are these ratios equivalent 35 forks to 45 7 forks to 9 spoons yes or no

Answer:

\(36-b ^ { 2 } -c ^ { 2 } +2bc\\36-\left(b^{2}+c^{2}-2bc\right) \\6^{2}-\left(b-c\right)^{2} \\\boxed{\left(6-b+c\right)\left(6+b-c\right) }\)

Hope it helps ⚜

Answer:

y = 2x - 13

Step-by-step explanation:

Equation of a line is y = mx + c, m is the gradient and c is the intercept

The line passes through points 4 and -5, x is 4 and y is -5

-5 = 4m + c

When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1

x + 2y = 5

2y = -x + 5

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

therefore m = -1/2

m1 * m2 = -1

m * -1/2 = -1

-m = -2 , therefore m = 2

-5 = 4 * 2 + c

c = -5 - 8, which is -13

Therefore the equation for the line is

y = 2x - 13

Answer:

\( {f}^{ - 1} (x) = 2x - 8\)

\( {f}^{ - 1} (4) = 0\)

Step-by-step explanation:

\( y = \frac{1}{2} x + 4 = = = > \\y - 4 = \frac{1}{2} x = = = > \\ 2y - 8 = x = = > {f}^{ - 1} (x) = 2x - 8\)

\( \frac{1}{2} x + 4 = 4 = = = > \\ \frac{1}{2} x = 0 = = = > x = 0\)

Answer:

h< 0 and k > 0

Step-by-step explanation:

Quadrant 2 is when x< 0 and y > 0

For the center to be in quadrant 2

h< 0 and k > 0

The maximum and minimum roasting temperatures for cocoa beans will be 325°F and 275°F.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

To make cocoa powder, cocoa beans are roasted. The ideal temperature for roasting is 300 Fahrenheit, plus or minus 25 Fahrenheit. Then the expression is given mathematically as,

⇒ 300°F ± 35°F

For the maximum temperature, take a positive sign. Then we have

⇒ 300°F + 35°F

⇒ 325°F

For the minimum temperature, take a negative sign. Then we have

⇒ 300°F - 35°F

⇒ 275°F

The maximum and minimum roasting temperatures for cocoa beans will be 325°F and 275°F.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

2 is really answer it is this question bro than ka for good point

Step-by-step explanation:

hello shreekant thanks 886A bubs 2 is answr

The integral can be evaluated by substituting everything you know:

\(\displaystyle\int_C\mathbf F\cdot\mathrm d\mathbf r=\int_C\mathbf F(x(t),y(t),z(t))\cdot\dfrac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt\)

\(=\displaystyle\int_0^1(t^3\,\mathbf i+t^5\,\mathbf j+t^4\,\mathbf k)\cdot(\mathbf i+2t\,\mathbf j+3t^2\,\mathbf k)\,\mathrm dt\)

\(=\displaystyle\int_0^1(t^3+5t^6)\,\mathrm dt\)

\(=\dfrac{t^4}4+\dfrac{5t^7}7\bigg|_0^1=\dfrac14+\dfrac57=\boxed{\dfrac{27}{28}}\)

The line integral ∫F · dr along the curve is 9/10.

To evaluate the line integral ∫F · dr along the curve C, where F(x, y, z) = xyi + yzj + zxk and C is the twisted cubic given by x = t, y = t², z = t³ for 0 ≤ t ≤ 1, we need to parameterize the curve C and compute the dot product between F and the tangent vector dr.

The parameterization of C is:

r(t) = ti + t²j + t³k

To compute dr, we take the derivative of r(t) with respect to t:

dr = (dx/dt)i + (dy/dt)j + (dz/dt)k

dr = i + 2tj + 3t²k

Now we can compute the dot product between F and dr:

F · dr = (xy)(dx/dt) + (yz)(dy/dt) + (zx)(dz/dt)

F · dr = (t)(i) + (t²)(2t)(j) + (t)(t³)(3t²)(k)

F · dr = ti + 2t³j + 3t⁴k

To evaluate the line integral, we integrate F · dr with respect to t over the interval [0, 1]:

∫[0,1] F · dr = ∫[0,1] (ti + 2t³j + 3t⁴k) dt

Integrating each component separately:

∫[0,1] ti dt = (1/2)t² ∣[0,1] = (1/2)(1)² - (1/2)(0)² = 1/2

∫[0,1] 2t³j dt = (1/4)t⁴ ∣[0,1] = (1/4)(1)⁴ - (1/4)(0)⁴ = 1/4

∫[0,1] 3t⁴k dt = (1/5)t⁵ ∣[0,1] = (1/5)(1)⁵ - (1/5)(0)⁵ = 1/5

Adding the results together:

∫[0,1] F · dr = (1/2) + (1/4) + (1/5) = 5/10 + 2/10 + 2/10 = 9/10

Learn more about line integral here:

brainly.com/question/29850528

#SPJ2

Answer:

0.0597in/s

Step-by-step explanation:

The volume of the spherical balloon V= 4/3πr³

r is the radius of the balloon

The rate at which the volume is changing dV/dt is expressed as;\

dV/dt = dV/dr*dr/dt

dV/dr = 3(4/3πr²)

dV/dr = 4πr²

dV/dr = 4π(2)²

dV/dr = 16π

dV/dt = 3 in³/s

Substitute inti the formula

3 = 16πdr/dt

dr/dt = 3/16π

dr/dt = 3/50.24

dr/dt = 0.0597in/s

Hence the balloon is increasing at the rate of 0.0597in/s

Answer:

b. -1/2

Step-by-step explanation:

the slope is negative so we can get choices a and c out. and you go down 1 over 2

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

To solve more problems based on the linear equations:

https://brainly.com/question/9753782

Answer:

will you help me with grade 9 math, algebra 2 please

Step-by-step explanation:

Answer:

Step-by-step explanation:

Imagine line BF parallel  to both AB and CD

Then

Answer:

Step-by-step explanation:

∠EAB = 73

∠BCD = 52    

          125

∠ABC = 360 - 125

          = 235°

Answer:

113° = y

Step-by-step explanation:

y = 180 - 67

y = 113°

Hope this helps!

Answer:

40/169

Step-by-step explanation:

The linear function graphed is defined as follows:

y = 3x/2 - 3.

(third option).

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = -3.

When x increases by 2, y increases by 3, hence the slope m is given as follows:

m = 3/2.

Then the function is defined as follows:

y = 3x/2 - 3.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The graph of the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

Is in the image at the end.

Here we have the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.

Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.

Learn more about system of inequalities at.

https://brainly.com/question/9774970

#SPJ1

Answer:

25 is the correct answer

Answer:

11g+15-4g+5

11g-4g+15+5

15g+20

I think it's the answer because there is no

equals to ( = )

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

Learn more about system of equation on:

https://brainly.com/question/12526075

Answer:

B. m

Step-by-step explanation:

Hey there!

A variable is an unknown quantity in an equation or problem.

For example, the problem 3x=15

We want to find out what times 3 will give us 15. x is our unknown quantity.

Hope this helps you! Feel free to comment any questions you may have for me!

Answer:

m because it can be changed

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

a) To calculate the amount of the loan, we need to use the formula for simple interest:

I = Prt

Where I is the interest, P is the principal (the amount of the loan), r is the interest rate, and t is the time in years.

Since the loan was for 11 months, or 11/12 of a year, we can calculate the principal as:

P = I / (rt) = 5555 / (0.065 x 11/12) = RM75,000

Therefore, the amount of the loan was RM75,000.

b) To calculate the amount of interest charged, we can use the same formula and plug in the values we know:

I = Prt = 75,000 x 0.065 x 11/12 = RM4,354.17

Therefore, the amount of interest charged was RM4,354.17.

To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:

Total number of months = 8 years x 12 months/year = 96 months

Next, we can calculate the interest for half a month:

Interest = Principal x Rate x Time

Where:

- Principal = $90,900.00

- Rate = 8.25% (annual interest rate)

- Time = 0.5/12 years (half a month, expressed in years)

Rate needs to be converted to a monthly rate, so we divide it by 12:

Rate = 8.25% / 12 = 0.6875% (monthly interest rate)

Time needs to be expressed in years, so we divide it by 12:

Time = 0.5/12 years

Now we can calculate the interest:

Interest = $90,900.00 x 0.006875 x 0.0416667

Interest = $25.08 (rounded to the nearest cent)

Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.

Answer:

The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64

Step-by-step explanation:

Make a plan:

Draw the conclusion:

Hope this helps!

Answer:

More than likely no full answer key however there might be answers for each individual question.

Answer:

I think the answer is D  

Step-by-step explanation:

Answer:

F F → F

Step-by-step explanation:

The statement is given as:

A triangle has four sides, and a rectangle has three sides.

It is again a false statement since a triangle is a polygon with three sides and a rectangle is a polygon with four sides.

Hence, the answer is:

                F  F → F

Answer:

2 scoops of fruity powder:6 cups of water will not test the same as Amar's recipe

Step-by-step explanation:

Ratios

The proportion or ratios between variables measure the relative quantities of them by doing a division, usually expressed as fractions or a colon-separated pair of numbers.

To make fruit punch, Amar mixes 1 scoop of fruity powder with 5 cups of water. The ratio of fruity powder to water is 1:5.

We must select which recipe from the list won't produce the same ration and therefore will not taste the same as Amar's:

2 scoops of fruity powder:6 cups of water gives a ratio of 2:6. Simplifying by 2, the ratio is 1:3. This recipe will not test the same as Amar's.

2 scoops of fruity powder:10 cups of water gives a ratio of 2:10. Simplifying by 5, the ratio is 1:5. This recipe will test the same as Amar's.

0.5 scoop of fruity powder:2.5 cups of water gives a ratio of 0.5:2.5. Multiplying by 2, the ratio is 1:5. This recipe will test the same as Amar's.

5 scoops of fruity powder:25 cups of water gives a ratio of 5:25. Dividing by 5, the ratio is 1:5. This recipe will test the same as Amar's.

Answer:

2 scoops of fruity powder:6 cups of water will not test the same as Amar's recipe

Answer:

The answer of 2 x 3 would be 6

Step-by-step explanation:

The reason why 2 x 3 or 2 times 3 would be six/6. Is because if you had 2 pairs of 3 items, you would get a total of 6 items. And if you had 3 pairs of 2 items, you would still have a total of 6 items.