Which of the following is not a criterion for congruence of ∆ s a SAS B ASA C SSA D SSS?

Answer:

x = 135

Step-by-step explanation:

the 2 situations are similar with ratios of corresponding sides in proportion , that is

[tex]\frac{x}{54}[/tex] = [tex]\frac{90}{36}[/tex] ( cross- multiply )

36x = 54 × 90 = 4860 ( divide both sides by 36 )

x = 135

In order to maximize the number of bags with 9 balls he needs at least 32 bags.

9x + 11y = 304

To begin, solve for y so that you may graph it:

y = -9x/11 +304/11

Then look for the place where x has the largest possible value and x and y are both positive integers (keeping in mind that y1).

This is an important point (24,8). There are 24 bags of nine marbles and eight bags of eleven marbles.

Anand should put 9 marbles in 24 bags and 11 marbles in 8 bags, for a total of 32 bags.

Marble is a metamorphic rock made up of recrystallized carbonate minerals, the most common of which being calcite or dolomite. There are certain exceptions to the rule that marble is not foliated (layered).

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Answer:

x = -2, y = (1/9)

x = -1, y = (1/3)

x = 0, y = 1

x = 1, y = 3

x = 2, y = 9

Graph B

Step-by-step explanation:

f(x) = 3ˣ

y = 3ˣ

                  1

y = 3⁽⁻²⁾ = ------

                 9

                  1

y = 3⁽⁻¹⁾ = -------

                  3

y = 3⁽⁰⁾ = 1

y = 3⁽¹⁾ = 3

y = 3⁽²⁾ = 9

I hope this helps!

If 250 bricks are used to build a wall of 15 ft high then, there is total 1250 bricks will be used to build a wall that is 75 ft high.

Proportion:

A proportion is an equation between two ratios or rates that is useful in solving for a single unknown.

We have given that,

It takes 250 bricks to build a 15 ft high wall. Let us consider x bricks , is needed for a 75 ft high wall, use the ratio given for a 15 ft high wall and equate it to the ratio for the unknown number of bricks for a 75-ft high wall.

In making proportions, make sure that the rate on one side has the same units as the rate on the other as shown :

x/75 = 250/15

=> 15 × x = 250 ×75

=> x = 250×75/15

=> x = 1250

Thus, it will take 1250 bricks to build a wall 75 feet high.

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Answer:

Check below/above

Step-by-step explanation:

A) The graph passes through the point (0,1).

The domain is all real numbers.

The range is y>0.

B) it would be a linear equation that shifts the graph vertically.

C) the slope of an exponential function continues to increase, while the slope of a linear function stays the same.

a) With 98% confidence interval, the mean height of all college students is between 173.743 centimeters and 175.257 centimeters.

b) The possible size of our error if we estimate the mean height of all college students to be 174.5 centimeters is 0.976.

a) We want to construct a 98% confidence interval for the mean height of all college students.

Number of sample, n = 450

Mean, u = 174.5 centimeters

Standard deviation, s = 6.9 centimeters

For a confidence level of 98%, the corresponding z value is 2.33. This is determined from the normal distribution table.

We will apply the formula

Confidence interval = mean ± z × standard deviation/√n

It becomes

174.5 ± 2.33 × 6.9/√450

= 174.5 ± 2.33 × 0.325

= 174.5 ± 0.757

The lower end of the confidence interval is 174.5 - 0.757 =173.743

The upper end of the confidence interval is 174.5 + 0.757 =175.257

Therefore, with 98% confidence interval, the mean height of all college students is between 173.743 centimeters and 175.257 centimeters.

(b) The possible size of our error if we estimate the mean height of all college students to be 174.5 centimeters:

Thus, Error would be:

σ /√n

= 6.9/√50

= 0.976

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The area is 0.25

What is a tangent line?

The straight line that "just touches" the curve at a particular location is known as the tangent line (or simply tangent) to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.  A straight line has a slope of f'(c), where f' is the derivative of f, and is said to be tangent to a curve at a point x = c if it passes through the point (c, f(c)) on the curve. Space curves and curves in n-dimensional Euclidean space have a similar definition.

[tex]$$\begin{aligned}& f^{\prime}(x)=\frac{\mathrm{d}}{\mathrm{d} x}\left[x^3-2 x\right] \\& f^{\prime}(x)=\frac{\mathrm{d}}{\mathrm{d} x}\left[x^3\right]-\frac{\mathrm{d}}{\mathrm{d} x}[2 x] \quad \text { Sum } / \text { Rest rule } \\& f^{\prime}(x)=3 x^{3-1}-2 \quad \text { Power rule } \\& f^{\prime}(x)=3 x^2-2 \\&\end{aligned}$$[/tex]

Now finding tangent for a=-1,

[tex]\begin{aligned}& y=f^{\prime}(a)(x-a)+f(a) \\& y=f^{\prime}(-1)(x+1)+f(-1) \\& y=\left(3(-1)^2-2\right)(x+1)+(-1)^3-2(-1) \\& \mathbf{y}=\mathbf{x}+\mathbf{2}\end{aligned}$$[/tex]

For the first area,

[tex]$$\begin{aligned}& A_1: \int_{-2}^{-\sqrt{2}} x+2 d x=\frac{1}{2} x^2+\left.2 x\right|_{-2} ^{-\sqrt{2}} \\& A_1=\frac{1}{2}(-\sqrt{2})^2+2(-\sqrt{2})-\left(\frac{1}{2}(-2)^2+2(-2)\right) \\& A_1=\mathbf{3}-\mathbf{2} \sqrt{\mathbf{2}} \text { squared units } \\& \mathbf{A}_{\mathbf{1}} \approx \mathbf{0 . 1 7 1 5 7 2 8 7 6} \ldots\end{aligned}$$[/tex]

For the second area,

[tex]$$\begin{aligned}& A_2: \int_{-\sqrt{2}}^{-1} x+2-\left(x^3-2 x\right) d x=-\frac{1}{4} x^4+\frac{3}{2} x^2+\left.2 x\right|_{-\sqrt{2}} ^{-1} \\& A_2=-\frac{1}{4}(-1)^4+\frac{3}{2}(-1)^2+2(-1)-\left(-\frac{1}{4}(-\sqrt{2})^4+\frac{3}{2}(-\sqrt{2})^2+2(-\sqrt{2})\right) \\& A_2=-\frac{\mathbf{1 1}}{\mathbf{4}}+\mathbf{2} \sqrt{\mathbf{2}} \text { squared units } \\& \mathbf{A}_{\mathbf{2}} \approx \mathbf{0 . 0 7 8 4 2 7 1 2 4} \ldots .\end{aligned}$$[/tex]

Hence, required area is

[tex]$$\begin{aligned}& A=A_1+A_2 \\& A=3-2 \sqrt{2}-\frac{11}{4}+2 \sqrt{2} \\& \mathbf{A}=\frac{\mathbf{1}}{\mathbf{4}}=\mathbf{0 . 2 5}\end{aligned}$$[/tex]

The area is 0.25

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Answer:

91 cents per ounce

Step-by-step explanation:

Divide 13.59 by 15

Answer: $0.91

Step-by-step explanation:

Take $13.59 divided by 15 = $0.91 per ounce

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The quantity of coffee B in a 25 kg delux bag is 10kg

Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division. Here the dividend is called the 'antecedent' and the divisor is called the 'consequent'.

total division of the 25kg bag is 3 + 2 = 5

so that each division would weigh 25/5 = 5kg

coffee B has 2 division so that its total quantity is 5 x 2 = 10kg

In conclusion the total quantity of coffee B is 10kg

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Answer:

C

Step-by-step explanation:

3y+3=3y-3

taking the 3y from the right to the left and the 3 in the left to the right

3y-3y= -3-3

0=-6

taking the 3y from the left to the right and the 3 in the right to the left

3+3=3y-3y

6=0

Answer:

-------------------------------------

Set equation for area of given shape:

Simplify and solve for x:

Answer:

x = 2.5 mm

Step-by-step explanation:

A compound shape is made up of two or more basic shapes.

From inspection of the given compound shape, we can see that it is made up of two rectangles.

[tex]\boxed{\begin{minipage}{4 cm}\underline{Area of a rectangle}\\\\$A=w \cdot l$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\ \phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}[/tex]

Dimensions of the smaller rectangle:

Dimensions of the larger rectangle:

Therefore, the equation for the area of the compound shape is:

[tex]\begin{aligned}\implies \textsf{Area}&=x \cdot 4 + x \cdot (2x+3)\\&=4x+x(2x+3)\\&=4x+2x^2+3x\\&=2x^2+7x\end{aligned}[/tex]

Given the area of the compound shape is 30 mm², substitute this value into the found equation for area and solve for x:

[tex]\begin{aligned}\implies 2x^2+7x &=30\\2x^2+7x-30&=0\\2x^2+12x-5x-30&=0\\2x(x+6)-5(x+6)&=0\\(2x-5)(x+6)&=0\\\\2x-5&=0 \implies x=2.5\\x+6&=0 \implies x=-6\end{aligned}[/tex]

As length is positive, x = 2.5 mm only.

Answer:

[tex]\textsf{1)} \quad x=\dfrac{y-b}{a}[/tex]

[tex]\textsf{2)} \quad x=\dfrac{y+b}{a}[/tex]

[tex]\textsf{3)} \quad x=2y-2[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{aligned}&\textsf{Given}: \quad &y & =xa+b\\\\&\textsf{Subtract $b$ from both sides}: \quad & y-b&=xa+b-b \\\\&\textsf{Simplify}: \quad &y-b&=xa \\\\&\textsf{Divide both sides by $a$}: \quad &\dfrac{y-b}{a} &=\dfrac{xa}{a} \\\\&\textsf{Simplify}: \quad &\dfrac{y-b}{a} &=x\\\\&\textsf{Switch sides}: \quad & x&=\dfrac{y-b}{a}\end{aligned}}[/tex]

[tex]\boxed{\begin{aligned}&\textsf{Given}: \quad &y & =xa-b\\\\&\textsf{Add $b$ to both sides}: \quad & y+b&=xa-b+b \\\\&\textsf{Simplify}: \quad &y+b&=xa \\\\&\textsf{Divide both sides by $a$}: \quad &\dfrac{y+b}{a} &=\dfrac{xa}{a} \\\\&\textsf{Simplify}: \quad &\dfrac{y+b}{a} &=x\\\\&\textsf{Switch sides}: \quad & x&=\dfrac{y+b}{a}\end{aligned}}[/tex]

[tex]\boxed{\begin{aligned}&\textsf{Given}: \quad & y&=\dfrac{x+2}{2} \\\\&\textsf{Multiply both sides by $2$}: \quad & 2 \cdot y&=2 \cdot \dfrac{x+2}{2} \\\\&\textsf{Simplify}: \quad & 2y&=x+2 \\\\&\textsf{Subtract $2$ from both sides}: \quad & 2y-2&=x+2-2 \\\\&\textsf{Simplify}: \quad & 2y-2&=x \\\\&\textsf{Switch sides}: \quad &x&=2y-2\end{aligned}}[/tex]

Answer:

From A you go down to E, then to the right to F, down to J, to the right to K, up to G, up to C, right to D, down to H, and then the escape box dsvfhwvhvwhr,vhf

Answer:

im not sure but maybe it could be A.

Answer:

Domain:  (-∞, 1) ∪ (1, ∞)

Range:  (-∞, -2) ∪ (2, ∞)

Yes, it's a function.

Step-by-step explanation:

Information

The domain of a function is the set of all possible input values (x-values).

From inspection of the given graph:

Therefore, the domain is all values of x except x = 1:

The range of a function is the set of all possible output values (y-values).

From inspection of the given graph:

Therefore, the range is all values of y except between -2 and 2:

A function is a special type of relationship where each input (x-value) is related to exactly one output (y-value).

From inspection of the graph, as the two points where x = 1 are not included, each value in the range (y-values) corresponds to exactly one value in the domain, and so it is a one-to-one function.

The wave function that satisfies wave equation is D(x,t) = A cos(kx + ωt) that is option C is correct.

This wave function satisfies the wave equation because it can be rewritten as:

D(x,t) = A cos(kx) cos(ωt) - A sin(kx) sin(ωt)

And the left-hand side of the wave equation is simply the sum of the second derivatives of the two cosine and sine functions with respect to x, while the right-hand side is the product of the second derivative of the cosine function with respect to t and the second derivative of the sine function with respect to t.

For the transverse velocity of a particle at point x, the function is given by:

v(x,t) = -Aω sin(kx) cos(ωt) - Ak cos(kx) sin(ωt)

And for the transverse acceleration, the function is given by:

a(x,t) = -Aω^2 cos(kx) cos(ωt) + Ak^2 sin(kx) sin(ωt)

These functions can be derived by taking the first and second derivatives of the wave function with respect to time.

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A linear equation is used to prove the mathematical result that two linear expressions, or a linear expression and a constant, are not equivalent.

The mathematical assertion that two linear expressions, or a linear expression and a constant, are not equal is made via a linear equation.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

A mathematical equation must take the form y=mx+b in order to be classified as a linear function (in which m is the slope and b is the y-intercept).

Therefore, a linear equation is used to prove the mathematical result that two linear expressions, or a linear expression and a constant, are not equivalent.

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The 50% of students who passed the second exam also passed the first exam.

The question is about Conditional Probability. Conditional probability is defined as the measure of the probability of event A given that event B has already occurred. It is denoted by P(A | B). Also, the formula for finding the conditional probability is given below:
P(A | B) = P(A ∩ B)/P(B)         ....(1)
In the given question, We have the following information:
A = Students who passed both exams = 40% = 0.4
B = Students who passed only the second = 80% = 0.8
Now, Let
Probability of Students who passed the second exam and first exam = P (A | B) =?

We can find P(A | B) by putting the values of A and B in equation (1)
By putting values we get:
P (A | B) = [tex]=\frac{40\%}{80\%}[/tex] = [tex]\frac{0.4}{0.8}[/tex]

P (A| B) = 0.5 = 50%

So there are half or 50% of the students passed the second exam and also passed the first exam.

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Taking into account the definition of a system of linear equations, the price of one order of chicken nuggets and one chicken sandwich is $2.98 and $4 respectively.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

A solution to a system is an assignment of values to the unknowns that makes each of the equations true. Solving a system means finding all the solutions of the system.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

2x +3y= 17.96

4x + 2y= 19.92

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "y" from the first equation:

3y= 17.96 -2x

y= (17.96 -2x)÷3

y= 17.96÷3 - 2÷3x

y= 449/75 - 2/3x

Substituting the expression in the second equation:

4x + 2×(449/75 - 2/3x)= 19.92

Solving:

4x + 2×449/75 - 2×2/3x= 19.92

4x + 898/75 - 4/3x= 19.92

4x - 4/3x= 19.92 - 898/75

8/3x= 596/75

x= 596/75÷ 8/3

x= 2.98

Remembering that y= 449/75 - 2/3x, you get:

y= 449/75 - 2/3×2.98

y= 4

Finally, the price of one order of chicken nuggets is $2.98 and the price of one chicken sandwich is $4.

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Answer:

The answer is acually 54.3

Step-by-st

The area of the pyramid = 340 sq. inches

The area of a square pyramid= b^2+ 2.b.s

                                                  = 10^2 + 2*10*12

                                                  = 340 sq. inches

We can also find out the are by finding area of each sides

Area of square = 10*10 = 100 sq. inches

Area of triangle= 1/2( 12*10)

                           = 60

Area of four triangles = 4*60

                                    = 240

Total surface area = 240+100

                                = 340 sq. inches

Hence the total surface area is 340 sq. inches

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Answer:

d

Step-by-step explanation:

-x/3<5

-x< 5x3

-x<15

(there is an assumed 1 in front of the x)

-1x<15

x/-1<15* -1

x>-15

sign switches when we deal with negative values mutiplying and dividing

hope this helped<3

We relocate the decimal point such that there is just one non-zero digit in front of the decimal point to achieve "normal" scientific notation. 32 thus becomes 3.2.

What's standard form in math?

A number can be written in a certain style that adheres to regulations, which is known as its standard form.

Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 10^8.

32=3.2 × 10^1

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The width value if A rectangle has an area of 24 cm² are 8, 48, 0.5, 4, and non-defined.

The measurement that expresses the size of a region on a plane or curved surface is called an area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given:

A rectangle has an area of 24 cm²

The function of the area can be written as,

F(A) = l × b, b = A / l

Put l = 3

then b = 24 / 3 = 8 cm

Put l = 0.5

then b = 24 / 0.5 = 48 cm

Put l = 48

then b = 24 / 48 = 0.5 cm

Put l = -6

then b = 24 / -6 = -4 cm

Put l = 0

then b = 24 / 0  = non defined

Therefore, the width value if A rectangle has an area of 24 cm² are 8, 48, 0.5, 4, and non-defined.

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On solving the provided question, by multiplying the give polynomials, we got to know that -  [tex]( 3x^2 - 5x + 7) X (2x^2 + 6x - 4)[/tex] = [tex]6x^4 + 8x^3 - 28x^2 + 62x - 28[/tex], the coefficient of x3 is 8

An mathematical expression known as a polynomial requires that all of the variables' exponents be integers. Each polynomial variable's exponent must be an integer that is not negative. Although a polynomial is made up of a constant and a variable, it cannot be divided by a variable.

Given polynomials are -

[tex]( 3x^2 - 5x + 7) and (2x^2 + 6x - 4)[/tex]

By multiply the given polynomials, we got -

[tex]( 3x^2 - 5x + 7) X (2x^2 + 6x - 4)[/tex]

=  [tex]6x^4 + 8x^3 - 28x^2 + 62x - 28[/tex]

So, the coefficient of x3 is 8

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The percentage discount for the good bought by Nora is 17%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

In this situation, Nora has a loyalty card good for a discount at her local pharmacy. The item she wants to buy is priced at $28, before discount and tax. After the discount, and before tax, the price is $23.24.

The percentage discount will be:

= Discount / Original value × 100

= (28 - 23.24) / 28 × 100

= 4.76 / 28 × 100

= 17%

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Answer: A, B, C, E

Step-by-step explanation:

The correct option Rotate 90 counterclockwise about the origin, then translate 9 units right and 1 unit down, to get the image triangle DEF.

Translation:

Rotation 90 counterclockwise:

Thus, triangle transformation Triangle DEF is the congruent image produced by ABC. Turn the object 90 degrees counterclockwise, then move it 9 units to the right and 1 unit to the bottom.

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The exponential function is P(t)=60(4)^t that can be expressed in terms of feature of the subsequent form: f ( x ) = a x.

Initial population 'a'=60 rabbits

After 1 year, the rabbit population is 240.

An exponential feature is a mathematical feature of the subsequent form: f ( x ) = a x. wherein x is a variable, and a is a regular known as the bottom of the feature.

Equation of the exponential function.

y=ab^x

Put x=0, y=60

60=ab^0

a=60

Put x=1, y=240

240=60(b)^1

b=4

Thus,

y=60(4)^x

P(t)=60(4)^t

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