(a) Write 7.97 x 10 ^-6 as an ordinary number.

The value of the composite function is (hog)(x) = 3x²- 13.

What is a composition function?

Function composition is an operation used in mathematics that takes two functions, f, and g, and creates a function, h = gof, such that h(x) = g. The function g is applied in this operation on the outcome of applying the function f to x.

The functions are g(x)=x²-5 and h(x) = 3x + 2

The composition function (hog)(x) can be written as (hog)(x) =h(g(x))

Putting g(x)=x²-5 in (hog)(x) =h(g(x)):

(hog)(x) =h(x²-5)

Now putting x= (x²-5) in h(x) = 3x + 2:

h(x²-5) = 3(x² - 5) + 2

h(x²-5) = 3x² - 15 + 2

h(x²-5) = 3x² - 13

Therefore (hog)(x) = 3x² - 13.

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Answer: Meal B

Step-by-step explanation:

Let's find Meal A

170 divided by three = 56.7 Calories per serving

Find Meal B

160 divided by 4 =  60 Calories per serving

Meal B has more Calories per serving!

The value of XS = 116, UZ = 43, and VY = 84.

What are perpendicular bisectors?

A line or line segment that divides a given line segment into two equal portions is known as a perpendicular bisector.

Here, we have

Given

The perpendicular bisectors of its sides are TS, US, and VS. They meet at a single point S.

VS 80, YZ=86, and ZS=116 and we have to find XS, UZ, and VY.

TS, US, and VS are perpendicular bisectors

So, XV = VY, YU = UZ, XT = TZ

Then, ΔYST ≅ ΔZST

ΔYSV ≅ ΔXSV

ΔYUS ≅ ΔZUS

So, XS = ZS = 116

UZ = 1/2YZ = 1/2×86 = 43

VY = VX

VX² + VS² = XS²

VX = √XS² -VS²

VX = √116² - 80²

VX = 84

Hence, the value of XS = 116, UZ = 43, and VY = 84.

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Model III represents a function by vertical line test.

What is Vertical line test?

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

The vertical line test concludes that a curve in the plane represents the graph of a function if and only if no vertical line intersects it more than once.

According to the given question:

Graph I has vertical line intersections more than one on many points of the curve. Therefore, Graph I does not represents a function.

Model II has two values for the domain point that is -5 has two images 2 and 10. Hence it does not represents a function.

Graph III has only one intersection by vertical lines on the curve. Therefore, Graph III represents a function.

Graph IV has two intersection points if a vertical line passes through the curve. Hence, Graph IV does not represents a function.

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The total number of 1 x 1 shaded squares that there will be in the first 21 figures is of:

924.

The number of squares for each figure is given as follows:

(4, 8, 12, 16).

As the difference between consecutive terms of the sequence is constant, this sequence is an arithmetic sequence, with first term of 4 and common difference of 4.

The sum of the first n terms of an arithmetic sequence is given as follows:

[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]

The parameters of the equation are given as follows:

Applying the explicit form, the 21st term of the arithmetic sequence in this problem is given as follows:

[tex]a_{21} = 4 + 20 \times 4 = 84[/tex]

Hence the total number of squares in the first 21 figures is obtained as follows:

[tex]S_{21} = 10.5 \times (4 + 84) = 924[/tex]

The figures are given by the image shown at the end of the answer.

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On solving the provided question, we got that - question is based on the solving the fraction, so the correct option is [tex]\frac{y+1}{y-1} \\[/tex]  that is  is  equivalent to the given  complex fraction.

Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the expression 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.

Here the Expression, we have is -

[tex]\frac{ 1 + \frac{1}{y}}{1 - \frac{1}{y} }[/tex]

We must figure out the expression that equals the provided complex fraction.

The answer to the query is

Take the LCM of the numerator and denominator first.

We get,

[tex]\frac{ \frac{y+1}{y}}{\frac{y-1}{y} }[/tex]

[tex]\frac{y+1}{y} X \frac{y}{y-1}[/tex]

[tex]\frac{y+1}{y-1} \\[/tex]

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Solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.

Any quadratic problem can be solved using the quadratic formula.

The equation is first changed to have the form ax²+bx+c=0, where a, b, and c are coefficients.

After that, we enter these coefficients into the following formula:

(-b±√(b²-4ac))/(2a)

Quadratic equations can be solved using one of three main strategies: factoring, the quadratic formula, or completing the square.

So, solving x²+2x+7 using the quadratic formula as follows:

Quadratic formula: (-b±√(b²-4ac))/(2a)

Substitute values and caluclate:

x = (-b±√(b²-4ac))/(2a)

x = (-2±√(2²-4(1)(7))/(2*1)

x = (-2±√4-28)/(2)

x = (-2±√-24)/(2)

Complex roots:
x = (-2±2√6i)/(2)

x = -2/2 ± 2√6i/2

Simplifying fractions:
x = -1 ± √6i

So, we have:
x = -1 ± 2.44949i

Therefore, solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.

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If each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.

What is taxable income?

The taxable income is the difference between a worker's gross income and the total deductions (standard or itemized).

Data and Calculations:

                 Gross Income     Standard       Number of       Taxable

                                            Deduction   Exemptions at     Income

                                                                   $3,650 Each

Delaney          $77,568          $8,350                               $69,218 ($77,568 - $8,350)

Jamie               $71,234         $5,700                               $65,534 ($71,234 - $5,700)

Oliver              $74,872         $8,350                               $66,522 ($74,872 - $8,350)

Thomas          $77,623         $5,700                                $71,923 ($77,623 - $5,700)

Hence, if each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.

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The required value of the function at f(5) = 125, as of the given conditions.

Given that,
f(x) is a polynomial of degree four with a leading coefficient 1 such that f(1) = 1, f(2) = 8 , f(3) = 27, and f(4) = 64, then the value of f(5) is ot be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f(x) = x⁴/x
Put x = 5
f(x) = 5⁴ / 5 = 125

Thus, the required value of the function at f(5) = 125, as of the given conditions.

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Answer:

10, 35, 135, 410, 1235, ...

Step-by-step explanation:

a(1) = 10

a(n) = 3 * a(n-1) + 5

This recursive sequence starts with the initial value of a(1) = 10, and each subsequent term is calculated by applying the formula a(n) = 3 * a(n-1) + 5. The resulting sequence would be:

a(1) = 10

a(2) = 3 * a(1) + 5 = 3 * 10 + 5 = 35

a(3) = 3 * a(2) + 5 = 3 * 35 + 5 = 135

a(4) = 3 * a(3) + 5 = 3 * 135 + 5 = 410

a(5) = 3 * a(4) + 5 = 3 * 410 + 5 = 1235

And so on. This recursive sequence generates the following sequence: 10, 35, 135, 410, 1235, ...

The anticipated value and standard error are 0.75 and 0.0306, respectively.

If n is the sample size and p is the genuine population proportion, then the sampling distribution of a sample proportion is thought to adhere to the normal distribution.

As per the given question;

Let P' represents the sample proportion.

Regarding the sample proportion's sampling distribution:

The anticipated value is calculated using,

μp = P

μp = 0.75

As a result, 0.75 is the expected value.

Now, for the standard deviation-

σp = √P(1 -P)/n

σp = √0.75(1 - 0.75)/200

σp = 0.0306

Because the standard error is specified as; the value is 0.0306.

As a result, again for sampling distribution for sample proportion, the anticipated value and standard error are 0.75 and 0.0306, respectively.

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The complete question is-

A random sample of size n = 200 is taken from a population with population proportion P = 0.75. Calculate the expected value and the standard error for the sampling distribution of the sample proportion.

Perimeter is 30.A triangle's perimeter is measured in the same unit as its side lengths.

Additionally, a triangle's perimeter and side lengths are measured in the same unit.If the lengths of its sides are measured in a different unit, first convert them to that unit.

Perimeter of a triangle = sum of all three sides.

Since it's equilateral, just solve for x with any of the 2 sides being equal

2x + 4 = 3x + 1

Subtract 1 from both sides

2x + 3 = 3x

Subtract 2x from both sides

3 = x

Perimeter is 10 + 10 + 10 = 30

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Answer: 63

Step-by-step explanation:

You can put this solution on YOUR website! Hi there, 2/3 = 42. Multiply 42 by 3 = 126. Divide 126 by 2 = 63. The lady's age. 63yrs old. Proof: 2/3 x 63

Answer:

63

Step-by-step explanation:

42 / 2 = 21

21 * 3 = 63

If 42 is two thirds, then one third is 21 because (2/3) / 2 = 1/3.

If 21 is one third, then the whole is 63 because (1/3) * 3 = 1.

Answer:

12.5%

Hope this helps!

Answer:

The percentage of times the students marked will be 12.5%.

Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

A student was marked tardy five different times in a 40-day period.

Percentage of 5 among 40 →

(5/40) x 100 = 12.5%

The estimated value was 9,000,000,000 strawberries sold this year than last year.

As per the given information, the required solution would be as:

We must calculate the most accurate estimate of the number of strawberries sold this year and the previous year.

Rounding up to the closest full number is the best approximation.

This year, 7,234,267,990 strawberries were purchased.

Last year, 2,000,900,999 strawberries were purchased.

Based on the above value, the estimated number of strawberries sold this year and the previous year is:

= 7,000,000,000 + 2,000,000,000

= 9,000,000,000

Thus, the estimated value was 9,000,000,000 strawberries sold this year than last year.

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The mean , standard deviation, and the variance of each binomial experiment using given probability and sample of restaurant owners surveyed is equal to 54.52 , 1.808, 3.2712 respectively.

As given in the question,

Let success be defined by health department inspection is passed by restaurant

Probability of success rate 'p' = 0.94

Value of ' 1 - p ' = 1 - 0.94

                       = 0.06

Number of owners of restaurant which are surveyed 'n' = 58

For the given binomial experiments calculation of the following distributions are:

Mean 'μ' = np

            = 58 × 0.94

            = 54.52

Standard deviation 'σ' = √ np (1 - p)

      = √ 58 × 0.94 × 0.06

                                  = √3.2712

                                  = 1.808

Variance 'σ²' =  np( 1 - p )

                   = 58 × 0.94 × 0.06

                  = 3.2712

Therefore, the mean , standard deviation , and the variance from the given probability and sample size is equal to 54.52 , 1.808, 3.2712 respectively.

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Answer:

1,029

Step-by-step explanation:

Answer:

Step-by-step explanation:

the power house of the midriccondria examples of solutions of the 9+ 10 so the annswer is 11

If cara wants to build an 80 foot long rectangular sheep pen in back of her barn then the area of the sheep pen will be 1600 square feet.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.

What is the formula for area of rectangles?

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle as Area = length x width

Length of the sheep pen =80 ft

bought fencing = 180 ft

One side of rectangular sheep pen is covered with barn which is equaling the  width

perimeter of rectangular sheep pen = 2(length +width)

length need to covered is 2 Length+ width

180 =2 length+width

180 = 2 x80 +width

180-160= width

20= width

Area of rectangle = 80 x 20

=1600 square feet

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Reason:

It's a quartic because the largest exponent is 4 (so the degree is 4).

It's a trinomial since it has 3 terms.

The x-coordinate of the solution to the system of equations plotted is -2

The x-coordinate of the solution to the system of equations is sought by examining the attached graph

The point where the two lines plotted intersect is the solution. At this point, like any other point in a coordinate system will have x coordinate and y coordinate

The x coordinate is solved by tracing the from the point to the x axis, The value where the imaginary trace line drawn intersects the x coordinate is the solution at the x coordinate

This point has the values of -2 in the x axis

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There should be 27 cameras.

The amount of space filled by a flat (2-D) surface or an object's form is known as its area. Draw a square on a sheet of paper with a pencil. A 2-D figure, that is. The term "Area" refers to the area that a form occupies on paper. Now picture that your square is composed of smaller unit squares.

It is 150 feet by 70 feet.

The size of the store will be 150 x 70  feet, or 10,500 square feet. The security cameras now each have 400 square feet.

The area of the shop / each camera's area will determine how many cameras are needed, which is 10500/400.

which is 27

27 cameras are therefore required.

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The required value of x of a triangle is 27°.

What is a triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given, angle measurements of 2x, 4x+6, and x-15

Based on the definition of a triangle, the sum of all angles will be 180 degrees.

So, 2x + 4x+6 + x-15 = 180°

or, 7x - 9 = 180°

or, 7x = 189°

or, x = 189/7 = 27°

Hence, the required value of x of a triangle is 27°.

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Answer:

Step-by-step explanation:

-0.05

Answer: -1/20, or -0.05

Step-by-step explanation:

rewrite -1 1/4 as -5/4

rewrite 0.75 as 75/100 and simplify = 3/4

rewrite 0.45 as 45/100 and simplify = 9/20

-5/4+3/4 = -2/4 = -1/2

-1/2+9/20 find LCD

LCD = 20

-1/2 * 10/10

-10/20+9/20= -1/20

Answers to both the subparts using mathematical operations are shown:

(A) Rate of the car in miles/min: 0.95 miles/min

(B) Distance traveled in 5 min: 4.8 miles

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation."

The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, we know that the rate of the car is 57 miles/hour.

(A) Car rate in miles/min

We know that 1 hour has 60 minutes. Then,

57/60

0.95 miles/min

(B) Distance traveled in 5 min:

0.95 * 5

4.75

Rounding off: 4.8 miles

Therefore, answers to both the subparts using mathematical operations are shown:

(A) Rate of the car in miles/min: 0.95 miles/min

(B) Distance traveled in 5 min: 4.8 miles

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well, last year it was "x", which oddly enough is the 100%.

now, this year is 224000 tons, and that's an increase of 40%, so that's really the 100% + 40% = 140%, so if 224000 is the 140%, what's "x"?

[tex]\begin{array}{ccll} tons&\%\\ \cline{1-2} x & 100\\ 224000& 140 \end{array} \implies \cfrac{x}{224000}~~=~~\cfrac{100}{140} \implies \cfrac{ x }{ 224000 } ~~=~~ \cfrac{ 5 }{ 7 } \\\\\\ 7x=(5)(224000)\implies x=\cfrac{(5)(224000)}{7}\implies x=160000[/tex]