I literally need so much help
Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.

Hint: Use the change of base formula: log base b of y equals log y over log b.

Answer:

=3/11 of (1×3+5/9)÷9/15

=3/11 of (8/9)÷9/15

=3/11 of 8/9÷9/15

=8/33÷9/15

=8/33×15/9

=40/99

*mark me brainliest

The area of a triangle when three side lengths are calculated by Heron's Formula. Heron's Formula states that the area of a triangle is equal to the square root of s(s-a)(s-b)(s-c)

To calculate the area of a triangle when three side lengths are given, we can use Heron's Formula. Heron's Formula states that the area of a triangle is equal to the square root of s(s-a)(s-b)(s-c) where s is half the perimeter of the triangle and a, b, and c are the lengths of the sides of the triangle.

To calculate the area of the triangle given three side lengths, we first need to calculate the perimeter (p) of the triangle. The formula for the perimeter is p=a+b+c.

Then, use this formula to calculate s, which is half the perimeter.

s = p/2

Once s is calculated, plug it into Heron's Formula to calculate the area of the triangle.

Area = √s(s-a)(s-b)(s-c)

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Answer:

The equation you would use to solve this problem is:

A = P * e^(rt)

Where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of years.

We can rearrange the equation to solve for t:

t = (ln(A/P)) / r

Plugging in the values we know:

t = (ln(3*25000/25000)) / (0.0475)

t = (ln(3)) / (0.0475)

t = 4.93 years

So it will take about 4.9 years for John's investment to triple, to the nearest tenth.

Step-by-step explanation:

The equation that represents the situation is

2p + 194.99 = 284.97

Option B is the correct answer.

The price of each game is $44.99.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Game system price = $194.99

Total price = $284.97

194.99 + 2 games = $284.97

Games = p

Now,

The price of each game.

194.99 + 2p = 284.97
2p = 284.97 - 194.99

2p = 89.98

p = 44.99

Thus,

The equation is 194.99 + 2p = 284.97.
The price of each game is $44.99.

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Answer:

5x-7-5+X=5-x-5+X

or,6x-12=0

or,6x=12

or,X=12/6

:.X=2

For the given figure, where m and nare relatively prime positive integers. The value of m+n is 32.

The law of cosines, also known as the law of cosines, relates all three sides of a triangle to one angle of the triangle. Most useful for searching for missing information in triangles. For example, if you know all three sides of a triangle, you can use the law of cosines to find the measure of the angle. Similarly, if you know two sides and the angle between them, you can find the length of the third side by the law of cosines.

Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.

Since the radius of B is 3, AX = 4.

Assume AE = p.

Then EX and EY are radii of circle E and have length 4 + p.

AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.

Using the Law of Cosines on Δ CAE, we obtain

(6+p)² =p² + 64 - 2(8)(p) cos 60

The 2 and the cos 60 terms cancel out:

p² + 12p + 36 = p² + 64 - 8p

12p+ 36 = 64 - 8p

p = 28/20

= 7/5

The radius of circle E is 4 + (7/5)

= 27/5,

So, the answer is 27 + 5 = 32

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The provided phrase, x3+4x2+ 7x+ â' 2 has four terms. and coefficient are 1 , 4 ,7 for the expression

What does the phrase mean?

Expressions are made up of terms. A term might be either a constant, a variable, or a combination of both.

What kind of phrase would that be?

A single letter, a single positive or negative integer, or a number of variables multiplied but never added or subtracted might be the only variable. A number is placed in front of some nouns that have variables. The number used before a sentence is called a coefficient. single-word illustrations: Three times in one phrase.

The mathematical operator + separates the four components in the equation x3+4x2+ 7x+â' 2.

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Answer:

3.6 miles

Step-by-step explanation:

Given information from the question,

[tex]\frac{1}{6} \ hour = \frac{3}{5} \ miles\\ 1 \ hour = \frac{3}{5} / \frac{1}{6} \ miles\\1 \ hour = \frac{18}{5} \ or\ 3\frac{3}{5} \ or \ 3.6 miles[/tex]

Answer:

Velocity is the term to illustrate speed

Step-by-step explanation:

velocity = distance ÷ time

velocity = 3/5 ÷ 1/6

= 18/5 m/h

The following is how you can calculate quantity of seed:

Sowing rate (kg/ha) = target plant population (p/m2) x TGW (g) x 100. % germination x % emergence.

The quantity of seed necessary for a unit area of land to successfully grow any crop is known as Sowing rate. In other words, the Sowing rate for that crop of the land refers to the quantity of seed needed to successfully raise a crop on a given piece of land. The Sowing rate, on the other hand, refers to the quantity of seed needed to cover a given area of land.

Goals in calculating the Sowing rate:

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Answer:

1/6

Step-by-step explanation:

There are 6 letters and the spinner lands on one at a time

Answer:

1.12 < mn

xy - x + y

2/3x - x²

xy + x/y - 10

(x + 2)³

2(4b - 2x)

Answer:

  y = -5x +4

Step-by-step explanation:

You want the point-slope equation of the line with y-intercept +4 and through the point (1, -1).

The graph shows you the line decreases 5 units from +4 to -1 as x increases 1 unit from 0 to 1. This tells you the slope is ...

  m = rise/run = -5/1 = -5

The y-intercept is the value of y where the line crosses the y-axis:

  b = 4

These values go into the point-slope equation:

  y = mx +b . . . . . . line with slope m and y-intercept b

  y = -5x +4 . . . . . . line with slope -5 and y-intercept 4

[tex]\cfrac{45p^5q^4-60p^3q^2 - 15p^2q^3}{15p^2 q^3}\implies \cfrac{45p^5q^4}{15p^2 q^3}-\cfrac{60p^3q^2}{15p^2 q^3}-\cfrac{15p^2q^3}{15p^2 q^3}\implies 3p^3q-\cfrac{4p}{q}-1[/tex]

Answer:

Ron killed 8 times as many spiders as Harry: R = 8 * H

Step-by-step explanation:

This expression represents the situation in which Ron killed 8 times as many spiders as Harry.

a) Bearing from A to B is 253°.

b) Bearing from B to A is 287°.

What is a bearing?

A bearing is an angle measured clockwise from north in mathematics. Typically, bearings are expressed as a three-figure bearing.

a)

The bearing of 73° and the co-interior angle formed must total 180°. The counter-clockwise angle from B to A is 107°.

However a bearing must always be measured clockwise from north. 107° is counter-clockwise from north.

The clockwise angle on the other side is needed. Use the angle fact that angles in a full turn add to 360°.

To work the bearing, subtract 107° from 360°.

360° – 107° = 253° and so, the bearing of A from B is 253°.

b)

The bearing of 107° and the co-interior angle formed must total 180°. The counter-clockwise angle from A to B is 73°.

However a bearing must always be measured clockwise from north. 73° is counter-clockwise from north.

The clockwise angle on the other side is needed. Use the angle fact that angles in a full turn add to 360°.

To work the bearing, subtract 73° from 360°.

360° – 73° = 287° and so, the bearing of B from A is 287°.

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Answer:

Below

Step-by-step explanation:

Error :    (8.25 - 7.5)

% error :    ( 8.25-7.5) / 8.25    * 100%  = 9.1 %

Jim's percent error is 9.09%.

What is the percentage error?

The percentage error is given as the difference between the actual value and the estimated value divided by the actual value, multiplied by 100%.

The percentage error is a relative value that compares the actual value and the estimated value to explain any deviations.

Estimated width of wall = 7.5 feet

The actual width of the wall = 8.25 feet

The difference in estimate = (8.25 - 7.5) = 0.75 feet

Percentage Error = (0.75/8.25 x 100) = 9.09%

Thus, we can conclude that Jim made a percentage error of 9.09%  in his estimate of the width of the wall.

Answer:

1)  23x + 6y

2) 8x  - 4y

3)  4x - x² + 7

Step-by-step explanation:

Simplify:

Multiply each term of (3x + 6y) by 5 and multiply each term of (2x - 6y) by 4.

5(3x + 6y) + 4 (2x - 6y)  = 5*3x + 5*6y + 4*2x - 4*6y

                                       = 15x + 30y + 8x - 24y

Now, combine like terms. Like terms have same variable with same power.

                                         = 15x + 8x + 30y - 24y

                                           = 23x + 6y

2) 3(4x - 2y) - 2*(2x -y) = 3*4x + 3*(-2y) + (-2)* 2x + (-2)*(-y)

                                     = 12x - 6y - 4x + 2y

                                     = 12x - 4x - 6y + 2y

                                    =  8x - 4y

3) f(x) = 3x + 2

To find f(x +1),  replace x with (x +1)

f(x +1) = 3*(x + 1) + 2

          = 3*x + 3*1 + 2

          = 3x + 3 + 2

          =3x + 5

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

        = 6x + 2

f(2x) + h(x) = 6x + 2 - x² - 2x + 5

                 = 6x - 2x - x² +2 + 5

                 = 4x - x² + 7

The student is partially correct as -5 is less than -4 but ln |-5| is not less than ln |-4|.

What is reasoning?

We can ascertain the veracity of the supplied propositions using mathematical reasoning, often known as the mathematical reasoning principle.

A student said that -5 is less than -4.

This statement is correct and the reasoning is -

According to the number line, 0 is the midpoint.

From 0 to the right side of infinity the digits increases.

So, 1 is bigger than 0, 2 is bigger than 1, 3 is bigger than 2, and so on.

Similarly, from 0 to the left side of negative infinity the digits decreases.

So, -1 is smaller than 0, -2 is smaller than -1, -3 is smaller than -2, and so on.

The student also said that ln |-5| is less than ln |-4|.

This statement is false and the reasoning is -

First simplify ln |-5| and ln |-4| -

ln |-5| = ln (5)

ln (5) = 1.6094

ln |-4| = ln (4)

ln (4) = ln (2^2)

ln (2^2) = 2 ln (2)

2 ln (2) = 1.3862

Therefore, the student is partially correct.

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In the given equation x = 9 is the value that satisfies the equation.

The square root of a number is a value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3, because [tex]3*3 = 9[/tex]. The symbol for square root is "√" and it can also be represented as "sqrt".

In the given equation [tex]x = 9[/tex] is the value that satisfies the equation.

To find the value of x in the equation [tex]3 \sqrt{x} = 9[/tex], we first need to square both sides of the equation to eliminate the square root.

[tex]3 \sqrt{x} = 9[/tex]

Squaring both sides:

[tex](3 \sqrt{x} )^2 = 9^2[/tex]

[tex]x = 9^2 / 3^2 = 9^2 / 9 = 9[/tex]

Therefore, x = 9 is the value that satisfies the equation.

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The point slope form is not okay to use to find the height of the trees

From the question, we have the following parameters that can be used in our computation:

The point slope form of a linear equation is represented as

y - y₁ = m(x - x₁)

Where

Slope = m

The point slope form does not show the initial value

So, this form is not okay for the required parameters

The slope-intercept form is given as

y = mx + c

Using the given parameters, we have

y = 3/4x + 3

Subtract 3 from both sides

y - 3 = 3/4x

Rewrite as

y - 3 = 3/4(x - 0)

This equation can be rewritten in any of the following forms

Hence, the incorrect equation is y - 15= 3/4(x-15)

We have the slope-intercept form to be

y = 3/4x + 3

Set x = 1 and 2, and then solve for y

So, we have

y = 3/4 * 1 + 3 = 3.75

y = 3/4 * 2 + 3 = 4.5

So, the equivalent equations are

y - 3.75 = 3/4(x - 1) and y - 4.5 = 3/4(x - 2)

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The values of k are 3 and −1.

Note: The equation taken here is 4x^2 −2(k+1)x+(k+1)=0

Given: Equation 4X^2−2(k+1)x+(k+1)=0 has real and equal roots i.e., its discriminant is zero.

⇒b2−4ac=0

[An expression that can be produced from the square of a binomial equation is a perfect square trinomial. A perfect square trinomial is a formula that has the elements ax^2 + bx + c and satisfies the condition b^2 = 4ac. The roots of the quadratic equation ax2 + bx + c = 0 are real and equivalent if the discriminant is equal to zero (b2 - 4ac = 0), a, b, and c are real values, and a0.]

For given equation, a=4,  b=2(k+1),c=(k+1)

(2(k+1))^2 −4.4(k+1)=0

⇒(2k+2)^2−16(k+1)=0

⇒4k2+8k+4−16k−16=0

⇒4k2−8k−12=0

⇒4(k2−2k−3)=0

⇒k2−2k−3=0

⇒k2−3k+k−3=0

⇒k(k−3)+1(k−3)=0

⇒(k−3)(k+1)=0

⇒k−3=0   and   k+1=0

⇒k=3   and  k=−1

So, the values of k are 3 and −1.

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On solving the provided inequality equation we cans ay that therefore, 60x + 45 <250 is the necessary inequality for the given situation.

An inequality in mathematics shows how two values are related in an imbalanced algebraic expression. According to inequality signals, one of the two variables on either side of the inequality may be larger than, greater than or equal to, less than, or less than or equal to another value.

If the daily cost for each crew member is $60, the daily wage for crew members is $60, and the daily cost of operations is $45; the amount paid equals the total of the wages for each crew member plus the cost of operations. In this case, let x indicate the size of the crew.

= 60x + 45

Since the maximum daily payment is $250,

In other words, the total payment cannot be more than $250.

60x + 45 ≤ 250

Therefore , the required inequality for given problem is 60x + 45 ≤ 250.

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The height of the Building is 110.01 feet.

The square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides, according to Pythagoras' Theorem.

Given, Finn leaned a 100-foot ladder against the side of a building. The base of the ladder is 14 feet from the base of the building. The top of the ladder is 11 feet from the top of the building.

For the triangle made by ladder

hypotenuse = 100

base = 14

thus, from the Pythagorean theorem

hypotenuse² = base² + height²

100² = 14² + height²

height² = 10000 - 196

height = √9804

height = 99.01

total height of the wall = height of triangle + remaining height of the wall

Thus the total height of the wall  = 99.01 + 11

the total height of the wall  = 110.01

therefore, the building is 110.01 feet tall.

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Answer:

354acres

Step-by-step explanation:

Total acre = 59000

Percentage of old oak acre trees is 0.6%

Therefore, the acres of old trees are calculated:

59000 * (0.6÷100) = 354acres

50-3x<20

the answer is C. 11

Thus, complete scale is: 1 inch = 57.7 miles

This can be solved by the concept of cross-multiplication method.

A centimeter is smaller than an inch. On the other side of the centimeter ruler, inches are denoted by the large, continuous hash marks that are inscribed above the digits. On a ruler, the inch is the largest unit and is denoted by the longest line. There is a number next to each 1-inch line on the ruler that designates.

Since the international yard was adopted in the 1950s and 1960s, standards for the precise length of an inch have fluctuated, but the inch is now based on the metric system and is defined as precisely 25.4 mm.

Correct order is:

d. 27 / 1557 = 1/d

e. 27 . d = 1 . 1557

a. 27d = 1557

f. 27d / 27 = 1557 / 27

b. d = 57.7

c. scale: 1 inch = 57.7 miles

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The Given quadratic equation has two solutions: 1 and 3/2. A quadratic problem was solved by utilizing the factoring method.

A quadratic equation is defined.

At least one squared term must be present because a quadratic is a second-degree polynomial equation. It is also known as quadratic equations. ax^2 + b*x + c = 0 is the quadratic equation's general form.

where x is the unknown variable and a, b, and c are constant terms.

In this case, I'm solving a quadratic problem by factoring.

The following quadratic equation is

2x^2 - 5x + 3 = 0.

2x^2 - (3+2)x + 3 = 0

2x^2 -3x -2x + 3 = 0.

x(2x-3) -1(2x -3) = 0.

(2x-3)(x-1) = 0.

2x - 3 =0 or x -1 =0

x = 3/2 or x =1

So the solutions of a quadratic equation are 3/2 and 1.

Given Question is incomplete complete question here:

What are the solutions of the quadratic equation 2x^2-5x+3 =  0?

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There are 3 two topping sundaes possible.

It is not crucial to choose the toppings in any particular sequence. For instance, a caramel and strawberry topping is the same as a chocolate and  caramel topping. To answer this question, we thus apply the combinations formula.

Mixtures Formula:

C,n,x  is the amount of various ways there are to combine x items from a set of n components, as determined by the formula below.

Cn,x = n! / x!(n-x)!

sundaes with two toppings are possible

2 of a set of 3 toppings (chocolate, caramel and strawberry). So

C3,2 = 3! / 2! (3 - 2)! = 3.

Three two-topping sundae combinations are conceivable.

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