Suppose that the functions fand g are defined as follows.
f(x)=2x-1
g(x)=√3x-5

Answer:

Surface area is also 384.

Step-by-step explanation:

A = 12 × 12 + 12 × √(12/2)² + 8² + 12 × √(12/2)² + 8² = 384

The probability of getting at least 7 questions correct on this test is 0.08665%.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of getting an answer right is 1/5, while the probability of getting it wrong is 4/5. Therefore, the probability of getting at least 7 questions correct on this test is,

P(X≥7) = P(X=7) + P(X = 8) + P(X=9) + P(X = 10)

= ¹⁰C₇ (1/5)⁷ (4/5)³ + ¹⁰C₈ (1/5)⁸ (4/5)² + ¹⁰C₉ (1/5)⁹ (4/5)¹ + ¹⁰C₁₀(1/5)¹⁰(4/5)⁰

= 0.0007886 + 0.000073728+ 0.000004096 + 0.0000001024

= 0.0008665264

= 0.08665%

Hence, the probability of getting at least 7 questions correct on this test is 0.08665%.

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Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.

Jenny can run 100 yards in 25 seconds . so, since there are 3 feet in each yard, we can convert 100 yards into feet by multiplying this number by 3:

300 feet in 25 seconds

which gives us the following rate:

300 feet/ 25 sec = 12 ft/sec That is 12 feet per second.

Jenny could run 12 feet in one second.

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Answer:

D

Step-by-step explanation:

answer is on the photo

The equation of the parallel line will be y = (2/3)x - 8/3.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The equation of the line is given below.

y - 4 = 2/3 (x - 3)

The equation of the line that is parallel to the given line will be written as,

y = (2/3)x + c

The equation of the line that passes through (1, -2), then we have

- 2= (2/3)(1) + c

- 2 = 2 /3 + c

c = - 8 / 3

Then the equation of the parallel line will be y = (2/3)x - 8/3.

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Answer:

I guess it is 180

Step-by-step explanation:

have a good day!

A triangle on a sphere could have 220 degrees. Therefore, the correct option is option B among all the given options.

This spherical triangle is indeed a shape created on a sphere's surface by three.  The spherical triangle is indeed a shape created on a sphere's surface by three large circular arcs coming together pairwise at its three vertices.

The spherical triangle, which is frequently referred to as an Euler triangle when three of its vertices are intersected pairwise by circular arcs, is the spherical equivalent of the planar triangle. The spherical triangle, also known as an Euler triangle, is the spherical equivalent of the planar triangle. A triangle on a sphere could have 220 degrees.

Therefore, the correct option is option B.

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Answer:

127 degrees

Step-by-step explanation:

112+133+128+100+120+x = 720

593 + x = 720

x = 720 - 593

x = 127

The statement that there is $2.875 increase for each increase in unit of rose in the bouquet is true that tells about the relationship of price to number of roses per bouquet.

Given that a 12-rose bouquet costs $42, and a 20-rose bouquet costs$65.

We are required to make a  statement about the relationship of price to number of roses per bouquet which is true.

If we observe each value then the coordinates will be (12,42) and (20,65).

Slope=(65-42/20-12)

=23/8

=2.875

Hence the statement that there is $2.875 increase for each increase in unit of rose in the bouquet is true that tells about the relationship of price to number of roses per bouquet.

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Answer:

10,000.

Step-by-step explanation:

The solution is, Total assets is 164754.

Assets are resources controlled by the entity as a result of past events and from which future economic benefits are expected to flow to the entity (AAA).

here, we have,

we know,

Mortgage is recorded separated by the home and is treated as liability

Loan & Auto loan are also liabilities of Matthew

Credit cards balances are only his indication of capacity to buy which is if that happens said transaction would result into an obligation of Matthew to pay or simply his liability

we have,

Based on the data given, assets is computed as follows;

Cash (checking account)= 2000

Cash (savings account)= 10000

Home =120000

Investments =12789

Car= 19965

Total assets is = 164754

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complete question:

Matthew currently has $2,000 in his checking account and $10,000 in a savings account. He owns a home worth $120,000 and he owes $75,900 on his mortgage. His investments in a 401(k) are valued at $12,789. He owes $29,526 on his student loans and just bought a new car. The car is currently valued at $19,965. His auto loan balance is $19,156. He is carrying a balance on two credit cards that adds up to $5,234. What is the value of Matthew's total assets? (Do not include the $ sign or commas in your answer).

Answer:

0.90

Step-by-step explanation:

Hope this Helps!!

Answer:

44%

Step-by-step explanation:

60%-16% the answer is up ahead.

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

The height of the heater is about 89.3 in.

You can solve this problem with the Pythagorean Theorem. The base is a square. So half way across the middle will the right under the tip of the pyramid. We can use the measurement with the slant height to write and solve the equation below.

23.8^2 + x^2 = 90.1^2

x will be about 89.3.

Mark brainliest please if the answer is correct

Additive inverse property of real numbers was used to transition from step 3 to step 4

The property of real numbers used to transition from Step 3 to Step 4 is the additive inverse property or the property of adding the opposite. The additive inverse property states that for any real number a, there exists an additive inverse -a, such that a + (-a) = 0. In other words, adding the opposite of a number results in the sum being zero.

In Step 3 of the given expression, we have "12 + (-12) + 6x." Notice that "-12" is the opposite of "12." To simplify this expression further, we can apply the additive inverse property by combining the positive and negative numbers.

Adding 12 and its additive inverse (-12) results in 0, according to the additive inverse property. So, in Step 4, we replace "12 + (-12)" with "0." By applying the additive inverse property, the expression simplifies to "0 + 6x," which can be further simplified to just "6x."

The use of the additive inverse property is crucial in algebraic simplifications as it allows us to eliminate terms that add up to zero. This property helps streamline calculations and reduce complex expressions to simpler forms.

Overall, the transition from Step 3 to Step 4 in the given expression utilizes the additive inverse property to eliminate the sum of opposite numbers and simplify the expression to its final form, which is "6x."

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The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

8

Step-by-step explanation:

2^3 is the same as 2 x 2 x 2

2 x 2 is 4 and 4 x 2 is 8

so 2^3 is 8

Answer:

8

Step-by-step explanation:

The equation of the function is the graph of line.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The function is given below.

f(x) = (3/4)x – 2

The function is an equation of line.

The graph of the function is given below.

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The expected value of buying a box without a coupon is 37.5

Probability of picking a box with a coupon = 1/4

Therefore, the probability of picking a box without a coupon would be :

The expected value of buying a box without a coupon is (3/4 * 50) = 37.5

Therefore, the expected value is 37.5

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Answer:

Step-by-step explanation:

length of white rectangle= 150cm = 1.5m

width of white triangle = 6 - (2 + 3) = 1m

the total area of the front of her house

= area of rectangle + area of trapezium -area of white rectangle

= (4 x 6) + ( \(\frac{4+6}{2}\) x 1) - ( 1.5 - 1)

= 12 + 4 - 0.5

= 15.5 m²

1 can of paint covers an area of 6m²

4 can of paint = 6 x 4 = 24m²

previously, we calculated that the area of the front of her house is 15.5m². Therefore, 4 cans of paint is enough.

Step-by-step explanation:

everything can be found in the picture

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Answer:

5/9

Step-by-step explanation:

Multiply the numerators 2 and 5 to get 10|
Multiply the denominators 3 and 6 to get 18

10/18 simplifies to 5/9

Answer:

• The total amount is $2809.86.

• The compounded interest is $809.86.

Explanation:

At compound interest, the amount in the account after t years is calculated using the formula below:

Substituting the given values:

The total amount is $2809.86.

Next, we find the compounded interest.

The compounded interest is $809.86.

Answer:

w=3 1\4

Step-by-step explanation:

A=LxW

a=14 1\12

l=4 1\3

w=?

14 1\12=4 1\3 x w

14 1\12 divided by 4 1\3=13\4=3 1\4

w=3 1\4

Answer:

Your answer would be 26.64cm.

A step-by-step explanation for you, peabrain:

For all four sides:

1.8cm x 2.7cm = 4.86cm

4.8cm x 4 sides = 19.44cm

For the top and bottom:

1.8cm x 1.8cm = 3.6

3.6cm x 2 sides = 7.2cm

For the complete LSA (lateral surface area):

19.44 + 7.2cm = 26.64cm

Do not forget to round, if that is in your homework instructions :-)!

Answer:

Solution given;

l=1.8cm

b=1.8cm

h=2.7cm

now

lateral surface area =2(lb+lh+bh )

=2( 1.8*1.8+1.8*2.7+1.8*2.7)

=25.92cm² is a required answer.

Step-by-step explanation:

what is -0.2 + 9 ?

it is 8.8.

and in the same way -0.2x + 9x = 8.8x.

therefore, the simplified expression is

8.8x - 14