Which net below represents the given figure?
Ο Α.
O B.

Answer:

The range of the curve is [tex][-9,9][/tex].

Step-by-step explanation:

The domain of the curve corresponds to the values on horizontal axis (x-Axis), where the range of curve corresponds to the values on vertical axis (y-Axis). In addition, the curve is continuous in [tex](-5, 8)[/tex], so that images exists within interval.

The range of the curve is [tex][-9,9][/tex].

Answer: 140°

Step-by-step explanation:

If you look at ∠BXF, you can see that F is at the base of the inner semi circle. Going left, you can see that it stops at 140. Now, we know that m∠BXF is 140°.

Answer:

  m∠BXF = 140°

Step-by-step explanation:

The symbol "<" is "greater than." The symbol "∠" is "angle." When used as "m∠", it refers to "the measure of angle ...".

Here, you're asked for the measure of angle BXF.

You can see that it is an obtuse angle, so will have a measure greater than 90°. The protractor has two scales: one measuring angles counterclockwise, and the other measuring angles clockwise. Ray XF is aligned with the 0 on the inner (counterclockwise) scale, so the angle measure is found where ray XB crosses that scale.

Ray XB crosses the inner scale of the protractor at 140, so ...

  m∠BXF = 140°.

Answer:

SOHCAHTOA.

we have to use SOH(Sin) here because the theta is 65° and the opposite is 13 while the hypotenuse is x.

which is Sin 65°=13/x.

xSin65°=13.

0.906307787x=13.

x=13/0.9063=14.34403619~14.

Answer:

1 meter wide

Step-by-step explanation:

5+5=10

2/2=1

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

perimeter = 2(length+width)

then:

15 = 2(a+b)

a = 2b - 4

a = length

b = width

solve:

15/2 = (a+b)

7.5 = ((2b-4) + b) ⇒ Equation that represents the perimeter of the

                             rectangle)

7.5 = 3b -4

7.5+4 = 3b

11.5 = 3b

b = 11.5/3

b = 3.8333

a = 2b - 4

a = 2*3.8333 - 4

a = 3.6667

Check:

15 = 2(3.8333 + 3.6667)

15 = 2*7.5

Answer:

The equation used to solve Carey's hourly rate is:

1 + (c/2) = 6

Step-by-step explanation:

Answer:

The equation used to solve Carey's hourly rate is:

1 + (c/2) = 6

Step-by-step explanation:

edg2020

Answer:

1456

Step-by-step explanation:

If there are parentheses what is inside comes first, then multiplication or division, last is addition and subtraction. If you have multiple division or multiplication you go in order left to right. Once it's down to addition and subtraction you also go left to right.

First we multiply 284 * 5 = 1420

Now we go in order.

1420 - 6 + 42

1414 + 42

1414 + 42 = 1456

Answer:

you have four techniques to choose from: plugging in the x value, factoring, rationalizing the numerator, and finding the lowest common denominator.

hope that helps : )

Answer:

The family will pay 34722 cents more if they take the van

Step-by-step explanation:

Given

Van = 12 miles per gallon

Sedan = 36 miles per gallon

Distance = 2500 miles

Gas = $2.50 per gallon

First, we need to determine the number of gallons that'll be used by both vehicles

This  is done by dividing total distance by number of miles per gallon

[tex]Van = \frac{2500}{12} \ gallon[/tex]

[tex]Sedan = \frac{2500}{36}\ gallon[/tex]

Next, is to multiply this by the cost of gas per gallon;

This gives the total spendable amount on both vehicles

[tex]Van = \frac{2500}{12} * \$2.50[/tex]

[tex]Van = \frac{\$6250}{12}[/tex]

[tex]Van = \$520.833[/tex]

[tex]Sedan = \frac{2500}{36}* \$2.50[/tex]

[tex]Sedan = \frac{\$6250}{36}[/tex]

[tex]Sedan = \$173.611[/tex]

Next is to get the difference between these amounts

[tex]Difference = \$520.833 - \$173.611[/tex]

[tex]Difference = \$347.222[/tex]

Multiply by 100 to convert to cents

[tex]Difference = 347.222 * 100 cents[/tex]

[tex]Difference = 34722.2 \ cents[/tex]

[tex]Difference = 34722\ cents[/tex] (Approximated)

Hence;

The family will pay 34722 cents more if they take the van

Answer: F (-8, -3), G (-3, -5) and H (-1, -7)

Step-by-step explanation:

A rotation of 180° around the origin is equivalent to a reflection over the x-axis, and then another reflection over the y-axis.

Then, if we have a point (x, y) and we do a rotation of 180°, the point will transform into (-x, -y)

Then if at the start the vertices of the triangle are:

F (8, 3), G (3, 5), and H (1, 7).

After a rotation of 180°, the vertices will be:

F (-8, -3), G (-3, -5) and H (-1, -7)

The correct option is the last one.

Answer:

Hey there!

Total students: 7+9+5+3+12=36

Students that like math: 7

7/36=19.4% of students like math.

Let me know if this helps :)

Answer:

19% (Math)

Step-by-step explanation:

7 divide by total number of students (36) X100% =19%

Answer:

Answer: There is 1 1/2 times more juice than ginger ale; there is 2/3 as much ginger ale as there is punch.

Step-by-step explanation:

Answer:

Answer A:

Step-by-step explanation:

2 parts ginger ale to 3 parts raspberry juice.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

To simplify a number, you have to find the greatest common factor (of the numerator and the denominator) and divide each number by the greatest common factor.

The greatest common factor of 3 and 12 is 3.

Now divide each 3 and 12 by 3.

3 ÷ 3 = 1

12 ÷ 3 = 4

Now the numerator is 1 and the denominator is 4.

3/12 in reduced form is 1/4.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

3/12 in reduced form is 1/4

Step-by-step explanation:

find GCF for 3 and 12 which is 3 . step 2 divide numerator and denominator by GCd which is 3 and rewrite the fraction = (3/3) / (12/3) which equals 1/4. Thus 1/4 is the simplified fraction for 3/12 your welcome

Answer:

10 square units

Step-by-step explanation:

Answer:

6=6

True for all a

Step-by-step explanation:

[tex]2a+6=2a+5+1\\\mathrm{Subtract\:}2a\mathrm{\:from\:both\:sides}\\\mathrm{Simplify}\\6=5+1\\\mathrm{Simplify\:}5+1:\quad 6\\\\6 = 6[/tex]

Answer:

infinite solutions

Step-by-step explanation:

2a+6=2a+5+1

Combine like terms

2a+6 = 2a+6

Subtract 2a from each side

6 =6

Since this is always true, we have infinite solutions

Answer:

A

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=-3x\text{ and } g(x)=2x-1[/tex]

And we want to find f(x) + g(x).

So, substitute:

[tex]f(x)+g(x)\\=(-3x)+(2x-1)[/tex]

Combine like terms:

[tex]=(-3x+2x)+(-1)[/tex]

Simplify:

[tex]=-x-1[/tex]

So:

[tex]f(x)+g(x)=-x-1[/tex]

Answer:

A.

Step-by-step explanation:

the product of two irrational numbers

Answer:

the answer is A

Step-by-step explanation:

A. the product of two irrational numbers.

Answer:

x = 3

Step-by-step explanation:

6x + 2x - 5= 19

8x -5 = 19

8x = 24

x = 3

Answer:

x = 3

Step-by-step explanation:

6x + 2x - 5 = 19

Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, combine like terms:

(6x + 2x) - 5 = 19

(8x) - 5 = 19

Next, isolate the variable, x. First, add 5 to both sides:

8x - 5 (+5) = 19 (+5)

8x = 19 + 5

8x = 24

Next, divide 8 from both sides:

(8x)/8 = (24)/8

x = 24/8

x = 3

3 is your answer for x.

~

Answer:

x = 9, AR = 25 , AM = 40

Step-by-step explanation:

Since AM = AR + RM and AM also = 7x-23

7x - 23 = (2x + 7) + 15

7x - 23 = 2x + 22

    +23          +23

7x = 2x + 45

-2x   -2x

5x = 45

x = 9

Now plug x = 9 into 2x + 7 to find AR

AR = 2x + 7

     = 2 (9) + 7

     = 18 + 7

AR  = 25

Now to find AM plug x = 9 into 7x - 23

AM = 7x - 23

      = 7 (9) - 23

      = 63 - 23

AM = 40

To double check, we already know that RM = 15, so add AR + RM to find AM

AM = 25 + 15

AM = 40

Answer:

9 = x

AR = 25

AM =  40

Step-by-step explanation:

AR + RM = AM

2x+7 +15 = 7x - 23

Combine like terms

2x+22 = 7x -23

Subtract 2x from each side

2x+22 -2x = 7x-2x -23

22 = 5x - 23

Add 23 to each side

22+23 = 5x-23+23

45 = 5x

Divide each side by 5

45/5 = 5x/5

9 = x

AR = 2x+7 = 2*9 +7 = 18+7 = 25

AM = 7x-23 = 7*9 -23 = 63-23 = 40

Answer:

[tex]\int_C F . dr = \pi[/tex]

[tex]C : x = cost , y = sin t, z = sin^2 t - cos^2 t , 0 \leq t \leq 2 \pi[/tex]

Step-by-step explanation:

Given that:

[tex]F(x,y,z) = x^2yi + \dfrac{1}{3}x^3j +xyk[/tex]

Here C is the curve of intersection of the hyperbolic parabolic [tex]z = y^2 - x^2[/tex] and the cylinder [tex]x^2 +y^2 =1[/tex]

Using Stokes' Theorem

[tex]\int_C F . dr =\int \int \limits_s \ curl \ F. \ds[/tex]

From above ;

S = the region under the surface [tex]z = y^2 -x^2[/tex] and above the circle [tex]x^2+y^2 =1[/tex]

Suppose, we consider [tex]f(x,y,z) =z-y^2+x^2[/tex]

therefore, S will be the level curve of f(x,y,z) = 0

Recall that:

[tex]\bigtriangledown f (x,y,z)[/tex] is always normal to the surface S at the point (x,y,z).

∴

This implies that the unit vector [tex]n = \dfrac{\bigtriangledown f}{|| \bigtriangledown ||}[/tex]

So [tex]\bigtriangledown f = <2x, -2y,1 >[/tex]

Also, [tex]|| \bigtriangledown f ||= \sqrt{4x^2+4y^2+1}[/tex]

Similarly ;

[tex]curl \ F = \begin {vmatrix} \begin{array} {ccc}{\dfrac{\partial }{\partial x} }&{\dfrac{\partial }{\partial y} }& {\dfrac{\partial }{\partial z} }\\ \\ x^2y& \dfrac{1}{3}x^3&xy \end {array} \end{vmatrix}[/tex]

[tex]curl \ F = \langle x ,-y,0 \rangle[/tex]

Then:

[tex]\int \int_s curl \ F .ds = \int \int_s curl \ F .nds[/tex]

[tex]\int \int_s curl \ F .ds = \iint_D curl \ F \dfrac{\bigtriangledown f}{ || \bigtriangledown f||} \sqrt{ (\dfrac{\partial z}{\partial x }^2) + \dfrac{\partial z}{\partial x }^2)+1 } \ dA[/tex]

[tex]\int \int_s curl \ F .ds = \iint_D \dfrac{\langle x,-y,0 \rangle * \langle 2x,-2y,1 \rangle }{\sqrt{4x^2 +4y^2 +1 }} \times \sqrt{4x^2 +4y^2 +1 }\ dA[/tex]

[tex]\int \int_s curl \ F .ds = \iint_D (2x^2 + 2y^2) \ dA[/tex]

[tex]\int \int_s curl \ F .ds = 2 \iint_D (x^2 + y^2) \ dA[/tex]

[tex]\int \int_s curl \ F .ds = 2 \int \limits ^{2 \pi} _{0} \int \limits ^1_0r^2.r \ dr \ d\theta[/tex]

converting the integral to polar coordinates

This implies that:

[tex]\int \int_s curl \ F .ds = 2 \int \limits ^{2 \pi} _{0} \int \limits ^1_0r^2.r \ dr \ d\theta[/tex]

⇒ [tex]\int_C F . dr = 2(\theta) ^{2 \pi} _{0} \begin {pmatrix} \dfrac{r^4}{4}^ \end {pmatrix}^1_0[/tex]

[tex]\int_C F . dr = 2(2 \pi) (\dfrac{1}{4})[/tex]

[tex]\int_C F . dr =(4 \pi) (\dfrac{1}{4})[/tex]

[tex]\int_C F . dr = \pi[/tex]

Therefore, the value of [tex]\int_C F . dr = \pi[/tex]

The parametric equations for the curve of intersection of the hyperbolic paraboloid can be expressed as the equations of the plane and cylinder in parametric form . i.e

[tex]z = y^2 - x^2 \ such \ that:\ x=x , y=y , z = y^2 - x^2[/tex]

[tex]x^2 +y^2 =1 \ such \ that \ : x = cos \ t , y= sin \ t, z = z, 0 \leq t \leq 2 \pi[/tex]

Set them equal now,

the Parametric equation of [tex]C : x = cost , y = sin t, z = sin^2 t - cos^2 t , 0 \leq t \leq 2 \pi[/tex]

Step-by-step explanation:

Hey, there!

Let's simply solve it.

As there is given that L and M are parallel. Use all the condition or properties of parallel lines.

Here use:

Now,

angle 6= 38° { Vertically opposite angle}.

angle 6 + angle 5 = 180° { as sum of coointerior angles are equal to 180°}

38°+angle 5 = 180°

or, angke 5 = 180°-38°

Therefore, angle 5 = 142°

Now, angle 3 = angle 5 { Vertically opposite angle}

Therefore, the measure of angle 3 is 142°.

[tex]hope \: it \: helps...[/tex]

Answer: 142

Step-by-step explanation:

Answer:

Step-by-step explanation:

(4 + 9x)^3 represents "the cube of the sum of 4 and 9 times x"

and if we divide by "the product of 5 times x and the difference of x and 1," we get

    (4 + 9x)^3

-----------------------

       5x(x - 1)

What exactly do you need to know, or to do?

Answer:

23

Step-by-step explanation:

you add 10m(h) plus 8m(w) plus 15m(l)

Answer:

523.1m²

Step-by-step explanation:

Triangle: 1/2bh=1/2(4)(10)=20x2=40 each

Bottom Rectangle: 15x8=120

Side Rectangles: Since the side is a hypotenuse of a right triangle, it’s the square root of 10²+4²=√116=10.77.  10.77x15=161.55

So the total surface area would be 40+40+120+161.55+161.55=523.1m²

Answer:

E. This polynomial could be factored by using grouping or the perfect squares methods.

Step-by-step explanation:

x^2 + 2x + 1

There is no greatest common factor

This is a perfect square

a^2 + 2ab+ b^2 = ( x+1)^2

We can factor this  by grouping

x^2 + 2x + 1

(x^2 +x) + (x+1)

x( x+1)  + x+1

Factor out x+1

( x+1)  ( x+1)

This is not the difference of squares since there is no subtraction

Answer:

2, 5, & 6

Step-by-step explanation:

2, because it’s the opposite angle.

5, because it’s parallel.

6, because it’s opposite to 5.

2, 5, & 6 all equal 100°.

1, 3, 4, & 7 all equal 80°.

The angles formed that are congruent to angle measure of 100 degrees when transversal t intersects parallel lines m and n are:

Angle measuring 100 degrees is the given angle measure formed at the point of intersection between line m and transversal t.

Thus, angles that are congruent to 100 degrees will be equal in measure to 100 degrees.

The following are angles congruent to 100 degrees.

<2 is congruent to 100 degrees (vertically opposite angles are congruent).

<5 is congruent to 100 degrees (corresponding angles are congruent).

<6 is congruent to 100 degrees (alternate exterior angles are congruent).

Therefore, the angles formed that are congruent to angle measure of 100 degrees when transversal t intersects parallel lines m and n are:

Learn more here:

https://brainly.com/question/15937977

Which equation correctly shows the multiplication of the means and extremes in the proportion 7.2 ∕ 9.6 = 21.6 ∕ 28.8?

a. 7.2 ⋅ 9.6 = 21.6 ⋅ 28.8

b. 9.6 ⋅ 21.6 = 28.8 ⋅ 7.2

c. 7.2 ⋅ 21.6 = 28.8 ⋅ 9.6

d. 7.2 ⋅ 28.8 = 21.6 ⋅ 28.8

Answer:

b. 9.6 ⋅ 21.6 = 28.8 ⋅ 7.2

Step-by-step explanation:

When a proportion say a/b = c/d is given, the outer terms are called the extremes while the inner/middle terms are called the means.

In the case of a / b = c / d,

the outer terms are a and d

the inner terms are b and c

Often times, we find the cross products of the proportion to test whether the two ratios in the proportion are equal. To do that, we find the product of the extremes and equate it to the product of the means.

In the case of a / b = c / d,

the cross products are a x d and b x c

So if a x d = b x c, then a/b = c/d is a true proportion.

Now to the question;

Given proportion: 7.2 / 9.6 = 21.6 / 28.8

Extremes = 7.2 and 28.8

Means = 9.6 and 21.6

The correct multiplication of the means and extremes is therefore

9.6 x 21.6 = 7.2 x 28.8

or

9.6 · 21.6 = 7.2 · 28.8

Answer:

a. [tex]\mathbf{P(\overline x < 68) = 0.9998}[/tex]

b. [tex]\mathbf{P(68 < \overline x < 69 ) =0}[/tex]

c. [tex]\mathbf{P ( \overline x > 66 ) =0.02275}[/tex]

Step-by-step explanation:

Given that ;

Let Y be a random variable In a​ population, where:

mean [tex]\mu_y[/tex] = 65

[tex]\sigma^2_y[/tex] = 49

standard deviation σ  = [tex]\sqrt{49}[/tex] = 7

The objective is to determine the following :

In a random sample of size n​ = 69​, find Pr(Y <68) =

Using the Central limit theorem

[tex]P(\overline x < 68) = \begin {pmatrix} \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{68 - \mu }{\dfrac{\sigma}{\sqrt{n}}} } \end {pmatrix}[/tex]

[tex]P(\overline x < 68) = \begin {pmatrix}Z < \dfrac{68 - 65 }{\dfrac{7}{\sqrt{69}}} } \end {pmatrix}[/tex]

[tex]P(\overline x < 68) = \begin {pmatrix}Z < \dfrac{3 }{\dfrac{7}{8.3066}} } \end {pmatrix}[/tex]

[tex]P(\overline x < 68) = (Z < 3.5599 )[/tex]

From the z tables:

[tex]\mathbf{P(\overline x < 68) = 0.9998}[/tex]

In a random sample of size n​ = 124​, find Pr (68< Y <69)=

[tex]P(68 < \overline x < 69 ) = P \begin {pmatrix} \dfrac{68- \mu}{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{ 69 - \mu}{\dfrac{\sigma}{\sqrt{n}}} \end {pmatrix}[/tex]

[tex]P(68 < \overline x < 69 ) = P \begin {pmatrix} \dfrac{68- 65}{\dfrac{7}{\sqrt{124}}} < Z < \dfrac{ 69 - 65}{\dfrac{7}{\sqrt{124}}} \end {pmatrix}[/tex]

[tex]P(68 < \overline x < 69 ) = P \begin {pmatrix} \dfrac{3}{\dfrac{7}{11.1355}} < Z < \dfrac{ 4}{\dfrac{7}{11.1355}} \end {pmatrix}[/tex]

[tex]P(68 < \overline x < 69 ) = P \begin {pmatrix} 4.7724 < Z < 6.3631 \end {pmatrix}[/tex]

[tex]P(68 < \overline x < 69 ) = P( Z < 6.3631 ) - P ( Z < 4.7724 )[/tex]

From z tables

[tex]P(68 < \overline x < 69 ) = 0.9999 - 0.9999[/tex]

[tex]\mathbf{P(68 < \overline x < 69 ) =0}[/tex]

In a random sample of size n​ = 196​, find Pr (Y >66)=

[tex]P ( \overline x > 66 ) = P ( \dfrac{\overline x -\mu }{\dfrac{\sigma}{\sqrt{n}}} > \dfrac{66 -\mu }{\dfrac{\sigma}{\sqrt{n}}})[/tex]

[tex]P ( \overline x > 66 ) = P ( Z> \dfrac{66 - 65 }{\dfrac{7}{\sqrt{196}}})[/tex]

[tex]P ( \overline x > 66 ) = P ( Z> \dfrac{1 }{\dfrac{7}{14}})[/tex]

[tex]P ( \overline x > 66 ) = P ( Z> \dfrac{14 }{7})[/tex]

[tex]P ( \overline x > 66 ) = P ( Z>2)[/tex]

[tex]P ( \overline x > 66 ) = 1 - P ( Z<2)[/tex]

from z tables

[tex]P ( \overline x > 66 ) = 1 - 0.9773[/tex]

[tex]\mathbf{P ( \overline x > 66 ) =0.02275}[/tex]

Answer:

.00000005708 is your answer. If it's asking you to solve the problem, 49.08

Answer:

[tex]\Huge \boxed{0.00000005708}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]5.708 \cdot 10^{-8}[/tex]

Solving for exponent and evaluating:

[tex]\displaystyle 5.708 \cdot \frac{1}{10^8 }[/tex]

[tex]\displaystyle \frac{5.708}{10^8 }[/tex]

[tex]\Rightarrow \ \displaystyle \frac{5.708}{100000000}[/tex]

The decimal place moves 8 units to the left side.

[tex]\Rightarrow \ 0.00000005708[/tex]

[tex]\rule[225]{225}{2}[/tex]