surface area of sphare​

Answer:

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)

Step-by-step explanation:

The given expression is -5·t² + 5·t + 24

To factorize the expression by completing the square method, we equate the expression to zero to get;

-5·t² + 5·t + 24 = 0

WE divide by -5 to get;

t² - t - 24/5 = 0

t² - t = 24/5

t² - t + 1/4 = 24/5 + 1/4

(t - 1/2)² = 5.05

t - 1/2 = ±√5.05

t = 1/2 + √5.05, 1/2 - √5.05

The factorized expression becomes;

(t - 1/2 + √5.05) and (t - 1/2 - √5.05)

Which gives;

(t - 2.747) ×(t - 1.747)

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).

Answer:

d = √10

Step-by-step explanation:

[tex]K(-1, -3) , L(0, 0).\\\\d=\sqrt{((x_2-x_1)^2+ (y_2-y_1)^2) } \\\\x_1 =-1\\\\y_1 =-3\\\\x_2 =0\\\\y_2 =0 \\\\d = \sqrt{(0-(-1))^2+(0-(-3))^2}\\\\ d = \sqrt{(0+1)^2+(0+3)^2}\\\\ d = \sqrt{(1)^2 + (3)^2}\\\\ d = \sqrt{1 + 9}\\\\ d = \sqrt{10} \\[/tex]

Answer:

[tex]\huge\boxed{|KL|=\sqrt{10}\approx3.2}[/tex]

Step-by-step explanation:

The formula of a distance between two points (x₁; y₁) and (x₂; y₂):

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

We have K(-1; -3) and L(0; 0). Substitute:

[tex]|KL|=\sqrt{(0-(-3))^2+(0-(-1))^2}=\sqrt{3^2+1^2}=\sqrt{9+1}=\sqrt{10}}[/tex]

Look at the picture.

We have the right triangle with the legs 3 and 1.

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

substitute:

[tex]3^2+1^2=|KL|^2\\\\|KL|^2=9+1\\\\|KL|^2=10\to|KL|=\sqrt{10}[/tex]

Answer:

A Yes

Step-by-step explanation:

the ratio is 2:1

Answer:

A. yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = 3x² + 1

g(x) = 1 - x

To find (f - g)(2) first find (f - g)(x)

To find (f - g)(x) subtract g(x) from f(x)

That's

(f - g)(x) = 3x² + 1 - ( 1 - x)

(f - g)(x) = 3x² + 1 - 1 + x

(f - g)(x) = 3x² + x

To find ( f - g)(2) substitute 2 into (f - g(x)

That's

( f - g)(2) = 3(2)² + 2

( f - g)(2) = 3(4) + 2

( f - g)(2) = 12 + 2

We have the final answer as

Hope this helps you

Answer:4.2 cups

Step-by-step explanation:

Just do 63 cups, divided by the 15 puppies which equals 4.2 cups! pls mark brainliest

Answer:

4.2 cups

Step-by-step explanation:

I am in the assiment and i just got it right on the assiment

Answer:

1.) 3 shovels/7 buckets

2.)7 buckets/3shovels

Answer:

Amount of material for chain link = 30 feet

Amount of material for rope = 50 feet

Step-by-step explanation:

Let the amount of chain link = X

The amount of rope be represented by Y

He bought a total of 80 feet of materials

Hence we have:

X + Y = 80 ....... Equation 1

Y = 80 - X

The chain-link cost two dollars per foot and the rope cost 1.50 per foot he spent a total of $135

X × $2 + Y × $1.50 = $135

2X + 1.5Y = 135 ......Equation 2

Substitute 80 - X for Y in Equation 2

2X + 1.5(80 - X) = 135

2X + 120 - 1.5X = 135

Collect like terms

2X - 1.5X = 135 - 120

0.5X = 15

X = 15/0.5

X = 30 feet

Substitute 30 feet for X in Equation 1

X + Y = 80 ....... Equation 1

30 + Y = 80

Y = 80 - 30

Y = 50 feet

Hence the amount of material he used for the chain link = 30 feet and the amount of material he used for the rope was = 50 feet

Answer:

Roughly 20.4%

Step-by-step explanation:

Use the formula of percent of error:

| Actual number - Guess / Actual number | (100)

The actual number is 108 and the guessed number is 86:

| 108 - 86 / 108 | (100)

= | 22/108 | (100)

= | 0.2037037037 | (100)

The vertical lines indicate absolute value.  This means that anything inside of it must be turned into its positive form.  Since it is already positive, just take the signs away:

0.2037037037(100)

≈ 0.204(100)

= 20.4

Turn this into a percent:

20.4%

Martha's percent of error is 20.4%

Please tell me if I was right or not.  I really hope this helps!

Answer:

16.91176471

Step-by-step explanation:

1725÷102

= 16.91176471

Answer:

The table gives the cost for the number of three-pound bags of clementines. you need to change the number of bags to pounds to be able to get the data for the clementines in units of pounds and cost.

Step-by-step explanation:

each of the bags are three pounds each so 1 bag times 3, 2bags times 3, and then 3bags times 3, hope this answers your question.

The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that Clementines are sold in three-pound bags, and navel oranges are sold by the pound

The table represents the cost of three-pound bags of clementines.

Number of Bags           Cost

      1                             $5.00

     2                              $10.00

      3                             $15.00

The equation c = $1.49p represents the cost of the navel oranges, where c is the cost and p is the number of pounds.

The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.

To learn more on Statistics click:

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Answer: Store D

Step-by-step explanation:

Store A - 15% off:

$150 times 15/100 = 22.5

$150 - $22.50 = $127.50 so the price at store A is $127.50

Store B - $25 coupon

$150 - $25 = $125 so the price at store B is $125

Store C - $20 rebate

$150 - $20 = $130 so the price at store B is $130

Store D - $120

$120 is the lowest so the answer is Store D

Answer:

[tex]\Large \boxed{\mathrm{Store \ D}}[/tex]

Step-by-step explanation:

Store A is offering the tablet on sale at 15% off the regular price.

150 × (1 - 15%) = 127.5

Store B is offering a $25 coupon to be deducted from the regular price.

150 - 25 = 125

Store C is offering a rebate of $20.00 to purchasers.

150 - 20 = 130

Store D has the tablet on sale for $120.00.

Store D is offering the tablet at the lowest cost.

Answer:

5

Step-by-step explanation:

-4-(3+6²)÷13-1²•(-12)=

PEMDAS

parrenthesis:

-4-81÷13-1² x (-12)

exponent:

-4-81÷12 x (-12)

multiplication:

-4-81÷ (-144)

divison:

- 4 - (- 9)

subtraction (Actaully addition +):

= 5

-(- makes plus so -4 + 9 makes 5

Hope this helps, have a good day!! :)

Answer:

Step-by-step explanation:

Since the school's parking lot is a square,

Area of a square = l²

where l is the length of one side

From the question

Area = 3025ft²

We have

3025 = l²

Find the square root of both sides

l = √3025

l = 55ft

The length of each side of the parking lot is 55ft

Hope this helps you

Answer:

u should put his is English and then translate it to read it

Answer:

x = 5

Step-by-step explanation:

The measure of an arc equals the measure of the central angle that intercepts it.

The measure of an arc intercepted by a diameter is 180 deg.

m(arc)EH = 180

m(arc)EF + m(arc)FG + m(arc)GH = m(arc)EH

10x + 8 + 67 + 11x = 180

21x + 75 = 180

21x = 105

x = 5

Answer:

79°

Step-by-step explanation:

PQO is straight angle with measure of 180°

the given angles' sum makes 101° and we need 79 to complete it to 180° therefore the angle STQ = 79°

Answer:

Ava's share = $20

Charlotte's share = $16

Step-by-step explanation:

15x + 12x = 36 : multiply each girl's age by same amount and adding gives $36

27x = 36 : add x terms

x = 36 / 27 : divide both sides of equation by 27

x = 4 / 3

Ava's share = 15x = 15 * 4/3 = 20

Charlotte's share = 12x = 12 * 4/3 = 16

Answer:

-36 = k

Step-by-step explanation:

-3 = k/12

Multiply each side by 12

-3*12 = k/12 *12

-36 = k

Answer: k= -36

Step-by-step explanation:

[tex]-3=\frac{k}{12}[/tex]

multiply both sides by 12

[tex]\frac{12k}{12}=12\left(-3\right)[/tex]

12*(-3)=-36

[tex]\frac{12k}{12}=12\left(-3\right)[/tex]

k=-36

Answer:

2

Step-by-step explanation:

Let Ishan’s age equal an unknown quantity we’ll call “x”.

An age 4 times Ishan’s would be 4 times x, written “4x”.

An age 6 years older than Ishan’s would be written “x+6”.

Now, through the magic of algebra, we can write an equation: 4x = x+6 . This means that “four times Ishan’s age is equal to his age plus six.”

The magic continues: you can subtract an”x” from each side of the equation. You can subtract any quantity from either side, but subtracting”x” will leave 6 on the right and “3x” on the left: 3x = 6.

Divide both sides by the same quantity: 3.

This will give you x =2. This indicates Ishan’s age is 2.

Answer:

Ishaan is 2 years old.

Step-by-step explanation:

We can create a systems of equations for this, assuming b is Ben's age and i is Ishaan's age.

[tex]b = 4i[/tex]

[tex]b = i+6[/tex]

Let's solve via substitution.

[tex]4i = i+6[/tex]

Subtract i from both sides:

[tex]3i = 6[/tex]

Divide both sides by 3:

[tex]i = 2[/tex]

So Ishaan is 2 years old. Ben is:

[tex]4(2) = 8[/tex] years old.

Hope this helped!

Answer: Hi!

The only thing we can do to simplify the equation is combine like terms.

5x^2 + 4x^2 = 9x^2

-2y - 7y = -9y

3 - 1 + 7 = 9

Our equation now looks like this:

9x^2 - 9y + 9

We have nothing left to simplify, so we're done!

Hope this helps!

Answer:

70 degrees

Step-by-step explanation: this is an equilateral triangle. All of its angles are the same.

Answer:

see below

Step-by-step explanation:

The hypotheses is the if part of the statement ( after the if)

hypotheses:  it is January

The conclusion is the  then part of the statement ( after the then)

conclusion  there is snow

Answer:

From scatter plot companies can predict future sales, and what will happen next. To help with this predictions most companies draw a line through the scattered plot called best-fit line. This line should be close to most of the points on the scattered line. Approximately half the point on the top of the line and half on the bottom.In this case the company will ignore the points tat far away from the line.

Scatter plots are useful to compare two variables to see how they relate to one another (if there is any relationship at all). One example could be comparing the temperature outside versus the sales of ice cream. The general trend is that the warmer it gets, the more sales you'll have. So there's an upward trend. We can also say there's a positive correlation as both variables go up together (or go down together).

Contrast this with negative correlation where one variable goes up and the other goes down (eg: hours spent watching tv versus exam score).

Of course, the ice cream example could be too simple and often overused, so it might be better to use something more specific to the company in question. If you picked a company dealing with health/medicine, then you could look at something like height versus weight and see if there's a correlation going on.

Answer:

Step-by-step explanation:

Give the equation 5x² + 27x = 14 − 13x, we are to write the steps needed to solve for x using the completing the square method.

Step 1: Rewrite the equation in a quadratic form by first adding 13x to both sides of the equation.

5x² + 27x +13x= 14 − 13x+13x

5x² + 40x = 14

Step 2: factor out the common constant in the left hand side of the equation.

5(x²+8x) = 14

Step3: The next step to take is to divide through by the the value of 5 to have;

5(x²+8x)/5 = 14/5

x²+8x = 14/5

Step 4: complete the square of the equation at the left hand side by adding the square of half of the coefficient of x to both sides i.e {1/2(8)}² which is 4²

x²+8x +4² = 14/5+4²

x²+8x +16 = 14/5+16

(x+4)² = 94/5

Step 5: Taking the square root of both sides

√(x+4)² = ±√94/5

x+4 = ±√94/5

Step 6: subtract 4 from both sides

x+4-4 = ±√94/5 - 4

x = ±√94/5 - 4

Hence the solution to the equation using completing the square method is x = -4±√94/5

Answer:

5(x2 + 8x + 16) = 94

Step-by-step explanation:

Answer:

[tex]\boxed{ x \geq 0}[/tex]

Step-by-step explanation:

Hey there!

Well we can cross out A. x is all real numbers because,

it’s not it only has all the positive numbers.

B. Is correct because the domain is every number greater than or equal to 0.

x ≥ 0

Hope this helps :)

The domain of the graph of a function is x ∈ [0, ∞) or x ≥ 0 option (B) x ≥ 0 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

A function is shown in the graph which is plotted on the two-dimensional coordinate plane.

From the graph, we can see the graph of a function exists in the first quadrant only and it is increasing.

The interval in which the graph exists is [0, ∞)

or

The domain of a graph of a function is:

x ≥ 0

Thus, the domain of the graph of a function is x ∈ [0, ∞) or x ≥ 0 option (B) x ≥ 0 is correct.

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Answer:

6 more

Step-by-step explanation:

Find 56% of 75 first

75/x=100/56

(75/x)*x=(100/56)*x      

75=1.78571428571*x      

(1.78571428571) to get x

75/1.78571428571=x

42=x

x=42

Then Find 80% of 60

60/x=100/80

(60/x)*x=(100/80)*x    

60=1.25*x      

60/1.25=x

48=x

x=48

Subtract 48 by 42

=6

Answer:

[tex]\frac{7-c}{b}[/tex]

Answer:

[tex]\frac{7 -c}{b}[/tex]

Step-by-step explanation:

Subtract c from 7 : 7 - c

Then the result is divide by b :  [tex]\frac{7 -c}{b}[/tex]