If the point (7,6) lies on the graph of y = (x - 5)2 + k, where k is some constant, which other point must also
lie on the same graph?

The actual difference between the twο temperatures is: 94 degrees F

Temperature is measure οf  degree οf hοtness οr cοldness οf  οbject οr substance. It is  physical quantity that describes average kinetic energy οf  particles that make up οbject οr substance.

Temperature is a usually measured using thermοmeter, which cοnsists οf  narrοw, unifοrm tube filled with  liquid, like mercury οr alcοhοl

Nο, Martin's calculatiοn is nοt cοrrect. The difference between twο temperatures cannοt be greater than the sum οf the twο temperatures. In this case, the difference Martin calculated is 94 degrees F, which is greater than the sum οf the twο temperatures (-12 degrees F + 82 degrees F = 70 degrees F). Therefοre, Martin must have made an errοr in his calculatiοn οr recοrded the temperatures incοrrectly.

The actual difference between the twο temperatures is:

82 degrees F - (-12 degrees F) = 94 degrees F

This cοnfirms that Martin must have recοrded οne οf the temperatures incοrrectly οr made a mistake in his calculatiοn.

To know more about Thermometer visit:

brainly.com/question/13421662

#SPJ1

Answer:

56 and 42

Step-by-step explanation:

3:4

3 + 4 = 7

98 / 7 = 14

14 x 3 = 42

14 x 4 =  56

56 + 42 = 98

The dimensions of the pool can be categorized as below:

Length equals 28 feet

Width equals 21 feet

The perimeter of a rectangle is the outside length of the rectangle. To find the perimeter we add all the 4 sides of the rectangle.

Perimeter = 2(length) + 2 (width )

The ratio of the width to the length is 3:4. The width of the rectangle is 3x  

We know,

Length of the rectangle is 4xWidth =3x  

Length = 4x

Substitute it in the perimeter formula and solve for x.

Given that,

Perimeter of a rectangle = 98 feet

Perimeter = 2(length )+2(width)

98 = 2(4x)+2(3x)

98 = 8x+6x

98 = 14x

∵ x = 7

Now, we will find out the length and width of the pool.

Length = 4x

= 4(7)

= 28 ft.

and,

Width = 3x

= 3(7)

= 21 ft.

Thus, the length of the pool is 28 feet and the width of the pool is 21 feet

Learn more information about 'Perimeter' here: brainly.com/question/89866

Answer:

The one day pass is less expensive.

Step-by-step explanation:

Add all of the rides (just use a calculator) and its 22 which is more than the pass.

Answer:

$11,008.56.

Step-by-step explanation:

6% less each year means that the car is worth (100 - 6) = 94% or 0.94 of the previous year,

The function is:

f(t) = 15000(0.94)^t   where t = the times in years.

After 5 years the value =

15000(0.94)^5

= $11008.56

The required  p-value for the given random sample of such crabs and cross-classifies them based on these variables is 0.000064321.

The p value is a number, determined from a factual test, that depicts that you are so liable to have tracked down a specific arrangement of perceptions assuming that the invalid speculation were valid. P values are utilized in speculation testing to assist with choosing whether to dismiss the null hypothesis.

Here as we are given the worth of Chi-square

measurement 21.9

Level of opportunity (r-1)(c-1) = (2-1) (4-1)

= 3

alpha = 0.05

P-value = CHIDIST(21.9; 3; misleading) =

0.000064321

I utilized succeed here

As p esteem is under 0.05 so we reject the null hypothesis.

To know more about P-value visit:

brainly.com/question/14790912

#SPJ4

Answer:

128 customers

Step-by-step explanation:

Brainliest maybe? :)

Answer:

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

  The population mean is  \(\mu = 15 \ months\)

   The sample size is  n =  25

   The sample mean is  \(\= x = 17 \ months\)

   The standard deviation is  \(s = 5.5 \ months\)

Let assume the level of significance of this test is  \(\alpha = 0.05\)

    The null hypothesis is  \(H_o : \mu = 15\)

     The alternative hypothesis is  \(H_a : \mu > 17\)

Generally the degree of freedom is mathematically represented as  

         \(df = n -1\)

=>       \(df = 25 -1\)

=>       \(df = 24\)

Generally the test statistics is mathematically represented as

        \(t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }\)

=>   \(t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }\)

=>   \(t = 1.8182\)

Generally from the student t distribution table the probability of obtaining   \(t = 1.8182\) to the right of the curve at a degree of freedom of \(df = 24\)  is  

    \(p-value = P(t > 0.18182 ) = 0.4286\)

From the value obtained we see that  \(p-value > \alpha\) hence

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is  supported by the trial results.

Answer:

Step-by-step explanation:

Me personally, I think buffets are the best because you can take as music food as you much, without being charged for much! But thats only for some buffets. If you go to a chinese buffet, they might lower the price allowing you to get as much food as you please!

The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.

Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.

Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.

We can convert the two fractions to decimal form in order to compare them.

7.375 is equivalent to 7 3/8, and

4/5 is equivalent to 0.8.

7.375 multiplied by 0.8 results in:

7.375 × 0.8 = 5.9

Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.

Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.

Know more about the term mixed fractions:

https://brainly.com/question/1055953

#SPJ1

Answer:

  AC ≅ FD by CPCTC

Step-by-step explanation:

You want to show that AC ≅ FD given triangles ABC and FED on segment BCDE with BD≅CE, AB≅FE, AB⊥BE, and EF⊥BE.

Step 2: BC +CD = CD +DE . . . . . segment addition theorem

Step 3: BC = DE . . . . . . . . . . subtraction property of equality

Step 4: ΔABC ≅ ΔFED . . . . . . . SAS congruence postulate

Step 5: AC ≅ FD . . . . . . . . . CPCTC

Congruent segments BD and CE both contain segment CD, so that segment can be subtracted to leave BC ≅ DE. The right angles at B and E mean the angle between the congruent corresponding legs is the same:

  AB≅FE, ∠B≅∠E, BD≅ED

This is the setup for claiming congruence by the SAS postulate. Since Corresponding Parts of Congruent Triangles are Congruent (CPCTC), hypotenuse AC is congruent to hypotenuse FD.

__

Additional comment

It is useful to remember there are basically 4 ways to show triangles are congruent: AAS, ASA, SAS, SSS. When the triangles are right triangles, three of these are renamed, and one is added: AAS ⇒ HA, ASA ⇒ LA, SAS ⇒ LL, and the HL theorem is added.

In this problem, we made use of the LL theorem (SAS) , since one pair of legs was already marked, and the other pair was easy to show based on the given segment congruence.

we cannot conclude that the volume of the prism is half the volume of the cylinder, twice the volume of the cylinder, or not equal to the volume of the cylinder.

How to solve the problem ?

The given information states that the cross-sectional areas of a triangular prism and a right cylinder are congruent, and both have a height of 5 units. Based on this information, we can conclude that the volumes of the two shapes may be equal, but we cannot conclude that the volume of the prism is half or twice the volume of the cylinder.

To determine the volumes of the two shapes, we need to know their respective formulas. The volume of a triangular prism is given by V = (1/2)bh, where b is the length of the base of the triangular cross-section and h is the height of the prism. The volume of a right cylinder is given by V = πr²h, where r is the radius of the circular cross-section and h is the height of the cylinder.

Since the cross-sectional areas of the two shapes are congruent, we can assume that their bases are similar. Therefore, the base of the triangular prism must be a triangle with the same area as the circular base of the cylinder. However, without further information about the shape and size of the cross-section, we cannot determine the values of b and r.

Therefore, we cannot conclude that the volume of the prism is half the volume of the cylinder, twice the volume of the cylinder, or not equal to the volume of the cylinder. The only conclusion that can be made is that the volume of the prism is equal to the volume of the cylinder, assuming that the cross-sectional areas are congruent.

To know more about volume visit:-

https://brainly.com/question/463363

#SPJ1

Answer:

First day : 30+20y

Second day : 85 + 17y

Total: 30 + 20y + 85 + 17y  This is the not simplified version.

37y+115 This is the simplified version. Hope this helps!

Step-by-step explanation:

Answer:

b. sometimes

Step-by-step explanation:

Step-by-step explanation:

the numbers of the problems =

12 × 25 = 300

each minute he can answer 2 problems

therefore, the time that he expect to finish the problems =

300/2 × 1 minute = 150 minutes

= 2 hours and 30 minutes

2 questions he can solve 1 min

per question he need 1/2min or 0.5min

Now

Total problems

Total time

Answer:

The table to the right shows ordered pairs that belong to a polynomial function. If f(x) is a cubic polynomial, which conclusion is value? f(x). -14 ... If x – 2 divides p(x) evenly, which statement must be true? ... 5. Jeremiah divided the two polynomials shown. 10x2 + 23x – 14. 2x + 1. -5 ... a) 2x3 + 4x2 – 3x.

Step-by-step explanation:

The first conclusion is correct that is the remainder of p(x) divided by (x-1) is 5 and this can be determined by using the arithmetic operations.

Given :

Polynomial  --   \(\rm p(x) = -2x^3+3x+4\)

According to the given data, P(1) = 5, which means that when 5 is subtracted from p(x) then (x-1) is one of the roots of the given polynomial equation.

Check both the options in order to determine the correct conclusion.

A) The remainder of p(x) divided by (x-1) is 5.

\(= \dfrac{-2x^3+3x+4-5}{x-1}\)

Simplify the above expression by factorizing the numerator.

\(= \dfrac{-2x^3+2x^2-2x^2+2x+x-1}{x-1}\)

\(= \dfrac{-2x^2(x-1)-2x(x-1)+(x-1)}{x-1}\)

\(=-2x^2-2x+1\)

So, yes this conclusion is correct and therefore, no need to check the second conclusion.

For more information, refer to the link given below:

https://brainly.com/question/2096984

Answer:

Step-by-step explanation:

This means that the polynomial is at least a product of two factors

and not only a single .

Answer option 1: the polynomial is not a factor

Answer:

dont know

Step-by-step explanation:

Answer:

± (1 ÷ 9)

Step-by-step explanation:

Data provided in the question

Since  3 is added to the absolute value and -9

The result is 4

Now this information should be transformed in a mathematical equation

Let us assume be x so the product of the number and -9 be -9x

Fo rthe absolute value we use the mode. Thus the required expression is:

3 + |-9x|

Given that the result is 4

So, it would be

3 + |-9x| = 4

Now Solving the above equation which is given below:

|-9x| = 4-3

|-9x| = 1

here we will remove the mode by introducing ± sign which is shown below:

-9x = ± 1

-9x = 1 or -9x = -1

x = -1/9

or

x = \(\frac{1}{9}\)

Therefore, the value of x is ± (1 ÷ 9).

The height of the kite from the ground when the angle is 50 degrees is 232 feet.

The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.

Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.

To find the height of the kite above the ground we use the trigonometric identity of tangent.

Thus, we have:

tan(50°) = h/200

Now, using cross multiplication:

h = 200 tan(50°) ≈ 232 feet

Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.

Learn more about trigonometric functions here:

https://brainly.com/question/14746686

#SPJ1

The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

For more such information on: boolean expression

https://brainly.com/question/30887895

#SPJ8

The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

Answer:

2

Step-by-step explanation:

hg

If each term in the sum a1+a2+a3...+an is  7 and the sum equals 350, C: 40 would be equal to n.

In equation form, it is:  

                  7s +  77t = 350

In this equation,

          s represents the number of 7's

          t represents the number of 77's

          thus, the number of terms i.e n = s + t =?

now solving the equation,

        7 (s + 11t) = 350

        7 (s + 11t) = 350

            s + 11t = 50

            s + 11t = 50

now, if  

       s=39     &      t =1  

then

         s + 11t = 50 -> 39 + 11 (1)  = 50

Since the number of terms n = s + t

        n = s + t

        n = 39 + 1

        n = 40

Hence, the if each term in the given sum is 7 which gives a total sum as 350, then number of terms in the given series is 40.

You can learn more about terms  at

https://brainly.com/question/11800727

#SPJ4

The equation for the first option would be

Where "x" is the number of copies and y the cost.

The second equation will be

If we graph both equations we have

As we can see, they will be equal in terms of cost with 2 copies. The cost will be 50.

We can see it at the intersection of the two graphs! we can also do it with algebra, if the costs are equal (same "y") we can say

The number of copies is 2.

Answer: 7 weeks

Step-by-step explanation:

Let x represent number of weeks

Let y represent the total amount

Amount = Paycheck deposited * number of weeks + Initial amount

y = 125x + 475

Number of weeks until she has $1350

1350 = 125x + 475

125x+475-475=1350-475

125x=875

x=7

Therefore, the student will have $1350 in her bank account after 7 weeks

Answer:

10

Step-by-step explanation:

2/9x45=10

hope this helps

Answer:

7 feet.

Step-by-step explanation:

21÷6=3.5. 3.5×2=7

x = 38

Step-by-step explanation:

(x + 6) + (3x - 16) + x = sum of angles in a triangle

(x + 6) + (3x - 16) + x = 180

(x + 3x + x ) + (6 - 16) = 180

5x +(-10) = 180

5x - 10 = 180

5x = 180 + 10

5x = 190

5x/5 = 190/5

x = 38

Answer:

x = 38 and m∠M = 98

Step-by-step explanation:

Angles in any triangle will always add up to 180 :

So angle O + Angle N + Angle M = 180

(x+6)+(3x-16)+(x) = 180

Simplify:

5x-10 = 180

Add 10 to both sides :

5x = 190

Divide both sides by 5 :

x = 38

Angle M will therefore

= 3(38) - 16
= 114 - 16

= 98

Hope this helped and have a good day

Answer:

The answer is 86  −  2 i

Step-by-step explanation:

The value of the equation is A = 86 - 2i

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = ( 7 + 5i )

Let the second number be q = ( 8 - 6i )

Now , A = p x q

Substituting the values in the equation , we get

A = ( 7 + 5i ) ( 8 - 6i )

On simplifying the equation , we get

A = 7 ( 8 ) + 5i ( 8 ) - 7 ( 6i ) - 5i ( 6i )

A = 56 + 40i - 42i - 30i²

The value of i² = -1

So , A =  56 - 2i + 30

A = 86 - 2i

Therefore , the value of A is 86 - 2i

Hence , the equation is A = 86 - 2i

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2