If an angle does not have a measure of 88°, then the angle is not an acute angle.

Given:

The sequence is:

[tex]6, -24, 96, -384,...[/tex]

To find:

The explicit formula for the given sequence and then find the 16th term.

Solution:

We have,

[tex]6, -24, 96, -384,...[/tex]

The ratio between two consecutive terms are:

[tex]\dfrac{-24}{6}=-4[/tex]

[tex]\dfrac{96}{-24}=-4[/tex]

[tex]\dfrac{-384}{96}=-4[/tex]

The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio [tex]-4[/tex].

The explicit formula of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting [tex]a=6, r=-4[/tex] in the above formula, we get

[tex]a_n=6(-4)^{n-1}[/tex]

We need to find the 16th term. So, put [tex]n=16[/tex] in the above formula.

[tex]a_n=6(-4)^{16-1}[/tex]

[tex]a_n=6(-4)^{15}[/tex]

[tex]a_n=6(-1073741824)[/tex]

[tex]a_n=-6442450944[/tex]

Therefore, the explicit formula for the given sequence is  [tex]a_n=6(-4)^{n-1}[/tex] and 16th term of the given sequence is [tex]-6.442450944[/tex].

Answer:

9

Step-by-step explanation:

Simply multiply 30 by .3.

Hope that this helps!

Answer:

9

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

9×2 =18 or 9+9=18 I haven't done this since 6 grade sorry if I got it wrong

The A’ is your reflected shape. The red line is y=-1, or your line  right reflection.  To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.

Answer:

D 1/25

Step-by-step explanation:

5 multiplied by the negative second power is .04, .04 times 25 equals 1.

Answer:

sorry need some points

Step-by-step explanation:

49 + 710 is 10390.49 + 710 is 10390.

D. [tex] ({ - 8})^{2} - 9 + ( - 7)[/tex] ✅

Step-by-step explanation:

[tex] {( - 32 \div4 })^{2} - 9 + ( - 7) \\ \\ = ({ - 8})^{2} - 9 +(- 7 )\\ \\=64-9-7\\\\ = 64 - 16 \\ \\ = 48[/tex]

Note:-

[tex]\sf\red{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

The smallest possible value of k is 656

Step-by-step explanation:

The given width of the Eiffel Tower, w₁ = 328 feet

The given height of the Eiffel Tower, h₁ = 984 feet

The width of the space Maria can use on the shirt, w₂ = 0.75 feet

The height of the space she can use on the shirt, h₂ = 1.5 feet

We get;

The ratio of height to width of the Eiffel Tower = h₁/w₁ = 984/328 = 3

The height to width ratio of the space on the shirt = h₂/w₂ = 1.5/0.75 = 2

Therefore, that the aspect ratio of the space on the T-shirt is wider than the Eiffel Tower, the height of the space on the T-shirt is the limiting dimension of the scaled picture of the Eiffel Tower

Therefore, the scale factor, k = The ratio of the actual height of the Eiffel Tower, to the height of the space on the T-shirt

Where 'k' represent the integer value to shrink the Eiffel Tower and fit it on the T-shirt, and 'k' is the smallest ratios of the dimensions of width or height of the tower to the dimensions of the width or height of the space available on the shirt, given that the height to width ratio of the area on the shirt is smaller than that of the Eiffel Tower

Mathematically

k = h₁/h₂

∴ k = 984/1.5 = 656

The scale factor of the height of the Eiffel Tower to the height of the space available on the T-shirt, k = The smallest possible value of k = 656.

Answer:Option 1) H

Step-by-step explanation:

Answer:

its H

Step-by-step explanation:

EDG 2021

Answer:

A

Step-by-step explanation:

Hope this helped!

Answer:

i am pretty sure its B

Step-by-step explanation:

Answer:

V=4

3πr3 is formula of this question

Answer: 336.80 miles, [tex]15.85^{\circ}[/tex] North of east

Step-by-step explanation:

Given

Plane lands at a point 324 miles east and 92 miles north

Distance is given by using Pythagoras theorem

[tex]\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}[/tex]

Direction is given by using figure i.e.

[tex]\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}[/tex]

Direction is [tex]15.85^{\circ}[/tex] North of east

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.

The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,

[tex]\frac{BD}{BA}=\frac{BE}{BC}[/tex].

Substitute,

[tex]\frac{BD}{BD+DA}=\frac{BE}{BE+EC}\\\\\frac{x+2}{x+x+2}=\frac{3}{3+2}[/tex]

Simplify,

[tex]\frac{x+2}{2x+2}=\frac{3}{5}[/tex]

Cross products,

[tex]5(x+2)=3(2x+2)\\[/tex]

Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,

[tex]5x+10=6x+6[/tex]

Inverse operations,

[tex]5x+10=6x+6\\\\10=x+6\\\\4=x[/tex]

Answer:

75%

Step-by-step explanation:

18/24 = .75

Answer:

75%

Step-by-step explanation:

18 / 24 = 0.75%

Answer:

P

v = 794.0275 in³

Q

v = 1,307.81 in³

Step-by-step explanation:

volume of cone

v = πr²h

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

cylinder P

v = 3.14 * (4.25²) * 14

v = 794.0275 in³

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

cylinder Q

v = 3.14 * (7²) * 8.5

v = 1,307.81 in³

Answer:

5,120

Step-by-step explanation:

5x4=20

20×4=80

80x4=320

320x4=1,280

1,280x4=5,120

Hope this helps! :)

Answer:

Step-by-step explanation:

first term a=5

common ratio r=20/5=4

[tex]a_{n}=ar^{n-1}\\a_{6}=5(4)^{6-1}\\=5(4)^5\\=5120[/tex]

Answer:

-1 and -2

Step-by-step explanation:

The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

The functions are given as:

Function 1

f(x) = -(x - 4)² + 1

Function 2:

f(x) = -(x - 2)² + 5

A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum

The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.

Read more about quadratic functions at:

brainly.com/question/4140287

#SPJ3

complete question;

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).

Answer:

12/4 i really hope this helps i took the test and got a 100

Step-by-step explanation:

Answer:

Hi,

These are corresponding angles. Corresponding angles are congruent. So the equation would be 100=x+106. Do you think you can solve that? If you can't let me know and I will do it for you?

Step-by-step explanation:

Answer:

Step-by-step explanation:

By adjacent interior angles theorem,

If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.

a° + (3x - 18)° = 180°

a° = 180° - (3x - 18)°

By vertical angles theorem,

If two straight lines intersect each other at a point, opposite angles formed are equal in measure.

180° - (3x - 18)° = (5x - 10)°

(5x - 10) + (3x - 18) = 180

(5x + 3x) - (10 + 18) = 180

8x - 28 = 180

8x = 180 + 28

8x = 208

x = 26

Answer:

18

Step-by-step explanation:

Answer:

the answer is blurry for me take a picture again

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

[tex]\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10[/tex]

Complete Question

Yana though of a number she multiplied it by 8 subtracted 4 divided the result by 2, and got 30. What number did Yana think of

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

From the question we are told that:

Thought of Number x

Multiplied it by 8

 [tex]x*8=8x[/tex]

Subtracted 4

 [tex]8x-4[/tex]

Divided the result by 2

 [tex]\frac{8x-4}{2}[/tex]

Generally the equation for x is mathematically given by

 [tex]\frac{8x-4}{2}=30[/tex]

 [tex]8x-4=60[/tex]

 [tex]8x=60+4[/tex]

 [tex]x=8[/tex]

Answer:

The answer is D (6).

hope this helps!

Answer:

A. 7986.45

[tex] \frac{4}{3} \pir3[/tex]

Answer: To me it (Zero) or (Undefined)

Answer:

9 cans of white paint

Step-by-step explanation:

To solve this you can set up a ratio.

The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.

[tex]\frac{3}{2} = \frac{?}{6}[/tex]

We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.