Identify the explicit function for the sequence in the table x 1,2,3,4,5 y 9,14,19,24,29

Given:

The given expression is:

[tex]\log_44[/tex]

To find:

The simplified value for the given expression.

Solution:

According to the property of logarithm,

[tex]log_aa=1[/tex]

We have,

[tex]\log_44[/tex]

Here, the base of the logarithm is 4 and the value inside the log is also 4, since these two values are same therefore the value of this expression is 1 by using the above property of logarithm.

[tex]\log_44=1[/tex]

Hence, the correct option is D.

By evaluating log4 4 without a calculator, we discover that it is equal to 1.

Answer:

Its A

Step-by-step explanation:

Answer:

B(x, y) = (-2, -2)

Step-by-step explanation:

Given: AB: AC (m₁: m₂) = 1 : 2, A (x₁, y₁) = (-5, 2) and B(x₂, y₂) = (4, -10)

To find: Coordinates of B (x, y)

Using section formula:

Therefore Coordinates of B (x, y) is (-2, -2).

Step-by-step explanation:

Answer:

(6x + 5)(x + 2)

Step-by-step explanation:

x coefficients must multiply to 6

so 6 * 1 or 2*3

10 must be 5*2 or 1* 10

(6x + 5)(x + 2) = (6x² + 12x + 5x + 10) = 6x² + 17x + 10

Answer:

c is the same angle as a

b and d are the same as the other

and together the are what's left from 360° after a and c got their share

so

360 -98 -98 = b + d

makes

164 = b + d

since they are of equal value, just decide 164 by 2 and you got b and d at once

pls brainliest

Answer:

Vertical Angles: a and c , d and b

m<b= 82⁰ , m<c=98⁰ , m<d=82⁰

Adjacent Angles: a and b , b and c , c and d ,d and a

correct me if im wrong

Answer:

C ∠CAT, ∠TAC, ∠3, ∠A

Answer: t=-3h+25

Step-by-step explanation:

t=-3h+25

25 degrees is a constant-- it never changes, no matter how many hours goes by. So, you don't multiply a variable with it.

The temperature drops every 3 hours-- this is not constant, since it's dependent on the number of hours that passes. So, use a variable here. Since the temperature drops every three hours, it's -3, and not 3.

Answer:

[tex]t=-3h+25[/tex]

Step-by-step explanation:

If we know that when [tex]h=0[/tex], [tex]t=25[/tex], then we can use a direct proportion equation ([tex]x=ky[/tex]). The temperature decreases every hour by 3 degrees. However, we know that before any temperature drop, the temperature was 25 degrees. All together, this gives us [tex]t=-3h+25[/tex], where [tex]-3h[/tex] is the temperature drop each hour, and [tex]25[/tex] is the starting temperature. Hope that explained things :)

Answer:

221.87 feet

Step-by-step explanation:

Given that,

A 525 ft cable runs from the top of an antenna to the ground.

The angle of elevation made by the ground to the top of an antena 25°

We need to find the height of the antenna.

Using trigonometry,

Hypotenuse, H = 525 ft

θ = 25°

So,

[tex]\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=525\times \sin(25)\\\\P=221.87\ ft[/tex]

So, the height of the antenna is equal to 221.87 feet.

Answer:

y = 5x - 13

Step-by-step explanation:

point slope form: y - y1 = m (x - x1)

plug in: y1 = -3,  x1 = 2,  m = 5

y - (-3) = 5 (x - 2)

y + 3 = 5x - 10                                     <- simplify and expand

y = 5x - 13                                    <answer for slope intercept

equation: y = 5x - 13

I'm not sure what equation type you would like as well as your possible answer choices, but I hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

y = x

Step-by-step explanation:

i took two points which are very close to the trend line - (3,3) and (5,5) - to get the slope

the slope is 2/2 or 1 and the y-intercept is zero

this means the trend line is 'y = x'

Answer: The value of x can be either 5 or 10.

Step-by-step explanation:

We are given:

Total profit, P = $5600

The given equation follows:

⇒ P = 600 + 1500x - 100x²

Putting value of P in above equation, we get:

⇒ -100x² + 1500x + 600 = 5600

⇒ -100x² + 1500x - 5000 = 0

⇒ 100x² - 1500x + 5000 = 0

Solving this equation by middle term split, we get:

⇒ 100(x² - 15x + 50) = 0

⇒ (x² - 10x - 5x + 50) = 0

⇒ x(x - 10) - 5(x -10) = 0

⇒ (x - 10)(x - 5) = 0

⇒ x = 10, 5

Hence, the value of x can be either 5 or 10.

Answer:

3.391, 3.913, 3.931

Step-by-step explanation:

Hope i could help :)

Answer:

7mm:10mm

Step-by-step explanation:

1cm =10mm

so 7:10

10/3 = k/9

10 x 9 = 3 x k

90 = 3 k

k = 90/3

k = 30

Answer:

4.93 cm 475.9 mm 4.5 m 47.3 m

Step-by-step explanation:

mmmmmmmmmmmmmmmmmmmmmmm

Answer:

A = 50.26 sq meters

Step-by-step explanation:

we have to find the diameter first by using the circumference:

C = πd

25.12 = πd

25.12/π = d

8 = d

this means the radius is 4

A = πr²

A = π4² or 16π

A = 50.26 sq meters

Answer:

navel piercing.

Or

belly button piercing

Or

an umbilical dip piercing

Answer: 25

Step-by-step explanation:

Answer:

456

Step-by-step explanation:...

Answer:

$5,980

Step-by-step explanation:

23% of $1,000 = $230

so, Martha's deductions for a full calendar year =

52/2 × $230 = $5,980

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

4 + 3x + 3x + 14 + 90 = 180 , simplify left side

108 + 6x = 180 ( subtract 108 from both sides )

6x = 72 ( divide both sides by 6 )

x = 12

Then

∠ A = 4 + 3x = 4 + 3(12) = 4 + 36 = 40° → A

Answer:

Step-by-step explanation:

PQ = q-p

PQ = q-p, therefore PS = (2/3)(q-p)

OS = p + (2/3)(q-p) = (2q+p)/3

OR = q + p/2

To make new vectors, chain vectors, follow arrow directions.  

The sum is the line joining the beginning and end points.

If you need to reverse the direction of a vector, simply put a negative sign.

Answer:

1 and 3 on edg

Step-by-step explanation:

The correct statements are YZ = 9 cm and XZ = 9√2

A triangle with one angle equal to 90° is called a right triangle.

Given that, a right triangle XYZ, with acute angles 45°, we need to determine the correct statements regarding the triangles,

Since, the acutes angles are equal, therefore, sides opposite to them will also be equal,

XY = YZ = 9 cm

Using the Pythagoras theorem,

XY² + YZ² = XZ²

XZ² = 9²+9²

XZ = √162

XZ = 9√2

The longest side is always opposite to the largest angle, which is XZ.

Hence, the correct statements are YZ = 9 cm and XZ = 9√2

Learn more about right triangles, click;

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