valor de la pendiente y de la ordenada al origen de y = −2x − 1

Answer:

x=-3

Step-by-step explanation:

55+54 equals 109

180 minus 109 equals 71

-3 plus 74 equals the 71 degrees that you need

Answer:

common difference

d=8-(-1)=8+1=9

or d=17-8=9

or 26-17=9

and so on

The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

Learn more about system of equations click;

https://brainly.com/question/20067450

#SPJ1

If they are complementary angles

5x - 8 + 2x - 0 = 90

5x + 2x = 90 + 8

7x = 98

x = 98/7

x = 14

a) angle 1 = 5(14) - 8

= 70 - 8

= 62°

b) angle 2 = 2(14)

= 28°

Then angle 1 + angle 2 = 90°

62 + 28 = 90

90°

2) Supplementary angles

angle 1 = 6x - 19 angle 2 = 15x - 11

6x - 19 + 15x -11 = 180

6x + 15x = 180 + 19 + 11

21x = 210

x = 210/21

x = 10

angle 1 = 6(10) - 19 angle 2 = 15(10) -11

= 60 - 19 = 150 - 11

= 41° = 139°

41 + 139 = 180

180 = 180

PART A: Linda has $4.41 more than Enrique after one year.

PART B: Enrique has $12.10 more than Linda after the second year.

PART A: After one year, we can calculate the amount of money each person has in their respective accounts.

For Linda's account:

Principal amount = $610

Interest rate = 1.2%

\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)

\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)

For Enrique's account:

Principal amount = $590

Interest rate = 3.9%

\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)

Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91

Comparing the two amounts, after one year Linda has more money.

The difference in the amount is:

$617.32 - $612.91 = $4.41

Therefore, Linda has $4.41 more than Enrique after one year.

PART B: After a second year, we need to calculate the amounts again.

For Linda's account:

Principal amount = $617.32

Interest rate = 1.2%

\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)

Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73

For Enrique's account:

Principal amount = $612.91

Interest rate = 3.9%

\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)

Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83

Comparing the two amounts, after the second year Enrique has more money.

The difference in the amount is:

$636.83 - $624.73 = $12.10

For similar question on Principal amount.

https://brainly.com/question/29430095

#SPJ11

Answer:

\(Cost\ Price = 4331.25\)

Step-by-step explanation:

Given

Selling Price = Sh. 4950

Profit = 12.5%

Required

Determine the cost price

Profit is calculated as:

\(Profit = \frac{Selling\ Price - Cost\ Price}{Selling\ Price} * 100\%\)

Substitute values for Selling Price and Profit

\(12.5\% = \frac{4950 - Cost\ Price}{4950} * 100\%\)

Cross Multiply:

\(4950 * 12.5\% = (4950 - Cost\ Price) 100\%\)

\(\frac{4950 * 12.5\%}{100\%} = (4950 - Cost\ Price)\)

\(618.75 = (4950 - Cost\ Price)\)

Collect Like Terms

\(Cost\ Price = 4950 - 618.75\)

\(Cost\ Price = 4331.25\)

Hence, the cost price of the item is: Sh. 4331.25

Step-by-step explanation:

no . he should have gotten 3 raise to the 9th power

Answer:

9.5833333333 yd³

9 7/12 yd³

Step-by-step explanation:

23 * 27 * 5/12 = 258.75 ft³

1 yd³ = 3ft * 3ft * 3ft

1 yd³ = 27 ft³

258.75 ft³ * 1 yd³/27 ft³ = 9.5833333333 yd³

9.5833333333 yd³

9 7/12 yd³

Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

Given the indices above, the P-value to at least 5 digits of accuracy is given as: 0.0007, indicating that the observed difference between the claim of 69% and the actual is statistically significant.

Under the premise that the null hypothesis is accurate, the p-value in null-hypothesis significance testing is the likelihood of generating test findings at least as severe as the result actually observed.

Note that P- value  = 1-p (z < 3.19)

Given that :

p = 0.69 (That is 69%)

x = 14; and

n = 15

z = (p' - p)/√((p*q)/n)

We state our Hypotheses:

H₀: P = 0.69
H₁: P > 0.69

Our test statistics is given as:

p = 0.69

q = 1-p

= 1 - 0.69

= 0.31

Therefore, p' = x/n = 15/14

= 1.07142857143

\(\approx\) 1.07143

z = (p' - p)/√((p*q)/n)

z = 1.07143 - 0.69/[√(0.69 * 0.31)/15]

= 0.38143/[√(0.2139)/15]

=  0.38143/[√0.01426]

= 0.38143/0.1194152419

z = 3.19414836776

z \(\approx\) 3.19

Note that P-Value is given as:
1-p (z <3.19)

Using the Standard normal table,

P-Value = 1-0.9993

P-value = 0.0007

This means that the observed difference is statistically significant because our p-value is ≤ 0.05.

Learn more about P-value:
https://brainly.com/question/4621112
#SPJ1

Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer:

59.3 °

Step-by-step explanation:

its trigonometry

so you have the

opposite side= 43.5

and the adjacent side = 24.8

if you use SOH CAH TOA you will find that to find y you need to use TOA as tou have the opposite and adjacent.

to find the angle (tan) you need to do tue opposite / adjacent

tan^-1 (43.5/25.8)

= 59.3 to 1 d.p.

you need to use tan^-1 as you are finding the missing angle

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

For more questions on: diameter

https://brainly.com/question/30460318

#SPJ8  

Answer:

Not a function

Step-by-step explanation:

There are two outputs (4 and 6) for one input x. If it were function, y(1) can only be one thing  

Answer:

An explicit representation for the nth term of the sequence:

\(f_n=-\frac{1}{2}\cdot \:4^{n-1}\)

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

\(-\frac{1}{2},\:-2,\:-8,\:-32,...\)

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

\(f_n=f_1\cdot r^{n-1}\)

Determining the common ratios of all the adjacent terms

\(\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4\)

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

\(f_n=f_1\cdot r^{n-1}\)

\(f_n=-\frac{1}{2}\cdot \:4^{n-1}\)

Thus, an explicit representation for the nth term of the sequence:

\(f_n=-\frac{1}{2}\cdot \:4^{n-1}\)

It means, option (B) should be true.

Answer:

the answer is -20 =20

Step-by-step explanation:

the opposite of 20 is -20

Answer:

im going to edit it when i finish the quiz

Step-by-step explanation:

Ok this is the edit and the person above me is wrong  so i think it would be     - ( -20) = 20 or D

Answer:

8(9).894 is the correct answer

Answer:

1

Step-by-step explanation:

(Cot t) (Sin t)/(Cos t)

cot = cos / sin

Replacing cot t with cos t / sin t

cos t/ sin t * (Sin t)/(Cos t)

Canceling the sin t's

cos t / cos t

1

Answer:

Hello,

Step-by-step explanation:

\(mes\ \widehat{C}=180^o-82^o - 52^o=46^o\\\\Using\ law\ of\ sinus:\\\dfrac{AB}{sin(C)}= \dfrac{AC}{sin(B)} \\\\\dfrac{450}{sin(46^o)}= \dfrac{AC}{sin(52^o)} \\\\AC=\dfrac{450*sin(52^o)}{sin(46^o)}= 492.9587..(ft)\approx{493(ft)}\)

The given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\)as we have multiplied 8 in both numerator and denominator.

The given expression is \(g^2/3h\).

Now, to further simplify the expression, we can multiply both numerator and denominator by 8. This gives us:

\((g^2/3h) * (8/8)\)

Simplifying further, we get:

\((8g^2)/(24h)\)

Therefore, the expression equivalent to \(g^2/3h\) is \((8g^2)/(24h)\).

Thus, the given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\) as we have multiplied 8 in both numerator and denominator.

The numerator is the top part of a fraction, which represents the number of equal parts being considered. It is the value that is above the fraction bar and represents the quantity being divided into equal parts.

Learn more about denominator :

https://brainly.com/question/7067665

#SPJ1

The complete question is :

Which expression is equivalent to \(g^2/3h\)?

Click on the correct answer.

(A) \(g^2+5/3h+5\)

(B) \(6g^2/15h\)

(C) \(8g^2/24h\)

Answer: 31,994,015,815

Step-by-step explanation: First, multiply 4,747 by 6,739,839 which equals to 31,994,015,733. Lastly, add 82 to 31,994,015,733 which equals to 31,994,015,815. Hence, the answer to 4,747 x 6,739,839+ 82​ = 31,994,015,815.

Answer:

31994015815

Step-by-step explanation:

If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

Read more on dilation here: https://brainly.com/question/11812796

#SPJ1

give question oh t is so easy

This is the same as writing y = sqrt(4(x+5)) - 1

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

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Answer:

The measuerment of COB is 67 degrees.

Step-by-step explanation:

AOB is a straight line meaning that the measurement of AOB is 180° as straight lines are defined to have measurement of 180°.

Given that the measurement of AOC is 113°. Therefore, the sum of ∠AOC and ∠COB must equal to 180°. Thus:

\(\displaystyle{113^{\circ} + \angle \text{COB} = 180^{\circ}}\\\\\displaystyle{\angle \text{COB} = 180^{\circ}-113^{\circ}}\\\\\displaystyle{\angle \text{COB} = 67^{\circ}}\)

Therefore, the measurement of COB is 67 degrees.

we have to try the answers let try the first given values

when x equal to -1 , y equal to 8

ok then in A it's incorrect because when we give x=-1 y=9 and this is wrong

ok what about B it's wrong too because when we give x=-1 y=2

ok now let's check C when we give x=-1 y=8

and this is correct so the answer is C

you would like to ask what about D its wrong too because 3/2 is not natural number and when we give x=-1 y=-5/2

Answer: 16/77

Step-by-step explanation: Here we're asked to evaluate ab

given that a = 4/7 and b = 4/11.

So we start by plugging in our given

values for a and b into the problem.

If we do this, ab would then be (4/7)(4/11).

When multiplying two fractions together, we multiply across

the numerator and we also multiply across the denominators.

So (4/7)(4/11) is 16/77 which is our final answer.

Answer:

16/77

Step-by-step explanation:

When two numbers are close togtether, you want to multiply them.  Since it is ab, you multiply a and b.  

a= 4/7

b= 4/11

so, 4/7 times 4/11

When you multiply fractions, you multiply the numerators (the top number of a fraction) of the fractions together.  You also multiply the denominators(the bottom number) of the fractions together.

So, let's multiply the numerators first.

4 times 4 equals 16, so that is the new numerator

7 times 11 is 77, so that is the new denominator

Let's combine it into a fraction.  Numerator/denominator= 16/77

Sometimes, you will need to reduce.  Reducing meaning that you divide the fraction by a number so it can't be reduced/divided anymore.  Until a fraction is at it's simplest form.  

Example: 2/4 reduces to 1/2 because both the numerator, 2, and the denominator, 4, can be reduced by 2.  As you can see, 1/2 is at it's simplest form and cannot be reduced any further.