) = 2

             4                                       9                        (9 - 7) = 2

             5                                       11                        (11 - 9) = 2

             6                                       13                       (13 - 11) = 2

There is a difference of 2 in every successive term of the circumference.

Therefore, the given sequence is an arithmetic sequence.

Explicit formula of an arithmetic sequence is given by,

[tex]A_n=a+(n-1)d[/tex]

Here a = first term

n = number of terms

d = common difference

From the given table,

[tex]A_n=3+(n-1)2[/tex]

[tex]A_n=2n+1[/tex]

Here [tex]A_n[/tex] = circumference after 'n' years

n = Age of the plant

By this formula,

Circumference of a tree after 50 years,

[tex]A_{50}=2(50)+1[/tex]

      = 101 inches

Age of tree with the circumference = 221 inches,

221 = 2n + 1

2n = 220

n = 110 years

Answer:

X = 57*

Step-by-step explanation:

Answer:57 degrees

Step-by-step explanation:

x is congruent to the given angle 57 degrees because of its opposite side positioning on the parallel angles

Answer:

y = 2x + 21

Explanation:

The slope is 2 so it would go for mx

The y-inter. for the graph is 21

your equation is y = 2x + 21

Answer: 3060x17

Step-by-step explanation: because you have to multiply the numbers all of them

Answer:

Add 7 to the first value, 4 to the second, then flip the signs.

Step-by-step explanation:

Well we kind of need the current coordinates but I'll help to the extent I can!

In an ordered pair the first value is the (x) and the second is the (y) .

(x, y)

(x) is always the horizontal line (left & right).

(y) is always the vertical line (up & down).

So if you translate 7 units to the right, you'd add 7 to the (x) [First value in the ordered pair].

If you translate 4 units up, you'd add 4 to the (y) [Second value in ordered pair].

Now, rotating about the origin only changes whether the number is positive or negative.

If you rotate 180° it will just flip both of the values signs.

So if it was positive it becomes negative, if it was negative it becomes positive

Since I don't have the ordered pair I can't give you an answer but I can tell you what to do to get the answer.

Assuming it's a shape, for each point on the shape you will take it's coordinates, add 7 to the (x) and 4 to the (y), then flip the value sign.

Ex: If the starting coordinate was (-6, -3) we would add 7 to the (x), 4 to the (y) and get (-2, 4), flip the signs and end up with (2, -4).

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

16 years, 13 years

Step-by-step explanation:

Let their ages be x, 29-x

Equation formed:-

(x - 7) + 4 = 29 - x

→ 2x = 29 + 3

→ x = 16 years

Answer: 16 years, 13 years

Answer:

since a triangle measures up to 180 degrees getting the value of x will be all angles added together equals to 180.

(base angles) + x = 180°

46° + x = 180°

this is what I think good luck

The measure of third angle of this isosceles triangle is 134 degrees.

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

S = (n-2)*180° is the angle sum property formula for any polygon, where 'n' represents the number of sides in the polygon.

Given:

Two Base angles is 23 degree.

and third angle is x.

Using Angle Sum property

x + 23+ 23 =180

x +46 =180

x= 180- 46

x= 134

Hence, the third angle is 134 degree.

Learn more about Angle Sum Property here:

https://brainly.com/question/4316040

#SPJ2

Answer:

x - 1 < n < 3x + 5

Step-by-step explanation:

If you have two sides of a triangle, the length of the third side is at least the difference between the other two sides, and at most the sum of the other two sides.

Answer:

(n - 2)(5n + 6)

Step-by-step explanation:

Given

5n² - 4n - 12

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 5 × - 12 = - 60 and sum = - 4

The factors are - 10 and + 6

Use these factors to split the n- term

5n² - 10n + 6n - 12 ( factor the first/second and third/fourth terms )

= 5n(n - 2) + 6(n - 2) ← factor out (n - 2) from each term

= (n - 2)(5n + 6) ← in factored form

Answer:

15/8 or 1.875

Step-by-step explanation:

Let x represent a whole batch of bannock. Taira used 3/4 of her flour to make 2/5 of a whole batch so we can write the equation like this.

3/4=2/5x

Isolate x by multiplying the left side by the reciprocal of 2/5.

15/8=x

Answer:4

Step-by-step explanation:

Answer: 17.25

Step-by-step explanation:

17 x 25= 425. Obviously we can’t leave it like that. So 100 cents is one dollor right?

That means there are four dollars. Made up just by the quarters alone. Now we have to add the 13 dollars 13+4 =17.Now add back the 25 cents to make $17.25

Janet has $17.25

=)

Answer:

$77,520

Step-by-step explanation:

Answer:

b.332.2

Step-by-step explanation:

Answer:

the answer is -7.7  

Step-by-step explanation:

−2.2−5.5

−2.2+ −5.5

= --7.7

hope it helps :)

Answer:

The answer is -8

Step-by-step explanation:

-(2.5+5.5)

-8

Answer:

A

Step-by-step explanation:

A is n= n2 -1 so thats the answer

Answer:

Its D my friend

Step-by-step explanation:

Answer:

(D) yes, because (StartFraction b Over a + c EndFraction)(a + c) = b

Step-by-step explanation:

Triangle A B C with centroid G is shown on an x and y-axis. Lines are drawn from each point through the centroid to the opposite side to form line segments A F, B D, and C E. Point A is at (0, 0), point D is at (c, 0), point C is at (2 c, 0), point B is at (2 a, 2 b), point F is at (a + c, b),and point E is at (a, b).The equation of line Line A Gis y = (StartFraction b Over a + c EndFraction)x. The midpoint of BC is (a + c, b). Does the midpoint of BC lie on Line A G? Why or why not?

(A) no, because (StartFraction b Over a + c EndFraction)b does not equal a + c

(B) no, because (StartFraction b Over a + c EndFraction)(a + c) does not equal b

(C) yes, because (StartFraction b Over a + c EndFraction)b = a + c

(D) yes, because (StartFraction b Over a + c EndFraction)(a + c) = b

Answer:

-5 x 8 = -40

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

-5x8 = 14

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

Area of square 1: 81 square inches

[tex]s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9[/tex]

Perimeter of square 2: 48 inches

[tex]4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches[/tex]

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

[tex](H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15[/tex]

Hence,

The length of side of largest square is 15 inches

Proportional and linear functions are almost identical in form. The only difference is the addition of the “b” constant to the linear function. Indeed, a proportional relationship is just a linear relationship where b = 0, or to put it another way, where the line passes through the origin

Answer:

The answer is B.

Step-by-step explanation:

First, you have to convert division into multiplication and cross out the common term :

[tex] \frac{3x - 6}{ {x}^{3} } \div \frac{x - 2}{2x - 1} [/tex]

[tex] \frac{3(x - 2)}{ {x}^{3} } \times \frac{2x - 1}{x - 2} [/tex]

[tex] \frac{3}{ {x}^{3} } \times (2x - 1)[/tex]

[tex] \frac{3(2x - 1)}{ {x}^{3} } [/tex]

[tex] \frac{6x - 3}{ {x}^{3} } [/tex]

The quotient of the rational expressions is [tex]\frac{6x - 3}{x^2}[/tex]

[tex]= \frac{3x - 6}{x^3}\div \frac{x-2}{2x - 1} \\\\= \frac{3(x - 2)}{x^3} \times \frac{2x-1}{x-2}\\\\ = \frac{3}{x^3} \times (2x - 1)\\\\= \frac{3(2x - 1)}{x^2}\\\\ = \frac{6x - 3}{x^2}[/tex]

Find out more information about the  equation here:

https://brainly.com/question/2263981?referrer=searchResults

Answer:

x axis and y axis each end

Step-by-step explanation: