4.
In Texas, sales tax is 8 cents for every dollar spent. How much will you
owe in sales tax if you buy an item worth $100?​

The interval of points less than -4 is represented as (-∞, -4) in interval notation. This represents all the numbers to the left of -4 on the number line, not including -4.

In Mathematics, when we refer to the interval of points that are less than a given number, we are discussing a range on a number line. For the question at hand, the interval of points that are less than -4 will consist of all numbers to the left of -4 (not including -4 itself). In interval notation, we typically express this as (-∞, -4). Here, the parenthesis ( as opposed to a bracket [ ) signifies that -4 is not included in our interval. Infinity ( ∞ ) is used to show that the range extends indefinitely.

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Answer:

[tex]26[/tex]

Step-by-step explanation:

Step 1:  Divide

[tex]468 / 18[/tex]

[tex]26[/tex]

Answer:  [tex]26[/tex]

Answer

26

Step-by-step explanation:

If you divide it, it is 26 and to check you can do 18x26 and you'll get 468.

Answer:

The value of c is -8

Step-by-step explanation:

Given

[tex]\frac{-3}{4} x^2 + 2 = 0[/tex]

Required

The value of c, when written in a general form.

The general form of a quadratic equation is written as ax² + bx + c = 0

To get the general form of [tex]\frac{-3}{4} x^2 + 2 = 0[/tex], we start by converting the fraction to whole number.

This is done by multiplying both sides of the equation by the denominator of the fraction (4)

Multiply through by 4; This gives us

[tex]4 * \frac{-3}{4} x^2 + 4 * 2 = 4 * 0[/tex]

[tex]-3x^2 + 8 = 0[/tex]

From the general form of a quadratic equation, ax² + bx + c = 0 , it'll be observed that a is positive and by comparison a = -3 (in [tex]-3x^2 + 8 = 0[/tex])

So, we have to convert -3 to a positive integer by multiplying both sides of the equation by -1. This gives

[tex]-1 * -3x^2 + -1 * 8 = -1 * 0[/tex]

[tex]3x^2 - 8 = 0[/tex]

Writing [tex]3x^2 - 8 = 0[/tex] in a more general form, we have

[tex]3x^2 + 0x - 8 = 0[/tex]

By comparing ax² + bx + c = 0  to [tex]3x^2 + 0x - 8 = 0[/tex]

a = 3

b = 0

c = -8

Hence, the value of c is -8

The value of "c" in the quadratic equation -3/4x^2 + 2 = 0, when written in the general form ax²+bx+c = 0, is 2.

The question asks, "When the following quadratic equation is written in general form, what is the value of "c"? -3/4x^2 + 2 = 0". In the general form, a quadratic equation is presented as ax²+bx+c = 0. To identify the value of c in this equation, we need to compare it to the general form. The given equation, -3/4x² + 2 = 0, already matches the general form where a = -3/4 and b = 0 (since there is no x term), leaving us with +2 as the constant term. Therefore, the value of c is 2.

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

combine 2x and 4x to get 6x. Add 5 to 37 to get 42. divide the 6 and 42 to get x=7

Answer:i think 2

Step-by-step explanation: 2*2=4

Answer:2

Step-by-step explanation:2x2=4

The volume of the rectangular prism can be calculated by multiplying the base area (20cm2) with the height (9.2cm), giving a volume of 184cm3.

The volume of a rectangular prism can be calculated as the product of its base area and its height. This is a formula that mathematically represents the process of 'filling' the three-dimensional shape with tiny cubes, each having a side length of 1 cm. In this case, the given base area of the rectangular prism is 20cm2, and the height is 9.2cm.

To find the volume, you multiply these two measurements together. So, 20cm2 * 9.2cm = 184cm3. Hence, the volume of the rectangular prism is 184cm3.

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Answer:

Is 1

Step-by-step explanation:

Just got it right people. Trust me

Answer:

6

Step-by-step explanation:

Anastasia thinks of a positive integer, say x

Barry doubles Anastasia's number.

Connor trebles Barry's number.

Damion multiplies Connor's number by 6.

Total of the Four Numbers=x+2x+3x+18x=24x

To find the value of x that makes 24x the smallest  perfect square

First, express it as a product of prime factors

[tex]24x=2 X 2 X 2 X 3 X x=2^3X3Xx\\$Multiply both sides by 2 and 3 to make the powers even\\24 X 2 X 3=2^3X3X2 X 3=2^4X3^2\\$24 X [2 X 3]=144 which is a perfect square\\Therefore, x=6[/tex]

Anastasia's initial number could be denoted as 'a'. This number is modified by Barry, Connor, and Damion, and the sum of all these numbers is a perfect square. The smallest positive integer for 'a' that achieves this is 1.

Let's denote the number that Anastasia thought of as 'a'. Barry doubles this number, so his number becomes '2a'. Connor triples Barry's number, so his number becomes '6a'. Damion multiplies Connor's number by 6, so his number becomes '36a'. The total of these four numbers must be a perfect square. So the sum 'a + 2a + 6a + 36a' equals a perfect square. That simplifies to '45a', which is equal to a perfect square.

The smallest positive integer when multiplied by 45 and is a perfect square would be when 'a = 1' as 45 itself is not a perfect square. So, the smallest positive integer that Anastasia could have thought of is 1.

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Answer:

4.

Step-by-step explanation:

Hope this helps!

Answer:

k² − 4k + 4

Step-by-step explanation:

recall the following property of perfect square quadratics

(a-b)² = a²- 2ab + b²  --------------( eq1)

We are given:

k² − 4k + ? --------------(eq 2)

and we are asked to determine ? for which the expression above is a perfect square.

Manipulating the given equation:

k² − 4k + ?  (factor out 2 from the 2nd term), we get:

k² −(2)(k)(2) + ?

now we compare this with the right side of  (eq1)

a²- 2 a b + b²

we can clearly see that a = k and b = 2,

substituting this back into eq 2,

k² − 4k + 2²

= k² − 4k + 4

You may have wondered what Euler's Identity means

[tex]e^{i \pi} = -1[/tex]

I hate to break it to you but it just means

[tex]\cos \pi + i \sin \pi = -1 + 0i[/tex]

Equating respective real and imaginary parts,

[tex]\cos \pi = -1, \qquad \sin \pi = 0[/tex]

which you probably already knew.

From the first part,

[tex]\pi = \arccos(-1)[/tex]

That's in the principal value range of cosine.

[tex]\pi = \textrm{Arccos}(-1)[/tex]

Answer: π

Answer:

Im not to sure but 93

Step-by-step explanation:

if the width is 79, then 79 plus 79 is 158

and 344 minus 158 is 186

and 186 divided by two is 93

hope that helped :)

Answer:

93 yards

Step-by-step explanation:

When you have a rectanglular field, you can double the width, and then double the length, then add them together to get the perimeter.

If the perimeter is 344, and the width is 79, we can double it to find the value of 2 of the sides, because, if you are on a rectangular field, double the width, then you have to add it to the lengt doubled.

79+79=158

We can subtract 344 by 158 to get the doubled version of the length. After we find the doubled version of the length, we have to divide that by 2.

344-158=186

Now, like I said, we have to divide 186 by 2 to find how much the length is.

186/2=93

The length is 93 yards.

Answer:

0.0625

Step-by-step explanation:

Answer: [tex]4^{-2}[/tex]

Step-by-step explanation:

Equation:

[tex]4^4*4^{-7} *4^1[/tex]

When multiplying exponents with the same base, you can add the exponents together to find your answer:

4 + (-7) + 1

Answer:

Step-by-step explanation:

To answer this problem, you break the answer into two parts, one part for the true/false section and another part for the multiple-choice section.

True/False

There are 2 ways to answer each of the 4 true/false questions, T or F.

The number of ways to answer the trur/false section is [tex]2\times2\times2\times2=2^4=16[/tex].

Multiple-Choice

There are 5 ways to answer each question so the number of ways to answer this section is

[tex]5\times5\times5\times5\times5=5^6=15625[/tex]

You can answer the T/F section in 16 ways and the M/C section in 15625 ways, so the entire exam can be answered in

[tex]16\times15625=250000[/tex] ways!

It's mind-boggling that only 1 of those ways gets a score of 100%!

Answer:

125.141

Step-by-step explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg: [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]17^{2} -8.5^{2} = 216.75[/tex]

[tex]\sqrt{216.75}[/tex] = 14.72243186

Now, we use another formula to find the area of the triangle: [tex]\frac{Base*Height}{2}[/tex]

14.72243186 × 17 = 250.2813416

250.2813416 ÷ 2 = 125.1406708

Answer:

6

Step-by-step explanation:

It makes 19 copies in 3 minues and 15 seconds

3 minutes and 15 seconds is 195 seconds

195 ÷ 19 = 10 approximately which means the machine makes 1 copy every 10 seconds and 6 copies per minute

Answer: 5.846 ~ 6copies

Step-by-step explanation:

A copy machine makes 19copies in 3minutes and 15secs

How many copies in per minute

I.e how many copies per minute

Looking at this,

Convert the 3mins 15secs all into mins

I.e convert the 15secs into mins

Remember that 60secs makes 1mins

So 15secs will make x

Cross multiply

15secs ×1= 60secs ×x

X= 15/60

X= 0.25mins

Add to the already 3mins

That makes

=3mins+0.25mins

=3.25mins

Now,

19copies done in 3.25mins

Let the unknown copies be h

19copies in 3.25mins

H copies in 1mins

Cross multiply

H×3.25mins=19×1mins

3.25H=19

H=19/3.25

H= 5.846copies

H=~6copies

So the copying machine makes approximately 6copies per minute

Answer:

3/11

Step-by-step explanation:

You have to divide the factors, so you would multiply 2 times 9 over 3 times 22.  When you multiply them together you get 18 over 66. If you simplify that then you would get 3/11

Answer:

r

Step-by-step explanation:

got right on my test on edge

Answer:12, 12, 16, 22

Step-by-step explanation:

1. The number that occurs most is the mode

2. The range is the difference between the highest number and the lowest number.

3. The median in this case is the mean of the two middle numbers

A possible set of 4 numbers that fulfil the conditions of having a mode of 12, a median of 14 and a range of 10 could be: 11, 12, 12, 21.

In this problem, we need to find 4 numbers that meet the given statistical conditions - A mode of 12, a median of 14, and a range of 10. The mode is the most frequently occurring number. As there are only 4 numbers, for 12 to be the mode, it must appear at least twice. The median is the middle value when numbers are put in ascending order, so the middle numbers in our 4 number series must average to 14. Finally, the range is the difference between the largest and smallest numbers, which is stated as 10.

Using the above conditions, an example set could be: 11, 12, 12, and 21. Here, 12 is the mode (appears most frequently), 14 is the median (average of the two middle numbers 12 and 12) and 21-11 gives a range of 10.

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Answer:

1/2.

Step-by-step explanation:

There are 2 quadrilaterals which have 4 congruent sides in the list: A square and a rhombus, The square  is the one with four right angles.

So the required  probability  is 1/2.

The probability that the shape has four right angles, given that it has four congruent sides is 1/2.

Probability is the ratio that shows the likelihood of an event occurring from a given set of other events.

It is given that there are 5 shapes.

There are 2 shapes that have congruent sides. They are rhombus and square.

There are 2 shapes that have right angles. They are the square and the rectangle.

P( shape has four right angles, given that it has four congruent sides ) = number of shapes with four congruent sides and four right angles/number of shapes with congruent sides = 1/2

Therefore, we have found that the probability that the shape has four right angles, given that it has four congruent sides is 1/2.

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The parallelogram with a base of 13 inches, length of 24 inches, and height of 18 inches has an area of [tex]\(234 \, \text{in}^2\)[/tex].

Let's break down the steps to calculate the area of the parallelogram in more detail:

1. Identify the given values:

  - Base (b): 13 inches

  - Height (h): 18 inches

2. Use the formula for the area of a parallelogram:

  A = b * h

where b is base, h is height

3. Substitute the given values into the formula:

 [tex]\[ A = 13 \, \text{in} \times 18 \, \text{in} \][/tex]

4. Perform the multiplication:

 [tex]\[ A = 234 \, \text{in}^2 \][/tex]

So, the detailed steps show that the area (A) of the parallelogram is [tex]\(234 \, \text{in}^2\)[/tex]. This means that the parallelogram with a base of 13 inches, length of 24 inches, and height of 18 inches has an area of [tex]\(234 \, \text{in}^2\)[/tex].

Answer:

-2x+3y=7

or

2x-3y= -11

Step-by-step explanation:

-2x+3y= -4, which is Ax+By=C

A=-2 B=3 C=-4

m(slope)= -A/B

m= -(-2)/3

m= 2/3

y-y1= m (x-x1)

y-3= 2/3 (x-1)

Multiply by 3 cancels out the fraction

3y-9= 2 (x-1)

Distributive property

3y-9= 2x-2

-2x+3y-9= -2

From here it could go 2 ways:

1. -2x+3y= 7

or

2. 2x-3y+9= -2

so

2x-3y= -11

Hope this helps

Answer:

reflecting across y-axis

Step-by-step explanation:

I hope this helps :)

 Answer:

C

Step-by-step explanation:

(3, -1)

Answer:

Your answer would be C

Step-by-step explanation:

Hope this helped!!!

Tell me if I am wrong

Answer:

43

Step-by-step explanation:

3^3= 27

4^2= 16

27+16=43

Answer:

The value of 3 to the 3rd power + 4 to the 2nd power is 43

Step-by-step explanation:

3^3= 27

4^2= 16

27+16= 43

Answer:

choice A.  9 is the degree.

Step-by-step explanation:

5х^5 + 8х^2 + 2х - 3x^9 - 8x^4 - 4х^5

to find the degree of this polynomial, you must look for the highest number in the exponent.

Here it appears to be 9  in the -3x^9 term

Answer:

Expression for smallest doll: 12(7/10)^3

Step-by-step explanation:

Since the largest doll is 12 inches, and we need to find the expression for the smallest one, we would multiply 12 and 7/10. Secondly, there are 4 dolls. We need to find the smallest doll's height, so it would be 7/10 times 7/10 times 7/10. Which could be simplified to (7/10)^3.

For the second question, just solve the expression and that is the height of the smallest doll.

Answer: 1.54

Step-by-step explanation: all you have to do is subtract 1.79 and 25 and you will get 1.54

Answer $1.54

Step-by-step explanation:

You have to take your original amount and subtract your coupon from that

Answer:

x=-36

Step-by-step explanation:

Add the 7/2x +1/2x to be 8/2x which means that it'll be 4x=18=9/2

then subtract 9/2x on both sides so itll be

[tex]4x=18+\frac{9}{2} x[/tex]

-9/2x       -9/2x

[tex]-\frac{1}{2} x=18[/tex]   because if you do 8/2-9/2 it's -1/2

then multiply the reciprocal to both sides so

[tex](\frac{2}{-1})(-\frac{1}{2}x)=(\frac{2}{-1})(18)[/tex]

which then cancels out -1/2 and makes it

x=-36

Answer:

hope this helps you to understand