6.
Which of the quadratic functions has the narrowest graph?


A. y = –x2

B. y = 4x2

C. [tex]y=\frac{1}{4} x^2[/tex]

D. [tex]y=\frac{1}{9} x^2[/tex]

Answer:

(0, 3)

Step-by-step explanation:

y= 3 when x=0

Answer:

It would be B

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Remember SOHCAHTOA.

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

sin(64) = x / 94

Multiply both sides by 94.

94sin(64) = 94x / 94

Simplify

x = 94sin(64)

x = 84.487 = 84.5

Answer:

11.5 inches

Step-by-step explanation:

Answer:

0.7 repeating is 7/9

0.04 repeating is 4/99

4.45 repeating 4 4/11

2.19191919...... is 2 19/99

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

1. First do the brackets because BEDMAS

So, (12÷4+1) = 4

2. 15 - 1 x 4

3. 15 - 4

4. 11

Hope this helps! :)

Use the symbolab website/app it's really helpful

Answer:

627square inches

Step-by-step explanation:

Area of the composite figure.. = area of triangle + area of parallelogram

Since the triangle is an equilateral triangle;

Area of the triangle = r²sintheta

Area of the triangle = 18²sin60

Area of the triangle = 324sin60

Area of the triangle  = 324(0.8860)

Area of the triangle = 280.584 square in

Area of the triangle = 281 square inches

Area of parallelogram = absintheta

Area of parallelogram = 20(20)sin60

Area of parallelogram = 400(0.8660)

Area of parallelogram = 346.4square inches

Area of parallelogram = 346 square inches

Area of the figure = 346  + 281

Area of the figure  = 627square inches

Answer:

2. Isosceles

4. 25, 65, 90

Step-by-step explanation:

Isosceles triangles have two equivalent sides

All the interior angles of triangles always add up to 180 degrees

Answer:

33

Step-by-step explanation:

(3×3 )+(1/2 ×3×4) ×4 = 33

Answer:

{3,4,5,7,9,10,13,17}

Step-by-step explanation:

The U means union and that means join sets A and B together

A U B

{3,4,5,7,9,10,13,17}

Answer: $11.30 per pound

Step-by-step explanation:

William spent $110.74 to buy 9.8 pounds of candy.

To find the cost per candy, divide the amount spent by the quantity of candy:

=Amount spent on candy / Quantity of candy

= 110.74 / 9.8

= $11.30 per pound

a) Very unlikely (1/30)

b) Unlikely (6/30)

c) Likely (15/30)

mark me brainliestt :))

Answer:

A) 140

B) 75

C) 80

D) 20

E) 80

Step-by-step explanation:

Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.

Comenzamos nombrando cada círculo:

E= personas que usan máquinas eléctricas

M= personas que usan máquinas mecánicas

C = personas que usan computadoras.

- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.

- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.

- En la intersección entre M y C restamos:

25-20=5

Entonces colocamos este 5 en esa región.

- En la intersección entre E y C restamos:

35-20=15

Entonces colocamos este 15 en esa región.

- En la intersección entre E y M restamos:

40-20=20

Entonces colocamos este 20 en esa región.

- En la región de E restamos:

110-20-20-15=55

Entonces colocamos este 55 en esa región.

- En la región de M restamos:

50-20-20-5=5

Entonces colocamos este 5 en esa región.

- En la región de C restamos:

60-15-20-5=20

Entonces colocamos este 20 en esa región.

Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)

Y ahora ya lo podemos usar para responder a las preguntas:

A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:

55+20+5+60=140

B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:

55+20=75

C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C

55+20+5=80

D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C

20

E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:

20´60=80

Answer:

Step-by-step explanation:

mass of person decreased=50kg-40kg

=10kg

decrease percentage=10/50*100

=10*2

=20%

Answer:

Option B, 8 / 6

Step-by-step explanation:

Tangent = Opposite / Adjacent

Tangent of ∠A = Opposite / Adjacent

Tan(A) = 8 / 6 which is the same as Option B

Hope this helps!

Step-by-step explanation:

what is the center of the circle !

Answer:

150% increase

19) No, 3 should multiply both x and 2. As they, (x+2) are both inside the parentheses. The correct answer should be 3x + 6.

20) No, when it comes to exponents and multiply, exponents is done first before multiply. Therefore, Brett should square 3 first before multiplying it by 2. the correct steps should be

2 * 3^2 + 5

= 2* 9 + 5

=18 + 5

=23

Answer:

d. 16 feet

Step-by-step explanation:

x² + 12² = 20²

x² + 144 = 400

x² + 144 - 144 = 400 - 144

x² = 256

√x² = √256

x = 16

Answer:

Remember that:

[tex]\frac{a/b}{c/d} = \frac{a}{b}*\frac{d}{c}[/tex]

A) We know that:

Each dog gets (2/3) of a cup of food.

Elena used 3 + 1/3 cups of dog food, then, how many dogs there are?

The number of dogs is equal to the quotient between the total amount of food used and the food that a single dog needs, this is:

[tex]N = \frac{3 + 1/3}{2/3}[/tex]

We can rewrite the numerator as:

3 + 1/3 = 3*(3/3) + 1/3 = 9/3 + 1/3 = 10/3

Replacing that in the above equation, we get:

[tex]N = \frac{10/3}{2/3} = \frac{10}{3} *\frac{3}{2} = 10/2 = 5[/tex]

There are 5 dogs.

B)

We know that:

5 + 1/8 cups of water, can fill four bottles.

Then, how many cups we need for each bottle?

Assuming that each bottle holds the same amount of water, then each bottle will hold a fourth of (5 + 1/8) cups of water.

This is the quotient between (5 + 1/8) cups of water and 4.

[tex]K = \frac{5 + 1/8}{4}[/tex]

We can rewrite the numerator as:

5 + 1/8 = 5*(8/8) + 1/8 = 40/8 + 1/8 = 41/8

Replacing that we get:

[tex]K = \frac{41/8}{4} = \frac{41}{8} *\frac{1}{4} = 41/32[/tex]

We can rewrite this as a mixed number in the next way:

[tex]K = \frac{41}{32} = \frac{32 + 9}{32} = \frac{32}{32} + \frac{9}{32} = 1+ 9/32[/tex]

So with 1 and 9/32 cups of water we can fill one of the bottles.

Answer:

[tex]h_m=103.125ft[/tex]

Step-by-step explanation:

From the question we are told that:

Focus [tex]F=32ft[/tex]

Width of building [tex]W=200ft[/tex]

Height[tex]h=25[/tex]

Generally the equation for the Parabola is mathematically given by

 [tex]y^2=4ax[/tex]

 [tex]y^2=128x[/tex]

 [tex]y^2=128b^2[/tex]

 [tex]y=\pm8\sqrt{2b}[/tex]

 [tex]b=\frac{25}{2\sqrt{2}}[/tex]

Therefore

 [tex]x=b^2[/tex]

 [tex]b^2=\frac{625}{8}[/tex]

Generally the Generally the equation for momentum is mathematically given by mathematically given by

 [tex]h_m=x+h\\h_m=\frac{625}{8}+25[/tex]

 [tex]h_m=\frac{825}{8}ft[/tex]

 [tex]h_m=103.125ft[/tex]

Answer:

85

Step-by-step explanation:

2x + 29 + x - 23 = 180

solve for x = 28

b = 2 * 28 + 29 = 85

Answer:

$1182.65

Step-by-step explanation:

Given :

Fortnight gross pay = $1300

Given :

PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay

FNPF = 5% = 0.05 * $1300 = $65

PAYE = $31.85 ; HEALTH INSURANCE = $20.50

Total deduction = $(65 + 31.85 + 20.50) = $117.35

Net pay :

Gross pay - deduction

$1300 - $117.35 = $1182.65

Answer:

Step-by-step explanation:

Correct choice is B

Answer:

Step-by-step explanation:

225*1/3=x

225/3=x

75=x

Answer:

(1/4)CD

Step-by-step explanation:

The length of a segment that represents 25% will be 1/4 as long as the segment representing 100%.

25% is 1/4 of 100%

25% = 1/4 = 0.25