Katie says that if a number is a multiple of 8, it is also a multiple of 4. Is Katie correct? Explain.


Katie is correct. Any number that has 4 as a factor will also have 8 as a factor; therefore, any number that has 8 as a factor will have 4 as a factor.


Katie is correct. Since 4 is a factor of 8, any multiple of 8 will also be a multiple of 4.


Katie is incorrect. 80 is a number that has 8 as a factor but not 4.


Katie is incorrect; just because 4 is half of 8 does not mean that a number that has 8 as a factor will also have 4 as a factor. HELP PLS ASAP PLS AND THANK U

The correct option regarding the solutions of the system of equations for this problem are given as follows:

The solutions are (-1.19, 4.47) and (2.52, 27.92).

The system of equations for this problem is defined as follows:

Adding the two equations, we can eliminate the variable y, hence:

3x² - 4x - 9 = 0.

Meaning that this is a quadratic equation with the coefficients given as follows:

a = 3, b = -4, c = -9.

Inserting these parameters into a quadratic equation calculator, the solutions for x of the quadratic equation are given as follows:

x = -1.19 and x = 2.52.

When x = -1.19, the solution for y is calculated as follows:

y = 4x² + x = 4(-1.19)² - 1.19 = 4.47.

When x = 2.52, the solution for y is calculated as follows:

y = 4x² + x = 4(2.52)² + 2.52 = 27.92.

Meaning that the correct option is given by the second option.

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The value of the sequence is (c) 13, 25, 37, 49

The definition of the sequence is given as

a(1) = 13

a(n) = a(n - 1) + 12

The above definitions imply that we simply add 12 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a(2) = 13 + 12 = 25

a(3) = 25 + 12 = 37

So, the sequence is 13, 25, 37

Hence, the value is (c)

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Answer: a.

Look at the tables closely, many of them are either trick questions or flat out wrong.

From given circle, Measure of arc FG = 23πr/45 and ∠FHG = 92°.

The distance between the two locations along a segment of a curve is known as the arc length. Any portion of the circumference is an arc in a circle. The angle that an arc occupies at any given point is the angle created by the two line segments that connect that point to the arc's endpoints.

Length of an Arc = r, where is in radians, is the formula used to express the arc length of this arc OP.

The measure of ∠FHG = 2 × 46° [As Angle at center equals twice at circumference]

So, ∠FHG = 92°

Measure of the arc FG = 2πr(θ/360°)

FG = 2πr(92/360)

FG = 23πr/45

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Canvas cannot track tabs.

While Canvas cannot track whether students switch to new tabs in their web browsers during a quiz or test, it can track when a student completes a quiz and navigates to a different page on the website rather than the one they were previously on. However, the general public cannot access this data.

In a perfect world, Canvas wouldn't be able to tell if a student opened new tabs in a browser or a new program or online browser while taking a quiz or test. However, Canvas will watch over and restrict student internet activity if the exam is proctored.

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Answer:

C

Step-by-step explanation:

we have to solve the associated equation:

(x+5)(2x-8) = 0

a product is equal to 0 if at least one of its factors is equal to 0

so we can solve this two equations

x + 5 = 0    x = -5

2x - 8 = 0.   x-4 = 0      x = 4

Answer:

x = 3

Step-by-step explanation:

The weight of the left side is to match that of the right side.

5x + 2 = 17,

so 5x = 15, and x = 3

Answer:

See the picture below

Step-by-step explanation:

Answer: I don't know

Step-by-step explanation:

The quadratic functions that have an axis of symmetry at x = -2 are given as follows:

The standard definition of a quadratic function is given by the rule presented as follows:

y = ax² + bx + c, in which a is different of zero.

The axis of symmetry is given by the x-coordinate of the vertex, hence it's equation is defined as follows:

x = -b/2a.

Meaning that the correct options are given by the first and by the fourth options in this problem.

For the first function, we have that:

a = 1, b = 4.

Hence the axis of symmetry is obtained as follows:

x = -4/2 = -2.

For the fourth function, we have that:

a = -2, b = -8.

Hence:

x = -8/4 = -2.

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Answer:

the perimeter is 25 miles

Answer:

30 mi

Step-by-step explanation:

This is a right triangle, so the Pythagorean Theorem applies:

13^2 + x^2 = 12^2, or

x^2 = 25 and x = 5.

The perimeter is the sum of the dimensions of this triangle:  

12 mi + 5 mi + 13 mi = 30 mi

This is a function that takes in a geometry object as an input and calculates its area. It then returns the calculated area as an output.

1. Create a function with the desired name and parameters. In this case, the function is called “getArea” and takes in a geometry object as a parameter:

function getArea(geometry)

2. Calculate the area of the geometry using the “area” function in GEE:

var area = geometry.area();

3. Return the calculated area:

return area;

4. End the function:

This function will take in a geometry object and return its area. This can be used to calculate the area of any geometry, such as a polygon or a line. This is a useful function for GEE applications, as it can be used to quickly calculate the area of any given geometry.

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The equation is 4x + 17 = 7. Then the value of the variable 'x' will be negative 2.5.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangles are congruent triangles. Then the ratio of the corresponding sides will be equal to one. Then the equation is given as,

4x + 17 = 7

Simplify the equation, then we have

4x + 17 = 7

4x = 7 - 17

4x = - 10

x = - 10/4

x = - 2.5

The equation is 4x + 17 = 7. Then the value of the variable 'x' will be negative 2.5.

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Answer:

1.

Step-by-step explanation:

60+60+61 is 181 and a triangle always has 180 degrees

Answer: hope this helps

Step-by-step explanation:

600/750 = 4/5

The number of beans is 4/5*300.

The number of carrots is 1/2*4/5.

Answer:

Area of circle = 530.66 unit sq

Step-by-step explanation:

here's your solution

==> Diameter of circle = 26 units

==> Radius of circle = 13

==> Area of circle = πr^2

==> Area of circle. = 3.14*(13*13)

==> Area of circle = 530.66 unit sq

hope it helps...

Complete question :

The Quick Ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces. C(w) 0.45w 0.35w + 1.6 if 0 < W 16 Which statement about the shipping rate is true?

A.it is possible that an item weighing less then 16 ounces could cost the same as an item weighing more than 16 ounces

B. to find the charge for shipping a package weighing more than 16 ounces, multiply the weight by $.035.

C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate

D. if the weight is greater than 16 ounces,the shipping rate is $.0.35 per ounce, plus $1.60​

Answer:

C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate

Step-by-step explanation:

The shipping rates are :

C(w) = 0.45w

Second rate :

C(w) = 0.35w + 1.6

For the first shipping rate, it only has a rate of change value which varies based on the weight of item to be shipped, C(w) = 0.45w.

However, the second shipping rate includes a fixed rate and rate based on the weight of item. This fixed rate implies that regardless of the weight of item to be shipped, a fixed fee is charged which is $1.60. This means that the shipping fee at the secind rate will always be $1.60 greater than thebfirst shipping rate.

Therefore , the solution of the given problem of equation comes out to be 1.45 mph (speed of the current).

A mathematical depiction of two equal things, one on either side of a "equals" sign, is called an expression. Equations can be used to solve common problems. To solve challenges in real life, we frequently turn for pre algebra assistance. Lessons in pre-algebra cover the foundational ideas of mathematics.

Here,

The 15 miles that Bob the Boy Scout must paddle upwards against the current takes him 10 hours.

He discovers that paddling 22.5 miles against the current only took him 5 hours when he turns back.

——

Upstream data: rate = d/t = 15/10 = 1.5 mph, distance = 15 miles, time = 10 hours.

————————

Downstream DATA: rate = d/t = 22/5 = 4.4 mph; duration = 5 hours; distance = 22 miles.

———————-

Equations:

upstream: Downstream, b-c = 1.5 mph; b+c = 4.4 mph

2b = 5.9 mph;

2b = 2.95; add and solve for "b" (speed of the boat in still water)

—-

For "c," use the formula

=> b + c = 4.4

=>2.95 + c = 4.4

=> c = 1.45 mph (speed of the current)

Therefore , the solution of the given problem of equation comes out to be 1.45 mph (speed of the current).

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The properties of the rational exponents are given and a rational equation is of the form b = aˣ

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the rational exponent equation be A

Now , the properties of the exponent equations are

mᵃ×mᵇ = mᵃ⁺ᵇ

The powers of the exponents are added together

mᵃ / mᵇ = mᵃ⁻ᵇ

The powers of the exponents are subtracted together

( mᵃ )ᵇ = mᵃᵇ

The powers of the exponents are multiplied together

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

Any number raised to the power of 0 is 1

m⁻ᵃ = ( 1 / mᵃ )

Hence , the exponents are solved

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Answer: 1st, 4th, and 5th choices

Answer:

10 cm, 6cm, 8cm

Step-by-step explanation:

Answer:

10 cm,6 cm,8 cm

Step-by-step explanation:

A Pythagorean triple is a set of three positive integers a, b, and c that satisfies the equation a2 + b2 = c2.

In this case, the triple is (3, 4, 5) and (5, 12, 13).

The equation for the first triple is 32 + 42 = 52.

3² = 9

4² = 16

9 + 16 = 25

25 = 25

The equation for the second triple is 52 + 122 = 132.

5² = 25

12² = 144

25 + 144 = 169

169 = 169

Therefore, both sets of numbers are Pythagorean triples because they both satisfy the equation a2 + b2 = c2.

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Answer:

A (2,3); B (5, 2.5) C: (.5, -1.5)

Step-by-step explanation:

divide everything by 2

2) y+ 3÷y is the equation that is not a polynomial. Using addition, subtraction, multiplication, and division of numbers .

Using just the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables, a polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients. Using addition, subtraction, multiplication, and division of numbers, a polynomial is an equation that combines variables, constants, and exponents (No division operation by a variable).

given

An algebraic mathematical equation known as a polynomial might have two components. coefficients and parameters

You can combine the solutions to these algebraic equations to achieve the result.

It follows the general formula as follows:

a + a1 + a+ …

2)y+ 3y is the equation that deviates from the formula above.

So, 2)y+ 3y is the equation that is not a polynomial.

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The probability of the two cards being D and D, P(D, D), is 4/9. The correct option is: 4/9.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.

Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.

Calculating probability of selecting a card:

From the question, we are to determine the probability of selecting two cards with D and D

From the formula for probability, we have that

P(D) = Number of favorable outcomes to D / Total number of possible outcomes

From the given information,

Number of favorable outcomes to D = 2

Number of possible outcomes = 3

Thus,

P(D) = 2/3

Then,

The probability of selecting two cards that have D and D with replacement is

P(D, D) = P(D) × P(D)

P(D, D) = 2/3 × 2/3

P(D, D) = 4/9

Hence, the probability is 4/9.

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Answer:

right triangle m=5

Step-by-step explanation:

because it has a 90 degree angle

Answer:

30 feet

Step-by-step explanation:

a = l * w

Its a square so l and w are the same

x * x = 900

30 * 30 = 900

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

If you know about square roots

x = √900

x = 30

Answer:

1 ture

2 false

3 false

4 ture

Step-by-step explanation:

[tex]\huge\text{Hey there!}}[/tex]

[tex]\mathsf{x^2 - 4x = 0}[/tex]

[tex]\text{Factor the LEFT side of your given equation to make it easier to solve}[/tex]

[tex]\mathsf{x(x - 4) = 0}[/tex]

[tex]\text{Set the factors to equal to the number 0}[/tex]

[tex]\mathsf{x - 4 = 0\ \& \ x = 0}[/tex]

[tex]\text{Simplify find and you should be able to have your answer to the given equation}[/tex]

[tex]\mathsf{x = 4 \ \& \ x = 0}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 4\ or \ x = 0}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]