a board measures 212 inches. how many feet is this? [ ? ] ft. give your rounded answer with one decimal place.

Answer:  Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘

Step-by-step explanation:

Answer:

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

To find the sum of the interior angles of a 16-sided polygon, you can use the formula:

In our case, n = 16.

Substitute the value of n into the formula:

The matching choice is D.

Answer:

regular 4 is correct

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.

Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.

Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.

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The sale price of the backpack is $25.5, the sale price of the soccer ball is $13.005, and the sale price of one jacket is 17.918.

Given:

The sale price of every item in a store is 85 percent of its regular price.

1. The regular price of a backpack is $30.

Then, the sale price = 85% of (the regular price of a backpack )

= 0.85  x ($30)

= $25.5

Hence, the sales price of the backpack = $25.5

2. The regular price of a soccer ball is = $15.30

The sale price of the soccer ball is 85% of its regular price.

Therefore, the sale price = 85% of $15.30

= $13.005

So, the sale price of the soccer ball is $13.005.

3. The regular price of a jacket is $21. 08

The sale price of a jacket is 85% of its regular price.

Therefore, the sale price = 85% of $21. 08

= $17.918

So, the sale price of a jacket is $17.918.

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Answer:

119 cm^2

Step-by-step explanation:

To find the area of the white border, simply find the area of the outside rectangle and subtract the middle(dark) rectangle's area from that value.

White rectangle: 15x9 = 135

Dark rectangle: 8x2 = 16

135 - 16 = 119 cm^2
The unit is squared when finding the area of a two dimensional figure.

Answer:

3.7

Step-by-step explanation:

Hypotenuse is 5

Adjacent is unknown x

Cos 42 = adjacent / hypotenuse

Co's 42 = x/ 5

0.74 = x/5

Multiply both sides by 5

3.7 = x

By using the law of exponent the value of (24)⁻¹ is equal to  1/24.

To simplify (24)⁻¹, we can apply the rule for negative exponents.

The rule states that any non-zero number raised to the power of -n is equal to the reciprocal of that number raised to the power of n.

Applying this rule to (24)⁻¹, we have,

(24)⁻¹

= 1 / (24)¹

= 1 / 24

Therefore, applying the law of exponent (24)⁻¹ simplifies to 1/24.

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The above question is incomplete, the complete question is:

Using laws of exponents with integer exponents ,simplify (24)⁻¹.

one over two raised to the power of negative four one over two raised to the fourth power .

Answer:

ss

Step-by-step explanation:

sas

The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be r

Let the center of the circle be A ( 5 , 2 )

Let the point on the circle be P ( -3 , 4 )

Now , standard form of a circle is

( x - h )² + ( y - k )² = r²

So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²

On simplifying the equation , we get

r² = ( 8 )² + ( 2 )²

r² = 64 + 4

r² = 68

Taking square roots on both sides , we get

r = √68

r = 2√17

Hence , the radius of the circle is 2√17 units

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The total cost for your fun day out is $23.82.

In mathematics →

Given is that you decided to go snowboarding for the day and you have to figure out your budget. Tickets are $75.00 per day and there is a 5% convenience charge when you order your ticket. You also have to pay for a bus ticket that is $12 for the day. You mom gives you a 15% off coupon that applies to the lift ticket only.

Assume that the total cost for your fun day out is ${x}. Then, we can write the equation as -

{x} = 15% of (75 + {5% of 75}) + 12

{x} = 15% of (75 + {5/100 x 75}) + 12

{x} = 15% of (75 + {1/20 x 75}) + 12

{x} = (15/100) x (75 + 75/20) + 12

{x} = (3/20 x 78.75) + 12

{x} = 11.82 + 12

{x} = 23.82

Therefore, the total cost for your fun day out is $23.82.

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Answer:

f(- 1) = - 5

Step-by-step explanation:

substitute x = - 1 into f(x)

f(x) = x² + 2x - 4 , then

f(- 1) = (- 1)² + 2(- 1) - 4 = 1 - 2 - 4 = - 5

Answer:

5 feet 4.4 inches tall

Step-by-step explanation:

Answer:

G (-2,8)

Step-by-step explanation:

(-8+x)/2 = -5

-8 + x = -10

x = -10 + 8

x = -2

(0+y)/2 = 4

y = 4 · 2

y = 8

Matrix B is obtained from matrix A by three row-swaps, and matrix C is obtained from A by dividing a row of A by 3. Suppose det A=5.then  det B= -5, det C= 5/3 is a true statement

What is a matrix simple definition?

matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix. Matrices have wide applications in engineering, physics, economics, and statistics as well as in various branches of mathematics.

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The correct inequality that describes the problem is 4x ≥ 40. Thus, the correct answer is A.

The answer is A because Ms. Wells is ordering 4 large cheese pizzas, and she expects to spend at least $40 on the pizzas. The inequality 4x ≥ 40 represents the total cost of the pizzas, which is 4 times the cost of each pizza (4x) and should be greater than or equal to $40. This inequality tells us that the total cost of the pizzas is at least $40, which is what Ms. Wells expects.

Option B, 4x > 40x, is incorrect because it doesn't make sense mathematically. The right side of the inequality is 40x, which is not related to the problem, and it also doesn't make sense that each pizza will cost 40 dollars.

Option C, 4x ≤ 40, is incorrect because it represents the total cost of the pizzas as less than or equal to $40, which doesn't match with Ms. Wells' expectation that she expects to spend at least $40 on the pizzas.

This question should be provided with answer choices, which are:

The correct answer is A.

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Answer:

\(N + Q = 32\) and \(.05N + .25Q = 3.00\)

Step-by-step explanation:

Given that there is a collection of nickels and quarters.

Let N be the number of coins of nickels and

Q be the number of coins of quarters.

It is given that total number of coins are 32.

Number of coins of nickels + Number of coins of quarters = 32

\(\therefore \bold{N+Q=32}\) is the first equation.

Now, we know that value of a one quarter coin is 25 cents or \(\$\frac{25}{100} = \$0.25\)

and value of a one nickel coin = 5 cents = $0.05

Total value of all nickel coins = Number of nickel coins \(\times\) value of one nickel coin = \(.05N\)

Similarly,

Total value of all quarter coins = Number of quarter coins \(\times\) value of one quarter coin = \(.25Q\)

Total value of coins is 3 dollars.

\(\therefore \bold{.05N + .25Q = 3.00}\) is the second equation.

So, the answer is:

\(N + Q = 32\) and \(.05N + .25Q = 3.00\)

Answer:

The slope is 2/3 and the y intercept is 7

Step-by-step explanation:

y=2/3 x + 7

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 2/3 and the y intercept is 7

Answer:

\({ \bf{slope : \frac{2}{3} }} \\ \\ { \bf{y - intercept : 7}}\)

Step-by-step explanation:

General equation of line:

\({ \bf{y = mx + c}}\)

Slope is m and y-intercept is c:

\({ \tt{y = \frac{2}{3}x + 7 }}\)

by relation:

slope: ⅔

y-intercept: 7

Answer:

Step-by-step explanation:

4x^2 + 20x + 25 + 4x^2 - 20x + 25

8x^2 + 50

(b) To prove the equivalence of x ∧ (¬y ↔ z) and ((x → y) ∨ ¬z) → (x ∧ ¬(y → z) and (x ∨ y ∨ ¬z) ∧ (¬x ∨ y ∨ z) ⇐⇒ ¬y → (x ↔ z), we can use the following equivalence laws:

Implication Elimination (→E), Implication Introduction (→I) ,De Morgan's Laws (DeM) ,Double Negation (DN) ,Commutation (Comm), Association (Assoc) ,Distributive Laws (Dist)

By applying these laws step by step, we can simplify both sides of the equation and show that they are equivalent.

To prove the equivalence of two logical expressions, we manipulate each side using logical equivalence laws until they are in the same form. In this case, we start with the left-hand side (LHS) and the right-hand side (RHS) of the equation and apply the laws to simplify them.

By using laws such as De Morgan's Laws to expand and distribute the negation, Commutation and Association to rearrange terms, and Implication Introduction and Elimination to handle implications, we can transform both sides of the equation into equivalent forms.

The step-by-step process involves applying the laws to manipulate the expressions, simplifying them, and making them match. The end goal is to show that the LHS and RHS of the equation are equivalent, meaning they have the same truth value for all possible truth assignments to the variables involved.

By carefully applying the equivalence laws, the proof demonstrates that the original statement is valid and that the LHS and RHS of the equation are equivalent logical expressions.

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Answer:

J

Step-by-step explanation:

the magnitude of a vector (a, b ) is

\(\sqrt{a^2+b^2}\)

then magnitude of vector v = (4, 3 ) is

| v | = \(\sqrt{4^2+3^2}\) = \(\sqrt{16+9}\) = \(\sqrt{25}\) = 5

Answer:

(D) 14

Step-by-step explanation:

5x (14-x) = 0

5(14)*(14-14)=0

70*0=0

Answer:

Sharon has 18 cards and Brendan has 13

Step-by-step explanation:

you do 31-5=26

26/2=13 these are both of their cards

u then need to add the 5 to 13 to make it 18 to sharon and 13 to brendan

can i have brainliest

The actual distance between the two cities is 288 miles.

A scale drawing is a smaller version of a larger image / city. The scale drawing is reduced by a constant ratio.  This means that the scale drawing of the two cities would be smaller than the actual cities.

The scale is used to keep the proportion of the dimensions between the scale drawing and the original diagram similar. This means that the scale drawing of the two cities would be smaller than the actual cities.

The actual distance between the two cities = (3 x 24) ÷ 1/4

= 3 x 24 x 4 = 288 miles

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The values of the missing angles and sides after dilation are:

m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'

m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC  (dilation)

m∠C'B'D = 180° - 34° - 51° = 95°

Thus, by way of scale factor we can say that:

BC/B'C' = BD/B'D' = 36/18 = 2

B'D' = ¹/₂BD = ¹/₂ * 22 = 11

ΔC'P'Q ∼ ΔCPQ

Thus:

C'Q'/CQ = C'D'/CD = D'Q'/DQ

CQ = 2C'Q' = 2 * 3 = 6

Therefore, m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

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Answer:

X=8

Step-by-step explanation:

angles equal 180

55+90=145

180-45=35

4x+3=35

subtract 3 from both sides

4x=32

divide by 4

x=8

Answer:

i do no

Step-by-step explanation:

========================================================

Explanation:

Each given equation is in the form y = mx+b, with m as the slope

The slope of each equation is m = -3/2

Since the lines have the same slope, but different y intercepts, we have two parallel lines.

Parallel lines never intersect, so we don't have any solutions.

A solution to a system is an (x,y) point that is on both lines at the same time, making both equations true simultaneously.

A system with no solutions is considered inconsistent.

The probability that the employee is a male, given that the employee is less than 30 years old is given by: Option A: 0.3 (approx)

For two events A and B, by chain rule, we have:

\(P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)\)

where P(A|B) is probability of occurrence of A given that B already occurred, ( and vice versa for P(B|A) )

For the given case, naming the events as:

A = Randomly selected employee being a male

B = Randomly selected employee being less than 30 years old

Then, by the specified data, we've got:

By using the chain rule, we get:

\(P(B)P(A|B) = P(A)P(B|A)\)

Thus, the value of P(A|B) is:

\(P(B)P(A|B) = P(A)P(B|A)\\\\P(A|B) = \dfrac{P(A)P(B|A)}{P(B)} = \dfrac{0.6 \times 0.4}{0.7} \approx 0.34\)

Thus, the probability that the employee is a male, given that the employee is less than 30 years old is given by: Option A: 0.3 (approx)

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The GPA of a student who studies for 15 hours a week is 2.935.

What is a GPA?

Grade point average, or GPA, is a conventional method of evaluating academic performance in the United States on a scale of 0 to 4.

How to calculate GPA?

To calculate your GPA, divide the total number of grade points earned by the total number of letter-graded units undertaken.

Here,

We have an equation y = 0.164x + 0.475

put x= 15

we get,

y = 0.164* 15 + 0.475

y = 2.935

Hence, The GPA of a student who studies for 15 hours a week is 2.935

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