Which of the following is a function equivalent to f(x) = 3(1. 7)4x? f(x) = 25. 06x f(x) = 3(8. 35)x f(x) = 3(8. 25x) f(x) = 487. 97x.

Answer:

The value of the notebook at the end of 2013 is $980

Step-by-step explanation:

First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.

30% ⇒ 0.30

Now multiply 0.30 by 2,000 to find 30% of 2,000.

2,000 × 0.30 = 600

Subtract 600 from 2,000 to find the price of the notebook in 2013.

2,000 - 600 = 1,400

Now find 30% of 1,400 using the same process.

1,400 × 0.30 = 420

Subtract 420 from 1,400 to find the price of the notebook in 2014.

1,400 - 420 = 980

We will have 16 white counters in the bag.

Given that there are  blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:

If there are 112 more blue counters than white counters, then;

number of blues = number of white + 112

16x = 2x + 112

14x = 112

x = 8

Number of white counters = 2x = 2(8) = 16

Therefore we will have 16 white counters in the bag.

Learn more on ratios here: https://brainly.com/question/2914376

Answer:

96

Step-by-step explanation:

C=πd

C=?

π=3

d=32

C=3×32

Therefore C=96

Saved:-

[tex]\\ \sf\Rrightarrow 2\dfrac{1}{4}-\dfrac{3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{9}{4}-\dfrac{3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{18-3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{15}{8}[/tex]

[tex]\\ \sf\Rrightarrow 1\dfrac{7}{8}[/tex]

Answer:

[tex]\textsf{D)} \quad 1 \dfrac{7}{8}[/tex]

Step-by-step explanation:

Subtract the used volume of punch from the starting volume of punch.

Convert the mixed number to an improper fraction:

[tex]\begin{aligned} \implies 2\frac{1}{4}-\frac{3}{8} & = \dfrac{2 \times 4+1}{4}-\dfrac{3}{8}\\\\ & = \dfrac{9}{4}-\dfrac{3}{8}\end{aligned}[/tex]

Make the denominators of both fractions the same by multiplying the numerator and the denominator of 9/4 by 2:

[tex]\implies \dfrac{9 \times 2}{4 \times 2}-\dfrac{3}{8} = \dfrac{18}{8}-\dfrac{3}{8}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]

[tex]\begin{aligned} \implies \dfrac{18}{8}-\dfrac{3}{8} & = \dfrac{18-3}{8}\\\\ & = \dfrac{15}{8}\end{aligned}[/tex]

Convert back into a mixed number:

[tex]\begin{aligned}\implies \dfrac{15}{8} & = \dfrac{8+7}{8}\\\\ & = \dfrac{8}{8}+\dfrac{7}{8}\\\\ & = 1\dfrac{7}{8}\end{aligned}[/tex]

Answer:

[tex]x^2 +6x +2=0[/tex]

Step-by-step explanation:

Answer:

The answer is (C) because every time the hour goes up, the mile goes up by 5 so if you continue to count up by 5's you would get 500 at 10.

Answer:

3/8 or 0.375mph.

Step-by-step explanation:

All you have to do for this is divide one fourth by two thirds. This way, you get the units to work out as well.

[tex]\frac{1}{4}/\frac{2}{3}=\frac{1}{4}*\frac{3}{2}=\frac{3}8=0.375mph[/tex]

Answer: Both of the Givens go in the left top boxes, and then in the right top boxes you would put B is the midpoint of AD and CE and then AC is equal to DE. In the third and fourth boxes on the left, you would put CB = EB and then AB is equal to DB. In the third and fourth boxes on the right you put both of the Def. of Midpoints. Then, in the last box to the left, you would put triangle ABC = DBE. In the final box to the right you would put Side-Side-Side Congruency.

Step-by-step explanation:

1) ac≅de, given

2) b is the midpoint, given

3) ab≅db, defn midpoint

4) cb≅eb, defn midpoint

5) abc≅dbe, side side side

Listamos los lados faltantes a continuación:

El teorema de Pitágoras establece que la medida de la hipotenusa ([tex]c[/tex]), en centímetros, de un triángulo rectángulo es igual a la raíz cuadrada de la suma de los cuadrados de los catetos ([tex]a,b[/tex]), en centímetros. La fórmula se encuentra expresada a continuación:

[tex]c^{2} = a^{2}+b^{2}[/tex] (1)

La hipotenusa es el lado de mayor longitud del triángulo, los catetos son los dos lados restantes.

A continuación, procedemos a resolver cada caso:

1) [tex]a = 3\,cm[/tex], [tex]b = 5\,cm[/tex]

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

[tex]c = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}}[/tex]

[tex]c \approx \sqrt{34}\,cm[/tex]

2) [tex]x = 6.8\,cm[/tex], [tex]y = 4.5\,cm[/tex]

[tex]z = \sqrt{x^{2}-y^{2}}[/tex]

[tex]z = \sqrt{(6.8\,cm)^{2}-(4.5\,cm)^{2}}[/tex]

[tex]z \approx 5.098\,cm[/tex]

3) [tex]n = 13\,cm[/tex], [tex]m = 12\,cm[/tex]

[tex]p = \sqrt{n^{2}-m^{2}}[/tex]

[tex]p = \sqrt{(13\,cm)^{2}-(12\,cm)^{2}}[/tex]

[tex]p = 5\,cm[/tex]

4) [tex]m = 2.7\,cm[/tex], [tex]s = 2.5\,cm[/tex]

[tex]l = \sqrt{m^{2}+s^{2}}[/tex]

[tex]l = \sqrt{(2.7\,cm)^{2}+(2.5\,cm)^{2}}[/tex]

[tex]l\approx 3.680\,cm[/tex]

Para aprender más sobre el teorema de Pitágoras, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/343682

Answer:

244140625

5¹²

it is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant. In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio. Therefore, 12th term is 244140625.

Answer:

He has 15 Blueberry Muffins

Step-by-step explanation:

If the ratio is 3 to 5, and he has 9 apples, that means that he has 3 times the normal ratio. So, multiply 5 by 3 and you get 15 blueberries.

Answer:

B.) the number of tents the army orders

Step-by-step explanation:

The word problem does not speak of any prices or tent sizes so it cant be A or C

Answer:

its B

Step-by-step explanation:

Answer:

It is an acute scalene triangle

Step-by-step explanation:

All angles are acute, making it an acute triangle

scalene because all sides are different lengths

Answer:

eight years

Step-by-step explanation:

at year one: nabisco 30k and keebler: 36k

year two: nabisco: 33k and keebler: 38k

year three: nabisco: 36k and keebler: 40k

year four: nabisco: 39k and keebler: 42k

year five: nabisco: 42k and keeber: 44k

year six: nabisco: 45k and keebler 46k

year seven: nabisco: 48k and keeber 48k

year eight: nabisco: 51k and keebler 50k

Answer:

The equation -x2 + 6x - 9 = 0 has two real solutions.

Step-by-step explanation:

[tex] {b}^{2} - 4ac = {6}^{2} - 4( - 1)( - 9) = 0 [/tex]

The discriminant equals to 0, so the quadratic equation has 1 real solution.

Answer:

y = m x + b   equation for a straight line

if x = o then y = 4 from graph

y = 0 + 4            and b = 4

If x = 8 then y = 24 from graph

24 = m * 8 + 4      substituting in our equation

m = 20 / 8 = 2.5      giving slope or rate of change

y = 2.5 x + 4     the final equation with a slope of 2.5

As a check using the graph:

We see that if y = 24 then x = 8

24 = m * 8 + 4      substituting in our equation

m = 20/8 = 2.5 agreeing with the value found

8.722 / (-3.56)

Expand [tex]\frac{8.722}{-3.56}[/tex] by multiplying both numerator and denominator by 1000.

[tex]\frac{8722}{-3560}[/tex]

Reduce the fraction [tex]\frac{8722}{-3560}[/tex] to the lowest terms by extracting and cancelling out 178.

-[tex]\frac {49}{20}[/tex] = -2.45

Answer:

36.1 in.

Step-by-step explanation:

1:19 , 1.9in.

1.9 * 19

which equals 36.1 in.

(HOpe This hElps:)

If correct plz give brainliest ; )

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

Answer:

8:04 pm

Step-by-step explanation:

Answer:

8:04

Step-by-step explanation:

8 o'clock and four minutes past 8 is 8:04.

Answer:

4 of each, 8 pumpkin bags, 7 banana bags

Step-by-step explanation:

4 is the GCF of 32 and 28.

Divide each number by 4

Answer:

[tex]\huge\boxed{x=29;\ y=51}[/tex]

Step-by-step explanation:

This is Isosceles triangle (look at the picture).

We know:

All triangles have internal angles that add up to 180°

Therefore:

[tex](x-2)+(x-2)+(4x+10)=180[/tex]

combine like terms:

[tex](x+x+4x)+(-2-2+10)=180\\\\6x+6=180\qquad|\text{subtract 6 from both sides}\\\\6x=174\qquad|\text{divide both sides by 6}\\\\x=29[/tex]

(x - 2)° and 3y° are supplementary angle (Two Angles are Supplementary when they add up to 180°).

Therefore:

[tex]3y+(x-2)=180[/tex]

substitute x = 29 and solve for y:

[tex]3y+(29-2)=180\\\\3y+27=180\qquad|\text{subtract 27 from both sides}\\\\3y=153\qquad|\text{divide both sides by 3}\\\\y=51[/tex]

Answer:

We can simplify everything to the power of 2:

[tex]8^{x+2} = 2^{3*(x+2)}=2^{3x+6[/tex]

[tex]16^{x+1} = 2^{4*(x+1)}=2^{4x+4[/tex]

As the two equations are equal to each other and they have common bases, their powers must be equal too. We can come up with this equation:

3x+6=4x+4

solve for x

x=2

D (last answer choice)

plug x=2 in and check and you will get 4096=4096

Answer:

42:54,54:42

Step-by-step explanation: