Solve by factoring


-3x^2-11x+2=0

Answer:

There could be 12 red pens and 21 black pens

Step-by-step explanation:

(1). ΔIJH ≅ ΔKHJ, by SSS criterion,

and (2) we need,  ΔTNS and ΔUHS are right-triangles and S is the mid-point to prove  ΔTNS ≅ ΔUHS, by HL criterion.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

We have the triangle:

ΔIJH ≅ ΔKHJ.

To prove the congruent by SSS:

We have to show that three sides of the triangle are congruent to three sides of  the other triangle.

Here,

IJ ≅ KH.

IH ≅ JH, Given.

And both triangles share the same side JH.

So,

JH ≅ JH

So, ΔIJH ≅ ΔKHJ, by SSS criterion.

ΔTNS ≅ ΔUHS.

To prove the congruent by HL:

We have to show that the triangles are right-triangle and one leg and hypotenuse of the triangle is congruent to one leg and hypotenuse of the other triangle.

So, we need;

ΔTNS and ΔUHS are right-triangles.

S is the mid-point.

So,

SN ≅ SH.

ST ≅ US

So, ΔTNS ≅ ΔUHS, by HL criterion.

Therefore, ΔIJH ≅ ΔKHJ, by SSS criterion and we need;

ΔTNS and ΔUHS are right-triangles and S is the mid-point.

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The value of the fourth power of the expression is 1679616.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, an expression: 6/d -10c - c, where c = -3 and d= 2

Solving the expression, we get,

6/2-10(-3)-(-3)

= 3+30+3

= 36

We are asked to find the fourth value of 36,

(36)⁴ = 36 × 36 × 36 × 36 = 1679616

Hence, the value of the expression is 1679616.

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The modifications and their effects on the ecosystem include:

With the construction of the Los Angeles aqueduct, water was transported to the west such that many desert regions there became lush urban areas and farmlands.

Large high ways and the damming of the Colorado River did not have such a good impact however, as they both led to runoff and to water bodies in the Owen valley drying up.

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she will be able to knit 13 scarfs

Given ,

To Find : Scarfs Mr John will be able to make if he has 30.42 yards of yarn

2.34 yards of yarn = 1 scarf

30.42 yards of yarn = [tex]\frac{30.42}{2.34}[/tex]

                                 = 13 scarfs

Hence , the number of scarfs Mr John will make with 30.42 yards of yarn is 13

Answer:

$2

Step-by-step explanation:

Using the law of sines, it cannot be affirmed whether the conditional is true or false, as we have no information about the measure of angle B.

We suppose a general triangle, for which:

The lengths and the sine of the angles are proportionally related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

The segments in this problem are given as follows:

Hence it can be affirmed that:

BC > AB.

As the measure of angle A is greater than the measure of angle C, hence sin(A) > sin(C) and BC > AB, using the proportional relationship.

As for segment AC, we need the measure of angle B, hence nothing can be affirmed.

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Using the expand and trade subtraction the mistake Jordan made was not crossing 400 to 300

1 is carried form 4 to 5 then to 3 to get 13

The expanded form of subtraction makes is easier to conceptualize the subtraction, however it has some techniques that should be in mind in other to handle the techniques correctly

The numbers used in the subtraction is examined

453 and 254

the ones have it that 3 in "453" is less than 4 in "254" and hence will require 1 form 5.

When this happens, in the tens, 5 in "453" will turn to 4 and will be less than the 5 in "254" and will requires 1 from 4 in "453" in hundreds

At this point 4 in "453" is in hundreds and will turn to 300

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The equation that correctly solves the formula of r is r = [tex]\sqrt{\frac{A}{4\pi } }[/tex]

The concept here is the concept of subject of the formula.

The variable being calculated is the formula's subject. On one side of the equals sign, it is identifiable as the letter on its own. For instance, the subject of the formula for the area of a rectangle is A = b h (area = base height).

The formula given was A=4πr^2h, then we can r the subject of the formula as

r^2 = A /4π

Then r = [tex]\sqrt{\frac{ A }{4\pi } }[/tex]

Therefore, option B iscorrect.

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missing options:

A) r = 4πA B) r = A 4π C) r = A 4π D) r = A 4π

Answer:

20.25

Step-by-step explanation:

6.75 times by 3 is 20.25

The slope of the line, given the point on the line and the y - intercept, is - 5. 33

The slope of a line tells us the relationship between the dependent variable and the independent variable. In other words, it tells us what a change in the independent variable leads to in the dependent variable.

The slope can be found in the slope - intercept formula form of :

y = mx + b

m is the slope

b is the y - intercept

We have the y - intercept and a y and x value in ( -3, 6 ) so the slope is:

6 = - 3 ( m ) + ( - 10 )

6 = - 3m - 10

- 3m = 6 + 10

- 3 m = 16

m = 16 / - 3

m = - 5. 33

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Answer:

Step-by-step explanation:

One side of a square field is 92m. Find the cost of raising lawn on the field at the rate of 1.50 per sq.m

Square area = l²

Square area = 92²

Square area = 8466 m²

Cost = Area × rate of 1.50 per sq.m

Cost = 8466 × 1.50

Cost = 12696

Answer:

Since the apparent height h of the tower varies inversely with Corin's distance d from the tower, we know that h and d are inversely proportional. This means that the product of h and d is constant. We can write this relationship as:

hd = k

where k is a constant.

We can find the value of k by substituting the known values of h and d:

9 inches * 800 feet = k

Solving for k, we find that k = 7200 inches * feet.

Since h and d are inversely proportional, we can write the inverse relationship as:

d = k / h

Substituting the value of k that we found earlier, we have:

d = 7200 inches * feet / h

To find the apparent height of the tower if Corin is standing 2000 feet away, we can substitute 2000 for d in the equation above:

h = 7200 inches * feet / 2000 feet = 3.6 inches

Therefore, the apparent height of the tower would be 3.6 inches if Corin is standing 2000 feet away.

Step-by-step explanation:

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

Slope "m"

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~

( 4 , - 7 )

m = [tex]-\frac{1}{2}[/tex]

y - ( - 7 ) = [tex]-\frac{1}{2}[/tex] ( x - 4 )

y + 7 = [tex]-\frac{1}{2}[/tex] ( x - 4 )

The value of hydronium ion concentration in the vinegar is 3.162×10^-3 (optionD)

pH is defined as the negative log of the hydrogen ion concentration. The range of pH extends from zero to 14. A pH value of 7 is neutral, because pure water has a pH value of exactly 7.

pH can also be defined as the measure of acidity and alkalinity of a substance.

pH = –log(H+)

Therefore (H+) = 10^-(pH)

For a pH of 2.5, the hydronium ion concentration

= 10^-2.5

(H+) = 0.003162 = 3.162×10^-3

Therefore hydronium ion concentration of the vinegar is 3.162×10^-3

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Answer:

Step-by-step explanation:

34x60

60 minutes in a hour

34x60=204

204+204= 408

408 copies in 2 hours

Answer:

4080

Step-by-step explanation:

First you would multiply 34 by 120. After you multiply those numbers you should get 4080 as your answer.

Work Shown:

75+54m

75+54*10

75+540

615

Answer:

10

Step-by-step explanation:

[tex] \sqrt{26 {}^{2} - 24 {}^{2} }[/tex]

[tex] = \sqrt{676 - 576} [/tex]

[tex] = \sqrt{100} [/tex]

[tex] = 10[/tex]

Answer: 10

Step-by-step explanation: You can use the Pythagorean theorem which is a^2+b^2=c^2. Plug in the numbers that you already have and square them to find the answer, which is 10. Hope this helps! If you need more of an explanation pls let me know ;)

We will solve the expression:

(3 + 5)*5 - 20*(2 + 5)

Step by step, and we will get the solution -100.

Here we want to solve the following expression:

(3 + 5)*5 - 20*(2 + 5)

The first thing that you need to solve when working in these type of problems, are the operations inside the parenthesis, then we will get:

(3 + 5)*5 - 20*(2 + 5) = (8)*5 - 20*(7)

Now we need to solve the two products, we will get:

(8)*5 - 20*(7) = 40 - 140 = -100

Thus, the solution of that expression is -100.

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Step-by-step explanation:

{x : x < 100}

means all numbers smaller than 100. but that includes all negative numbers. so, NO.

{y|y > -0.1}

while this includes all positive numbers, it also includes all numbers between -0.1 and 0. e.g. -0.001

so, NO

{x|x in N}

N is the set of all natural numbers. that is the set of all positive integers.

so, YES

{y : 0 < y < 1}

that is all numbers between 0 and 1. that's are only positive numbers between 0 and 1.

so, YES

{x|x in Z}

Z is the set of all integer numbers (including the negative ones). so, NO

{y : 3 <= y < 22}

ask numbers between 3 and 22, including 3. there are only positive numbers, as there cannot be suddenly a negative number between 2 positive numbers.

so, YES.

All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.

A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable.  There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines

given

Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.

-Variable: The expense of health care per year

400 clients were used as a sample in this study by the insurance business.

The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.

-Parameter: The annual average cost of health care for all customers of the insurance provider.

All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.

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Answer:

-2[tex]t^{3}[/tex] + 5t - 1

Step-by-step explanation:

(7[tex]t^{3}[/tex] + 3t - 1) + (-9[tex]t^{3}[/tex] + 2t)

7[tex]t^{3}[/tex] - 9[tex]t^{3}[/tex] + 3t + 2t - 1  Combine like terms

-2[tex]t^{3}[/tex] + 5t - 1

Like terms have to have the same variable and the same exponents to be like terms.

The 3 year simple interest at 4% will be $38,192.

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

The principal amount = $34,100

Interest rate = 4%

Time = 3 years Now,

Since, We know that;

Where, A is final amount.

P is principal amount.

r is interest rate.

t is time.

Substitute all the values, we get;

A = $34,100 (1 + 4/100)³

A = $34,000 (104/100)³

A = $34,000 × 104/100 × 104/100 × 104/100

A = $38,192

Thus, The Simple interest will be $38,192.

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I'm assuming x and y intercepts which would be (2.5,0) and (0,10)

So the formula to find the volume of a cone is,

[tex]V = \pi r^{2} \frac{h}{3}[/tex]

Given,

To Find : The Volume of the cone

Applying the values we get,

[tex]V = 3.14X(3)^{2} X \frac{11}{3}[/tex]

[tex]V = 28.26X\frac{11}{3}[/tex]

[tex]V = 103.62in^{3}[/tex]

Hence , the volume of the cone is 103.62in³

On solving the provided question, we can say that - here the value of exponential equation is 648/1296 = 0.5

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where

So, the equation is

[tex]3(2x^3y^5)^3/ (2x^6y^3)^4[/tex]

and x=y=1

so, 648/1296 = 0.5

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Answer:

24 minutes

Step-by-step explanation:

100% = 60 minutes is 100%

So that means that 40% = 24 minutes.