Hi! I really need help with this question and please help me if u can. I'll mark you as BRAINLIEST.

Answer:

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is [tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93[/tex].

Step-by-step explanation:

Any sphere centered at [tex](h,k,s)[/tex] in an Euclidean space with a radius [tex]r[/tex] is represented by the following formula:

[tex](x-h)^{2} +(y-k)^{2}+(z-s)^{2} =r^{2}[/tex]

If [tex](x,y,z) = (7,1,-3)[/tex] and [tex](h,k, s) = (5,6,5)[/tex], the radius of the sphere is obtained:

[tex](7-5)^{2}+(1-6)^{2}+(-3-5)^{2} = r^{2}[/tex]

[tex]r^{2} = 93[/tex]

[tex]r = \sqrt{93}[/tex]

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is [tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93[/tex].

Answer:

Line AB

Hope this helps!

Answer:

please mark my answer brainliest

Step-by-step explanation:

the correct name will be QP...or QR

D. Automatic withdrawal

May I have brainliest please? :)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5 + x - 6x = - 5}[/tex]

Collect like terms

⇒[tex] \sf{5 - 5x = - 5}[/tex]

Move 5 to right hand side and change it's sign

⇒[tex] \sf{ - 5x = - 5 - 5}[/tex]

Calculate

⇒[tex] \sf{ - 5x = - 10}[/tex]

Divide both sides of the equation by -5

⇒[tex] \sf{ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} }[/tex]

Calculate

⇒[tex] \sf{x = 2}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\Huge \boxed{x=2}[/tex]

Step-by-step explanation:

[tex]5+x-6x=-5[/tex]

Combining like terms.

[tex]5-5x=-5[/tex]

Subtracting 5 from both sides.

[tex]-5x=-10[/tex]

Dividing both sides by -5.

[tex]x=2[/tex]

Answer:

quantitative

Step-by-step explanation:

Weight is a continuous variable, and so the numbers of pounds gained by people in your class is quantitative.

Pounds gained by people in your class during the first month of the semester is 2. Quantitative type of data.

In Statistics, Data Types play a very crucial and important role, which needs to be understood, to apply statistical measurements correctly to your data so that we can correctly conclude certain assumptions about the data.

They are Numerical data, Ordinal data, and Categorical data.

Given, Pounds gained by people in your class during the first month of the semester can be represented as numbers so it is a numerical or

Quantitative data.

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Answer:

x= 1.5

Step-by-step explanation:

According to the question

10x = 15

x = 15 / 10

x = 1.5

Answer:

x=1.5

Step-by-step explanation:

Isolate x on one side of the equation by dividing both sides by the factor 10:

[tex]10x=15\\\frac{10\,x}{10} =\frac{15}{10}\\x=1.5[/tex]

Answer:

The answer is -0.1

Step-by-step explanation:

You just need to calculate it in a calculator

Hope it helps :)

Answer:

-23

Step-by-step explanation: Because when you are adding to negatives together, they add up forward, not backword.

======================================================

Explanation:

Check out the diagram below.

I have drawn out two number lines with the key points 28,91,93,94 marked on them. The diagram isn't to scale, but that doesn't matter. All that matters is that the numbers line up (eg: we have the two 28's line up vertically).

The first number line drawing on top shows the shading for set A. Everything in the shaded region is either smaller than 91, or larger than 93, or 93 itself. We exclude 91 due to the curved parenthesis. The square bracket says to include the 93.

For the second graph, you have two endpoints as open holes (to exclude both endpoints) and you shade everything between.

-----------

After you draw the two number line regions, you would then mark off the interval(s) that they share in common.

The notation [tex]A \cap B[/tex] means "A intersect B" which means we want to find the stuff that is in both sets at the same time.

So we'll have two pieces here. The portion from 28 to 91 is the first interval, and then the second portion runs from 93 to 94. For each interval sub-piece, the endpoints are excluded

So that leads to the final answer [tex](28, 91) \cup (93, 94)[/tex]

Divide 4 by 15:

4/15 = 0.2666666

Some of the possible rounding are: 0.267, 0.27 or 0.30

Answer:

17 inches.

Step-by-step explanation:

If the area of a rectangle is the product of its length and width, then;

Area of a rectangle = Length × Width

Given that the width of the poster is greater than 10 inches and is prime, this means and W>10

Area of the rectangle = 204in²

On substituting the values in the formula;

A = LW

204 = LW

Since W is greater than 10 and is prime, it can be between the prime numbers 11, 13 and 17. Note that L must be a whole number as well for any number to be the right answer we seek.

Let's test each values of the prime width that will give a length that is a whole number.

If W = 11

204 = 11×L

L = 204/11

L = 18.54

Since the length didn't give us a whole number, this means our width is not 11.

If W = 13

204 = L × 13

L = 204/13

L = 15.69

Also, we can see that the length is not also a whole number for the value of 13 as the prime width.

If W = 17

204 = L × 17

L = 204/17

L = 12

It can be seen that the length of the rectangle gave us a whole number when we used the prime width of 17, hence the width of the poster that is greater than 10 inches and is prime that makes both length and width to be a whole number is 17 inches.

Answer:17 inches

Step-by-step explanation:

312 ft²

3 rectangles

2 triangles

4 yd = 12 ft

A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2

= 48ft² + 96ft² + 120ft² + 48ft²

= 312 ft²

Answer:

336

Step-by-step explanation:

Got it right

You are welcome :)

Answer:

6v⁴ - 5v - 15

Step-by-step explanation:

Step 1: Write out expression

-8v + 6v⁴ - 8 + 3v - 7

Step 2: Combine like terms (v)

6v⁴ - 5v - 8 - 7

Step 3: Combine like terms (constants)

6v⁴ - 5v - 15

Answer:

Step-by-step explanation:

Answer:

36 individual white socks

38 individual black socks

Step-by-step explanation:

Pairs of socks = 74

He has 1 more pair of white socks than black socks.

Take the colors of the socks to be white and black

Let

Black pairs of socks = x

White pairs of socks = x + 1

Individual socks of each color

A pair of white socks = 2 Individual white socks

= 2white

A pair of black socks = 2 individual black socks

= 2black

Total pairs of socks = black pairs of socks + white pairs of socks

74 = 2white + 2black

74 = 2(x) + 2(x +1)

74 = 2x + 2x + 2

74 = 4x + 2

Subtract 2 from both sides

74 - 2 = 4x

72 = 4x

Divide both sides by 4

x = 72/4

= 18

x = 18

Pairs of white socks = x = 18

A pair of white socks = 2whites

= 2(18)

= 36 individual white socks

Pairs of black socks = x + 1

= 18 + 1

= 19 pairs

A pair of black socks = 2black

= 2(19)

= 38 individual black socks

Answer:

23

Step-by-step explanation:

1

14

+ 9

--------

2 3

hope this helps

The depth of Sam's from the surface is 23 feet.

We are given that Ben and Sam are diving in a lake.

Ben and Sam are 14 feet below the surface.

But after a while, Ben spots Sam 9 feet directly below him.

We have to find sam's depth from the surface.

Let the depth at which both Ben and Sam were diving in the lake be X.

i.e X = 14 feet.

Let the depth of Sam from Ben be Y.

i.e Y = 9 feet.

Now Sam's depth from the surface would be:

= X + Y

= 14 + 9

= 23 feet.

Thus, the depth of Sam's from the surface is 23 feet.

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Answer:

[tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

Step-by-step explanation:

The given data set is

45, 47, 23, 30, 27, 31, 21, 31, 22, 38

Arrange the data is ascending order.

21, 22, 23, 27, 30, 31, 31, 38, 45, 47

Divide the data in 4 equal parts.

(21, 22),23, (27, 30),( 31, 31), 38, (45, 47)

Now,  

Minimum value = 21

First quartile, [tex]Q_1=23[/tex]

Median, [tex]M=\dfrac{30+31}{2}=30.5[/tex]

Third quartile, [tex]Q_3=38[/tex]

Maximum value = 47

Therefore, the five-number summary for the given data set is [tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

Answer:my profile pic is a throwing dart not a ding dong dirty

Step-by-step explanation:

Step-by-step explanation:

Use segment addition/subtraction:

GK = GJ − HJ + HK

GK = 2x + 5 − x + 4x − 1

GK = 5x + 4

If GK = 39, then the value of x is:

39 = 5x + 4

5x = 35

x = 7

Use segment subtraction to find GH and JK.

GH = GJ − HJ

GH = 2x + 5 − x

GH = x + 5

GH = 12

JK = HK − HJ

JK = 4x − 1 − x

JK = 3x − 1

JK = 20

Answer:

he could by 2 pounds and still have a dollar left over because

15 11 6

-4 -5 -5 so yeah

11 6 1

Answer:

h(1) = 1, h(2) = 3, h(3) = 4

Step-by-step explanation:

Given function h(x)

Need to find :

h(1) falls under the second condition as -2 ≤1<2:

h(2) and h(4) fall under the third condition as x=2,4 ≥ 2:

Answer:

A (12, 24)

Step-by-step explanation:

The pattern in the ordered pair is (Add 3, Times itself)

a≈18

V Volume

5832=18

Answer:

7/10x hope it helps

Answer:

1119744

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

[tex]\frac{6^{14}}{(2^5)(3^7)}[/tex]

Step 2: Evaluate exponents

6¹⁴ = 78365164096

2⁵ = 32

3⁷ = 2187

Step 3: Replace

[tex]\frac{78364164096}{32(2187)}[/tex]

Step 4: Multiply

[tex]\frac{78364164096}{69984}[/tex]

Step 5: Divide

1119744

Answer:

Step-by-step explanation:

y - 5 = 8

y = 13

Answer:

(2/3)^2

Step-by-step explanation:

A simplification of the expression 4/9 to the second power is [tex](\frac{2}{3} )^2[/tex]

In Mathematics and Geometry, an exponent is a mathematical operation that is commonly used in conjunction with an expression, so as to raise a given quantity to the power of another.

Mathematically, an exponent can be modeled by this mathematical expression;

[tex]b^n[/tex]

Where:

the variables b and n are numerical values, letters, or an expression.

n is known as a power.

By applying the law of indices for powers (division) to the given equation, we would have the following simplified expression:

[tex]\frac{4}{9} =\frac{2^2}{3^2} \\\\\frac{4}{9} =(\frac{2}{3} )^2[/tex]

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Answer:

yes, the subtracting of two rational numbers is like subtracting two fractions, and the result will always be a fraction which is a rational number. (All rational numbers is a number that can be represented as a fraction)

Step-by-step explanation:

Answer:

The square root of numbers like 4, 9, and 16 is a square number.