The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + z2 + z – 24.

Answer:

  sin(θ) = (2/5)√6

Step-by-step explanation:

The sine and cosine are related by the formula ...

  [tex]\sin{(\theta)}^2+\cos{(\theta)}^2=1\\\\\sin{(\theta)}=\pm\sqrt{1-\cos{(\theta)}^2}[/tex]

Filling in the given value for cos(θ), we find the sine to be ...

  [tex]\sin{(\theta)}=\pm\sqrt{1-\left(\dfrac{1}{5}\right)^2}=\pm\dfrac{\sqrt{24}}{5}=\pm\dfrac{2}{5}\sqrt{6}[/tex]

__

The cosine function is positive for angles in both the first and fourth quadrants. The restriction on θ tells us this is a first-quadrant angle. The sine is positive in the first quadrant, so the desired value is ...

  sin(θ) = (2/5)√6

Answer:

$26532.98

Step-by-step explanation:

Given:

Sum is:

Answer: 189.41

Step-by-step explanation: Let’s take the number as n and if nx(100-15)/100=161 then 85n/100=161 and therefore n= 181.4117

I don’t know why the answer is in decimal as mostly it won’t be. Maybe you have made a mistake with the question so pls do check the question too!

Answer:

5/3

Step-by-step explanation:

5×(10×1/3)

=10×5/3

=since 5×(10×1/3) gives 50/3 so thus 10×5/3.

The fraction is therefore 5/3

Answer:

Cada uno de ellos gana:

S/. 24

S/. 36

Step-by-step explanation:

Planteamiento:

a + b = 60

a = 12 + b

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

(12+b) + b = 60

2b + 12 = 60

2b = 60 - 12

2b = 48

b = 48/2

b = 24

de la segunda ecuación del planteamiento:

a = 12 + b

a = 12 + 24

a = 36

Check:

24 + 36 = 60

Answer:

[tex] y = x + 4 [/tex]

Step-by-step explanation:

Use the two-point form of the equation of a line.

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

[tex] y - 4 = \dfrac{16 - 4}{12 - 0}(x - 0) [/tex]

[tex] y - 4 = \dfrac{12}{12}x [/tex]

[tex] y - 4 = x [/tex]

[tex] y = x + 4 [/tex]

Answer:

y = x + 4

Step-by-step explanation:

An equation for a line looks like:

=> y = mx +b

=> In this equation "m" is the slope.

=> "b" is the y-intercept.

To find the slope:

=> y/x - y1/x1

=> 16/12 - 4/0

=> 16 -4 / 12 - 0

=> 12 / 12

=> 1

So, the slope is 1.

Now our equation looks like:

y = 1x + b

=> y = x + b

Let's take some the values of "x" and "y"  of (0,4)

So, our now look like:

=> 4 = 1 (0) + b

=> 4 = b

So, b (y-intercept) = 4

Now, our final equation is:

=> y = x + 4

Answer: B) different y intercepts; same end behavior

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

Explanation:

The graph shows the y intercept is 4 as this is where the green curve crosses the vertical y axis.

The y intercept of g(x) is 6 which can be found by plugging x = 0 into the g(x) function

g(x) = 4(1/4)^x + 2

g(0) = 4(1/4)^0 + 2

g(0) = 6

So we can see the y intercepts are different.

----------

However, the end behaviors are the same for each function. The left side of f(x) goes up forever to positive infinity. The same is true for g(x). You could use a graphing calculator or a table to see this. As x heads to negative infinity, y goes to positive infinity.

In terms of symbols, [tex]x \to -\infty, y \to \infty[/tex]

----------

For the right side of f(x), it slowly approaches the horizontal asymptote y = 2. It never actually reaches this y value. The same happens with g(x). The portion 4(1/4)^x gets smaller but never gets to 0 so overall 4(1/4)^x+2 gets closer to 2. We can say that as x approaches infinity, y approaches 2.

In terms of symbols, [tex]x \to \infty, y \to 2[/tex]

Answer:

Jim's claim is correct

Step-by-step explanation:

Total survey=100 people

Morning exercise=35 people

Afternoon exercise=45 people

Night exercise=20 people

Morning exercise : Total survey

=35 : 100

Afternoon exercise : Total survey

=45 : 100

Night exercise : Total survey

=20 : 100

Jim's claim is correct because in finding the ratio, one has to relate it with the total people involved in the survey.

Tara's claim however seems to relate one variable with two other variables

Example:

35 : 55

Morning exercise : (morning exercise + night exercise)

35 : (35+20)

35 : 55

Answer:

Sample Response: Jim is correct because 35:100, 45:100, and 20:100 are part-to-whole comparisons. There are other possible part-to-part ratios from the data.

Answer:

The carpenter used 2 7/4 feet of plank for the shelf

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4 feet

Step=3 2/3 feet

Shelf=x feet

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

Change the fractions

21/2 = 17/4 + 11/3 + x

Add 17/4 + 11/3

21/2 =51+44/12 + x

21/2= 95/12 + x

Collect like terms

21/2 - 95/12 =x

126-95/12 = x

31/12=x

2 7/12 =x

Therefore, the carpenter used 2 7/4 feet of plank for the shelf

Answer:

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4

Step=3 2/3

Shelf=x

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

Answer:

A

Step-by-step explanation:

Answer:

72°

Step-by-step explanation:

From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:

m < D = ½(ABC) = ½(AB + BC)

Thus,

[tex] 56 = \frac{1}{2}(AB + 40) [/tex]

Solve for AB

[tex] 56 = \frac{AB + 40}{2} [/tex]

Multiply both sides by 2

[tex] 56*2 = \frac{AB + 40}{2}*2 [/tex]

[tex] 112 = AB + 40 [/tex]

Subtract both sides by 40

[tex] 112 - 40 = AB + 40 - 40 [/tex]

[tex] 72 = AB [/tex]

Arc AB = 72°

The equation that could best represent the line of best fit for the given data is; y = 0.625x

The formula for the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept which is the point where the line intersects the y-axis

Now, in this question, we see that the line intersects the y-axis at 0. Thus;

y-intercept; c = 0

Now, let us find the slope from the formula;

m = (y₂ - y₁)/(x₂ - x₁)

Using the first and penultimate coordinate which are;

(0, 0) and (8, 5), we have;

m = (5 - 0)/(8 - 0)

m = 0.625

Thus, the equation is;

y = 0.625x

Read more about Scatter plot equation at; https://brainly.com/question/6592115

#SPJ1

Answer:

y=0.625x

Step-by-step explanation:

plato

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

Explanation:

Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y

y = measure of arc CDF

Adding the three arcs forms a full circle of 360 degrees

(arc CBH)+(arc FGH)+(arc CDF) = 360

170+64+y = 360

y+234 = 360

y = 360-234

y = 126

arc CDF = 126 degrees

Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.

inscribed angle = (arc measure)/2

x = (arc CDF)/2

x = 126/2

x = 63

Answer:

rewrite the fromula 126

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

d is the variable for distance

√(0−8)2+(−3−3)2=

√(−8)2+(−6)2=

√64+36=

√100=

10

Answer:

10

Step-by-step explanation:

Answer:

When two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°

Step-by-step explanation:

Based on the Inscribed Angles Theorem, the measure of an intercepted arc is twice the measure of the inscribed angle that intercepts it in a circle.

Consequently, the theorem also Holds that the measure of two inscribed angles intercepting the same arc, are congruent. In other words, both angles together are the same, and their sum would give you the measure of the arc they both intercept.

In the diagram shown in the attachment below, we have 2 inscribed angles, angle A and B. They both intercept the same arc of 75°.

Therefore, we can conclude that the measure of both angles equal 75°, which is the same as the measure of the arc they intercept.

Angle A = Angle B

m<A + m<B = measure of intercepted arc = 75°

Answer:

0.0276

Step-by-step explanation:

The computation of the probability that the next driver is texting while driving is shown below:

= Fourth pull failure × fifth pull success

where,

Fourth pull failure is (1 - 0.52)^4

And, the fifth pull success is 0.52

Now placing these values to the above formula

So,

= (1 - 0.52)^4 × 0.52

= 0.0276

Hence, the probability is 0.0276

if an ordered pair is a solution, it should satisfy the equation.

see the first option

[tex]y=3x[/tex] , if you put $x=4$ and $y=12$

you'll get $12=12$ which is true.

now the last option, $y=8-x$ put $x=4$ and $y=12$

$12=8-4\implies 12\ne4$ thus it is not a solution.

So option 4 is correct

Answer:

Last one:

Step-by-step explanation:

y = 8 - x

12 = 8 - 4

12 = 4 (impossible)

Answer:

360%

Step-by-step explanation:

You have to multiply 3.6 by one hundred to get the percentage. When you multiply decimals by numbers that are multiples of ten, you move the decimal place to the right of the number by the number of zeroes that is in your number. Sorry if its confusing.

Examples: 3.76 * 100 = 376. You move the decimal to the right two spaces

46.263 * 1000 = 46263. You move the decimal to the right three spaces. Hope you understand.

Answer:

7 m

Step-by-step explanation:

Use the pythagorean theorem.

a^2+b^2=c^2

7.5 is your hypotenuse and 3 is one of your legs.

7.5^2 - 3^2 = 47.25

the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.

Answer:

The correct option is;

a. Accountant

Step-by-step explanation:

The given data are;

Career,                                                                   Average Salary

Veterinarian,                                                          $56,000

Personal trainer,                                                    $18,000

Accountant,                                                           $43,000

Paralegal,                                                              $34,000

Architect,                                                               $50,000

Photographer,                                                       $19,000

Pharmacist,                                                            $44,000

Secretary,                                                              $30,000

Surveyor,                                                               $36,000

Webmaster,                                                           $49,000

Among the options given, which are, accountant (salary, $43,000), paralegal (salary, $34,000), photographer (salary, $19,000), and surveyor (salary, $36,000), the accountant, with a salary of $43,000, requires the most education.

Answer:

P = 27.2c-7.2d

Step-by-step explanation:

It is given that,

The width of a rectangle is (8.3c-8.4d)

The length of a rectangle is (5.3c+4.8d)

The perimeter of a rectangle is equal to the sum of its all sides i.e.

P = 2(l+b)

P = 2(8.3c-8.4d+5.3c+4.8d)

P = 2[(8.3c+5.3c)+(4.8d-8.4d)]

P = 2(13.6c-3.6d)

⇒P = 27.2c-7.2d

Hence, the expression that represents the perimeter of the rectangle is 27.2c-7.2d.

Answer:

x=2

Step-by-step explanation:

3(x+2) = 12

Divide by 3

3/3(x+2) = 12/3

x+2 = 4

Subtract 2 from each side

x+2-2 = 4-2

x =2

Answer:

The value of x is equal to 2.

Step-by-step explanation:

3(x + 2) = 12

Distribute 3 to (x + 2)

3x + 6 = 12

Subtract 6 from both sides of the equation.

3x = 6

Divide 3 on both sides of the equation.

x = 2

The value of x is 2

Answer:

Graph D

Step-by-step explanation:

(h)t = -16t^2 + 80

At time t = 0 the screwdriver is at 0+80 =80 ft

As time increases the height will decrease so we can eliminate graph B

We know this is a downward parabola by the - in front of the t^2 so we can eliminate graph A

We need to find where it meets the x axis

0 = -16t^2 + 80

-80 = -16t^2

5 = t^2

t = sqrt(5)

t =2.23

This is Graph D

Answer:

B

Step-by-step explanation:

since the graph shows dotted line the sign has to be < or > so C and D eliminated from your answer

y>2/3 x +1 is your answer (B)

Answer:

Option B is the correct option.

Step-by-step explanation:

point ₁ ( - 3 , - 1 ) x₁ = - 3 , y₂ = - 1

point ₂ ( 3 , 3 ). x₂ = 3 , y₂= 3

Now, let's find the slope:

Slope ( m ) = [tex] = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] = \frac{3 - ( - 1)}{3 - ( - 3)} [/tex]

[tex] = \frac{3 + 1}{3 + 3} [/tex]

[tex] = \frac{4}{6} [/tex]

[tex] = \frac{2}{3} [/tex]

At ( 3 , - 1 )

y = mx + c , where m is the gradient / slope amd c is called the intercept on y-axis

[tex] - 1 = \frac{2}{3} \times ( - 3) + c[/tex]

Solve for c

[tex] - 1 + 2 = c[/tex]

[tex]c = 1[/tex]

Since, The red line is dotted line. Therefore it does not include the equal to part. And the shaded region is upper part. Hence, ' > ' should be used.

The answer would be:

[tex]y > \frac{2}{3} x + 1[/tex]

Hope I helped!

Best regards!

Answer:

x=33

Step-by-step explanation:

x for ?

sinx=opposite/hypotenuse

sinx=162.5/298=0.54530201

convert to degrees using arcsin(0.54530201)= 33.043

33 degrees rounded to the nearest ones

Answer:

C. The charge of each minute of a call is $0.40

Step-by-step explanation:

We look at the point (1, 0.4)

We know that our x = 1 is 1 minute of the call.

We know that y = 0.4 is the cost when 1 minute of the call has elapsed.

Therefore, our answer is C.

Answer:

Step-by-step explanation:

The answer is (c)

The price goes up $0.40 every minute Greg is on a call.

Answer:

40°

Step-by-step explanation:

The circumference of a circle is equal to 360°

The arc AB is 180°, the arc AC is given as 100° so the arc CB is 80° and since <A is an inscribed angle it is equal to the half of the arc it sees

80 ÷ 2 = 40

Answer:

2.75 cups of sugar

Step-by-step explanation:

Hello!

To find the total amount of sugar Dante needs we need to add the amount need for each recipe

Cookie recipe needs 1.5 cups

Brownie recipe needs 1.25 cups

1.5 + 1.25 = 2.75 cups of sugar

The answer is 2.75 cups of sugar

Hope this helps!

Answer:

the answer is 1.5+1.25=1.75

Step-by-step explanation:

i just added them together

your welcome ( it also depends on how many times he uses the recipes)

Answer:

a) ¿cuanto dinero aporto el tercer amigo?

= $ 8,000

b) ¿Cual de los tres hizo el mayor aporte?

El segundo amigo hizo la mayor contribución.

c)¿cuanto mas puso en relación con que el que aporto menos?

El tercer amigo hizo la menor contribución

Step-by-step explanation:

De la pregunta, se nos dice:

Dinero total requerido: $ 72,000

El primer amigo contribuyó: 1/3 si el dinero era necesario

Por lo tanto, el primer amigo contribuyó:

1/3 × $ 72 000 = $ 24 000

El segundo amigo contribuyó con 5/6 del resto

La fracción que representa el resto = 1 - 1/3 = 2/3

Por lo tanto, el segundo amigo contribuyó = 5/6 de 2/3 = 5/6 × 2/3 = 5/9

La fracción de la cantidad de dinero que contribuyó el segundo amigo = 5/9

Por lo tanto, la cantidad que contribuyó el segundo amigo =

5/9 × $ 72 000 = $ 40 000.

a) ¿cuanto dinero aporto el tercer amigo?

Esto se calcula como:

$ 72,000 - ($ 24,000 + $ 40,000)

$ 72 000 - $ 64 000

= $ 8,000

Por lo tanto, el tercer amigo aportó $ 8,000.

b) ¿Cual de los tres hizo el mayor aporte?

Del cálculo anterior:

El primer amigo = $ 24,000

Segundo amigo = $ 40,000

Tercer amigo = $ 8,000

Por tanto, el segundo amigo hizo la mayor contribución.

c) ¿cuanto mas puso en relación con que el que aporto menos?

Del cálculo anterior:

El primer amigo = $ 24,000

Segundo amigo = $ 40,000

Tercer amigo = $ 8,000

Por lo tanto, el tercer amigo hizo la menor contribución.

Step-by-step explanation:

Let the rate of the plane be x

The rate of the wind be y

Against the wind

Resultant velocity = x-y

1650/3 = x - y

550 = x - y

With the wind

Resultant velocity = x + y

3480/4 = x + y

870 = x + y

Solve equation simultaneously

Add both equations

870+550 = x+y+x-y

1420 = 2x

x = 710

x + y = 870

y=870 - 710

y = 160

The rate of jet in still air = 710 mph

The rate of wind = 160 mph

HOPE IT HELPS!

PRETTY PLEASE MARK ME BRAINLIEST :-)