Find the value of 4!.

Answer: Angles 1 and 5

Step-by-step explanation: Corresponding angles are angles that have the same measures.

Since angle 1 and 5 have the same measure on these lines, that means that the answer must be angle 1 and 5.

Answer:

Step-by-step explanation:

We want to scale by a factor of 1/10 so |a| = 1/10. This means that the graph is compressed vertically.

We do not reflect across the x axis so a = 1/10.

The new parabola is: y = 1/10 x^2

The new equation of the parabola will be  [tex]y=\frac{x^{2} }{10}[/tex].

The given parabola is:

[tex]y=x^{2}[/tex]

A parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped.

When the parabola y=x² is scaled vertically by a factor of 1/10.

The new equation of parabola will be = [tex]y=\frac{x^{2} }{10}[/tex].

This means the graph of a new parabola will look similar to the previous parabola(symmetric about the origin) but outputs(function values) will be different.

Hence, the new equation of the parabola will be  [tex]y=\frac{x^{2} }{10}[/tex].

To get more about parabola visit:

https://brainly.com/question/4148030

Answer:

9

Step-by-step explanation:

9.05= 9.0=9

0 isn't greater than five, so you leave it as 9

Answer:

A) The relative frequencies in the table are reasonably close; C) The relative frequency of rolling an even number is 0.51.

Step-by-step explanation:

The relative frequencies given are at most 0.02 apart.  This means they are reasonably close.

The theoretical probability for each outcome would be 1/4, or 0.25; this means the theoretical probability of rolling an even number would be 0.50, not 0.51.

However, the relative frequency of rolling an even number would be 0.24+0.27 = 0.51.

Since the relative frequencies are reasonably close, the number cube is likely to be fair.

Answer:

Option A and C are true.

Step-by-step explanation:

Given : Dina has a number cube that she uses for a game. The number cube has the shape of a triangular pyramid, with 4 faces numbered 1 through 4.

Dina rolls the number cube 100 times and records the results. She calculates the relative frequency of each outcome

Outcome :                     1            2            3             4

Relative Frequency :   0.23     0.24      0.26       0.27

To find : Which statements about Dina's experiment are true?

Solution :

Option A - The relative frequencies in the table are reasonably close.

This statement is true, as we see that the relative frequency are all between 0.23 to 0.27 that are reasonably close.

Option B - The theoretical probability of rolling an even number is 0.51.

This statement is not true, as the theoretical probability of rolling even numbers is

2 even numbers from 4, so probability is

[tex]P=\frac{2}{4}=\frac{1}{2}=0.5[/tex]

Option C - The relative probability of rolling an even number is 0.51.

This statement is true, as the relative frequency of an even number is 0.24+0.27=0.51

Option D - The number cube is not likely to be fair.

The statement is not true, as the relative frequency are reasonably close which  implies that the number cube is likely to be fair and sum of the relative frequency is 1.

Therefore, Option A and C are correct.

Answer:

[tex]\large\boxed{g)\ 6xy^2=(3x)(2y^2)}\\\boxed{h)\ 25a^3b^2=(5a^2b^2)(5a)}\\\boxed{i)\ 6x+6y+6p=6(x+y+p)}[/tex]

Step-by-step explanation:

[tex]g)\ 6xy^2=3\cdot2\cdot x\cdot y\cdot y=(3\cdot x)(2\cdot y\cdot y)=(3x)(2y^2)\\\\h)\ 25a^3b^2=5\cdot5\cdot a\cdot a\cdot a\cdot b\cdot b=(5\cdot a\cdot a\cdot b\cdot b)(5\cdot a)=(5a^2b^2)(5a)\\\\i)\ 6x+6y+6p=6\cdot x+6\cdot y+6\cdot p=6(x+y+p)[/tex]

Other way for g) and h):

[tex]g)\ \dfrac{6xy^2}{3x}=\dfrac{6}{3}\cdot\dfrac{xy^2}{x}=2y^2\\\\6xy^2=(3x)(2y^2)\\\\h)\ \dfrac{25a^3b^2}{5a^2b^2}=\dfrac{25}{5}\cdot\dfrac{a^3}{a^2}\cdot\dfrac{b^2}{b^2}=5a\\\\25a^3b^2=(5a^2b^2)(5a)[/tex]

To factor by identifying a common factor in each term, divide out the greatest common factor of the terms.

To factor by identifying a common factor in each term, we look for a number or variable that can be divided out of each term. Let's go through the expressions one by one:

g) 6xy2 = (3x) ?

We can see that both terms have a common factor of 3x. Dividing each term by 3x gives us 2y2.

h) 25a3b2 = (5a2b2) ?

Again, both terms have a common factor, which is 5a2b2. Dividing each term by 5a2b2 gives us 5a.

i) 6x + 6y + 6p

Here, all three terms have a common factor of 6. Dividing each term by 6 gives us x + y + p.

https://brainly.com/question/33624529

#SPJ3

Answer:

HOPEFULLY THIS HELPS YOU

Arithmetic sequence: an = a1 + (n-1)d

In this case: an = 7 +(n-1)(-4)

Answer:

Step-by-step explanation:

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

r - radius

We have C = 21.99 ft. Substitute and solve for r:

[tex]21.99=2\pi r[/tex]             divide both sides by 2π

[tex]r=\dfrac{21.99}{2\pi}[/tex]

Use [tex]\pi\approx3.14[/tex]

[tex]r\approx\dfrac{21.99}{2(3.14)}=\dfrac{21.99}{6.28}\approx3.5[/tex]

The radius of a circle with a circumference of 21.99 feet is 3.50 ft

where

r = radius

Therefore,

circumference = 21.99 ft

circumference = 2πr

circumference = 2 × 3.14 × r

21.99 = 6.28r

divide both sides by 6.28

r = 21.99 / 6.28

r = 3.50159235669

r = 3.50 ft

learn more on circumference here: https://brainly.com/question/12388756

Answer:

if you want to find a percent first you have to find the fraction. for an example for other, if 75 people out of 300 people are working you would divide 75 by 300. that would give you .25. then you multipluy by a hundred. that would give you 25 percent

Step-by-step explanation:

To graph the equation y = -2x - 3, start by plotting the y-intercept at (0, -3) and then use the slope to find more points. Connect these points to form the line.

The given equation is y = -2x - 3. To graph this equation, we can start by plotting the y-intercept, which is -3. This means that the line intersects the y-axis at the point (0, -3). From there, we can use the slope, which is -2, to find more points on the line. For example, when x = 1, y = -2(1) - 3 = -5. So, we can plot another point at (1, -5). By connecting these points, we can draw a straight line that represents the equation y = -2x - 3.

Answer:

85°

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral add up to 180°.in the figure provided, angle d is opposite the angle whose value is 95° while angle c is opposite the angle marked 110°.  there fore its value can be calculated as follows:

angle d= 180-95

angle d=85°

ANSWER

[tex]x = 6[/tex]

EXPLANATION

The given equation is

[tex] \sqrt{3x + 7} = x - 1[/tex]

We square both sides of the equation to obtain,

[tex](\sqrt{3x + 7} ) ^{2} =( x - 1)^{2} [/tex]

This implies that,

[tex]3x + 7 = {x}^{2} - 2x + 1[/tex]

Rewrite in standard quadratic equation form.

[tex] {x}^{2} - 2x - 3x+ 1 - 7 = 0[/tex]

[tex]{x}^{2} -5x - 6= 0[/tex]

Factor

[tex](x - 6)(x + 1) = 0[/tex]

This implies that,

[tex]x = 6 \: x = - 1[/tex]

We check for extraneous solution by substituting each x-value into the original equation.

When x=-1,

[tex]\sqrt{3( - 1)+ 7} = - 1- 1[/tex]

[tex]\sqrt{4} = - 2[/tex]

2=-2....False

Hence x=-1 is an extraneous solution.

When x=6,

[tex]\sqrt{3( 6)+ 7} = 6- 1[/tex]

[tex]\sqrt{25} = 5[/tex]

5=5 is True.

Hence x=6 is the only solution.

Answer:

Statements of Max Area as 100 sqft and area of less or equal to 100 sqft are true

Step-by-step explanation:

P=40

P=2L+2w

A=L•w

If L=10, w=10, A=100

If L=1, w=19, A=19

If L=0.5, w=19.5, A=9.75

If L=10.5, w=9.5, A=99.75

×Max area is NOT 10

✓Max Area is 100

×Minimum area is NOT 100

✓Area ≤100

Answer:

[tex]\frac{2y+3}{7y-1}[/tex]

Step-by-step explanation:

The given expression is

[tex]\frac{10y^2+15y}{35y^2-5y}[/tex]

Factor both the numerator and the denominator.

[tex]=\frac{5y(2y+3)}{5y(7y-1)}[/tex]

Cancel out the common factors.

[tex]=\frac{2y+3}{7y-1}[/tex]

Answer:

The correct answer is,

(10y² + 15y)/(35y² - 5y) = (2y + 3 )/( 7y - 1)

Step-by-step explanation:

It is given an expression,

(10y² + 15y)/(35y² - 5y)

To simplify the given expression

Taking 5y as common from both numerator and denominator,

(10y² + 15y )/( 35y² - 5y) = 5y( 2y + 3)/5y( 7y - 1)

 = (2y + 3 )/( 7y - 1)

Therefore the simplified form of given expression is given by,

(10y² + 15y)/(35y² - 5y) = (2y + 3 )/( 7y - 1)

They are similar because they have equal corresponding angles and proportional sides.

Answer:

Step-by-step explanation:

the relative frequency of elementary

school students who prefer watching

football to the total number of

elementary school students, as a

percentage rounded to the nearest

whole number

.[tex]\frac{(26)}{137} \\=0.1897\\=19%[/tex]

the relative frequency of middle

school students who prefer watching

basketball to the total number of

students, as a percentage rounded

to the nearest whole number

=[tex]\frac{50}{502} =0.0996\\\\=9.96%\\=10%[/tex]

the difference of the number of

students who like watching baseball

and the number of students who like

watching soccer

=102-59=43

the difference of the number of high

school students who like watching

soccer and the number of high

school students who like watching

tennis ..

=36-11=25

Answer: second option

Step-by-step explanation:

The standard form of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

Then, to write the quadratic equation given in the problem in standard form, you must substract 1 from both sides of the equation. Then you have:

[tex]2x^2+5x-1=0[/tex]

Given the quadratic equation above, to find the value of [tex]b^2-4ac[/tex]  you must substitute:

a=2; b=5 and c=-1 into [tex]b^2-4ac[/tex]

Thenrefore, you obtain the following result:

[tex]5^2-4(2)(-1)=33[/tex]

Answer:

[tex]33[/tex]

Step-by-step explanation:

The given quadratic equation is

[tex]1=2x^2+5x[/tex]

We want to rewrite this equation in the form;

[tex]ax^2+bx+c=0[/tex]

We add [tex]-1[/tex] to both sides of the equation to obtain;

[tex]0=2x^2+5x-1[/tex]

This is the same as

[tex]2x^2+5x-1=0[/tex]

This implies that;

[tex]a=2,b=5,c=-1[/tex]

We substitute these values into the expression [tex]b^2-4ac[/tex]

[tex]\Rightarrow 5^{2}-4(2)(-1)[/tex]

[tex]=25+8[/tex]

[tex]=33[/tex]

Answer:

[tex]\large\boxed{(x-9)^2+(y+5)^2=4}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the center (9, -5) and the radius r = 2. Substitute:

[tex](x-9)^2+(y-(-5))^2=2^2\\\\(x-9)^2+(y+5)^2=4[/tex]

The initial value is when Y equals when x is 0.

Replace x with 0 in the equation and solve for y.

Y = -4x -3

y = -4(0) - 3

y = 0-3

y = -3

Answer:

-3

Step-by-step explanation:

The initial value of an equation is when x=0

y = −4x − 3

Let x =0

y = -4(0) -3

y = 0-3

y=-3

The initial value is -3

Answer:

d) [tex]\cos(\theta)=-\frac{\sqrt{5}}{3}[/tex]

Step-by-step explanation:

If   [tex]\sin(\theta)=\frac{2}{3}[/tex] and [tex]\tan(\theta)\:<\:0[/tex], then

[tex]\theta[/tex] is in quadrant 2.

Recall that;

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

We substitute the given sine ratio to obtain;

[tex](\frac{2}{3})^2+\cos^2(\theta)=1[/tex]

[tex]\frac{4}{9}+\cos^2(\theta)=1[/tex]

[tex]\cos^2(\theta)=1-\frac{4}{9}[/tex]

[tex]\cos^2(\theta)=\frac{5}{9}[/tex]

[tex]\cos(\theta)=\pm \sqrt{\frac{5}{9}}[/tex]

[tex]\cos(\theta)=\pm \frac{\sqrt{5}}{3}[/tex]

We are in the second quadrant, therefore

[tex]\cos(\theta)=-\frac{\sqrt{5}}{3}[/tex]

Answer:

15+c-d

Step-by-step explanation:

4(3+1/4c-1/2d) or in decimals 4(3+0.25c-0.5d)

distribute the 4 (in other words use the distributive property)

4 · 3 = 12

4 · 0.25 = 1

4 · 0.5 = 2

12 + 1 + 2 = 15

15 + c-d is your answer

hope I helped <3

Answer:5.5

Step-by-step explanation:

A. P. E. X.

The length of the line segment EF will be 55 units. Then the correct option is B.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

In the diagram, the line segment EF is the given as the half of the sum of the line segment BC and the line segment AD.

EF = (BC + AD) / 2

From the diagram, the length of the line segment AD is 7.6 units and the length of the line segment BC is 3.4 units.

Put these values in equation. Then the length of the line segment EF will be

EF = (3.4+ 7.6) / 2

EF = 11 / 2

EF = 5.5 units

Thus, the length of the line segment EF will be 55 units.

Then the correct option is B.

More about the trapezium link is given below.

https://brainly.com/question/22607187

#SPJ5

Answer:

138.3ft^3

Step-by-step explanation:

Volume for cylinders : V = pi*r^2*h

Volume for cones : V = pi*r^2*(h/3)

Since we know the radius (r) is 2 and the height is 10 and 3 for the cylinder and cone respectively, all we do is plug in.

Volume for cylinder is about 125.7ft^3

Volume for cone is about 12.6ft^3

Then just add them together for a total of 138.3ft^3

Answer:

B and D

Step-by-step explanation:

The surface area is the area of each face of the cube. The volume is the amount that will fill the cube. These are two separate processes which cannot give you the same measurement by calculating one part of the surface area. B is false.

Doubling the sides of the cube will not double the surface area. It will quadruple it. D is false too.

The two angles shown ( 134 and X) make a straight line.

A straight line equals 180 degrees.

To find X subtract 134 from 180.

X = 180 - 134

x = 46

Step-by-step explanation:

An hour and a half is 90 minutes.

Knowing this, set up a proportion.

20 over 15 is equal to x over 90.

x is equal to: 120 miles

The complete factorization of the given polynomial is (x² + 1)(x + 2).

To factorize the polynomial [tex]x^3 + 2x^2 + x + 2[/tex], we first look for any common factors. In this case, we don't have any common factors, so we move on to factoring by grouping.

Unfortunately, this cubic polynomial does not factorize nicely into simpler terms using rational numbers. It would involve using heavy algebra and complex numbers to factor. Usually, for a cubic polynomial of this nature, a numerical method will be employed to find its roots.

We can group the terms as [tex]x^3 + 2x^2 + x + 2[/tex]). Taking out the common factors from each group, we get:

[tex]x^2[/tex](x + 2) + 1(x + 2).

Now, notice that we have a common binomial term (x + 2), so we can factor that out as well:

([tex]x^2[/tex] + 1)(x + 2).

https://brainly.com/question/33624529

#SPJ6

Answer:

2.05 meters

Step-by-step explanation:

Superimpose a triangle when drawing out the situation.  The distance the ladder reaches up the tree is the side of the triangle opposite of the angle.  The distance the ladder is from the tree is side adjacent to the triangle.  We can use tangent to solve this.

Tan X = (opposite side)/(adjacent side)

Tan 64 = a/1

Tan 64 = a         (anything over 1 is just itself)

2.050303842 = a   (use tan on your calculator)

Answer:

60ft/s

Step-by-step explanation:

To find the rate

rate = f(3) - f(0)

         -------------

         3-0

rate = 200-380

         ---------------

         3-0

rate = -180/3   = -60 ft/s

The negative tells us it is falling

The fall falls 60ft/s

Answer:

The correct answer is 60 feet / second.

Step-by-step explanation:

We are given the height of a ball which is falling from a height of 280 feet for 3 seconds.

We are to find the ball's rate of fall during the first 3 seconds.

For that, we will take the difference between the heights and divide it by the time.

Ball's rate = [tex] \frac { 3 8 0 - 2 0 0 } { 3 } [/tex] = 60 feet / second

Answer:

x equals six start fraction one over two end fraction

Step-by-step explanation:

Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.

Slope of YZ is:

[tex]m = \frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{2-5}=\frac{-4}{-3}=\frac{4}{3}[/tex]

Since they are parallel, then WX has a slope of 4/3 too.

Slope of WX is:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3}=\frac{-2--4}{x-5}\\\\\frac{4}{3}=\frac{2}{x-5}\\\\\frac{4}{3} (x-5) = 2\\\\4x -20=6\\\\4x = 26\\\\x = 6\frac{1}{2}[/tex]

Answer: tithe area of figure b is 315.

Step-by-step explanation: