What is the distance around the perimeter of the garden?
O 60 ft
O 60v3 ft
O 120 ft
O 120v3 ft

Answer:

In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. If ∠ A \angle A ∠A is an angle, then. \angle A \cong \angle A. ∠A≅∠A.

...

Reflexive property in proofs.

StatementsReasons3. a c = b c ac=bc ac=bc3. Substitution property of equality

Answer:

The Money Invested At age 25 earns more because it earns more Interest As compare to The Money Invested At age 40.

Step-by-step explanation:

According To the Question,

Thus, The Money He will have at age of 65 would be, [tex]$1,500 * (1.08)^{40}[/tex] = 32586.78$ . Here The Interest Earn in 40 Year Is 31086.78$.

Thus, The Money He will have at age of 65 would be, [tex]$1,500 * (1.11)^{25}[/tex] = $20378.20 . Here The Interest Earn in 25 Years Is 18878.20$.

⇒ Now, it is understood that the same amount invested for different periods of time & with a different interest rate, Since The Amount who get more Interest Would earn More. hence, The Money Invested At age 25 earns more because it earns more Interest As compare to The Money Invested At age 40.

Answer:

i dont know

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

well, 9 +(-6) = 3

so the equations last part is changed, but the rest stays the same

The  range of (f + g)(x) is (f + g)(x) > 3 for all values of x.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Gives are two function, f(x) = |XI + 9 and g(x) = -6, we need to find the range of (f + g)(x),

f(x)=|x|+9 and g(x)= -6

Taking the sum of the functions:

f(x) + g(x) = |x|+9  + (-6)

f(x) + g(x) =  |x|+9 - 6

f(x) + g(x) =   |x|+3

Due to the modulus of x which is positive,

Hence (f + g)(x) is greater to 3 for all values of x

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Answer:

6

Step-by-step explanation:

a1(n-1) + D

d = 6

Answer:

30058.49

Step-by-step explanation:

b/c when u multiply it in hundredth u can get your answer

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

[tex]f(x) = \dfrac{1 + 2\cdot x}{x}[/tex]

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

[tex]\dfrac{1 + 2\cdot x}{x} = 2 + x[/tex]

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

Answer: a , b

Step-by-step explanation:

Answer:

0.00026579909 is what 25 divided by 94,056 equals

Answer:

2 > w ≤ 7

Step-by-step explanation:

Answer:

6x -14

Step-by-step explanation:

x^3-7x^2+36​

Take the first derivative

3x^2 -14x

Now take the derivative again

6x -14

Answer:

6x - 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x³ - 7x² + 36

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

The smallest increment is 10 V and the uncertainty is 5 V.

Answer:

DESCRIPTION: Large for a modern amphibian, the male California tiger salamander can reach up to 8.5 inches in length, the female up to seven. Adults have protruding eyes and long tails, and their slick bodies are mostly black with brilliant yellow spots and stripes on their back, sides, and tail. Larvae are greenish gray in color.

HABITAT: California tiger salamanders can be found in annual grasslands and oak woodlands with hot, dry summers and cool, rainy winters. For most of the year, they reside in underground burrows created and abandoned by small mammals. They need ephemeral pools for breeding.

RANGE: Historically these salamanders ranged throughout California's Sacramento and San Joaquin River valleys, the surrounding foothills, and the lower elevations of the state's central coast. Now their distribution is limited to disjunct vernal pool complexes in the northern part of their historical range. The northernmost and southernmost populations, residing in Sonoma and Santa Barbara counties respectively, are genetically distinct and geographically isolated from others.

MIGRATION: Once fall and winter rains begin, adult tiger salamanders emerge from underground hibernation habitat in mammal burrows and migrate to breeding ponds. After breeding, adults disperse back to uplands habitat to retreat underground. Adults may migrate long distances between summering and breeding sites: salamanders have been found along roads more than 1.2 miles from any known breeding ponds. Juvenile salamanders dispersing from ponds have been trapped more than 1,200 feet from their natal ponds.

BREEDING: Following early-winter rains, California tiger salamanders nocturnally emerge from their burrows and lay their eggs in newly formed vernal pools. After the eggs are fertilized internally, a female can lay up to 1,300, which she deposits individually or in small batches. Adults move back to their terrestrial burrows after breeding.

LIFE CYCLE: Within two weeks of egg fertilization, salamander larvae hatch, remaining in their natal pools for two to three months. By late spring or summer, once they reach metamorphosis, juveniles roam up to two miles away to hibernate in terrestrial habitat. Salamanders are thought to have lifespans of 10 years or more.

FEEDING: For the first six weeks of life, juveniles eat small crustaceans, algae, and mosquito larvae. Adult salamanders prey on aquatic insects, invertebrates, and tadpoles of Pacific tree frogs, California red-legged frogs, western toads, and spadefoot toads.

THREATS: The California tiger salamander is threatened by habitat destruction due to urban and agricultural development, habitat fragmentation, pesticides, hybridization with nonnative tiger salamanders, introduced diseases, and predation by nonnative species.

POPULATION TREND: Surveys showed that by 1993, the California tiger salamander had been extirpated from at least half of its historic localities. By 2004, only six tiger salamander meta-populations within 48 breeding ponds remained in Santa Barbara County, and by 2005, only seven viable tiger salamander breeding sites remained in Sonoma County.

Step-by-step explanation:

Answer:

(x-7)²+y²=9

Step-by-step explanation:

There is a formula used for the equation of a circle:

(x-h)²+(y-k)² = r²

(h, k) is the center of the circle

r is the radius

In this case, (h, k) is (7, 0)

Plug in the values for h and k

∴ (x-7)²+(y-0)²=3² which can be simplified to (x-7)²+y²=9 (No need to expand the brackets)

Answer:

Let x be the price of a raffle ticket

(x+2)*223 = 1115

x=3

Step-by-step explanation:

Let x be the price of a raffle ticket

The amount they get is now x+2 since the admin is donating 2 dollars per ticket

The sold 223 tickets

(x+2) *223 = amount raised

(x+2)*223 = 1115

Divide each side by 223

x+2 = 1115/223

x+2 = 5

Subtract 2 from each side

x+2-2 =5-2

x=3

[tex] \quad \quad \quad \quad \tt{(x + 2) 223 = 1,115}[/tex]

[tex]\quad \quad \quad \quad \tt{ \huge x + 2 = \frac{1,115}{223} }[/tex]

[tex]\quad \quad \quad \quad \huge\tt{ x + 2 = 5 }[/tex]

[tex]\quad \quad \quad \quad \huge\tt{ x = 5 - 2}[/tex]

[tex]\quad \quad \quad \quad\huge \tt{ x = 3 }[/tex]

[tex]\quad \quad \quad \quad \boxed{ \huge \tt{ \color{green} x = 3 }}[/tex]

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Answer:

OB. NEXT

Step-by-step explanation:

The value 60 is the LCM of 3, 4 and 5.

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

Explanation:

LCM = lowest common multiple

To find the LCM, we list out the prime factorization of each number

Ignoring the factors of 1, we have the unique primes of 2, 3, 5. There are 2 copies of '2', one copy of '3', and one copy of '5'. So we multiply this out to get 2*2*3*5 = 4*15 = 60

----------

If she had 60 apples, and wanted to give them to 3 friends, then each friend gets 60/3 = 20 apples

If instead, she had 4 friends, then each friend gets 60/4 = 15 apples.

Or if she had 5 friends, then each friend gets 60/5 = 12 apples.

For any of those three cases, there are no leftovers or remainders.

Any multiple of 60 will work (eg: 120 or 180), but 60 is the smallest such number that allows her to divide the apples this way without any leftovers.

Answer:

60

Step-by-step explanation:

60 / 3 = 15

60 / 4 = 20

60 / 5 = 12

They all divide evenly.

Respuesta:

24 días

Explicación paso a paso:

Para calcular el día en que se volverán a reunir después del 5 de abril; tomamos el mínimo común múltiplo de la cantidad de días de cada visita:

Por lo tanto, tomamos el mínimo común múltiplo de 8, 3 y 12.

Múltiple de:

8: 8, 16, 24, 32, 40, 48

3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

12:12, 24, 36, 48, 60

El mínimo común múltiplo es 24;

Todos se volverán a encontrar después de 24 días.

5 de abril + 24 días = 29 de abril

Answer:

22

Step-by-step explanation:

number of gum = x

number of candy bar = y

0.54x + 0.88y = 26.38

x + y = 35

         0.54x + 0.88y = 26.38

(+)      -0.54x - 0.54y = -18.9

-----------------------------------------

                       0.34y = 7.48

y = 7.48/0.34

y = 22

Answer: 22

The number of the gum is 13 and the number of the candy will be 22.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Jane and Sophia went to the corner store where packages of gum cost 54¢ each and candy bars cost 88¢ each.

They spent $26.38 total and bought 35 items total.

Let x be the number of the gum and y be the number of the candy.

Then the equation will be

x + y = 35 ...1

0.54x + 0.88y = 26.38 ...2

By solving the equations 1 and 2, then we have

x = 13 and y = 22

Then the number of the gum is 13 and the number of the candy will be 22.

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Answer:

20

Step-by-step explanation:

f(5) = 6(5) - 10

= 30-10

=20

when x = 5, y = 20

Answer:

-3

Step-by-step explanation:

You plug the value of -3 into where the x is {-(-3)^2} + 6, resulting in -3.

Answer:

8r6s3 – 13r5s4 + r4s5 – 5r3s6 it is D

Step-by-step explanation:

The value of the difference of the polynomials is,

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)

Now, We can find the difference as;

⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)

⇒ (8r⁶s³ – 9r⁵s⁴ – 4r⁵s⁴ + 3r⁴s⁵ – 2r⁴s⁵ – 5r³s⁶

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

Thus, The value of the difference of the polynomials is,

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

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Answer:

Step-by-step explanation:

Note: It is not mention what to find so than i am finding the value of x.

Given data:

3/4 : 1/2:: 27x: 14

Now,

[tex]x=\frac{1/2*27}{3/4*14} \\x=4.5[/tex]

Answer:

His specific request will be any of the following:

Step-by-step explanation:

Given

See attachment for complete question

Required

Specific information to match Jada's request

From the attachment, we have the following:

Triangle 1: Jada's request

Triangle 2: The triangle made by Tyler

The two triangles are not congruent because:

How did we know this?

On Jada's triangle, the longest side is 8.5

On the triangle, Tyler made; the longest side is 5 and does have a corresponding ratio to Jada's triangle

Having said this; this is what Jada needs to do;

He needs to make his request based on any of the following postulate

[tex]SSS \to Side\ Side\ Side[/tex]

[tex]SAS \to Side\ Angle\ Side[/tex]

[tex]ASA \to Angle\ Side\ Angle[/tex]

However, the best postulate to use in this regard is:

[tex]SAS \to Side\ Angle\ Side[/tex]

So, his specific request will be any of the following:

Answer:

C

Step-by-step explanation:

U fisrt find the y intercept where x=0 and deferentiate to find gradient

Answer:

3:4

Step-by-step explanation:

That ratio would be 12:16, or 3:4.

The aspect ratio of a computer screen will be 4: 3.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The computer screen measures 12 inches by 16 inches.

Then the aspect ratio will be given by the number 16 inches divided by 12 inches.

We know that the aspect ratio will be greater than 1. Then the aspect ratio will be

Aspect ratio = 16 / 9

Aspect ratio = 4/3

Aspect ratio = 4: 3

The aspect ratio of a computer screen will be 4: 3.

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Answer:

x=4

AB=19

Step-by-step explanation:

in such a parallelogram the length of AD must be equal to the length of BC.

=>

18x = 17x + 4

x = 4

AB = 4x + 3 = 4×4 + 3 = 19

Answer:

(x−1)(x−2)

Step-by-step explanation: