Answer:
$51.75
Step-by-step explanation:
15% of 45 or .15*45 will equal $6.75. Then you add that onto the $45 and you'll get your anwser, $51.75.
Explain why you cannot use the Distributive Property to evaluate an expression in the form of sin(a + b). Please illustrate with an example along with your explanation.
Answer:
The distributive property is to multiply the outside of a parenthesis by each term inside, for example:
[tex]x(y+z)=xy+xz[/tex]
this cannot be done with the trigonometric functions such as the sine.
An example of this:
let's prove that we don't get the correct result using the distributive property in the following expression:
[tex]sin (\pi+\pi/2)[/tex] ≠ [tex]sin(\pi)+sin(\pi/2)[/tex]
We add the elements in the parentheses on the left side:
[tex]sin(3\pi/2)[/tex] ≠ [tex]sin(\pi)+sin(\pi/2)[/tex]
this are known values of the sine function:
[tex]sin(3\pi/2)=-1[/tex]
[tex]sin(\pi)=0[/tex]
[tex]sin(\pi/2)=1[/tex]
substituting these values we will get that:
-1 ≠ 0 +1
-1 ≠ 1
Thus we notice that we don't get the correct result using the distributive property.
The correct way to express the angle sum in the sine function is:
[tex]sin(a+b)=sin(a)cos(b)+sin(b)cos(a)[/tex]
Find the lowest common denominator of the following fractions.5/n-2 and n+2/ n^2-4 n - 2 n2 - 4 (n - 2)(n2 - 4)
Answer:
(n-2)(n+2)
Step-by-step explanation:
The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.
(n^2 -4) = (n -2)(n +2)
Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...
(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2
This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).
If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).
Which numbers are solutions to the inequality
– 3x-3<6? Select all that apply.
A. -5
B. -4
C. 0
D. 2
E.4
Answer:
C. 0
D.2
E.4
Step-by-step explanation:
To know which numbers are solutions to the inequality, we will follow the steps below:
-3x -3 < 6
add 3 to both-side of the inequality
-3x -3 + 3 <6+3
-3x < 9
Divide both-side of the inequality by -3
-3x/-3 >9/-3
whenever we are dividing both-side of inequality by a negative number, the inequality sign will change
x > -3
all values of x that are greater than -3 will satisfy the inequality
They are 0, 2 and 4
check the solution:
for x=0
-3x -3 < 6
-3(0) -3 < 6
-3 < 6
for x = 2
-3x -3 < 6
-3(2) -3 < 6
-6 -3 < 6
-9< 6
for x = 4
-3x -3 < 6
-3(4)-3 < 6
-12-3 < 6
-15 < 6
Answer:
Picture down below. Have a good day!
Step-by-step explanation:
Edge 2021
find the equation that going through these points.
urgent!! will give the brainliest
Answer:
The correct answer is y = -3x + 1.
Step-by-step Explanation:
First, you need to use the point slope formula to determine the slope. This is determined by the formula of the second y-coordinate (the y-coordinate in the second ordered pair) minus the first y-coordinate (the y-coordinate in the first ordered pair).
When subtracting the two values, you receive 7 - -5. You would use the KCC (keep, change, change) rule and keep positive 7, change the minus to addition, and turn negative 5 into positive 5. This gives you a value of 12.
Then, you use the same formula layout for the x-coordinates. Take the x-coordinate in the second ordered pair and subtract the x-coordinate in the first ordered pair to get -2 - 2 = -4.
Finally, to determine the slope, divide 12 and -4 to get -3.
Then, to get the y-intercept placed at the end, you will need to substitute the coordinate values from one of the ordered pairs into the equation y = -3x + b. I chose to use the first ordered pair, so:
-5 = -3(2) + b (Multiply the slope by x to earn the new value)
-5 = -6 + b (Add the -6 to the -5 to isolate the b)
1 = b (b = 1) (Learn that b = 1)
Your final equation will be y = -3x + 1.
Answer:
The equation is y = -3x + 1.
Step-by-step explanation:
First, you have to find the gradient of the equation using the formula :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Let (x1,y1) be (-2,7),
Let (x2,y2) be (2,-5),
[tex]m = \frac{ - 5 - 7}{2 - ( - 2)} [/tex]
[tex]m = \frac{ - 12}{4} [/tex]
[tex]m = - 3[/tex]
Next, we have to use the slope-form equation y = mx + b where m is gradient and b is constant. So we have to find the value of c by substituing any coordinates into the equation :
[tex]y = - 3x + b[/tex]
Let x = 2,
Let y = -5,
[tex] - 5 = - 3(2) + b[/tex]
[tex] - 5 = - 6 + b[/tex]
[tex]b = 6 - 5[/tex]
[tex]b = 1[/tex]
What 3 numbers multiplied equal 12.5?
If f(x) = x3 – 2x2, which expression is equivalent to f(i)?
Answer:
Please i think the question is not complete
Step-by-step explanation:
What is the value of a ?
50
55
100
110
Answer:
50
Step-by-step explanation:
The inscribed angle theorem tells us that the inscribed angle of an arc is half the arc measure.
As a is the inscribed angle, the answer is 100/2 = 50
Question 7 of 10
2 Points
How many faces does a pyramid with a square base have?
A. Eight
B. Six
C. Five
D. Seven
Answer: C 5
Step-by-step explanation: if you look up a 3D picture and count the sides you will get the anwserif THE BIG 5
what is 1/4 ou of $602.40
Answer:
150.6
Step-by-step explanation:
It is quite simple. Do you see the word "of" in there? That indicates that you have to multiply. All you have to do is multiply 1/4 by $602.40, and you will find your answer. You could figure it out on a sheet of paper but I recommend using a calculator.
Of the cones recently sold by an ice cream shop, 3 had cookie dough ice cream and 15 had other flavors. What is the experimental probability that the next cone sold will have cookie dough ice cream?
Write your answer as a fraction or whole number.
Answer:1/6
Step-by-step explanation:
15+3 =18
[tex]\frac{3}{18}[/tex] = 1/6
Hi
Please answer:
How are you?
What is this?
This is a App called Brianly in which you ask questions regarding your knowledge
Gino paid $3.23 for two tubes of toothpaste. He paid the regular price of $1.79 for one tube. However, he bough the other one for less because he used a discount coupon. How much was the coupon worth?
Answer:
Step-by-step explanation:
Cost of two tubes = $ 3.23
Regular price of one tube = $ 1.79
so, the cost of other tube = 3.23 - 1.79 = $ 1.44
Discount = 1.79 - 1.44 = $ 0.35
Slove the equation -3x+1+10x=x+4
Answer:
16
Step-by-step explanation:
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]-3x+1+10x=x+4[/tex]
[tex]-3x+10x-x=4-1[/tex]
[tex]6x=3[/tex]
[tex]x=2[/tex]
Identify the transformation that results in an image that's not congruent to the pre-image. Question 9 options: A) Rotation B) Translation C) Dilation D) Reflection
Answer:
C) Dilation
Step-by-step explanation:
Rotation is simply rotating an object, therefore, the size and shape remain the same.
Translation is moving the object across the plane, and again, the size and shape will stay the same.
Reflection is reflecting a shape across a certain line. It will still keep its size and shape.
However, dilation is enlarging or shrinking a shape. This means that the shape will change size, but not shape. A dilation of a shape will be similar, but not congruent, to it.
Hope this helps :) Feel free to ask me any questions!
Answer:
C
Step-by-step explanation:
Consider this system of equations. Which shows the first equation written in slope-intercept form?
1/2 (2y + 10) = 7x
y=8
Answer:
You're correct it's [tex]y=7x-5[/tex]
Step-by-step explanation:
If you isolate y that's the correct answer.
[tex]1/2(2y+10)=7x[/tex]
Just multiply the things in the parenthesis by 1/2:
[tex]y+5=7x[/tex]
Then isolate y further by subtracting five from each side to get the answer:
[tex]y=7x-5[/tex]
Which location does the point (0, 4) represent on the graph below?
A House
B Library
C Park
D School
Identify the type of angles labeled as x and y in the figure. answers : ) Nonadjacent angles B) Complementary angles C) Linear pair D) Vertical angles
Answer: Linear pair
Step-by-step explanation:
They are a linear pair because
1) their angles add up to be 180 so complementary is out
2) they aren't vertical of each other so vertical angles is out
And 3) they aren't adjacent angles
Answer:
C
Step-by-step explanation:
helllllllllllllllllllllpppppppppp
Answer: C
Step-by-step explanation: 7 squared is 49 so
.7 times .7 is .49
I need mega help pleasseeeeee
Answer:
-m/5 - 5 = 1
+ 5 + 5
-m/5 = 6
*5 * 5
-m = 30m = -30First move the numbers to one side.
Then you have to cancel the fraction.
Then solve.
Hope this helps
if you have blue, green ,yellow and red what is the probability of spinning red twice
Answer:
2% chances
Step-by-step explanation:
The probability of spinning red is 2 out of 4 because since there is 4 colors and spinning a color twice it can't happen.
How do i know
1: Divide the number of color by the number of outcomes
2: So since there are 4 colors and twice means 2.
3: 4 divided by 2 = 2% chances.
Hope this helps.
What might be a problem with a truck having to park 25 feet away from the base of a building?
Answer:
It will take a lot of time and effort to bring the stuff from the truck to the building
Step-by-step explanation:
Hope that's the kind of answer you wanted
A recipe requires 2/3 of a cup of yogurt. Rachel has 1/2 of a cup of yogurt from a snack pack. How much of the recipe can Rachel make?
Answer:
Rachel can make 3/6 out of 4/6 of the recipe.
Step-by-step explanation:
The amount of the recipe that Rachel can make is 1/2.
How much of the recipe can Rachel make?To determine how much of the recipe Rachel can make with 1/2 cup of yogurt, we need to find the fraction of the recipe that corresponds to that amount.
The recipe calls for 2/3 of a cup of yogurt, and Rachel has 1/2 cup. To compare these two amounts, we need to find a common denominator.
The least common denominator (LCD) for 3 and 2 is 6. To convert the fractions to have a denominator of 6, we multiply the numerator and denominator of 2/3 by 2, and the numerator and denominator of 1/2 by 3:
2/3 x 2/2 = 4/6
1/2 x 3/3 = 3/6
Now, we can see that Rachel has 3/6 cup of yogurt, which is equivalent to 1/2 cup. This means she has exactly half of the required amount.
Therefore, Rachel can make 1/2 of the recipe with the amount of yogurt she has.
Read more about recipe here: https://brainly.com/question/2985210
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Two cars leave towns 300 kilometers apart at the same time and travel toward each other. One car's rate is 14 kilometers per hour less than the other's. If they meet in 2 hours, what is the rate of the slower car?
Answer:
Say the first car speed as r
Second car speed will be r-14
Since rate times time equal distance, we have
r + (r -14)2 = 300
2r -14 = 300/2
2r = 150+14
r = 164/2 = 82
Speed of slower car 82-14 = 68 km/hr
Given cos = 7/25, where is an angle in standard position terminating in
quadrant IV, what is the value of tan ?
Answer:
tanΘ = - [tex]\frac{24}{7}[/tex]
Step-by-step explanation:
Given
cosΘ = [tex]\frac{7}{25}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]
The right triangle has sides 7, 24, 25 ← Pythagorean triplet
with adjacent = 7 and opposite = 24
Since position is in fourth quadrant then tanΘ < 0 , thus
tanΘ = - [tex]\frac{24}{7}[/tex]
On November 1, the balance of a credit card account is $2,835.63. There was a payment of $230.00 made on
November 12 as well as a new purchase for $121.36. On November 25, a second payment of $25.00 was made. The
annual interest on the account is 17.65%. Determine the finance charge for the account using both the average daily
balance and the adjusted balance methods. Which method would be more advantageous to the cardholder? Justify
your reasoning. Answer in complete sentences.
Answer:
The adjusted balance is generally the most advantageous billing method for the cardholder since the financial charges are lower ($39.20 < $40.07). This happens because interest is only charged on the final monthly balance, and cardholders can decrease that balance during any day of the billing cycle.
Step-by-step explanation:
November 1: balance $2,835.63
November 12: $230 payment
November 12: $121.36 purchase
November 25: $25 payment
annual interest 17.65%
average daily balance = {(11 x $2,835.63) + [13 x ($2,835.63 - $230 + $121.36)] + [6 x ($2,835.63 - $230 + $121.36 - $25)]} 31 days = ($31,191.93 + $35,450.87 + $16,211.94) / 30 days = $82,854.74 / 30 days = $2,761.82
financial charge = ($2,761.82 x 30 x 17.65%) / 365 = $40.065 ≈ $40.07
adjusted balance = $2,835.63 - $230 + $121.36 - $25 = $2,701.99
financial charge = $2,701.99 x 17.65% x 30/365 = $39.197 ≈ $39.20
do you know how to find the axis of symmetry for this graph?
Let u = < -6 , 3 >, v = < 1 , 9 >. Find u - v.
Answer:
< - 7, - 6 >
Step-by-step explanation:
Subtract corresponding components, that is
u - v
= < - 6, 3 > - < 1, 9 >
= < - 6 - 1, 3 - 9 >
= < - 7, - 6 >
What is the greatest common factor of 42, 126, and 210 ? 2 6 14 21 42
Answer:
Your Answer is 21
[tex]answer = 42 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Rational exponents assignment
Write each expression in radical form
At the Laika Boss Kennel Club, there are 15 dogs that are hairy or small, 2 dogs that are hairy and small, and 9 dogs that are small. How many dogs are hairy?
Answer:
8 hairy dogs
Step-by-step explanation:
There are 15 dogs that are hairy or small
2 that are hairy and small
9 that are small
small - ( hairy and small) =just small
9 -2 = 7 small only dogs
Take the total dogs minus the small dogs minus the small and hairy dogs to find the hairy dogs
15 - 7 - 2 =6
There are 6 hairy dogs
2 small and hairy dogs
7 small dogs
total 15 dogs
If we want the total of the hairy dogs
2 small and hairy + 6 hairy = 8 hairy dogs
