Write an equation for the linear function f with values f(6) = -4 and f(9) =-9.

Step-by-step explanation:

Decreased by 92% = 8% of original

8% of original value = New value = 13.12

100% of original value = 13.12 * (100/8) = 164.

The original value is 164.

Answer:

m∠A = 115°

m∠C = 50°

Step-by-step explanation:

By triangle sum theorem,

Sum of measures of all interior angles of a triangles equals to 180°.

m∠A + m∠B + m∠C = 180°

By substituting the values of the angles from the given table,

(4x - 13) + 15 + (x + 18) = 180

(4x + x) + (-13 + 15 + 18) = 180

5x + 20 = 180

5x = 180 - 20

x = [tex]\frac{160}{5}[/tex]

x = 32

m∠A = (4x - 13)° = 4(32) - 13

                          = 115°

m∠C = (x + 18)° = 32 + 18

                         = 50°

Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5

According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:

(4 · x - 13) + 15 + (x + 18) = 180

5 · x + 20 = 180

5 · x = 160

x = 32

Finally, the measure of the angles A and C from the triangle ABC are, respectively:

m ∠ A = 4 · 32 - 13 = 115°

m ∠ C = 32 + 18 = 50°

Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5

To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5

Answer:

the rate of change is -5.

Step-by-step explanation:

y = -5x - 3

-5 = rate of change

-3 = x intercept

Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.

Answer:

y = 2x + 4

Step-by-step explanation:

To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.

1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.

y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.

2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.

3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).

2040

&Go do no cheat or dis

Answer: 4(11+12)

Step-by-step : don't ask why I'm even answering this

Answer:

27

Step-by-step explanation:

Slope = 3

(-4, - 3) (6, k)

(y2 - y1) /(x2 - x1) = 3

(k + 3) / (6 + 4) = 3

(k +3) / 10 = 3

k + 3 = 30

k = 30 - 3

k = 27

Answer:

B

Step-by-step explanation:

Answer:

28 inches long

Step-by-step explanation:

just multiply 7 and 4

Answer:

  La probabilidad de que la pieza elegida sea defectuosa, P(D), 0.0385

La máquina con mayor probabilidad de haber producido la pieza defectuosa es A

Step-by-step explanation:

Sea D= "la pieza es defectuosa" y N= "la pieza no es defectuosa". La información del problema puede expresarse en el diagrama de árbol adjunto.

Para calcular la probabilidad de que la pieza elegida sea defectuosa, P(D), por la propiedad de la probabilidad total,

P(D) = P(A) · P(D/A) + P(B) · P(D/B) + P(C) · P(D/C) =

= 0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05 = 0.0385

Debemos calcular P(B/D). Por el teorema de Bayes,

P(B/D)= P(B) x P(D/B)   /  P(A) x P(D/A) + P(B) x P(D/B) +P(C) x P(D/C)  

          =        0.35 · 0.04 /     0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05

Calculamos P(A/D) y P(C/D), comparándolas con el valor de P(B/D) ya calculado. Aplicando el teorema de Bayes, obtenemos:

0.012

0.0385

P(A/D)= 0.311

0.014

0.0385

P(B(D)=0.363

0.0125

0.0385

P(C/D)=0.324

 La máquina con mayor probabilidad de haber producido la pieza defectuosa es A

Answer:

I'm guessing the angle 1 is supposed to be 74 degrees and not angle 2?

Step-by-step explanation:

Either way. Complementary angles always have a sum of 90°. 74+16=90 so it checks out

Answer: 8 years

Step-by-step explanation:

You can find this out use the Rule of 72. By dividing 72 by the fixed interest rate, you can estimate the amount of time it will take for an investment to double in size:

= 72/10

= 7.2 years

= 8 complete years

Example:

Assume they invested $1,000. Interest rate is 10%.

Amount after 8 years will be:

= 1,000 * (1 + 10%)⁸

=$2,143.59

Investment is now more than double.

Answer:

the third one

Step-by-step explanation:

I do not know 100% but I am pretty sure so good luck and plz let me know if I am wrong.

Answer:

package with 2.09 pounds

Step-by-step explanation:

When rounding to the nearest whole number, if the first number after the decimal point is equal or greater than 5, add 1 to the number before the decimal. If this is not the case, add 0 to the number before the decimal point.

to round 2.56 to the nearest whole number equals 3.

While to round 2.09 to the nearest whole number equals 2.

Because Emma needs 2 pounds, she would go with 2.09 pounds

Answer:

her bonus will be a big paycheck of 99999

Answer:

m = -9/4

Step-by-step explanation:

Hope this helps!

Answer:

d) the line crosses the y-axis above the origin

Step-by-step explanation:

your welcome

Answer:

b

Step-by-step explanation:

Answer:

Volume = 1436.8 cm³

Step-by-step explanation:

Formula for the volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = radius of the sphere

For a sphere which has the radius = 7 cm

Volume of the sphere = [tex]\frac{4}{3}\pi (7)^3[/tex]

                                     = 1436.76

                                     ≈ 1436.8 cm³

Therefore, volume of the sphere is 1436.8 cm³.

Answer:

She originally bought either 20 or 32 shares

Step-by-step explanation:

An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?

Let the number of shares she bought be represented by 1600/x

This is calculated as:

1600/x  = 1120/x + 10  + 4

Multiply through by (x)(x - 10)

1600(x-10) = 1120(x) + 4(x)(x - 10)

1600x - 16000 = 1120x + 4x² - 40x

Collect like terms

4x² + 1120x - 1600x - 40x +16000 = 0

4x² - 520x + 16000 = 0

Using the Almighty formula method

= -b ± √b²- 4ac/2a

a = 4, b = -520 , c = 16,000

Hence:

= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4

= 520 ± √14400/8

= 520 ± 120/8

520 - 120/8

= 400/8

= 50

520 ± 120/8

= 520 + 120/8

= 640/8

= 80

Since we have:

1600/x

When x = 50

= 1600/50

= 32

When x = 80

= 1600/80

= 20

Therefore, she originally bought either 20 or 32 shares

Answer:

8/9

Step-by-step explanation:

2/3 ÷ 3/4

2*4/(3*3)

8/9

Answer:

Number of free throws =  9

Step-by-step explanation:

Given that:

Kylie made 18% of her free throws.

Number of attempts = 50

Based on the information, she will make out 18% free throws.

Number of free throws = 18% of 50

Number of free throws = [tex]\frac{18}{100}*50[/tex]

Number of free throws = 0.18 * 50

Number of free throws = 9

Hence,

Number of free throws =  9

Answer:

C. CD and DH

D. EH and GH

F. AD and DH

H. AB and BC

K. FG and EF

Step-by-step explanation:

hope this helps

Answer:

16oz / 1 lb

Step-by-step explanation:

Answer:

≈ 77 cm²

Step-by-step explanation:

The area of the shaded portion is calculated as

area of outer sector - area of inner sector

= (πR² - π r²) × [tex]\frac{60}{360}[/tex] ( R is the outer radius, r is the inner radius )

= (π × 14² - π × 7² ) × [tex]\frac{1}{6}[/tex]

= (196π - 49π ) ÷ 6

= 147π ÷ 6

≈ 77 cm² ( nearest whole number )

Answer:

[tex]A_s=76.97\ cm^2[/tex]

Step-by-step explanation:

Circular Sector

It's the portion of a circle enclosed by two radii and an arc. The area of a sector is calculated as follows:

[tex]\displaystyle A=\frac {r^{2}\theta }{2}[/tex]

Where r is the radius and θ is the central angle expressed in radians. The central angle will be converted to radians:

[tex]\theta=60*\frac{\pi}{180}=1.0472\ rad[/tex]

The shaded region in the figure can be obtained by subtracting the smaller sector A2 area from the larger sector area A1:

[tex]A_s=A_1-A_2[/tex]

The larger area is calculated with a radius of r1=14 cm:

[tex]\displaystyle A_1=\frac {14^{2}*1.0472 }{2}[/tex]

[tex]\displaystyle A_1=102.626\ cm^2[/tex]

The smaller area is calculated with r2=7 cm:

[tex]\displaystyle A_2=\frac {7^{2}*1.0472 }{2}[/tex]

[tex]\displaystyle A_2=25.656\ cm^2[/tex]

The shaded area is:

[tex]A_s=102.626\ cm^2-25.656\ cm^2[/tex]

[tex]\boxed{A_s=76.97\ cm^2}[/tex]

Answer:

2<a<5

Step-by-step explanation:

Answer:

Angle 1: 68

Angle 2: 136

Angle 3: 46

Answer:

54

Step-by-step explanation:

x+2x+2x=5x

90/5=18

18*3=54

Answer:

The answer is 54.

Step-by-step explanation:

Ok buddy

‣Remember that a right angle equals 90 degrees.

‣The numbers lie on a right angle.

‣So watchya gonna do is combine the like terms.

[tex]x + 2x + 2x = 5x[/tex]

‣In an equation, that finna look like:

[tex]5x = 90[/tex]

‣Solve that equation

[tex] \frac{5x}{5} = \frac{90}{5} \\ \\ x = 18[/tex]

‣Therefore, the value of x is 18.

‣We trynna find 3x so plug it.

[tex]3x \\ 3(18) \\ 54[/tex]

‣That fr is the answer, 54.