find the distance between points (2, 9) and (5, 4) to the nearest tenth​

By applying Pythagoras' theorem, the length of x is equal to 10 units.

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

Based on the information provided about the side lengths of this right-angled triangle, we have the following equation:

x² = y² + z²

x² = 8² + 6²

x² = 64 + 36

x = √100

x = 10 units.

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Answer:

\(5. \: y = - 2x - 1 \\ 6. \: y - 4 = 3(x + 2) \\ 7. \: the \: cost \: to \: rent \: the \: game \: center\)

b. and d.

Step-by-step explanation:

the sentence is true

Answer:

c. \(10\frac{17}{18}\)

Step-by-step explanation:

\(-4\frac{5}{6} + 15\frac{7}{9}\)

Change to improper fractions.

\(\\-4\frac{5}{6} = -\frac{29}{6} \\\)

Multiply the whole number by the denominator and add that to the numerator.

\(15\frac{7}{9} = \frac{142}{9}\)

Multiply the whole number by the denominator and add that to the numerator.

\(-\frac{29}{6} + \frac{142}{9}\)

\(6: 6, 12, 18\\9: 9, 18\)

Find a common denominator.

\(-\frac{29}{6} * 3 = -\frac{87}{18} \\\\\frac{142}{9} * 2 = \frac{284}{18} \\\\-\frac{87}{18} + \frac{284}{18}\)

\(-\frac{87}{18} + \frac{284}{18} = \frac{197}{18}\)

Add

\(10\frac{17}{18}\)

Simplify

I hope this helps! May I please have brainliest? :)

Given a right-tailed hypothesis test where η = 78,

μ0 = −44, σ = 6.2, the observed level of significance, ρ is to be determined.

The test statistic can be calculated as;\(z = \frac{\overline{X} - \mu}{\sigma/\sqrt{n}}\)

Where;\(\overline{X}\) is the sample mean, \(\mu\) is the population mean, \(\sigma\) is the population standard deviation

and \(n\) is the sample size

.For a right-tailed test, the null hypothesis can be given as;\(H_0: \mu = \mu_0 = -44\)The alternative hypothesis can be given as;\(H_1: \mu > \mu_0 = -44\)Substituting the given values;\(z = \frac{78 - (-44)}{6.2/\sqrt{n}}\)\(z = \frac{122}{6.2/\sqrt{n}}\)

For the level of significance, ρ, the P-value can be calculated as;\(P = P(Z > z) = P(Z > \frac{122}{6.2/\sqrt{n}})\)At α = 0.05, the critical value, z, can be calculated as;\(z = Z_{\alpha} = 1.645\)

Solving for n;\(1.645 = \frac{122}{6.2/\sqrt{n}}\)\(\sqrt{n} = \frac{122}{1.645(6.2)}\)\(\sqrt{n} \approx 13\)\(n = 13^2\)\(n = 169\)

Using the calculator, the P-value can be calculated as;\(P = P(Z > \frac{122}{6.2/\sqrt{n}}) \approx 0.0475\)

Therefore, the observed level of significance, ρ is approximately 0.0475.

Ans- 0.0475

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Answer:

19+4i

Step-by-step explanation:

Multiply using the FOIL method, then combine the real and imaginary parts of the expression.

FOIL

A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.

Result of multiplication of complex numbers will be 19 + 4i

Given,

(3 + 2i)(5 – 2i)

Here,

Complex numbers standard form : x ± iy

Here,

x = real part

y = complex part.

i = iota = \(\sqrt{-1}\)

So,

Multiplication :  (3 + 2i)(5 – 2i)

⇒15 -6i + 10i -4i²

Here,

i = √-1

i² = -1

So,

15 -6i + 10i -4i²

15 -6i + 10i - 4(-1)

⇒19 + 4i

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The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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If the selling price is $90 and the rate of sales tax is 3%, then the total price is $92.7

The selling price = $90

The rate of sales tax = 3%

The amount of sale tax = The selling price × The rate of sales tax

Substitute the values in the equation

The amount of sale tax = 90 × (3/100)

= 90 × 0.03

= $2.7

The total price = The selling price + The amount of sale tax

Substitute the values in the equation

The selling price  = 90 + 2.7

= $92.7

Hence, if the selling price is $90 and the rate of sales tax is 3%, then the total price is $92.7

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Answer:

\( \frac{7}{4} \pi\)

or

\( \frac{3}{4} \pi\)

Step-by-step explanation:

See attached. I know (very haphazard). But the basic method is to inverse the trig function. This gives you the position of the terminal angle. -45 degrees means that you turned 45 degrees clockwise and are in quadrant 4. This corresponds to an angle of rotation of 315 degrees counter clockwise which is what we are looking for since the specified domain is betwern 0 and 360 degrees or 0 and 2 pi.

The next thing to remember is that Tan is also negative in Quadrant 2 (using the ASTC rule). This corresponds to an angle of rotation of 180 - 45 = 135 degrees.

Hope that helps.

Answer:

OMG I NEED HELP WITH THIS TOO!!!

Step-by-step explanation:

Answer:

0.16666...

6/36

2/12

3/18

4/24

5/30

There's a lot of things.

Answer:

Step-by-step explanation:

Simplify the numerator:

Simplify the denominator:

Simplify the fraction:

The simple exponential smoothing model can be best described as (B) "an expression combining the most recent forecast and actual data value". B is the correct answer.

Simple exponential smoothing is a time series forecasting technique that creates predictions using a weighted average of previous observations. As the observations get older, the weights decrease exponentially. The forecast for the next period is created by fusing the most recent forecast with the most recent actual data value using the smoothing parameter alpha. This can be mathematically stated as:

F_t+1 = αY_t + (1-α)F_t

where F_t is the forecast for period t, Y_t is the actual value for period t, α is the smoothing parameter, and F_t+1 is the forecast for period t+1.

Option B is the correct answer.

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Answer:

98

Step-by-step explanation:

option d..............

Answer:

It would be $340 (with rental cost)

Without the rental cost it would be $250

Step-by-step explanation:

You have to multiply $0.50 with 500 since you drove 500 kilometers. That gives you $250. When you add the $90 to rent, you get $340.

Equation: 90 + .05k

k= kilometers

Answer:

-8

Step-by-step explanation:

(2x+8)-(2x+16)

Distribute the minus sign

(2x+8)-2x-16

Combine like terms

2x-2x  +8-16

0x -8

-8

Answer:

-8

Step-by-step explanation:

Answer:

The given points are

\((-13,3)\\(0,0)\\(-2,-7)\)

The setting would have a interval or 2 units above and below the minimum and maximum of each coordinate.

The given maxium horizontal coordinate is 0.

The given minimum horizontal coordinate is -13.

The given maximum vertical coordinate is 3.

The given minimum vertical coordinate is -7.

Now, we extend each maximum and minimum value by 2 units to create the setting.

So, the setting is

\(x_{min}=-15\\x_{max}=2\\ y_{min}=-9\\y_{max}=5\)

With a scale of 2 units.

The producer of chocolate chip cookies can use these values to understand the chocolate chip per cookie distribution, as it indicates the percentage of cookies with fewer or more chocolate chips. They can adjust the chocolate chips amount per cookie by utilizing these values to satisfy customer needs or save costs.

Given, the mean of chocolate chips per cookie, µ = 24.5, standard deviation, σ = 2.2 Chocolate chip cookies are approximately normally distributed. Using the standard normal distribution, we can find the P-value, which represents the area under the standard normal curve to the left of the z-score.

To find the P10; Let z be the corresponding z-score such that P(Z < z) = 0.10 By looking in the Standard Normal Distribution Table, we find that the z-score is -1.28.Z = (X - µ) / σ = -1.28So, X = µ + z σ = 24.5 + (-1.28) × 2.2 = 21.964 Nearly 10% of the cookies have fewer than 21.964 chocolate chips in each cookie. To find the P90; Let z be the corresponding z-score such that P(Z < z) = 0.90 By looking in the Standard Normal Distribution Table, we find that the z-score is 1.28.Z = (X - µ) / σ = 1.28So, X = µ + z σ = 24.5 + (1.28) × 2.2 = 27.036

Nearly 90% of the cookies have fewer than 27.036 chocolate chips in each cookie.

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Given that chocolate chip cookies have a distribution that is approximately normal with a mean of 24.5 chocolate chips per cookie and a standard deviation of 2.2 chocolate chips per cookie. P10 = 21.4 (approx.), P90 = 27.6 (approx.). The producer of the chocolate chip cookies can use these values to get an idea of the minimum and maximum number of chocolate chips that are expected to be in a cookie.

Explanation: Given that μ = 24.5 and σ = 2.2 Chocolate chip cookies have a distribution that is approximately normal.

For P10, we need to find the value of X such that 10% of the area under the curve is to the left of X.

So we use the z-score formula, where z = (X - μ)/σ to find the corresponding z-score for a cumulative area of 0.1 in the z-table.

z = -1.28

So we can write:

-1.28 = (X - 24.5) / 2.2

X = 21.4

For P90, we need to find the value of X such that 90% of the area under the curve is to the left of X.

So we use the z-score formula, where z = (X - μ)/σ to find the corresponding z-score for a cumulative area of 0.9 in the z-table.

z = 1.28

So we can write:

1.28 = (X - 24.5) / 2.2

X = 27.

To find how might those values be helpful to the producer of the chocolate chip cookies.

The producer of the chocolate chip cookies can use these values to get an idea of the minimum and maximum number of chocolate chips that are expected to be in a cookie.

They can also use these values to make sure that the cookies they produce meet the quality standards that they have set.

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take the natural logarithm of both sides:

Divide both sides by ln(12):

Answer:   d≤4

Step-by-step explanation:

View image attached

28+19x=-8+15x​

Move the variable terms ( the one with "x" ) to the left side of the equation.

19x-15x = -8-28

4 x = -36

Divide both sides by 4:

4x/4 = -36/4

x= -9

Answer:

m = 3

n = 14

p = 2

Step-by-step explanation:

7/x-3/2=(n-mx)/px

(7*2-3*x/2)/2x=(n-mx)/px

=>(14-3x)/2x = (n-mx)/px

now we will  compare

LHS and RHS with terms containing X and terms not containing x

so

14 = n

-3x = -mx

m = 3

2x = px

p = 2

Thus,

values for m, n, and p

are 3,14 and 2 respectively.

Answer:

Step-by-step explanation:

a) Since these are production vehicles, we don't expect their top speed to be more than about 70 m/s, so the distance functions probably lose their validity after t = 25. Of course, t < 0 has no meaning in this case, so the suitable domain is about ...

  0 ≤ t ≤ 25

Note that the domain for the second car would be 3 ≤ t ≤ 25.

__

b) The graph of this system shows the cars will both have driven the same distance after 16.348 seconds.

__

c) At that time, the cars will have driven 310.0 meters.

_____

Non-graphical solution

If you like, you can solve the equation for t:

  d1 = d2

  1.16t^2 = 1.74(t -3)^2

  0 = 0.58t^2 -10.44t +15.66

  t = (10.44 +√(10.44^2 -4(0.58)(15.66)))/(2(0.58)) = (10.44+8.524)/1.16

  t = 16.348 . . . . time in seconds the cars are at the same distance

That distance is found using either equation for distance:

  1.16t^2 = 1.16(16.348^2) = 310.036 . . . meters

Answer: Problem 3:

The triangles are not similar. They have different angles.

Problem 4:

The triangles are similar by SSS~. A valid similarity statement is:

Triangle ABC ~ Triangle DEF.

Step-by-step explanation:

The value of z is 20 in.

What is triangle?

A polygon that has three sides and three angles is called triangle.

In triangle QWX, we have WX || RS, so by the intercept theorem, we have:

QW/WX = QR/RS

Substituting the given values, we get:

z/(3y) = 20/(20 + y)

Cross-multiplying, we get:

20z + 3y² = 60y

We also know that:

QW + WX = QX

Substituting the given values, we get:

z + 3y = 3y

Simplifying, we get:

z = 0

Substituting this value of z into the equation we derived earlier, we get:

20z + 3y² = 60y

0 + 3y² = 60y

Dividing both sides by 3y, we get:

y = 20

Therefore, the value of z is:

z = QW = QX - WX = 3y - 2y = y = 20

So, z = 20

Therefore required value of z is 20 in.

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10% of individuals from a cross between a heterozygous tall individual and a homozygous recessive individual will be tall.

The two alleles present at a gene locus segregate from one another during gamete production, according to Mendel's first law of segregation, and each gamete has a 50% chance of harboring any one of the two alleles.

In meiotic drive genes, the alleles can become absorbed into considerably more than 50% of the gametes if they are present in a heterozygous state, which is against the law of segregation.

Here,

90% of the gametes from a heterozygous individual with tall and short alleles contain short alleles.

If tall dominates short, then 10% of individuals from a cross between a heterozygous tall individual and a homozygous recessive individual will be tall.

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The Laplace transform of f(t) = 0 is: L{f(t)} = 0

The Laplace transform is a mathematical technique that is used to convert a function of time into a function of a complex variable, s, which represents the frequency domain.

The Laplace transform is particularly useful for solving linear differential equations with constant coefficients, as it allows us to convert the differential equation into an algebraic equation in the s-domain.

The Laplace transform of the function f(t) = 0 is given by:

L{f(t)} = ∫[0, ∞] e^(-st) * f(t) dt

Since f(t) = 0 for all t, the integral becomes:

L{f(t)} = ∫[0, ∞] e^(-st) * 0 dt

Since the integrand is zero, the integral evaluates to zero as well. Therefore, the Laplace transform of f(t) = 0 is:

L{f(t)} = 0

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Using the l'hospital's rules, the limit of lim x → (⁄2) cos(x) 1 − sin(x) does not exist.

To evaluate the limit, we can try to plug in the value of x=π/2 into the expression. However, we get an indeterminate form of the type 0/0. So, we can use the L'Hopital's rule to evaluate the limit.

lim x → (π/2) cos(x) / (1 − sin(x))

Differentiating the numerator and the denominator with respect to x, we get:

lim x → (π/2) -sin(x) / cos(x)

Substituting x = π/2 to the limit function, we get:

lim x → (π/2) -sin(π/2) / cos(π/2) = -1/0 (which is undefined)

So, the limit does not exist.

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Answer:

-2a if you're Simplifying it and 2\5 if you're going for a decimal

Answer:

Easy! Answer my question and I'll answer urs! Mine is simple tho. Go on my account and if you answer it I'll send you my reponse to the question. I've wrriten the steps and taken the picture on a paper so pls hurry.