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(4x+5)2

Expand the polynomial using the FOIL method.

16x^2−40x+25

c(4x - 5)(4x-5)

Answer:

The average temperature of the atmosphere outside the airplane is [tex]206.25\,K[/tex].

Step-by-step explanation:

The average temperature of the atmosphere outside an airplane flying at an altitude of 12600 meters is computed by evaluating the linear function:

[tex]T (12.6\,km) = 288.15 - 6.5\cdot (12.6\,km)[/tex]

[tex]T (12.6\,km) = 206.25\,K[/tex]

The average temperature of the atmosphere outside the airplane is [tex]206.25\,K[/tex].

Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border

Step-by-step explanation:c=2pie•r^2

Answer:

D.

Step-by-step explanation:

Angle-Angle-Side Postulate since two angles and one side is congruent to eachother.

Answer:

D. Angle-Angle-Side.

Step-by-step explanation:

The 2 sets of triangles have 2 angles and 1 side congruent so the reason is AAS.

Parallelogram area is base times height.  Base of 14, height of 10,

Answer: A = (14 ft)(10 ft)    second choice

Answer:

choice B

Step-by-step explanation:

Answer:

b. x = -3

Step-by-step explanation:

0 = x^2 + 6x + 9

Factor

0 = (x+3) (x+3)

Using the zero product property

x+3 = 0  x+3 =0

x = -3

Answer:

-40/41

Step-by-step explanation:

Since we know 'cos' involves the Adjacent and Hypoteneus sides, we will need to solve for the 'Adjacent' side of the triangle using the Hypoteneus Theorem.

41² = 9² + a²

a = 40.

However, this is in quadrant II, so when finding the 'cos' value, this side is -40.

Cosine is A/H, giving is:

cos(01) = -40/41

Answer:

[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]

Step-by-step explanation:

The coordinate has the following polar form:

[tex]\vec r = (1, 0^{\circ})[/tex]

The image of the coordinate rotated counterclockwise 60° is:

[tex]\vec s = (1, 60^{\circ})[/tex]

Its equivalent form in rectangular coordinates is:

[tex]\vec s = (1\cdot \cos 60^{\circ}, 1 \cdot \sin 60^{\circ})[/tex]

[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]

Answer:

10.83

Step-by-step explanation:

The length of AB to 3 decimal places is 10.83 cm

The given figure is a right triangle

From the triangle, we are given the following parameters

AC = 18cm

m<C = 38 degrees

we need to get the length of AB

Using the SOH CAH TOA identity

[tex]sin \theta = \frac{opposite}{hypotenuse} \\sin 37 = \frac{AB}{18}\\AB = 18 sin37\\AB =18(0.6018)\\AB =10.832cm[/tex]

Hence the length of AB to 3 decimal places is 10.83 cm

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Answer:

12 is the best estimate

Step-by-step explanation:

A fraction is the numerator divided by the denominator best describes a fraction.

Given,

- A fraction is the denominator divided by the numerator.

- A fraction is the numerator divided by the denominator.

- A fraction is the numerator multiplied by the denominator.

- A fraction is the denominator multiplied by the numerator.

We need to find which option best describes a fraction.

A fraction has two parts: Numerator and Denominator.

It is in the form of Numerator / Denominator.

We have,

- A fraction is the denominator divided by the numerator.

It is written as denominator / Numerator.

- A fraction is the numerator divided by the denominator.

It is written as Numerator / Denominator

- A fraction is the numerator multiplied by the denominator.

It is written as Numerator x Denominator.

- A fraction is the denominator multiplied by the numerator.

It can be written as Denominator x Numerator.

We see that the option "a fraction is a numerator divided by the denominator" is the correct answer.

Thus A fraction is the numerator divided by the denominator best describes a fraction.

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Answer:

160 degrees

Step-by-step explanation:

Answer:I think it is D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

You have to calculate the linear correlation coefficient (r) between the variables

X₁: temperature

X₂: Number of ice cream cones sold per hour.

The formula to calculate the coefficient of linear correlation between the two variables is the following:

[tex]r= \frac{sumX_1X_2-\frac{(sumX_1)(sumX_2)}{n} }{\sqrt{[sumX_1^2-\frac{(sumX_1)^2}{n} ][sumX_2^2\frac{(sumX_2)^2}{n} ]} }[/tex]

∑X₁= 765; ∑X₁²= 66525 ∑X₂= 134 ∑X₂²= 2228 ∑X₁X₂= 11965 n=9

[tex]r= \frac{11965-\frac{765*134}{9} }{\sqrt{[66525-\frac{(765)^2}{9} ][2228-\frac{(134)^2}{9} ]} }[/tex]

r= 0.97

To test if there is a positive linear association between both variables the statistical hypotheses are:

H₀: ρ ≤ 0

H₁: ρ > 0

critical value 0.666

r= 0.97

The decision is to reject the null hypothesis, there is a positive linear correlation between the temperature and the number of ice cream cones sold per hour.

The regression line is

^Y= a + bX

where

a: represents the estimation of the y-intercept

b: represents the estimation of the slope

[tex]b= \frac{sumXY-\frac{sumXsumY}{n} }{sumX^2-\frac{(sumX)^2}{n} }[/tex]

b= 0.38

a= Y[bar]-bX[bar]

a= -17.69

The estimated regression line for the number of ice cream cones and the temperature is ^Y= -17.69 + 0.38Xi

To estimate the number of ice cream cones sold when the temperature is 80º you have to replace the value of X in the estimated regression line:

^Y= -17.69 + 0.38*80= 12.71

It is expected that they will sell 12.71 ≅ 13 ice cream cones when the temperature is 80º

You can use the estimation of the regression line to predict values within the range of definition of the independent variable, in this case from 65º to 105º of temperature, because it is within those values that you can be sure they have a linear association. Below or above you are not certain that their association is linear, it may be, for example exponential, or there may be no association between them.

Example: If the temperature is comfortable or cold, it is more likely that people won't buy ice creams, so for those values it will be no linear association  between them.

I hope this helps!

Answer:

  9√15·cis(19π/24)

Step-by-step explanation:

The magnitudes multiply and the angles add:

  = ((3√3)(3√5))·cis(π/8 +2π/3)

  = 9√15·cis(π(1/8 +2/3)) = 9√15·cis(π(3/24 +16/24))

  = 9√15·cis(19π/24)

Answer:

B

Step-by-step explanation:

If we dilate point P with point P as center, it would become a line parallel to line m

I think it is 123 meters Answer:

Step-by-step explanation:

answer is b > 5

Step-by-step explanation:

Answer:

(32, 42)

Step-by-step explanation:

Answer:

(32,42)

Step-by-step explanation:

Answer:

2890 sq. meters

Step-by-step explanation:

The area of the whole garden is 85 x 50 = 4250 sq. meters. Since the flowers take up 32%, that means the grass must take up 100-32, or 68% of the garden. 68% of 4250 is 2890 sq. meters.

Hope this helped! :)

Answer:

The Area of the Garden that is Grass: 2890 square meters

Step-by-step explanation:

Let us plan out the problem before us. We could first calculate the area of the garden thorugh multiplication it's length by width. After that, compute the area occupied by flowers through 32% of the area of the garden. That would mean the area of the garden that is grass is the area of the garden - the area of the garden that is flowers.

1. Area of Garden = 85 * 50 = 4250 square meters

2. Area of Flowers in the Garden = 32/100 * 4250 = 136000/100 = 1360 square meters

3. Area of Grass in the Garden = 4250 - 1360 = 2890 square meters

The Area of the Garden that is Grass: 2890 square meters

Answer:

Hope this helps pls mark brainliest

Answer:

  [tex]a^5=3[/tex]

Step-by-step explanation:

When it comes to exponential expressions and logarithms, the following relationship applies:

  [tex]\log_b{(x)}=a\ \leftrightarrow\ b^a=x[/tex]

Here, it means ...

  [tex]\boxed{a^5=3}[/tex]

Answer:

[tex] \huge \purple { \boxed{{a}^{5} = 3}}[/tex]

Step-by-step explanation:

[tex] log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}[/tex]

Answer:

  (f(x) -f(a))/(x -a) = x +a +1

Step-by-step explanation:

(f(x) -f(a))/(x -a) = ((x^2 +x +5) -(a^2 +a +5))/(x -a) = (x^2 -a^2 +x -a)/(x -a)

  = ((x -a)(x +a) +(x -a))/(x -a) = x +a +1

(f(x) -f(a))/(x -a) = x +a +1

Answer:

C. y = x² + 7x + 10

Step-by-step explanation:

I graphed the equation on the graph below to show you how I got my answer.

Answer:

You have to use this equation: [tex]a^{2} + b^{2} -c^{2}[/tex]

Step-by-step explanation:

C is the hypotenuse but you need another one  so you got to do

[tex]x^{2} +8^{2} =17^{2}[/tex]

now you have to find [tex]x^{2}[/tex] which is

[tex]x^{2} = 17^{2} - 8^{2}[/tex]

[tex]x^{2} = 289 - 64[/tex]

[tex]x^{2} = 225[/tex]

[tex]x = \sqrt{255}[/tex]

[tex]x = 15[/tex]

Answer:

total there are 3 values of x as +5/3, -5/3 and 0

Step-by-step explanation:

the  given equation is

x(6x-10) (6x+10)=0

this equation can be solved as following

=0   using the formula (a+b)*(a-b)= (a^2-b^2)

here a=6x and b=10

from here we can write either x=0 or 36x^2= 100  

or x^2= 100/36 and x=0

or x= ±10/6 and x=0

therefore, total there are 3 values of x as +5/3, -5/3 and 0

Answer: 80/89

Step-by-step explanation:

Answer:

80/89

Step-by-step explanation:

delta math told me

Answer:

25L

Step-by-step explanation:

19396.5 km - 19034.0 km = 362.5‬ km travled

362.5 km / 14.5 km/L = 25L

Answer:

it is the first one

Step-by-step explanation:

Answer:

A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The top 3 rectangles and the middle bottom rectangle are shaded.

Step-by-step explanation:

Answer:

Define two roughly identical sets.

Reduce the chance of bias.

Step-by-step explanation:

In this experiment, Daniel performs a random assignment in order to stablish two separate groups with roughly equivalent ability to do barbell curls. Two different treatments (verbal encouragement and silence) are then applied in order to verify for a cause and effect relationship. If the groups were not randomly assigned, then the experiment could be biased.

Answer:

Average systolic blood pressure = x = 130

Standard deviation = s = 6

Step-by-step explanation:

We are to find interval that represents the systolic blood pressure of middle 99.7% of the males.

According to the empirical rule:

a) 68% values lie within 1 standard deviation of the mean

b) 95% values lie within 2 standard deviation of the mean

c) 99.7% values lie within 3 standard deviation of the mean

So, 99.7% value will lie within 3 standard deviations from the mean.

We can express this range as:

( x - 3s, x + 3s)

= (130 - 3(6), 130 +3(6))

= ( 130 - 18, 130 + 18)

= ( 112, 148 )

Thus the interval from 112 to 148 contains the systolic blood pressure of middle 99.7% of the males in the certain town

Hope this helps!!!

The interval of systolic blood pressures that represent the middle 99.7 of males is (90, 120).

Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.

Given that,

For males in a certain town, the systolic blood pressure is normally distributed.

Mean, μ = 105

Standard deviation, σ = 5

Using empirical rule, we can say that 99.7% of males having the systolic blood pressures observed following a normal distribution lies within 3 standard deviations of the mean.

So the interval is (μ ± 3σ).

That is, (105 - 3×5, 105 + 3×5) = (90, 120)

Hence the required interval is (90, 120).

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