Answer: Emily's in total journey is 15.045 kilometers.
Step-by-step explanation:
Given data,
Emily traveled a certain distance on a horse = 10.98 kilometers
Emily traveled a certain distance on a bike = 4.06 kilometers
The overall distance traveled by Emily on her horse and bike needs to be determined.
For "Total Distance" , we will use addition operation:
So, Total distance covered by Emily's journey is given by equal to
Emily traveled a certain distance on a horse + Emily traveled a certain distance on a bike
Let us assume,
Total distance covered by Emily's journey is represented by 'x'
Then we can write,
x = 10.981 kilometers + 4.064 kilometers
x = 15.045 kilometers
Therefore, Emily's in total journey is 15.045 kilometers.
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Convert 7,620 cm³ into m³
Answer:
0.00762
Step-by-step explanation:
Keisha bought a skirt for $34.00 and a pair of shoes for $48.00. Sales tax was 7% on her purchases
What was the amount of sales tax on her total purchase What was the total cost of her purchase? $
Answer: $86.67
Step-by-step explanation:
34 x 7% OR 34 x .07 = 2.38
Skirt = $36.38
47 x 7% = 3.29 47+3.29 = 50.29
50.29+36.38=86.67
b. Without doing the calculation, what is greatest number of restrictions the quotient x²+8 x+7 / x²-x-12 ÷ x²+2 x-8 / x²+13 x+24 could have? Explain.
According to the question, the given rational expression can be simplified which is shown below:
Rational expression = [tex](\frac{x^{2}+8x+7}{x^{2} -x-12)} /(\frac{x^{2} +2x-8}{x^{2} +13x+24} )[/tex]
To simplify the given rational expression which is also an polynomial expression by the method of factors rule. Performing factors on numerator as well as on denominator. And later divide them with each other.
Rational expression = [tex](\frac{(x+7)(x+1)}{(x-4)(x+3)}) /(\frac{(x+4)(x-2)}{x^{2} +13x+24} )[/tex]
The factors of the denominator term is not possible. Therefore, the given expression cannot be simplified.
What is polynomial expression?
Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.
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Please help me out please please please
Answer:
-18 + 30 s - 72 t + 12 u
Step-by-step explanation:
Expand the following:
-6 (3 - 5 s + 12 t - 2 u)
-6 (3 - 5 s + 12 t - 2 u) = -6×3 - 6 (-5 s) - 6×12 t - 6 (-2 u):
-6×3 - 6 (-5) s - 6×12 t - 6 (-2) u
-6×3 = -18:
-18 - 6 (-5) s - 6×12 t - 6 (-2) u
-6 (-5) = 30:
-18 + 30 s - 6×12 t - 6 (-2) u
-6×12 = -72:
-18 + 30 s + -72 t - 6 (-2) u
-6 (-2) = 12:
Answer: -18 + 30 s - 72 t + 12 u
9. Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is
most appropriate.
Temperatures of the ocean at various depths.
O Nominal
O Ratio
O Ordinal
O Interval
Answer: D (Interval)
what if f(x)=3x+4 then f(n+3)=
Answer:
f(n + 3) = 3n + 13
Step-by-step explanation:
f(x)=3x+4 then f(n+3)=
f(n + 3) = 3(n + 3) + 4
f(n + 3) = 3n + 9 + 4
f(n + 3) = 3n + 13
I hope this helps!
WILL GIVE BRAINLIESTTT
The graph of g(x) = -3(x-4)2 + 5 is translated 6 units left. What is the value of
h when the equation of the transformed graph is written in vertex form?
Step-by-step explanation:
the vertex form is
y = a(x - h)² + k
a is a stretch factor, (h, k) are the coordinates of the vertex of the parabola.
so, the original x-coordinate of the vertex was 4.
when we move it 6 units to the left. we subtract 6 from the x-coordinate.
that makes the new h
4 - 6 = -2
answer B is correct.
and the equation of the translated function is
g(x) = -3(x + 2)² + 5
Solve. Check for extraneous solutions. √x=√x-8+2
x = 9 is not an extraneous solution of the equation.
√x=√(x-8) + 2
Squaring both the sides of the equation, we get
(√x)² = (√(x-8)+2)²
x = (✓(x - 8))² + 2² + 2(✓(x - 8))(2)
x = x - 8 + 4 + 2(✓(x - 8))(2)
Subtracting x on both the sides of the equation, we get
- 4 + 2(✓(x - 8))(2) = 0
Adding 4 on both the sides of the equation, we get
4(✓(x - 8)) = 4
Dividing both sides of the equation by 4, we get
(✓(x - 8)) = 1
Squaring again on both the sides of the equation
x - 8 = 1
x = 9
Check for extraneous solution by putting the value of x = 9 in the original equation, we get
✓9 = ✓(9 - 8) + 2
✓9 = ✓1 + 2
3 = 1 + 2
3 = 3
⇒ LHS = RHS
∴ x = 9 is not an extraneous solution of the equation.
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draw a ring around the number equivalent to five hundreths
500 5.00 0.50 0.05
Work Shown:
five hundredths = 5/100 = 0.05
combine like terms to create an equivalent expression
[tex]-\frac{4}{7} +(-\frac{2}{7} p)+\frac{1}{7}[/tex]
-4/7p+(-2/7p)+1/7
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. (-6p+1)/7 is an equivalent fraction of -4/7p+(-2/7p)+1/7.
What is Expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
The given expression is
-4/7p+(-2/7p)+1/7
In the given expression there is a variable p and a constant.
We have to add the terms which having p.
(-4/7+(-2/7))p+1/7
=(-4/7-2/7)p+1/7
=-6/7p+1/7
=(-6p+1)/7
Therefore (-6p+1)/7 is an equivalent fraction of -4/7p+(-2/7p)+1/7.
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In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class plays a sport or an instrument?
The 50% probability that a student chosen randomly from the class does not play a sport.
According to the statement
We have to find that the probability.
So, For this purpose, we know that the
Probability is that the branch of mathematics that studies the possible outcomes of given events along with the outcomes' relative likelihoods and distributions.
From the given information:
In a class of scholars, the subsequent data table summarizes what percentage students play an instrument or a sport.
Then
In total, there are 8 + 7 + 3 + 12 = 30 students.
And Of this total, 3 + 12 = 15 don't play a sport.
Then
Probability = 15/30
Probability = 0.5
Then
50% probability that a student chosen randomly from the class does not play a sport.
So, The 50% probability that a student chosen randomly from the class does not play a sport.
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Find the inverse of each function. Is the inverse a function?
y=2 x-1
The inverse function returns the original value for which the output of a function was given.
The inverse the function y = 2x + 1 is [tex]y^{-1[/tex] = x + 1/ 2.
What is meant by inverse?Every logarithmic function has an exponential inverse, and vice versa.
An exponential function is a mathematical function with the formula f(x) = ax, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero.
The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.
Let the equation be y = 2x + 1
y = 2x + 1
simplifying the equation, we get
⇒ 2x = y+1
⇒ x = y+1/ 2
Therefore, the inverse is [tex]y^{-1[/tex] = x+1/ 2
Let the composition function be
[y ₀ [tex]y^{-1[/tex]] (x) = y (x+1/2)
simplifying the above equation
[y ₀ [tex]y^{-1[/tex]] (x) = 2 (x+1/2)-1
[y ₀ [tex]y^{-1[/tex]] (x) = x
The inverse of y is the image of y in the line y = x.
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Evaluate the expression a²-4ab + c²
if a = -2, b = 5 and c = -3.
BiUF = = A
Answer: 53
Given, expression:
a²- 4ab + c²Given values: a = -2, b = 5, c = -3
Substitute them inside the expression:
(-2)²- 4(-2)(5) + (-3)²distribute
(-2)²+ 40 + (-3)²evaluate
4 + 40 + 9simplify
53D CONGRUENCE 3 Calculate the values of x, y and z in the triangle below. 3 cm 5 cm x cm- 4 cm 2 cm -ycm->
Answer:
Step-by-step explanation:
What are the 3 letters?
Answer:
C. SNL
Step-by-step explanation:
S is a point in the plane, N is a line in the plane, and L is a point on another line in the plane.
Answer: D XLJ
Step-by-step explanation:
Hope that helps
Gracias
Help, pls this is urgent
9/3 - 1/6
[tex] \frac{9}{3} - \frac{1}{6} = \frac{9 \times 2}{3 \times 2} - \frac{1}{6} = \frac{18}{6} - \frac{1}{6} \\ \\ \frac{18 - 1}{6} = \frac{17}{6} = 2 \frac{5}{6} [/tex]
Answer: 2 5/6
Step-by-step explanation:
9/3-1/6 is 2 5/6 what you do is cross multiply 9/3 and 1/6 to get 18/6 and 1/6 then you subtract across
if -5c+6 =-69 what is the value of 6c - 15
The question is in the picture attached below. Pls answer, will give 10 points. I know its less and its bcz I have only 13 points. When I get more, I will try to give it.
The missing terms in the given factorized expression are:
3x²y + 12xy² + 9xy = 3xy ( x + 4y + 3 )
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
We have,
_ x²y + _ y² + 9 _ = 3x _ ( _ + 4y + _ )
We need to fill the boxes and make sure that both sides are equal.
We will remove the bracket on the right side.
i.e 3x _ _ + 12xy_ + 3x_ _
Now,
_ x²y + _ y² + 9 _ = 3x _ _ + 12xy_ + 3x_ _
We will make,
_ x²y and 3x _ _ equal.
_ y² and 12xy_ equal.
9 _ and + 3x_ _ equal.
So,
(3)x²y = 3x (x)(y)
(12x)y² = 12xy(y)
9 (xy) = 3x(y)(3)
Thus the missing terms in the given factorized expression are:
3x²y + 12xy² + 9xy = 3xy ( x + 4y + 3 )
3x²y + 12xy² + 9xy = 3x²y + 12xy² + 9xy
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Select all that apply: 21 days is equal to... Question 6 options: 504 hours 30,240 minutes 1081404 seconds 3 weeks 1 month
by using the operation of multiplication, we get that 21 days is equal to 3 weeks, 504 hours, 30240 minutes and 1,814,400 seconds.
We are given the total number of days as 21.
Now, we know that:
In 1 week, we have 7 days.
So, in 3 weeks = 7 × 3 = 21 days.
Also, 1 day has = 24 hours.
So, by using multiplication, we get that:
21 days = 24 × 21 hours
= 504 hours
Also,
1 hour = 60 minutes
504 hours will be calculated again by using multiplication.
504 hours = 504 × 60 = 30240 minutes
30240 hours = 1,814,400 seconds.
Therefore, by using the operation of multiplication, we get that 21 days is equal to 3 weeks, 504 hours, 30240 minutes and 1,814,400 seconds.
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Your question was incomplete. Please refer the content below:
21 days is equal to:
a) 3 weeks
b) 504 hours
c) 30240 minutes
d) 1,814,400 seconds
e) 1081404 seconds
Select all the correct options that apply.
Tony started to work at a company in the year 2001. His yearly salary was $26,500. At the beginning of the next year he received a $2,880 raise. Assume that he receives the same raise each year. Write a function to find Tony’s salary n years after 2001.
Answer:
y=2880x+26500
Step-by-step explanation:
Basically, this question wants you to write an equation where you can figure out how much money Tony has at any year.
1. They already told us how much the raise was: $2880
2. He started off with $26,500, so we know we have to add that at the beginning. That is our y-intercept.
3. A function is written as y=mx+b. Y is what you are solving for. M is the constant change (x doesn't mean anything, it just tells us which number is m). B is the y-intercept, which is 26,500 in this case. Its what you are starting with. If he had no money, there would be nothing to start with. There would be no y-intercept.
4. Because he gets the same raise every year of 2880, that is constant. It does not change, but it increases constantly.
5. So, y=2880x+26500 is your answer.
A rectangle's length is 8cm more than three times its width. It the perimeter is 128 cm, find the length.
Answer:
50
Step-by-step explanation:
Answer
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The length is 50. You solve it by making an equation out of the information given. the rectangle's length(l) is 3 times its width(w) and its perimeter(p) is 128. So in order to solve this you need an equation to find the perimeter, isolating w to find l. It'll look something like this:
(3w+8)+(3w+8)+w+w=128
?You combine all like terms turning it into:
2(4w+8)=128
8w+16=128
8w=112
w=14
you use the value of w to solve for l as follows:
l=w*3+8
l=14*3+8
l=42+8
l=50
You work for a wedding planner and have been asked to buy material for the table runners. Each runner is 4 feet long
and 8 inches wide. How much decorative material do you need, in square inches, for the top of each table runner?
32
40
64
120
384
Answer:
4*12=48
48*8=384
384 square inches
Please help me please help me please help me
Answer:
270
Step-by-step explanation:
With a 270 rotation you move 3 boxes
Motherdeposited $30 000.00 at a bank for 5 years at a rate of 5% per annum. How much interest will she collect at the end of the 5 years?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$30000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (30000)(0.05)(5) \implies I = 7500[/tex]
Please help I got this question wrong and I am not sure why
The partial derivatives for this problem are given as follows:
[tex]\frac{\partial z}{\partial x} = -\frac{x}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex][tex]\frac{\partial z}{\partial y} = -\frac{4y}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex]How to find the partial derivatives of a function?To find the partial derivatives of a function, we apply the same rules that we apply for complete derivatives, just considering the variables for which we are not deriving the function as constants.
For this problem, the function is given as follows:
x² + 4y² + 7z² = 1.
The function for z is given by:
7z² = 1 - x² - 4y²
[tex]z = \sqrt{\frac{1 - x^2 - 4y^2}{7}}[/tex]
As a function of x, the derivative will be given by:
[tex]\frac{\partial z}{\partial x} = -\frac{x}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex]
Because the derivative of the inside term as a function of x is of -2x, then we apply the derivative of the root and simplify -2 with 2.
For the derivative as a function of y, we follow the same procedure, with the lone difference being the the inside derivative is of -8y, then:
[tex]\frac{\partial z}{\partial y} = -\frac{4y}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex]
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(x + 1) ^4 (x + 3) − 2(x + 1)³(x + 3)²
Answer:EVALUATE
(x=3)(x=1) 4−2(x+3) 2(x+1) 3
Step-by-step explanation:
The human heart beats an average of 70 times per minute. How many times will it beat per year?
Answer:
36792000
Step-by-step explanation:
you look up how many minutes in a year then multiply by 70
Janna walks 1/5 of a mile each day to her mailbox and back. How many miles will Janna walk in 7 days?
A 1 2/5 miles
B 2 miles
C 1 mile
D 2 2/5 miles
5-(x-2)2 for x=-1
NEED HELP! What is the given value for this expression?
Answer:
3
Step-by-step explanation:
5-(x-2)2 for x= -1
it going to be
5-(-1-2)2
5- 1 x 2
5 - 2
=3
Answer:
- 4
Step-by-step explanation:
substitute x = - 1 into the expression
5 - (x - 2)²
= 5 - (- 1 - 2)²
= 5 - (- 3)²
= 5 - 9
= - 4
what is 209.3 ÷ 80 i need the answer
Answer:
2.61625
Step-by-step explanation: