helpz

\( \quad \sf {x}^{2} + 4 = 0\)

find value of x ​

Answer:

a) \(f(x) = x + 9\)

b) 59 positive workers (FOR DAY 70)

c) Day 10

Step-by-step explanation:

X = Days

Y =  Positive workers

Answer:

its 605 miles

Step-by-step explanation:

If we take 110,408 and subtract 109,875 then it should equal 605

Answer:

Step-by-step explanation:

109,875

               =605

-110,480

Mark brainliest please if the answer is correct

B,C,D

Step-by-step explanation:

Answer:

eda periodt

Step-by-step explanation:

The length of segment GF in the triangle is 8 inches

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

The triangle

On the triangle, we have the following ratio

3 : 6 = 4 : GF

So, we have

GF = 6/3 * 4

Evaluate

GF = 8 inches

Hence, the length is 8 inches

Read more about similar triangles at

https://brainly.com/question/14285697

#SPJ1

for the bottom ones I assume you substitute x for the numbers in the table, such as 2•0 and 2•1

Answer:

y=-3x+2

Step-by-step explanation:

Answer:

\(-16\)

Step-by-step explanation:

\(-3 \cdot (7+(-3)^2) \div 3\)

To simplify this expression, use the order of operations (PEMDAS):

P arentheses

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

First, simplify what is in the parentheses.

\(7 + (-3)^2\)

Remember that any number squared ( \(\Box ^2\) ) is positive, so:

\((-3)^2 = 9\)

Therefore,

\(7 + (-3)^2\)

\(= 7 + 9\)

\(= 16\)

We can now replace the parentheses in the original expression with 16.

\(-3 \cdot (7+(-3)^2) \div 3\)

\(= -3(16) \div 3\)

Finally, simplify by multiplying and dividing.

\(-3(16) \div 3\)

\(= -48 \div 3\)

\(= -16\)

Answer:

Step-by-step explanation:

a₂ - a₁ = 20 - 4 = 16

a₃ - a₂ = 100 - 16 = 84

Since a₂ - a₁ ≠ a₃ - a₂, the sequence is not arithmetic.

a₂/a₁ = 20/4 = 5

a₃/a₂ = 100/20 = 5

Since a₂/a₁ = a₃/a₂ = 5, the sequence is geometric with a common ratio of 5.

Answer:

2.2 (n+4)

Step-by-step explanation:

It is shown that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |1/f(x) - 1/f(y)| < ε/(2kM) for all x, y in a. This proves that 1/f is uniformly continuous on a.

What is uniformly continuous?

Uniform continuity is a property of a function in which for any given value ε > 0, there exists a corresponding value δ > 0 such that for all pairs of points in the function's domain whose distance is less than δ, the difference in the function's values at those points is less than ε. In other words, a function is uniformly continuous if its rate of change does not vary significantly over its entire domain, and small changes in its input result in correspondingly small changes in its output.

To show that 1/f is uniformly continuous on a, we need to prove that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |1/f(x) - 1/f(y)| < ε for all x, y in a.

Given that f is uniformly continuous on a, we know that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |f(x) - f(y)| < ε/k for all x, y in a.

We also know that |f(x)| > k for all x in a.

Using these facts, we can begin by manipulating the expression |1/f(x) - 1/f(y)|:

|1/f(x) - 1/f(y)| = |(f(y) - f(x))/(f(x)f(y))|

Since |f(y) - f(x)| < ε/k, we can substitute this into the above expression:

|1/f(x) - 1/f(y)| < |(ε/k)/(f(x)f(y))|

Now, we need to find a way to relate f(x)f(y) to |x - y|.

Since f is uniformly continuous, we know that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |f(x) - f(y)| < ε/k for all x, y in a.

This implies that |f(x)f(y)| < k(f(x) + f(y)) < 2kM, where M is the supremum of |f(x)| over a.

Thus, we have:

|1/f(x) - 1/f(y)| < ε/(2kM)

Therefore, we have shown that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |1/f(x) - 1/f(y)| < ε/(2kM) for all x, y in a. This proves that 1/f is uniformly continuous on a.

To know more about Uniformly continuous visit:

https://brainly.com/question/31693678

#SPJ4

Answer:

a.) 4x = 2(x + 14)

b.) Measure of A = 56°

    Measure of B = 56°

Step-by-step explanation:

We know that,

When two lines are crossed by another line transversal line , the angles in matching corners are called corresponding angles.

Also,

When two lines are parallel then the Corresponding Angles are equal.

Given that,

A = 4x and B = 2(x+14).

i.e.

∠A = 4x and ∠B = 2(x+14)

a.)

Now,

As A and B are parallel

So,

∠A = ∠B

⇒4x = 2(x + 14)                  

(This is the equation that represent the corresponding angle relationship between A and B.)

b.)

Now,

⇒4x = 2x + 2(14)

⇒4x = 2x + 28

⇒4x - 2x = 28

⇒2x = 28

⇒x = 14

So,

we get

∠A = 4(14)

      = 56

⇒∠A = 56°

and

∠B = 2(14 + 14)

     = 2(28)

     = 56°

⇒∠B = 56°

∴ we get

Measure of A = 56°

Measure of B = 56°

The volume of grain in the silo when it is 60% filled is approximately 1178.1 cubic yards.

A closed surface or object's volume is determined by its three dimensions and is represented mathematically.

The following formula determines a cylinder's volume:

V = πr²h

where r is the radius of the cylinder and h is the height.

The diameter of the silo is 10 yards, so the radius is 5 yards. The height of the silo is 25 yards.

To find the volume of the silo, we need to first calculate its total capacity, which is the volume of a completely filled cylinder:

V_total = πr²h

V_total = π(5²)(25)

V_total = 625π

To find the volume of grain in the silo when it is 60% filled, we need to find 60% of the total capacity:

V_grain = 0.6V_total

V_grain = 0.6(625π)

V_grain ≈ 1178.1 cubic yards (rounded to the nearest tenth)

Therefore, the volume of grain in the silo when it is 60% filled is approximately 1178.1 cubic yards.

Learn more about volume , visit :

brainly.com/question/1578538

#SPJ1

Answer:

12:20

How do you write a ratio?

In order to write a ratio lets put it in a simple form.

Let B, be the number of boys and G, be the number of girls.

So the ratio is the following:

B:G.

Since there are 12 boys and 20 girls you can put it in this simple ratio:

12:20.

Thus, 12:20 is your ratio.

Learn more about writing ratios:

https://brainly.com/question/16446911

The cost per gallon of gasoline is given as follows:

$2.93.

The cost per gallon of gasoline is obtained applying the proportions in the context of the problem.

The parameters for this problem are given as follows:

Hence the cost per gallon of gasoline is given as follows:

44.25/15.1 = $2.93.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ4

The equation 16 + 22x = 3x² by factoring, we set it equal to zero and factor it to obtain (3x - 4)(x + 4) = 0. Then, by setting each factor equal to zero and solving for x, we find x = 4/3 and x = -4.

To solve the equation 16 + 22x = 3x² by factoring, follow these steps:
Step 1: Rewrite the equation in standard form by subtracting 16 from both sides: 22x = 3x² - 16.
Step 2: Rearrange the equation in descending order: 3x² - 22x - 16 = 0.
Step 3: Factor the quadratic equation. To do this, find two numbers that multiply to give -48 (the product of the coefficient of x² and the constant term) and add up to -22 (the coefficient of x). The numbers -24 and 2 satisfy these conditions.
Step 4: Rewrite the middle term using these numbers: 3x² - 24x + 2x - 16 = 0.
Step 5: Group the terms and factor by grouping: (3x² - 24x) + (2x - 16) = 0.
          3x(x - 8) + 2(x - 8) = 0.
          (3x + 2)(x - 8) = 0.
Step 6: Set each factor equal to zero and solve for x:
    3x + 2 = 0   -->   3x = -2  

-->   x = -2/3.
    x - 8 = 0  

-->   x = 8.
Step 7: Check the solutions by substituting them back into the original equation.
For x = -2/3: 16 + 22(-2/3) = 3(-2/3)²  

-->   16 - 44/3 = -4/3.
For x = 8: 16 + 22(8) = 3(8)²  

-->   16 + 176 = 192.
Both solutions satisfy the original equation, so x = -2/3 and x = 8 are the correct answers.

To know more about equation visit:

https://brainly.com/question/29657983

#SPJ11

The only solution that satisfies the equation is x = 8.

To solve the equation 16 + 22x = 3x² by factoring, we need to rearrange the equation to set it equal to zero.

Step 1: Rewrite the equation in descending order of the exponents:
3x² - 22x + 16 = 0

Step 2: Factor the quadratic equation:
To factor the quadratic equation, we need to find two numbers that multiply to give the constant term (16) and add up to the coefficient of the middle term (-22).

The factors of 16 are: 1, 2, 4, 8, 16
We can try different combinations to find the factors that add up to -22. After trying, we find that -2 and -16 satisfy the condition: -2 + (-16) = -18.

Now we rewrite the middle term (-22x) using these factors:
3x² - 2x - 16x + 16 = 0

Step 3: Group the terms and factor by grouping:
(3x² - 2x) + (-16x + 16) = 0
x(3x - 2) - 8(2x - 2) = 0

Step 4: Factor out the common factors:
x(3x - 2) - 8(2x - 2) = 0
(x - 8)(3x - 2) = 0

Now we have two factors: (x - 8) and (3x - 2). To find the values of x, we set each factor equal to zero and solve for x.

Setting (x - 8) = 0, we get:
x - 8 = 0
x = 8

Setting (3x - 2) = 0, we get:
3x - 2 = 0
3x = 2
x = 2/3

So the solutions to the equation 16 + 22x = 3x² are x = 8 and x = 2/3.

To check our answers, we substitute these values back into the original equation and see if they satisfy the equation.

For x = 8:
16 + 22(8) = 3(8)²
16 + 176 = 192
192 = 192 (True)

For x = 2/3:
16 + 22(2/3) = 3(2/3)²
16 + 44/3 = 4/3
48/3 + 44/3 = 4/3
92/3 = 4/3 (False)

Therefore, the only solution that satisfies the equation is x = 8.

Learn more about  quadratic equation:

https://brainly.com/question/15952797

#SPJ11

Therefore, Bob must pay $2530 in income tax for last year if Bob made 15,000 in taxable income last year.

The basis of an income tax system is referred to as taxable income. In other words, the amount of revenue that was subject to taxation.

Revenue is the entire amount of money made through the sale of products and services that are essential to the business's core activities.

The first $8000 of Bob's taxable income is taxed at 15%:

Tax on first $8000 = $8000 * 0.15 = $1200

The remaining $7000 of Bob's taxable income is taxed at 19%:

Tax on remaining income = $7000 * 0.19 = $1330

Total tax = $1200 + $1330 = $2530

So Bob must pay $2530 in income tax for last year.

To know more about taxes visit: https://brainly.com/question/16423331

#SPJ4

In the psychoanalytic tradition, the projection of feelings onto members by the leader is called: c) Countertransference.

Countertransference refers to the phenomenon where a therapist or leader projects their own emotions, experiences, or unresolved issues onto the individuals they are working with. It is a concept rooted in Sigmund Freud's psychoanalytic theory and is an important aspect of the therapeutic relationship.

When a leader experiences countertransference, they may unconsciously attribute their own thoughts, feelings, or motivations to the members of their group. This projection can distort the leader's perception of the group members and influence their interactions and decision-making processes. It can also hinder the leader's ability to provide objective and unbiased guidance or support.

Countertransference can arise due to various reasons, such as personal history, unresolved conflicts, or parallel experiences with the group members. It is essential for leaders to be aware of their countertransference reactions and work through them to maintain professional boundaries and provide effective leadership.

By recognizing and addressing countertransference, leaders can gain insight into their own emotional reactions and separate them from the experiences of their group members. This self-awareness enables leaders to approach their role with greater objectivity, empathy, and understanding.

Learn more about countertransference

brainly.com/question/30925426

#SPJ11

Step-by-step explanation:

I assume the points D, E and C are also collinear (are on the same straight line).

that is something your teacher forgot to mention. but it is essential.

we have to remember :

1. the sum of all angles in a triangle is always 180°.

2. the sum of all angles around a single point on one side of a line is also always 180°.

3. the angles at the intersection point of 2 lines are the same on both sides of any of the intersecting lines, but they are left-right mirrored.

so,

angle A = 30°

angle DEB = 130°, so,

angle AED = 180 - DEB = 180 - 130 = 50°.

therefore, angle BEC = AED = 50°

therefore, angle D = 180 - 30 - 50 = 100°.

we know, angle B = 90° (AB is perpendicular to BC).

therefore,

angle C = 180 - 90 - 50 = 40°

The length of the cuboid is 16 mm

In this question, we have been given a  cuboid having height of 42 mm

and a width of 8 mm.

Also, the volume of the cuboid is 5376 mm³.

We know that, the volume of the cuboid is V = length × width × height

Here, width = 8 mm

height = 42 mm

V = 5376 mm³

We need to find the length of the cuboid.

V = length × width × height

5376 = length × 8 × 42

length = 5376 / 336

length = 16 mm

Therefore, the length of the cuboid is 16 mm

Learn more about the volume of the cuboid here:

https://brainly.com/question/19754639

#SPJ1

Answer:

67

Step-by-step explanation:

no

The red sweaters at the store are made of pure wool = 50

What is Relation ship between store and sweater?

It is assumed that you reside in a region with harsh winters. We'll have to let our Vancouver pals use a little of their imagination.

The supply and demand for premium, warm winter sweaters is seen in the graph below.

When I first saw it in December, the sweater we desire costs 300. It's warm, lovely, and black, but costs more than  like to spend. I am hoping for a price reduction before it gets too cold in January because the weather has been mild.

When January finally arrives, the weather is unusually pleasant. When I go back to the store, the sweater is now 25% discounted. That's 225, hmm. It's still pricey, and the weather isn't all that chilly. I wait in the hopes of getting a better deal.

Concept:

Of the 800 sweaters in a certain store, 150 are red. We can also infer from the stem that 650 are not red

a) 320 of the sweaters at the store are neither red nor made of pool wool. We can infer that 330 are wool but not red

b) 100 of the red sweaters at the store are not made of pure wool.

From this, we can infer that 50 are both red and wool

see the attachment for the solution of the table a & b

To Learn more about Store visit:

brainly.com/question/18799708

#SPJ4

The triangles are congruent by ide angle side property, and the reason for the equal angles is that alternate interior angles are congruent.

A triangle is a closed polygon with three line segments that intersect at each of its three angles.

When the sides and angles of two triangles match, the triangles are said to be congruent. Consequently, it is possible to superimpose two triangles side by side and angle by angle.

Given CDEF is a perallelogram,

to prove ΔCDE ≅ ΔEFC

so CD ║ EF  (from parallelogram)

since opposite sides of the parallelogram are parallel,

so EC and DF work as the transverse line,

here ∠DCE and ∠FEC are alternate interior angles,

and alternate interior angles are congruent with the parallel lines.

∠DCE = ∠FEC and ∠DEC = ∠FCE  (alternate interior angles are congruent)

CE = CE (common side)

ΔCDE ≅ ΔEFC (SAS property)

Hence triangles are congruent and angles are equal because alternate interior angles are congruent.

Learn more about Congruent Triangles;

https://brainly.com/question/22062407

#SPJ1

The probability that student chosen at random is 16 years is 0.28.

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

learn more on probability here: https://brainly.com/question/23776861

#SPJ1

Answer:

Mapping A

Step-by-step explanation:

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

Learn more about Perimeter of a rectangle at

https://brainly.com/question/29595517

#SPJ4

Answer:

5 people

Step-by-step explanation:

Let's find LCM of 4, 10 and 20:

LCM(4,10,20) =2*2*5 =  20

There are 100/20 = 5 twenties in 100

So every 20th person will get all 3 prizes, in total 5 people

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

To know more about mathematical operations visit:
https://brainly.com/question/8959976

#SPJ9