If x²+kx+16/9 is a perfect square. Find the value of k​

The record-holder ate 6.205 kilograms of hot dogs.

We are given that 73/10 hotdogs per minute is the record for the most hot dogs eaten and one hot dog and bun has a mass of 85 grams. Also, one kilogram is equal to 1,000 grams. Solving this problem would involve converting units.

In order to find out how many kilograms of hot dogs the record holder ate, we first need to convert 85 grams to kilograms. Since a kilogram is equal to 1,000 grams, 85 grams = 85 / 1,000 = 0.085 kilograms.

Then, we multiply 0.085 by 73 to get 6.205. We can conclude that the record-holder ate 6.205 kilograms of hot dogs.

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The probability that the number is a multiple of four is 0.25.

we know that if a number is multiple of four then its last 2 digits must be divisible by four.( i.e. ten's and one's places)

We are given only four numbers 1,2,3,4 , which can't be repeated.

So here , in this case , such numbers with last two digits divisible by four are 12,24 and 32 only

Having last two digits ‘12’ ;

the first two digits can be formed using 3 and 4 only . This can be done in (2!) = 2 ways.

Similar case will be happening with 24 and 32 as well.

So the total ways of getting a multiple of four will be = 2 + 2 + 2

                                                                                        = 6 ways

Now total numbers that can be made from given four digits = [tex]P_{4} ^{4}[/tex]

                                                                                                  = 24

So the probability of getting a multiple of four is = 6/ 24

                                                                                 = 0.25

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Answer:

H = 30 ft

Step-by-step explanation:

Since the triangle is 90 degrees and we have to find out how tall the streetlight is we have to subtract 90 and 40 degrees. Which we get 50 degrees, after we subtract 20 from the 50 degrees. So we get 30 ft or 30 degrees.

The equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.

Given:

(1,-5) with slope m = -1

The standard slope intercept form is y = mx + c.

substitute m = -1 and (1,-5)

-5 = -1(1) + c

-5 = -1 + c

c = -4.

y = mx + c

y = -1(x) + (-4)

y = -x - 4.

Therefore the equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.

Therefore equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.

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The scale factor in the simplest form of a fraction of the triangles will be 43/78.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

The triangle on the right is a scaled duplicate of the triangle on the left.

The ratio of the side of a big triangle to the side of a small triangle. Then we have

Scale factor = 43 / 78

The scale factor in the simplest form of a fraction of the triangles will be 43/78.

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Dario cuts the lasagna into 15 equal slices.

Given,

Quantity of Parmesan cheese = 2/3 pounds

Quantity of Ricotta cheese = 1 3/4 = 7/4 pounds

Quantity of Mozzarella cheese = 1 1/3 = 4/3 pounds

The quantity of cheese in each pieces when the lasagna is cut = 1/4 pounds

We have to find the number of slices of cheese.

Here,

Total quantity of cheese;

2/3 + 7/4 + 4/3 = 2 + 7/4 = 15/4 pounds

Number of slices = total cheese / quantity of cheese in pieces

= (15/4) / (1/4) = 15 slices

That is,

Dario cuts the lasagna into 15 equal slices.

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Answer:

Consider the right triangle below: State the Pythagorean Theorem as it relates to the above triangle. List the trig identities as they relate to the triangle above. Now suppose hypotenuse C represents a vector R, while sides B and A represent vector components Rx and Ry respectively. Redraw the triangle with the new labels below. Using Pythagorean Theorem, derive the equation for R.

21 is  missing  length of parallel lines.

What is an example of parallel lines?

Because lines are parallel

so they cut into equal proportion

 then ,         4/10  = x/15

                  4 * 15/10 = x

                     x = 6

length of line  = 15 + 6 = 21

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Answer: Answer B: m angle 5 = 152 because m angle 2 = m angle 5

Step-by-step explanation: im in 8th grade math in 7th grade

The first step Charlie should use to solve the equation will be to open the bracket on the left side of the equation.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

The equation Charlie wants to solve can be calculated as follows:

-1/4(x - 1) =2/3 x +2

The first step would be to open the parenthesis on the left side of the equation as follows:

-1/4(x - 1) =2/3 x +2

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

Let's subtract 1 / 4 from both sides of the equation

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

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

- 1 / 4 x = 2 / 3 x + 7  /4

subtract 2 / 3 x from both sides of the equation.

- 1 / 4 x = 2 / 3 x + 7  /4

- 1 / 4 x - 2 / 3 x = 2 / 3 x - 2 / 3 x + 7  /4

- 11 / 12 x = 7 / 4

cross multiply

-44x = 84

divide both sides by - 44

x = 84 / -44

x = - 21 / 11

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The required value of g(-4) = 1 in the given function is represented in the shown graph.

A graph can be defined as a visual representation or a diagram that represents data or values.

The function is given in the represented graph of g(x)

We have to determine the value of g(-4) of the given function in the graph

According to the given graph, we can see that the value of the domain of the given function g(x) when the value of variable x is -4 when the value of the variable y is 1. this means the value of g(-4) = 1.

Therefore, the required value of g(-4) = 1 in the given function is represented in the shown graph.

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Answer:

2+4K

Step-by-step explanation:

distribute the 2

2(1+2k)

2(1)+2(2k)

2+4K

Hopes this helps please mark brainliest

The two values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

The given expression is ,

2x²– 11x + 15 = 0

Solve the equation and find roots

2x² - 6x - 5x + 15 = 0

Take common elements out

2x(x - 3) - 5(x - 3) = 0

we get the brackets same that means we're on right way,

(2x - 5) (x - 3) = 0

split the values into two and find values,

2x - 5 = 0            and        x - 3 = 0

2x = 5                               x = 3

x = 5 / 2

Hence, the  values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)

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Answer: A

Step-by-step explanation:

Answer:

x=-5/2

Step-by-step explanation:

x=-5/2

Answer:

12x+4=20x+24

Add negative 4 to both sides

6x+9=4x-3

Add -9 to both sides

-5x/4=4 Multiply both sides by 04

-4(5x-7)=-18 Distribute -4 on the left side

Step-by-step explanation:

12x+4=20x+24

Add negative 4 to both sides

6x+9=4x-3

Add -9 to both sides

-5x/4=4 Multiply both sides by 04

-4(5x-7)=-18 Distribute -4 on the left side

Answer:

f = 3cm g = 16cm

Step-by-step explanation:

Area of ABCE = 60cm²

Area of ABCD = 48cm²

60 - 48 = 12

Area of ADE = 12cm²

A to D = 3cm

f = 3cm

g = 16cm

Step-by-step explanation:

3 units right = x + 3

12 units down = y - 12

E = (-5, 4) -> E' (-2, -8)

F = (-5, 9) -> F' (-2, -3)

G = (1, 9) -> G' (4, -3)

H = (1, 4) -> G' (4, -8)

Step-by-step explanation:

you made a typo.

since we are using only the digits 1, 3, 6 and 9, the list has to start

1, 3, 6, 9, 11, 13, 16, 19, 31, 33

it has to continue with

36, 39

we can skip the 40s and 50s and have then

61, 63, 66, 69

we can skip the 70s and 80s and have then

91, 93, 96, 99

that means we have 20 (5×4) numbers for the first 100.

we would have the corresponding 20 numbers in the 100s. like 101, 103, ...

but we have to skip 101, 103, 106, 109, because they contain 0.

so, it is only 16 numbers in the 100s.

there are none in the 200s.

then again 16 in the 300s. and the 600s and 900s.

so, we have

20 + 4×16 = 84 numbers in the first 1000.

then we have

16 in each the 1100s, the 1300s, the 1600s and 1900s.

and we have none in the 2000s.

so, in total we have

84 + 4×16 = 84 + 64 = 148 numbers to write.

The length AC of the triangle will be 10.6 units

The trigonometric functions (also called circular functions, angle functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given is a right angled ΔABC as shown in the figure.

We have the image as shown in the figure. In the right angled triangle -

Sin(62°) = CA/CB

Sin(62°) = CA/12

CA = 12 x Sin(62°)

CA = 12 x 0.88

CA = 10.6

Therefore, the length AC of the triangle will be 10.6 units

Therefore, by following the steps above, we can plot the graph of →

y = 5 cos(2x + π/3) - 1

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[Refer to image attached for full question]

The fractions of sixth graders that reached their goal after each day are given as follows:

A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:

Fraction = x/y.

In which the technical terms related to x and y are as follows:

The fraction can be represented by bars, in which:

As shown by the image at the end of the answer, the fractions are given as follows:

The image is given at the end of the answer.

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The 95% confidence interval for the population proportion of members who vote yes is (0.782, 0.818).

A choice that is made at random (purely by chance, with no predictability). They tapes of samples are:

Convenient: Sample taken from a pool that is easily accessible.

Random: Put all the possibilities into a hat, then pull some of them at random. Every kth element is taken in a systematic manner. If you wanted to survey anything on the street, for instance, you may interview every fifth person.

Cluster: The population is divided into groupings, or clusters, and every component of each cluster is surveyed.

Stratified: Additionally stratifies the people into several groupings. But only a small portion of the group is questioned after that.

Now, finding the sample proportion,

[tex]p=\frac{x}{n} \\\\=\frac{1600}{2000}\\\\ =0.8[/tex]

The confidence level is given as,

[tex]C=p\pm[z(\frac{\alpha}{2})\times\sqrt{\frac{p(1-p)}{n} } ][/tex]

The value of [tex]z(\frac{\alpha}{2})[/tex] is 1.96

Putting the values, we get

[tex]C=0.8\pm[1.96\times\sqrt{\frac{0.8(1-0.8)}{2000} } ]\\\\C=0.8\pm[1.96\times\sqrt{\frac{0.8(0.2)}{2000} } ]\\\\C=0.8\pm0.018\\\\C=(0.782,0.818)[/tex]

Therefore, the 95% confidence interval is (0.782,0.818).

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The given question is incomplete. Here is the complete question.

a random sample of 2,000 members of a union reveals that 1,600 would vote yes on a merger proposal. what is the 95% confidence interval for the population proportion of members who would vote yes?

a) 0.782 to 0.818

b) 0.754 to 0.799

c) 0.690 to 0.713

d) 0.799 to 0.951

The slopes of the given lines are:

1. 2/5.

2. -1.

If a line passes through points on a graph, [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the formula that can be employed to find the slope of a line is given as:

Slope (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].

1. Using two points on the line, (3, 1) and (-2, -1):

Slope of the line = m = (-1 - 1)/(-2 - 3)

Slope of the line (m) = -2/-5

Slope of the line (m) = 2/5

The slope of the graph is 2/5.

2. Using two points on the line, (-3, 2) and (2, -3):

Slope of the line = m = (-3 - 2)/(2 -(-3))

Slope of the line (m) = -5/5

Slope of the line (m) = -1

The slope of the graph is -1.

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The number of shares he buy is $615.

Given that Barney just bought stock in Purple Dinosaur Industries and he paid a total of $7,380 and the price of the stock is $12 for one share.

We want to find the number of shares Barney buys.

The total amount barney should pay is $7380.

The price of the stock for one share is $12.

The total number of shares barney buy is 7380/12=615.

Hence, the number of shares barney should buy when he paid a total $7380 and the price of stock for one share is $12 is $615.

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The population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.

All these elements are taken into account when formulating the population growth formula.

r = [(b + i) - (d + e)]/1000

Put the values in the formula.

r =  [(2,000 + 100) - (500 + 200)]/1000

r = 2100 - 700/ 1000

r = 1.4

Thus, the population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.

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