Find the value of x.
91°
(7x)

Answer:

b=20°, c=160°

Step-by-step explanation:

b=20° [vertically opposite angle]

c+b=180° [angle at same line ]

c=180° - 20°

c = 160°

The best prediction for the number of times it will not land on yellow would be 29 times.

We have,

Assuming the spinner has an equal probability of landing on each color, The probability of it not landing on yellow is 4/5.

So,

If you spin the spinner 36 times, the expected number of times it will not land on yellow is:

= (4/5) x 36

= 28.8

Since you can't have a fraction of a spin,

= 28

Thus,

The best prediction for the number of times it will not land on yellow would be 29 times.

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The statement which is true about the function is the range of the function is all real numbers less than or equal to 9.​

The Domain of a function is the set of all the possible input values which are valid for that function.

Range of a function is the set of all the possible output values which are valid for that function.

The function shown in the graph can be given as,

[tex]f(x)=-x^2-4x+5[/tex]

The one coordinate point of this equation is -2, 9, which is shown in the graph. At the value of x as -2, the value of f(x) is 9,

[tex]f(-2)=-(-2)^2-4(-2)+5\\f(-2)=-4+8+5\\f(-2)=9[/tex]

Here, the input value is -2 and the output value is 9. The domain for this function is all real number, but the range of this function is (-∞,9).

Hence, the statement which is true about the function is the range of the function is all real numbers less than or equal to 9.​

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Answer:

its literally D bro on edge

Step-by-step explanation:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Answer:

9 in.

Step-by-step explanation:

a^2 + 5.6^2 = 10.6^2

a^2 + 31.36 = 112.36

Subtract 31.36 from both sides

a^2 = 81

Squart Root both sides

a = 9 inches

Answer:

a = 11.9883 in

Step-by-step explanation:

Sides:

a = 5.6 in

b = 11.9883 in

c = 10.6 in

Angles:

A = 27.8476 °

B = 90 °

C = 62.1524 °

Other:

P = 28.1883 in

s = 14.0942 in

K = 29.68 in2

r = 2.10584 in

R = 5.99416 in

SAS is Side, Angle, Side

Given the size of 2 sides (c and a) and the size of the angle B that is in between those 2 sides, you can calculate the sizes of the remaining 1 side and 2 angles. Use The Law of Cosines to solve the remaining side.

Law of Cosines

If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of cosines states:

a^2 = c^2 + b^2 - 2bc cos A,   solving for cos A,   cos A = ( b^2 + c^2 - a^2 ) / 2bc

b^2 = a^2 + c^2 - 2ca cos B,   solving for cos B,   cos B = ( c^2 + a^2 - b^2 ) / 2ca

c^2 = b^2 + a^2 - 2ab cos C,   solving for cos C,   cos C = ( a^2 + b^2 - c^2 ) / 2ab

Solving, for example, for an angle, A = cos^-1 [ ( b^2 + c^2 - a^2 ) / 2bc ]

Answer:eht sistep 2 and step 4 is the correct answer

Step-by-step explanation:

1/8 is in it 3/2 if that is it

Answer:

134

Step-by-step explanation:

164 minus 30 equals 134. Julia has 134 apples left after giving her friend 30 of them.

Answer:

if your asking how much she has in all it would be 134

Step-by-step explanation:

Because

164

30-

____

134

Answer:

the height is 5 and the base is 17.

Step-by-step explanation:

X + 1 is the height and 4x + 1 is the base, so we can substitute this into an equation:

( x + 1 ) (4x + 1) = 85

{apply the distributive law}

4x² + x + 4x + 1 =

4x² + 5x + 1 = 85

Take 85 to the other side by -85 each side:

4x² + 5x + 1 - 85 = 85 - 85

4x² + 5x - 84 = 0

{Now we have a quadratic equation}

The roots are either -5.25 or 4. X must be 4 since it must be positive as it is a side length.

Substitute x into the base and height to get the answers.

X + 1 = 4 + 1 = 5

4x + 1 = 16 + 1 = 17

Therefore the height is 5 and the base is 17.

Answer:

a. +34 b. +46 c. +45 d. +31

Step-by-step explanation: use a number line

Answer:

slope = 3/2

the plant grows 3 centimeters every 2 weeks

Step-by-step explanation:

Answer:

10/12 is greater and for the second one, 4/11 is greater and 5/8 is greater

Answer:

80

Step-by-step explanation:

profit = revenue - expenses

revenue = $15 per hour = $15 * number of hours (n) = $15 * n

expenses = $490 + $45 + $65 = $600

we want profit to be 600 or more

15 * n - 600 = profit

profit ≥ 600

15 * n - 600 ≥ 600

add 600 to both sides to isolate the variable and its coefficient

15 * n ≥ 1200

divide both sides by 15 to isolate the variable

n ≥ 80

Jose must therefore work 80 or more hours, for a minimum of 80

The center of the circle is (7,8) and the equation of the given circle is (x- 7)^2 + (y - 8)^2 = 16

The given parameters are:

Center (a,b) = (7,8)

Point (x,y) = (11,8)

Calculate the radius (r) using:

[tex]r = \sqrt{(x- a)^2 + (y - b)^2}[/tex]

So, we have:

[tex]r= \sqrt{(11- 7)^2 + (8 - 8)^2}[/tex]

Evaluate the expression

[tex]r = 4[/tex]

The circle equation is then calculated using:

[tex](x- a)^2 + (y - b)^2 =r^2[/tex]

So, we have:

[tex](x- 7)^2 + (y - 8)^2 = 4^2[/tex]

Evaluate the exponent

[tex](x- 7)^2 + (y - 8)^2 = 16[/tex]

Hence, the equation of the given circle is (x- 7)^2 + (y - 8)^2 = 16

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Answer:

See below

Step-by-step explanation:

[tex]1.\:\:\overline{BD}||\overline{AE}[/tex]

(By Midsegment theorem)

[tex]2.\:\:m\angle 1=48\degree\implies m\angle 4=48\degree [/tex]

([tex]\angle 1\: \&\:\angle 4[/tex] are alternate angles)

[tex]3.\:\:m\angle 3=25\degree\implies m\angle 2=25\degree [/tex]

([tex]\angle 2\: \&\:\angle 3[/tex] are vertical angles)

[tex]4.\:\:\overline {AE}=17\: cm\implies BD = 8.5\: cm [/tex]

(By midsegment theorem: [tex]BD=\frac{1}{2}AE[/tex]

[tex]5.\:\: BD=\frac{1}{2}AE\\\\\implies (3x+10)=\frac{1}{2}\times (12x+2)\\\\\implies 2(3x +10) = 12x+2\\\\\implies 6x +20= 12x+2\\\\\implies 6x - 12x = 2-20\\\\\implies -6x =-18\\\\\implies x =\frac{-18}{-6}\\\\\implies x = 3\\\\\implies \overline{BD}= (3\times 3 + 10)\\\\=(9+10)\\\\\implies \overline{BD}= (9 + 10)\\\\\implies \huge{\purple{\overline{BD}=19}}[/tex]

Geometric series have the same ratio. The series which is a geometric series is 1, 3, 9, 27.

A series of numbers is a geometric series if the quotient of any two consecutive numbers is the same.

A series of numbers is a geometric series if the quotient of any two consecutive numbers is the same.

A.) 0.1 0.3 0.5 0.7

To check if the series is geometric series, find the quotient.

[tex]r_1=\dfrac{0.3}{0.1} = 3\\\\r_2 = \dfrac{0.5}{0.3} = 1.66[/tex]

Since the ratio is different this is not a geometric series.

B.) 1 3 9 27

To check if the series is geometric series, find the quotient.

[tex]r_1=\dfrac{3}{1} = 3\\\\r_2 = \dfrac{9}{3} = 3[/tex]

Since the ratio is the same this is a geometric series.

C.) 19 17 15 13

To check if the series is geometric series, find the quotient.

[tex]r_1=\dfrac{17}{19} = 0.8947\\\\r_2 = \dfrac{15}{17} = 0.8823[/tex]

Since the ratio is different this is not a geometric series.

D.) 0.4 0.9 1.5 2.2

To check if the series is geometric series, find the quotient.

[tex]r_1=\dfrac{0.4}{0.9} = 0.4444\\\\r_2 = \dfrac{0.9}{1.5} = 0.6[/tex]

Since the ratio is different this is not a geometric series.

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Answer:

its b 1 + 3 + 9 + 27

Step-by-step explanation:

Equations are expressions separated by equal sign. The value of x that make the expression equal is 2

Given the equation expressed as:

3^2x = 9^3x - 4

This can be further simplified as:

3^2x = 3^2(3x-4)

2x = 2(3x - 4)

x = 3x - 4

x - 3x = -4
-2x = -4

x = 2

Hence the value of x that make the expression equal is 2

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Answer: its 2

Step-by-step explanation: just took test on chrome 2022, and got 100%

The interquartile range = Third quartile - First quartile = 22 - 15 = 7

The range = 25 - 12 = 13

Range = largest data value - the least data value

Interquartile range = Q3 - Q1

Given the following weekly allowance of Sean's classmates as, 15, 15, 22, 14, 12, 24, 16, 25, 15, 15:

Third quartile (Q3) = 22

First quartile (Q1) = 15

Interquartile range = 22 - 15 = 7

Range = 25 - 12 = 13

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Answer:

Step-by-step explanation:

Answer:

If the bacteria grow for six hours, each bacterium will divide 3 times per hour × 6 hours = 18 times.

Every time the bacteria reproduce, the number doubles.

Answer:

m=1

Step-by-step explanation:

y2-y1/x2-x1

-4+3/-4+3

-1/-1

1

The equation of a hyperbola with directrices at x = ±2 and foci at (6, 0) and (−6, 0) is y squared over 48 minus x squared over 12 equals 1.

The equation of the hyperbola is the equation which is used to represent the hyperbola in the algebraic equation form, with the value of center point in the coordinate plane and foci.

The standard form of the equation of the hyperbola can be given as,

[tex]\dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=r^2[/tex]

Here (h,k) is the center of the hyperbola, (b) is the transverse axis, and (a) is the conjugate axis.

The foci of the hyperbola is,

[tex](h,k\pm c)[/tex]

The directrix is,

[tex]y=k\pm \dfrac{a^2}{c}[/tex]

A hyperbola is given with directrices at x = ±2 and foci at (6, 0) and (−6, 0). Thus, the directrix is,

[tex]y=k\pm \dfrac{a^2}{c}\\\pm 2=k\pm \dfrac{a^2}{c}\\\dfrac{a^2}{6}=2\\a^2=12\\[/tex]

It is known that,

[tex]a^2+b^2=c^2\\[/tex]

Put the value of a and c,

[tex](12)+b^2=6^2\\b^2=36-12\\b^2=24[/tex]

The value of center is (0,0). Thus, the equation of hyperbola is,

[tex]\dfrac{(y-0)^2}{24^2}-\dfrac{(x-0)^2}{12^2}=1\\\dfrac{y^2}{24^2}-\dfrac{x^2}{12^2}=1[/tex]

Thus, the equation of a hyperbola with directrices at x = ±2 and foci at (6, 0) and (−6, 0) is y squared over 48 minus x squared over 12 equals 1.

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Answer:

(A) mK = 37° and n = 31.

Step-by-step explanation:

The following are A of ed.

circumference = πd

= 3.14 × 14

43.98 ft

hope it helps...!!!

Answer:

44

Step-by-step explanation:

We are given that the diameter is 14 ft.

The radius is half the diameter, so the radius is 7 ft.

Now, the formula for circumference is: 2πr

So: 2 * π * (7) = 43.98

Round: 43.98 >> 44.0

Answer:

(fx^2)/3 - 6f

Step-by-step explanation:

Answer:

1 because I don't know how to do this stuff yet

Answer:

C.

Step-by-step explanation:

Since you are subtracting a positive from a negative, your absolute value will get greater. With negative numbers, the less they become in value, the higher their absolute value will get. So, since we are subtracting a positive from a negative, we add them together. However, we need to add them as if they were both positive signs.

Once you do this:

 19

+18

You should get 37. Since -19 has a greater absolute value than 18, you keep the negative sign and apply it to 37, getting you -37.

Answer:

any value of y >= 8  

Step-by-step explanation: