which statement is true?

As per the equation of the circle, the center of the circle is (-1.6, -9.8) units, and its radius is approximately 5.10 units.

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle, and r is the radius. By comparing the given equation with the standard form, we can easily identify the values of h, k, and r.

Comparing the given equation

=> (x + 1.6)² + (y + 9.8)² = 26

with the standard form, we find that h = -1.6 and k = -9.8.

These values represent the x-coordinate and y-coordinate of the center of the circle, respectively.

To find the radius, we need to take the square root of the constant term on the right side of the equation.

R² = 26

r = √26 ≈ 5.10 (rounded to two decimal places)

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Answer:

V = 48 [tex]inches^{3}[/tex]

Step-by-step explanation:

Volume of a rectangular prism = Area of base * height

Substitute in our values and solve for Volume

V = 4 * 12

V = 48 [tex]inches^{3}[/tex]

Answer:

48 Sq.In

Step-by-step explanation:

Did quiz edge and got righ lol

PLS MARK BRAINLIEST

Answer:

C

Step-by-step explanation:

Total number of notebooks and pencils= 19

Assuming that she bought notebooks only,

amount spent

= 19($2.05)

= $38.95

Difference in actual amount spent

= $38.95 -$31.80

= $7.15

This difference in amount is due to the number of wrong assumptions we have made previously, such that we assumed that a certain number of pencils that she bought was notebooks. Thus, let's find the number of wrong assumptions so we can find out how many pencils she bought.

Cost difference of each notebook compared to a pencil

= $2.05 -$1.50

= $0.55

This means that for each wrong assumption, there is an additional $0.55 in the total amount Joanna spent.

Number of sets of extra $0.55

= $7.15 ÷$0.55

= 13

Thus, she bought 13 pencils.

Amount of notebooks bought

= 19 -13

= 6

Let's check our work!

If Joanna bought 13 pencils and 6 notebooks,

total amount spent

= 13($1.50) +6($2.05)

= $19.50 +$12.30

= $31.80

Thus option C is indeed correct as it is given from the question that she spent $31.80.

Answer:

correct answer is c

Step-by-step explanation:

Answer:

A' = 2,-2

B' = 2,-4

C' = 5,-4

Step-by-step explanation:

Answer:

x = ± 3, x = ± 2i

Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 5x² - 36 = 0

Use the substitution u = x² then the equation is

u² - 5u - 36 = 0 ← in standard form

(u - 9)(u + 4) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 9 = 0 ⇒ u = 9

u + 4 = 0 ⇒ u = - 4

This indicates there will be 2 real roots and 2 complex roots

Change back to find values of x, that is

u = 9 ⇒ x² = 9 ⇒ x = ± [tex]\sqrt{9}[/tex] = ± 3 ← real roots

u = - 4 ⇒ x² = - 4 ⇒ x = ± [tex]\sqrt{-4}[/tex] = ± 2i ← imaginary roots

Answer:

B

Step-by-step explanation:

i jst did it

Answer:

In mathematics and statistics, deviation is a measure of difference between the observed value of a variable and some other value, often that variable's mean.

To calculate the standard deviation of those numbers:

Work out the Mean (the simple average of the numbers)

Then for each number: subtract the Mean and square the result.

Then work out the mean of those squared differences.

Take the square root of that and we are done!

Answer:

the action of departing from an established course

Step-by-step explanation: Your Welcome Stay Safe

Answer: I think it is positive association

Step-by-step explanation:

I am not that sure

Answer:

q < 7

Step-by-step explanation:

Given:

[tex]\frac{-q}{7} > -1[/tex]

Required:

Find the value of q.

First, multiply both sides by 7

[tex]7 * \frac{-q}{7} > -1 * 7[/tex]

-q > -7

Then, multiply both sides by -1

q < 7

Note that the sign of the inequality changed.

When multiplying or dividing an inequality by a number less than 0 (in other words, a negative numbers), the sign of the inequality will change.

Hence, the solution to the expression above is

q < 7

The height of Joseph in meters is 1.79 m.

Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it. Height refers to something measured vertically whether high or low.

Here, Height of Joseph = 5.9 ft.

         1 feet = 0.304 m

        5.9 ft = 0.304 X 5.9 m.

        5.9 ft = 1.79 m.

Thus, the height of Joseph in meters is 1.79 m.

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Answer:

y = 11x

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

   = (11-0)/(1-0)

   = 11/1

=11

We know the y intercept is 0 ( the y value where x is zero)

We can use the slope intercept form of the equation for a line

y = mx+b where m is the slope and b is the y intercept

y = 11x+0

y = 11x

Answer:

6ft

Step-by-step explanation:

correct on Edge 2020 :-)

6 feet is the length of the missing leg of the right angles triangle.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

A right triangle has a side length of 5 feet and hypotenuse of √61

We need to find the missing length which is x.

By pythagoras theorem we can find this.

√61²=5²+x²

61=25+x²

Substitute 25 from both sides

61-25=x²

36=x²

x=6

6 feet is the length of the missing leg

Hence, 6 feet is the length of the missing leg of the right angles triangle.

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Answer:

39%

Step-by-step explanation:

100% = 61% + 39%

Answer:

39/100

Step-by-step explanation:

if the coin lands on tails 39 out of 100 times the probability would be 39 out of 100 and 39 is odd so it cannot go into 100 cause it's even

Answer:

Step-by-step explanation:

The probability is obtained by calculating the z score,  

(pˆD−pˆE) - (PD - PE)

      0.0914  

10.1917-0.1

0.0914           = 1.0029

P(z > 1.0029) = 1 - P(z ≤ 1.0029)

The probability is obtained from the z distribution table,

P(Z > 1.0029) = 1-0.8420 = 0.1580

Answer:

Step-by-step explanation:

[tex]-10 + (-\frac{3}{4})=-10-\frac{3}{4}\\\\[/tex]

[tex]=\frac{-10*4}{1*4}-\frac{3}{4}\\\\=\frac{-40}{4}-\frac{3}{4}\\\\=\frac{-40-3}{4}\\\\=\frac{-43}{4}\\\\=-10\frac{3}{4}[/tex]

Answer:

2

3

0

2

Step-by-step explanation:

Just did intro

Answer:

2

3

0

2

Step-by-step explanation:

just did it on edg

Answer:

3+(-5)-2

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Answer:

15..

Step-by-step explanation:

4, 10, 14, 18, 22, 22

Mean = (4 + 10 + 14 + 18 + 22 + 22)/6

= 90/6

= 15.

Number to be added, 'y'

For the mean to be the same

(90 + y) / 7 = 15

90 + y = 15 × 7

90 + y = 105

y = 105 - 90

= 15

By calculating angles and side lengths using trigonometric ratios and the Pythagorean theorem, we determined that the height of the silo (length CE) is approximately 18 feet.

Calculate angle ACD using the tangent trigonometry ratio:

Given AD = 8 feet and DP = 5 feet, we find C using tan(C) = AD/DP, which gives C = arctan(8/5) = 32 degrees.

Calculate angle BCA:

BCA = 90 - 32 = 58 degrees.

Calculate side length AC using the Pythagorean theorem:

Given AB = 5 feet and BC = 8 feet, AC^2 = AB^2 + BC^2, so AC = sqrt(89) = 9.4 feet.

Calculate the height of the silo (length CE) using the cosine ratio:

With AC = 9.4 feet and BCA = 58 degrees, cos(58) = BC/AC = CE/9.4. Solving for CE, we get approximately 17.7 feet.

Therefore, the height of the silo is approximately 18 feet.

Answer:

it is 3x+10

Step-by-step explanation:

Answer:

19 Pigs

29 Chickens

Step-by-step explanation:

19 pigs with 4 legs each =

19 x 4 = 76 legs

+

29 chickens with 2 legs each =

29 x 2 = 58 legs

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

48 animals total 134 legs total

Answer:

square root of 100 is 10

Step-by-step explanation:

The real roots of 100 are 10 and -10.

The root of a number x is another number, which, when multiplied by itself a given number of times, equals x.

Roots of 100 = [tex]\sqrt{100}[/tex] = ± 10

Hence, The real roots of 100 are 10 and -10.

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Answer:

89

Step-by-step explanation:

1

Answer:

total area = K + R = 448  + 1,165.5  = $1,613.5  sq. in.

Step-by-step explanation:

Use formulas for area of Kite and area of rhombus.

K = area of Kite

R = area of rhombus

K = (1/2) *(diagonal 1)*(diagonal 2)

R = (1/2)*(diagonal 1)*(diagonal 2)

K = (1/2)*(28 in.)*(32 in.) = 14 * 32 = 448 sq. in.

R = (1/2)*(37 in.)*(63 in.) = 1,165.5  sq. in.

total area = K + R = 448  + 1,165.5  = $1,613.5  sq. in.

Answer:

[tex] {x}^{2} + 6x + 9[/tex]

Step-by-step explanation:

[tex](x + 3) ^{2} \\ (x + 3)(x + 3) \\ x(x + 3) + 3(x + 3) \\ {x}^{2} + 3x + 3x + 9 \\ {x}^{2} + 6x + 9[/tex]

The expression [tex](x+3)^2[/tex] on multiplication and simplification becomes [tex]x^2+6x+9[/tex]. So, option c) is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, expression can be solved by following some basic steps as follows:

Firstly, solve the brackets.

Then perform multiplication and addition.

[tex](x+3)^2=(x+3)(x+3)=x\times (x+3)+ 3\times (x+3)\\(x+3)2=x^2+3x+3x+9\\(x+3)^2=x^2+6x+9[/tex]

So, on multiplication and simplification (x+3)2 becomes [tex]x^2+6x+9[/tex]. So, option c) is correct.

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Answer:

Hi there! The answer is B: 45 Miles/Hour (or mph)

Step-by-step explanation:

When looking at speed signs in the U.S. they always use miles per hour, or MPH. Making it so the other options are incorrect!

Hope this helps!! :)

The most common unit on a U.S. speed limit sign is B. 45 miles/hour. Speed limits are displayed in miles per hour, not in units like miles per day, miles per second, or feet per second.

The value you would most likely see on a U.S. speed limit sign is B. 45 miles/hour. In the U.S., speed limits are almost always shown in miles per hour (mi/h). Therefore, options like 150 miles/day, .08 miles/second, or 25 feet/second are not standard measurements for speed limits on road signs.

To address the conversion exercises, converting 80 km/h to metric units of meters per second (m/s), you use the conversion factor 1 km/h = (1/3.6) m/s. So, 80 km/h equals approximately 22.2 m/s. The conversion to imperial units of miles per hour requires knowing that 1 km is roughly 0.621 miles, making 80 km/h about 49.7 mi/h.

Similarly, 100 km/h equals about 27.8 m/s (not an option here), and in miles per hour, it's approximately 62 mi/h. When converting from metric to imperial or vice versa, it's useful to remember that 1 m/s equals 3.6 km/h and roughly 2.2 mi/h.

Answer:

Step-by-step explanation:

Answer: Choice A) 3n^2

A monomial has exactly one term. So the answer is between choices A and C based on this fact alone. We can rule out choice C as this has a coefficient of 2. Choice A has a coefficient of 3 and an exponent of 2 (so its degree 2). This is a quadratic monomial.