Simplify the linear expression by subtracting,
(9x - 8) - (x +4)
O 10x -4
O 10x + 12
O 8x -12
-3x

Answer:

The first one: 19/15a

second one: b²-4ac = D

Step-by-step explanation:

for first one: take LCM and solve

for second one: you square the expression on both sides then b²= D + 4ac, then when you take 4ac to the left hand side, it becomes b²-4ac= D

Answer:

no

Step-by-step explanation:

32+33=65

Answer:

Step-by-step explanation:

458210 in binary

=10001111001102

Lenny's total wage is $7000

In this question, Lenny works a basic week of 32 hours. His basic rate of pay is $1,750. During a certain week he worked 9 hours overtime for which he was paid triple time.

32 hours of work = $1750

In a certain week, we work 9 hours as over time

For this overtime which he was paid triple time.

1750 * 3 = $5250

So, Lenny's total wage would be,

$1,750 +  $5250 = $7000

Therefore,  Lenny's total wage is $7000

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Work Shown:

f(x) = 5x - 7

f(3) = 5(3) - 7 .... every x replaced with 3

f(3) = 15 - 7

f(3) = 8

\( \: \)

Given :

To Find :

Calculating the value of x :

\(\sf : \implies \: 5x - 7\)

\(\sf : \implies \: 5(3) - 7\)

\(\sf : \implies \: 15 - 7\)

\(\bf : \implies \: 8\)

Hence,

\( \implies \boxed{ \bf \: \therefore \: The \: value \: of \: x \: is \: 8 \: } \\ \\ \)

\(\sqrt[4]{81} -8( \sqrt[3]{216}) +15( \sqrt[5]{32}) +\sqrt{225}\) when simplified gives 0

Indices are small number that tells us how many times a term has been multiplied by itself. Indices are also the power or exponent which is raised to a number or a variable.

How to determine this

\(\sqrt[4]{81} -8( \sqrt[3]{216}) +15( \sqrt[5]{32}) +\sqrt{225}\)

When all of then are perfect square

\(\sqrt[4]{81}\)= 3 * 3 *3 *3

\(\sqrt[3]{216}\) = 6 * 6 * 6

\(\sqrt[2]{32}\) = 2 * 2 * 2 * 2 * 2

\(\sqrt{225}\) = 15 * 15

Therefore,

3 - 8(6) + 15(2) + 15

3 - 48 + 30 + 15

By collecting like terms

3 + 30 + 15 - 48

48 - 48

= 0

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hi <3

lets create variables for our unknowns

width = n

length = 4.5n

now lets input the information we know:

4.5n x n = 36

simplify:

4.5n^2 = 36

divide both sides by 4.5:

n^2 = 8

n = square root of 8

therefore, the width is 2.83 (to 2dp) and length is 12.73 (to 2dp)

hope this helps :)

Letter C, 0,2π

Step-by-step explanation:

0, 2π is the answer

mark me brainlest thankss!

Answer:

C is the correct answer.

Step-by-step explanation:

You're trying to find a true statement about the point (1,7)

A. To plot the ordered pair (1 , 7), travel seven units to the right on the x-axis and one unit up on the y-axis, from the origin.

B. To plot the ordered pair (1 , 7), travel one unit to the right on the y-axis and seven units up on the x-axis, from the origin.

C. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin.

D. To plot the ordered pair (1 , 7), travel seven unit to the right on the y-axis and one units up on the x-axis, from the origin.

_____________________________________________________
Solving:

A is incorrect because it shows the point (7,1).

D is incorrect because that isn't the proper way to graph a coordinate.

B is incorrect because it says travel one unit to the right on the y axis which is the incorrect axis to graph the point (1,7).

C is your correct answer because you need to move 1 unit to the right on the x-axis to get to the coordinate (1,0). Then, you need to go 7 units up on the y-axis to reach (1,7).

The volume for the shape is 10368 cubic meters

From the question, we have the following parameters that can be used in our computation:

The shape

The height of the shape is calculated as

h² = 30² - 18²

Evaluate

So, we have

h² = 576

This means that

h = 24

the volume for the shape is then calculated as

V = 1/3b²h

So, we have

V = 1/3 * 36² * 24

Evaluate

V = 10368

Hence, the volume for the shape is 10368 cubic meters

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The appropriate methods for analyzing the variables Birth Rate and Death Rate at the same time would be scatterplot, two-way table, and stacked bar chart.

Scatterplot: A scatterplot can be used to visually display the relationship between two quantitative variables, such as Birth Rate and Death Rate. Each point on the scatterplot represents a pair of values for the two variables, making it easy to identify patterns or trends in the data.

Two-way table: A two-way table can be used to display the distribution of two categorical variables, such as Birth Rate and Death Rate, and how they relate to each other. It can help identify the joint frequency or relative frequency of different categories.

Stacked bar chart: A stacked bar chart can be used to show how two categorical variables, such as Birth Rate and Death Rate, are related to each other. Each bar represents the total frequency for each category, and the bars are divided into sections representing the subcategories of the other variable. This makes it easy to compare the distribution of the two variables across each category.

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Answer:

No.

Step-by-step explanation:

No, y=x²-6 is not a linear function.

This is because all linear functions have the highest exponent of 1. Anything equation that has a variable raised to a power other than 1 is not linear.

The equation provided as the highest exponent of 2. Thus, it's not linear.

From the provided graph, we can also see that this is quadratic instead of linear. The graph is a parabola instead of a line.

Answer:

NO! y=x^2-6 is nonlinear

Step-by-step explanation:

A great teacher once told me the easiest way to tell if an equation is linear or not, by just looking at it is, if you see that the equation contains an exponent then you should automatically know that it is nonlinear. Therefore the equation y=x^2-6 is nonlinear!!!

When a line is reflected along the x axis, the sign of the x coordinate of the points on the line remains the same while that of the y coordinate is reversed. Therefore,

For point A, the x coordinate is - 2 and the y coordinate is - 1. After relection over the x axis, it becomes

(- 2, - -1)

= (- 2, 1)

For point B, the x coordinate is - 1 and the y coordinate is - 3. After relection over the x axis, it becomes

(- 1, - -3)

= (- 1, 3)

The coordinates after reflection are A(- 2, 1), B(- 1, 3)

Answer:

the answer is d as 38 31 which are highest

Step-by-step explanation:

a is false as 38>31 which is on Saturday
b is false as Saturday customers were less we can infer from the last three on Friday
c false as Saturday was 12 people and Friday 6 people

In 2.63  hours the prices of the two stocks be the​ same

Two or more expressions with an Equal sign is called as Equation.

Given,

The price of Stock A at 9 A.M. was $12.71.

Price has been increasing at the rate of $0.08 each hour

Price of Stock B was $13.21

The price has been decrease at the rate of $0.11 each hour.

We can write in the form of equation , to find how many hours will the prices of the two stocks be the​ same

12.71+0.08h=13.21-0.11h

0.11h+0.08h=13.21-12.71

0.19h=0.5

Divide both sides by 0.19

h=0.5/0.19

h=2.63

Hence, in 2.63  hours the prices of the two stocks be the​ same

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The buyers would need a sample size of 1069 items from the inventory in order to be 90% confident that their estimate of the percentage of outdated items has a margin of error of about 2%.

In order for the buyers to estimate the percentage of outdated items with a margin of error of 2%, they need to determine the proportion of outdated items in a random sample from the inventory. To be 90% confident in their estimate, they need to calculate the sample size required.
The formula for sample size is:
n = \((z^2 * p * q) / (e^2)\)
Where:
n = sample size
z = z-score (from a standard normal distribution table for the desired confidence level of 90%, which is approximately 1.645)
p = proportion of outdated items (unknown)
q = proportion of non-outdated items (1 - p)
e = margin of error (0.02)
Since the proportion of outdated items is unknown, the buyers must use a conservative estimate for p. For example, they could assume that 50% of the items are outdated, which would give the largest possible sample size.
Plugging in the values:
n = \((1.645^2 * 0.5 * 0.5) / (0.02^2)\)
n = 1068.73
Rounding up to the nearest whole number, the buyers would need a sample size of 1069 items from the inventory in order to be 90% confident that their estimate of the percentage of outdated items has a margin of error of about 2%.

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There are 40 different ways to perform a symphony and then a piano concerto.

To find how many ways are there to play first a symphony and then a piano concerto:

Therefore, 40 ways are there to play first a symphony and then a piano concerto

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Answer:

\( 48 {x}^{2} {y}^{5} \)

Step-by-step explanation:

Given:

\( l = 8x^2 y\: \&\: b = 6y^4 \)

Area of rectangle

\( = l \times b \\ \\ = 8 {x}^{2} y \times 6 {y}^{4} \\ \\ = 8 \times 6 \times {x}^{2} y \times {y}^{4} \\ \\ = 48 {x}^{2} {y}^{5} \)

Answer:

160 packages in 4 minutes

Step-by-step explanation:

If this helped please mark brainliest

Answer: Suponiendo que la altura del cono y la del cilindro son iguales.

\(\pi r^2\times h+\frac{1}{3} \pi r^2\times h=41.86\\\pi (2)^2\times h+\frac{1}{3} \pi (2)^2\times h=41.86\\\\Solving\;for\;h\\h=2.49833\)

Answer:

No

Step-by-step explanation:

Given b =4, h=6,  H=3, let us find the area.

First we find the area of the triangular face.

(b*h)/2 = 4*6/2 = 24/2 = 12

Then we multiply 12 by the height of the cheese

12*H = 12*3= 36

36 <40, therefore she does not have enough.

I hope this helps! :)

Answer:

This is what you asked me just now.

Step-by-step explanation:

Answer:

Step-by-step explanation:

No, the equation cannot be written with the given information. The distance from the catapult when the watermelon reached the maximum height is needed. Since the watermelon did not start on the ground, it cannot be assumed that the maximum was reached half the distance to the landing point.

Answer:

\(1\frac{2}{3}\)

5x\(\frac{1}{3}\)= \(\frac{5}{3}\)= \(1\frac{2}{3}\)

Step-by-step explanation:

the width is 1/3, so 3 squares make up one whole square and 5-3=2.

So, the answer is  \(1\frac{2}{3}\). because there are 2 more 1/3 squares left

1. Common ratio of the G.P is 50

2. First term of the G.P is -100

3. Sum of the 8th term is 250.

Given,

In a Geometric progression,

7th term is 16 times the 3rd term

Sum of 2nd and 6th term is 102

Common ratio is positive.

Now,

Take a as first term.

r as common ratio

Then,

2nd term = a + r

6th term = a + 5r

So,

a + r + a + 5r = 102

Then,

2a + 6r = 102

2a = 102 - 6r

a = (102 - 6r) / 2

Now,

1. Common ratio:

Consider any term,

Here, 3rd term = a + 2r

Substitute a here.

a + 2r =  (102 - 6r) / 2 + 2r

102 - 6r + 4r = 2

102 - 2 = 6r - 4r

100 = 2r

r = 100/2 = 50

That is,

The common ratio of the G.P is 50.

2. First term:

Consider,

7th term is 16 times the 3rd term

That is,

3rd term = a + 2r

7th term = 16(a + 2r)

r = 50

Then,

a + 50 × 2 = 16(a + 50 × 2)

a + 100 = 16(a + 100)

a + 100 = 16a + 1600

100 - 1600 = 16a - a

15a = -1500

a = -1500/15

a = -100

Therefore,

The first term of the G.P is -100

3. Sum of the 8th term.

8th term = a + 7r = -100 + 7 × 50 = -100 + 350 = 250

That is,

The sum of the 8th term is 250.

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Answer:

x = 0,  x = 7

Step-by-step explanation:

Given equation:

\(\implies \dfrac{x+3}{x-3}+\dfrac{x}{x-5}=\dfrac{x+5}{x-5}\)

Multiply by (x - 5):

\(\implies \dfrac{(x+3)(x-5)}{x-3}+\dfrac{x(x-5)}{x-5}=\dfrac{(x+5)(x-5)}{x-5}\)

Factor out common term (x - 5):

\(\implies \dfrac{(x+3)(x-5)}{x-3}+x=x+5\)

Multiply by (x - 3):

\(\implies \dfrac{(x+3)(x-5)(x-3)}{x-3}+x(x-3)=(x+5)(x-3)\)

Factor out common term (x - 3):

\(\implies (x+3)(x-5)+x(x-3)=(x+5)(x-3)\)

Expand brackets:

\(\implies x^2-5x+3x-15+x^2-3x=x^2-3x+5x-15\)

Combine like terms:

\(\implies 2x^2-5x-15=x^2+2x-15\)

Simplify:

\(\implies x^2-7x=0\)

Factor and solve:

\(\implies x(x-7)=0\)

\(\implies x=0,7\)

Answer:

1st year is $75,000 * 0.04 = $3,000 $75,000+$3,000=$78,000

Step-by-step explanation:

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2