Help what’s the value of x ?

Answer:

Step-by-step explanation:

[tex]n\sqrt{2}=10[/tex]

Solve for n.

[tex]n\sqrt{2} =10\\\\\frac{n\sqrt{2} }{\sqrt{2} }=\frac{10}{\sqrt{2} }[/tex]

Rationalize the denominator.

[tex]n=\frac{10}{\sqrt{2} }\cdot \frac{\sqrt{2} }{\sqrt{2} }\\\\n=\frac{10\sqrt{2} }{2}[/tex]

Reduce to lowest terms.

[tex]n=\frac{10\sqrt{2} }{2} \div\frac{2}{2}\\\\n=5\sqrt{2}[/tex]

Answer:

d

Step-by-step explanation:

As you can tell by the graphs the relative minimum is -14 since that is where the curve ends and -3 is the maximum due to the top curve being at -3

Answer:

d)  relative minimum = −14, relative maximum = −3

Step-by-step explanation:

The relative minimum and maximum values are the minimum and maximum y-values of the points in the domain of the function.

From inspection of the given graph, the minimum y-value in the interval [1, 5] is -14 and the maximum y-value in the interval [1, 5] is -3.

Therefore:

The first step to calculate the indicated x value using synthetic division is to assemble the synthetic division table, which will be:

The first number on the top line, 1, is the coefficient of the highest degree term in the polynomial. The remaining coefficients are written in order, with 0 placeholders for any missing terms. The divisor, -4, is written to the left of the table.

Therefore, we find ƒ(-4) = -51.

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The equation which represents a proportional relationship from the given set of equations is y = 4x.

What is meant by a proportional relationship?

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. y= k x, where k is the proportionality constant, is the equation that depicts a directly proportional relationship, or a line. y = k(1/x) or xy = k, where k is the proportionality constant, is the equation that depicts an indirectly proportional relationship, or a line. One can argue that two variables are in a proportional relationship if one variable is always equal to a constant multiplied by the other variable.

So according to the above explanation, we can say that the equation y = 4x is an example of a proportional relationship.

This is because the ratio y/x is always a constant 4.

Therefore the equation which represents a proportional relationship is y = 4x.

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The line of reflection that produces X'(2, 4) is,

⇒ y - axis

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;

Triangle XYZ is drawn with vertices X(-2, 4), Y(-9, 3), Z(-10, 7).

Now, We know that;

The rule for a reflection over the y -axis is (x, y) → (- x, y)

Here, The line of reflection is produces X'(2, 4).

Hence, We get;

The rule for line of reflection that produces X'(2, 4) is,

⇒ y - axis

Thus, The line of reflection that produces X'(2, 4) is,

⇒ y - axis

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A. The price of the bond is $556.25.

B. The yield to maturity expected by investors is 20.36%.

Yield to maturity (YTM) is the total rate of return that will have been earned by a bond when it makes all interest payments and repays the original principal.

here, we have,

A. The price of the bond is calculated using the formula:

P = C × (1 − (1 + YTM/2)−2T ) ÷ (YTM/2) + (1 + YTM/2)−2T

Here, C is the coupon payment, YTM is the yield to maturity and T is the time to maturity in years.

Face value = $1,000

YTM = 8.2%

Time to maturity = 7 years

Coupon payment = 8.2% × $1,000 = $82

Substituting these values in the formula, we get:

P = $82 × (1 − (1 + 0.082/2)−14 ) ÷ (0.082/2) + (1 + 0.082/2)−14

P = $82 × (1 − 0.6774) ÷ 0.041 + 0.6774

P = $556.25

B. The yield to maturity expected by investors is calculated using the formula:

YTM = 2 × (C × (1 + YTM/2)−2T + (FV − P) × (1 + YTM/2)−2T ) ÷ P

Here, C is the coupon payment, YTM is the yield to maturity, FV is the face value of the bond and P is the price of the bond.

Expected face value at maturity = 85% × $1,000 = $850

Substituting these values in the formula, we get:

YTM = 2 × ($82 × (1 + YTM/2)−14 + ($850 − $556.25) × (1 + YTM/2)−14 ) ÷ $556.25

YTM = 2 × ($82 × (1 + YTM/2)−14 + ($293.75) × (1 + YTM/2)−14 ) ÷ $556.25

YTM = 2 × ($82 × 0.6774 + ($293.75) × 0.6774) ÷ $556.25

YTM = 2 × ($55.35 + ($198.57) ) ÷ $556.25

YTM = 2 × $253.92 ÷ $556.25

YTM = 0.2036 = 20.36%

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Answer:

1 = 36

2. = 32

3 = 10

4.= 21

5. = 14

6 =7456200

Step-by-step explanation:

Therefore , the solution of the given problem of function comes out to be  height is 64 feet .

What is meant by the word function?

The study of mathematics includes histology, architecture, and both actual and fictitious geographic locations, as well as arithmetic, numerals, and their divisions. A function explains the relationships between different components, each of which has a corresponding result. A function is made up of a variety of components that, when put together, produce specific outputs for each input.

Here,

The highest spot on the ball's trajectory, which is at the vertex of the parabolic path, must be identified in order to calculate the maximum height the ball has ever attained.

The following equation describes the height of the projectile as a function of time:

s = -16t² + 64t

We can apply the following method to determine the parabola's vertex:

t = -b/2a

where b = 64 and a = -16.

By replacing these numbers, we obtain:

t = -64/(2*(-16)) = 2

Thus, after two seconds, the utmost height is reached.

We can enter t = 2 into the calculation to get the height at this point:

s = -16(2)² + 64(2) = 64 feet

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Therefore , the solution of the given problem of trigonometry comes out to be  it is roughly 5193 feet from pier A to the coral reef.

Relationships between mathematics but also cubic splines When the different fields were combined, astrophysics is thought to have been born in the third century BC. With the aid of exact angle mathematical techniques, many metric issues can be resolved or the outcomes of calculating them can be ascertained. The study of the six fundamental trigonometric formulas is known as trigonometry.

Here,

The north-south distance from pier A to the coral reef, x sin(31°37′), is the other side of the triangle (relative to angle ). The east-west path from dock A to the edge of the coral reef, which is equal to x cos(31°37′), forms the opposite side of the triangle. We're looking for x's number.

The Pythagorean theory allows us to write:

=> (x cos(31°37′) + 2599) + (x sin(61°37′)) = (x sin(31°37′))

By condensing and rearrangeing, we obtain:

=> x² - 5198x + 6790401 = 0

We can use the quadratic formula to answer the following quadratic equation:

=> x = (-(-5198) ± √(-5198)^2 - 4(1)(6790401))) / (2(1))

=> x = (5198 + √(26857604)) / 2

=> x = (5198 ± 5188) / 2

=> x = 5193 or x = 5

The negative answer x = 5 does not make logic in this situation because x is a measure of distance. Consequently, it is roughly 5193 feet from pier A to the coral reef.

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Therefοre, the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be Terry can easily take anοther 800mg Tylenοl fοr his headache after abοut 2.4 hοurs have passed.

The curriculum fοr mathematics includes a wide range οf tοpics, such as numbers, numbers, and their cοmpοnents, as well as cοnstructiοn, building, and bοth actual and hypοthetical geοgraphic places. A wοrk discusses the relatiοnships between different variables that all wοrk tοgether tο prοduce the same result. A utility is made up οf a variety οf distinctive cοmpοnents that, when cοmbined, prοduce specific results fοr each input.

Here,

The functiοn can be written as fοllοws:

=> y = 800 * (0.25)ˣ

where y is the quantity οf Tylenοl still in Terry's system in milligrammes and x is the number οf hοurs since he last tοοk the medicatiοn.

When Terry's bοdy's cοncentratiοn οf Tylenοl gοes belοw 100mg, we need tο find οut hοw lοng it will be befοre he can take mοre medicatiοn.

The expοnential decay fοrmula frοm part 1 can be used tο find a sοlutiοn fοr this:

=>  800 * (0.25)ˣ = 100

by 800, divide bοth sides.

=>  (0.25)ˣ = 0.125

Cοnsider the twο sides' lοgarithms:

=>  lοg(0.25) * x = lοg (0.125)

tο find x:

=>  lοg(0.125) / lοg (0.25)

=>  x = 2.4

Terry can easily take anοther 800mg Tylenοl fοr his headache after abοut 2.4 hοurs have passed.

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Answer:

x = 12

Step-by-step explanation:

96 / 24 = 4, 28/ 7 = 4, assuming that it dilated by 4, so use 4 to multiply 25, 4 x 25 = 100 so 6x+28 = 100 then plug it in 6(12) + 28 = 100., 100 = 100

To check use a^2 + b^2 = c^2

28^2 + 96^2 = (6(12)+28)^2

784 + 9216 = (72+28)^2

784 + 9216 = 100^2

784 + 9216 = 10000

10000 = 10000

The slant height [tex]l = 29 \: mm[/tex].

A cone is a three-dimensional geometric shape with a smooth transition from a flat, usually circular base to the apex or vertex, which forms an axis to the base's center.

As per the given data:

Height = 21 mm

Volume = 8792 mm

Radius = 20 mm

For slant height of the one ([tex]l[/tex]):

[tex]l = \sqrt{r^2 + h^2}[/tex] {using Pythagoras theorem}

[tex]l = \sqrt{(20)^2 + (21)^2}[/tex]

[tex]l = \sqrt{(20)^2 + (21)^2}[/tex]

[tex]l = \sqrt{400 + 441}[/tex]

[tex]l = 29 \: mm[/tex]

Hence, the slant height [tex]l = 29 \: mm[/tex].

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Step-by-step explanation:

closest to all points on the graph

If the container is closed rectangular it has six faces - a top, a bottom, and four rectangular sides. If the container has an opening, it has five faces - a top, a bottom, and four rectangular sides.

The number of faces of any geometry can vary depending on its specific shape and design. In geometry, a face is a flat surface that forms part of the boundary of a solid object.

For example, a cube has six faces, a rectangular prism has six faces, and a sphere has no faces (because it is a curved surface with no edges or corners).

The number of faces in a container can vary depending on its shape and whether it has any openings. Here are some common types of containers and the number of faces they have:

Rectangular container: If the container is completely closed, it has six faces - a top, a bottom, and four rectangular sides. If the container has an opening, it has five faces - a top, a bottom, and four rectangular sides.

Circular container: If the container is completely closed, it has two faces - a top and a bottom. If the container has an opening, it has three faces - a top, a bottom, and a curved side.

Cylindrical container: If the container is completely closed, it has three faces - a top, a bottom, and a curved side. If the container has an opening, it has four faces - a top, a bottom, a curved side, and an additional flat side where the opening is located.

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Answer:

Step-by-step explanation:

Answer:

9 54 divided by 9 = 6  72 - 18 = 54

Step-by-step explanation:

The shape that has the same perimeter but a different area than Sheri's design is option D.

What is perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

The figure contains sides with the measurements, 2 units, 4 units, 4 units, 2 units, 2 units, and 2 units.

The perimeter of the figure will be sum of all sides -

Perimeter = 2 + 4 + 4 + 2 + 2 + 2

Perimeter = 16 units

Therefore, the figure has perimeter of 16 units.

The area of the figure can be determined by adding the area of rectangle and square.

Side of the square measures 2 units.

The length of the rectangle is 2 units.

The breadth of the rectangle is 4 units.

So, the equation will be -

Area = Area of rectangle + Area of square

Area  = (l × b) + (side)²

Area  = (2 × 4) + (2)²

Area  = 8 + 4

Area  = 12 units²

Therefore, the figure has area of 12 units².

The diagram in option D contains sides with the measurements, 3 units, 1 unit, 1 unit, 3 units, 4 units, and 4 units.

The perimeter of the figure will be sum of all sides -

Perimeter = 3 + 1 + 1 + 3 + 4 + 4

Perimeter = 16 units

Therefore, the figure has perimeter of 16 units.

The area of the figure can be determined by adding the area of the two rectangles.

The length of the first rectangle is 1 unit.

The breadth of the first rectangle is 3 units.

The length of the second rectangle is 3 units.

The breadth of the second rectangle is 4 units.

So, the equation will be -

Area = Area of rectangle 1 + Area of rectangle 2

Area  = (l × b) + (l × b)

Area  = (1 × 3) + (3 × 4)

Area  = 3 + 12

Area  = 15 units²

Therefore, the figure has area of 12 units².

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The statement missing in the proof is option D. m ∠ ⁢ 3 + m ∠ ⁢ 5 = 180 ∘.

A triangle is classified as a geometric shape with three sides and three angles. It is one of the basic shapes in geometry, and is typically characterized by its three interior angles, which must add up to 180 degrees. The most common types are the equilateral triangle (all sides equal), the isosceles triangle (two sides equal), and the scalene triangle (no equal sides).

A proof involves logical deduction of the statements in order to arrive at a conclusion. In this case, the conclusion is that the angles 3, 5, and 7 are all congruent. To do this, the proof must show that the angles add up to 180 degrees, which is the sum of the angles in a triangle. Option D, m ∠ ⁢ 3 + m ∠ ⁢ 5 = 180 ∘, is the statement that must be included in the proof to show that the angles are congruent. Without this statement, it is impossible to prove that the three angles are congruent. Therefore, Option D is the missing statement in the proof.

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The given expression equivalent to (5−4i)(3−2i)(5−4i)(3−2i) is -231 + 372i.

What is expression ?

In mathematics, an expression is a combination of numbers, variables, and operations that represents a value or a quantity. It can be a simple expression consisting of only one number or variable, or a complex expression consisting of several numbers, variables, and operations.

We can use the distributive property of multiplication to expand the given expression as follows:

(5−4i)(3−2i)(5−4i)(3−2i)

= (5−4i)(5−4i)(3−2i)(3−2i)

= (25 - 40i + 16i²)(9 - 12i + 4i²)

= (25 - 40i - 16)(9 - 12i - 4)

= (-231 + 372i)

Therefore, the given expression equivalent to (5−4i)(3−2i)(5−4i)(3−2i) is -231 + 372i.

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The value οf h is apprοximately 2.83. Sο the answer is (A) 2.

Expοnential expressiοns invοlve a base number raised tο a pοwer οr expοnent. The expοnent indicates hοw many times the base number shοuld be multiplied by itself.

We can simplify the expressiοn [tex]9(2)^{5x+10}[/tex] as follows:

[tex]9(2)^{5x+10} = 9(32)^{x+10}[/tex]

We can then rewrite this expression as [tex]9(h)^{x+2},[/tex] where h is a variable:

[tex]9(h)^{x+2} = 9(32)^{x+10}[/tex]

Comparing the expοnents of h and 32, we can see that h = [tex]2^{(5/2)}[/tex], or h = 2 * sqrt(2) = 2.83 (rounded to twο decimal places).

Hence, the value οf h is approximately 2.83. So the answer is (A) 2.

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Answer:

it 39 ×90 for sure it 3510

The day she will order both kinds of flowers on the same day is 12th day of the year.

LCM is the full form of least common multiple, it stands for the lowest common multiple. The least common multiple of two numbers can be mentioned as the smallest number that is a multiple of both of them.

here, we have,

Given:

Sunflower order = every 6 days

Daisies order = every 4 days

Find the lowest common multiple of 6 days and 4 days

6 days = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

4 days = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60

The lowest common multiple of 6 days and 4 days is 12 days

Therefore, the day she will order both kinds of flowers on the same day is 12th day of the year.

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The surface area of the pyramid, given the dimensions of the pyramid can be found to be 1, 188 m ²

The surface area of a pyramid can be found by the formula :

= Base area of pyramid + 12 x ( Perimeter of the base x Slant height )

The surface area of this pyramid is :

= ( 6 x 6 ) + 12 x ( ( 6 + 6 + 6 + 6 ) x 4 )

= 36 + 12 x ( 24 x 4 )

= 36 + 12 x 96

= 1, 188 m ²

In conclusion, the surface area of the pyramid is 1, 188 m ².

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Answer:

She read 4/5 of a book per month

Step-by-step explanation:

4/5= 4/5per month

Step-by-step explanation:

To find out how many books Tanisha read each month, we can use the formula:

books read per month = total number of books ÷ total number of months

Using the information given in the problem, we know that Tanisha read 4 books in 5 months. So we can plug those values into the formula:

books read per month = 4 ÷ 5

Simplifying the fraction by dividing the numerator and denominator by their greatest common factor, which is 1, we get:

books read per month = 4/5

Therefore, Tanisha read 4/5 of a book per month, or equivalently, 0.8 books per month.

please give me a brainliest.

The statements that are true based on the graph and the context of the problem include the following: B. I and III only.

In Mathematics, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided about the line on the graph, we have the following:

y-intercept of function = (0, 1,200), which represents the initial cost of the bedroom furniture.

Additionally, the function is positive on its entire domain and the domain is x ≥ 0, which represent the number of years after the bedroom furniture was purchased.

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Answer:

Karen got $8.00 per hour for babysitting. Find x, the amount she was paid for 8 hours of babysitting.

Step-by-step explanation:

Answer: [3, 2.5]

Step-by-step explanation: