helppppppppppppppppppppppppppppppppppppppp

Answer:

16x^2=49           square root both sides

4x=7

x=7/4

Answer:

the answer is one solution

Answer:

One solution

Step-by-step explanation:

y=2x+7

y=3x-1   (Multiply this by -1)

-y = -3x + 1

y=2x+7

0 = -x + 8

-x = -8

x = 8

y=2x+7

y= 2(8)+7

y = 16 + 7

y = 23

(8, 23)

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Null hypothesis : \(H_{0} : p=0.25\)

Alternative hypothesis : \(H_{a};p\neq 0.25\)

Given : A genetic experiment with peas resulted in one sample of offspring that consisted of 429 green peas and 159 yellow peas.

i.e. p=159/429=0.3706

For 95% level of confidence interval , significance level :

Critical value of z =\(Z_{a/2}\)=1.96

Confidence interval for population proportion :

p±\(Z_{a/2}\)\(\sqrt{\frac{p(1-p)}{n} }\)

=0.37±(1.96)\(\sqrt{0.37(1-0.37)/429\)

=0.37±0.045687

=0.37±0.05

(0.32, 0.12)

Since 0.25 is not contained in the confidence interval , it means is not reasonable that the true proportion is 0.25 (25%).

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The physiological responses that occur in response to low blood levels of calcium are bones release calcium into the blood, the kidneys retain more calcium, intestines absorb more calcium

Calcium is a chemical element which plays an important role in building and maintaining strong bones. It also plays other significant roles in blood clotting, muscles contraction, and normal heart rhythms regulation, and nerve functions. Calcium ions are essential in several cellular processes and the body tightly regulates calcium levels within a narrow physiological range as relatively small changes can have dramatic effects, including heart failure, muscle and brain dysfunction, and even death. Blood calcium levels are regulated by parathyroid hormone (PTH), produced by the parathyroid glands. PTH is released in response to low blood calcium levels and improves calcium levels by targeting the skeleton, the kidneys, and the intestine. The physiological responses that occur in response to low blood levels of calcium are bones release calcium into the blood, the kidneys retain more calcium, intestines absorb more calcium

Note: The question is incomplete as it is missing options which are a) liver releases calcium into the blood. b) bones release calcium into the blood. c) kidneys retain more calcium. d) intestines absorb more calcium.

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Answer:

the answer is 18000

Step-by-step explanation:

900 gallons multiply 20

so our answer is =18000

Answer:

18000

Step-by-step explanation:

Answer:

Exact Form:

2 √ 34

Decimal Form:

11.66190378

The distance between points (-7, 8) and (2, 8) is 9 units.

The distance d between two points \((x_{1},y_{1}),(x_{2},y_{2})\) is,\(d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }\)

For given question,

Let \((x_{1},y_{1}) = (-7,8),(x_{2},y_{2})=(2,8)\)

Let d be the distance between two points.

Using distance formula,

\(d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}\)

\(d=\sqrt{(2-(-7))^{2}+ (8-8)^{2} }\)

\(d=\sqrt{(2+7)^{2}+0^{2}\)

\(d=\sqrt{9^{2}+0 }\)

\(d=9\)  units

Hence, the distance between points (-7, 8) and (2, 8) is 9 units.

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The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4

Step-by-step explanation:

Let M = Mom's age, D = Dad's age, F = Fritz's age, A = Adele's age and E = Erika's age.

Given that

1) Mom is 8 years younger than Dad, we have D = M + 8   (1)

2) Dad is 2 times as old as Fritz. D = 2F   (2)

3) Adele is 4 years old. A = 4     (3)

4) Fritz's age plus Adele's age equals Erika's age. F + A = E   (4)

5) Mom was 24 when Erika was born. M = E + 24    (5)

6) In 9 years, Mom will be twice as old as Erika will be. M + 9 = 2(E + 9)   (6)

Substituting (5) into (6), we have

E + 24 + 9 = 2(E + 9)

E + 33 = 2E + 18

subtracting E from both sides, we have

2E - E + 18 = 33 + E - E

E + 18 = 33

subtracting 18 from both sides, we have

E + 18 - 18 = 33 - 18

E = 15

M = 15 + 24 = 15 + 24 = 39

From (4) F = E - A = 15 - 4 = 11

From (1) D = M + 8 = 39 + 8 = 47

So, their ages are Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4

i cant give you the answer but i know how u can figure it out, go to g00gle calculator or look up "Algebra Calculator"....you wont regret it!!!

you have to try to find a fraction that is similar to the first. so 7/14 and 5/10, 6/12, 4/8, 3/6, 2/4, 1/2, so on and so forth. so x can equal any number related to 7/14.

The solution is :

There are 240 students in the school.

Here, we have,

Givens

55% of the total number of students in a school are girls.

Equation

55/100 * x = 132

Solution

Multiply both sides of the equation  by 100

55/100x * 100  = 132 * 100

55x = 13200                        [  Divide by 55  ]

55x/55  = 13200/55

x = 240

Hence, The solution is :

There are 240 students in the school.

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complete question:

Of the students at milton middle school, 132 are girls. if 55% of the students are girls, how many total students are there at milton middle school?

If a bank receives a new deposit of $15,000, the bank can lend out $13,785.

The required reserve ratio is the fraction of deposits that banks must hold as reserves. If the current required reserve ratio is 8.1% and a bank receives a new deposit of $15,000, they can lend out $13,785.

The bank can lend out the amount equal to the deposit minus the required reserve amount. In this case, the new deposit is $15,000 and the required reserve ratio is 8.1%, so the calculation is as follows:

Required reserve amount = Deposit × Required reserve ratio

Required reserve amount = $15,000 × 0.081

Required reserve amount = $1,215

The bank must hold $1,215 as required reserves and can lend out the remaining amount:Amount available for lending = Deposit − Required reserve amount

Amount available for lending = $15,000 − $1,215

Amount available for lending = $13,785

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Answer:

12 pigs and 20 chickens

Step-by-step explanation:

Chicken = 2 legs

Pig = 4 legs

(15 * 4) + (17 * 2) = 88                          NO

(12 * 4) + (20 * 2) = 88                         Yes, and 12 + 20 = 32

The circulation of the field f around the closed curve c is 0.

To calculate the circulation of the field f around the closed curve c, we need to evaluate the line integral of f around c. We can do this using the following formula:

∮c f · dr = ∫₀²π f(r(t)) · r'(t) dt

where r(t) is the parameterization of the curve c, r'(t) is the derivative of r(t) with respect to t, and f(r(t)) is the field evaluated at the point r(t).

First, let's find r'(t):

r(t) = 7 cos t i + 7 sin t j

r'(t) = -7 sin t i + 7 cos t j

Next, let's evaluate f(r(t)):

f(r(t)) = \(-x^2 y i - xy^2\) j

= -49 \(cos^2 t sin t i - 49 cos t sin^2\) t j

Now, we can plug in r'(t) and f(r(t)) into the line integral formula:

∮c f · dr = ∫₀²π f(r(t)) · r'(t) dt

= ∫₀²π (-49 \(cos^2 t sin t i - 49 cos t sin^2 t\) j) · (-7 sin t i + 7 cos t j) dt

= ∫₀²π \(343 cos^3 t sin^2 t dt + 343 cos^2 t sin^3 t dt\)

= 0

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Answer:

Step-by-step explanation:

Using PEMDAS order of operations:

ParnthesesExponentMultiplyDivideAddSubtract:

10 2 - 2 (8) + 11

(I am assuming that you mean 10 * 2):

10 * 2 - 2 (8) + 11

= 20 - 16 + 11

= 4 + 11

= 15.

Answer:

-1.6

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

If there are 13 girls in a class of 23, we can assume there are 10 boys. If 4 girls play chess and there are 10 pupils who play chess, we can guess that the remaining 6 are boys. If there are 10 boys, and 6 of them play chess, there are 4 who do not.

It would take approximately 6 minutes to travel through the thickest oceanic crust at a speed of 100 km/hr.

To determine the time it would take to travel through the thickest oceanic crust at a speed of 100 km/hr, we need to know the thickness of the oceanic crust.

The oceanic crust is the outermost layer of the ocean floor and is generally thinner than the continental crust. On average, the thickness of the oceanic crust ranges from 5 to 10 kilometers (km). However, the thickness can vary depending on the specific location and geological factors.

Assuming we consider the thickest part of the oceanic crust, which could be up to 10 km thick, we can calculate the time it would take to travel through it at a speed of 100 km/hr.

Using the formula Time = Distance / Speed, we can determine the time as follows:

Time = (Thickness of Oceanic Crust) / (Speed)

Time = 10 km / 100 km/hr = 0.1 hr

Converting 0.1 hour to minutes, we have:

Time = 0.1 hr * 60 min/hr = 6 minutes

The correct answer is D. 6 minutes. This calculation is based on the assumption that we are considering the thickest part of the oceanic crust, which is approximately 10 km thick. It's important to note that the actual thickness of the oceanic crust can vary, and the time required would depend on the specific thickness encountered during the journey.

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Rectangular area A = 28 ft x 18 ft

. A = 504 ft2

Quarter paint area Q = 85 ft2

Then divide A/Q = 5.92 = 5 + 0.92

In consecuence are needed 5 quarters of paint, that costs

5x 12.50 = 62.5

Add a fraction of 0.92 ,that costs. 0.92 x12.50 = 11.5

Then Carrie have to pay

62.5 + 11.5 = 74

Answer is $ 74 dollars

Answer:

725 Boxes of Popcorn

Step-by-step explanation:

You can do it simply by just typing in the calculator 4893.75÷6.75.

But I can show my work. Picture below

The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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Step-by-step explanation:

Let the number is n.

The product of n and 10 is:

The inequality is 0.15x ≤ 5.00. If copies of a flyer at a store that charges $0.15 per copy, the maximum number of copies you can afford to make is 33.

The inequality that represents the number of copies you can make is:

0.15x ≤ 5.00

Here, x represents the number of copies you can make, and 0.15 is the cost per copy in dollars. The inequality states that the total cost of copies must be less than or equal to the amount of money you have.

To find the maximum number of copies you can afford to make, we need to solve for x:

0.15x ≤ 5.00

x ≤ 5.00/0.15

x ≤ 33.33

Since you cannot make a fraction of a copy, the actual number of copies you can make is 33 or less.

In conclusion, the inequality that represents the number of copies you can make is 0.15x ≤ 5.00, and the maximum number of copies you can afford to make is 33.

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You have $5.00 and you need to make copies of a flyer at a store that charges $0.15 per copy. Find the inequality that represents the number of copies you can make. Use x as the variable. What is the maximum number of copies you can afford to make?

Answer:

infinite

Step-by-step explanation:

the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite

                            -hope this helps-

Professor Rodgers can select the group of 4 students in 11880 ways.

Here the professor has to select 4 students from a group of 12. hence we see that

to select the first student, the professor can do so in 12 ways.

To select the second student, the professor now has 11 students left. Hence he can do in 11 ways.

To select the third student, he is left with 10 students, hence the thirst student can be selected in 10 ways

The fourth student can be selected in 9 ways.

Hence, Professor can select the group in 12 X 11 X 10 X 9 ways

= 11880 ways.

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We know that

\({\boxed{\sf Slope_{(m)}=\dfrac {y_2-y_1}{x_2-x_1}}}\)

\(\qquad\quad {:}\longrightarrow\tt m=\dfrac {3-2}{7-0}\)

\(\qquad\quad {:}\longrightarrow\tt m=\dfrac {1}{7}\)

\(\therefore \sf Slope\:of\:the\:line\:is\:\dfrac {1}{7}\)

Answer:

y = -x - 2

Step-by-step explanation:

Write an equation in slope-intercept form for the line with a slope of -1 and a y-intercept of -2.

slope-intercept form: y = mx + b where m = slope and b = y-intercept

when:

slope of -1

y-intercept of -2

then:

y = -1x + (-2)

y = -x - 2

Answer:

y= -x-2

Step-by-step explanation:

y=mx+b

slope=m

y intercept=b

m= -1

b= -2

input values of m and b to get equation:

y=(-1)x+(-2)

y= -1x-2

y =  -x-2

y= -x-2

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Answer:

12t^-6

Step-by-step explanation:

-4 + - 2 = - 6

2*6 = 12