Question 1 of 10
What is the solution to this equation?
X- 13 = -4
A. x=-9
B. x= 17
C. x = 9
D. x=-17

Answer:

Proof:

Using the given information, we know that PQ is approximately equal to QS and QS is exactly equal to ST.

Since a value that is approximately equal to another value can be treated as equal in many cases, we can say that PQ is roughly equal to ST.

To prove that PQ is exactly equal to ST, we must use the transitive property of equality.

Transitive Property of Equality: If a = b and b = c, then a = c.

Using the transitive property, we can say:

PQ ≈ QS and QS = ST → PQ ≈ ST

Since PQ is approximately equal to ST and they have the same units of measurement, we can round the values to the same number of decimal places and say:

PQ ≈ ST ≈ rounded value

Therefore, PQ is exactly equal to ST because they have the same rounded value.

Answer:

22,33333333

Step-by-step explanation:

\( \sqrt[3]{2400} \\ \frac{13.38}{0.6 \\} \\ = 1992.03\)

Answer:

ill try :)

Step-by-step explanation:

a. The angle generated by P in 5s is 5π/12

b. Distance S is 125π/12

Angular displacement of a body is the angle through which a point revolves around a centre or a specified axis in a specified sense.

Average angular velocity ω is angular displacement divided by the time interval over which that angular displacement occurred.

When angular speed is π/12 rad/s

a. The angle generated is

θ = wt

where w is the angular velocity and t is the time

θ = π/12 × 5

θ = 5π/12

b. The distance 'S' moved by P

= S = wtr

where r is the radius of the circle

S = π/12 × 5× 25

S = 125π/12

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Question

Suppose a point P is on a circle whose centre is O with radius 25 meters . A ray OP is rotating with the angular speed of π/12.

a) Find the angle generated by P in 5 second

b) Find the distance traveled by P along the circle in 5s.

To find the zeros of the function f(x) = x^3 + 2x^2 - 29x - 30 algebraically, we can use the fact that f(-6) = 0. This means that when x = -6, the function evaluates to zero.

By substituting -6 into the function, we can determine the polynomial expression and factor it to find the remaining zeros.

First, substitute -6 into the function:

f(-6) = (-6)^3 + 2(-6)^2 - 29(-6) - 30

= -216 + 72 + 174 - 30

= 0

Since f(-6) = 0, we know that (x + 6) is a factor of the polynomial. By dividing the polynomial by (x + 6), we can find the remaining quadratic factor. The resulting quadratic factor can be solved using factoring, quadratic formula, or other methods to find the remaining zeros of the function.

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The correct answer is (c) The vectors are linearly independent for all real numbers a, excluding a = ±√96.

To determine if the vectors v1 = (a, 1), v2 = (-4, a), and v3 = (4, 6) are linearly independent, we can check the determinant of the matrix formed by these vectors. If the determinant is not equal to zero, the vectors are linearly independent. Otherwise, they are linearly dependent.

The matrix is:
| a, -4, 4 |
| 1,  a, 6 |

The determinant is: a * a * 1 + (-4) * 6 * 4 = a^2 - 96.

Now, we want to find the real number(s) a for which the determinant is not equal to zero:

a^2 - 96 ≠ 0
a^2 ≠ 96

So, the vectors are linearly independent if a^2 is not equal to 96. This occurs for all real numbers a, except for a = ±√96. Therefore, the correct answer is (c) The vectors are linearly independent for all real numbers a, excluding a = ±√96.

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which letter from table represent like terms    asnwer   A

The binomial letters from the table represent like terms are 'B' and 'C'.

A mathematical expression made up of two terms joined together with a plus or minus sign.

It is necessary to multiply each phrase of the first binomial by each term of the second binomial when multiplying two binomials. Then, like terms are put together.

A = (-2x)×(4x) = -8x²

B = (4x)×3 = 12x

C = 1×(-2x) = -2x

D = 1×3 = 3

As, it is shown from the given expressions that the values for B and C are alike.

Thus, B and C are the letters from the table represent like terms.

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The correct form of the particular solution for fn = -6fn-1 + 7fn-2 + 6n is d. n(an+b). To determine the particular solution, we need to first find the characteristic equation, which is r^2 + 6r - 7 = 0. The roots of this equation are r = -7 and r = 1. Therefore, the homogeneous solution is of the form fn = A(-7)^n + B(1)^n.

To find the particular solution, we look at the non-homogeneous term, which is 6n. Since this is a linear function, we can assume that the particular solution is of the form Pn = an + b. We substitute this into the original equation and solve for a and b.

f n = -6fn-1 + 7fn-2 + 6n
(a n +b) = -6(an-1+b) + 7(an-2+b) + 6n
an + b = -6an-1 + 7an-2 + 6n + 6b
an + b = 6(an-2 - an-1 + b) + 6n

Comparing coefficients, we get:
a = 6a - 6a + 0 = 0
b = 6b + 6n

Solving for b, we get b = n. Therefore, the particular solution is Pn = an + n.

Combining the homogeneous and particular solutions, we get:
fn = A(-7)^n + B(1)^n + an + n

Note that we can further simplify this by setting A and B based on initial conditions, if given.

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Answer:

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20

Step-by-step explanation:

Let

n = number of nickels

d = number of dimes

p = number of pennies.

n + d + p = 37

0.05n + 0.10d + 0.01p = 1.55

p = 2d

Substitute p = 2d into the equation

n + d + 2d = 37

0.05n + 0.10d + 0.01(2d) = 1.55

n + 3d = 37

0.05n + 0.10d + 0.02d = 1.55

n + 3d = 37 (1)

0.05n + 0.12d = 1.55 (2)

Multiply (1) by 0.05

0.05n + 0.15d = 1.85

0.05n + 0.12p = 1.55

Subtract

0.15d - 0.12d = 1.85 - 1.55

0.03d = 0.3

d = 0.3/0.03

= 10

d = 10

p = 2d

= 2(10)

p = 20

n + d + p = 37

n + 10 + 20 = 37

n + 30 = 37

n = 37 - 30

n = 7

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20

the area of the actual bridge deck in square feet is 1280 square feet. Therefore, the correct answer is 1280 square feet.

To find the area of the actual bridge deck in square feet, we can follow these steps:

Convert the scaled dimensions from inches to feet:

Scaled length = 24 inches ÷ 12 inches/foot = 2 feet

Scaled width = 4 and 4/5 inches ÷ 12 inches/foot = 0.4 feet

Use the scale factor to find the actual dimensions of the bridge deck:

Actual length = Scaled length × Scale factor = 2 feet × 40 = 80 feet

Actual width = Scaled width × Scale factor = 0.4 feet × 40 = 16 feet

Calculate the area of the actual bridge deck:

Area = Actual length × Actual width = 80 feet × 16 feet = 1280 square feet

Therefore, the area of the actual bridge deck in square feet is 1280 square feet. Therefore, the correct answer is 1280 square feet.

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Answer:

The greatest number of cutlery holders Layla can stock is 15 holders.

Step-by-step explanation:

You can put 2 of each type of cutlery in each holder.

12 forks use 6 holders.

18 knives use 9 holders.

6+9=15

The greatest number of cutlery holders Layla can stock is 15 holders.

The zero vector [0, 0, 0], the length would be √(0^2 + 0^2 + 0^2) = 0.

Examples of 3 element vectors include:
- [1, 2, 3]
- [-1, 0, 5]
- [3, -2, 1]
- [0, 0, 0]
- [4, 4, 4]
- [-2, -2, -2]

There are infinitely many 3 element vectors that have a length of 0. A vector with a length of 0 is called the zero vector, and it has all of its components equal to 0. In the case of a 3 element vector, the zero vector would be [0, 0, 0].

Examples of 3 element vectors include:
- [1, 2, 3]
- [-1, 0, 5]
- [3, -2, 1]
- [0, 0, 0]
- [4, 4, 4]
- [-2, -2, -2]

Remember that the length of a vector is calculated using the formula √(x1^2 + x2^2 + x3^2), where x1, x2, and x3 are the components of the vector. So, for the zero vector [0, 0, 0], the length would be √(0^2 + 0^2 + 0^2) = 0.

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Answer:

the real answer is 48 but if you round it to the nearest tenth it's 50

Step-by-step explanation: I hope my answer helps, if it does help can I get the brainliest answer, thanks.

Let x be the number of maximum miles that Tiffany can drive, then we can set the following equation:

Subtracting 18.95 from the above equation we get:

Dividing by 0.17 we get:

Now, since the cost is for each mile, then we have to round to the nearest lowest whole number, therefore, she can drive for 123 miles.

Answer: 123 miles.

Answer:

Either AAA or ASA

Step-by-step explanation:

Two angels are the same and the lengths that are considered are the same.

Thursday and Friday show a negative balance, then the answer is option c: II and II.

Overdrafts are charged when your balance is negative because it means the bank made a loan (an unexpected one) to you.

An overdraft occurs when a bank account holder withdraws more money than they have in their account. Banks typically allow account holders to spend more money than they have in their accounts, but they charge a fee or interest for doing so.

Overdraft protection is a service offered by many banks that automatically covers a certain amount of overdrafts, usually up to a certain limit, by transferring funds from a savings account or a line of credit. Banks will also charge a fee for this service.

Initial balance: $274

Day                Debit ($)     Credit ($)          Balance($)

Monday          194.62        35.45              274.00 - 194.62 + 35.45 = 114.83

Tuesday             ---             11.20              114.83 - 0 + 11.2 = 126.03

Wednesday      145.86        24.75             126.03 - 145.86 + 24.75 = 4.92

Thursday           53.35          33.80             4.92 - 53.35 + 33.8 = - 14.63

Friday                31.60          45.77            -14.63 - 31.60 + 45.77 = -0.46

Saturday           12.90          61.63            -0.46 - 12.90 + 61.63 =48.27

Thursday and Friday show a negative balance, then the answer is option c: II and II.

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Answer:

48cm³

Step-by-step explanation:

Volume of a Triangular Prism Formula

Is used To Find the 3-D space/ volume occupied by a triangular prism.

V=1/4h√((c+a−b)(a+b−c))× √((a+b+c)(b+c−a))

side length a = 4

side length b = 5

side length c = 3

prism height h = 8

V=1/4h√((c+a−b)(a+b−c))× √((a+b+c)(b+c−a))

V=1/4(8)√((3+4−5)(4+5−3))× √((4+5+c3)(5+3−4))

V= 48cm³

Answer:

( 3 , − 10 )

Step-by-step explanation:

Answer:

-3,10

Step-by-step explanation:

First, follow PEMDAS, then you will have your answer

Answer:

idk

Step-by-step explanation:

Complementary angles are pair angles with the sum of 90 degrees. We have Two complementary angles are in the  ratio 3:7:

α = 3k

β = 7k

Then:

3k + 7k = 90°

10k = 90

k = 90/10

k = 9

The bigger angle is:

β = 7(9) = 63°

Two Angles are Supplementary when they add up to 180 degrees.  Then the supplementary angle for β is:

x = 180 - 63°

The cost of the leather used to make 100 bicycle seats is assigned to a custom order to be shipped to a bike retailer. This indicates that the custom order was for 100 bicycle seats and that they will be sold to a bike retailer. When it comes to the assignment of cost, the cost of the leather is an indirect cost.

The cost of the leather used to make 100 bicycle seats is assigned to a custom order to be shipped to a bike retailer. This indicates that the custom order was for 100 bicycle seats and that they will be sold to a bike retailer. When it comes to the assignment of cost, the cost of the leather is an indirect cost. Since it cannot be directly traced to the product, it must be allocated to the cost of production based on the percentage of production cost.
When 100 bicycle seats are being produced, and the cost of the leather used in their production is $400, then the cost per bicycle seat is $4. This is calculated by dividing the total cost of the leather ($400) by the number of bicycle seats (100). If the custom order is for 100 bicycle seats, the cost of the leather used to produce the seats will be $400.
The bike retailer, who will purchase the custom order, will be charged a retail price that is higher than the production cost.

The amount of the retail price will be higher than $4 per seat, and it will be based on several factors such as profit margin, overhead, and other expenses associated with the production and sale of the bicycle seats.
In conclusion, the cost of the leather used to make 100 bicycle seats will be assigned to a custom order to be shipped to a bike retailer. The cost of production is an indirect cost, and it will be allocated based on the percentage of production cost. The bike retailer will be charged a higher retail price that takes into account the production cost, profit margin, overhead, and other expenses.

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Don't worry, just write it out.

\($\frac{15xy^7z^4}{5x^6yz^{16}} = \frac{15}5 \cdot \frac x{x \cdot x \cdot x \cdot x \cdot x \cdot x} \cdot \frac{y \cdot y \cdot y\cdot y\cdot y \cdot y \cdot y}{y} \cdot \frac{z^4}{z^{16}}$\)

Note that the top x cancels with one of the bottom x's, and on the other fraction, the bottom y cancels with one of the top y's. For the z's, using the same reasoning, the four z's on the top cancel with four on the bottom, leaving 16 - 4 = 12 z's on the bottom. So you get

\($3 \cdot \frac1{x \cdot x \cdot x\cdot x\cdot x} \cdot (y \cdot y \cdot y \cdot y \cdot y \cdot y) \cdot \frac 1{z^{12}}$\)

which is

\($3 \cdot \frac1{x^5} \cdot y^6 \cdot \frac 1{z^{12}}$\)

\($= \boxed{\textbf{D) }\frac{3y^6}{x^5z^{12}}}$\)

Answer:

x=8

154.

x-2=6

156

x=6+2

144

x=8

and 152.

Proved that the sum of two odd numbers is an even number, using a direct proof.

To prove that the sum of two odd numbers is an even number, we can use a direct proof. Let's start by defining what we mean by odd and even numbers

An odd number can be expressed as 2k + 1, where k is an integer.

An even number can be expressed as 2k, where k is an integer.

Now, let's assume that a and b are two odd numbers. That means we can express them as

a = 2k₁ + 1 (where k₁ is an integer)

b = 2k₂ + 1 (where k₂ is an integer)

We want to prove that the sum of these two odd numbers (a + b) is an even number. We can start by adding a and b:

a + b = (2k₁ + 1) + (2k₂ + 1)

= 2k₁ + 2k₂ + 2

= 2(k₁ + k₂ + 1)

Notice that we can factor out a 2 from the right-hand side of the equation, which leaves us with 2 times an integer (k1 + k2 + 1). This means that a + b is an even number, since it can be expressed as 2 times an integer.

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Answer:

m = 12

Step-by-step explanation:

\(-\frac{m}{3} =-4\\\)

→ Multiply both sides by 3

\({-m} =-12\\\)

→ Multiply both sides by -1

m = 12

Answer:

you need to addmission all number

Answer:

Option 3

Step-by-step explanation:

The slope is \(\frac{-2-6}{5-1}=-2\).

The equation of the line through \((x_1, y_1)\) with slope \(m\) is \(y-y_1=m(x-x_1)\).

y-6=-2(x-1) is the equation is a point slope form equation for line AB

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

point A, with coordinates (1, 6), and point B, with coordinates (5, -2)

m=-2-6/5-1

m=-8/4

=-2

So slope is -2.

The point slope intercept of line is

y-y₁=m(x-x₁)

y-6=-2(x-1)

Hence y-6=-2(x-1) is the equation is a point slope form equation for line AB

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Answer: A:500-300=4n and C:4n+300=500

Step-by-step explanation:

Answer:

Absolute value is to remove any negative sign in front of a number, and to think of all numbers as positive (or zero).

Hope this helped, good luck on your homework!

Answer:  how far a number is from zero

Step-by-step explanation: Cannot be a negative. The absolute value of -12 is 12.