Find the value of x in the triangle shown below.
8
2
Answer?

Given Data:

The salary of Clarissa is : $395 per week

The total amount Clarissa own the employment agency is 20% of the 4 weeks salery.

The total salary of employment agency in four week is,

Clarissa earn $1580 in her first four week.

The 20% of the $1580 is the amount Clarissa owns the agency.

The 20% of the $1580 is,

Thus, Clarissa has to pay $316 to the employment agency.

There are 3,628,800 ways to arrange 12 distinct people in a row so that Dr. Tucker is 3 positions away from Dr. Stanley.

To count the number of arrangements of 12 people with Dr. Tucker and Dr. Stanley positioned 3 apart, we can treat Dr. Tucker and Dr. Stanley as a single block of two people, and then arrange the resulting 11 blocks in a row.

Since Dr. Tucker and Dr. Stanley can occupy any of the 10 possible positions (the first two positions, the second and third, and so on up to the last two positions), there are 10 ways to form this block.

After the block is formed, we are left with 10 remaining people to arrange in the remaining 10 positions. There are 10! ways to arrange these people, so the total number of arrangements is:

10 x 10! = 3,628,800

Therefore, there are 3,628,800 ways to arrange 12 distinct people in a row so that Dr. Tucker is 3 positions away from Dr. Stanley.

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Answer:

x² - x + 4

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(4x² - 2x - 3) + (-3x² + x + 7)

Step 2: Simplify

Answer: 4,000,000, it’s like 2000, but 2000 times

Answer: 4000000

Step-by-step explanation:

Answer:

3          12

------ = ---------

1           4

Step-by-step explanation:

We need to keep the relationship in the same order

3 ft         12 ft

------ = ---------

1 yd           4 yds

3          12

------ = ---------

1           4

Answer:

the answer is B

Step-by-step explanation:

Answer:point form= (-10,16)

Equation form : x=-10,y=16

Step-by-step explanation:

Answer:

point form (-10,16) equation Form: x=10,y=16

Step-by-step explanation:

Answer:

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

In this case, we are given the point (5, -2) and the slope -2/5, so we can plug these values into the equation to find the y-intercept b:

Copy code

-2 = (-2/5) * 5 + b

-2 = -2 + b

b = 0

Therefore, the y-intercept of the line is 0, and the equation of the line is y = (-2/5)x + 0, or y = -2/5x.

Answer:

C. As a →-, f(2) goes down and as x + +, f(2) goes down.

Step-by-step explanation:

The measure of side length x in the smaller triangle is 27.

The figure in the image is two similar triangle.

From the diagram:

Leg 1 of smaller triangle DQ = 39

Leg 2 of the smaller triangle DC = x

Leg 1 of larger triangle DB = 26 + 39 = 65

Leg 2 of the larger triangle DR = ( x + 18 )

To determine the value of x, we take the ratio of the sides of the two triangle since they similar:

Hence:

Leg 1 of smaller triangle DQ : Leg 2 of the smaller triangle DC = Leg 1 of larger triangle DB + Leg 2 of the larger triangle DR

DQ : DC = DB : DR

Plug in the values

39 : x = 65 : ( x + 18 )

39/x = 65/( x + 18 )

Cross multiplying, we get:

39( x + 18 ) = x × 65

39x + 702 = 65x

65x - 39x = 702

26x = 702

x = 702/26

x = 27

Therefore, the value of is 27.

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Answer:

False

Step-by-step explanation:

A ball is a three dimensional object and it is spherical in shape.

Answer:

A ball is spherical

it's shaped like a sphere

Answer:11.4

Step-by-step explanation: Set up a proportion: \(\frac{15}{x}\)=\(\frac{5}{3.8}\)

To solve a proportion, multiply the numbers diagonal from each other, then divide by the last number. In this problem, we would multiply 15 and 3.8, which equals 57, then we would divide by 5. That is why the answer is 11.4.

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The fixed cost for suit is $125 and for every additional day, the cost can be calculated as 30*x.

Therefore, the total cost is the sum of the fixed cost ($125) and the additional cost per additional day ($30x). So, the total cost y is:

y = 125 + 30x

To calculate the total cost after 3 days, we need to replace x by 3 on the initial equation as:

y = 125 + 30*3

y = 125 + 90

y = 215

Answers: 21. y = 125 + 30x

22. $215

Work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

Answer:

AB = 25 units

Step-by-step explanation:

In right triangle ACB, \( CD\perp AB\)

Therefore, by geometric mean property:

\(CD^{2} ={AD\times DB} \\ \\ {10}^{2} = AD\times 5 \\ \\ 100 = 5AD \\ \\ AD = \frac{100}{5} \\ \\ AD = 20\)

AB = AD + DB

AB = 20 + 5

AB = 25 units

Looking through the options, the answer is option D.

Answer:

55

Step-by-step explanation:

Answer:

55/100

Step-by-step explanation:

Answer: kindly check explanation

Step-by-step explanation:

A) The sample is a fraction of the total population used in the study.

The sample is 1000 19 years of age or older U.S adult.

The population : all U.S adults aged 19 or older.

B.) Confession about bringing cell phone to the bathroom and it is a qualitative variable

C.) point estimate (p) :

Total number of sample = 1000

Number who confessed to bring cellphone = 241

p = 241/ 1000

= 241/1000 = 0.241

D.) The point estimate was deduced from the sample information and not the population. Random selection because selection is unbiased.

E.) 95% confidence interval (CI)

95% CI = (1 - 0.95) = 0.05

For a two-tailed test : 0.05 / 2 = 0.025

Z - score = 1.96

Error : (√[p(1 - p) / n])*z

1.96 * √0.241(1-0.241)/1000

1.96* √0.000182919

1.96 * 0.0135247

= 0.0265085

Boundary :

(0.241 - 0.0265085), (0.241 + 0.0265085)

(0.2144915, 0.2675085)

F) The sample can be said to be representative of the total population since the sampling was performed and participants were chosen at random.

The smallest number of coins you could have had before finding the bag of 53 coins is 371. which is more than 200.

There are seven bags, so there are 7x coins in total:

7x = T.

Since the number of coins in each bag must be an integer, (T + 53) must be a multiple of 8. We know that T = 7x, so we can write this as follows:

(7x + 53) ≡ 0

(mod 8)This means that 7x ≡ 3 (mod 8).

The solutions to this congruence are

x ≡ 3, 11 (mod 8).

Since x is a positive integer, we take

x = 11

(the other possibility, x = 3,

leads to a smaller value for T).

Therefore, T = 7x = 77, and the total number of coins after the bag of 53 coins is found is

T + 53 = 130.

After redistributing the coins into eight equal bags, each bag contains 16 coins.

Therefore, the number of coins you had initially was

7x = 77,

so the smallest number of coins you could have had before finding the bag of 53 coins is

77 - 53 = 24.

After redistributing the coins, you had

8 × 16 = 128 coins left,

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Correct Option is A : p(x) is 7x - 20

A linear equation in one variable is the basic equation that is used to represent and solve for an unknown quantity. It is simply represented graphically and is always a straight line. A linear equation is a straightforward way to convey a mathematical proposition.

The fundamental equation used to represent and solve for an unknown quantity is a linear equation in one variable. It is always a straight line, and it is simply shown graphically. A mathematical statement is simply represented by a linear equation.

Given, r(x) = 12x and c(x) = 5x + 20

Now, p(x) = r(x) - c(x)

= 12x - (5x + 20)

= 12x - 5x - 20

= 7x - 20

Therefore, p(x) = 7x - 20

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Answer:

B.

\( \frac{275\pi}{6} {m}^{2} \)

Step-by-step explanation:

\(area \: of \: sector \: is \\ \frac{the \: angle}{360} \times \pi {r}^{2} \\ hence \: we \: have \\ \frac{165}{360} \times {(10m)}^{2} = \frac{275\pi}{6} {m}^{2} \)

For data at the interval​ level, we cannot calculate meaningful differences between data entries. The statement is false.

Interval:

The interval of a numerical value generally represents the maximum and minimum value between which the numerical value belongs, it is the amount of time that has passed between the beginning and end of the event which is also known as elapsed time.

The various ways of showing intervals are Inequalities, interval notations, and number lines, the amount of time between two given times is known as the time interval.

Data at the ordinal level can be qualitative or quantitative.  A true statement is​ "For data at the interval​ level, you can calculate meaningful differences between data​ entries."

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To solve the expression -25 x (84/21) + (-3) x (-6), follow these steps:

Step 1: Perform the division inside the parentheses.
(84/21) = 4

Step 2: Replace the terms and rewrite the expression.
-25 x (4) + (-3) x (-6)

Step 3: Perform the multiplications.
-25 x 4 = -100
-3 x -6 = 18

Step 4: Rewrite the expression and perform the addition.
-100 + 18

Step 5: Calculate the final result.
-100 + 18 = -82

Your answer is -82.

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Answer:

3

Step-by-step explanation:

3 + 2 < 6

5<6

Therefore the answer should be 3

Answer:

Step-by-step explanation:   let Zara's money she earned last week be x.

money earned by Zara this week,  x - 25 = 2875 AED

money earned by Zara last week, x - 25 = 2875

x = 2875 + 25   [-25 turns to 25 when transferred to RHS]

x= 2900 AED

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Answer:

3

Step-by-step explanation:

Answer:

this is quite easy. just count the markings that are not in the 1 ounce or 2 ounce sections. in this problem, there are 5 bottles in total and 2 of them are either in the 1 ounce or 2 ounce section. this leaves 3 bottles. (also make sure you count the ones above and below the areas specified)

Answer:

9. Let's simplify step-by-step.

Ans. 5x + 24 + 147

Combine Like Terms:

= 5x + 24 + 147

= ( 5x ) + ( 24 + 147 )

= 5x + 171

10.  Let's simplify step-by-step.

Ans. 3x + ( 7x + 10 )

Combine Like Terms:

( 3x + 7x ) + 10

10x +10

11.  Let's simplify step-by-step.

Ans. 5x + ( 2 + 3 )

5x + 5

12. 4 * 10

Ans. 40

13. 3 ( 12x )

Ans. 36x

14. 14r + 9y + 6x

Ans. 14r + 6x + 9y

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The locus of point P such that PA²+PB² = 16 is \(x^{2} +y^{2} + 4x - 4y + 5 =0\)

A locus is the collection of all points that satisfy a condition, typically forming a curve or surface. For instance, the set of points in three-space that are equally spaced out from a given point is a sphere, and the locus of points in the plane that are equally spaced apart from a given point is a circle.

Given that A and B are two fixed points on a plane locus of P such that PA²+PB² =16

Let point P be (x,y) then \({(x-0)^{2} +(y-1)^{2} }+{(x-(-4))^{2}+(y-3)^{2} } = 16\)

is the Locus of the given point P

On simplyfying we  get

\({x^{2}+(y-1)^{2} } +{(x+4)^{2}+(y-3)^{2} } = 16\)

\(2x^{2} +2y^{2} +8x-8y+10=0\\x^{2} +y^{2} + 4x - 4y + 5 =0\)

This is the Locus of point P where PA²+PB²  = 16.

The locus of point P such that PA²+PB² = 16 is \(x^{2} +y^{2} + 4x - 4y + 5 =0\)

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The equation that matches the given points is g(x) = -1.4x + 7.6

The standard form of a linear  equation is expressed as \(g(x)=mx + b\)

Using the coordinate points (3, 3.4), (4,2)

\(m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4\)

Substitute m = -1.4 and the coordinate (4, 2) into the formula:

\(2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6\)

Get the required equation:

\(g(x)=mx+b\\g(x)=-1.4x+7.6\)

Hence the equation that matches the given points is g(x) = -1.4x + 7.6

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The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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Answer:

12 feet

Step-by-step explanation:

30 divided by 5= 6

6 times 3= how far youve already swam(18 feet)

6 times 2= how far you have left(12 feet)