The total cost of the trip Lisa wants to take over the weekend is $500.
Let the total cost of the trip be T.Given the following data:
Savings account balance = $200Percent of trip expenses = 40%To determine the total cost of the trip Lisa wants to take over the weekend:
Since the percentage of the money in Lisa's savings account is equal to forty percent (40%) of what is required for the total cost of the trip. Thus, we would multiply the total cost of her trip by 40% and equate it to $200.
Total cost of her trip:
[tex]\frac{40}{100} \times T = 200\\\\0.4T=200\\\\T=\frac{200}{0.4}[/tex]
Total cost, T = $500.
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Show that sec(x)-tan(x)sin(x)=cos(x)is an identity for any value of x.
Here is one way to show that the left side is identical to the right side.
[tex]\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\[/tex]
Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.
Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".
Expand & simplify
(x +3) (x-3)
Answer:
x^2 - 9
Step-by-step explanation:
Multiply parenthesis
x × x = x^2
x × -3 = -3x
3 × x = 3x
3 × -3 = -9
x^2 - 3x + 3x - 9
= x2 - 9
please help me ill mark as brainliest and its worth 50
Answer:
C [tex] \dfrac{9a^{12}}{b^3} [/tex]
Step-by-step explanation:
54/6 = 9
a^8 / a^-4 = a^{8 - (-4)} = a^12
b^2 / b^5 = b^-3 = 1/b^3
Answer: C [tex] \dfrac{9a^{12}}{b^3} [/tex]
Answer:
Option C
Step-by-step explanation:
[tex] \sf \dfrac{54 {a}^{8} {b}^{2} }{6 {a}^{ - 4} {b}^{5} } [/tex]
We know that
[tex] \sf \: \frac{ {a}^{m} }{a {}^{n} } = a {}^{m - n} [/tex]
[tex] \sf 9 \dfrac{a {}^{8} {b}^{2} }{ {a}^{ - 4} {b}^{5} } [/tex]
[tex] \sf \: 9 \dfrac{ {a}^{8 - ( - 4)} b {}^{(2 - 5)} }{1} [/tex]
[tex] \sf \: 9 \dfrac{ {a}^{12}b {}^{ - 3} }{1} [/tex]
[tex] \sf \: \dfrac{9 {a}^{12} }{ {b}^{3} } [/tex]
The dot product of u ∙ u = 45 what is the length of u?
Answer:
67 hah why you solve this
[tex]\textbf{u} \cdot \textbf{u} = 45\\\\\implies |\textbf{u}|^2 =45\\\\\implies |\textbf{u}| = 3\sqrt{5}[/tex]
5. A spool of nbbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, how much remains on the spool? 26 fee 22 feet 20 feed 18 fed
Answer:
It is 18 feet
Step-by-step explanation:
The remaining spoon of ribbon will be; 22 feet.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that a spool of ribbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, then
WE need to find the remaining spoon of ribbon after excluding the 2 yards of ribbon.
The remaining spool can be calculated by the difference;
24 feet of ribbon - 2 yards of ribbon
24 - 2 = 22
Therefore, the remaining spoon of ribbon will be; 22 feet.
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Determine the value of cos 45 X 29
Answer:
20.50609665
around 20.506
look at picture for problem
how many times larger is 2 x 10[12] than 5 x 10[6]
Answer:
Step-by-step explanation:
2 x 10¹² / 5 x 10⁶ = 2/5 x 10⁽¹²⁻⁶⁾ = 0.4 x 10⁶ = 4 x 10⁵
PLz HELP ME NOW AND I WILL MARK U BRAINLIEST
Answer:
56
Step-by-step explanation:
cross multiply
0.06z - 0.36 = 3
0.06z = 3.36
z = 56
What is the equation for the line that is perpendicular to 4x + 2y = 9 that goes through the point (- 8, 5)?
Answer:
[tex]y=\frac{1}{2} x+9.[/tex]
Step-by-step explanation:
1) all the perpendicular lines are: 2x-4y=C, where C - unknown number;
2) if to substitute the coordinates (-8;5) into 2x-4y=C, then C=2*(-8)-4*5= -36;
3) if C= -36, then the required equation is: 2x-4y=-36 or y=1/2 x +9.
I WILL GIVE BRAINLEST AND 50 POINTS
Katrina was training for a race. The line plot below shows the number of miles Katrina ran last week.
3. How many times did Katrina run 1 mile?
Answer:
Katrina ran 1 mile 3 times! I hope this helps you!
How ur wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at the end of one year, including the interest?
The amount Howie need to pay back at the end of one year, including the interest is $26,000
Given:
Interest rate = 4%
Cost of car = $25,000
Time = 1 year
Amount of interest = Principal × Rate × Time
= 25,000 × 4% × 1
= 25,000 × 0.04 × 1
= $1,000
Amount to be paid = Amount of interest + Cost of car
= 1,000 + 25,000
= $26,000
Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000
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The amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.
What is simple interest?Simple interest is a finance charge that does not compound. It is calculated on the principal portion of a loan only.
The formula for computing simple interest is Principal x APR x Number of years.
Data and Calculations:Car loan = $25,000
Simple interest rate = 4%
Period of loan = 1 year
Principal + Interest for 1 year = $26,000 ($25,000 x 4% x 1).
Thus, the amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.
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pls solve this equation for brainliest 2a+2=8?
Answer:
a=3
Step-by-step explanation:
you subtract 2 from both sides of the equation you simplify it and then you divide both sides of the equation by the same term and then simplify it again
Answer:
a=3
Step-by-step explanation:
Help me find this question
Answer:
n=5
6n^2-15=6(5)^2-15 -> add 15 to both sides
6n^2=6(5)^2 -> divide both sides by 6
n^2=5^2 -> sqr both sides
n=5
the price of a stock rose from a yearly low of $9.68 to $18.61. what was the stock percent increase from its low price that year?
please help me, thankyou
Answer:
From the time Ms. Cruz purchased a stock till closing time that day, the value of the stock changed by -27.2 points. During that time, the stock value
changed at a steady rate of -6.4 points per hour.
How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?
Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)[/tex]
but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))[/tex]
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)[/tex]
Guys please i need help on this, i will give brainliest to the right answers
Answer:
3x + 3
Step-by-step explanation:
yeah-ya........ right?
Which equation is an example of the identity property of addition?
O A. 6.5 = 1
O B. 6+0= 6
O C. 6+(-6)=0
O D. 6.1= 6
HELPPP! ILL GIVE BRAINNLIST
Answer:
B.
Step-by-step explanation:
Adding 0 to 6 gives the same value (6).
Zero is called the Identity element of Addition,
[tex]-2cos^{2} x-6sinx-1=0[/tex]
Please help!!
Thank you!
Vertical intercept (0,--3 I solved it by graph and trust myanswer
like my answer and brainliest
An 80 ounce bottle of apple juice contains 32 ounces of water and 64 ounce bottle of orange juice has 48 ounces of water which juice has a greater percent of water?
QD = 20000 -3P QS = 15000 +2P
The equilibrium price of the commodity at the given demand and supply is 1,000.
The given parameters:
Quantity demanded, QD = 20,000 - 3PQuantity supplied, QS = 15,000 + 2PThe equilibrium price of the commodity is calculated as follows;
At equilibrium price, the demand curve and supply curve cross each other.
[tex]QS= QD\\\\15,000 +2P = 20,000 - 3P\\\\2P+3P = 20,000 - 15,000\\\\5P = 5,000[/tex]
[tex]P = \frac{5,000}{5} \\\\P = 1,000[/tex]
Thus, the equilibrium price of the commodity is 1,000.
The complete question is below;
Determine the equilibrium price, if QD = 20000 -3P and QS = 15000 +2P.
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Monroe uses a microscope observe specimens in science class. The Microscope enlarges objects to 100 times their actual size. Find the size of each specimen as seen in the microscope. Monroe Teacher wants each student to draw a sketch of the longest specimen? Seen through the microscope, a specimen is 0.75 cm long. What is it actual length?
Answer:
0.0075 centimeters long
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
L x 100 = 0.75 cm
The actual length of the specimen = L
The actual length of the specimen is 0.0075 cm
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Seen through the microscope, a specimen is 0.75 cm long.
The Microscope enlarges objects to 100 times their actual size.
This means,
Let the actual length of the specimen = L
Now,
L x 100 = 0.75 cm
The actual length of the specimen.
L x 100 = 0.75 cm
L = 0.75 / 100
L = 75/10000
L = 0.0075 cm
Thus,
The actual length of the specimen is 0.0075 cm
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Round 743,214 to nearest ten thousand
I do not know how to do this
help wit this please
Answer:
1: Out: 5, 8, 11, 14
2: Out: 2, 7, 10, 11
3: Out: 11 Rule: Add 4
4: Out: 6 Rule: Add 4
Help on this algebra 2 question!!!!!!
Answer:
C.
Ax + 1 = x A + 1
Bx + 2 = x B + 2
Cx + 3 = x C + 3
A = x C + 3
B = x C + 3
C = x C + 3
I'm not really sure about the answer but i hope it helps
A scale drawing for a backyard is shown below.
In the drawing, 1 cm represents 4 m.
Assuming the patio is rectangular, find the area of the real patio.
-6 cm
-3 cm-
Patio
2 cm
Lawn
2 cm
Answer:
The area of real patio is 50m².
Step-by-step explanation:
Given,
Length of patio = 3 cm
Width of patio = 6 cm
According to scale =
3 cm = 5m
1 cm = \frac{5}{3}\ m35 m
6 cm = \frac{5}{3}*6 = 10\ m35∗6=10 m
Real length of patio = 5 m
Real width of patio = 10 m
Area = Length*width
\begin{gathered}Area=5*10\\Area=50\ m^2\end{gathered}
Area=5∗10Area=50 m2
The area of real patio is 50m².
32) Out of 525 people surveyed, 210 answered yes. Estimate how many people would answer yes if 900
people were surveyed.
Answer:
360 people
Step-by-step explanation:
[tex]\frac{ 210}{525}*900[/tex][tex]=360[/tex]
Hope this helped! :)
You want to create an orange color in order to paint the Oriole’s Bird. You have the colors yellow and red to make the orange paint. The recipe for Oriole’s orange paint is 1/2 cup yellow paint to 1/4 cup red paint. Using this ratio:
Part 1: How much yellow paint do you need to combine with one cup of red paint?
Part 2: How much red paint do you need to combine with one cup of yellow paint?
Each snap cube represents 1/4 cup of paint.
Answer:
Adult males are flame-orange and black, with a solid-black head and one white bar on their black wings. Females and immature males are yellow-orange on the breast, grayish on the head and back, with two bold white wing bars
Given f(x), match each expression to its correct value
Answer:
-11, f(-5) 1
Step-by-step explanation: