What is the solution to this inequality?
7x - 4< 4(x+3)

Answer:

20 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]\displaystyle d_2 = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

Let W(-6, -8) be (x₂, y₂) and X(6, 8) be (x₁, y₁).

Substitute and evaluate:

[tex]\displaystyle \begin{aligned}d & = \sqrt{(-8-8)^2 + (-6-6)^2} \\ \\ & = \sqrt{(-16)^2 + (-12)^2} \\ \\ & = \sqrt{400} \\ \\ & = 20 \end{aligned}[/tex]

Therefore, the distance between the two points is 20 units.

Answer:

HCF = [tex](x + 1)[/tex]

Step-by-step explanation:

A common factor is a factor that is shared by two or more numbers (or, in this case, polynomials). The highest common factor (HCF) is found by finding all common factors of the two expressions and selecting the largest one.

Find HCF of [tex]2x^5-4x^4-6x \ \ \textsf{and} \ \ x^5+x^4-3x^3-3x^2[/tex]

Factor [tex]2x^5-4x^4-6x[/tex]

Factor out common term:  [tex]2x(x^4-2x^3-3)[/tex]

Factor [tex]x^4-2x^3-3[/tex]:  [tex]2x(x+1)(x^3-3x^2+3x-3)[/tex]

Factor [tex]x^5+x^4-3x^3-3x^2[/tex]

Factor out common term:  [tex]x^2(x^3+x^2-3x-3)[/tex]

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

Therefore, from inspection the HCF = [tex](x + 1)[/tex]

Answer:

9

Step-by-step explanation:

Use Pythagoras’ theorem;

the hypotenuse is 15:

one side that isn't hypotenuse is 12:

[tex]a^2 +12^2=15^2\\= a=225-144\\a=81\\\sqrt{81}=9[/tex]

Answer:

Legally, corporations must have a credit balance in Retained Earnings in order to declare a dividend. Practically, a corporation must also have a cash balance large enough to pay the dividend and still meet upcoming needs, such as asset growth and payments on existing liabilities.

Answer:

6m

Step-by-step explanation:

Combining like terms, we have

3m + 2m + m = (3 + 2 + 1)m = 6m.

Answer:

volume of this sphere is 4.19 cm³

Explanation:

volume of sphere: [tex]\frac{4}{3}[/tex]πr³

Here the radius of the sphere is 1 meter.

Using the formula:

[tex]\frac{4}{3}[/tex] * 3.14 * 1³

4.19 cm³

Answer:

[tex]{\purple{\boxed{4.19}}}[/tex] cubic meters.

Step-by-step explanation:

DIAGRAM :

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bf{1\ m}}\end{picture}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Here's the required formula to find the volume of sphere :

[tex]\longrightarrow{\pmb{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}}[/tex]

Substituting all the given values in the formula to find the volume of sphere :

[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}[/tex]

[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1)}^{3}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1 \times 1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 1}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{12.56}{3}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} \approx 4.19}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{V_{(Sphere)} \approx 4.19 \: {m}^{3}}}}}}[/tex]

Hence, the volume of sphere is 4.19 m³.

[tex]\begin{gathered}\end{gathered}[/tex]

LEARN MORE :

[tex]\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}[/tex]

[tex]\rule{300}{2.5}[/tex]

Answer:2

Step-by-step explanation:So the tides connection so therefore the magnetically magnetic magnitude yeah

Answer:

Cassidy has 4 in of string left.

Step-by-step explanation:

I hope it helps! Have a great day!

Lilac~

Answer:

Step-by-step explanation:

4 inches

2 quarters, 3 dimes, 3 nickels, and 5 pennies equals

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object

1 dollar = 4 quarters

1 dollar = 10 dimes

1 dollar = 20 nickels

1 dollar = 100 pennies

We have to calculate the total dollar measurement of 2 quarters, 3 dimes, 3 nickels, and 5 pennies.

4 quarters = 1 dollar

2 quarters = 2/4 dollars

                 = 0.5 dollars

10 dimes = 1 dollar

3 dimes = 3/10 dollar

              = 0.3 dollar

20 nickels = 1 dollar

3 nickels = 3/20 dollar

               = 0.15 dollar

100 pennies = 1 dollar

5 pennies = 5/100 dollar

                  = 0.05 dollar

Total currency value = 0.5 dollars + 0.3 dollar + 0.15 dollar + 0.05 dollar

                                   = 1 dollar

Hence the total worth of coins given is 1 dollar.

Learn more about Currency Units here :

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Answer:

KL // MN & KN // LM

Step-by-step explanation:

One property of parallelogram is every two opposite sides are parallel to each other and if a two lines (sides) are parallel so they must have the same slope.

In the parallelogram KLMN:

using the slope formula = y2-y1/x2-x1

plug the numbers: KL // MN & KN // LM so KLMN is a parallelogram

0.7 Liters, then 2,000mil, Lastly, 4.1 Liters

Answer:

18.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

Your first step is to figure out which variable you want to cancel out.

Luckily, all these problems have x or y already set up to eliminate.

You can find these variables because they are opposite signs of each other, such as -x and x

Add the y's together and the #'s on the other side together, then solve to find the 2nd variable. Once you find one, you can plug that answer into the easier of the two equations and solve for the other variable.

Answer:

He shall pay $18 to buy the shirts.

Step-by-step explanation:

each shirt cost after sale: $11 - $9 = $2

then 9 shirts for 9 players would cost: $2 * 9 = $18

For the shirts for his soccer squad, Robert will spend a total of $18 to buy the shirts for his soccer team.

Given that;

Robert is purchasing shirts for his weekend soccer team.

And, The shirts he wants to buy are normally $11 each but are on sale for $9 off.

The shirts are originally priced at $11 each, and they are on sale for $9 off.

Therefore, the discounted price per shirt is,

$11 - $9 = $2

Since Robert has a total of 9 players in his team, he needs to buy 9 shirts.

Hence, the total amount he will spend,

Total amount = Number of shirts × Discounted price per shirt

Total amount = 9 shirts × $2/shirt

Total amount = $18

Therefore, Robert will spend a total of $18 to buy the shirts for his soccer team.

Learn more about the multiplication visit:

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Answer:

0.625 tons or 5/8 tons

Step-by-step explanation:

(5/2)/4

0.625 tons or 5/8

Answer:

  5/8 ton

Step-by-step explanation:

1/4 of 5/2 ton is on each tire, so the weight it is bearing is ...

  (1/4)(5/2 ton) = 5/8 ton

Each tire is bearing 5/8 ton.

_____

Additional comment

If that is a US short ton (2000 lb), then the weight on each tire is 1250 pounds. If the tires are inflated to 50 pounds per square inch, then the area of rubber on the road at each tire is 1250 lb/(50 lb/in^2) = 25 in^2. That's the size of a 5-inch square.

Step-by-step explanation:

Given - 10 - 11i

1st requirement - conjugate

Z = X + Yi

Change the sign between x & yi to find the conjugate of a complex

number.

Z = 10 + 11i

Now multiply the conjugate & the 1st complex number

=10-11i × 10+11i

= (10 × 10)+ (10× 11i)+ (-11i × 10) + (-11i × 11i)

Recall that i = √-1

= 100 + 110i - 110i + (-(-(11 × 11))...since √-1 × √-1 = -1.

= 100 + 121

= 221.

Answer:

thise day is

Tuesday

February 17 2022

Saturday

Answer:

3052. 08

Step-by-step explanation:

volume = 4/3πr^3

= 4/3π*(9)^3= 3052.08 in^3

Answer:

She can run 3 miles in her time limit.

Step-by-step explanation:

Suzie is going to run for 32 minutes. She run 1 mile in 5 minutes and she cools off for 7 minutes

5+7=12 minutes

she runs 1 mile needs 12 minutes total

32÷12=2⋯8

8-5=3 minutes

2+1=3      3×1=3 miles

She can run 3 miles in her time limit.

{Distance=Time × speed}

Answer:

7

Step-by-step explanation:

7 is the most common roll with two six-sided dice.

Answer:

Yes, I've heard about the newspaper editor

Answer:

0.06625

Step-by-step explanation:

Answer:

0.06625

Step-by-step explanation:

Terminating Decimal: A decimal that has an end.

To convert 53/800 into a terminating decimal, we simply divide 53 by 800.

Have a lovely rest of your day/night, and good luck with your assignments. ♡

Answer:

1 chain = 12 pounds

4 inches = x

4×12=49

= 50

Answer:

x = 56/3

PS = 103/3

Step-by-step explanation:

Perimeter:  (4x + 1) + 2(2x - 3) + (4 + 4 + 4x + 1) = 228

Collect and combine like terms:  12x + 4 = 228

Subtract 4 from both sides:  12x = 224

Divide both sides by 12:  x = 56/3

PS = (2 x 56/3) - 3 = 103/3

Answer:

[tex]112in^{2}[/tex]

Step-by-step explanation:

to find the area of the square we multiply the base x height so 10x10 which equals 100in^2.

to find the area of the triangle we multiply the base x  height divided by 2 so to find the base 10-6 will give us the dotted line which equals 4. to find the height of the triangle we take 16-10 which equals 6. to find the area of the triangle we multiply 6x4/2 to make 12 in^2. to find the total area we add the triangle plus the square 100+12=112in^2

Answer:

x=70°

Step-by-step explanation:

y=350° (angle inside triangle equal to 35°)

x=180-y-(180-105)

x=70°

Hope it helps!

Solution:

We can see that two lines are parallel, intersecting a line. We can also see a triangle formed with the lines.

The measure of x is 70°.

Answer:

Largo = 62m

Ancho = 54m

Step-by-step explanation:

[tex]P=232m\\ b=(x+8)\\ h=x[/tex]

[tex]P=2(h+b)\\ P=2(x+(x+8))\\ P=2(2x+8)\\ P=4x+16[/tex]        →         [tex]4x+16=232\\ 4x=232-16\\ 4x=216\\ x=\frac{216}{4}[/tex]

[tex]b=54m[/tex]              [tex]x=54m[/tex]

[tex]b=x+8=(54)+8[/tex]

[tex]b=62m[/tex]

Answer:

Step-by-step explanation:

According to intersecting secants theorem we have:

Correct choice is B

Answer: