. Evaluate: ¼ (6² +3 x 4)+| - 7|

The function into  vertex form is m(d) = -4(d -2 )^2 - 24

Given in the question:

m(d)= - 4d^2 + 16d -40

and, Convert the function into vertex form.

Let's Know:

How do you change a function into vertex form?

m(d) = - 4d^2+16d-40  Convert the function into vertex form.

To convert standard form to vertex form, Convert y = ax2 + bx + c into the form y = a (x - h)2 + k by completing the square. Then y = a (x - h)2 + k is the vertex form.

Come to the solution:

m(d)= - 4d^2 + 16d -40

take out the leading coefficient;

m(d)= - 4(d^2 - 4 x d ) -40

Complete the square

m (d) = - 4(d^2 +(2 x(-2))x d + (-2)^2) + (-40 - (-4 x (-2)^2))

Express the function in vertex form :

m(d) = -4(d -2 )^2 - 24

Hence, The function into  vertex form is m(d) = -4(d -2 )^2 - 24

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Answer:

y=1/2x+2

Step-by-step explanation:

Do you have a specific sample question?

The written form of the mathematical expression as given in the task content; 2 − (p + 6); is; the difference between 2 and the sum of p and 6.

It follows from the task content that the expression given is; 2 − (p + 6).

Since, the expression in the parentheses can be expressed in words as the sum of; p and 6.

Hence, it follows that the whole expression can be expressed as the difference between 2 and the sum of p and 6.

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The type of loan that Brady most likely getting  is option (a) conventional loan

Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.

ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.

VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.

Therefore, the correct option is (a) Conventional loan

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Answer:

The distance between -1,12 and -1,-3 is 15

Step-by-step explanation:

Simplify-

Multiply −1 by −1.

√(−1+1)^2 + ((−3) −12)^2

Add −1 and 1.

√0^2 + ((−3) −12)^2

Raising 0 to any positive power yields 0.

√0 + ((−3) −12)^2

Subtract 12 from −3.

√0 + (−15)^2

Raise −15 to the power of 2.

√0 + 225

Add 0 and 225.

√225

Rewrite 225 as 15^2.

√15^2

Pull terms out from under the radical, assuming positive real numbers.

=15

Answer:

\(t = \dfrac{I}{Pr}\)

Step-by-step explanation:

Given the equation \(I = Prt\):

To solve for \(t\), all we have to do is divide both sides by \(Pr\).

\(\textrm{} \ \, I = Prt\\\overline{Pr} \ \ \ \overline{\: Pr \: }\)

\(t = \dfrac{I}{Pr}\)

Text form:

t = I / Pr

Answer:

\(t= \frac{I}{Pt}\)

Step-by-step explanation:

Given the equation,\(I=Prt\), solve for the value, t.

\(I=Prt\), divide both sides of the equation by \(Pr\). We get,

\(t= \frac{I}{Pr}\), final answer.

The answers to each of the given problems are;

1) Sum of two smallest integers  = 23

2) 3x + 6

3) 7.5 m/s²

1) We are told that sum of 4 consecutive integers is increased by 20 and equals 70. Thus, we have;

x + (x + 1) + (x + 2) + (x + 3) + 20 = 70

4x + 26 = 70

4x = 70 - 26

4x = 44

x = 44/4

x = 11

Thus, sum of two smallest integers = 11 + 11 + 1 = 23

2) Let the consecutive odd numbers be;

x, (x + 2) and (x + 4)

Sum of these consecutive odd numbers is;

x + x + 2 + x + 4 = 3x + 6

3) We are given the equation to find the acceleration as;

(v_final)² - (v_initial)² = 2ad

We are given;

v_final = 40 m/s

v_initial = 10 m/s

d = 100 m

Thus;

40² - 10² = 2a(100)

1500 = 200a

a = 1500/200

a = 7.5 m/s²

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Answer:

5 is a rational number because it can be expressed as 5 upon 1

The measure of arc BC in circle E, inscribed in triangle BCD with angle DBC measuring 51 degrees, is 102°.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Since BD is a diameter, angle DBC is a right angle, and the intercepted arc BC is a semicircle. Therefore, the measure of arc BC is 180°.

However, we are given that angle DBC measures 51 degrees. In an inscribed triangle, the measure of an angle is equal to half the measure of its intercepted arc. So, angle DBC is half the measure of arc BC, which means arc BC measures 2 times angle DBC, or 2 * 51° = 102°.

Hence, the measure of arc BC is 102°.

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Inscribed circle E is formed by triangle BCD, with BD as the diameter. DC and CB are secants, and angle DBC is 51 degrees. We need to find the measure of arc BC.

When a triangle is inscribed in a circle, the measure of an angle formed by two secants that intersect on the circle is half the measure of the intercepted arc.

In this case, angle DBC is 51 degrees, which means the intercepted arc BC has twice that measure. Therefore, the measure of arc BC is 2×51=102 degrees.

To understand why this relationship holds, we can use the Inscribed Angle Theorem. According to this theorem, an angle formed by two chords or secants that intersect on a circle is equal in measure to half the measure of the intercepted arc.

In our scenario, angle DBC is formed by secants DC and CB, and it intersects the circle at arc BC. According to the Inscribed Angle Theorem, angle DBC is equal to half the measure of arc BC.

Hence, if angle DBC is 51 degrees, the measure of arc BC is twice that, which gives us 102 degrees.

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The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.

The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.

Here's the explanation:

From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.

The distribution is not symmetric, as the data points are not evenly spread around a central value.

The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.

Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.

However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.

The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.

It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.

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Answer:

x=10

Step-by-step explanation:

Use the Pythagorean Theorem, which is a^2+b^2=c^2

The formula would lead to:

6^2+8^2=x^2

36+64=x^2

100=x^2

10=x

While the measurement of the individual angles in a triangle can vary depending on the size and shape of the triangle, their sum is always 180 degrees.

This fundamental concept is known as the Triangle Sum Theorem and is true for all types of triangles, including equilateral, isosceles, and scalene. This theorem is essential in geometry and plays a significant role in solving various mathematical problems related to triangles. By knowing the sum of the angles, it is possible to calculate the measurement of one missing angle if the other two are known. Additionally, it helps in proving congruence and similarity of triangles and finding various geometric properties of triangles.

While the measurement of the individual angles in a triangle can vary, their sum is always constant. This constant sum is 180 degrees. This principle is known as the Triangle Sum Property, which states that the three interior angles of any triangle will always add up to 180 degrees, regardless of the triangle's shape or size. To find the sum of the angles, you simply add the three angle measures together. For example, if a triangle has angles of 60, 70, and 50 degrees, the sum would be 60 + 70 + 50 = 180 degrees. This property holds true for all triangles, ensuring that their interior angles always have a constant sum.

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Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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For the purpose of content marketing, the strategies portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.

This is because strategies are the overarching plans that guide the actions and decisions of a content marketing program.

A content marketing strategy defines the target audience, key messages, channels, and metrics for success. It outlines how content will be created, distributed, and measured in order to achieve specific business objectives.

The tactics portion of strategic planning is more focused on the specific actions and initiatives that will be taken to execute the strategy. Tactics might include things like social media campaigns, email marketing, webinars, or video production. While tactics are important, they should always be guided by the overarching strategy in order to ensure that they are aligned with business goals and objectives.

Messages are the specific pieces of content that are created as part of a content marketing program. While messages are important for engaging the audience and driving action, they are not the primary focus of strategic planning. Finally, situational analysis is an important step in the planning process, but it is not specific to content marketing. A situational analysis is a broad assessment of the business environment and competitive landscape, which is used to inform overall business strategy.

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complete question:

For the purpose of content marketing, the ______ portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.A) strategiesB) tacticsC) messagesD) situational analysis

The fraction that satisfies all the given conditions is 6/5.Let's denote the numerator of the fraction as "x" and the denominator as "y".

According to the given information:

1) The fraction is greater than one but less than two, which means x/y > 1 and x/y < 2.

2) The sum of the numerator and denominator is 11, so we have x + y = 11.

3) The denominator subtracted from the numerator is one, which gives us x - y = 1.

We now have a system of two equations with two variables:

Equation 1: x + y = 11

Equation 2: x - y = 1

We can solve this system of equations to find the values of x and y. Adding Equation 1 and Equation 2 together eliminates the variable "y":

(x + y) + (x - y) = 11 + 1

2x = 12

x = 6

Now, substituting the value of x into Equation 1, we can solve for y:

6 + y = 11

y = 11 - 6

y = 5

Therefore, the fraction that satisfies all the given conditions is 6/5.

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Answer:

P is equal to (0, -12/5)

Step-by-step explanation:

In order to find the coordinate P there would have to be a ratio from the bigger triangle to the smaller triangle. If you were to set up a ratio it would probably look something like this \(\frac{-10}{-4}\) to \(\frac{-6}{x}\) because it has to be consistent so if you had a big triangle to small triangle it would be big triangle coordinates to small triangle coordinates. Then you would solve for x which  would be equal to\(\frac{-12}{5}\) and the coordinates would be (0, -12/5) because it is on the y intercept so x would be equal to 0 and y would be equal to the number you just solved for or -12/5. Then if you were to find the ratio it would be -10/-4 or 5/2.

The required area and circumference of circle A are 1,134.57feet² and 119.43 feet.

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

So, the area and circumference of circle A:

d = the circumference of circle B

r = radius of circle A

r = 2d - 3

Diameter of circle A = 2 x (2d - 3) = 4d - 6

By figuring out d, we may find the diameter of circle B.

4d - 6 + d = 49

5d = 55

d = 11

Diameter of circle A = 4(11) - 6 = 38

Radius of circle A = 38/2 = 19 feet

Area of a circle = πr²

22/7 x 19² = 1,134.57 feet²

Circumference of a circle = πD

22/7 X 38 = 119.43feet

Therefore, the required area and circumference of circle A are 1,134.57feet² and 119.43 feet.

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The answer is outlier. a value in a set of data that "lies outside" (is much smaller or greater than) the majority of the other values.

Any figure derived from your sample data is referred to as a sample statistic (or simply a statistic). The sample mean, median, sample SD, and percentiles are a few examples. A statistic is a random variable since it is based on information gained by random sampling, which is a random experiment.

A sample is a statistical term for a population that has been analytically subset. As a result of the usage of samples, investigations may be completed faster and with more manageable data.

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Answer:

1.25 = X

Step-by-step explanation:

5-2x+2=12-4x-2x

Combine all like terms here.

7-2x=12-6x

Add 2x on both sides.

7=12-4x

Subtract 12 on both sides.

-5=-4x

Divide by -4.

1.25=X

Answer:

k=8

Step-by-step explanation:

For 2 lines to be parallel, they must have the same slope. First, let's isolate y.

5y=2x+2

y=2/5x+2/5

Now, in our second equation, we must make it so that the slope is 2/5.

5(4)=20

2(4)=k

k=8

y=8/20x+10

If you simplify that, then the slope will be 2/5.

Answer:

-3 is the correct answer for this problem

Step-by-step explanation:

of course ive heard that song, its a great song to me. it reminds me of what people see me as and how people treat me. it also reminds me of who i am and that everything is possible as long as you truly want it and set your heart to it.

Answer:

73 Total marbles; 70 blue 3 green

Step-by-step explanation:

10 x 7 = 70. 70 blue marbles + 3 green marbles = 73 marbles total

From the given linear functions, the ordered pairs that represents a function is A= {(-6, 6),(-3, 2),(0, -1) (3, 5})

A set of ordered equation represents a linear function if the domain of the coordinates are not repeated.

For instance, the ordered pairs that is a function are the coordinates that do not have any repeated x-coordinates.

From the given linear functions, the ordered pairs that represents a function is A= {(-6, 6),(-3, 2),(0, -1) (3, 5})

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Answer:

C

Step-by-step explanation:

Answer:

d = 50h

Step-by-step explanation:

d = distance , h = hours , 50 miles an hour , so 50h

The expression that represents the total distance traveled is 50h .

Distance is the measure of total movement from one place to another , It is a scalar quantity and can be expressed as m and is not dependent upon the direction of the motion.

It is given that

A car travels 50 miles per hour

expression that represents the total distance traveled = ?

Speed = Distance / Time

Given speed = 50 miles/hour

Let h represents the total time

50 = Distance traveled/h

Distance Traveled = 50 h

Therefore the expression that represents the total distance traveled is 50h .

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Twice a number decreased by four is less than 8 is x< 6.

2x - 4 < 8

2x < 8 + 4

2x < 12

x < 12 / 2

x < 6

Inequality refers to the unequal distribution of resources, opportunities, and outcomes among individuals or groups in a society. It can manifest in various forms, including economic inequality, social inequality, gender inequality, and racial inequality. Economic inequality refers to the unequal distribution of wealth and income, where some individuals or groups have access to more resources and opportunities than others.

Social inequality refers to the unequal distribution of social status and power, which can lead to marginalized groups being excluded from certain societal benefits. Gender and racial inequality refer to the unequal treatment and opportunities that certain genders or races face in society. Inequality can have negative consequences on individuals and society, including lower levels of social trust, reduced economic growth, and increased social tensions.

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Complete Question: -

Twice a number decreased by four is less than 8 is equation or inequality

Answer: N=6

Step-by-step explanation:

Add 34 degrees with the 90 degree angle and you get 124

Then add 124 to your other equation (9n +2)

Make that equation equal to your straight angle 180 and solve.

9n + 126 = 180

9n = 54

n= 6

Answer:

Dimensions = 8 CM and 12 CM

length = 12 CM

width = 8 cm

perimeter = 2 ( length + width)

= 2( 12 + 8)

= 2 ( 20)

= 40 CM

ratio = 12/40

= 6/20

= 3/10

Answer:

3+11x+11y-4x^2-8xy-4y^2

Step-by-step explanation:

Using the distributive property, we get 3+11x+11y-4x^2-8xy-4y^2