The ordered pairs model an exponential function, where w is the function name and t is the input variable.

{(1,60),(2,240),(3,960),(4,3840)}

What is the function equation in sequence notation?

wt=

By applying the distributive property of multiplication, this mathematical expression can be rewritten as -3(-4x + 5) = 12x - 15.

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

Mathematically, the distributive property of multiplication can be represented by this mathematical expression:

a(b + c) = ab + ac.

By applying the distributive property of multiplication to the given mathematical expression, we have the following:

-3(-4x + 5) = -3(-4x) + [-3(5)]

-3(-4x + 5) = 12x - 15.

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Answer:

(2−1)(3+2)

Step-by-step explanation:

Rewrite in product form

2x(3x+2) - 1(3x+2)

(2x-1) (3x+2)

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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Answer:

A

Step-by-step explanation:

y=f(x)

when x=3

f(3)=y=0

so A

Answer:

The probability of a correct guess on the first try is 0.024%.

Since a thief steals an atm card and must randomly guess the correct four -digit pin code from a 8 -key keypad, and repetition of digits is allowed, to determine what is the probability of a correct guess on the first try the following calculation must be performed:

8 x 8 x 8 x 8 = X

8 ^ 4 = X

4096 = X

1/4096 = X

0.000244140625 = X

0.000244140625 x 100 = 0.024%

Therefore, the probability of a correct guess on the first try is 0.024%

Step-by-step explanation:

An explicit description of Nul A is given by the set of vectors {[0, 0, 1, 0], [0, 0, 0, 1]}.

What is the explicit description of a null space matrix?

To find an explicit description of the null space of matrix A, we can find a spanning set of vectors that span the null space.

The null space of matrix A, denoted Nul A, is the set of all vectors x that satisfy the equation Ax = 0. In other words, the null space consists of all vectors that are mapped to the zero vector by the matrix A.

To find a spanning set for Nul A, we can use the following steps:

Row reduces the matrix A to a reduced row-echelon form using elementary row operations.

Identify the free variables in the row-reduced matrix.

For each free variable, create a vector with a 1 in the position corresponding to the free variable and 0's in all other positions.

The set of vectors created in step 3 form a spanning set for Nul A.

For example, consider the matrix A = [1, 2, 3, 0; 0, 0, 1, 0]. To find a spanning set for Nul A, we can row reduce the matrix to reduced row-echelon form:

[1, 2, 3, 0] -> [1, 2, 3, 0]

[0, 0, 1, 0] -> [0, 0, 1, 0]

The matrix is already in reduced row-echelon form, so there are no more elementary row operations to perform. The free variables in this matrix are the third and fourth columns, which correspond to the variables x3 and x4, respectively. Therefore, we can create the following vectors:

x3 = [0, 0, 1, 0]

x4 = [0, 0, 0, 1]

These vectors form a spanning set for Nul A, as they are linearly independent and span the null space.

Hence, an explicit description of Nul A is given by the set of vectors {[0, 0, 1, 0], [0, 0, 0, 1]}.

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The most likely reason that Sora lists the activities of customers going through self-checkout is to prove the claim that self-checkout is eliminating jobs.

By observing and documenting the activities of customers using self-checkout, Sora may be gathering evidence to support the argument that self-checkout systems are replacing the need for human cashiers and leading to job loss in the retail industry.

By highlighting the tasks that customers can now perform independently, Sora may be emphasizing the efficiency and convenience of self-checkout systems, which can potentially lead to the reduction of cashier positions.

It's important to note that without more context, we cannot definitively determine Sora's exact intentions or motivations. However, based on the given options and the mention of activities related to self-checkout, the claim that self-checkout is eliminating jobs appears to be the most plausible reason for listing the activities of customers going through self-checkout.

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Answer:

Shown from the explanation below..

Step-by-step explanation:

From the graph, it's a graph with a vertex hence its a quadratic equation without

When g(X)=2; x=0

F(4) =-10; from x=4 on the graph of f(x)

The required value of f(4) = -10, value of function evaluated from the graph.

A graph has been shown of f(x) and g(x).
g(x) = 2 is given and f(4) is to determine with the help of the graph.

The graph is a demonstration of curves  which gives the relationship between x and y axis.

The graph has been shown to find the value of f(x) coordinates located on the curve for every x on the number line of the x-axis.
In manner to locate f(4) draw the verticle from x = 4 the intersect at cover f(x)(yellow point). Now, draw the horizontal line from the yellow mark the line intersects at y = -10 on the y axis. i.e.
f(4) = -10

Thus, the required value of f(4) = -10, value of function evaluated from the graph.

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Answer:

1/8

Step-by-step explanation:

You must divide by common multipliers. so you can first divide the numerator and denominator by 10, which would make it 6/48, and then do that again with 6. Which then would give you the answer of 1/8.

Answer:

Step-by-step explanation:

itd B

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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w + 2 = x

x + 2 = y

Cross multiply

y(w+2) = x(x+2)

wy + 2y = x^2 + 2x

make x the subject of the equation

x = y - 2

substitute this in place of (x) in 2x

wy + 2y = x^2 + 2(y-2)

wy + 2y = x^2 + 2y - 4

wy  + 2y - 2y + 4 = x^2

wy + 4 = x^2

Not all intersecting lines are perpendicular.

Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.

Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.

As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.

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The slope of the line passing through the points (5, 3) and (8, 2) is -1/3.

To find the slope of the line passing through the points (5, 3) and (8, 2), we can use the formula for slope:

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

Let's substitute the coordinates of the given points into the formula:

x1 = 5, y1 = 3

x2 = 8, y2 = 2

slope = (2 - 3) / (8 - 5)

Calculating the numerator and denominator:

slope = -1 / 3

Therefore, the slope of the line passing through the points (5, 3) and (8, 2) is -1/3.

Note: The slope represents the rate of change between the y-coordinates and x-coordinates of two points on a line. In this case, for every 3 units increase in the x-coordinate, the y-coordinate decreases by 1 unit.

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Answer: 47.5 cm^2

Step-by-step explanation:

Tony's mistake is that he added the area of the rectangle and triangle. Instead you should subtract the area of the triangle from the rectangle.

1. The area of the rectangle is 5*11 = 55 cm^2

2. The area of the nonshaded triangle is 5*3*(1/2) = 7.5 cm^2

3. The area of the shaded region is the area of the rectangle minus the area of the triangle. This equals 55 - 7.5 cm^2 = 47.5 cm^2

Answer:

Leah, Reba, Alexis, Kari

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

  (a)  ∠ACE≅∠BCD

Step-by-step explanation:

You want to know the missing statement in the proof that goes with reason "Reflexive Property."

You are proving two triangles are similar by showing two corresponding angles are congruent. Corresponding angles in the two triangles are ...

The proof already shows AEC is congruent to BDC in statement 3.

The reflexive property says an angle is congruent to itself. Looking at the list of corresponding angles, the only angle that corresponds to itself is angle C, which can be named ∠ACE or ∠BCD.

The appropriate choice is ...

  ∠ACE≅∠BCD . . . . Reflexive property

<95141404393>

The missing statement in step 4 should be:ZACE = ZBCD

This statement is missing from the proof and should be included to establish the congruence between the angles in the two triangles.Let's go through the proof step by step and explain each statement and reason.

Given:

AE = EC; BD = DC

AEI = EC; BD = DC

Reason: Given

ZAEC is a right angle; ZBDC is a right angle

Reason: Definition of a right angle. This statement indicates that angle ZAEC and angle ZBDC are both right angles.

ZAEC ≅ ZBDC

Reason: All right angles are congruent. This statement asserts that angle ZAEC and angle ZBDC are congruent (have the same measure) because they are both right angles.

[Missing Statement]

Reason: Reflexive property. This statement is missing in the proof and should be included. The reflexive property states that any angle is congruent to itself. In this case, it implies that angle ZAEC is congruent to angle ZAEC.

AAEC ≅ ABDC

Reason: AA similarity theorem. This statement indicates that triangle AAEC is congruent to triangle ABDC. The AA similarity theorem states that if two pairs of corresponding angles in two triangles are congruent, then the triangles are similar.

So, to complete the proof, the missing statement in step 4 should be:

ZACE = ZBCD

Reason: Reflexive property. This statement establishes that angle ZACE is congruent to angle ZBCD, based on the reflexive property.

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Answer:

NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.

AB = EF, BC = FG, AC = EG

Step-by-step explanation:

According to the SSS Congruence statement, for ∆ABC to be congruent to ∆EFG, all the sides of ∆ABC must be congruent to all the corresponding sides of ∆EFG.

This means that:

AB must be congruent to EF

BC must be congruent to FG

AC must be congruent to EG

Therefore, additional information is needed to prove that triangles ABC and EFG are congruent by the SSS triangle congruence theorem are:

AB = EF, BC = FG, AC = EG

NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.

Answer:

4 *4 = 16

16 * 5555 = 88880

88880 * 8999989 = 799919022320

Brainliest :D

Step-by-step explanation:

Answer:

49994938911

Step-by-step explanation:

(4times4)(5555times8999989)

Answer:

it's answer is D. 33°

Let the unknown angle be x Then.

x + 100° + 47° = 180° [ being sum of angles of triangle ]

x + 147° = 180°

x = 180° - 147°

x = 33°

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

The difference between 4 and 1 is 3.

The difference between 9 and 3 is 5.

The difference between 16 and 9 is 7.  

So the difference between  the next number and 16 should be the next odd number which is 9

25 - 16 = 9

Helping in the name of Jesus.

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Let's call x to the original price.

Given that Mason used a 30% coupon, then he paid 0.3x dollars less.

After the discount, the cost of the computer was $728, then

x - 0.3x = 728

0.7x = 728

x = 728/0.7

x = 1040

The original price of the computer was $1040

Mason saves 30% of $1040, which is computed as follows:

Mason saves $312