y=2x+5y, equals, 2, x, plus, 5
Complete the missing value in the solution to the equation.

Answer:

35.52

Step-by-step explanation:

⠀

Answer:

6 1/2 hours

Step-by-step explanation:

156 miles / 24 mph = 6.5

The required time the cyclist would take to ride 156 miles with a rate of 24 mph is 6.5 hours.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
To find the time it takes a cyclist to cover a certain distance at a constant rate, you can use the formula:
time = distance/speed.

Plugging in the given values, you get:

time = 156 miles / 24 mph = 6.5 hours.

So it would take the cyclist 6.5 hours to ride 156 miles at a constant rate of 24 mph.

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Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,

Answer:

Choice C

Step-by-step explanation:

it's the only one where the angle doesn't match

Answer:

3x - 9

Step-by-step explanation:

Simplify the expression.

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

42 a

Step-by-step explanation:

brailest plz

Answer: -34

Step-by-step explanation:

first step: subtract 22 from both sides

+n=-12-22

n=-34

Answer:

-34

Step-by-step explanation:

Thats the correct answer . Im rlly good im Math :) I hope you get a good grade.

The Excel function used when calculating the t critical value is the T.INV function.

The TINV function returns the inverse of the Student's t-distribution, which is a probability distribution that is commonly used in hypothesis testing when the sample size is small and the population standard deviation is unknown. The TINV function requires two arguments: the probability value (alpha) and the degrees of freedom.

The degrees of freedom depend on the sample size and the number of parameters estimated in the model. The TINV function returns the value of the t statistic that corresponds to a given probability and degrees of freedom. This t critical value is compared to the calculated t statistic to determine if the null hypothesis should be rejected or not.

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The number that the digit 1 has a value that is ten times as great as the value of the digit 1 in the number 215,784 is 2.

Place value can be defined as the value that's represented by a digit on the basis of the position of the digit.

It should be noted that the value of the digit 1 in 215784 is 10000. On the other hand, the value of 2 is 200000. It's in hundred of thousands. Therefore, it's 10 × (10000).

Therefore the digit is 2.

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Answer:

it is 103,748

Step-by-step explanation:

because it was wrong when I pressed 15,839

Answer:

Ann = 112.5 and Annie = 157.5

Step-by-step explanation:

7-5 = 2

One share = 45/2 = 22.50

Ann = 22.5 x 5 = 112.50

Annie = 22.5 x 7 = 157.50

You can check this is correct my subtracting them from each other and confirming that Annie has 45 more dollars than ann

Hope this helps!!

Answer:

1. 128=x

2.37=x

3. 55=x

4. 15=x

5. 76=x

Step-by-step explanation:

The inverse function is f⁻¹(x) = √(x + 5) - 2. And the value of 'x' when the inverse function is 2 will be 11.

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by swapping x with y and y with x.

The function is given below.

f(x) = (x + 2)² - 5,       x > 2

The inverse function of the function will be given as,

x = [f⁻¹(x) + 2]² - 5

[f⁻¹(x) + 2]² = x + 5

f⁻¹(x) + 2 = √(x + 5)

f⁻¹(x) = √(x + 5) - 2

If the value of the inverse function is 2, then the value of x is given as,

2 = √(x + 5) - 2

4 = √(x + 5)

16 = x + 5

x = 16 - 5

x = 11

The inverse function is f⁻¹(x) = √(x + 5) - 2. And the value of 'x' when the inverse function is 2 will be 11.

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The volume of the cereal box is 144 square inches its width is two inches, its length is six inches and its height is 12 inches.

The top, bottom, and lateral faces of a rectangular prism are all rectangles, and all the pairs of opposing faces are congruent. A rectangular prism is a three-dimensional structure with six faces.

The rectangular prism's base area is equal to lw (using the area of a rectangle formula)

The height of the rectangle prism is equal to h.

Thus, V = lw ×h = lwh is the formula for the rectangular prism's volume.

Given,

width = 2 inches

length = 6 inches

height = 12 inches

The volume of a rectangular prism is simply length× width× height.

Volume = 6× 2× 12

= 144 square inches.

Therefore, the volume of the cereal box is 144 square inches.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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hello there!

it would be C

because

6/3=2 and 2*5=10 and 7*2=14

hope this helps

have a fantastic day/night

The estimate for the probability of drawing a red ball is m/n.

Sure! Based on the given information, we have a black box with red balls and white balls. We draw a ball from the box, write down the color, and put it back. We repeat this process for n times, and we end up with m red balls.
To estimate the probability of drawing a red ball from the box, we can use the ratio of the number of red balls obtained (m) to the total number of draws (n).
Therefore, the estimate for the probability of drawing a red ball is m/n.

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The total amount of Zach's paycheck was $174.

The fraction of the paycheck spent by Zach on the new video game is 2/6. The cost of the video game is $58. We need to find the total amount that Zach had in the paycheck.

A fraction is a portion of a whole or, more broadly, any number of equal pieces. An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equal sign.

Let the total amount of the paycheck be "x". Using the information above, we can form an equation as given below :

(2/6)*x = 58

x = (6/2)*58

x = 174

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Answer:

2. \(\left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]\)

3. \(\left[\begin{array}{ccc}-3&21&60\\-15&9&-45\\\end{array}\right]\)

4. \(\left[\begin{array}{ccc}6&-14\\-2&-6\\\end{array}\right]\)

Step-by-step explanation:

2. This matrix is easy, as it just requires addition.

\(\left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]\)    +     \(\left[\begin{array}{ccc}0&0\\0&0\\\end{array}\right]\)   =  \(\left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]\)

3. This matrix requires for the matrices to be multiplied first, then added.

\(\left[\begin{array}{ccc}9&-15&18\\-27&15&-9\\\end{array}\right]\)    +     \(\left[\begin{array}{ccc}-12&36&42 \\12& -6 & -36 \\\end{array}\right]\)     =   \(\left[\begin{array}{ccc}-3&21&60\\-15&9&-45\\\end{array}\right]\)

4.  Here we can add the last 2 matrices to find x.

\(\left[\begin{array}{ccc}2&-8\\-4&2\\\end{array}\right]\)   +   \(\left[\begin{array}{ccc}4&-6\\2&-8 \\\end{array}\right]\)  = \(\left[\begin{array}{ccc}6&-14\\-2&-6\\\end{array}\right]\)

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Answer:

Step-by-step explanation:

34+23F=175

23F=175-34=141

F=141/23≈6.13

so he buys more 7 bags

Using proportions, it is found that Sergei needs to buy 7 bags.

-----------

1 bag - 23 kilograms

x bags - 141 kilograms

Applying cross multiplication:

\(23x = 141\)

\(x = \frac{141}{23}\)

\(x = 6.1\)

Rounding up, he needs to buy 7 bags.

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Answer:

a. Domain: {-5} Range: [-5, 5]

b. Domain: (-∞, ∞) Range: (-∞, ∞)

c. Domain: [-1, 2] Range: [-5, 5]

d. Domain: [-4, 4] Range: [-4, 4]

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that can be outputted by function f(x).

Answer:

Coordinate geometry is one of the most important and exciting ideas of mathematics. In particular it is central to the mathematics students meet at school. It provides a connection between algebra and geometry through graphs of lines and curves. This enables geometric problems to be solved algebraically and provides geometric insights into algebra.

The invention of calculus was an extremely important development in mathematics that enabled mathematicians and physicists to model the real world in ways that was previously impossible. It brought together nearly all of algebra and geometry using the coordinate plane. The invention of calculus depended on the development of coordinate geometry.

Step-by-step explanation:

Answer:

(x²-16x)

Step-by-step explanation:

thats all just multiply then

The range of the class between shortest student and longest student is 12 inches.

Range is the difference between highest and lowest possible values.

R= (higest value)-(lowest value)

Tallest student= 63 inches

Shortest student= 51 inches

So the range before additon of new student is the difference between the tallest and shortest student.

R= 63(tallest student) - 51(shortest student) = 12inches

Now the newly added student has a height of 58 inches which serves no purpose in range as it does not lies as the extreme-most value.

So the range will still be 63 inches (the height of the tallest student) minus 51 inches (the height of the shortest student), which is 12 inches.

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To find the length of the model, we need to use the given scale, which states that 1 inch on the model represents 1.5 feet in reality.

The length of the actual object is given as 18 feet. Let's calculate the length of the model:

Length of model = Length of actual object / Scale factor

Length of model = 18 feet / 1.5 feet/inch

Length of model = 12 inches

Therefore, the length of the model is 12 inches. Therefore, the correct option is (a) 12 inches.

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Answer:

180 - 110 = 70

<DBC = 70

Answer:

Step-by-step explanation:

let h be the number of hours.

7.60 h≥ 500

76h≥5000

The probability a certain tire of this brand will last between 56,850 miles and 57,300 miles is 0.018

The mean of normal distribution = 61,000

Standard deviation = 2100 miles

First value =  60,010 miles

Second value = 58,580 miles

Using the formula to calculate the Z- score

\(zscore = x - u/\alpha\)

Figuring out the probability -

P(brand will last between 60,010 miles and 58.580 miles)

Therefore,

P( 56850 < x < 57300 )

= P ( 60,010 - 61000/2100 < z < 58.580 - 61000/2100)

= -2.1 < z < -1.8

= ( P < - 1.8)  ( P < - 2.1 )

= 0.0359 - 0.0179

= 0.0.18

= 1.8%

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The probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The information provided is:

n = 596

p = 0.09

The mean and standard deviation are:

Compute the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% as follows                      

Hence, the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

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To find the eigenvalues of matrix a, we can start by finding the characteristic polynomial det(a - λI), where I is the identity matrix and λ is an unknown constant.

Using the cofactor expansion method along the first row, we get:

det(a - λI) = (0.3 - λ)(-1)^(1+1) det(0.1 0.4 0 0.4) + (-1)^(1+2) (0 - λ) det(0 0.4 0.1 0.4) + (0.2)(-1)^(1+3) det(0 0.1 0.4 0.1; 0.4 0 0.4 0; 0 0.4 0.1 0.4; 0.4 0 0 0.1)

Simplifying this expression, we get:

det(a - λI) = (0.3 - λ)[(0.1)(0.4)(0.4) + (0.4)(0.4)(0.1) + (0.4)(0.1)(0.4)] - (0.2)(0.4)(0.1)(0.4) - (0.4)(0.4)(0.1)(0.1)

det(a - λI) = -λ^3 + 1.2λ^2 - 0.4λ

Next, we can solve for the roots of this polynomial by setting it equal to zero:

-λ^3 + 1.2λ^2 - 0.4λ = 0

Factorizing out a λ term, we get:

λ(-λ^2 + 1.2λ - 0.4) = 0

Using the quadratic formula to solve for the roots of -λ^2 + 1.2λ - 0.4, we get:

λ = 0.2, 0.4, 0.6

Therefore, the eigenvalues of matrix a are λ = 0.2, 0.4, and 0.6.

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