find the slope of the line that passes through points (-1, -10) and (-1, -2)

The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

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Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

The graphs of the transformed functions are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

Here we have the quadratic parent function:

f(x) = x^2

And we want to apply some transformations, and then graph them.

The transformations are:

a) "Reflect the graph about the x-axis."

This is written as:

g(x) = -f(x)

Replacing f(x) by the actual function:

g(x) = -x^2

b) "Vertical compress by a factor of 13"

This is written as:

g(x) = f(x)/13 = x^2/13

c) "Vertical shift up 2."

This is written as:

g(x) = f(x) +2 = x^2 + 2

d)  "Horizontal shift right 3."

This is written as:

g(x) = f(x - 3) = (x - 3)^2

The graphs are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

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Answer:

The product of 5 and a number increased by six squared will be written in an algebraic expression such as:

\(5\left(n+6^2\right)\)

Step-by-step explanation:

Given the verbal expression

The product of 5 and a number increased by six squared.

Let us BREAK DOWN the verbal expression

Thus, the product of 5 and a number increased by six squared will be written in an algebraic expression such as:

\(5\left(n+6^2\right)\)

Answer:

a

Step-by-step explanation:

1/2x-30aaaaaaaaaaaaaaaa

Answer:

vigdjfopa

Step-by-step explanation:

Answer:

the answer is 2,-1 please mark me brainless thank you

Answer:

The answer would be (2,-1)

Step-by-step explanation:

Fill in 2 and then -1

The three cube roots of 4√3 + 4i are:

2(cos(π/18) + i sin(π/18))

2(cos(7π/18) + i sin(7π/18))

2(cos(11π/18) + i sin(11π/18))

To find the cube roots of a complex number, you can follow these steps:

Step 1: Write the complex number in polar form.

Step 2: Use the formula for finding the cube roots of a complex number in polar form. The formula for finding the cube roots of a complex number in polar form is:

        \(z^{\frac{1}{3}} = r^{\frac{1}{3} } [cos((\theta + 2k\pi)/3) + i sin((\theta + 2k\pi )/3)]\)

Step 3: Substitute the values into the formula.

Substitute the values for r and θ into the formula, and simplify.

Step 4: Calculate the cube roots.

Step 5: Write the cube roots in rectangular form.

Here we have 4√3 + 4i

The polar form of the complex number is

=> 4√3 + 4i = 8(cos(π/6) + i sin(π/6))

Using the formula, \(z^{\frac{1}{3}} = r^{\frac{1}{3} } [cos((\theta + 2k\pi)/3) + i sin((\theta + 2k\pi )/3)]\)

\(z^{\frac{1}{3}} = 8^{\frac{1}{3} } [cos((\pi /6 + 2k\pi)/3) + i sin((\pi/6 + 2k\pi )/3)]\)  

where k = 0, 1, 2.

Now, we can calculate the cube roots by substituting the values of k into the formula and simplifying. Here are the three cube roots:

Substituting k = 0, 1, 2 into the formula, we get:

k = 0: \(z^{1/3}\) = 2(cos(π/18) + i sin(π/18))

k = 1:  \(z^{1/3}\) = 2(cos(7π/18) + i sin(7π/18))

k = 2:  \(z^{1/3}\)  = 2(cos(11π/18) + i sin(11π/18))

Therefore,

The three cube roots of 4√3 + 4i are:

2(cos(π/18) + i sin(π/18))

2(cos(7π/18) + i sin(7π/18))

2(cos(11π/18) + i sin(11π/18))

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Answer:

C

Step-by-step explanation:

On each linear pair, there is one of the Vertical angles and an angle shared between the two angles. This means we can use the fact that supplements of the same angle are congruent.

The basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.

In the provided figure.

∠1 + ∠2 = 180 degrees ( linear pair of angles)...(i)

∠ 1 + ∠4 = 180 degrees ( linear pair of angles)...(ii)

According to transitive property, if a = b and b = c then a = c

Therefore,

∠1 + ∠2 = ∠1 + ∠4...(iii)

⇒∠2 = ∠4

Similarly, we can prove that

∠1 = ∠3

Therefore, we conclude that vertically opposite angles are always equal.

Hence, the basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Thus, statement c is correct.

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Answer:

I'm not sure

Step-by-step explanation:

sorry need point

3 because 1 person out of the 10 will receive 3/10 of the pizza.

This equation has infinitely many solutions.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Here, we have

Given: 3x+4y = -10...(1),

y = -3/4x - 5/2....(2)

We solve this linear equation and we get

We multiply equation (2) by 4 and we get

4y + 3x = -5(2)

4y + 3x = -10

Hence, this equation has infinitely many solutions.

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Answer:

Step-by-step explanation:

ratio of length to breadth=4:3

let breadth be x m

4/3=12/x(do cross multiplication)

3*12=x*4

36=4x

36/4=x

9=x

therefore breadth= 6m

The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.

To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30

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The implicit general solution is 0.5y² = -0.5x² + 0.5x + C, here C should pass through the origin of the circle. The family of curves (T)  represents the integral curve. The graph (T) is represented below.

a. To find the implicit general solution of the given differential equation, we can integrate both sides with respect to x. Let's start by rewriting the equation:

yy' = -x + 1/2

Integrating both sides:

∫ yy' dx = ∫ (-x + 1/2) dx

Using integration by parts on the left side, let u = y and dv = y' dx:

\(\int u dv = uv - \int v du\\\\y\int dy = \int (-x + 1/2) dx\\\\1/2 y^2 = -1/2 x^2 + 1/2 x + C\\\\0.5y^2 = -0.5x^2+0.5x+C\)

Where C is the constant of integration. This is the implicit general solution of the given differential equation.

b. The family of curves (T) that represents the general solution in an orthonormal system is known as the integral curves of the differential equation.

c. To find the graph (T) that passes through the origin O(0, 0), we substitute the point (x, y) = (0, 0) into the implicit general solution and solve for C:

\(1/2(0)^2 = -1/2(0)^2 + 1/2(0) + C\\\\0 = 0 + 0 + C\\\\\C = 0\)

So the graph (T) that passes through the origin is given by:

\(1/2 y^2 = -1/2 x^2 + 1/2 x\)

This equation represents the specific curve that satisfies both the differential equation and the condition of passing through the origin.

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Answer: \(a_{n}=1.5+0.75(n-1)\)

Step-by-step explanation:

The common difference is 2.25-1.5=0.75\(a_{n}=1.5+0.75(n-1)\). So, the explicit formula is

Answer:

a^5b^9

Step-by-step explanation:

a^2b^4 * a^3b^5 = a^5b^9

The product of a²b⁴ and a³b⁵ is a⁵b⁹.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given the two expressions as :

⇒ a²b⁴ and a³b⁵

To determine the product of a²b⁴ and a³b⁵

⇒ (a²b⁴) × (a³b⁵)  

Rearrange the terms like wise,

⇒ a²a³b⁴b⁵

Adding to powers of same base,

⇒ a⁽²⁺³⁾b⁽⁴⁺⁵⁾

⇒ a⁵b⁹

Hence, the product of a²b⁴ and a³b⁵ is a⁵b⁹.

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Answer:

The answer to ur question is C.) 43.5  

Step-by-step explanation:

Because 43.5 is the midpoint

Answer: q=13

Step-by-step explanation:

add the separate the q, add 4 to the 9= 13

13=q

Answer:

21 squares

Step-by-step explanation:

1 = 1

2 = 3

3 = 6

The pattern follows squares use in the previous stage + new stage = squares use the new stage

Squares used in stage 2 = Squares used in stage 1 + stage 2

= 1 + 2

= 3 squares

Squares used in stage 3 = Squares used in stage 2 + stage 3

= 3 + 3

= 6 squares

Squares used in stage 4 = Squares used in stage 3 + stage 4

= 6 + 4

= 10 squares

Squares used in stage 5 = Squares used in stage 4 + stage 5

= 10 + 5

= 15 squares

Squares used in stage 6 = Squares used in stage 5 + stage 6

= 15 + 6

= 21 squares

4 = 10

5 = 15

6 = 21

Answer:

(48, 3), (80, 5), (160, 10)

The algebraic expression is (7 + 3m)/27 < n

The statement is given as:

"The quotient of seven more than three times a number m and the number 27 is less than n"​

The numbers are represented as n and m

Quotient means divide

So, we have:

The quotient of seven more than three times a number m and the number 27 is represented as:

(7 + 3m)/27

The result is less than n.

So, we have:

(7 + 3m)/27 < n

Hence, the algebraic expression is (7 + 3m)/27 < n

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Answer:

7 and 4

Step-by-step explanation:

Answer:

15.56 in.

Step-by-step explanation:

i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.

find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)

use that number you just got (I got \(\sqrt{193}\)) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse

use the Phythagorean theorem again to find d, andddd... you've got your answer!

    Length of diagonal 'd' of the right rectangular prism given in the picture will be 14.765 inches.

             (Hypotenuse)² = (Leg 1)² + (Leg 2)²

By applying Pythagoras theorem in right tringle ΔCBE,

(CE)² = (BC)² + (BE)²

(CE)² = 5² + 12²

CE = √169 = 13 inches

Similarly, apply Pythagoras theorem in right triangle ΔDCE,

(DE)² = (CD)² + (CE)²

d² = 7² + (13)²

d² = 49 + 169

d = √218

d = 14.7648

d ≈ 14.765 inches

             Hence, measure of diagonal 'd' will be 14.765 inches.

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Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.

To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:

a/5 = b/3

5/a = 3/b (multiplying both sides by 5/a)

5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)

5/a = 1

Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

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Answer:

0

Step-by-step explanation:

Given that f(x) = 1/2x + 4

Let y = f(x)

y = 1/2 x + 4

Replace y with x

x = 1/2 y + 4

Make y the subject of the formula

1/2y = x - 4

y = 2(x-4)

If x = 3

y = 2(4-4)

y = 2(0)

y = 0

Hence ƒ -1(4) is 0

Slope = \(\frac{rise}{run}\) = \(\frac{7}{4}\)

y - intercept = -2

Answer:

Step-by-step explanation:

a² + b² = c²

12² + b² = 15²

b² = 225 - 144

b² = 81

b = 9