How many terms are in the expression
3x + 2y + Z
4
2
3
5

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

▪ Answer:

23

▪ Step-by-step explanation:

Hi !

7x + 4 + 2k =

replace x = 5 ; k = - 8

= 7(5) + 4 + 2(-8)

= 35 + 4 - 16

= 39 - 16

= 23

Good luck !

Answer:

The nth term rule of the quadratic sequence is \(2n^{2} +5n-3\).

Step-by-step explanation:

We are given the following quadratic sequence below;

4, 15, 30, 49, 72, 99, 130,...

As we know that the formula for the nth term of the quadratic sequence is given by =  \(an^{2}+bn+c\)

Firstly, we will find the difference between the term of the given sequence;

1st difference of the given sequence;

(2nd term - 1st term), (3rd term - 2nd term), (4th term - 3rd term), (5th term - 4th term), (6th term - 5th term), (7th term - 6th term)

= (15 - 4), (30 - 15), (49 - 30), (72 - 49), (99 - 72), (130 - 99),....

= (11, 15, 19, 23, 27, 31,.....)

Now, we will find the second difference of the given sequence, i.e;

= (15 - 11), (19 - 15), (23 - 19), (27 - 23), (31 - 27),....

= (4, 4, 4, 4, 4)

Since the differences are same now, so to find the value of a we have to divide the value of second difference by 2, i.e;

The value of a  =  \(\dfrac{4}{2}\) = 2

SO, the first term of the nth term rule equation is \(an^{2}\) = \(2n^{2}\).

Now, in the term \(2n^{2}\), put the value of n = 1, 2, 3, 4 and 5 and then form the sequence, i.e;

If n = 1, then \(2n^{2}\) = \(2 \times (1)^{2}\) = 2

If n = 2, then \(2n^{2}\) = \(2 \times (2)^{2}\) = 8

If n = 3, then \(2n^{2}\) = \(2 \times (3)^{2}\) = 18

If n = 4, then \(2n^{2}\) = \(2 \times (4)^{2}\) = 32

If n = 5, then \(2n^{2}\) = \(2 \times (5)^{2}\) = 50

SO, the sequence formed is (2, 8, 18, 32, 50).

Now, find the difference of this sequence and the original quadratic sequence, i.e;

= (4 - 2), (15 - 8), (30 - 18), (49 - 32), (72 - 50)

= (2, 7, 12, 17, 22)

Now, as we can see that the above sequence resembles the general form of (5n - 3) because:

If we put n = 1, then (5n - 3) = 5 - 3 = 2

If we put n = 2, then (5n - 3) = 10 - 3 = 7 and so on....

From this, we concluded that the value of b and c are 5 and (-3) respectively.

Hence, the nth term rule for the given quadratic sequence is \(2n^{2} +5n-3\).

\(50/60\)

That should be your answer

Answer:

Hello, There! I'm here to help!

Which fractions are equivalent to 10/12?

According to The Question I'm guessing you mean 10/12

If so The Following Fractions are Equilvalent to 10/12

1. 20/24

2. 30/36

3. 40/48

5. 50/60

Step-by-step explanation:

To get Eqilvalent You Can Multiply Number  to the fractions to find out what's Equilvalent

Therefore, I hope this helps you!

Answer:

1. .........................................

2. ..........................................

3. ..........................................

Answer:

constant of proportionality, k is 3

Step-by-step explanation:

constant, k= y/x

k=9/3

 = 3

The following is an equation fo curve if it passes through the point (-2,3) is  y=2 x^2-x-7.

What is Slope?

A graph is a set of vertices—points—and edges—the lines connecting those vertices in discrete mathematics. Graphs come in a variety of forms, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.

Slope of the carne at (x, y) is 4 x-1

Let the curve is: y=2 x^2-x-7

\($$\begin{gathered}\text { Slope: } \frac{d y}{d x}=\frac{d}{d x}\left[2 x^2-x-7\right] \\\frac{d y}{d x}=4 x-1\end{gathered}$$\)

And passes Iowa's the point (-2,3).

\($$\begin{aligned}& y=2 x^2-x-7 \\& 3=2(-2)^2-(-2)-7 \\& 3=8+2-7 \\& 3=10-7 \\& 3=3\end{aligned}$$\)

Satisfied.

y=2 x^2-x-7

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Answer:

609 /200

Step-by-step explanation:

Answer:

3 45/100

Step-by-step explanation:

Answer:

main aapki madad karna chahti hun per Mujhe Ae Jahan question Nahin Aata sorry I don't know

sorry dear friend

Step-by-step explanation:

ok I don't know

The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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According to the information we can infer that the change between 11 and 12 is 1.3 m/hr

To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:

According to the above, we can infer that the change between these two hours is 1.3 m/hr.

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Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

The equation for g(x) in vertex form is g(x) = (x - 2)^ + 3

From the question, we have the following parameters that can be used in our computation:

The graph of g(x)

Also, we have

The graph of g(x) is a translation of f(x)=x^2

From the graph, we can see that

Using the above as a guide, we have the following:

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

Substitute the known values in the above equation, so, we have the following representation

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

Hence, the equation for g(x) in vertex form is g(x) = (x - 2)^ + 3

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Step-by-step explanation:

here's the correct answer for this question, sorry I made a mistake before

Answer:

\( (180 - 2x)\degree \)

Step-by-step explanation:

In circle with center O, \( m\angle BCD = x\degree ... (given) \\\)

By inscribed angle theorem:

\( m\angle BCD= \frac{1}{2} \times m\widehat {BD} \\

\therefore x\degree = \frac{1}{2} \times m\widehat {BD} \\

\therefore \widehat {BD} = 2x\degree \\

\because m\widehat {BCD}+m\widehat {BD}= 360\degree \\(By\: arc\: sum\: postulate\: of\: a \: circle) \\

\therefore m\widehat {BCD}+2x\degree = 360\degree \\

\therefore m\widehat {BCD} = 360\degree - 2x\degree \\\\

\because m\angle BAD = \frac{1}{2}(m\widehat {BCD} - m\widehat {BD}) \\\\

\therefore m\angle BAD = \frac{1}{2}(360\degree - 2x\degree - 2x\degree) \\\\

\therefore m\angle BAD = \frac{1}{2}(360\degree - 4x\degree ) \\\\

\therefore m\angle BAD = \frac{1}{2}\times 2(180\degree - 2x\degree \\\\

\red {\boxed {\bold {\therefore m\angle BAD =(180- 2x)\degree}}} \\\\\)

Answer in its simplest form. = ∠BAD  = 180° - \(\bold {2x}\)

B, C and D are points on a circle, center O.

AB and AD are tangents to the circle

We have to find an expression for the size of ∠BAD in terms of x.

∠BCD = x ( Given )

Expression for the size of ∠BAD in terms of x can be derived from the following steps

Center angle is twice the angle inscribed at the arc of a circle .

∠BCD =(1/2) ∠ BOD

\(x =\) (1/2) ∠ BOD

\(\bold{2x}\) = ∠ BOD ........ (1)

So in quadrilateral BODA

∠BOD + ∠ BAD  = 180° ........(2)  ( By two tangent theorem)

Since ∠ ODA = 90 °

         ∠ OBD = 90 °

From Equation (1) and (2)

∠BAD  = 180° - \(\bold {2x}\)

Answer in its simplest form is  given by the expression given as follows ∠BAD  = 180° - \(\bold {2x}\)

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The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

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Answer:

90

Step-by-step explanation:

add the ratio 3+5 to get 8

amina received 3/8 of 240

perform the calculation 3/8×240

240/8=30. , 30×3=90

Answer:

Step-by-step explanation:

The values of the expressions 12 + x is 18, 3x + y is 21, 4y - 10 is 14,

xy is 30.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Finding the value of given expression when x = 6 and y = 5 is simply replacing x and y with their numeric values.

Given,

12 + x.

= 12 + 6.

= 18.

3x + y.

= 3(5) + 6.

= 15 + 6.

= 21.

4y - 10.

= 4(6) - 10.

= 24 - 10.

= 14.

xy.

= (5)(6).

= 30.

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Opportunity cost is the cost of the alternative forgone;

The cost of Maria spending more time on her studies is the wages from working in the kitchen which she does not earn and vice versa

The correct values are as follows:

a. The maximum wages Maria could earn is $130

b. The grades she can expect if she works 10 hours each week is grade C

c. She should make a decision to either quit school or quit her job

d. To become a pharmacists, she should study more and quit her job

To become a restaurant owner/manager, she should develop her restaurant/managerial skills more at the

The reason for the above responses are as follows:

The known parameters are:

The number of hours of free time Maria has each day = 4 hours

The activities Maria can use the four hours for = Studying or working at the Wang's Chinese kitchen

The amount she can earn per hour working = $6.50 per hour

Question a. Required;

The maximum wages Maria could earn working 5 days a week

Solution;

Taking the each unit on the horizontal axis of the attached graph as one day. There are 5 units which equal 5 days

if she works for the five days, she spends all the available time working and she earns maximum wage on the graph which is $130The maximum wages Maria could earn if she works five days a week = $130

b. Required:

The grade she can expect by working 10 hours a week

Solution:

The number of hours available each week = 5 × 4 hours = 20 hours

If she works 10 hours each week, she spends the remaining 10 hours studying which is half of her available time

The grades she can expect by working 10 hours each week (half of her spare time) is giving by the value of the graph at the middle of the of half the length of the horizontal axis values which is grade C

c. Required:

The advice for Maria if she is earning $50 each week and is making Ds

Solution:

If Maria is earning $50 each week, the number of days she is working = One day

The number of days she spends reading = 4 days

In order to improve her grades, she should increase the number of days she spends reading, and therefore, she should spend more than 4 days or the 5 days reading and she should stop working and forgo the $50 for a grade C

Therefore;

Maria has to make a decision to either quit school or quit her job

d. Part of the question that can be included as seen from a similar question online is as follows;

The advice for her if she is interested in becoming a pharmacists or a restaurant owner/manager

If she is interested in becoming a pharmacist, she should stop working and focus on her studies; Quit her job

If she interested in becoming a restaurant owner or manager, she should spend less time reading and spend much of her time at the Wang's Chinese kitchen to develop are restaurant business skills;

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Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

An equation is an expression that shows the relationship between two or more numbers and variables.

Let F represent temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

At 0°C, the temperature is 32°F. Also at 100°C, the temperature is 212°F, hence:

\(C-0=\frac{100-0}{212-32} (F-32)\\\\C=\frac{5}{9} (F-32)\)

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

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Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

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Answer:

A. F(x) = |x|

Step-by-step explanation:

Any number that substitutes for x inside of the absolute value parent function will be converted to a positive. Example: |-43| = 43

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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Answer:

I think the answer is six i just searched it  or it could be 12

Step-by-step explanation:

The greatest common factor (GCF) of 48 and 6 is 6, so:

48 - 6 = 42.

this isn't college level *laugh*

Answer:

170

c=a^2+b^2=7^2+11^2≈13.0384 or 170

Step-by-step explanation:

mrk me brainliest please

The correct definition for sec(0) is 1.

We have,

The secant function is defined as the reciprocal of the cosine function so for any angle θ.

sec(θ) = 1 / cos(θ)

In this case,

We are looking for the value of sec(0).

The cosine of 0 radians is equal to 1, since 0 radians is the angle at which the x-axis intersects the unit circle, and at that point, the x-coordinate (which represents the cosine) is equal to 1.

So,

cos(0) = 1

Now,

Using the definition of secant, we can find the value of sec(0) by taking the reciprocal of cos(0):

sec(0) = 1 / cos(0)

And,

cos(0) = 1

sec(0) = 1 / 1

Simplifying the expression.

sec(0) = 1

Therefore,

The correct definition for sec(0) is 1.

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