A car travels at an average speed of 52 miles per hour. how many miles does it travel in 3 hours and 30 minutes?
Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?
can someone help me with this question
find the arc length of a central angle of 90° in a circle whose radius is 4 inches
Answer:
2 pie in
source: Trust me bro
A rectangular yard measuring 41ft by 60ft is bordered (and surrounded) by a fence. Inside, a walk that is 4ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.
Anyone wanna help? I'd really appreciate it.
area of yard = 41 x 60 = 2460 square feet
walk is 4 feet wide
41-4 =37, 60-4 = 56
37*56 = 2072
2460-2072 = 388
area of walk is 388 square feet
suppose you buy a CD for $500 that's earns 3% APR and is compounded quarterly. The CD matures in 3 years. Assume that if funds are with drawn before the CD matures, the early withdrawal fee is 3 months interest. what is the early withdrawal fee on this account?
Answer:
The answer is $3.75
Step-by-step explanation:
P = $500
r = 3% = 0.03
n = 4
t =[tex]3/12=1/4[/tex]
Now compound interest formula is :
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting the values in formula we get,
[tex]A=500(1+\frac{0.03}{4})^{4*1/4}[/tex]
[tex]A=500(1.0075})^{1}[/tex]
= $503.75
Now, withdrawal fee = amount paid - principle
=> [tex]503.75-500=3.75[/tex] dollars.
So, the answer is $3.75.
Tom has deposited $500 in an account which earns 2% interest each year. Which expression correctly shows the total value of his account after 3 years?
A) 500 + 0.02 + 0.02 + 0.02
B) 500 + 0.02[500 + 0.02(500 + 0.02*500)]
C) 500 + 0.02*0.02*0.02(500)
D) 500 + 3(0.02)500
In how many different ways can a group of 9 people be divided into 3 groups, with each group containing 3 people?
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3 kid's meal for his little brother. Charlie has $27. How much can he spend on each sandwich if they are all the same price? Choose two answers: one for the inequality that models this situation and one for the correct answer. A. Inequality: 3x + 6 < 27 B. Inequality: 6x + 3 ≤ 27 C. Inequality: 6x + 3 ≥ 27 D. Inequality: 3x + 6 ≥ 27 E. Answer: $7 or less F. Answer: $4 or less
Answer-
The inequality that models this situation is,
[tex]\boxed{\boxed{B.\ 6x+3\leq 27}}[/tex]
Solution-
The total money Charlie has = $27
He wants to order 6 sandwiches and a kid's meal of $3
Let us assume the price of each sandwiches is x.
So, the amount he will be spending for sandwiches is $6x
The total amount he will be spending is $(6x+3)
As he has only $27, so he can spend any amount less than or equal to 27
So the inequality becomes,
[tex]\Rightarrow 6x+3\leq 27[/tex]
Therefore, the inequality that models this situation is [tex]6x+3\leq 27[/tex]
Which of the following is the number 0.008005 written in scientific notation?
A. 8.005 x 10(squared)
B. 8.500 x 10(to the negative third power)
C. 8.005 x 10(to the negative fourth power)
D. 8.005 x 10(to the negative third power
If y=m^4=n^3 and y is greater than 1, then mn=
If we equate the two given equations y = m^4 and y = n^3, we can express mn as m^(7/3) or as n^(7/4). This is done by taking the cube root and square root on both sides of the equated equation to isolate m and n.
Explanation:If we have two equations, y = m^4 and y = n^3, where y > 1, we can equate these two equations since they are both equal to same value 'y'. So the equation will be m^4 = n^3. To find the value of mn, we want to express it in terms of 'y'. So we take cube root on both sides, it will be m = (n^3)^(1/4) = n^(3/4). And square root on both sides will give n = (m^4)^(1/3) = m^(4/3). Now mn = m * m^(4/3) = m^(1 + 4/3) = m^(7/3). Similarly, mn = n * n^(3/4) = n^(1 + 3/4) = n^(7/4). Hence, mn can be expressed either as m^(7/3) or n^(7/4).
Learn more about Algebraic Equations here:https://brainly.com/question/953809
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How do bearing in Gr11 trig work? I was doing this question and I can't seem to get the right answer: The observation deck on a tower is 166m above the tower, a tourist notices two boats on water from above.
- the bearing of boat A is 180, at an angle of depression of 40
- the bearing of boat B is 250, at an angle of depression of 34
Calculate the distance between the two boats.
Please help, thank you!
Give an equation for a horizontal line and a vertical line. what are the slopes of each line
Answer:
1 + 1 = 2
2 - 1 = 1
The line's slopes are cute
Step-by-step explanation:
I hope your lines enjoy their equations, you are a great parent to your lines. =D
A 3 kg toy car rests st the top of a 0.45 meter ramp. What is its gravitational potential energy?
The gravitational potential energy of a 3 kg toy car resting at the top of a 0.45-meter ramp is calculated using the formula PE = mgh, giving us a result of 13.2385 Joules.
The calculation of gravitational potential energy for a 3 kg toy car at the top of a 0.45-meter ramp. Gravitational potential energy (PE) is calculated using the formula PE = mgh, where m stands for mass, g is the acceleration due to gravity (usually 9.81 m/s² on Earth's surface), and h is the height above the reference point. In this case, PE = 3 kg × 9.81 m/s² × 0.45 m, which gives us a gravitational potential energy of 13.2385 Joules. As the car is at rest on the top of the ramp and has not yet moved, its potential energy is at its maximum at that point.
Solve for F. Let m=5, a=3 F=ma
WILL GIVE BRAINLIEST PLEASE HELP!!!
Which of the following equals 1/16 when evaluating f (–2)?
A.
f(x)=2^(x-2)
B.
f(x)=-2^(x-6)
C.
f(x)=-2^(n-2)
D.
f(x)=2^(n-8)
Which of the following is equivalent to 5√13^3?
A) 13^2
B) 13^15
C) 13^5/3
D) 13^3/5
STVU is an isosceles trapezoid. If SV = 3x - 11 and TU = x + 13, find the value of x
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is 1,627,187 rounded to the nearest ten?
If you multiply me by 3 and increase that value by 3 I am 20. What's my number?
To win a state "A" lottery, one must correctly select 5 numbers from a collection of 50 numbers (1 through 50). The order in which the selection is made does not matter. The neighboring state "B" has a lottery where one must correctly select 6 numbers from a collection of 60. Which lottery would you rather play? Support your choice with mathematical calculations.
What is 10(x+7) if x=6 ?
The graph of a function is shown: scatterplot of the following points: negative 3 and 2, negative 2 and negative 1, 2 and negative 1, and 3 and 3 Which of the following correctly identifies the set of outputs?
Answer:
{–2, 1, 2, 5}
Step-by-step explanation:
i got it right on the test lol
How many real solutions does the equation: x2-7x+10=0 have?
What's four minus (-2)
How do units help you to better understand a problem? How do units sometimes get in the way of solving a problem?
Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the function.
(x): 0, 1, 2, 3, 4
f(x): 14, 12.6, 11.34, 10.206, 9.185
A) Exponential; y=14(0.10)^x
B) Linear; y= -1.2024x + 13.871
C) Exponential; y= 14(0.90)^x
D) Linear; 18.871x - 1.2024
Please explain you answer. Please someone help me, I'm in need of some help.
Answer:
simplified answer: its letter c
Step-by-step explanation:
Given cos A = .29 find the angle A in radians. Round your answer to the nearest hundredth.Answer 1.19 radians 1.28 radians 1.34 radians 1.46 radians
Answer: The correct option is (B) 1.28 radians.
Step-by-step explanation: We are given that for an angle A :
[tex]\cos A=0.29.[/tex]
We are to find the measure of angle A in radians.
We know that the relation between degree and radians is given by
[tex]80^\circ=\pi~\textup{radians}\\\\\\\Rightarrow 180^\circ=\dfrac{22}{7}~\textup{radians}.[/tex]
Now, we have
[tex]\cos A=0.29\\\\\Rightarrow A=\cos^{-1}(0.29)\\\\\\\Rightarrow A=73.14^\circ.[/tex]
Again,
[tex]180^\circ=\dfrac{22}{7}\\\\\Rightarrow 1^\circ=\dfrac{22}{7\times180}\\\\\Rightarrow 73.14^\circ=\dfrac{22}{1260}\times73.14=1.277=1.28~\textup{radians}.[/tex]
Thus, the measure of angle A in radians is 1.28 radians.
Option (B) is CORRECT.
Find the three arithmetic means between 7 and 21
how can the properties of exponents help solve exponential equations?
The properties of exponents and logarithms allow for simplifying and solving exponential equations by manipulating exponents, such as multiplying and dividing quantities, raising a power to another power, and using the inverse relationship between exponents and logarithms.
Explanation:The properties of exponents are essential for solving exponential equations because they allow for the manipulation of the equations into forms that are easier to solve. The exponential and natural logarithm are inverse functions, meaning ln (e^x) = x and e^(ln x) = x. By using this relationship, any base number b can be expressed as e^(ln b), making complex calculations more manageable.
When multiplying exponential quantities, we can apply the rule where the exponents are added together, such as in (a^m) × (a^n) = a^(m + n). If we raise an exponent to another power, we multiply the exponents, which is depicted in the example of (5^3)^4 = 5^(3×4) = 5^12. Similarly, dividing exponential quantities involves subtracting exponents, and an exponential raised to a negative exponent signifies an inversion.
The logarithmic properties also come into play when working with exponents. The logarithm of a product is the sum of the logarithms: log(xy) = log(x) + log(y). This is useful when solving exponential equations since logarithms can help linearize them, making it easier to isolate the variable and find the solution.