I need help asap pls help me

It is assumed here that rats always eat at the same rate, 3 rats eat 3 identical pieces of cheese in 3 hours.

6 rats eat 6 identical pieces of cheese in 6 hours.

Assuming rats eat at the same rate,

3 pieces of cheese last three rats?

It is assumed here that rats always eat at the same rate, 3 rats eat 3 identical pieces of cheese in 3 hours.

Therefore, six rats eat six identical pieces of cheese in six hours and 3 rats eat 3 identical pieces of cheese in 3 hours.

Learn more about same rate here;

https://brainly.com/question/26827735

#SPJ4

Option D is correct, there are no extraneous solutions to the equation.

The given equation is \(\sqrt{8x+9} =x+2\)

Let us solve for x:

Take square root on both sides:

\(8x+9=(x+2)^2\)

\(8x+9=x^2+4+4x\)

Now take the variable terms and constants on one side:

\(x^2-4x-5=0\)

\(x^2-5x+1x-5=0\)

\(x(x-5)+1(x-5)=0\)

\((x+1)(x-5)=0\)

x=-1 and x=5 are solutions.

Now, we will check both solutions to find any extraneous solution as:

\(\sqrt{8x+9} =x+2\)

When x=-1

\(\sqrt{8(-1)+9} =-1+2\)

\(\sqrt{1}=1\) so, it is true.

Now check for x=5:

\(\sqrt{8(5)+9} =5+2\)

7=7

Hence, there is no extraneous solution to our given equation and option D is the correct choice.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ12

Complete question:

Solve the radical equation. square root of 8x+9=x+2

Which is an extraneous solution to the radical equation?

(a)x = −1

(b)x = 1

(c)x = 5

(d)There are no extraneous solutions to the equation.

\( \huge\mathfrak\pink{❥Answer} \)

\(\sf {18.50 \: dollars}\)

\( \mathfrak \red{step \: by \: step \: explaination}\)

\( \sf { \frac{49.50 \: dollars}{3 \: months} } \)

\( \sf{ = 16.50 \: dollars} \: \)

\( \sf{16.50 \: dollars+ \: 2 \: dollars \: }\)

\( \sf{= 18.50 \: dollars}\)

Answer:

A. -2/7

Step-by-step explanation:

slope = rise/run = 2/(-7) = -2/7

False. Line charts are best suited for representing data that follows a sequential order, such as time series data. Nonsequential data is better represented by other types of charts, like scatter plots or bar graphs.

Line charts are graphical representations of data points connected by lines. They are commonly used to display trends over time or sequential data. For example, they are often used to show the change in stock prices over a period of time or the temperature variations throughout the day. This sequential order is the key feature of line charts.

However, for data that does not follow a sequential order, line charts may not be the best choice. Nonsequential data, such as categorical or unrelated data points, are better represented by other types of charts. Scatter plots, for instance, are useful for showing the relationship between two variables that are not necessarily ordered. Bar graphs can also be used to compare nonsequential data points in different categories.

In summary, line charts are not best suited for representing data that follows a nonsequential order. They are most effective when used to display data that has a clear sequential relationship, allowing for easy interpretation of trends and patterns.

To know more about Sequential visit.

https://brainly.com/question/32984144

#SPJ11

If the product is a positive integer is 32118, then the king's age is 53. There will be children is 6 and the length of the boat is 101 m.

The Latin term "Integer," which implies entire or intact, is where the word “integer” first appeared.

The puzzle demands three numbers - x, y, z which represent the king's number of children, age, and length of the boat respectively.

(r1), x, y, and z are positive integers different from 1 and such that -

XYZ = 32118

(r2) 4 ≤ x < y < 100

Begin with (r1) which leaves only a finite number of possibilities, whereas (r2), which does not restrict z at all, leaves an infinite number.

Therefore, we examine (r1). Now, 32118 is divisible by 6, and so we easily decompose it into prime factors:

32118 = 2 × 3 × 53 × 101

For a decomposition into three factors, we have to combine two of the four primes. Therefore, there are only six different ways to decompose the number 32118 into a product of three factors, all different from 1:

6 × 53 × 101

3 × 101 × 106

3 × 53 × 202

2 × 101 × 159

2 × 53 × 303

2 × 3 × 5353

Of these six possibilities, the remaining requirement (r2) rejects all except the first one, and so we obtain -

x = 6 , y = 53 and z = 101.

Therefore, there will be children is 6 and the length of the boat is 101 m.

To learn more about integers, refer to the link:

https://brainly.com/question/15276410

#SPJ1

the eigenvalues of the matrix A are:
-0.33, 1.71, 2.09 + 0.54i, 2.09 - 0.54i
Note that the complex eigenvalues come in conjugate pairs, which reflects the fact that matrix A is real and symmetric.

To find the eigenvalues of matrix A, we need to solve the characteristic equation det(A-λI)=0, where I is the identity matrix and λ is the eigenvalue.

For the given matrix A=[ 3 -4 2 1 ], the characteristic equation is:

det(A-λI) = det([ 3-λ -4 2 1 ][ λ 1 0 0 ][ 0 0 λ 1 ][ 0 0 0 λ ])

= (3-λ) [ (λ-1)(λ-1) + 8 ] + 4 [ (λ-1)(λ-1) - 2λ ] - 2 [ -4(λ-1) + 2λ ]

= λ⁴ - 7λ³+ 12λ² + 19λ - 18

Now, we need to find the roots of this polynomial to get the eigenvalues. We can do this by factoring or by using numerical methods such as Newton's method.

Using a calculator or computer, we can find that the roots of the polynomial are approximate:

λ ≈ -0.33, 1.71, 2.09 + 0.54i, 2.09 - 0.54i

Therefore, the eigenvalues of the matrix A are:

-0.33, 1.71, 2.09 + 0.54i, 2.09 - 0.54i

Note that the complex eigenvalues come in conjugate pairs, which reflects the fact that the matrix A is real and symmetric.

learn more about eigenvalues

https://brainly.com/question/29749542

#SPJ11

Answer:

The friend is correct.

Step-by-step explanation:

\(\frac{35}{100} =\frac{x}{20}\)

cross multiply:

700 = 100x

700/100 = 100x/100

7 = x

Your friend is correct. The method they used to solve is also a valid way of solving.

hope this helps!

Answer:

your answer is 12 units

Step-by-step explanation:

I hope it helps

The perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

What is meant by the perimeter of a figure?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Given,

the scale factor = 4/5

The perimeter of the smaller rectangle = 45 cm

We are asked to find the perimeter of the larger rectangle(x).

Here both the rectangle are similar figures.

So the scale factor is the ratio of their corresponding sides.

But since the perimeter of a rectangle is the sum of the length of its sides.

The scale factor is also the ratio of the perimeter of the smaller rectangle to the larger rectangle.

Perimeter of small rectangle/Perimeter of large rectangle = 4/5

45/x = 4/5

x = 45 * 5 / 4 = 56.25cm

Therefore the perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

To learn more about perimeter, follow the link.

https://brainly.com/question/397857

#SPJ1

Answer:

C

Step-by-step explanation:

If you look at the two angles, one is 7x and the other is 11x, they appear to be next to each other and make a right angle, if you look at the bottom corner of them there is a square which means it is a right angle. this means that if you put 7x with 11x it would = 90

Answer:

4 2/3

Step-by-step explanation:

Any negatives in absolute value signs can be turned positive because it is the same distance from 0 in the number line. (right or left, but in this case, the distance is ALWAYS positive)

Answer: -11/2

Step-by-step explanation:

Measurement scale is used for each variable:

1. Age: Quantitative, Ratio

2. Gender: Categorical, Nominal

3. Income: Quantitative, Ratio

4. Zip Code: Categorical, Ordinal

A quantitative measurement scale is a type of measurement system that uses numbers to quantify a variable or set of variables. This type of scale is commonly used in research, where it is important to measure a wide range of variables in order to draw accurate conclusions.

Ratio measurement scales are scales that use numbers to denote the relative magnitude of the characteristic being measured. These scales have an absolute zero point and the distances between the points are equal. Ratio scales provide meaningful quantitative.

A categorical measurement scale is a type of scale used to classify data into categories, such as gender, age, race, or occupation. It is used in research to collect and analyze data that cannot be measured using quantitative methods.

A nominal measurement scale is a type of scale used in research that uses distinct categories or names to identify different values of a variable. This type of scale does not have a meaningful order, as the categories do not have numerical values associated with them.

To learn more about Measurement scale link is here

brainly.com/question/13770371

#SPJ4

Answer:

$214.

Step-by-step explanation:

30 hrs x 5 = 150.

Any hours above 30 = $8

8x8=64.

150+64=214

Answer:$214

Step-by-step explanation: To get 214 dollars we first find how much money Josi makes before exceeding 30 hrs which is 30 x 5 = $150

Then 38-30= 8hr extra so, if $8 per extra hour means 8 x 8 = $64 over time

Finally 150 + 64 =$214

Answer:

v=53 degrees

Step-by-step explanation:

So since 180 degrees in tri, v-23+2v+v-9=180

Plus 23 and 9: 4v=212

v=53 degrees

Yes, even if you don't know how many handshakes there were overall, you can be sure that there were at least two guests who had the same number.

Assume that the gathering will have n visitors. With the exception of oneself, each person may shake hands with n-1 additional individuals. For each guest, this means that there could be 0, 1, 2,..., or n-1 handshakes.

There will be the following number of handshakes if each guest shakes hands with a distinct number of persons (i.e., no two guests will have the same number of handshakes):

0 + 1 + 2 + ... + (n-1) = n*(n-1) divide by 2

The well known formula for the sum of the first n natural numbers . The paradox arises if n*(n-1)/2 is not an integer since we know that the actual number of handshakes must be an integer. The identical number of handshakes must thus have been shared by at least two other visitors.

Learn more about arithmetic progressions at brainly.com/question/24592110

#SPJ4        

The trigonometric values are:

\(cos(\frac{3\pi}{4})=\frac{1}{\sqrt{2} } \\\\sin(\frac{3\pi}{4})=\frac{1}{\sqrt{2} }\)

The given trigonometric identities are:

\(cos(\frac{3\pi}{4} )\\\\sin(\frac{3\pi}{4})\)

Note that:

\(\pi=180^o\\\\\frac{3\pi}{4}=135^0\)

Therefore, using the calculator for the given expressions:

\(cos(\frac{3\pi}{4})=cos135^0=\frac{1}{\sqrt{2} } \\\\sin(\frac{3\pi}{4})=sin135^0=\frac{1}{\sqrt{2} }\)

Learn more on exact values of trigonometric expressions here: https://brainly.com/question/11907145

#SPJ1

Answer:

B answer is correct hiiii

Answer: 50

Step-by-step explanation:

Answer:

Corresponding angles

Step-by-step explanation:

A corresponding angles is, and I quote, "the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal." (See image below)

So, looking at our words and graph, 5 and 1 are corresponding angles!

Hope this helped!

Source(s) used: G*ogle

The solutions to the equation 2 cos(θ) = √2 on the interval [0, 2π] are:

θ = π/4 and θ = 7π/4.

To find all solutions to the equation 2 cos(θ) = √2 on the interval [0, 2π], we can start by isolating the cosine term:

cos(θ) = √2 / 2.

Now, we need to determine the values of θ that satisfy this equation. The cosine function is positive in the first and fourth quadrants, so we can write:

θ = arccos(√2 / 2).

Using the inverse cosine function, we find that:

θ = π/4 or θ = 7π/4.

However, we need to consider the given interval [0, 2π]. Both of these solutions fall within this interval.

Therefore, the solutions to the equation 2 cos(θ) = √2 on the interval [0, 2π] are:

θ = π/4 and θ = 7π/4.

Learn more about interval here:

https://brainly.com/question/11051767

#SPJ11

Answer:

Answer:

discovery of jupiter's mons which did not orbit earth

Step-by-step explanation:

Answer: 7*10∧7

Step-by-step explanation:

Answer:

To stay within budget, she must use 3.9 gigabytes.

Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.

Let's assume the number of gigabytes of data Caroline can use while staying within her budget is represented by the variable "x."

The flat cost per month is $54.50, and Caroline pays an additional $5 per gigabyte.

If she wants to keep her bill at $74 per month, the equation can be set up as follows:

54.50 + 5x = 74

To solve for "x," we can isolate the variable on one side of the equation. First, subtract 54.50 from both sides:

5x = 74 - 54.50

5x = 19.50

Finally, divide both sides by 5:

x = 19.50 / 5

Simplifying the division gives us:

x = 3.9

Therefore, Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.

Learn more about equation click;

https://brainly.com/question/29657983

#SPJ6

\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-5}{h}~~,~~\underset{9}{k})}\qquad \stackrel{radius}{\underset{14}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-5) ~~ )^2 ~~ + ~~ ( ~~ y-9 ~~ )^2~~ = ~~14^2\implies (x+5)^2 + (y-9)^2=196\)

Therefore , the solution of the given problem of equation comes out to be  x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.

In order to demonstrate consistency between two opposing statements, variable words are frequently used in sophisticated algorithms. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider expression the details as y + 7 offers. In this case, elevating produces b + 7 when partnered with building y + 7.

Here,

If n is a negative number and 5 + x = n, then x must be less than -5.

This is due to the fact that n would be greater than or equal to 5, which is not a negative number, if x were greater than or equal to -5, which would lead 5 + x to be greater than or equal to 0.

However,

if x is less than -5, then 5 + x will be less than 0, and n will be a negative number because n will be less than 5.

Therefore, x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

46

Step-by-step explanation:

The n th term of an AP  is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here d = - 3 and \(a_{18}\) = - 5 , thus

a₁ + (17 × - 3) = - 5

a₁ - 51 = - 5 ( add 51 to both sides )

a₁ = 46

Answer:

a = 46

Step-by-step explanation:

Refer to the attachment.

Answer:

C

Step-by-step explanation:

13/18 is .72222222

.5+.222=.722

Answer:

The required values are b=-6 and d=4

Step-by-step explanation:

The graph corresponds to the function

\(r(x) =x^2+bx^2+8x+d\)

We are required to find the values of b and d.

They can be found by using two points that are clearly visible on the graph. For example, the points (0,4) and (2,0) belong to the function. Substituting their values in the function:

\(4 =0^2+b*0^2+8*0+d\)

Simplifying:

4 = d

d = 4

Now use the point (2,0):

\(0 =2^2+b*2^2+8*2+d\)

Since d=4, and calculating

\(0 =4+4b+16+4\)

Simplifying:

\(4b = -24\)

Dividing by 4:

\(b = -24/4 = -6\)

\(b = -6\)

The required values are b=-6 and d=4