Determine whether the given is a polynomial in one variable or not:

Polynomial: 4x^2-3x+7
​

Answer: B) y=2x+1

Step-by-step explanation:

These are in slope intercept form which is y=mx+b

where m is the slope and b is the value of the y intercept

Since the y-intercept is 1 on this line that leaves us with A, B, and C

Using the communitive property on the equation in C we can make the equation go from y=1-2x to y=-2x+1

This is the same answer as A and since there can't be two of the same answer leaves B as the only possible answer.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(B)\text{ } y=2x+1\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

We can double check by algebraically working it out:

\(\boxed{\text{Slope:}}\\\\\text{Two points on the graph are } (-2,-3) \text { and } (1,3).\\\\m = \frac{3-(-3)}{1-(-2)}\\\\m= \frac{6}{3}\\\\\boxed{m=2} \\\\\text{The slope is 2.}\)

⸻⸻⸻⸻

\(\boxed{\text{Y-Intercept:}}\\\\\text{The line passes through point (0, 1). The y-intercept is 1.}\)

⸻⸻⸻⸻

\(\text{Using a slope intercept equation, we can develop the equation: } \boxed{y =2x+1}\).

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

As a result, **(4,15)** is the ordered pair that solves the system of equations.

A group or collection of two or more equations that share the same variables is known as a system of equations. The points where the equations cross are the typical solutions. The existence and uniqueness of the solution are influenced by the quantity of equations and unknowns. The classification of a system of equations is similar to that of a single equation

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system

In order to identify the ordered pair that resolves the set of equations:

y = 4x - 1

2x + y = 23

The first equation can be used in place of the second equation:

2x + (4x - 1) = 23

When we simplify this equation, we obtain:

6x - 1 = 23

We obtain: by adding 1 to both sides:

6x = 24

When we multiply both sides by 6, we get:

x = 4

In order to determine y, we can now change the first equation to read x = 4:

y = 4(4) - 1

y = 15

*(4,15)** is the ordered pair that solves the system of equations.

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Reliability refers to the consistency or stability of a measure over time or across different raters or conditions.  The true score and measurement error differs in consistency.

A measure is considered reliable if it produces consistent and accurate results. In other words, if the same measure is taken multiple times, it should yield similar results.

True score is the score that a person would receive if the measure was completely error-free and measured the construct perfectly. However, in reality, all measures have some degree of measurement error, which is the degree to which the obtained score differs from the true score due to factors such as random variation, observer bias, or test-taker factors.

To distinguish between true score and measurement error, imagine a target with a bull's eye at the center. The true score is the score that hits the bull's eye, indicating that the measure accurately captures the construct being measured.

Measurement error, on the other hand, is the deviation from the bull's eye caused by factors such as inconsistency, bias, or noise in the measurement process.

There are different types of reliability measures that aim to estimate the degree to which measurement error affects the scores obtained from a measure. Some of the most common types of reliability measures include test-retest reliability, inter-rater reliability, and internal consistency reliability.

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Answer:

The first one

Step-by-step explanation:

We want to find the roots of the equation -2x + 3 = -8x²

Step 1: Our first step is to get the equation in quadratic form so we can use the quadratic formula to find the roots

Quadratic form: ax² + bx + c = 0

We can easily get this equation in quadratic form by moving -8x² to the right side. We can do this using inverse operations. The inverse of subtraction is addition so to get rid of -8x² we add 8x² to both sides

After adding -8x² to both sides we acquire 8x² - 2x + 3 = 0

The equation is now in quadratic form meaning we can now use the quadratic formula to find the roots.

Quadratic Formula : \(\frac{-b+-\sqrt{b^2-4(a)(c)} }{2(a)}\)

where the values of a, b and c are derived from the equation

Remember that the equation is in quadratic form ax² + bx + c = 0

8x² - 2x + 3 = 0  so a = 8 , b = - 2 and c = 3

We then plug in these values into the quadratic formula ( note that the +- means plus or minus meaning that we have to evaluate this twice, once when the discriminant ( b² - 4(a)(c) is the discriminant ) is being add to -b and once when the discriminant is being subtracted from -b )

First lets evaluate when the discriminant is being added to -b

Recall the quadratic formula : \(\frac{-b+\sqrt{b^2-4(a)(c)} }{2(a)}\)

a = 8 , b = - 2 and c = 3

\(\frac{2+\sqrt{2^2-4(8)(3)} }{2(8)}\)

Work being done inside of the square root: 2² = 4 , -4 * 8 = -32 , -32 * 3 = -96

4 - 96 = - 92

Work being done at denominator : 2 * 8 = 16

\(\frac{2+\sqrt{-92} }{16}\)

The first root is \(\frac{2+\sqrt{-92} }{16}\)

We now do this same process but instead we subtract the discriminant.

We would be left with the same thing but it would be \(\frac{2-\sqrt{-92} }{16}\) instead of \(\frac{2+\sqrt{-92} }{16}\)

In some cases we would get a completely different answer, so evaluating it twice, once  when the discriminant is being add to -b and once when the discriminant is being subtracted from -b may be important in some cases.

We then simplify the two roots. You may notice that there is a negative number under the radical and you might ask how can you square root a negative? well you can't which is when imaginary roots come in. Imaginary roots: i = -1 . We can take out an i from -92 making it 92 because i = -1 and -92/-1 = 92. We would be left with i√92

So we can conclude that the roots of the equation are \(\frac{2+i\sqrt{92} }{16} and \frac{2-i\sqrt{92} }{16}\)

Looking at the answer choices we notice that there are two very similar answers. The first and second one. The only difference between the two is that 2 is positive on the first one and 2 is negative on the second one. Looking at the roots we just found, the 2 should be positive therefore the answer is the first one.

Note that ± means plus or minus and it means that the expression can either be added or subtracted and it will be a root. This means that saying the roots are \(\frac{2+-i\sqrt{92} }{16}\) is the same as saying the roots are \(\frac{2+i\sqrt{92} }{16} and \frac{2-i\sqrt{92} }{16}\)

Given:

The distance traveled in 10 seconds is 450 feet.

To find the distance traveled in 1 minute:

In 10 seconds, the distance is 450 feet.

In 20 seconds the distance will be,

In 30 seconds the distance will be,

In 40 seconds the distance will be,

In 50 seconds the distance will be,

In 60 seconds the distance will be,

Hence, the distance traveled in 1 minute is 2700 feet.

So, the table becomes,

Answer:

3: Vertical Angles (If that is an option)

4: ASA

Step-by-step explanation:

Statement 3: Vertical Angles

Vertical angles just mean that the opposite angles would be the same measure

Statement 4: ASA

This is the actual congruency statement

Answer:

whats the question sir

Step-by-step explanation:

can you show me it like type it for me

Answer:

(x-7)²+y²=9

Step-by-step explanation:

There is a formula used for the equation of a circle:

(x-h)²+(y-k)² = r²

(h, k) is the center of the circle

r is the radius

In this case, (h, k) is (7, 0)

Plug in the values for h and k

∴ (x-7)²+(y-0)²=3² which can be simplified to (x-7)²+y²=9 (No need to expand the brackets)

Answer:

10/4 = \(\frac{10}{4}\)

Step-by-step explanation:

The correct evaluation of each proposition is as follows:

a ∈ X: TRUE. This proposition is true because the element 'a' is indeed present in set X.

{a} ∈ X: TRUE. This proposition is true because the set {a} is present as an element in set X. Remember that sets can contain other sets as elements.

a ∈ Y: FALSE. This proposition is false because the element 'a' is not present in set Y. In set Y, the elements are 'a', 3, [a], [∅,a], and ∅.

{a} ∈ Y: FALSE. This proposition is false because the set {a} is not present as an element in set Y.

∅ ∈ X: FALSE. This proposition is false because the empty set (∅) is not present in set X. The elements in set X are 'a', 2, {a}, [a,a], and [a,∅].

∅ ∈ Y: TRUE. This proposition is true because the empty set (∅) is present as an element in set Y.

∅ ⊆ Y: TRUE. This proposition is true because the empty set (∅) is a subset of set Y. Every set is a subset of the empty set, including Y, as it contains the empty set as an element.

{∅} ⊆ X: TRUE. This proposition is true because the set {∅} is a subset of set X. The set {∅} is an element of X, so it is also a subset of X.

{∅} ⊆ Y: FALSE. This proposition is false because the set {∅} is not a subset of set Y. Set Y does not contain the empty set as an element.

{[a,a]} ∈ X × X: FALSE. This proposition is false because the ordered pair {[a,a]} is not present in the Cartesian product of X with itself (X × X). The Cartesian product would contain all possible pairs of elements from X, but {[a,a]} is not one of them.

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Answer:

0.4987

Step-by-step explanation:

What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.

We have that z is equal to:

z = (x - m) / (sd)

x is the value to evaluate, m the mean, sd the standard deviation

So for 80 we have:

z = (80 - 80) / (3)

z = 0

and this value represents 0.5

for 89 we have:

z = (89 - 80) / (3)

z = 3

and this value represents 0.9987

we subtract:

0.9987 - 0.5 = 0.4987

Which means that it represents 49.87%

Answer: (t-r) / 21 = -0.857    where,   t= -6 and r= 12

Step-by-step explanation:

Given data,

t-r divided by 21

where, t= -6 and r= 12

So, we can write,

                            = (t-r) / 21

Let us assume,

                  (t-r) / 21 = x

So,

           x = (t-r) / 21 { t = -6 and r = 12             (eq-1)

         x = (t-r) / 21

We can substitute,    t = -6 and r = 12   values in this equation 1

so, we can write,

                            x =   (t-r) / 21

                            x = (-6-12) / 21

                            x = -18/21

                            x = -6/7

                            x = -0.857

Therefore,

                       (t-r) / 21 = -0.857    where,   t= -6 and r= 12

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The mean of this distribution is (a+b)/2 = $500, and the standard deviation is (b-a)/sqrt(12) = $288.68. The probability of winning more than $600 on one spin of the wheel is the area under the uniform distribution curve from $600 to $1000, which is (1000-600)/(1000-0) = 0.4 or 40%.

In a uniform distribution, all possible outcomes have an equal probability of occurring, and the range of values is defined by the minimum value (a) and the maximum value (b). In this case, the range is from $0 to $1000, so a=0 and b=1000.

The mean of a uniform distribution is the average of the minimum and maximum values, which is (a+ b)/2 = $500. The standard deviation of a uniform distribution is calculated using the formula (b-a)/sqrt(12), which gives a value of $288.68 for this distribution.

To find the probability of winning more than $600, we need to calculate the area under the uniform distribution curve from $600 to $1000. Since the total area under the curve is 1, we can calculate the probability by dividing the width of the interval by the total width of the distribution, which is (1000-600)/(1000-0) = 0.4 or 40%.

Therefore, the probability of winning more than $600 on one spin of the wheel is 0.4.

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Answer:

-50

Step-by-step explanation:

The kinetic energy of the Mars Climate Orbiter spacecraft is approx    3.31 x 10^7 joules.

To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:

Mass of the spacecraft (m) = 629 kg

Velocity of the spacecraft (v) = 1.20 x 10^4 km/h

First, we need to convert the velocity from km/h to m/s:

1 km = 1000 m

1 h = 3600 s

Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s

Now, we can calculate the kinetic energy:

Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2

Kinetic energy ≈ 3.31 x 10^7 joules

Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.

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Answer: around 63.3

Step-by-step explanation: you need to find how much they traveled first (380) & then divided that by the other number (6). then you get somewhere around 63.3 . :))

Answer:

63.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

is this in college?

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

hope this helps lovely! <3

The amount $500 invested at 8% interest compounded annually be worth after 3 years is $ 629.86

Since we have $500 invested at 8% interest compounded annually, we need to find the worth after 3 years.

Using the compound interest formula, the amount

A = P(1 + r)ⁿ where

Given that

So, substituting the values of the variables into the equation, we have that

A = P(1 + r)ⁿ

A = $500(1 + 0.08)³

A = $500(1.08)³

A = $500 × 1.259712

A = $ 629.856

A ≅ $ 629.86

So, the amount is $ 629.86

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Answer:

8x + 22

Step-by-step explanation:

Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then

We have the line y = -x + 5 ⇒ a₁ = -1.

Therefore

a₂ · (-1) = -1

-a₂ = -1     Ichange the signs

(x+a)(x+3a)= x²+bx+75

x²+4a+3a²=x²+bx+75

by comparing 3a²=75 and b= 4a

a= ±5

possible values of b= ±20

Two possible values of b are 20 and -20.

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Given that;

The mathematical expression as;

(x + a)(x + 3a) = x² + bx + 75​

Now,

The mathematical expression is;

(x + a)(x + 3a) = x² + bx + 75​

Solve the expression as;

(x + a)(x + 3a) = x² + bx + 75​

x² + 3ax + ax + 3a² = x² + bx + 75

x² + 4ax + 3a² = x² + bx + 75

After comparison we get;

4a = b  ... (i)

And, 3a² = 75  .. (ii)

Solve the second equation for a as;

3a² = 75

Divide by 3;

a² = 25

Take square root both side, we get;

a = ± 5

So, By equation (i) we get;

b = 4a

Substitute a = 5;

b = 4 x 5

b = 20

And, Substitute b = -5;

b = 4 x -5

b = -20

Thus, Two possible values of b are 20 and -20.

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If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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Answer:

26h

Step-by-step explanation:

-3(2h-10h)+2h

-6h+30h+2h=26h

Answer:

134

Step-by-step explanation:

Answer:

her equation should be a² + 3² = 4²

Step-by-step explanation:

a² + 3² = 4²

a² + 9 = 16

a² = 7

a = \(\sqrt{7}\)

a ≈ 2.6 inches

The area of the finite part of the paraboloid is approximately 72.266 square units.

The equation of the paraboloid is z = . We want to find the area of the part of the paraboloid that lies below the plane z=81 and above the xy-plane where y ≥ 0.

To find the intersection between the paraboloid and the plane, we set z=81 in the equation of the paraboloid:

81 =\(x^2y^2\)

Solving for x in terms of y:

x = ±\(\sqrt^(81/y^2)\) = ±9/y

Since y ≥ 0, we can only consider the positive root, so x = 9/y.

To find the limits of integration, we need to find the values of y where the paraboloid intersects the plane z=0 (i.e., the xy-plane). Setting z=0 in the equation of the paraboloid, we get:

0 = \(x^\\2y^2\)

This equation is satisfied for x=0 or y=0. Since y ≥ 0, we can only consider y=0, which implies that x=0. Therefore, the paraboloid intersects the xy-plane at the origin.

We can now set up the integral to find the area of the finite part of the paraboloid cut off by the plane z=81:

A = ∫∫R \(\sqrt^(1 + (\alpha z/\alpha x)^2 + (\alpha z/\alpha y)^2\)) dA

where R is the region in the xy-plane bounded by the curves y=0 and y=h, where h is the value of y where the paraboloid intersects the plane z=81.

The integrand can be simplified using the partial derivatives of z:

Substituting x=9/y and z=81, we get:

Therefore, the integrand becomes:

\(\sqrt^(1 + (18y)^2 + (162/y)^2)\)

The region R is a rectangle bounded by y=0 and y=h=9. Therefore, the integral becomes:

A = ∫0⁹ ∫\(0^\\(9/y)\) \(\sqrt^(1 + (18y)^2 + (162/y)^2)\) dx dy

This integral is difficult to evaluate analytically, so we can use numerical methods to approximate it. For example, using a numerical integration method like Simpson's rule with a step size of 0.1, we get:

A ≈ 72.266

Therefore, the area of the finite part of the paraboloid cut off by the plane z=81 and where y ≥ 0 is approximately 72.266 square units.

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The complete two way frequency  table after survey is:

             13      19      32

             28      15     43

             41       34     75

Just count the missing numbers in the row or column:

32 - 19 = 13

This is the value that goes to the top left in the table because we can subtract here. There are no total votes.

We can now calculate the total number of positive votes to be 41.

In the value of the No column, we will again find the middle number by subtracting the top number from the total number of No votes.

34 - 19 = 15

Similarly,

From the middle row, we can simply add the values ​​to get the total:

28 + 15 = 43.

Finally we find a total of 75.

The complete two way frequency table after survey is:

             13      19      32

             28      15     43

             41       34     75

Complete Question:

A weatherman asks 75 people from two different cities if they own rain boots. Complete the two-way frequency table to show results of the survey.

                               Rain Boots

             City       Yes         No        Total

               A                        19            32

               B          28

            Total                      34

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