If a quadratic function has a positive "a" value, then the graph will have a​

⟶ 2³ × 3² is the prime factorization for which one of these choices?

Let's check,

1) 6 = 3 × 2 [So, obviously not this choice]

2) 25 = 5 × 5 = 5² [Not this either]

3) 36 = 3 × 2 × 2 × 3 = 3² × 2² [Doesn't match with 2³ × 3²]

4) 72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3² [Matches]

⟶ The answer is, choice 72.

\(\underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}\)

If the amount Susan purchased municipal bonds yielding annually and certificates of deposit yielding 11%, the money invested in bonds will be  $4,811

Amount invested in the certificate will be expressed as  $22,730 - $4,811

= $17,919

Correct question:

Correct question:Susan purchased municipal bonds yielding 8% annually and certificates of deposit yielding 11% annually. If Susan's investments amounted to $22,730 and the annual income is $2355.97, how much money is invested in bonds, and how much money is invested in certificates of deposit?

Let the amount invested in municipal bond be P₁

Let the amount invested in the certificate be P₂

If Susan's investments amounted to $22,730, then;

P₁ + P₂ = 22730 .......................1

Also, if the annual income on both investments is  $2355.97, hence;

I₁ + I₂ =  2355.97 ,.....................2

The formula for calculating the interest is expressed as:

\(I=\frac{PRT}{100}\)

Hence the individual interest can be calculated as;

\(I_1=P_1R_1T\\I_2 = P_2R_2T\)

From equation 2;

I₁ = 2355.97 - I₂

2355.97 - I₂ = P₁R₁T

I₂ = 2355.97 - P₁R₁T .................3

Similarly from equation 1;

P₂ = 22730 - P₁

I₂ = (22730 - P₁) R₂T .................4

Equating 3 and 4

2355.97 - P₁R₁T =  (22730 - P₁) R₂T

Since R₁ = 8 and R₂ = 11

2355.97 - 0.08P₁T =  (22730 - P₁) 0.11T

2355.97 - 8P₁T = 2,500.3T - 11P₁T

Since T = 1year, hence:

2355.97 - 0.08P₁ =2,500.3 - 0.11P₁

- 0.08P₁ + 0.11P₁ = 2,500.3 - 2355.97

0.03P₁ = 144.33

P₁ = 144.33/0.03

P₁ = $4,811

The amount of money invested in bonds will be  $4,811

Amount invested in certificate will be expressed as  $22,730 - $4,811

= $17,919

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it is given that,

the distance cover by may is 6 3/4 miles = 27/4 miles,

and fot noah , 4 1/2 miles = 9/2 miles,

so, the relation between the both rides is,

take ratio

thus, Noah's bike ride was2/3 times of Mays bike ride ​

and

thus, the answer is Mays bike ride was 3/2 times of noah's bike ride.

Answer:

Step-by-step explanation:

a2 = -2

a + d  =  -2

a + 6d = 7

-5d  =  -9

d  =  9/5

a = -19/5

an  =  a + ( n-1 ) d

an =  -19/5 + ( n-1 ) 9/5

In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).

We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

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Answer:

2.2224194e+13

Step-by-step explanation:

the coordinates of point c is (9/2, -3/2)

The original coordinate = C(6, -2)

scale factor r =3/4

New coordinate (c) = scale factor × the original coordinate

c = 3/4(6, -2)

c = (3/4×6, -2×3/4)

c = (18/4, -6/4)

c = (9/2, -3/2)

Hence, the coordinates of point c is (9/2, -3/2)

Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

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y = -2x - 4

compare with y = mx + c

m = slope, c constant

so, slope m = -2

for graph,

y = - 2x - 4

put x = 0 so,the point is (0, -4)

y = -4

x = 1

y = -2(1) - 4

y = -2 - 4

y = -6 (1,60)

put x = 2 (2, -12)

y = -2(4) - 4

y = -8 -4

y = -12

NOw we can say that we point to draw, so now you draw the points on your graph, thank you

Answer:

-7/9

Step-by-step explanation:

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 6-13)/(10-1)

    = -7/9

The given equation is

The equation is slope-intercept form

Where the coefficient m is the slope.

The time interval over which time series data are collected is called the "frequency" or "sampling frequency."

It refers to the regularity with which data points are recorded or measured over time. Common time intervals used in time series analysis include monthly, yearly, quarterly, daily, hourly, and even finer intervals such as minutes or seconds.

The choice of frequency depends on the nature of the data and the specific analysis objectives.

Longer intervals, such as yearly or quarterly, are often employed for macroeconomic indicators and financial data, where trends and patterns are observed over longer periods.

Monthly or daily intervals are commonly used for analyzing sales, stock prices, weather data, and other variables that exhibit shorter-term fluctuations.

The frequency of data collection impacts the level of detail and granularity in the analysis.

Higher frequencies allow for more precise insights into short-term variations and capturing intra-day or intra-month patterns. However, they may also introduce noise or irrelevant fluctuations.

Lower frequencies provide a broader overview and help identify long-term trends but might miss out on short-term dynamics.

Overall, selecting an appropriate time interval or frequency is crucial in time series analysis to ensure meaningful interpretation and accurate modeling of the underlying patterns and relationships in the data.

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Answer:

7.1437 is greater

Step-by-step explanation:

Answer:

7.133 < 7.1437

Step-by-step explanation:

Line up the numbers till you find one that is greater

Answer:

A is 2,8 and b is 2,3

asked my teacher

Step-by-step explanation:

Answer:

A

Step-by-step explanation

B. is slope intercept formula

Answer:

10 is subtracted from a third of a number is greater than 22

Step-by-step explanation:

1/3n-10>22​

you subtract 10 from 1/3n

1/3 - 10 is greater than 22

so:

10 is subtracted from a third of a number is greater than 22

There will be 221 highway signs on the road trip.

What is Total Length?

Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).

The total length of the road trip is 13.2 hours.

Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:

(number of signs) = (total length of road trip) / (interval between signs) + 1

Substituting the values, we get:

(number of signs) = 13.2 / 0.06 + 1

(number of signs) = 220 + 1

(number of signs) = 221

Therefore, there will be 221 highway signs on the road trip.

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Answer: A on EDG 2020

Step-by-step explanation:

Answer:

A

Just took the test

Step-by-step explanation:

The ratio of protonated/deprotonated acetic acid at the given pH is:

Therefore, the ratio of protonated/deprotonated acetic acid at the given pH is:

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Answer and Step-by-step explanation:

When angle 1 is contrary to angle 2 the adjacent sides are parallel or identical instead. The diagonal from 1 is completely consistent with the other 2nd angle by different outward.

ASA produces two strong or contrugent triangles on the diagonal if both angle 1 and 2 are opposing one another.

Therefore ABCD is a parallelogram

The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

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The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

Answer:

151200 possible combinations

Step-by-step explanation:

There are 10 digits 0 - 9  ( 0,1,2,3,4,5,6,7,8,9)

There are 10 choices for the first digit

10

There are 9 choices for the second digit

9

There are 8 choices for the third digit

8

and so on  since we can only use each digit once

10 *9*8 *7 *6*5

151200 possible combinations

Answer:192 cookies

Step-by-step explanation:

8•24=192

Solution:

Given:

A word problem.

To solve the question, we develop the statements into mathematical equations.

Hence,

Let the two numbers be represented by x and y

where;

x is one number

y is another number

Solving both equations generated simultaneously, using the elimination method, we subtract equation (1) from equation (2).

That is equation (2) - equation (1);

Substituting the value of y gotten into equation (2) to solve for x,

Hence, the solution to the equations is;

Therefore, the numbers are 10 and 4.

The product of the two matrices Q₁Q₂ is orthogonal

In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. ... {\displaystyle Q^{\mathrm {T} }Q=QQ^{\mathrm {T} }=I,} where QT is the transpose of Q and I is the identity matrix.

It is said to be an orthogonal matrix if its transpose is equal to its inverse matrix, or when the product of a square matrix and its transpose gives an identity matrix of the same order.

If A is an n*n orthogonal matric, then A*A¹ = A¹*A

Therefore A*A¹ = A¹*A  = 1

This implies that the product Q₁O₂ is orthogonal.

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Answer:

22 hours

Step-by-step explanation:

0.5 km in 1 hr

1 km in 2 hr

11 km in 22 hr

If lava has flow-speed of 0.5 kilometer per hour, then the time required to reach the sea is 22 hours.

In order to calculate how long it takes for the lava to reach the sea, we use the formula: time = (distance)/(speed),

We know that the lava flow speed is 0.5 kilometers per hour and the distance to the sea is 11 kilometers:

The formula is : Time = (Distance)/(Speed), Substituting the values,

We get,

Time = (11 km)/(0.5 km/h),

Time = 22 hours;

Therefore, It takes approximately 22 hours for the lava to flow through the tube system and reach the sea.

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Answer:

8/12

Step-by-step explanation:

1 4/12 + 8/12 = 2

4/12 + 8/12 = 1

1 + 1 = 2

AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.

What is triangle?

A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.

Since we have:

∠A ≅ ∠Y

∠B ≅ ∠X

∠C ≅ ∠Z

We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.

Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:

AB : YX = BC : XZ = AC : YZ

where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.

In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.

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