Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) a = (-1,5,7), b = (6, 4, 1) exact approximate

Answer:

$105

Step-by-step explanation:

I used a proportion to solve this:

\(\frac{63}{3} = \frac{x}5}\)

Cross multiply:

3x = 315

Divide both sides by 3

x = 105

Answer:$105

Step-by-step explanation:

Salary for 3 hrs=$63

Salary for 5hrs= salary for one hour×5 hrs,

Salary for one hour= 63/3=$21

Salary for 5 hours= 21×5: $105

Answer:

jj

Step-by-step explanation:

Answer:

interior = 3600° , exterior = 360°

Step-by-step explanation:

use the formula : ( n - 2 ) * 180 ..........where n is the number of sides

here the number of sides is 22

so if fall under the formula:

( 22 - 2 ) * 180

3600° is the total sum of the interior angles.

The exterior angle formula:

360° is the sum of the exterior angles.

Answer:

t=5

Step-by-step explanation:

180-86-34=60

60/12=5

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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Answer:

a. -1/2

b. sq rt 2 / 2

c. -1

d. sq rt 3 / 2

e. -1

f. -pi/6

Step-by-step explanation:

you use the trig values table

Answer:

111.625

Step-by-step explanation:

I think you multiply the amount of money by

.05 ( 5% in decimal form) and that is 5% of 117.50. if you know what 5% of that 117.50 is then you just subtract that from 117.50.

If  number has the digit nine in seven to the nearest 10 the number rounds to 100 then the number is 97.

If rounding the number to the nearest 10 results in 100, it means the original number is between 95 and 105. Also, we know that the number has the digit nine in the tens place, since it rounds up to 100.

To find the number, we can consider the possible values for the units digit. If the units digit is 0, then the number is 90, which does not have a 9 in the tens place.

If the units digit is 1, then the number is 91, which also does not have a 9 in the tens place.

If the units digit is 2, then the number is 92, which also does not have a 9 in the tens place.

If the units digit is 3, then the number is 93, which does not have a 9 in the tens place.

If the units digit is 4, then the number is 94, which does not have a 9 in the tens place.

If the units digit is 5, then the number is 95, which does not have a 9 in the tens place.

If the units digit is 6, then the number is 96, which does not have a 9 in the tens place.

If the units digit is 7, then the number is 97, which does have a 9 in the tens place.

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T determine which store offers the lowest unit rate for onions ($/pound) you have to express calculate the price per pound for each grocery store and then compere the results.

To calculate the price per pound you can use corss multiplication

Farm Fresh

4pounds _____$3.20

1pound____$x

The onions cost $0.80 per pound

Mother nature

1/3pound ____$1/4

1pound____$x

The onions cost $1.33 per pound

Hobson's

2pounds_____$1.70

1pound____$x

The onions cost $0.82 per pound

Veggie Delight

$0.70 per pound

Answer:

c

Step-by-step explanation:

The sum of the series converges to 7 / (1 + 2z), and the domain for which it converges is -1/2 < z < 1/2.

To find the sum of the given geometric series\(7−14z+28z^2−56z^3+\)⋯, we need to first identify the first term (a) and the common ratio (r).
Step 1: Identify the first term (a)
The first term is 7.
Step 2: Identify the common ratio (r)
Observe the series and find the ratio between consecutive terms:
-14z / 7 = -2z
\(28z^2 / -14z = -2z\)
\(-56z^3 / 28z^2 = -2z\)
The common ratio is -2z.
Step 3: Determine the convergence of the series
A geometric series converges when the absolute value of the common ratio (|r|) is less than 1:
| -2z | < 1
To solve for the domain of z, we need to find the values for which this inequality holds:
-1 < -2z < 1
Divide all parts of the inequality by -2, and remember to reverse the inequality signs when dividing by a negative number:
1/2 > z > -1/2
Step 4: Find the sum of the converging series
For a converging geometric series, the sum can be calculated using the formula:
sum = a / (1 - r)
Plug in the values of a and r:
sum = 7 / (1 - (-2z))

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Answer: yes

Step-by-step explanation:

12    3

4     1

to get to 3 from 12 you divide by 4 and to get from 4 to 1 you also divided by 4

The three computations covered by the reliability factor table are sample size, index of reliability, and index of precision. Sample size deals with the size of the sample being used in order to achieve a desirable level of reliability.

Index of reliability is used to measure the consistency of results achieved over multiple trials. It does this by calculating the total number of items that contribute significantly to the final result. Finally, the index of precision measures the effect size of the sample, which is determined by comparing the results from the sample with the expected results.

The sample size computation gives the researcher an idea of the number of items that should be included in a sample in order to get the most reliable results. This is done by taking into account a number of factors including the variability of the population, the type of measurements used, and the desired level of accuracy.

The index of reliability is commonly calculated by finding the ratio of the number of items contributing significantly to the total result to the total number of items in the sample. This ratio is then multiplied by 100 in order to get a final score.

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\(\sqrt[3]{125x^{10}y^{13} } +\sqrt[3]{27x^{10}y^{13} }\)=\(5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} } = 8\sqrt[3]{x^{10}y^{13} }\)

\(\sqrt[3]{125x^{10}y^{13} } +\sqrt[3]{27x^{10}y^{13} }\)

Therefore,

125 = 5³

27 = 3³

Hence,

\(5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} }\)

Hence,

Both cube root are the same now,

Therefore, we have to add them together.

\(5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} } = 8\sqrt[3]{x^{10}y^{13} }\)

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Answer:

D) y= -2X+1

Step-by-step explanation:

All of the lines are perpendicular to the line 2x+y=6 except for D) y= -2X+1.

Answer:

14 is the answer

Step-by-step explanation:

hope it helps

Answer:

When we have a=2, we can replace 2 instead of a in the expression.

⇒a²+8a-6

Replacing a with 2

⇒(2)²+8(2)-6

As 2² is 2×2=4 and8×2=16 we get

4+16-6

⇒20-6

⇒14

Thus,14 is the final answer when a=2

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

x = -4 - 4√2/6 and x = -4 + 4√2/6.

Hi there! The equation 3x5/3 + 96 = 0 can be rewritten as x5 + 32 = 0. In order to solve for the real solutions of this equation, we can use the Quadratic Formula, which states that for the equation ax2 + bx + c = 0, the real solutions are given by x = (-b ± √b2 - 4ac)/2a. Substituting the values for a, b, and c, we get x = (-32 ± √322 - 4*3*0)/6, which simplifies to x = (-32 ± √1024)/6, or x = -4 ± 4√2/6. Therefore, the real solutions for the equation are x = -4 - 4√2/6 and x = -4 + 4√2/6.

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Answer:

56

Step-by-step explanation:

56 would be the arc. reasoning is because line CG form an arch of 56 and Angle A and C also form a angle of 34

The requried simplified value of x in the given expression is given as x = 128/27.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x ÷ 2/3= 7 1/9

Simplifying the above expression,
x = (7×9 +1 / 9) × 2/3
x = 64/9 × 2/3
x = 128/27

Thus, the requried simplified value of x in the given expression is given as x = 128/27.

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Answer:

La altura del globo con respecto al suelo es 449,6 metros.

Step-by-step explanation:

La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?

El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:

Ciudad A

\(\tan 27^{\circ} = \frac{h}{1500\,m-x}\)

\(0,510 = \frac{h}{1500\,m-x}\)

Ciudad B

\(\tan 36^{\circ} = \frac{h}{x}\)

\(0,727 = \frac{h}{x}\)

Donde \(h\) y \(x\) son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.

A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:

\(0,727\cdot x = 0,510\cdot (1500\,m-x)\)

\(1,237\cdot x = 765\,m\)

\(x = 618,432\,m\)

Finalmente, la altura del globo con respecto al suelo es:

\(h = 0,727\cdot x\)

\(h = 0,727\cdot (618,432\,m)\)

\(h = 449,600\,m\)

La altura del globo con respecto al suelo es 449,6 metros.

Answer:

A

Explanation:

QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.

EQUATION:- 2x - 3y + 36 = 0

STANDARD EQUATION:- y=mx+c

where

SO GIVEN EQUATION:- 2x - 3y + 36 = 0

WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

\(2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y = \frac{2}{3} x + \frac{36}{3} \\ y = \frac{2}{3} x + \frac{ \cancel{36}^{ \: \: 12} }{ \cancel3} \\ y = \frac{2}{3} x + 12 \\ \)

SO :-

\(m = \frac{2}{3} \\ y - intercept = 12 \: ans\)

\(slope = \frac{y2 - y1}{x2 - x1} \\ \frac{2}{3} = \frac{0 - 12}{x - 0} \\ 2x = ( - 12) \times 3 \\ x = \frac{ - \cancel{12}^{ \: \: 6} \times 3 }{ \cancel{2}} \\ x = - 18 \: \: ans\)

Answer:

no

Step-by-step explanation:

right awnser

Answer:

Hi! The answer to your question is 100

Step-by-step explanation:

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Answer:

100

Step-by-step explanation:

.15x = 15

x = 15/.15

x = 100

Answer:

Width= 30

Length= 62.5

Step-by-step explanation:

First we simplify the length to width ratio

25/12=

2 1/12 ratio of length to width

width=x

length=2 1/12x

Make the equation for this ratio's perimeter being equal to 185

2(2 1/12x) + 2(x)=185

Solve for x

4 1/6x +2x=185

6 1/6x=185

x=30

Substitute the answer in for x to find the length and width

Width= 30

Length= 2 1/12(30)

Length= 62.5

Answer: Let the side length of the square rug be x, and the dimensions of the rectangular rug be l and w.

In the first arrangement, the three rugs are arranged side by side, with the rectangular rugs aligned vertically and the square rug aligned horizontally. The length of this arrangement is l + 2x, and the width is w. We know that the length is 3 times the width, so we can write:

l + 2x = 3w

In the second arrangement, the two rectangular rugs are arranged side by side, with the square rug placed on top. The length of this arrangement is l, and the width is w + x. We know that the length is twice the width, so we can write:

l = 2(w + x)

We now have two equations with two unknowns, l and w:

l + 2x = 3w

l = 2(w + x)

Substituting the second equation into the first, we get:

2(w + x) + 2x = 3w

4x = w

Substituting this value of w into the second equation, we get:

l = 2(4x) = 8x

So the dimensions of the rectangular rug are 4x by x, and the dimensions of the square rug are x by x.

To find the value of x, we use the measurements given in the diagram:

l + 2x = 60

l = 36

Substituting into the equation l = 2(w + x), we get:

36 = 2(4x + x)

36 = 10x

x = 3.6

So the side length of the square rug is 3.6 feet.

Step-by-step explanation:

a) The selection probability you would assign to each of the package designs is equals to the 0.20.

b) No

c) The probability for assign to each package design ( selecting 1 to 5 packages) are 0.05, 0.15,0.30,0.40,0.10 respectively. Package 4 is the highest probability of selection by a customer.

We have a company that manufactures tooth paste is studying five different package designs.

a) We assume that one design is just as likely to be selected by a consumer as any other design so the selection probability you would assign to each of the package designs for all is same = 1/5 = 0.20

b) No, the data confirm does not belief that one design is just as likely to be selected as another.

c) However, according to the actual experiment total number of consumers

= 100

P(package 1 is selected ) = 5/100 = 1/20

= 0.05

P(package 2 is selected ) = 15/100 = 0.15

P(package 3 is selected ) = 30/100 = 0.30

P(package 4 is selected ) = 40/100 = 0.40

P(package 5 is selected ) = 10/100 = 0.10

clearly, we see that all the probabilities differ from one another according to the actual experiment of 100 samples. So, the data does not confirm the belief that one design is just as likely to be selected by a consumer as any other design. Hence, package 4 has highest probability of selection.

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Complete question:

a company that manufactures toothpaste is studying five different package designs.

a) assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs (to 2 decimals)?

b) In an actual experiment, 100 consumers were asked to pick the design they preferred. the following data were obtained. number of design times preferred 1 5 2 15 3 30 4 40 5 10

do the data confirm the belief that one design is just as likely to be selected as another? select

c) based on the actual experiment, what probability would you assign to each package design (to 2 decimals)? design probability 1 2 3 4 5 which package design has the highest probability of selection by a customer? select

Answer:

The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

the slope of a virtual lin.e is change in Y / change in X