Solve each of the given compound inequalities. Enter your answers using interval notation.

x−5<−4 and −7x+6≤−71

Answer: 2 x 2 x 2 x 3 x 5

Step-by-step explanation:

Hope this helps. Those are all primes that equal 120.

Answer:5

Step-by-step explanation:

24/4=6

6-1=5

Answer:

w = 5

Step-by-step explanation:

-4 (w+1) = -24

-4w -4 = -24    | +4

-4w = -20        | :(-4)

w = 5

*see attachment for the diagrambifbthe mapping

Answer:

{x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

The domain of a function includes all input values entered in the oval for input, while the range includes all the values in the output oval.

From the mapping given in the attachment, we have the following possible values of the function in the input oval as: -5, -3, 1, 2, 6.

These x-values make up the domain of the function, and represented as: {x | x = –5, –3, 1, 2, 6}

Statements - reasons :-

<1~= <5 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5 ~=<7 - Vertical Angles Theorem

line I || line m - Transitive Property

Answer:

32

Step-by-step explanation:

Let, the age of father and mother be x and y respectively. then,

According to question,

x + y = 76.........(i)

x= y + 12...............(ii)

Now,

x + y = 76

or, ( y + 12) + y = 76

or, y + 12 + y = 76

or, 2y = 76 – 12

or, 2y = 64

or, y = 64/2

.

. . y = 32

hope it will help you.

Answer:

the equation for the circumerence of a circle is    pi R squared

Step-by-step explanation:

here the radius is 28

So it would be pi 28squared

so i think it would be 784pi

Answer:

[tex]\frac{V}{wh}=l[/tex]

Step-by-step explanation:

Equation: [tex]V=lwh[/tex]

1). [tex]\frac{V}{wh}=\frac{lwh}{wh}[/tex]

2). [tex]\frac{V}{wh}=l[/tex]

Answer:

5x-2y=-33

First.) -5x+10x= 5x

Second.) -5y+3y= -2y

Third.) -30+-3= -33

Answer:

675 x 78/567

First let's find the product of the numerator;

(675 x 78) = 52,650

Now we divide by 567:

52,650/567 = 92.85, which is around 92.90

Answer:

90degrees

Step-by-step explanation:

I'm pretty sure, terribly sorry if I'm wrong

~Animaljamissofab ♥

nice green square lol

90°  is the measure of angle x°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

Here, given that,

the figure is a square,

so, all its angle = 90 degrees

Now, the x = (180-90)=90

Hence, 90°  is the measure of angle x°.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

Answer:

Axis of symmetry (-b/2a)= -2.5 or -5/2

Vertex- (2.5, -6.25) or (-5/2, -25/4)

Step-by-step explanation:

Find the AOS= -(-5)/2(1)= 2.5

Find the vertex= (2.5)^2 - 5(2.5)= -6.25

Q: What is 9.8x+17=7.6x-16?

A: Your answer should be 2.8867, I tried the best I could.

Answer:

x= -15

Step-by-step explanation:

You subtract 7.6 from 9.8

then you left with 2.2x+17=-16

Subtract 17 from -16 ( -33 )

Then you'll divide 2.2 and -33

x= -15

Answer:

c=9

Step-by-step explanation:

it’s because from the angles, you can see that this is an isosceles triangle, there the two sides have to be the same.

Answer:

D. [tex]7xy# < 18[/tex]

Step-by-step explanation:

[tex]4(0.5)(5) > 11.5[/tex] [tex]10 > 11.5[/tex] which is not true

[tex]9(5)+0.5 > 45.5[/tex]  [tex]45.5 > 45.5[/tex] which is not true (they are equal)

[tex]5-2(0.5) < 3[/tex] [tex]4 < 3[/tex] which is not true

[tex]7(0.5)(5) < 18[/tex]  [tex]17.5 < 18[/tex] which is true so the answer is D

Given:

The equation is

[tex]\dfrac{7}{2}n=3n+4[/tex]

To find:

The properties which is not used from the given options.

Solution:

We have,

[tex]\dfrac{7}{2}n=3n+4[/tex]

Using Multiplication Property of Equality, multiply both sides by 2.

[tex]2(\dfrac{7}{2}n)=2(3n+4)[/tex]

[tex]7n=6n+8[/tex]                    (Distributive Property)

Using Subtraction Property of Equality, subtract 6n from both sides.

[tex]7n-6n=6n+8-6n[/tex]

[tex]n=8[/tex]

From the given options only one property is not used, i.e., Zero Product Property.

Therefore, the correct option is D.

Answer:

5 ≤ 2n - 3.6

Step-by-step explanation:

Five is less than or equal to the difference of twice a number n and 3.6

Five is less than or equal to:  5 ≤

twice a number n:  2n

difference of twice a number n and 3.6:  2n - 3.6

Therefore,

5 ≤ 2n - 3.6

Number is n

Twice a number means multiplication

Difference means subtraction

The expression becomes

5<=2n-3

Answer:

8 platters

Step-by-step explanation:

Answer:

a + 55 =180

a=180-55=125

b = 55 alternate angles

c=a=125 alternate angles

e =125. alternate angles

f=b=55

h=f=55 alternate angles

Step-by-step explanation:

(a) < a = 180-55= 125

(b) < b = 180- 125= 55

(c) < c = 189- 55 = 135

(d) < e = 125

(e) < f = 180-125= 55

(f) < h = 55

~

< a and < c are vertical angles.

< a and < b are adjacent angles.

< b and <h are Alternate interior angles.

< f and 55° are Alternate Exterior angles.

< a and < e are corresponding angles.

~

The equation of the line is the vertical line x = 3.

The gradient of the line between two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

Since the line passes through the points (3,-3) and (3,8),  

So, substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁).

m = (8 - (-3))/(3 - 3).

m = (8 + 3)/0

m = 11/0

m = +∞

The equation of the line passing through the point (x₁, y₁) in point-slope form is given by

y - y₁ = m(x - x₁) where

So, substituting the values of the variables into the equation, we have

y - y₁ = m(x - x₁)

y - (-3) = +∞(x - 3)

y + 3 = +∞(x - 3)

y + 3/+∞ = (x - 3)

0 = x - 3

x = 3

So, the equation of the line is the vertical line x = 3.

Learn more about equation of a line in point-slope form here:

https://brainly.com/question/24907633

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

first list a few points to find the slope

(1,1) (3, 2)

y2 - y1/x2 - x1

2 - 1/3 - 1

1/2

y = 1/2x + b

to find the slope use a point you didnt use yet (since its tricky to find the intercept looking at the graph)

(-1, 0)

0 = 1/2(-1) + b

0 = -1/2 + b

b = 1/ 2

lets check:

point: (-3, -1)

y = 1/2x + 1/2

-1 = 1/2(-3) + 1/2 ?

-1 = -3/2 + 1/2 ?

-1 = -1

Answer:

Slope intercept form;

y = mx + b

If we look at the graph, we can see the line intercepts with y axis at around 0.5, so 0.5 is our y - intercept.

If we look at the slope it rises 1/2

Though we can double check by using two points of the line:-

Δy     y2 - y1

___= ______

Δx      x2 - x1

One point of the line, (1,1)

Second point of the line, (3,2)

Plug it into the formula:

2 - 1          1

____ =  ____, 1/2 is the slope

3 - 1          2

Now we use it in our equation;

y = 1/2x + 0.5

Answer:

18.0833 ft

Step-by-step explanation:

[tex]area=\frac{bh}{2}[/tex] where b is the base and h is the height

[tex]217=\frac{24h}{2}[/tex]

[tex]434=24h[/tex]

[tex]h=18.0833[/tex]

Answer:

No. <BAC and <CAD remain congruent, and m<DAB is still the sum of m<BAC and m<CAD

Step-by-step explanation:

Answer:

No. ∠BAC and ∠CAD remain congruent, and m∠DAB is still the sum of m∠BAC and m∠CAD.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

4/9 and -5/9 are 1 apart. This is because one of the numbers is positive and the other is negative, you have to make the negative number positive and add the two positive numbers together. In this case, 4/9+5/9=9/9. 9/9 is equivalent to 1. So, 4/9 and -5/9 are 1 apart.

Hope the explanation and answer helps!

Answer: -5/9 is negative, 4/9 is positive. The Difference when you subtract =1

Step-by-step explanation:

4/9 - -5/9 = 4/9 +5/9 = 1

(Subtracting negative = adding positive)

Answer:

10x-9-(9x-10)

=10x-9-9x+10

=10x-9x+10-9

=x+1

Answer:x+1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The angle of elevation is the angle between the horizontal line and the line connecting you and the sun.

Since the line is vertical the angle between them is right angle.

Correct choice is A.

Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.

Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees,  79 degrees, and '180 - x' degrees

Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.

Now using the knowledge gained lets set up the equation

            [tex]123 + 94 + 79 + 180 - x = 360\\476 - x = 360\\-x = -116\\x = 116[/tex]

Therefore x is 116 degrees.

Hope that helps!

Answer:

  (a)  y = 1.5·1.3^x

Step-by-step explanation:

Growth is modeled by an exponential function when the base is greater than 1.

There is only one answer choice that models growth. The others all have a base (0.5 or 0.59) that is less than 1, so model decay.

  y = 1.5·1.3^x

Step-by-step explanation:

that is a strange question. you will see in a moment why.

I suspect your teacher just wants to do the exercise to have a large volume and then see how often a small volume fits into that large volume.

we can do that quickly:

large volume = 10×2×312 = 6240 in³

small (cube) volume = 12×12×12 = 1728 in³

so, we could put 6240/1728 = 3.611111111... cubes into a volume as the prism has.

now why did I phrase this so strangely ?

because the prism not only has volume but also a shape.

it is a narrow but high container with the small dimensions being 10 in and 2 in.

the cubes have a side (or edge) length of 12 in. that is not compatible with the 10 in and 2 in cubes of the prism.

not a single one cube would fit into the prism.

so, the realistic answer is : 0 cubes.

if it does not matter that the cubes would stand out of the prism, we could simply stack a single file of cubes along the height of the prism :

312/12 = 26 cubes.

so, we could stack 26 cubes inside the height of the prism.

so, I conclude, this is either a trick question (and 0 is the true answer), or there is a mistake in the question.

possibly in the dimensions of either the prism or the cubes.

for example, let's assume the cubes have an actual side length of 2 in (and not 12 in).

then the small (cube) volume is : 2×2×2 = 8 in³

and they will fit into the prism also shape wise.

6240/8 = 780 cubes

so, we would need 780 cubes of that size to fill the prism.

or, as another example, the cubes have a side length of 1/2 in.

then the small (cube) volume = 1/2³ = 1/8 in³

6240/(1/8) = 6240 × 8 = 49,920 cubes

in that case we would need 49,920 cubes to fill the prism.

The solution to the provided expression using the difference of square formula of algebra is a=1.

The difference of square says, the difference of the square of two terms is equal to the product of their sum and difference. It can be given as,

a^2-b^2=(a+b)(a-b)

The given expression in the problem is,

[tex]15(2a - 2) = 5(a^2 -1)[/tex]

From the property of difference of square, the above equation can be written as,

[tex]15(2a - 2) = 5[(a +1)(a-1)]\\15\times[2(a - 1)] = 5[(a +1)(a-1)][/tex]

Divide both side of the equation with (a-1) as,

[tex]5\times2 = 5(a +1)[/tex]

Divide both side of the equation with number 5 as,

[tex]2 = (a +1)\\a=2-1\\a=1[/tex]

Hence, the solution to the provided expression using the difference of square method of algebra is a=1.

Learn more about the difference of square here;

https://brainly.com/question/1148545

The solutions to 15(2a – 2) = 5(a2 – 1) are:

a = 1, a = –1

a = 5, a = –1

a = 5, a = 1

Answer:

C. a = 5, a = 1

Step-by-step explanation: