If g(x)=f(x)−1, then g(x) translates the function f(x) 1 unit _[blank]_.Which word correctly fills in the blank in the previous sentence?A. upB. leftC. downD. right

Answer:

The amount of interest she will be paid in the first 3 years is;

Explanation:

Given that Lashonda deposits $500 into an account that pays simple interest at a rate of 6% per year. for the first 3 years;

Recall the simple interest formula;

substituting the given values;

Therefore, the amount of interest she will be paid in the first 3 years is;

First, let's calculate the number of different hands of 5 cards that can be made, using a combination of 52 choose 5:

(a standard deck card has 52 cards)

Now, let's calculate the number of hands that have 4 aces. Since the fifth card can be any of the remaining 48 cards after picking the 4 aces, there are 48 possible hands that have 4 aces.

Then, the probability of having a hand with 4 aces is given by the division of these 48 possible hands over the total number of possible hands of 5 cards:

The probability is 1/54145.

The slope of the line that passes through points (x1, y1) and (x2, y2) is computed as follows:

Replacing with the points (-8, 3) and (0,1) we get:

We can see that the y-intercept would be (0,-16) since this is the result of replacing x=0 in the function.

We can also find the x-intercepts solving the equation 0=2x^2+4x-16. Doing so, we have:

The graph that satisfies the conditions we have found previously is the option A.

The GCF stands for greatest common factor. To represent a sum by its GCF we need to use the distributive property and we need to first find the GCF of the numbers. Let's break each number by its factors:

We now multiply the numbers that appear on both.

We now apply the distributive property:

Answer: Option 4: c=13.8m, A=28.8°, B=40.1°

Explanation:

From the information given,

the known sides are a = 7.1 and b = 9.6

the known angle is C = 111.1

We would find side c by applying the cosine rule which is expressed as

c^2 = a^2 + b^2 - 2abCosC

By substituting the given values into the formula,

c^2 = 7.1^2 + 9.6^2 - 2 x 7.1 x 9.6Cos111.1

c^2 = 50.41 + 92.16 - 136.32Cos111.1

c^2 = 142.57 - 136.32Cos111.1 = 191.6448

c = √191.6448 = 13.8436

c = 13.8

To find angle A, we would apply the sine rule which is expressed as

a/SinA = c/SinC

Thus,

7.1/SinA = 13.8436/Sin 111.1

By cross multiplying, we have

13.8436SinA = 7.1Sin111.1

SinA = 7.1Sin111.1/13.8436 = 0.4785

Taking the sine inverse of 0.4785,

A = 28.8

Recall, the sum of the angles in a triangle is 180. Thus,

A + B + C = 180

28.8 + B + 111.1 = 180

139.9 + B = 180

B = 180 - 139.9

B = 40.1

Option 4: c=13.8m, A=28.8°, B=40.1°

We have the following:

the value of pi / 2 is not defined

The angles sum up to give 180°

Only one of the angles can be an obtuse angle, we can;t have two bothuse angle in a triangle. BUT we can have two acute angles and one obtuse angle in a triangle.

We can also have a 90 degree and 2 acute angle in a triangle.

Examples

The angles sum up to give 180°

Only one of the angles can be an obtuse angle, we can;t have two bothuse angle in a triangle. BUT we can have two acute angles and one obtuse angle in a triangle.

We can also have a 90 degree and 2 acute angle in a triangle.

Examples

To answer this question we have to identify the elements of the inequality.

1. The difference of a number and 2 is represented by the expression: x-2.

2. Twice the difference (...) is represented by the expression: 2(x-2).

3. At least is represented by the sign greater than or equal to ≥.

4. The result is -28.

By putting these all together we obtain the inequality:

It means that the answer is 2(x-2) ≥ -28.

The wheel is rotating 600 times per minute, find how many times rotate in 1 second:

1 minute = 60 seconds

Then, if in 1 second it rotates 10 times in 1/2 seconds it rotates:

Multiply the number of times it rotates (5 times) by 360 (a wheel has 360º)

Given

Solution

Standard from of a parabola

ANSWER

9933

EXPLANATION

We have the number 9932.8.

We want to round it to the nearest integer.

An integer is a number that can be written without decimal or fraction.

To do that, we follow the following steps:

1. Identify the number after the decimal

2. If the number is greater than or equal to 5, round up to 1 and add to the number before the decimal.

3. If the number is less than 5, round down to 0.

Since the number after the decimal is 8, we therefore have that:

The circumference of a circle is given by the following formula

where r represents the radius.

The ratio between two circumferences is equal to the ratio of the radius.

The area of a circle is given by the following formula

Then, the ratio between two circle areas is equal to the square of the ratio of the radius, which is the square of the ratio between the circumferences.

Then, applying this relation in our problem, the ratio between the areas is:

The ratio between the areas is 25/4.

The equation is 4x - 5y = -13.

Substitute -7 for x and -3 for y in the equation to check whether ordered pair is solution of the equation.

The ordered pair satisfy the equation so point (-7,-3) is solution of equation.

Substitute 3 for x and -4 for y in the equation to check whether ordered pair is solution of the equation.

The ordered pair not satisfy the equation. So point (3,-4) is not a solution of the equation.

Substitute -2 for x and 1 for y in the equation to check whether ordered pair is solution of the equation.

The ordered pair satisfy the equation. So point (-2,1) is solution of equation.

Substitute 6 for x and 7 for y in the equation to check whether ordered pair is solution of the equation.

The orderedpair not satisfy the equation. So point (6,7) is not a solution of the equation.

The seat back cushion is a cuboid. The surafce area can be calculated below

650 --- total

650*.68=442

442 students ate green bean casserole

.68 represents the percentage

so for example, if they asked me for 50% of 1000

we need to multiply 1000*0.5

if they asked for 60% we will multiply 1000*0.6

To simplify the fraction we will need to facto

In the given equation A, we can (A) subtract the same quantity from both sides.

So, obtain equation B from equation A:

We can subtract (2x) from both sides to get equation B as follows:

Therefore, in the given equation A, we can (A) subtract the same quantity from both sides.

Know more about equations here:

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[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{y})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{y}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{1}}} ~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{3}\implies \cfrac{2-y}{7}=3 \\\\\\ 2-y=21\implies -y=19\implies y=\cfrac{19}{-1}\implies y=-19[/tex]

You can read a pie chart as follows

Looking at the given pie chart.

The budget for Research is arounf 1/6

The budget for Engineering is around 2/6

The budget for Support is around 1/8

The budget for media and marketing are 1/16 each

The budget for sales is around 3/16

a) The department that has one eight of the budget is Support.

b) The budgets for sales and marketing together add up to

Multiply it by 100 to express it as a percentage

25% of the budget correpsonds to sales and marketing

c) The budget for media looks around one third the budget for research, to determine the percentage of budget that corresponds to media, divide the budget of research by 3

The budget for media is 6%

The linear regression model is

Where

R is the total annual revenue (dependant variable)

t is the time, in years, since 1/31/02 (independent variable)

To predict the annual revenue for the period ending 1/31/10, the first step is to determine the value of t. Considering that t=0 is the first recorded year (1/31/02), the value of t corresponding to period 1/31/10 is the number of years passed since, including 2002, which is 9 years.

So you have to calculate R for t=9. Replace the formula with t=9 and calculate the corresponding value of R

R≈437 billion dollars

To know if the point is on the circle, we mus calculate the distance between the point and the origin.

For the first option, we have:

- (2, √21)

and the origin

- (0, 0)

Then, we must replace the two points in the distance formula:

Knowing that the distancie is 5 we can affirm that the point is on the circle because the radius is 5.

Finally, the answer is

Notice that

400,000 = 0.4 million

That's why the equation that models that information has the factor 0.4, since it expresses the result in millions of females.

Now, we need to notice that t, in the expression 0.4t + 6.1, is the number of years passed since 2009. So, in the year 2024, we have:

t = 2024 - 2009 = 15

Therefore, the number of females enrolled in 2024 can be estimated to be:

y = (0.4 * 15 + 6.1) million

y = (6 + 6.1) million

y = 12.1 million

Now, to determine the year when 12.9 million females will be enrolled, we first need to find t corresponding to y = 12.9, and then add it to the year 2009.

y = 0.4t + 6.1​

12.9 = 0.4t + 6.1

12.9 - 6.1 = 0.4t

6.8 = 0.4t

t = 6.8/0.4

t = 68/4

t = 17

Therefore, the year when it happens will be:

2009 + 17 = 2026

The Pythagorean theorem states:

where a and b are the legs and c is the hypotenuse of a right triangle.

Substituting with c = 9 and a = 5, we get:

Answer: 100

Step-by-step explanation:

$1 =100 pennies

A rhombus is a quadrilateral with 4 congruent sides.

For the Rhombus ABCD given

Also,

Also,

Use the following formula:

Then, for 11P6:

Hence, the result is 332640

The standard form equation of a line is expressed as

Ax + By = C

where

A, B and C are real numbers and A and B are not both zero. From the information given,

the line passes through(- 2, 5) and slope = - 4

We would find the y intercept of the line, c by substituting slope, m = - 4, x = - 2 and y = 5 into the slope intercept equation which is expressed as

y = mx + c

Thus, we have

5 = - 4 * - 2 + c

5 = 8 + c

c = 5 - 8 = - 3

Thus, the equation of the line in the slope intercept form is

y = - 4x - 3

We would convert it to standard form. Thus, we have

y + 4x = - 3

4x + y = - 3

Thus, the equation in standard form is

4x + y = - 3

The height of the tree is 13.82 m

Step - by - Step Explanation

What to find? Height of the tree.

Given:

• Angle of elevation = 62,°

• Eye-level above the ground =160cm

• Distance away from the tree = 6.5m

We need to first sketch the problem, to have a clearer picture of the question.

Change 160cm to meter

160 cm = 160/100 = 1.6 m

Height of the tree = 1.6 + x

We need to find the value of x.

From the sketch above;

Opposite =x

Adjacent =6.5

θ= 62°

Using the trigonometric ratio;

Substitute the values.

Cross-multiply.

x=6.5tan62°

x = 12.22 m

Height of the tree = 1.6 m + 12.22m

Height of the tree = 13.82 m

OR

Height of the tree = 1382 cm approximately.