Determine the length of a ladder that Sir Gleefulheart needs to reach the top
of the battlement (castle) to the nearest meter if the moat (water)
surrounding the battlement is 6 meters wide. The top of the battlement is 8
meters above the moat. *

Answer:

f(x)= x²+4x-21

a= 1 b=4 c=-21

from [tex]y=ax^2+bx+c[/tex] and [tex]y=x^2+4x-21[/tex] | Compare the coefficients.

Thus the answer is a = 1, b = 4 and c = -21

Answer:

$15.90

Step-by-step explanation:

30% of 53 is 15.90

Answer:

-6

Step-by-step explanation:

f(1)=-3

why because f(x)=y

so x=1

you go to the x-cordinate and u see where the y-cordinate is

-3

For the graph the answer is -3 for the exterior it's -6

Have a wonderful day/night ask me if you have more math questions

Brainliest Please.

Answer:

1. x = y - 2

2. 2y = 2x

Step-by-step explanation:

1. Any number can fit x and y so long as x is 2 lesser than y and y is 2 more than x.

2. x and y can be any number so long as they are the same number.

Answer:

A.

Step-by-step explanation:

x < -6 means that x is lesser than -6. Thus, C and D are wrong. A filled up dot means that -6 is also a possible number for x, but here it says that x is lesser than -6, so it cannot be -6 itself. Thus, B with the filled up dot is also wrong.

Answer:

Step-by-step explanation:

We know he earns $14 per child under 12

So he'll earn 22 times 14 which is $308 earned.

46% of 308 is basically 0.46 X 308=$141.68 spent on props.

He profits $166.32

If only 10 children attend.

He earns 10 times 14= $140

46% of these earnings is for props and 54% is profit so

0.54 X 140=$75.60.

Thus he profits $75.60 if 10 children attended.

The profit will amount to $75.60 when only 10 children under the age of 12 attend the party.

The percentage is defined as a ratio expressed as a fraction of 100.

We are aware that he receives $14 for each child under the age of 12.

Thus, he will make $308 after multiplying 22 by 14.

In other words, 46% of 308 is 0.46 × 308 or $141.68 spent on props.

He earns $166.32.

If just 10 kids show up.

He makes $10 multiplied by 14 for a total of $140.

Props account for 46% of these revenues, while profits make up 54%, therefore

0.54 × 140=$75.60.

So, if 10 kids showed up, he makes $75.60.

Thus, the profit will amount to $75.60 when only 10 children under the age of 12 attend the party.

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Answer:

68 [tex]^\circ F[/tex]

Step-by-step explanation:

Initial temperature in the northeast in the midnight = 5 [tex]^\circ F[/tex]

Drop for the next three hours = 3 degrees per hour.

Temperature after the 3 hours = 5 [tex]^\circ F[/tex] - 3 - 3 - 3  = - 4[tex]^\circ F[/tex]

Now, it is given that the temperature is rising 8[tex]^\circ F[/tex] every hour.

3 hours have already passed from the midnight.

Now, there are 9 more hours till noon.

So, the temperature at noon can be found by adding 8 for 9 times in the temperature after 3 hours.

Temperature at noon = - 4 + 8 + 8 .... 9 times

Temperature at noon = - 4 + 9 [tex]\times[/tex] 8 = -4 +72 = 68[tex]^\circ F[/tex]

Therefore, the answer is: 68[tex]^\circ F[/tex]

Answer:

4/7

Step-by-step explanation:

1 3/4   or   7/4

Answer:

D

Step-by-step explanation:

a p e x

The explicit rule of the sequence is (d) [tex]a_n = 8-6 (n -1)[/tex]

The sequence is given as:

a1 = 8

[tex]a_n = a_{n-1} - 6[/tex]

Set n = 2

[tex]a_2 = a_{1} - 6[/tex]

This gives

a2 = 8 - 6

a2 = 2

Calculate the common difference (d)

d = a2 - a1

This gives

d = 2 - 8

Evaluate

a = -6

The explicit formula is then calculated as:

[tex]a_n = a_1 + (n -1)d[/tex]

This gives

[tex]a_n = 8-6 (n -1)[/tex]

Expand

[tex]a_n = 8-6n +6[/tex]

Evaluate the like terms

[tex]a_n = 14-6n[/tex]

Hence, the explicit rule of the sequence is (d) [tex]a_n = 8-6 (n -1)[/tex]

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Answer:

the answer is 87

Step-by-step explanation:

Answer:

9.21*10^4

Step-by-step explanation:

It should be noted that the value of the expression 5 - 2 - 2 + 10 will be 11.

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing.

You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.

For example, x + 6 = 12. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. We can substitute the variables with their values and then evaluate the expression if we know the values of our variables.

Based on the information illustrated, it should be noted that the value of the expression 5 - 2 - 2 + 10 will be 11.

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The correct answer would be True

The correct option is B. 4(x+7) = 80.

Adding 7 to the number then multiplying it with 4 given the result 80 is shown by the equation; 4(x+7) = 80.

Calculating a value with operands as well as a math operator is referred to as a mathematical "operation." The math operator symbol has predefined rules that must be applied to a given operands and numbers.

Now as per the given question;

Let us assume that the given number is 'x'.

Adding  7 to this number will form; x + 7.

Now, multiplying the number resultant number with 4 gives; 4(x + 7)

Now the number formed is equal to the result 80.

Thus, 4(x + 7) = 80.

Therefore, the equation which correctly represents the given formation is  4(x + 7) = 80.

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The correct question is -

Which of the equations below will answer the following question? Select all that apply. Explain your answers.

I think of a number, add 7 and then multiply by 4. My answer is 80. What was my number?

A. x + 28 = 80

B. 4(x+7) = 80

C. 4x + 7 = 80

D. 4x + 28 = 80

Answer:

77 nuts

Step-by-step explanation:

From the above question:

We have ratio

Peanuts : Almonds

The original mixture is given as:

A company offers a nut mixture with 4 peanuts for every 3 almonds.

4 : 3

The sum of the proportion = 7

Hence, there are 7 nuts in the container

The new mixture

The company changes the mixture to have 8 peanuts for every 3 almonds,

8 : 3

Sum of the proportion = 11

We are told : the number of nuts per container does not change.

How many nuts are in the smallest possible container?

To solve this, we use the Lowest Common Multiple principle

We find the L. C. M of 7 and 11

Multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91

Multiples of 11:

11, 22, 33, 44, 55, 66, 77, 88, 99

Therefore,

LCM(7, 11) = 77

Therefore, the number of nuts in the smallest possible container is 77 nuts

Answer:

The component form of the vector P'P is [tex]\left \langle -7, 2 \right \rangle[/tex]

Step-by-step explanation:

The component form of the vector that translates P(4, 5) to P'(-3, 7), is given as follows;

The x-component of the vector = The difference in the x-values of the point P' and the point P = -3 - 4 = -7

The y-component of the vector = The difference in the y-values of the point P' and the point P = 7 - 5 = 2

The component form of the vector P'P = [tex]\left \langle -7, 2 \right \rangle[/tex]

Answer:

12, can you help me I need help on my questions please it would mean alot and Ill post more questions with 50 points just help me with that and Ill post the points

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

is this true???

thx broh

Answer:

Reason 3

Step-by-step explanation:

Reason 3 is supposed to be prove

sorry . I had done it wrong

Answer:

b) 822.42

Step-by-step explanation:

Just multiply 2.7 by 304.6 and your answer would be 822.42

Answer:

answer is b

Step-by-step explanation:

Triangle second and third can be shown to be similar using AA similarity when we take two angles between them.

In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

In second and third triangle two angles whose measures are 24 degrees and 67 degrees are in both triangles, which is the condition of AA similarity.

To check AA similarity we have to check whether two angles are equal in two triangles to be similar.

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Answer: B and E

Step-by-step explanation:

Answer:

b and e

Step-by-step explanation:

−1.85 it says too short so ignore this ssssssndjbdbjddn

Answer:

The age at which both companies charge the same premium is 44 years

Step-by-step explanation:

Graph Solution to System of Equations

One approach to solving systems of equations of two variables is the graph method.

Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.

The annual premium p as a function of the client's age a for two companies are given as:

Company A: p= 2a+24

Company B: p= 2.25a+13

The graphs of both functions are shown in the image below.

The red line indicates the formula for Company A and the blue line indicates the formula for Company B.

It can be seen that both lines intersect in the point with approximate coordinates of (44,112).

The age at which both companies charge the same premium is 44 years

Answer:

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

Step-by-step explanation:

En este caso, el cliente que adquiere una malteada de tres sabores distintos sigue el siguiente procedimiento:

1) El primer sabor sale de cualquiera de las 20 frutas disponibles.

2) El segundo sabor es distinto al primer sabor, es decir, que sale de las 19 frutas restantes.

3) El tercer sabor es distinto al primer sabor y al segundo sabor, es decir, que sale de las 18 frutas restantes.

Puesto que existe una doble conjunción y que puede importar el orden según la preferencia del cliente, se habla matemáticamente de una permutación, definida como:

[tex]n\mathbb{P}k = \frac{n!}{(n-k)!}[/tex] (1)

Donde:

[tex]n[/tex] - Número de sabores disponibles, adimensional.

[tex]k[/tex] - Número de sabores escogidos, adimensional.

Si tenemos que [tex]n = 20[/tex] y [tex]k = 3[/tex], entonces la cantidad de malteadas de tres sabores distintos es:

[tex]n\mathbb{P}k = \frac{20!}{(20-3)!}[/tex]

[tex]n\mathbb{P}k = \frac{20!}{17!}[/tex]

[tex]n\mathbb{P}k = 20\cdot 19\cdot 18[/tex]

[tex]n\mathbb{P}k = 6840[/tex]

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.