URGENT I'll give you stars, brainliest answer, or slide into ur dms for this answer pls9^(x2)=y in log form

Answer:

\(\huge\boxed{\bf\:x = 1}\)

Step-by-step explanation:

\(x ^ { 3 } +6x-7=0\)

By using the rational root theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -7 & q divides the leading coefficient, 1. Now, let's list out all the possible candidates for p/q by following this theorem.

\((+/-)7, (+/-)1\)

Now, let's substitute the value of x as these integers. By using the trial & error method, we can see that..

\(x = 1\)

This means that 1 factor of the above equation will be:

\(x = 1\\\Longrightarrow\:x - 1 = 0\)

So, by using the Factor theorem, we know that, x - k will be the factor of the polynomial for each root k. Now, divide x³ + 6x - 7 by x - 1. We'll the value as:

\(\frac{x^{3} + 6x - 7}{x - 1}\\\Longrightarrow \: x^{2}+x+7=0\)

We now have a quadratic equation with us. By using the biquadratic formula:  -b ± √b² - 4ac / 2a, where,

So,

\(x=\frac{-1(+/-)\sqrt{1^{2}-4\times 1\times 7}}{2} \\x=\frac{-1(+/-)\sqrt{-27}}{2}\)

Here, we can see that,

\(x\in \emptyset\)

Then, by listing out the solutions that we found, the value of x will be:

\(\boxed{\bf\:x = 1}\)

\(\rule{150}{2}\)

Answer:(x-1) *(x^2 + x + 7)

Step-by-step explanation:

1. rewrite

2. factor the expression

The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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Answer: 1407

Step-by-step explanation: add them using a calculator...?

Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.

The height of the punt, after x seconds, is given by:

\(f(x) = -0.0152x^2 + 1.25x + 2\)

It is a quadratic equation with coefficients \(a = -0.0152, b = 1.25, c = 2\).

The maximum value is the value of the function at the vertex, hence:

\(f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}\)

Applying the coefficients:

\(f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7\)

The maximum height of the punt is of 27.7 feet.

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Answer:

Step-by-step explanation:

B, Yes and by AA

Answer:

X : ___ 0 ____ 1 _____ 2 _____ 3 _____ 4

P(x): _ 1/16 __ 1/4 ____ 3/8 ____ 1/4 ____ 1/16

Step-by-step explanation:

Given the listed possible occurrence of boys and girls :

B = boys ; G = girls

BBBB, BBBG, BBGB, BGBB, GBBB, BGBG, GBGB, BGGB, GBBG, BBGG, GGBB, BGGG, GBGG, GGBG, GGGB, and GGGG

Let x = distribution of girls

P = required outcome / Total possible outcomes

For :

x = 0 ;(BBBB) = 1

P(x) = 1/16

x = 1 ; (BBBG, BBGB, BGBB, GBBB) = 4

P(x) = 4 / 16 = 1/4

P(x = 2) ; (BGBG, GBGB, BGGB, GBBG, BBGG, GGBB) = 6

P(x) = 6 / 16 = 3/8

P(x = 3) ; (BGGG, GBGG, GGBG, GGGB) = 4

P(x) = 4 / 16 = 1/4

P(x = 4) ; (GGGG) = 1

P(x) = 1 / 16

X : ___ 0 ____ 1 _____ 2 _____ 3 _____ 4

P(x): _ 1/16 __ 1/4 ____ 3/8 ____ 1/4 ____ 1/16

The expression without absolute value bars is 3.84.

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,

|√10 - 7 |

= | 3.16 - 7 |

= | -3.84 |

= 3.84

Thus,

The value of the expression is 3.84.

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a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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Answer:

\(\frac{180}{900} = 0.2\) × \(100 =20\)

Autumn got a 20% reward of the $900 she found.

Explanation:

If y is the short leg of the 30-60-90 triangle, then y*sqrt(3) is the length of the longer leg. The short leg is always opposite the shortest angle.

We're given that 5*sqrt(3) is the longer leg, so

y*sqrt(3) = 5*sqrt(3)

y = 5

After we divide both sides by sqrt(3)

Side note: x = 2y = 2*5 = 10.

\( \LARGE{ \underline{ \pink{ \sf{Required \: answer:}}}}\)

Heya mate!

If you observe the figure, the longest side always resides the opposite place of the right angle. Accordingly the perpendicular is 5√3 units in measure.

With this, the hypotenuse is x and the base is y. We need to find y. By doing some smart work! Let's guess the trigonometric ratio that we give us the relation between y and 5√3 because one of the angle given is 60°

⇛ tan a = Perpendicular / Base

Plugging the values of a, and Perpendicular to find the base of the triangle i.e. y.

⇛ tan 60° = 5√3 / y

⇛ √3 = 5√3 / y

⇛ y = 5√3 / √3

⇛ y = 5 units

Hence, the Correct Option is Option A.

Therefore, the total purchase price is $734.78.

Profit is the financial gain obtained by subtracting the cost (or expenses) of producing and selling goods or services from the revenue generated from their sale. In other words, profit is the amount of money that is left over after all expenses have been paid, including the cost of goods sold, operating expenses, taxes, and any other costs associated with running a business.

Profit can be calculated using the following formula:

Profit = Revenue - Cost

by the question.

To calculate the total purchase price, we need to calculate the tax and add it to the sum of the prices of the diamond necklace and the gold pendant.

The tax on the diamond necklace is:

572.95 * 0.065 = 37.24

The tax on the gold pendant is:

113.76 * 0.065 = 7.40

The total tax is the sum of these two taxes:

37.24 + 7.40 = 44.64

We also need to add the city tax, which is 0.5 percent of the total price:

(572.95 + 113.76) * 0.005 = 3.43

The total purchase price is the sum of the prices of the diamond necklace and the gold pendant, the state tax, and the city tax:

572.95 + 113.76 + 44.64 + 3.43 = 734.78

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Going through the options, we can cross out the wrong options.

Option 1:

Expected values:

These are the values with which we are trying to compare with the observed values from the data.

Hence, the researcher does need to pay attention to this since it is critical to calculating the chi square statistic for the research, which would determine whether or not there's a dependence in the data.

Option 2:

Norminal data:

This is just referring to data that is not ordered and categorical. The question already mentions that the data is categorical, hence, it is not significant.

Option 3:

Measures are independent of each other:

The measures being independent of each other is in fact what the chi-square is used to find.

As such, this cannot be a factor when carrying out the test when it is in fact a possible outcome

Option 4:

Number of groups:

The number of groups under consideration for the test is not a factor to consider, since we

have been told the data is limited and chi-squared is used to find independence or dependence between two groups.

Hence, the final answer is: Expected Values (Option 1)

Answer:

149(13/32)

Step-by-step explanation:

4781/32 and then take the remainder to make it an improper fraction

Max needs to buy two rolls of string, hopefully this helped :)

Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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Answer: Choice B

Each time we're adding 122 to each term to get the next term

This goes on forever because of the three dots, hence the set is infinitely large.

We say that the common difference is 122. Subtracting any two adjacent terms gets us this value. Eg: 354-232 = 122.

Answer:

a) Constant of proportionality = 0.25

b) The constant of proportionality provides the cost of one apple.

c) n = 12

Step-by-step explanation:

It is given that:

c = 0.25n

a) Here,

c = cost of apples

n = number of apples

As the proportion varies directly.

c ∝ n

c = kn

Comparing the equations

k = 0.25

b) The constant of proportionality provides the cost of one apple.

c) Putting c = $3

3 = 0.25n

Dividing both sides by 0.25

n = 12

Thus,

a) Constant of proportionality = 0.25

b) The constant of proportionality provides the cost of one apple.

c) n = 12

The equations are,

–5 + 2y = 5, 5 ×– 2y = -5

Answer: x = 45

Step-by-step explanation:

Given

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

Add 2 on both sides

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

(2/3)x + 6 = (4/5)x

Subtract (2/3)x on both sides

(2/3)x + 6 - (2/3)x = (4/5)x - (2/3)x

6 = (12/15)x - (10/15)x

6 = (2/15)x

Divide 2/15 on both sides

6 / (2/15) = (2/15)x / (2/15)

\(\boxed{x=45}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 45

Step-by-step explanation:

2/3 x + 4 = 4/5x - 2             Add 2 to both sides

2/3 x + 4 + 2 = 4/5x            Combine

2/3x + 6 = 4/5x                   Subtract 2/3 x from both sides.

6 = 4/5x - 2/3 x                  Multiply both sides by 15

6*15 = 4/5 x * 15 - 2/3x * 15

6*15 = 12x - 10x                   Combine the left and right

90 = 2x                               Divide by 2

x = 45

Let's see if it works.

LHS = 2/3 * 45 + 4

LHS = 2*15 + 4

LHS = 30 + 4

LHS = 34

RHS

Right hand side = 4/5 * 45 - 2

RHS = 36 - 2

RHS = 34 which is the same as the LHS

Step-by-step explanation:

The average weight of a male African elephant is 15,000 pounds.

To convert pounds to tons, we divide the weight in pounds by 2,000 (the number of pounds in a ton):

15,000 pounds ÷ 2,000 pounds/ton = 7.5 tons

Therefore, the weight of a male African elephant is approximately 7.5 tons.

So the closest answer to this question is "7 tons".

Answer:

7 tons

Step-by-step explanation:

The average weight of a male African elephant is 15,000 pounds. To convert this weight into tons, we need to divide it by 2,000 (since there are 2,000 pounds in a ton).

So, 15,000 ÷ 2,000 = 7.5 tons.

Therefore, the answer is 7 tons (since there are no fractions of tons in the options given).

Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent  to f(g(10)) is, 37

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

f(x) = x² + 1

g(x) = x – 4

f(g(10)) = ?

f(g(x))  =  (x - 4)² + 1

           =  x² - 8x + 16 +1

           =   x² - 8x + 17

f(g(10)) =  10² - 8×10 + 17

            = 100 - 80 + 17

            = 37

The value of  f(g(10)) is 37

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Answer:

y               x

-2           1/4

-1           1/2

0             1

1               2

2               4

Step-by-step explanation:

its easy algbra

doing it rn to

Given:

v is the given vector.

To find:

Find the direction angle of v.

Formula to find the direction:

From the given vector x and y are:

The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

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