Look at the diagram. Which of the following is another name <2?

Answer:

(3/2, 1, 3/2)

Step-by-step explanation:

Given the simultaneous equation

-x+y+z=1... 1

x-y+z=2 ... 2

x+y-z=1 .... 3

Add equation 1 and 2;

-x+x + y - y + z + z = 1+2

0 + 0 + 2z = 3

2z = 3

z = 3/2

Add equation 2 and 3

x+x = 2 + 1

2x = 3

x = 3/2

Substitute x = 3/2 and z = 3/2 into 3

From 3;

x+y-z = 1

3/2 + y - 3/2 = 1

y + 0 = 1

y = 1

Hence the solution (x, y, z) is (3/2, 1, 3/2)

Answer:

The suit originally cost $200.

Step-by-step explanation:

In order to calculate the original price of the suit, you can use a rule of three considering that $116 represents 58% of the original price:

116 → 58%

x  ←  100%

x=(116*100)/58

x=200

According to this, the answer is that the suit originally cost $200.

The Child would take 4 hours while the Adult would take 4/3 hours

An algebraic equation is when we use numbers and words in solving a particular mathematical question.

Given:

Adult Data:

Time = x hours per  job

Rate = 1/x job per hour

Child Data:

Time = 3x hours per  job

Rate = 1/3x job per hour

Together, the equation becomes:

Child rate + Adult rate = Together rate

\(\frac{1}{3x}\) + \(\frac{1}{x}\) = 1

Multiply both sides by the L.C.M.

L.C.M = 3x

\(\frac{1}{3x} X 3x + \frac{1}{x} X 3x = 1 X 3x\)

= 1 + 3 = 3x

Hence,

3x = 4 and x = 4/3

Therefore, it would take the child 4 hours to do the job alone while it will take the adult 4/3 hours to do the job alone.

Learn more about Algebraic Equations here:

brainly.com/question/4344214

#SPJ1

⇒Option A is an expression of a difference 7 and 5x which is the product of 5 and x.

⇒Option A is the  answer.

Answer:

C and A

Step-by-step explanation:

So first, off, to find the length of a line, we can use pythagreons theorm.(A^2+B^2=C^2) The cahnge in x squared and the change in y squared will give us C, which is the line length. You can count the tiles like this:

From the bottom point, lets count up the x coordinates till we hit the x coordinates of the top point. I got 3.

Next is the y coordinates.

When I count up until I reach the top point, I get 7. Lets plug these numbers in:

3^2+7^2=C^2

Use the square root on eahc number except for the unknown(C)

=

9+49=c^2

Add the two numbers together:

=

58=c^2

Take square root:

7.61=c^2

This can just be rounded to 7.6

This looks like C

So that is your first answer.

Next we have a table.

We need to look at the section of people that have both brown hair and eyes.

When I look at the table, I see 30 people whom how both these charcteristics.

When you looka the total people in the bottom right corner, you see that there are 120 people.

We do not even need to calculate percentage.

30 is 1/4 of 120.

What is 1/4 of 100%

25%

So the people with both brown eye/hair color is 25%

THis looks like answer A

I hope this helps! :)

The answer is b becasue its subtraction

Step-by-step explanation:

Polynomials are closed under an operation if it produces a polynomial.

5x⁴, x² + 2x + 1 and x³ - 10x³ + 28x - 15

are all polynomials of x.

x - 3 + (-3)/(x - 2) is not a polynomial because x can be found in the denominator of a fractional term.

The answer is Option A.

Listen In Excel we can use the RAND function inside an IF function to simulate whether some event occurs or does not occur  is True. because In Microsoft Excel, you can use the RAND function inside an IF function to simulate whether an event occurs or doesn't occur.

The RAND function generates a random number between 0 and 1. You can use this function in an IF statement to determine whether a certain condition is met, such as whether the generated number is greater than or equal to a certain probability.

For example, if you wanted to simulate a 50/50 chance of an event occurring, you could use the following formula: =IF(RAND() >= 0.5, "Event Occurs", "Event Doesn't Occur").

In this case, if the random number generated by the RAND function is greater than or equal to 0.5, the IF function will return "Event Occurs". If not, it will return "Event Doesn't Occur".

To know more about RAND function click on below link:

https://brainly.com/question/14675305#

#SPJ11

The scientific notation form of the given number 1,345,080,000 is 1.34508 × 10⁹.

Given the number in the question;

1,345,080,000

To convert to scientific notation;

First, move the decimal so there is one non-zero digit to the left of the decimal point.

Now, the number of decimal places you move will be the exponent on the 10

Note that; if the decimal is being moved to the right, the exponent will be negative, also, If the decimal is being moved to the left, the exponent will be positive.

1.345080000

We moved 9 decimal places to the left

1.34508 × 10⁹

Therefore the scientific notation form of the given number 1,345,080,000 is 1.34508 × 10⁹.

Learn more about scientific notation here: https://brainly.com/question/18073768

#SPJ1

The answer would be 6,000,000

Answer:

I can confirm the answer is:

D. 40 units

Step-by-step explanation:

I just took the test on edge and got it right!

The perimeter of the Δ QSU is given as 40 units. (Option D). See explanation below.

We can derive the perimeter by stating:

2x = x + 3 ⇒ x = 3

This is because Δ RSC ≅ Δ TSC

RS = 2 x 3 = 6 = ST

This is because ΔQRC ≅ ΔQVC

TV = VU = 4; we know this because
ΔCVU ≅ Δ CTU

Thus

QR = QV = 10

CΔQSU = 10 + 6 + 10 +14

= 40 Units.

Learn more about perimeter of triangles at:
https://brainly.com/question/24382052
#SPJ9

∫∫∫e f(x, y, z) dV can be expressed as ∫∫∫e f(x, y, z) dz dy dx for the given solid e bounded by y = 4 - \(x^{2}\) \(z^{2}\) and y = 0.

To express the integral as an iterated integral, we consider the order of integration. In this case, we start with the innermost integral, which integrates with respect to z. The limits of integration for z are determined by the bounds of the solid e, which are given by the surfaces y = 0 and y = 4 - \(x^{2}\) \(z^{2}\)

Next, we move to the middle integral, integrating with respect to y. The limits of integration for y are determined by the intersection points of the surfaces y = 0 and y = 4 - \(x^{2}\) \(z^{2}\). In this case, y ranges from 0 to the value of y determined by the equation 4 - \(x^{2}\) \(z^{2}\) = 0.

Finally, we integrate with respect to x, where the limits of integration for x are determined by the bounds of the solid e. These bounds can be determined by finding the values of x that satisfy the equation 4 - \(x^{2}\) \(z^{2}\) = 0.

learn more about iterated integral here:

https://brainly.com/question/31851695

#SPJ11

Answer:

\((s-r)(x)=x^2-x+1\)

Step-by-step explanation:

Answer:

There are 2 parts of the equation

The first answer to answer is (2x+1)--(-x2+3x)

The second answer is x2--x+1

Step-by-step explanation:

I hope you have a wonderful day!!

Love you all!!

Answer:

slope is 2 ,, y intercept is 5

Step-by-step explanation:

y=mx+c

m represents slope

c represents y intercept

Answer:

From the given information the answer should be m angle e= 105 degrees.

Step-by-step explanation: Well you have triangle PQR equal to triangle DEF. That means it has the same angle measurement as well as side measurement. You would add 13 and 62 to sum to 75. Then we know triangles equal 180 degrees. Then subtract 75 from 180 to get 105 degrees.

Answer:

1/3

Step-by-step explanation:

The probability that you will draw a heart is 1/3, the correct option is 3.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Number of cards=  6 hearts, 4 clubs, and 8 spades

Now,

To find the probability of drawing a heart, we need to divide the number of hearts by the total number of cards in the pile. The number of hearts is 6 and the total number of cards is 6 + 4 + 8 = 18.

The probability of drawing a heart is 1/18=1/3

Therefore, by probability the answer will be 1/3.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Answer:

 X=32°

 Y=122°

Z=58°

Step-by-step explanation:

 X+73°+75°=180° (interior angles of a triangle adopts to 180°)

 X=180°-148°

 X=32°

 32°+Y+26°=180°(interior angles of a triangle adopts to 180°)

 Y=180°-58°

 Y=122°

Y+Z=180(angle on straight line adopts to 180°)

Z=180°-122°

Z=58°

Answer:

x=32, y=122, z=58

Step-by-step explanation:

\(Lets\ consider\ the\ quadrilateral\\Angle\ 1=73\\Angle\ 2=75\\Let\ angle\ 3\ be\ w\\\ We\ observe\ that,\\26+w=180 [Linear\ Pair]\\w=180-26\\w=154\\Hence,\\w+z+73+75=360[Angle\ Sum\ Property\ of\ A\ Quadrilateral]\\z+154+73+75=360\\z+302=360\\z=58\)

\(We\ now\ observe\ that,\\Angle\ z\ and\ Angle\ y\ form\ a\ linear\ pair\ and\ hence\ are\ supplementary.\\z+y=180\\58+y=180\\y=122\)

\(Hence,\\As\ y,26\ and\ x\ form\ a\ triangle, \\Through\ Angle\ Sum\ Property\ of\ a\ triangle\ they\ are\ supplementary \\Hence,\\26+x+y=180\\26+x+122=180\\x+148=180\\x=32\)

Answer: 1.567 × 10⁹

Step-by-step explanation:

1.6 × 10⁹ = 1.6 × 1000000000 = 1,600,000,000

3.3 × 10⁷ = 3.3 × 10000000 = 33,000,000

1,600,000,000 - 33,000,000 = 1,567,000,000

10⁹ = 1,000,000,000

1.567 ×  1,000,000,000 = 1,567,000,000

Hope this helps!

Answer:

\( r = \sqrt{\dfrac{V}{\pi h}} \)

Step-by-step explanation:

V = πr²h

Switch sides.

πr²h = V

Divide both sides by πh.

r² = V/(πh)

Take the square root of both sides.

r = √[V/(πh)]

\( r = \sqrt{\dfrac{V}{\pi h}} \)

Answer:

∠9 and ∠12

Step-by-step explanation:

Supplementary angles are two angles that add up to 180. Looking at all the answer choices, A, C, and D have either Big-Big angle or Small-Small angle. What we need is Big-Small angle that is next to eachother, which is ∠9 and ∠12.

Hope this helped.

(Also sorry!)

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°.

Learn more about semicircle here:

https://brainly.com/question/29140521

#SPJ11

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.

Learn more about Inscribed Angle Theorem here:

https://brainly.com/question/5436956

#SPJ11

The required percentage of the stadium is 30.4%.

If there are 13,920 people in the stadium, the percentage of the stadium that is full can be calculated by dividing the number of people by the total capacity of the stadium and then multiplying by 100. Let's assume the total capacity of the stadium is 20,000.

The percentage of the stadium that is full = (13,920/20,000) x 100 = 69.6%

Therefore, 69.6% of the stadium is full.

To calculate the percentage of the stadium that is empty, we can subtract the percentage of the stadium that is full from 100.

Percentage of stadium that is empty = 100% - 69.6% = 30.4%

Therefore, 30.4% of the stadium is empty.

Learn more about percentage here,

https://brainly.com/question/31613203

#SPJ11

Answer:

85

Step-by-step explanation:

The t-test statistic is used to evaluate whether there is any significant difference between the mean hourly wages.

To evaluate whether there is a statistically significant difference between the means of two variables, a t-test is an inferential statistic that is utilized.

A statistical test for assessing hypotheses is the t-test.

The difference between the means from each data set, the standard deviation of each group, and the total number of data values are the three basic data values needed to do a t-test.

There are independent and dependent T-tests.

The problem statement is established mathematically by using a sample from each of the two sets in the t-test. It presupposes that the two means are equal, which is the null hypothesis.

Learn more about t-test here:

https://brainly.com/question/6589776

#SPJ4

Answer:

A≈38.48cm²

Step-by-step explanation:

Answer:

38.48 cm²

Step-by-step explanation:

Area of a circle goes by the formula πr²

Substitute in the value of r;

area = π(3.5)²

= 38.48451 cm²

~ 38.48 cm² (2 d.p.)

Answer:

Step-by-step explanation:

The sum of the interior angles in a polygon can be calculated using the following formula:

(n - 2) * 180 degrees

where n is the number of sides in the polygon.

To understand why this formula works, let's consider a single interior angle in the polygon. Each interior angle is split into two equal angles that form a straight line. The sum of these two angles is 180 degrees. Now, if we look at all the interior angles in the polygon, we can see that they are divided into (n - 2) pairs of angles that form straight lines. This means that the sum of all the interior angles in the polygon is (n - 2) * 180 degrees.

For a hexagon, which has 6 sides, we can plug in n = 6:

(6 - 2) * 180 = 4 * 180 = 720 degrees

So, the sum of the interior angles in a hexagon is 720 degrees.

If Laura had 2 good pictures for every 3 bad pictures, we can calculate the total number of pictures she took by considering the ratio between good and bad pictures.

Let's assume x represents the number of bad pictures Laura took. According to the given ratio, she had 2 good pictures for every 3 bad pictures. Therefore, the number of good pictures can be expressed as (2/3) * x.

Since we know that Laura took a total of 72 good pictures, we can set up the equation:

(2/3) * x = 72

To solve for x, we can multiply both sides of the equation by (3/2):

x = (72) * (3/2)

x = 36 * 3

x = 108

Therefore, Laura took a total of 108 bad pictures.

To find the total number of pictures she took in all, we can add the number of good and bad pictures:

Total pictures = Good pictures + Bad pictures

Total pictures = 72 + 108

Total pictures = 180

Therefore, Laura took a total of 180 pictures.

To know more about good pictures:- https://brainly.com/question/32490653

#SPJ11

The interval of convergence for f is (-1, 1). To determine the intervals of convergence for the function f(x), we need to consider the power series representation of the function.

The given function is f(x) = Σ\((x^n / n^2)\) from n = 1 to infinity.

We can use the ratio test to determine the convergence of the series:

Let \(a_n = x^n / n^2\). Taking the ratio of the (n+1)-th term to the n-th term:

\(|a_(n+1) / a_n| = |(x^(n+1) / (n+1)^2) / (x^n / n^2)|\)

               \(= |x / (n+1)| * (n^2 / (n+1)^2)\)

               \(= |x / (n+1)| * (n^2 / (n^2 + 2n + 1))\)

               \(= |x / (n+1)| * (1 / (1 + 2/n + 1/n^2))\)

               \(= |x / (n+1)| * (1 / (1 + 2/n + 1/n^2))\)

As n approaches infinity, the term |x / (n+1)| tends to zero. The term \((1 / (1 + 2/n + 1/n^2))\) approaches 1.

Therefore, \(|a_(n+1) / a_n|\) tends to zero as n approaches infinity. By the ratio test, the series converges for all values of x.

To determine the interval of convergence, we need to find the values of x for which the series converges absolutely.

Considering the edge cases, when x = -1 and x = 1, the series becomes the alternating harmonic series, which converges. Hence, the interval of convergence is (-1, 1).

The interval of convergence for f'(x) and f''(x) will be the same as f(x), which is (-1, 1).

To learn more about function, click here: brainly.com/question/11624077

#SPJ11

An iterative procedure is used to find the root of a nonlinear equation.

The absolute relative approximate error is found to be 0.004%. The number of significant digits that are correct can be calculated as follows: Suppose that r is the actual root, and x is the approximation that has been obtained. Then, the absolute error is :abs(r-x)And, the relative error is: abs(r-x)/r Hence, the absolute relative approximate error (arae) can be written as follows:|r - x|/|r| = 0.004%, which implies |r - x| = 0.004% |r| Divide both sides by

|r|:|r - x|/|r| = 0.00004|r|/|r| - |x|/|r| = 0.00004,

Divide both sides by 0.00004:|x|/|r| - 1 = 0.00004,

This can be rewritten as:|x| = |r| (1 + 0.00004),

Thus, the number of significant digits that are at least correct can be calculated using the following formula:

log10 (|x|/|r|) = log10 (1.00004) ≈ 0.00004

There is at least one significant figure in the answer.

To know more about nonlinear visit:

https://brainly.com/question/29299980

#SPJ11

Answer:

x = -13

Step-by-step explanation:

Step 1: Write equation

-104 = 8x

Step 2: Divide both sides by 8

x = -13

Step 3: Check

Plug in x to verify it's a solution.

-104 = 8(-13)

-104 = -104

Answer:

x= -13

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.  

-104 divide 8