Answer:
(-4)^2+5(-4)+7=3
if -4 isn't in brackets then
-4^2+5(-4)+7=-29
The brackets are necessary if order of operations is followed properly.
Factor each of the following completely:
y² + 7y +6
I
y² - 7y + 6
Answer: 31y2 + 6
Step-by-step explanation:
61 y2 + 1 y2 = 62 y2
7y + -7y = 0
6+6 =12
62y2 + 12 then divide by 2 and it's 31y2 + 6
Lihle is going to bake some vanilla cupcakes that she wants to sell to raise money for charity. Use the recipe below to answer the questions that follow. VANILLA CUPCAKES Ingredients 185g butter 220g castor sugar 3 extra-large eggs 3ml vanilla essence 80ml water 80ml milk 300g cake flour 20ml baking powder Butter Icing 80g butter 115g icing sugar 15ml boiling water 1 tub vermicelli for garnishing MAKES 24 CUPCAKES 1.1.1. Lihle does not have a measuring spoon so she decides to use a teaspoon. How many teaspoons (5ml) of baking powder does Lihle need for one batch of cupcakes? (2)
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Find the domain and range of the relation. Also determine whether the relation is a function.
{(6,3), (8,5), (-4,-4), (5,5)}
The domain is:
D: {-4, 5, 6, 8}
The range is:
R: {-4, 3, 5}
And yes, the relation is a function.
How to determine the domain and range?
For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).
Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}
The domain is the set of the first values of each pair, so we have:
D: {-4, 5, 6, 8}
The range is the set of the second values of each pair:
R: {-4, 3, 5}
Now, is this a function?
Yes, it is a function, because each input is mapped into only one output.
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the axis of symmetry for the graph of the function f(x)=1/4x2+bx+10 is x=6 what is the vale of 6?
Considering the vertex of the quadratic equation, it is found that the value of b is of b = 3.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
y = ax^2 + bx + c
The vertex is given by:
\((x_v, y_v)\)
In which:
\(x_v = -\frac{b}{2a}\)\(y_v = -\frac{b^2 - 4ac}{4a}\)The axis of symmetry is of \(x = x_v\). In this problem, we have that a = 0.25 and x_v = 6, hence:
b/2a = 6.
b/0.5 = 6
b = 6 x 0.5
b = 3.
The value of b is of b = 3.
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Suppose that v varies directly with x, and v = 20 when x = 32.
A) Write a direct variation equation that relates x and y .
B) Find y when x = 24
\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{"v" varies directly with "x"}}{v = k(x)}\hspace{5em}\textit{we also know that} \begin{cases} x=32\\ v=20 \end{cases} \\\\\\ 20=k(32)\implies \cfrac{20}{32}=k\implies \cfrac{5}{8}=k\hspace{8em}\boxed{v=\cfrac{5}{8}x} \\\\\\ \textit{when x = 24, what's v?}\qquad v=\cfrac{5}{8}(24)\implies v=15\)
Can someone help me with 6-11. Directions: Find the volume of each figure. Round to the nearest hundredth when necessary.
The calculated volumes of the figures are 11264 cubic units, 14482.28 cubic units, 3744 cubic units, 475.2 cubic units, 18824.14 cubic units and 91.99 cubic units
How to find the volume of the figuresThe cylinder
The volume is calculated as
V = πr²h
Where
r = Radius
h = Height
So, we have
V = 22/7 * (32/2)² * 14
Evaluate
Volume = 11264
The cylinder
The volume is calculated as
V = πr²h
Where
r = Radius
h = Height
So, we have
(2r)² = 40² - 32²
(2r)² = 576
So, we have
r = 12
So, we have
V = 22/7 * (12)² * 32
Evaluate
Volume = 14482.28
The rectangular prism
The volume is calculated as
V = lwh
Where
l = Length
w = Width
h = Height
So, we have
V = 8 * 12 * 39
Evaluate
Volume = 3744
The triangular prism
The volume is calculated as
V = 1/2lwh
Where
l = Length
w = Width
h = Height
So, we have
V = 1/2 * 11 * 5.4 * 16
Evaluate
Volume = 475.2
The sphere
The volume is calculated as
V = 4/3πr³
Where
r = Radius
So, we have
V = 4/3 * 22/7 * (33/2)³
Evaluate
Volume = 18824.14
The sphere
The volume is calculated as
V = 4/3πr³
Where
r = Radius
So, we have
V = 4/3 * 22/7 * 2.8³
Evaluate
Volume = 91.99
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Determine the equation of the parabola that opens down, has vertex (-8,5) and a focal diameter of 28
The equation of the parabola that opens down, has vertex (-8,5) and a focal diameter of 28.
To determine the equation of the parabola that opens down, has vertex (-8,5) and a focal diameter of 28, we need to use the standard form of the equation of a parabola:
(x - h)^2 = -4p(y - k)
where (h,k) is the vertex and p is the distance from the vertex to the focus (which is half the focal diameter in this case).
Using the given information, we can plug in the values for h, k, and p:
(h,k) = (-8,5)
p = 28/2 = 14
(x + 8)^2 = -4(14)(y - 5)
Simplifying this equation, we get:
(x + 8)^2 = -56(y - 5)
And that is the equation of the parabola that opens down, has vertex (-8,5) and a focal diameter of 28.
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To the nearest degree, what is the measure of the central angle for bathing?
The central angle of Bathing = 108 degrees.
In the given pie chart,
Since we know,
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.
The whole circle is 360 degrees
which represents 100%.
It is given that,
Bathing = 30%
So have need to find 30% of 360 degrees.
Therefore,
Bathing = (30/100)x360
= (30/10) x 36
= 3x36
= 108
Hence,
The central angle = 108 degrees.
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The complete question is:
To the nearest degree, what is the measure of the central angle for bathing?
9. The Empire State Building in New York is
hit by lightning about 100 times a year.
The building opened in 1931. About how
many times was it hit by lightning by the
year 2000? (69 years)
6,900 times is the answer,also can i get brainliest
Pleas help thx need asap!
Answer: 2
Step-by-step explanation:
why are inverse realashinships between operations used to solve twop step inqualites
Inverse relationships between operations are used to solve two-step inequalities because they allow us to isolate the variable on one side of the inequality.
A two-step inequality involves two operations that need to be undone in reverse order to solve for the variable. Inverse relationships between operations are used to "undo" these operations, leading to an isolated variable.
For example, consider the inequality 2x + 5 > 11. The first operation being performed on x is multiplication by 2, and the second operation is adding 5. To solve for x, we need to undo these operations in reverse order.
The inverse relationship of multiplication by 2 is division by 2, and the inverse relationship of adding 5 is subtracting 5. Therefore, we can solve the inequality as follows:
2x + 5 > 11
2x > 6 (subtract 5 from both sides)
x > 3 (divide both sides by 2)
Here, we first subtracted 5 from both sides to undo the addition of 5, and then divided both sides by 2 to undo the multiplication by 2.
Inverse relationships between operations are used in two-step inequalities because they help to simplify the equation by undoing the operations one by one, leading to an isolated variable.
By using inverse relationships between operations, we can efficiently and systematically solve two-step inequalities and isolate the variable to find the solution set.
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4 + 3 (3 × 2)² - 1
how do I set up the account?
Answer:
4+(9*6)^2-1
Step-by-step explanation:
ANYONE PLEASE I need someone help pls help this random person help pls!!!!
Answer:
5.8
Step-by-step explanation:
just add 2.9 plus 2.9 and u get 5.8 u see how 2.9 is written on one side do that to the other only do thing with the sides are the same SIZE
1. Pilar and her sister Marisol live near the beach. Pilar has 80 seashells in her collection when Marisol started collecting seashells. Marisol started with zero seashells in her collection. Pilar adds 10 seashells to her collection each week for x weeks. • Marisol adds 20 seashells to her collection each week for x weeks.
(a) Write an inequality to represent the situation when the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection
(b) Solve the inequality in part (a) for the x. Show your work and explain your answer.
Answer:
a. 20x > 10x + 80
b. •20x > 10x + 80
• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x
• Simplify: 10x > 80
• Divide both sides by 10: 10x/10 > 80/10
• Simplify: x > 8
Step-by-step explanation:
10x + 80 = number of seashells Pilar has.
20x = number of seashells Marisol has.
answer for a: 20x > 10x + 80
answer for b: 20x > 10x + 80
• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x
• Simplify: 10x > 80
• Divide both sides by 10: 10x/10 > 80/10
• Simplify: x > 8
Answer:
Pilar started with 80 and adds 10 each week.
y= 10x + 80 (ten seashells • weeks + 80 she started with)
Marisol started with 0 and adds 20 each week.
y = 20x (no need to add + 0 because she started with nothing)
Inequality:
y = 10x + 80 < y = 20x
I would reccomend just plugging in numbers (for example if I put in 5 I would determine if it was too high or low then go to the next number.)
I plugged it into an online graph so I can’t show my work but the answer is 8 weeks.
Step-by-step explanation:
URGENT!!!!! PLEASE HELP I NEED IT THIS WEEKEND
Janet goes home to sleep on her decision. She thinks back on all of her conversations with Tamir and tries to predict how she’ll use her account this summer once she has a part-time job. She also considers that she’ll need to convince her parents if she goes with any option other than their local Tinker Bank: Is it worth the hassle? Janet drifts off to sleep but wakes the next morning, confident in her choice.
Answer This:
Where should Janet open her checking account? Explain why.
Answer:
Although the traditional tinker bank option is more convenient and suitable for her parents’ wishes, as it being the primary place for her revenue and learning tool it might be best for her to stick with her gut. As she has great accessibility to her digital phone, in her respect it could be far more convenient than a physical building to attend where using her phone is easier to figure out and like second nature to a young person today. Additionally, she can try to navigate the challenge of depositing cash into a non tangible account however if there is no accessibility to this aspect it might be best for her to utilize a traditional like system.
Step-by-step explanation:
rebecca has 12 photos she wants to hang side by side on her wall.
A. if she only wants to display 8 of the photos, in how many ways can she choose 8 photos she wishes to eventually display?
B. in how many ways can she arrange all 12 photos?
C. if rebecca wants to have the 10 out of 12 photos in specific places, how many ways could she order the 12 photos?
We want to find different ways of selecting and ordering elements. The answers are:
A) C = 395
B) combinations = 479,001,600
C) combinations = 239,500,800
First, we know that Rebecca has 12 photos.
A) She wants to choose 8 of these 12 photos, we want to see in how many ways she can choose these 8 photos.
Remember that for a set of N elements, the number of different combinations of K elements (such that K is smaller than N) is given by:
\(C(N, K) = \frac{N!}{(N - K)!*K!}\)
Here we have N = 12 and K = 8, then:
\(C(12, 8) = \frac{12!}{(12 - 8)!*8!} = \frac{12!}{4!*8!} = \frac{12*11*10*9}{4*3*2*1} = 495\)
So there are 495 different ways of choosing 8 photos out of the 12.
B) Now we want to see in how many ways she can arrange all 12 photos.
The first photo can be any one of the 12, so there we have 12 options.The second photo can be any one of the remaining 11 (so we have 11 options).The third photo can be any one of the remaining 10, and so on.The total number of combinations is just the product between the numbers of options, we got:
\(combinations = 12*11*10*9*8*7*6*5*4*3*2*1 = 479,001,600\)
C) Now we must combine the two things we did before, first, we select 10 out of the 12 photos, and then we want to find in how many ways we can arrange these 10 photos.
\(C(12, 10) = \frac{12!}{(12 - 10)°*10°} = \frac{12*11}{2} = 66\)
And we multiply this by the total number of arrangements of these 10 photos, that is just given by 10!, so we get:
\(c = 66*10! = 66*(10*9*8*7*6*5*4*3*2*1) = 239,500,800\)
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what is the rule for the reflection
Answer:
i think the answer is R y-axis(x,y)=(x,-y).
hope get it...
Calculate the length between the points (2, 3)
and (5. 7)
A. 3
B. 4
C. 5
D. 6
√5/49+√20/49−2√45/49
Answer:
-0.136
Step-by-step explanation:
Use the given information to find the balance in the account earning compound interest after 6 years when the principal is $3500.
$r=1.26\%$r=1.26% , compounded monthly
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3500\\ r=rate\to 1.26\%\to \frac{1.26}{100}\dotfill &0.0126\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &6 \end{cases}\)
\(A = 3500\left(1+\frac{0.0126}{12}\right)^{12\cdot 6}\implies A=3500(1.00105)^{72} \implies A \approx 3774.71\)
Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.¿Me podrían ayudar con esta tarea? Llevo desde hace ratito intentado resolverla, pero, simplemente no puedo. ¿Me ayudan? Necesito saber cuánto medir cada ángulo
Answer:
no clue
Step-by-step explanation:
im just doing this for the points it gives me
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
For positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6!= 6.5.4.3. 2. 1.) What value of N satisfies the following equation? 5!.9!= 12. N! (A)10 (B)11 (C)12 (D)13 (E)14
The value of N that satisfies the following equation, 5!9!= 12N!, is 10.
Factorial notation (n!) means to multiply a series of descending natural numbers. Also stated in the problem that for positive integer n, the factorial notation n! represents the product of the integers from n to 1.
Take for example 6! which can be written as 6 x 5 x 4 x 3 x 2 x 1 = 720.
Given the equation 5!9!= 12N!, expand the factorial notation.
(5 x 4 x 3 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = (4 x 3) N!
N! = (5 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
N! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
N = 10
Therefore, the value of N that satisfies the following equation, 5!9!= 12N!, is 10.
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a) Express the fractions 2/3, 3/4 and 5/6 as equivalent fractions with a denominator of 12.
Answer:
8/12, 9/12, and 10/12
Step-by-step explanation:
Just multiply the numerator and the denominator by the same number. Multiply the denominator to get 12 then just multiply the same number by the numerator.
Evaluate x+y when x=1/3 and y=(-7/4.Write your answer as a fractionin simplest form.
Answer:
-17/12
Step-by-step explanation:
1/3 + -7/4
common denominator of both is 12 , so multiply both sides top and bottom by 3 and 4
4/12 + -21/12
4/12-21/12
-17/12
on a separate sheet of paper, sketch the rectangle for each problem using any method round and estimate to check your answer problem 1 5 x 4,751
The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.
The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.
2. 7 x 6000 = 42,000.
To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.
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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.
In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.
Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.
2. 7 x 6000 = 42,000.
We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.
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Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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Which of the following is the graph of f(x) = 5 cos (2x)? Select one: a. graph with points 0, 5 and pi over 4, 0 and pi over 2, negative 5 and 3 pi over 4, 0 and pi, 5 b. graph with points at 0, 0 and pi over 4, negative 3 and pi over 2, 0 and 3 pi over 4, 3 and pi, 0 c. graph with points 0, negative 5 and pi over 4, 0 and pi over 2, 5 and 3 pi over 4, 0 and pi, negative 5 d. graph with points at 0, 5 and pi over 4, 2 and pi over 2, negative 1 and 3 pi over 4, 2 and pi, 5
The required graph has been attached below that represents the function f(x) = 5 cos (2x).
The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.
Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.
The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).
Thus, the graph has been attached below that represents the given function.
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