The function f(x)=-a^x +4
will never cross the xaxis if a is positive.
OA. True
OB. False

59 percent of the customers at Pizza Palooza order a square pizza, 78 percent order a soft drink, and 34 percent order both.The ordering  at Pizza Palooza is not independent.

To determine if two events are independent, we compare the joint probability of both events occurring with the product of their individual probabilities. If the joint probability equals the product of the individual probabilities, the events are considered independent.

In this case, we know that 59 percent of customers order a square pizza (event A) and 78 percent order a soft drink (event B). However, the given information also states that 34 percent of customers order both a square pizza and a soft drink.

To test independence, we calculate the joint probability of ordering both a square pizza and a soft drink. The joint probability is 34 percent, which is not equal to the product of the individual probabilities (59 percent * 78 percent = 46.02 percent).

Since the joint probability is not equal to the product of the individual probabilities, we can conclude that ordering a soft drink is not independent of ordering a square pizza at Pizza Palooza. The occurrence of one event affects the likelihood of the other event happening.

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Answer:

x=5

Step-by-step explanation:

7x-5=4x+10

3x-5=10

3x=15

x=5

Answer:

The area of B is 8 cm²

Step-by-step explanation:

From the diagram, we can tell that the scale factor is 2 because the length of A is 6 cm and the length of B is 12 cm so the scale factor is 2. Since diagram A's area is 4 cm², all we need to do is multiply the diagram A's area by 2. That gives diagram B's area which is 8 cm²

n=(K+1)^3 the remainder when the positive integer n is divided by the positive integer k, where k > 1

What is Remainder?

The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remaining is the name for this amount.

For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.

As a result, 10 3 3 R 1, where 1 is the remainder and 3 is the quotient.

As we are aware:
Dividend: Divisor x Quotient + Remainder
Therefore,
Dividend - Remainder (Divisor x Quotient)
The formula for the remainder is as follows.

\(n=(k+1)^3\\\\=k^3+3k^2+3k+1\\\\=k(k^2+3k+3)+1=(k+1)^3\\\\=k^3+3k^2+3k+1=k(k2+3k+3)+1 \\\\\)

\(k(k^2+3k+3)\) is clearly divisible by k, because 1 divided by k gives 1 as the result (since k > 1).

The remainder will be n= (K+1)^3

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Answer:

which ones do you need answered

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

First the 9

Then the 5:

The answer is x = 65 (option C)

Answer:

The percent decrease is 36%.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(14)

tan F = \(\frac{opposite}{adjacent}\) = \(\frac{GH}{FH}\) = \(\frac{12}{5}\)

(15)

sin G = \(\frac{opposite}{hypotenuse}\) = \(\frac{FH}{FG}\) = \(\frac{5}{13}\)

Answer: 2.5

Step-by-step explanation:

\(1 \times 3=3\\\\3-\frac{1}{2}=2.5\)

Answer:

english pls

Step-by-step explanation:

Hello!

· {3x + y = 2 · {y = 2 - 3x

· {2y + 6x = 4 · {2(2 - 3x) + 6x = 4

· {y = 2 - 3x · {y = 2 - 3x

· {4 - 6x + 6x = 4 · {4 - 12x = 4

· {y = 2 - 3x · {y = 2 - 3x

· {12x = 4 + 4 · {12x = 8

· {y = 2 - 3x · {y = 2 - 3 • 8/12

· {x = 8/12 · {x = 8/12

· {y = 2 - 2 · {y = 0

· {x = 8/12 · {x = 8/12

Good luck! :)

Since all the assumptions of Theorem 4.1 are satisfied, we can conclude that y = 0 is the unique solution to the initial value problem.

To show that y = 0 is the unique solution to the initial value problem, we need to use Theorem 4.1.

The assumptions of Theorem 4.1 are as follows:

1. The functions α(x) and β(x) are continuous on the interval [6π, 3π].
2. The initial values y(x0) = 0 and y'(x0) = 0 are given, where x0 is in the interval [6π, 3π].

Now, let's explain why these assumptions are satisfied in this case:

1. The first assumption is satisfied since the problem states that α(x) and β(x) are continuous functions on the interval [6π, 3π]. Therefore, the conditions of the theorem are met.

2. The second assumption is also satisfied because the problem states that y(x0) = 0 and y'(x0) = 0, where x0 is in the interval [6π, 3π].

This means that the initial values are given, and they satisfy the conditions of the theorem.

Therefore, since all the assumptions of Theorem 4.1 are satisfied, we can conclude that y = 0 is the unique solution to the initial value problem.

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(a) The number of ways that the event can occur is 6.

(b) Probabilities are :

1) 1/2, 2) 1/6 and 3) 1/3.

(a) Given a bag of different shapes.

Total number of shapes = 6

So, if we select one shape from random,

total number of ways that the event can occur = 6

(b) Number of squares in the bag = 3

Probability of choosing a square = 3/6 = 1/2

Number of circles in the bag = 1

Probability of choosing a circle = 1/6

Number of stars in the bag = 2

Probability of choosing a star = 2/6 = 1/3

Hence the required probabilities are found.

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A two-column method be that can used to prove that segment QR is parallel to segment PS is presented as follows;

Statement                      \({}\)                 Reasons

1. \(\overline{QP}\) ≅ \(\overline{RS}\)                                     1. Given

2. \(\overline{QP}\) ║ \(\overline{RS}\)   \({}\)                                 2. Given

3. ∠PRQ ≅ ∠RPS \({}\)                          3. Alt. int. angles theorem

∠QPR ≅ ∠PRS    \({}\)                      

4. ∠PRQ = ∠RPS        \({}\)                    4. Definition of congruency

∠QPR = ∠PRS

5. ∠QRS = ∠PRQ + ∠PRS \({}\)            5. Angle addition postulate

∠QPS = ∠QPR + ∠RPS

6. ∠PRQ + ∠PRS = ∠QPR + ∠RPS \({}\) 6. Substitution property

7. ∠QRP = ∠QPS   \({}\)                          7. Transitive property

8. \(\overline{PR}\) ≅ \(\overline{PR}\)             \({}\)  \({}\)                    8. Reflexive property

9. ΔQRP ≅ ΔSPR  \({}\)                        9. ASA congruency rule

10. ∠PQR ≅ ∠PSR  \({}\)                       10. CPCTC

11. ∠PQR = ∠PSR \({}\)                          11. Definition of congruency

12. QRSP is a parallelogram \({}\)       12. Parallelogram opp. int. ∠s theorem

13. \(\overline{QR}\) ║ \(\overline{PS}\)              \({}\)                   13. Properties of a parallelogram

A parallelogram is a quadrilateral that has opposite parallel sides.

The details of the reasons used to prove that the segment \(\overline{QR}\) is parallel to segment \(\overline{PS}\) are as follows;

Alt. int. angles theorem

The alternate interior angles theorem states that the alternate interior angles formed between two parallel lines and their common transversal are congruent

Definition of congruency

Two geometric figures are congruent if they have the same measurements.

Angle addition postulate

The angle addition postulate states that the measure of an angle ∠A, which is formed by two adjacent angles ∠B and ∠C, is the same as the sum of the measures of the two angles, ∠A = ∠B + ∠C

Substitution property

The substitution property of equality states that if a variable, a = another variable, b, a = b, then b can be plugged into expressions and equations to substitute for a and the values of the expressions and sides of equations remain the same.

Transitive property

The transitive property of equality states that if a = b, and b = c, then a = c

Reflexive property

The reflexive property of congruency states that a geometric figure is congruent to its self

ASA congruency rule

The Angle-Side-Angle congruency rule states that if two angles and the included side of one triangle are congruent to the two angles and included side of another triangle, then the two triangles are congruent.

CPCTC

CPCTC is an acronym for Corresponding Parts of Congruent Triangles are Congruent

Parallelogram opp. int. ∠s theorem

The parallelogram opposite interior angles theorem states that the opposite interior angles of a parallelogram are congruent.

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Answer:

2.1

Step-by-step explanation:

This involves trigonometry. Since we need to find the value of a, we need to find a trig equation with a as the numerator. Luckily, we have one, tan. So, tan(20) is equal to a/6, right. So, using a calculator, tan(20) is approximately equal to 0.363. This times 6 should equal a. This is approximately around 2.1. Thus our answer is 2.1

Answer:

-2, -1

Step-by-step explanation:

Answer:

1/4 or .25

Step-by-step explanation:

You cross multiply which would give you 4x=1.

A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.

In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)

Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be

calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.

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Answer:

x = 2.5

Step-by-step explanation:

hypotenuse^2 = side^2 + side^2

(x+4)^2 = x^2 + (6)^2

x^2 + 8x + 16 = x^2 +36

we get,

8x = 36 - 16

x = 20/8

x = 2.5

Answer: 144

Step-by-step explanation:

since the shorter side is 2 cubed inches, the opposite side is the same length. same thing with the longer side, it’s 4 cubed inches, which the opposite side is the same length

so if you take 2 cubed and add it with 2 cubed, you will get 16.

then you take 4 cubed and add it with 4 cubed, and you get 128.

and then finally, you want to add those 2 answers together: so 16 plus 128.

you will get your final answer, which is 144.

Answer:that doesn’t seem possible to figure out

Step-by-step explanation:

?

If the terminal arm of angle \( \theta \) lies in the fourth quadrant, then we can conclude the following about the primary and reciprocal trigonometric ratios:

- The sine of \( \theta \) is negative because the y-coordinate of a point on the terminal arm of \( \theta \) in the fourth quadrant is negative.
- The cosine of \( \theta \) is positive because the x-coordinate of a point on the terminal arm of \( \theta \) in the fourth quadrant is positive.
- The tangent of \( \theta \) is negative because it is the ratio of sine to cosine, and sine is negative while cosine is positive.
- The cosecant of \( \theta \) is negative because it is the reciprocal of sine, which is negative.
- The secant of \( \theta \) is positive because it is the reciprocal of cosine, which is positive.
- The cotangent of \( \theta \) is negative because it is the reciprocal of tangent, which is negative.

In summary, if the terminal arm of angle \( \theta \) lies in the fourth quadrant, then sine and cosecant are negative, cosine and secant are positive, and tangent and cotangent are negative.

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Answer:

380 cups

Step-by-step explanation:

Total cups=160

If 160 cups food lasted for 40 days then

 Food lasted for 1 day=160/40

                                  =4 cups

  Amount of food required for 95 days=95×4

                                                            =380 cups

Answer:

1. 4 cups

2. 380 cups

Step-by-step explanation:

1. 160÷4=4

2. 95×4=380

If the distance to a star was suddenly cut in half, it would appear four times brighter.

The brightness of a star is directly proportional to the inverse square of its distance from us. This means that if the distance to a star is halved, its brightness will increase by a factor of four.

The relationship between brightness and distance can be expressed as follows:

B = k / d^2

where B is the brightness, k is a constant of proportionality, and d is the distance.

If the distance to the star is halved, it can be expressed as:

d' = d / 2

Plugging this into the equation for brightness, we get:

B' = k / (d / 2)^2

Expanding this and simplifying, we get:

B' = 4 * k / d^2

Since k is a constant, it cancels out and we are left with:

B' = 4 * B

This means that if the distance to a star was suddenly cut in half, it would appear four times brighter. In astronomical terms, this is equivalent to an increase of 2 magnitudes on the logarithmic magnitude scale.

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Answer:

use Pythagoras theorem formula   \(C^{2}\) = \(A^{2}\) + \(B^{2}\)

Step-by-step explanation:

\(C^{2}\) =  \(24^{2}\) + \(18^{2}\)

\(C^{2}\)  = 576 + 324

\(C^{2}\) = 900

C = \(\sqrt{900}\)

C = 30

Does that make sense?  :|

Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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Answer:

The answer is 3x + 8.

Step-by-step explanation:

1) Collect like terms.

\(3x + (42 - 34)\)

2) Simplify.

\(3x + 8\)

Hence, the answer is 3x + 8.

The amount of money Kadeesha have in her account after 11 years is $1059.3.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\)

Given that, principal=$900, rate of interest=1.5% and time period =11 years.

Now, amount =900(1+1.5/100)¹¹

= 900(1+0.015)¹¹

= 900(1.015)¹¹

= 900×1.177

= $1059.3

Therefore, the amount of money Kadeesha have in her account after 11 years is $1059.3.

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