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Solve.

2x + 4 3
B) x 1/3
D) x < 1/3

Answer:

108, 324, 972

Step-by-step explanation:

This sequence is multiplying by ✖️3.

4✖️3=12✖️3=36✖️3=108✖️3=324✖️3=972

Hope this helps!

Answer:

Step-by-step explanation:

1/5³

1

1/2⁵

4

1

y⁴/x²

Answer:

theres the screenshot of it

The solution to prove the sum of the interior angles of a triangle is 180° is

∠1 + ∠2 + ∠3 = 180°  ( angles in a straight line )

∠2 + ∠5 + ∠6 = 180°  ( interior angles of a triangle )

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ABC

Now , the angles inside the triangle are ∠2 , ∠5 and ∠6

Now , the lines l₁ and l₂ are two parallel lines

From the figure ,

The measure of ∠1 = The measure of ∠5 ( alternate interior angles )

The measure of ∠3 = The measure of ∠6 ( alternate interior angles )

Now , for a straight line , the measure of angle = 180°

So , ∠1 + ∠2 + ∠3 = 180°  ( angles in a straight line ) ( angle addition )

And , the sum interior angles of a triangle is 180°

So , ∠2 + ∠5 + ∠6 = 180°  ( interior angles of a triangle ) ( substitution )

Hence , the sum of the angles inside a triangle is 180°

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The statement "The range of F(x) = log base x is the set of all negative real numbers" is false.

A logarithmic function is a mathematical function that represents the logarithm of a number with respect to a given base. In other words, it is a function that relates a number to its logarithm. The general form of a logarithmic function is: f(x) = logₐ(x)

Here,
The natural logarithm function, ln(x), and the common logarithm function, log base 10 (x), both have domains of all positive real numbers, and their ranges are all real numbers. However, the logarithm function with base x, where x is a positive real number greater than 1, has a domain of all positive real numbers and a range of all real numbers. The logarithm function with base x, where x is a positive real number between 0 and 1, has a domain of all positive real numbers and a range of all negative real numbers.

Therefore, the statement is true only for the logarithm function with a base between 0 and 1, but false for the logarithm function with a base greater than 1.

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Answer:

since the set of functions expressed are uncountable and they are a subset of real numbers starting from N therefore the set {0,1,2,3,4,5,6,7,8,9} is uncountable as well as its off functions

Step-by-step explanation:

set = {0,1,2,3,4,5,6,7,8,9}

setting up a one-to-one correspondence between the set of real numbers between 0 and 1

The function : F(n)= {0,1} is equivalent to the subset (sf) of (n) , this condition is met if n belongs to the subset (sf) when f(n) = 1

hence The power set of (n) is uncountable and is equivalent to the set of real numbers given

since the set of functions expressed are uncountable and they are a subset of real numbers starting from N therefore the set {0,1,2,3,4,5,6,7,8,9} is uncountable as well as its offfunctions

Answer:

113.35

Step-by-step explanation:

So, if each case had 24 water bottles, and there were 6 cases, the total number of water bottles were:

24*6 = 144

Answer:

The answer is below

Step-by-step explanation:

Let us assume that each box represent 1 unit. Therefore we can get the coordinate of G and H. From the graph, the coordinate of G is (-2, -3) while the coordinate of H is at (0, 3).

The distance between two points A(\(x_1,y_1\)) and B(\(x_2,y_2\)) on the coordinate plane is:

\(|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The distance between G(-2, -3) and H(0, 3) is:

\(|GH|=\sqrt{(0-(-2))^2+(3-(-3))^2}=\sqrt{4+36}=\sqrt{40}\\ \\|GH|=6.325\ units\)

Using the distance formula, GH = 6.3 units.

Given the coordinates of two points on a coordinate plane, the formula for finding the distance between them is: \(d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\)

Given:

Plug in the values into the distance formula:

\(GH = \sqrt{(-3 - 3)^2 + (-2 - 0)^2} \\\\GH = \sqrt{36 + 4} \\\\GH = 6.3\)

Therefore, using the distance formula, GH = 6.3 units.

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The probability of selecting an ace or a red card from a deck of cards is 7/13.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Let Deck of cards = 52

Ace (A) = 4/52

Red Card (R) = 26/52

Ace and Red Card (A and R) = 2/52

P (A or R) = P (A) + P (R) - P (A and R)

P (A or R) = 4/52 + 26/52 - 2/52

P (A or R) =  30/52 - 2/52

P (A or R) = 28/52

P (A or R) = 7/13

Hence, the probability of selecting an ace or a red card from a deck of cards is 7/13.

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Option a: Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price

Given,

Braxton’s average monthly usage of lotion = 8 ounces

The amount of two different brands of lotion are given:

Brand A: 24 ounces for $3.30

Brand B: 40 ounces for $4.60

We have to find the monthly savings of Braxton if he purchases the brand that has the lowest price per ounce versus the highest price:

We have to calculate amount for one ounce for the two brands given:

Brand A:

24 ounces for $3.30

Amount for one ounce = 3.30/24

Amount for one ounce = $0.1375

Brand B:

40 ounces for $4.60

Amount for one ounce = 4.60/40

Amount for one ounce = $0.115

Now, we have to calculate the amount for 8 ounces.

Brand A:

8 x 0.1375 = 1.1

$1.1 for 8 ounces of Brand A lotion.

Brand B:

8 x 0.115 = 0.92

$0.92 for 8 ounces of Brand B lotion.

Now, we have to calculate the savings:

Brand A – Brand B

1.1 – 0.92 = 0.18

That is, Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price.

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Answer:

1/128

Step-by-step explanation:

use formula: an = a1 × r ^ n-1

a1 = 4

r = 0.5

n = 10

a10 = 1/128

Answer:

A is the answer because the -T is right at 0

Answer: (1.5, 1.2) are the coordinates and the distance is 4 graph across the paper.

Step-by-step explanation:

If you reflect it across the x-axis you get two positives and no negative becouse in a graph paper there are four diffrent groups your nswer is on the top right side.

Answer:

10, 5+5=10

correct answer would be 10

Answer: 1.5 less than 15 is divided by a number d.

Step-by-step explanation:

Answer:

0.285714285 nearest thousandth

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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As We can see that point J is on (-2,5) and L is on (-2,-2)

So we know that distance cannot be in negative, thus

Distance between J and L =5+2=7 units

JL=7

9514 1404 393

Answer:

  B, D, E

Step-by-step explanation:

Any of the following will put rectangle 1 on top of rectangle 2:

Answer:

66

Step-by-step explanation:

Let's say the number is x

5/6x = 55

Divide by 5 on both sides

1/6x = 11

Multiply by 6 on both sides to get rid of 1/6

x = 66

Answer:

Pretty sure its either 1 or 2

Step-by-step explanation: CUZZZZ IM BUILT DIFFERENTLY

Answer:

After population (A) = 62,902 (Approx)

Step-by-step explanation:

Given:

Current population (P) = 19613

Number of years (n) = 2020 - 2000 = 20 year

Rate of growth (r) = 6% = 0.06

Find:

After population (A)

Computation:

\(After\ population (A) = Current\ population (P)[1+r]^n \\\\After\ population (A) = 19613[1+0.06]^{20} \\\\After\ population (A) = 19613[1.06]^{20} \\\\After\ population (A) = 62,901.548\)

Answer:

14 pots

Step-by-step explanation:

if teacher pours 1/18 in each pot and there was 7/9 buckets in total, 9 fits into 18 twice so just 7X2 =14 and 9X2=18 so 14 pots were watered

hope this helps

Answer:

x=-3, y = 4/9

Step-by-step explanation:

This is in equation form.

The denominator of the fraction at point Y is equal to 24.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

Let the variable d represent the denominator of the fraction at point Y and since point Y is the same distance from 0 as point X, which is at 2/3 on a number line, this can be modeled by this mathematical expression:

8/d = 1 - 2/3

8/d = 1/3

Cross-multiplying, we have:

d = 8 × 3

d = 24.

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The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005

He runs the 100 meters dash in 19.305 seconds.

Therefore, the seconds he runs the race can be represented in expanded form as follows:

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

Therefore,

19.305 in expanded form is as follows:

19.305 = 10 + 9 + 0.3 + 0.00 + 0.005

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Answer:

39.15

Step-by-step explanation:

: 29% = 29/100 = 0.29

$135.00 x .29 = $39.15  

Answer:

She spent 39.15 dollars on the dress.

Step-by-step explanation: