solve x^2+1/2x+_=2+_

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

Ionic bonding is a form of chemical connection in which one atom loses valence electrons and gains them from another.

Step-by-step explanation:

Answer:

288 donuts

Step-by-step explanation:

Answer:

288 donuts

Step-by-step explanation:

72 divided by 2 is 36 so that means you will make 36 donuts in 1 hour so now we have our unit rate which is 36. so then you multiply 36 by 8 and you get 288. that is your answer

El volumen remanente entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.

En esta pregunta debemos encontrar el volumen remanente entre el espacio de una caja cúbica y una esfera introducida en el elemento anterior. El volumen remanente es igual a sustraer el volumen de la pelota del volumen de la caja.

Primero, se calcula los volúmenes del cubo y la esfera mediante las ecuaciones geométricas correspondientes:

Cubo

V = l³

V = (4 cm)³

V = 64 cm³

Esfera

V' = (4π / 3) · R³

V' = (4π / 3) · (2 cm)³

V' ≈ 33.5103 cm³

Segundo, determinamos la diferencia de volumen entre los dos elementos:

V'' = V - V'

V'' = 64 cm³ - 33.5103 cm³

V'' = 30.4897 cm³

El volumen remanente entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.

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Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)

Answer:

Simplify the expression.

6 b  +  5

Step-by-step explanation:

I hope this helps! Have a great day!

Answer:

6b+5

Step-by-step explanation:

2(a-3)+4b-2(a-b-3)+5

=2a-6+4b-2a+2b+6+5

the 2as and the 6s canel out so we are left with

6b+5

So, the trade discount for 15 boxes of computer paper if the unit price is $14.26, and a single trade discount rate of 45% allowed is $96.255.

Trade discount refers to the reduction in list price known as a discount, allowed by a supplier to the consumer while selling the product generally in bulk quantities to the concerned consumer to increase the sales of the business as more customers are attracted when the discount is given on the list price of the product.

We have to calculate the trade discount for 15 boxes of computer paper.

the unit price of computer paper is $ 14.26, and a single trade discount rate is 45% allowed.

The trade discount on one unit computer paper is.

= 45%×14.26

= $6.417

now, trade discount on 15 unit of computer paper box is.

=6.417×15

=$96.255.

So, the trade discount for 15 boxes of computer paper if the unit price is $14.26, and a single trade discount rate of 45% allowed is $96.255.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

t=54×6=324

Step-by-step explanation:

Cross multiply

54×6=t

324=t

Solve for "t":

\(54=\frac{t}{6}\)

The correct solution for this equation is t = 324

Step by step solution:

⇒\(54=\frac{t}{6}\)

⇒t = 54 * 6

⇒t = 324

How will you identify a "single variable equation"?

A variable serves as a predetermined placeholder for an unknown integer. Math problems frequently employ the variables X and Y, although variables can also be represented by any other symbol or letter.

Two mathematical expressions are equalized using an equation. Depending on the expression, the terms on either side might be as straightforward as a single integer or as complicated as an expression with several variables, exponents, or other components. This equivalence may be expressed by using the equals symbol (=).

This kind of equation only has one variable and is referred to as a single variable equation. The possibility of using the variable more than once or on both sides of the equation must be kept in mind.

Therefore, the correct solution for this equation is t = 324

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Answer:

All Real Numbers

Step-by-step explanation:

The domain is all the x values for a function. As this function is not restricted in any way, the domain is all real numbers. You can put any number in for x and plot it on the graph.

Step-by-step explanation:

By using Distributive Property on 3(-x - 2),

3(-x - 2) = (3)(-x) + (3)(-2) = -3x - 6.

Since -3x - 6 =/= -3x + 6,

they are not equalized.

Hope this helps have a nice day!!!!

Answer:

x > -5, so the correct answer is C.

-10 + 5.47722~
=4.523~
round to nearest tenth = 4.5

Answer:

-4.5

Step-by-step explanation:

\(\sqrt{30}\) is approximately 5.47722557505.  You can find this number with a calculator.

-10 + 5.47722557505 = -4.52277442495

To add a negative and a positive number, you subtract the absolute values and take the sign of the number that has the larger absolute value.  Absolute value just means thinking of both numbers as positive numbers.

Helping in the name of Jesus.

To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:

1. Determine the ratio between the first and last parts. In this case, it is 2:3.

2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.

3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.

4. Multiply the value of each part by the respective ratio values to obtain the individual parts:

- First part: 2 * 6 = 12

- Second part: 6

- Third part: 6

- Fourth part: 6

- Last part: 3 * 6 = 18

Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.

Answer:

8/100

Step-by-step explanation:

The percentage 8% can be written as \(\frac{8}{100}\) as a fraction.

The percentage is a method of proportionating a given fraction out of 100. x% implies x out of 100 always. The method is used to facilitate comparison is part of a whole when the total figure differs in different cases.

Fraction, on the other hand, is simply the expression of part of a whole. The numerator referring to the part and denominator to the whole. The whole need not be 100.

The percentage 8% means 8 out of 100. Thus the fraction becomes \(\frac{8}{100}\).

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Answer: 1 3/5 divided by 3/8 is equal to 22/3 in simplest form.

Step-by-step explanation:

To express the answer to 1 3/5 divided by 3/8 in simplest form, we first need to convert the mixed number 1 3/5 to an improper fraction. To do this, we can multiply the whole number (1) by the denominator of the fraction (5) and add the numerator (3) to get:

1 * 5 + 3 = 8 + 3 = 11/5

We can then divide this fraction by 3/8 to get the final answer:

$\frac{11/5}{3/8}$

To divide fractions, we can multiply the numerator of the first fraction by the reciprocal of the second fraction:

$\frac{11/5}{3/8} = \frac{11/5}{3/8} \cdot \frac{8/8}{8/8} = \frac{11/5}{3/8} \cdot \frac{8}{3} = \frac{118}{53} = \frac{88}{15}$

Simplifying this fraction gives us:

$\frac{88}{15} = \frac{22}{3}$

Therefore, 1 3/5 divided by 3/8 is equal to 22/3 in simplest form.

The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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Answer:

a. is false

Step-by-step explanation:

4 liters= 1.057 gal

1.057 is greater than 1

Hope this helps :)

Answer:

(No rounding done.)

1. 10

2. 14.1421

3. 8

4. 6.9282

Step-by-step explanation:

To find 1, you need to use tangent. Let's say the missing side is x. You need to use tan(45) = x/10 to be able to solve. If you don't know how to do that, you just need to multiply by 10 on both sides, that way the 10 cancels out and all you get is x. Tan(45) multiplied by 10 is 10.

Now, find 2 with sine. The equation is sin(45) = 10/x. First, you need to multiply both sides by x so you get 10 alone. Now, divide both sides by sin(45) to cancel out the left side and get the answer to 2. 10/sin(45) = 14.1421 (I don't know if you need to round).

To find 3, you need to use cosine. The equation would be cos(60) = 4/x. Again, multiply both sides by x to get 4 alone. Next, divide both sides by cos(60). 4/cos(60) is 8.

To find 4, you need to use sine again. The equation is sin(60) = x/8. Multiply both sides by 8, and there's your answer. 6.9282.

Answer:

-25

Step-by-step explanation:

g(f(3))= g(-5)

=4(-5)-5

= -20-5

=-25

Answer:

\(g(f(3))=-25\)

Step-by-step explanation:

We have the two functions: \(f(x)=-2x+1\) and \(g(x)=4x-5\).

And we want to evaluate \(g(f(3))\).

So, let's evaluate f(3) first. Substitute 3 into f(x). This yields:

\(f(3)=-2(3)+1\)

Multiply and add:

\(f(3)=-6+1=-5\)

So, our expression is now:

\(g(f(3))\Rightarrow g(-5)\)

Substitute -5 for g(x):

\(g(-5)=4(-5)-5\)

Multiply and subtract:

\(g(-5)=-20-5=-25\)

Therefore:

\(g(f(3))=-25\)

Answer:

40,000 units on the first day then 18% per week

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

\(f(t) = f(0)(1+r)^{t}\)

In which r is the rate of change, as a decimal.

In this question:

The number of phones sold in thousands of units per day, in t weeks since the date of release, is:

\(f(t) = 40(1.18)^{t}\)

Since \(f(0) = 40\), it solds 40,000 on the first week.

The rate of percentage increase is:

1 + r = 1.18

r = 0.18

So an increase of 0.18 = 18% a week.

So the correct option is:

40,000 units on the first day then 18% per week

Sorry, I have to attach my solution as Brainly says it contains a link or inappropriate word when it doesn't

By the property of congruent triangles, it can be inferred that

The statement given in the fourth option is not valid.

What is congruency of triangles?

Two triangles are said to be congruent if the corrosponding sides and corrosponding angles of the triangles are equal.

There are five axioms of congruency of triangles. They are

SSS axiom SAS axiom, AAS axiom, ASA axiom, RHS axiom

In the first option

When two triangles are congruent by HL, the hypotenuse of the triangle is coming into picture. So the triangles has to be a right angled triangle

First option is correct

In the second option

When two triangles are congruent by AAS, pairs of corrosponding angles has to be congruent.

Second option is correct
In the third option

When two triangles are congruent by SSS, three sides of the triangles are congruent. So no pairs of corresponding angles are congruent.

Third option is correct.

In the fourth option,

When two right angled triangles are congruent by SAS, their corrosponding pair of acute angles are equal, not complementary.

So the statement given in the fourth option is not valid

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Answer: 102 dollars/4.5x+75

Step-by-step explanation: Your question isn't really straightforward, x x snacks for everybody to share? Please elaborate, and are they talking about the total cost, or just the cost of 6 snacks?

First, we have to take into account that if SADIE is taking her FOUR kids, there will be 5 people.

Cost of tickets is equal to $15 per one, and

5x (where x=15, per 5)

5(15)=75, and now onto the snacks

4.5x2=9, and 6/2=3, so 9x3=27, or 4.5x6=27

75+27=102

then for x snacks, if 1 snack costs 4.5 dollars than it'd be 4.5x (x number of snacks)+75 to find the total cost with tickets and all.

Accοrding tο the prοvided statement, there will be 21 favοrable results.

A cοmpοsite number is a pοsitive integer that can be fοrmed by multiplying twο smaller pοsitive integers. Equivalently, it is a pοsitive integer that has at least οne divisοr οther than 1 and itself.

A prime integer οnly has twο factοrs: οne and itself. A cοmpοund integer is made up οf at least three cοmpοnents, and οccasiοnally much mοre.

A prime number (οr a prime) is a natural number greater than 1 that is nοt a prοduct οf twο smaller natural numbers. A natural number greater than 1 that is nοt prime is called a cοmpοsite number. Fοr example, 5 is prime because the οnly ways οf writing it as a prοduct, 1 × 5 οr 5 × 1, invοlve 5 itself. Hοwever, 4 is cοmpοsite because it is a prοduct (2 × 2) in which bοth numbers are smaller than 4.

Primes are central in number theοry because οf the fundamental theοrem οf arithmetic: every natural number greater than 1 is either a prime itself οr can be factοrized as a prοduct οf primes that is unique up tο their οrder.

4, 6, 8, 9, 10, 12 - these are the cοmpοsite numbers pοssible as sum.

Favοurable number οf οutcοmes = 21 ans.

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The height of the second rectangle is 3 inches.

The rectangle has a width of 24 inches and a height of 12 inches.  A second rectangle is proportional to the first and has a width of 6 inches.

The height of the second rectangle can be found as follows:

Two variables have a proportional relationship if the ratios of the variables are equivalent.

Hence, using the proportion,

let

x = height of the rectangle

24 / 12 = 6 / x

24x = 12 × 6

24x = 72

divide both sides by 24

x = 72 / 24

x = 3 inches

Therefore,

height of the second rectangle = 3 inches

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