2 and 1/8 + 3 and 2/4 =
Group of answer choices

ANSWER :

4

none of these

EXPLANATION :

From the problem, we have :

The degree of the polynomial is the highest exponent.

In this case, the highest exponent is 4.

So the degree is 4

The polynomial has 4 terms, so it cannot be a monomial, binomial or trinomial.

So none of these

Answer:

x = 2

Step-by-step explanation:

Exponential Equations

Solve:

\(5^{2x-1}+5^{x+1}=250\)

Separate each exponential:

\(5^{2x}5^{-1}+5^{x}5^{1}=250\)

Operating:

\(\displaystyle \frac{5^{2x}}{5}+5^{x}5=250\)

Multiplying by 5:

\(5^{2x}+25\cdot5^x=1250\)

Rearranging:

\(5^{2x}+25\cdot5^x-1250=0\)

Recall that:

\(5^{2x}=(5^{x})^2\)

\((5^{x})^2+25\cdot5^x-1250=0\)

Calling

\(y=5^{x}:\)

\(y^2+25y-1250=0\)

Factoring:

\((y-25)(y+50)=0\)

There are two possible solutions:

y=25

y=-50

Since

\(y=5^{x}\)

y cannot be negative, thus:

\(5^{x}=25=5^2\)

The solution is:

x = 2

Answer:

I think C 45 blocks are the right answer.

Answer: B 45

Step-by-step explanation: bc 9 x 5 +45

Answer: 2/5

Step-by-step explanation:

Answer: b

Because I learned this beforeStep-by-step explanation:

Answer:

P(0) = 4C0 * 0.75⁰ * 0.25⁴ = 0.00390625 . = 0.004

P(1) = 4C1 * 0.75¹ * 0.25³ = 0.046875 . . . = 0.047

P(2) = 4C2 * 0.75² * 0.25² = 0.2109375 . . = 0.211

P(3) = 4C3 * 0.75³ * 0.25¹ = 0.421875 . . . = 0.422

P(4) = 4C4 * 0.75⁴ * 0.25⁰ = 0.31640625 . = 0.316

Check:

P(0) + P(1) + P(2) + P(3) + P(4) = 1 . . . ok

Step-by-step explanation:

The quadratic equation is y = -25.42x² + 106.66x + 2.06 which fits the given points.

What is Quadratic regression?

Quadratic regression is a method of finding the equation of a parabola that best fits a set of data points. The equation for a parabola is y = ax² + bx + c, where a, b, and c are constants.

A quadratic equation that fits the given points can be found using quadratic regression.

To find the equation that fits the given points (0, 6.1), (1, 71.2), (2, 125.9), and (3, 89.4), we can use the method of least squares.

The method of least squares is a method of finding the equation that minimizes the sum of the squares of the differences between the actual y-values and the predicted y-values.

Using this method, we can find that the equation of the parabola that best fits the given points is y = -25.42x² + 106.66x + 2.06

This equation is in the form of y = ax² + bx + c, where a = -25.42, b = 106.66, and c = 2.06.

This equation can be used to predict the y-value for any x-value within the domain of the given points.

Hence, the quadratic equation is y = -25.42x² + 106.66x + 2.06 which fits the given points.

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Answer:

All positive real numbers i think

Answer:

B

Step-by-step explanation:

4^x can never be 0 or negative, the graph has a horizontal asymptote at y = 0

So the range only includes positive values

Answer:

6 ,16

Step-by-step explanation:

he doubled it

Based on the Law of Cosines; it was proven that:

Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.

Based on the unshaded triangle, we can find that:

cos Θ = x/a

Next, we will prove that: cos (180 - C) = x/a

Remember that:

cos (A + B) = cos A cos B - sin A sin B

Law of Cosines: c² = a² + b² - 2ab. cos C

cos C = - [c² - (a² + b²)] /2ab ... (i)

Then:

cos Θ = cos (180 - C)

cos (180 - C) = cos 180 . cos C - sin 180 . sin  C

We subtitute equation (i):

cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C

cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)

If we focus on the unshaded triangle, we can find an equation of a, where:

a² = h² + x² ... (iii)

And if we combine both triangle into a giant triangle, we can make another equation of c. where:

c² = (x + b)² + h² ... (iv)

We will subtitute equation (iv) into equation (ii):

cos (180 - C) =  [c² - (a² + b²)]/ 2ab

cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab

cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)

We subtitute equation (iii) into equation (v):

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab

cos (180 - C) = [a² + 2bx - a²] / 2ab

cos (180 - C) = 2bx / 2ab

cos (180 - C) = x/a --> PROVEN!

Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.

We know that:

a² + b² - 2ab cos C = c²

c² = (x + b)² + h²

We will try to find the value of cos C:

a² + b² - 2ab cos C = (x + b)² + h²

a² + b² - 2ab cos C = x² + b² + 2bx + h²

a² - 2ab cos C = a² + 2bx

- 2 ab cos C = 2bx

cos C = - x/a

We will subtitute the value of cos C under the Law of Cosines:

c² = a² + b² - 2ab cos C

c² = a² + b² - 2ab (- x/a)

c² = a² + b² + 2bx --> PROVEN!

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Here, m∠GHI=72° and m∠LMN=108°. Therefore, option B is the correct answer.

Given that, m∠GHI=6x° and m∠LMN=9x°.

We need to find the measure of each angle.

Supplementary angles are thus a set of angles that complete each other to form 180°. Supplementary angles are those angles that sum up to 180°.

Now, 6x°+9x°=180°

⇒15x°=180°

⇒x°=12°

Thus, m∠GHI=6×12°=72° and m∠LMN=9×12°=108°.

Therefore, option B is the correct answer.

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Answer:

It takes Jane 2 2/3 minutes

It takes Joan 5 1/3 minutes

Step-by-step explanation:

let j = time it takes Jane

let 2j = time it take Joan

j + 2j = 8

3j = 8

j = 8/3 or 2/23

2j = 16/3 or 5 1/3

Answer: 13/12

Step-by-step explanation:

Answer:

1.8% or 1.818181%

Step-by-step explanation:

If in a batch of 440 water purifiers, we find 8 to be defective.

Then the probability of the next purifier being defective is 8/440

In percentage = 8/440 * 100

=> 8/44 * 10

=> 8/22 * 5

=> 40/22

=> 20 / 11

20/11 is roughly 1.8181818

Rounding it to the nearest tenth, we get 1.8%

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

The distance to the nearest tenth of a mile is given as

d=14m to the nearest  tenth

This is further explained below.

Generally, How far away two things or points are may be measured, either quantitatively or quantitatively, using something called distance.

When discussing physics or using the term in ordinary conversation, "distance" may either refer to an actual length or an assumption based on other factors.

The two parts of the journey that the guy drove are shown in the picture that is attached below. The distance represents the length of a road that leads straight from the man's house to his place of employment.

It is important to notice that also serves as the hypotenuse of the newly created right triangle. As a result, the Pythagorean theorem may be used by us to determine this distance:

\($$d=\sqrt{(11 m i)^2+(9 m i)^2}$$\)

d=14.21m

d=14m to the nearest  tenth

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The number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.

The probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The probability of rolling a number less than 3 on a number cube is 2/6.

\(P( > 3)=\dfrac{2}{6}\)

Here, the Jennifer rolls a number cube 60 times. Thus, the number of times she rolled the number less than 3 in this cube is,

\(n=\dfrac{2}{3}\times60\\n=40\)

Thus, the number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.

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Answer:

Mr. D would have $9.26

Step-by-step explanation:

The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

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The linear equation that passes through (-1, 8) and (5,-2) is:

y = (5/3)*x + 29/3

A general linear equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

If we know that this line passes trhough the points (-1, 8) and (5, -2) then we can write the slope as:

a = (-2 - 8)/(5 + 1) = -10/6 = 5/3

Then we can write:

y = (5/3)*x + b

Now to find the value of b we can replace the values of one of the points in the line, if we use (-1, 8) we will get:

8 = (5/3)*-1 + b

8 + 5/3 = b

24/3+  5/3 = b

29/3 = b

We conclude that the linear equation is:

y = (5/3)*x + 29/3

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Therefore, the difference between the record high and low temperatures in Kentucky is 151°F.

An equation is a mathematical statement that shows the equality between two expressions, usually with an equals sign (=). It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of an equation is to find the value of the variable that makes the equation true. For example, the equation 2x + 3 = 7 can be solved for x by subtracting 3 from both sides, resulting in 2x = 4, and then dividing both sides by 2 to get x = 2.

Here,

To find the difference between the record high and record low temperatures in Kentucky, we need to subtract the low temperature from the high temperature:

114°F - (-37°F) = 114°F + 37°F = 151°F

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For any value of k and h = -18, the system will have infinitely many solutions.

Hence, option (b) is the correct choice.

A coefficient matrix in linear algebra is a matrix made up of the coefficients of the variables in a group of linear equations. In order to solve systems of linear equations, the matrix is employed.

The system will have infinitely many solutions when the determinant of the coefficient matrix is equal to 0.

The determinant can be calculated from the upper triangular matrix as the product of the diagonal elements, which is 0 * (-20) * (h + 18) = 0.

Therefore, the system will have infinitely many solutions when h + 18 = 0,

or h = -18.

This means the answer is (b) any value of k and h = -18.

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Answer:

If we are solving for x, then the answer is x = 4

Step-by-step explanation:

move 5 to other side

2.5x + 5 ≥ 15 - 5

2.5x = 10

Get rid of 2.5

2.5x = 10/2.5

x = 4

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Step-by-step explanation:

The equality means that 2.5x+5 is bigger than or equal to 15.

If you want to find x,

2.5x + 5 ≥ 15

2.5x ≥ 10

x ≥ 4

Therefore x is bigger than or equal to 4.

(Remember x may not equal to 4 since it's an equality. So write x ≥ 4, not x =4.)

Answer:

Answer: 45%

54 is 45 percent of 120

Step-by-step explanation:

STEP 1 =

54

120

By multiplying both numerator and denominator by 100 we will get:

STEP 2 =

54

120

×

100

100

=

45

100

STEP 3 =

45

Finally, we have found the value of Y which is 45 and that is our answer.

You can use a calculator to find what percent of 120 is 54, just enter 54 ÷ 120 × 100 and you will get your answer which is 45

Answer:

c2 = a2 + b2 ('c' = hypotenuse of the right triangle whereas 'a' and 'b' are the other two legs.).

Step-by-step explanation:

Image result for Pythagorean Theorem in Cones. Find h. 13 cm 8cm First we must set up our equation using the Pythagorean Theorem. a2 + b2 = c2 42 + b2 = 132 16 + b2 = 169 b2 = 153 b= [?] Hint: Enter the number that belongs under the radical.

Pythagoras theorem equation helps you to solve right-angled triangle problems, using the Pythagoras equation:

The value of b for the given data is b =13 cm.

The Pythagorean theorem is a fundamental concept in mathematics that relates to the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

c²= a² + b² ('c' = hypotenuse of the right triangle whereas 'a' and 'b' are the other two legs.).

Image result for Pythagorean Theorem in Cones. Find h. 13 cm 8cm First we must set up our equation using the Pythagorean Theorem.

a² + b² = c²

4² + b² = 13²

16 + b² = 169

b² = 153

b = [12.36] or 12 cm

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Answer:

-1

Step-by-step explanation:

I2 - 5I - (12 / 4 - 1)²

=  I2 - 5I - (3 - 1)²

=  I2 - 5I - (2)²

=  I2 - 5I - (4)

=   I-3I - 4

= 3 - 4

= -1

So, the answer is -1

Answer:

a= hb/2-h

Step-by-step exp...If Future probelms like this arise but  for this I just looked at old notes my teacher gave.

To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.

The temperature ranges and their corresponding frequencies are as follows:

30-39: 2 days

40-49: 26 days

50-59: 28 days

60-69: 8 days

70-79: 2 days

To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.

Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.

Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.

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The appropriate test statistic is approximately 1.89.

To determine if there is evidence that 20 to 29-year-old drivers have a higher mean accident claim compared to 30 to 49-year-old drivers, we can perform a two-sample t-test.

The test statistic can be calculated using the following formula:

\(t = (mean1 - mean2) / \sqrt{(s1^2 / n1) + (s2^2 / n2)}\)

where:

mean1 and mean2 are the sample means of the two populations,

s1 and s2 are the sample standard deviations of the two populations,

n1 and n2 are the sample sizes of the two populations,

Given the following information:

For population 1 (20 to 29-year-old drivers):

Sample mean (mean1) = $4586

Sample standard deviation (s1) = $2302

Sample size (n1) = 40

For population 2 (30 to 49-year-old drivers):

Sample mean (mean2) = $3669

Sample standard deviation (s2) = $2029

Sample size (n2) = 40

Calculate the test statistic (t):

\(t = (4586 - 3669) /\sqrt{ (2302^2 / 40) + (2029^2 / 40))\)

Calculating this expression:

t ≈ 917 / √(132360.1 + 102996.025)

t ≈ 917 / √(235356.125)

t ≈ 917 / 485.086

t ≈ 1.89

Therefore, the appropriate test statistic is approximately 1.89.

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