Solve for y
4x + 7y +5

Answers

Answer 1
To find the slope, m, of the line represented algebraically by the given linear equation in two variables: 4x = 7y + 5, first put the given equation in the slope-intercept form of the equation of a straight line, i.e., y = mx + b, as follows:

4x = 7y + 5 (Given)

4x - 5 = 7y + 5 - 5

4x - 5 = 7y + 0

4x - 5 = 7y

7y = 4x - 5 since equality is symmetric, i.e., if a = b, then b = a.

(7y)/7 = (4x - 5)/7

(7/7)y = (4x)/7 - 5/7

(1)y = (4/7)x- 5/7

y = (4/7)x - 5/7

From the last step above, the given equation is now in the slope-intercept form of the equation of a straight line: y = mx + b, i.e., y = (4/7)x - 5/7; therefore, we can now see by observation, that the slope of the line is m = 4/7 which means that the line has a positive slope, i.e., it's > 0, which means that if the line were to be constructed on a Cartesian coordinate system, it would slope upward from left to right and would intersect the y-axis at the point (0, -5/7).

Related Questions

Listed below are numbers of internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. construct aâ scatterplot, find the value of the linear correlation coefficientâ r, and find theâ p-value of r. determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. use a significance level of alpha α equals = 0.05 0.05. internet users 78.0 78.0 79.0 79.0 56.2 56.2 68.3 68.3 77.9 77.9 38.2 38.2 award winners 5.5 5.5 8.8 8.8 3.3 3.3 1.7 1.7 10.8 10.8 0.1 0.1

Answers

Answer:

There is not sufficient evidence to support a claim of linear correlation between the two variables.

Step-by-step explanation:

The data provided is as follows:

X        Y

78       5.5

79       8.8

56.2      3.3

68.3       1.7

77.9      10.8

38.2       0.1

(a)

The scatter plot is attached below.

(b)

Use the Excel function: =CORREL(array1, array2) to compute the correlation coefficient, r.

The correlation coefficient between the number of internet users and the award winners is,

r = 0.797.

(c)

The test statistic value is:

[tex]t=r\sqrt{\frac{n-2}{1-r^{2}}}[/tex]

  [tex]=0.797\times\sqrt{\frac{6-2}{1-(0.797)^{2}}}\\\\=0.797\times 3.311372\\\\=2.639163484\\\\\approx 2.64[/tex]

The degrees of freedom is,

df = n - 2

   = 6 - 2

   = 4

Compute the p-value as follows:

[tex]p-value=P(t_{n-2}<2.64)=0.057[/tex]

*Use a t-table.

p-value = 0.057 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that there is not sufficient evidence to support a claim of linear correlation between the two variables.

Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. What question does the equation 525=25(x-2) help answer?

Answers

Answer

The total number of members (with the absentees included)

The area of a square field is 60025 square metre. Find the perimeter of the field. With explanation .

Answers

Answer: P≈2.4×10 power5

Step-by-step Explanation: P=4a=4·60025=2.401×10 power5

Answer:

[tex]\huge \boxed{\mathrm{980 \ m}}[/tex]

Step-by-step explanation:

The formula for the area of a square is:

[tex]A=s^2[/tex]

The area is given as 60025 m².

We need to find the length of each side.

[tex]60025=s^2[/tex]

Take the square root of both sides.

[tex]s=245[/tex]

The side length is 245 m.

The formula for the perimeter of a square is:

[tex]P=4s[/tex]

Plug in the value for the side length.

[tex]P=4(245)[/tex]

[tex]P=980[/tex]

The perimeter of the field is 980 m.

Manuel is saving money for college. He already has $250. He plans to
save another $50 per month,
Regardless of how many months he saves, how much does he save each
month?

Answers

Step-by-step explanation:

That is $250-$50=$200

why because he plans to

save $50 per month and

he already has$250to begin

so that explains what i did

if y is directly proportional to x and y=5 when x=2, find the value of y when x =7​

Answers

Answer:

y = 17.5

Step-by-step explanation:

y = kx

→ Substitute in the values

5 = 2k

→ Divide both sides by 2 to isolate k

k = 2.5

⇒ y = 2.5x

→ Substitute in x = 7

y = 2.5x ⇔ y = 2.5 × 7 ⇔ y = 17.5

What is the length of BC?

Answers

Answer:

The answer is option B

2.1

Step-by-step explanation:

To find the length of a we use the cosine rule

That's

a² = b² + c² - 2bc cos A

We have

a² = AB ² + AC ² - 2(AB)(AC) cos A

From the question

AB = 6

AC = 5

A = 20°

Substituting the values into the above formula we have

a² = 6² + 5² - 2(6)(5) cos 20

a² = 36 + 25 - 60cos 20

a² = 61 - 56.38

a² = 4.62

Find square root of both sides

a = √4.62

We have the final answer as

a = 2.1

Hope this helps you

What is the volume of the cone shown below?

Answers

Answer:

C. 96 pi

Step-by-step explanation:

Formula for volume of cone = 1/3 * h * pi * r^2

1. 1/3 * 18 * 4^2 * pi

2. 96 pi

I hope this helps

Answer:

C. 96π cubic units

Step-by-step explanation:

The volume of a cone can be found using the following formula.

[tex]V=\frac{1}{3} \pi r^2h[/tex]

The radius of the cone is 4 units and the height is 18 units.

r= 4 units

h=18 units

Substitute the values into the formula.

[tex]V=\frac{1}{3} \pi (4units)^2(18 units)[/tex]

First, evaluate the exponent, 4 units^2.

4 units^2= 4 units * 4 units= 16 units^2

[tex]V=\frac{1}{3}\pi(16 units^2)(18 units)[/tex]

Next, multiply 16 units^2 and 18 units

16 units^2*18 units= 288 units^3

[tex]V=\frac{1}{3}\pi(288 units^3)[/tex]

Next, multiply 1/3 and 288 units^3, or divide 288 units^3 by 3.

1/3 * 288 units^3 =96 units^2

288 units^3/3=96 units^3

[tex]V=\pi*96units^3[/tex]

This can be rewritten as:

[tex]V= 96\pi units^3[/tex]

The volume of the cone is 96π cubic units. Therefore, C is the correct answer choice.

Help please!! Thanks

Answers

Answer:

B

Step-by-step explanation:

area of the full piece of pie. π(8)²*60/360 (we know 60°, because it's an equilateral triangle)

32π/3

now subtract the area of the triangle

1/2(8)(4√3) = 16√3

32π/3 - 16√3

write a equation of a line that has a slope of 5 and passes through the point (2,13)

Answers

Answer:

y = 5x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5, thus

y = 5x + c ← is the partial equation

To find c substitute (2, 13) into the partial equation

13 = 10 + c ⇒ c = 13 - 10 = 3

y = 5x + 3 ← equation of line

...................................................

Answers

Answer:

11.21157846 =x

Step-by-step explanation:

We know log b (a) = c  can be written as b^c =a

log 3 (x) = 2.2

3^2.2 = x

11.21157846 =x

Answer:

[tex]\large \boxed{\sf \bold{A.} \ x=11.21}[/tex]

Step-by-step explanation:

[tex]\large \sf log_3 (x)=2.2[/tex]

Solve this by converting the logarithmic statement into its equivalent exponential form, using the relationship:

[tex]\large \sf log_b(y)=x[/tex]

[tex]\large{\sf y=b^x}[/tex]

Apply the relationship.

[tex]\large \sf log_3 (x)=2.2[/tex]

[tex]\large \sf x=3^{2.2}[/tex]

[tex]\large \sf x=11.21157845...[/tex]

[tex]\large \sf x \approx 11.21[/tex]

the number ten is raised to a power between 0 and 1. The answer has to be between which two numbers?

Answers

Any number raised to 0 is equal to 1
And any number raised to 1 is the same number

   Value of [tex]10^x[/tex] will be between 1 and 10.

 Given in the question,

A number [tex]10^x[/tex] where, 0 < x < 1

If we have to find the range of the value of the number, substitute x = 0 and 1

[tex]10^0=1[/tex]

[tex]10^1=10[/tex]

  Therefore, value of [tex]10^x[/tex] will vary between 1 and 10.

Learn more,

https://brainly.com/question/19465964

What is the numerical coefficient of the linear term of the quadratic equation 3x2 − 9 =0?

Answers

Answer:

0

Step-by-step explanation:

The numerical coefficient of the linear term of the quadratic equation is 0 because there is no linear term, and 0 times any number or term is 0, or nothing.

Please help me solve this. With Reasoning
6 2/5 - 4 2/3

Answers

Answer:

1 and 11/15.

Step-by-step explanation:

To solve, we can separate the integers from the fractions.

(6 - 4) + (2/5 - 2/3)

= 2 + (6/15 - 10/15)

= 2 + (-4/15)

= 1 + 15/15 - 4/15

= 1 + 11/15

= 1 and 11/15

Hope this helps!

URGENT WILL GIVE BRAINLIEST TO FIRST RESPONDER You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the ground and use trig to calculate the height. The shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees. This forms a right triangle. a. What is the measure of the other acute angle? b. What is the height of the tree? c. You are standing at the end of the tree's shadow and want to take a picture of the tree but your camera can only focus at distance less than 500 feet. When you hold the camera to take the picture it is 5 feet above the ground. What is the distance from the end of the shadow to the top of the tree? d. Can you take a clear picture of the top of the tree from where you are standing?

Answers

Answer:

a) 55 degrees

b) 350 ft.

Step-by-step explanation:

a- the sum of angles of triangle=180

( since it is right angle , one angle is 90 degrees), x be the acute angle

x+35+90=180

x=180-125

x=55 degrees

b) tan 35= height of a tree/ length of a shadow

height of a tree=tan35*500=350.103≅350 ft ( rounded to nearest tens)

c)  hypotenuse²=350.1²+500²

c=√350.1²+500²

c=610.385 ft

d) no because the distance is more than 500

find 5 rational numbers between -3 and -4

Answers

Answer:

-3.2, -3.4, -3.6, -3.8, -3.9

Step-by-step explanation:

Hey there!

Well rational numbers can be a decimal as long as it can be turned into a fraction, meaning 3.5 is a rational number.

So rational numbers between -3 and -4 are,

-3.2, -3.4, -3.6, -3.8, -3.9

Hope this helps :)

For example:

-3.5

-3.0040012

-3.(91)

-3.70(77)

-15/4

What is the equation of a circle centered at (1,-4) and a diameter 18?

Answers

Answer:

(x - 1)² + (y + 4)² = 81

Step-by-step explanation:

Circle Formula: (x - h)² + (y - k)² = r²

(h, k) is the center

2r = d

Step 1: Find r

18 = 2r

r = 9

Step 2: Plug known variables into formula

(x - 1)² + (y + 4)² = 9²

Step 3: Evaluate

(x - 1)² + (y + 4)² = 81

Answer:

(x-1)^2 + (y+4)^2 = 81

Step-by-step explanation:

The equation of a circle can be written as

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

The center is ( 1,-4)

and the radius is d/2 = 18/2 = 9

(x-1)^2 + (y- -4)^2 = 9^2

(x-1)^2 + (y+4)^2 = 81

which one is irrational?

Answers

Answer: A, B, D are irrational

Basically everything but choice C

==========================================

Explanation:

sqrt is shorthand for square root

sqrt(4) = 2 = 2/1 showing that sqrt(4) is rational. We can write it as a fraction of two whole numbers, where 0 is not in the denominator.

-------

In contrast, we cannot write sqrt(2), sqrt(3), or sqrt(5) as a fraction of two whole numbers. Using your calculator, note how

sqrt(2) = 1.4142135623731

sqrt(3) = 1.73205080756888

sqrt(5) = 2.23606797749979

all of those decimal expansions go on forever without any pattern, which is a sign that those numbers are irrational. If they were rational, then a pattern would repeat at some point or the decimals would terminate at some point.

Answer:

a, b, d are irrational

Step-by-step explanation:

root 2 = 0.414.....

root 3 = 0.732.....

root 5 = 2.236.....

Hope this helps.....

Pls mark my ans as brainliest

If u mark my ans as brainliest u will get 3 extra points

Select the answer choice that is equivalent to the expression given belon.
9(2x - 3) + 5y + 17
0) O-4% - 10
O 23% - 10
0 0 -4% + 17
0 0 -49% + 17
O 16% + 23

Answers

Answer:

[tex] 23x - 10 [/tex]

Step-by-step explanation:

To the find the equivalent of [tex] 9(2x - 3) + 5x + 17 [/tex], evaluate the expression. Start by opening the bracket.

[tex] 9*2x - 9*3 + 5x + 17 [/tex]

[tex] 18x - 27 + 5x + 17 [/tex]

Pair like terms

[tex] 18x + 5x - 27 + 17 [/tex]

[tex] 23x - 10 [/tex]

The equivalent of [tex] 9(2x - 3) + 5x + 17 [/tex] is [tex] 23x - 10 [/tex]

can somebody please help me on this if you know how to solve it is urgent please don’t waste my answers

Answers

Answer:

  6

Step-by-step explanation:

The angle bisector divides the other segments proportionally. There are many ways the proportion can be written. One is ...

  XN/NY = XA/AY

  XN = NY×XA/AY = 4 × 18/12

  XN = 6

The product of the roots of the equation x2 + x = 2 is: -2

Answers

Step-by-step explanation:

There are answers to this problem based on how we interpret this question.

If the question is x^2 + x =2

=> x = 1

Since, 1^2 + 1 = 2.

Another way to interpret this question is 2x+ x = 2

=> 3x = 2

=> x= 2/3

The answer differs based on how we interpret this question.

Hope this helps you.

Answer:

-2

Step-by-step explanation:

The EASIEST way to do this is using the laws of the sum and products of roots.

When you multiply two roots together, you simply get c/a

So, let's start:

x^2 + x = 2

subtract the 2 to get a quadratic equation equal to 0

x^2 + x -2 =0

Now,

a=1

b=1

c=-2

plug b and a into c/a

-(2/1)= -(2)   =   -2

The answer is -2.

It's NOT 1. the answer would be 1 IF it was adding the roots.

Write in standard 7.125×10^-9

Answers

Answer:

7.125*10⁻⁹ = 0.000000007125

Step-by-step explanation:

7.125*10⁻⁹ = 0.000000007125

the function y = a / x is given Which function will be obtained if the point P (-2,3) belongs to the graph of the given function​

Answers

Answer:

The function is y = -6 / x.

Step-by-step explanation:

Since (-2, 3) belongs to the function, we know that x = -2, y = 3 is a solution to the function so when we plug those values in to solve for a, we get:

3 = a / (-2)

3 * (-2) = a / (-2) * (-2)

-6 = a so the function is y = -6 / x.

For the slope-intercept form of a linear function, the variable m represents the

Answers

Answer:

y=mx+b

y = dependent variable

x = independent variable

m = the slope of the line

b = the y-intercept

This is why they call itI "slope-intercept" because it gives you the SLOPE(m) and the Y-INTERCEPT (b)

Step-by-step explanation:

Answer:

The variable m represents the slope

Step-by-step explanation:

Hey there!

Well slope intercept is,

y = mx + b

The m stands for slope,

b stands for y-intercept

x stands for independent variable

y stands for the dependent variable

Hope this helps :)

Write and solve an equation to determine how many degrees the temperature T fell.
The temperature at 5 PM. is 20°F The temperature at 10 P.M. is -5°F
Equation?

Answers

Answer: First degree equation

Step-by-step explanation:

For each hour from 5pm , the temperature decreases 5F. So, let the variation of time t , the constant -5, and the final temperature, T:

T=5t-5 .: for 5pm , variation is 0,so T in F is -5.

Answer:

probably First degree equation

Step-by-step explanation:

HELP ASAP THANKS!!!!!!!!!!!!!!! Brainliest to right answer!!!

Answers

Answer:

A & C

Step-by-step explanation:

A and C have a value of 1.4142 as does the problem in the question.

The triangle shown below has an area of 4 units
Find the missing side.

Answers

Answer:

[tex]\boxed{4 units}[/tex]

Step-by-step explanation:

Hey there!

Well if the base is 4 and we use the formula,

b*h / 2

4*4 = 16

16/2 = 8

So x is 4.

Hope this helps :)

Answer:

x = 2 units

Step-by-step explanation:

Area of a triangle is given by

base × height

[tex] A = \frac{1}{2} base × height[/tex]

From the question

Area = 4 units²

height = 4 units

let x represent the base

We have

[tex]4 = \frac{1}{2} \times x \times 4[/tex]

4 = 2x

Divide both sides by 2

x = 2 units

Hope this helps you

which one represents translation

Answers

Answer:

The third one

Step-by-step explanation:

Translation is when it moves

Nandini makes 'halwa' one evening and divides it into four equal portions for her family of four. However, just as they are about to eat it, an unexpected guest arrives and Nandini has to now re-divide the halwa into five equal portions. By what percentage has each family member's share reduced due to this? A. 5% B. 10% C. 20% D. 25%

Answers

Answer:

5%

Step-by-step explanation:

Total 'halwa' made = 1

Divided into four equal portion = 1/4

Arrival of an unexpected guest = 1/5

By what percentage has each family member's share been reduced:

Change in the sharing proportion:

Previous share ratio - new sharing ratio

(1/4 - 1/5) = (5 - 4) / 20 = 1/20

That means total reduction in the sharing = 1/ 20

Since each member comes contributed equally:

Reduction in each family member's share ;

(1 / 20) ÷ 4

(1 / 20) * 1/4 = 1/ 80

Percentage reduction:

(Reduction / original share) * 100%

[(1/80) ÷ (1/4)] * 100

(1/80 * 4/1) * 100%

(1/20) * 100%

= 5%

Reduction in each family members share = 5%

Multiply this 6/11* 1/4

Answers

Answer:

0.136

Step-by-step explanation:

Answer:

3/22

Step-by-step explanation:

for decimal dorm it is 0.136

find the interest rate r when p = 800, a = 2700, and t = 3.​

Answers

Answer:

r = 0.5 or 1/2

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)^t

Simply plug in our known variables:

2700 = 800(1 + r)³

Now we solve for r:

Divide both sides by 800

27/8 = (1 + r)³

Take the cube root on both sides

∛27/8 = ∛(1 + r)³

Simplify

3/2 = 1 + r

Subtract 1 on both sides

r = 1/2

r = 0.5

Answer:

For compound interest, 50%.

Step-by-step explanation:

(I'm assuming this question is asking for the compound interest):

The formula for compound interest is given by:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Plug in the values we know. We can use 1 for n:

[tex]2700=800(1+r)^3\\27/8=(1+r)^3\\1+r=\sqrt[3]{27/8}\\r=3/2-1\\r=1/2=.5[/tex]

So, the interest rate is 50%.

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