Please help me solve these are quadratic equations: I​

Answer:

11.94

Step-by-step explanation:

$1.99 multiplied by 6 is 11.94

Answer:

mm

Step-by-step explanation:

Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.

To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.

Let's denote the length of the actual tank as "x".

According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.

So, we can set up the following proportion:

1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)

Cross-multiplying and solving for x, we get:

x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm

The actual tank is 1620 cm long.

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Answer:

OOO

OOO

OO

Step-by-step explanation:

Where OOO is == 1.

OO is 2/3 of OOO.

Answer:

  (a)  6 months

Step-by-step explanation:

The formula for figuring the monthly payment on an amortized loan can be used for finding the length of time it takes to pay off the loan.

That formula is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment, P is the principal value of the loan, r is the annual interest rate, and t is the number of years.

__

Using the given information, we can solve for t:

  300 = 1568(0.113/12)/(1 -(1 +0.113/12)^(-12t))

  1 -(1 +0.113/12)^(-12t) = 1568(0.113)/(12(300))

  (1 +0.113/12)^(-12t) = 1 -(1568·0.113)/(12·300) ≈ 0.950782

Taking logs, we get ...

  -12t·log(1 +0.113/12) = log(0.950782)

  t = log(0.950782)/(-12·log(1 +0.113/12)) ≈ 0.448739 . . . . years

This fraction of a year is ...

  (12 months/year)(0.448739 years) = 5.38 months

It will take you 6 months to pay off the loan.

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Part 1: Finding slope

The slope is \(\frac{-3-15}{5-(-10)}=\frac{-18}{15}=\boxed{-\frac{6}{5}}\)

Part 2: Finding the equation

Using the point (-10, 15) to substitute into point-slope form,

\(y-15=-\frac{6}{5}(x+10)\\\\y-15=-\frac{6}{5}x-12\\\\\boxed{y=-\frac{6}{5}x+3}\)

Answer:

Using the given points we find that the slope is -1.2 and using the slope-point form we find that the equation of line is y+1.2x = 3.

Step-by-step explanation:

In the question, two points are given, (5,-3) and (-10,15). Using them we can find the slope using the formula, (y2 - y1) / (x2 - x1). So, the slope is

(-3-15) / (5+10) = -18 / 15 = -1.2

Now, we have to find the equation of line. We have two points and a slope. Using any one point and the slope, we can find the equation of line using slope-point form of line. Let us take (5,-3).

(y+3) / (x-5) = -1.2

y+3 = -1.2(x-5)

y+3 = -1.2x + 6

y+1.2x = 3

So, the slope of line is -1.2 and the equation of line is y+1.2x = 3.

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Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2. Therefore, option D is correct.

Given that the point A is at -4 and the point B is at 6.

We need to find the point that divides AB into a 3:2 ratio.

One way to find the point that divides AB into a 3:2 ratio is to divide AB into 5 equal parts.

Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.

Therefore, option D is correct.
Option A is incorrect because the point that divides AB into a 3:2 ratio is not 0.Option B is incorrect because the point that divides AB into a 3:2 ratio is not 3.Option C is incorrect because the point that divides AB into a 3:2 ratio is not 1.

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Answer:

ok

Step-by-step explanation:

Answer: huh

Step-by-step explanation:

Explanation:

The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.

The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.

The angle between the two tangents drawn from an external point to a circle and the angle subtended by the line segment joining the points of the contact at the Centre are supplymentary,

So,

15.) let the unknown angle be x

=》x + 55° = 180°

=》x = 180° - 55°

=》

\( \boxed{x = 125°}\)

16. let the unknown angle be n

=》n + 80° = 180°

=》n = 180° - 80°

=》

\( \boxed{n = 100°}\)

9514 1404 393

Answer:

  15)  125°

  16  100°

Step-by-step explanation:

The short arc where two tangents intersect a circle, and the angle where the tangents meet are supplementary.

__

15) ? = 180° -55° = 125°

16) ? = 180° - 80° = 100°

_____

Additional comment

The quadrilateral formed by the tangents and the radii to the points of tangency has a total interior angle measure of 360°. The angles where the radii meet the tangents are 90°, so the sum of the external angle and the central angle is 360° -90° -90° = 180°. That is, the external angle and the central angle are supplementary.

Answer:

1. Even

2. Neither

3. Even

4. Odd

Equations: 1 and 3 are even

Step-by-step explanation:

1. f(-x) = (-x)^4 - (-x)^2

         = x^4 - x^2 Even

2. f(-x) = (-x)^2 - 3(-x) + 2

          = x^2 + 3x + 2 Neither

3. f(-x) = -2

         = -2 Even

4. f(-x) = 5(-x)

          = -5x Odd

I hope this helps!

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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Answer:

0.10512

Step-by-step explanation:

Given the following :

Mean number of calls(μ) in 2 hours = 14

2 hours = 60 * 2 = 120 minutes

Average number of calls in 45 minutes :

= (45 / 120) * 14

= 0.375 * 14

= 5.25

Now find P( x ≤ 2) = p(x = 0) + p( x = 1) + p(x = 2)

Using the poisson probability formula:

P(x, μ) = [(e^-μ) * (μ^x)] / x!

Where :

e = euler's constant

μ = 5.25

x = 0, 1, 2

Using the online poisson probability calculator :

P(x, 5.25) = P( x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)

P(x, 5.25) = P( x ≤ 2) = 0.00525 + 0.02755 + 0.07232 = 0.10512

Answer:

10

Step-by-step explanation:

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Answer: L = 10

Explanation:

The formula is L x W x H

We can do L * 0.5 * 11 = 55

L * 5.5 = 55

L  = 10

I hope this helped!

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The slope of the Least-Square Regression Line is 1.585 from the regression output given, hence, for each additional increase in hand span, the number of pretzels increases by 1.585

Given that,

A graph titled Grabbing Pretzels has hand span (centimeters) on the x-axis, and number of pretzels on the y-axis. A line goes through points (19, 16) and (22, 20).

Predictor Coef SE Coef t-ratio p

Constant -14.71 4.317 1.689 0.046

Hand spun 1.585 0.310 5.114 0.000

S = 3.05 R-Sq = 52.1% R-Sq(Adj) = 51.7%

The slope of a linear regression line gives the rate of increase in y-value per change in x

The Handspun Coefficient on the table is the slope of the regression line

Therefore, for every 1 centimeter increase in handspun, number of pretzels increases by 1.585

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complete question:

The scatterplot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters. An analysis was completed and the computer output is shown.

A graph titled Grabbing Pretzels has handspan (centimeters) on the x-axis, and number of pretzels on the y-axis. A line goes through points (19, 16) and (22, 20).

Predictor Coef SE Coef t-ratio p

Constant -14.71 4.317 1.689 0.046

Handspan 1.585 0.310 5.114 0.000

S = 3.05 R-Sq = 52.1% R-Sq(Adj) = 51.7%

Using the computer output, the slope of the least-squares regression line means for each additional

Given:

The graph and equation of polynomial is given.

The maximum value of the graph is at x=1.

We have to find the y value of its maximum.

Now,

The equation of polynomial is :

Put x=1 in the equation above, we get:

Hence, the y value of this maximum is 1 or y=1.

Answer:

first blank is x, then -7, then 11, then -11.

Step-by-step explanation:

Hope it helps!

Answer:

Can you do it in english? I can't read in spanish sorry.

The range of values of x for which the given approximation is accurate to within the stated error (0.164375 (0.164375)3/3!=9.993513*10(-7))0.000001.

The series ∑∞n=1bnsin(nπLt) is known as the sine series of f(t) and the series a02+∑∞n=1ancos(nπLt) is known as the cosine series of f(t).

The development series of sin(x) near 0 is, according to

Sin(x) = x/1, x/3, and x/5!...............(1) (1)

Using the above estimate, S(x)=x-x3/3! ................(2)

Consequently, the incorrect phrase for the guess is

error=(2)- (1)

= -(x^5/5! - x^7/7! + x^9/9!)

According to the elective series hypothesis, we only want to make sure that the aggregate will be below as much as feasible and that the outright value of the initial term dropped (x5/5!) is not exactly as far as possible.

This declares what

|x^5/5!| < 0.000001

Speaking for x:

x^5=5!*0.000001=0.000120

x=(0.000120)^(1/5)=0.164375

In light of this, the estimation of sin(x) is x-x3/3! has a blatant error for the range [-0.164375,+0.164375] below 0.000001.

Thus,

sin(0.164375)- (0.164375)^3/3!=9.993513*10^(- 7) < 0.000001

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The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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Answer:

1. −7

Step-by-step explanation:

--------------------------------------------------------

Answer:

2) x = -7

Step-by-step explanation:

What is the value of x when h(x) = −3?

When h(x) = -3, x = -7

Hope this helps!

Answer:r=3cscθ

Step-by-step explanation:The equation y = 3 represents a horizontal line at a distance of 3 units above the x-axis in the Cartesian coordinate system. To convert this equation into polar form, we can use the fact that x = rcos(theta) and y = rsin(theta) in polar coordinates.

Since y = 3 for all values of x, we can say that r*sin(theta) = 3. Solving for r, we get:

r = 3/sin(theta)

This equation represents a family of circles with center at the origin and radius 3/sin(theta), for all values of theta except for multiples of pi. We can simplify this equation by using the identity sin(theta) = 1/csc(theta), giving us:

r = 3csc(theta)

Answer:

4 5/8

Step-by-step explanation:

Rewriting our equation with parts separated

=4+12+18

Solving the fraction parts

12+18=?

Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.

LCD = 8

48+18=58

Combining the whole and fraction parts

4+58=458