The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 3 ft long with a diameter of 2.4 ft . Suppose gas is poured into the tank at a rate of 2.5 ft 3 per minute. How many minutes does it take to fill the empty tank? Use the value 3.14 for π , and round your answer to the nearest minute. Do not round any intermediate computations.
STVU is an isosceles trapezoid. If SV = 3x - 11 and TU = x + 13, find the value of x
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve the equation for x and round your answer to the nearest hundreth. 5 = ln(x + 1)
Solve for number 9 please:)
Kite WXYZ is graphed on a coordinate plane. What is the area of the kite? 7 square units 8 square units 14 square units 16 square units
The area of the kite will be equal to 14 sq. units
What is an area?
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the Kite in a two-dimensional plane is called the area of the kite.
The area of the kite can be found as follows;
Area = [area of XWY] + [areaYWZ]
Area XWY = 1/2 x b x h
Area XWY = 1/2 x 4 x 3 = 6 sq units
Area YWZ = 1/2 x b x h
Area YWZ = 1/2 x 4 x 4 = 8 sq units
Hence the area of the kite will be:
Area = 6 + 8 = 14 sq. units
Therefore the area of the kite will be equal to 14 sq. units
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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
How many different id cards can be made if there are 5 digits on a card and no digit can be repeated?
if no numbers can repeat then you have
1st digit = 10 numbers
2nd digit = 9 numbers
3rd digit = 8 numbers
4th digit = 7 numbers
5th digit = 6 numbers
10 * 9 * 8 * 7 *6 =30,240 different combinations
There are 30,240 different ID cards that can be made with 5 digits where no digit can be repeated, calculated as a permutation of 10 choices taken 5 at a time without replacement.
Explanation:The question asks us to determine how many different ID cards can be made with 5 digits where no digit can be repeated. This is a problem of permutations where the order of the digits matters. We have 10 possible digits (0-9), and we need to choose 5 of them without repetition.
For the first digit, we have 10 choices (0-9). Once we choose the first digit, we have 9 choices left for the second digit (since one digit is already used and can't be repeated). Continuing this pattern, we have 8 choices for the third digit, 7 choices for the fourth digit, and 6 choices for the fifth digit.
The total number of different ID cards is calculated by multiplying these choices:
10 choices for the first digit9 choices for the second digit8 choices for the third digit7 choices for the fourth digit6 choices for the fifth digitThe calculation is 10 x 9 x 8 x 7 x 6, which equals 30,240 different ID cards.
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
A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house?
The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 120, 0. The vertex is at 60, 35.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height?
Part B: What is an approximate average rate of change of the graph from x = 20 to x = 35, and what does this rate represent?
Answer:
i have the image of the tunnel and here is my work
Part B: x=20 y=20 x=35 y=60 so {60-20}/{35-20}=40/15=2.6
hope this helps
Matt is five years older than twice his cousin andy’s age. the sum of their ages is less than 35. what is the greatest age that andy could be?
2|x+1/4|=6
Can someone help me please, I'm so confused
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.
The price of a new pair of shoes is $52.00. If you order them directly from the company on the internet, you can save money and the price is only $42.64. What is the percent change?
Answer:
It will be 18% decrease, Because they said they lowered the price.
Step-by-step explanation:
The percentage decrease in buying shoes on the internet with respect to shop is 18%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction of 100.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Price in shop = $52.00
Prince in online = $42.64
The percentage decrease with respect to price in the shop ⇒
(Price in shop - Prince in online)/(Price in the shop) × 100
⇒ (52 - 42.64)/52 × 100
⇒ (9.36/52) × 100
⇒ 18%
Hence "The percentage decrease in buying shoes on the internet with respect to shop is 18%".
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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.
What's four minus (-2)
Which of the following is equivalent to 5√13^3?
A) 13^2
B) 13^15
C) 13^5/3
D) 13^3/5
If 2+2=4 why is the answer fish
HELP PLEASE!!!! :((((((((
Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?
A mail distribution center processes as many as 150,000 pieces of mail each day. The mail is sent via ground and air. Each land carrier takes 1800 pieces per load and each air carrier 1500 pieces per load. The loading equipment is able to handle as many as 150 loads per day. Let x be the number of loads by land carriers and y the number of loads by air carriers. Which system of inequalities represents this situation? Click on the correct answer. 1500x + 1800y ≥ 150,000 x + y ≤ 150 1800x + 1500y ≤ 150,000 x + y ≤ 150 1800x + 1500y ≥ 150,000 x + y ≥ 150 1500x + 1800y ≤ 150,000 x + y ≤ 150
x = land carriers = 1800x
y = air carries = 1500y
as many as means up to that amount so <=150000 and <= 150
so equation is:
1800x + 1500y ≤ 150,000 x + y ≤ 150
The correct system of inequalities for this problem is: 1500x + 1800y ≤ 150,000 and x + y ≤ 150 - representing mail distribution limitations of a center.
Explanation:In order for the mail distribution center to process the maximum amount of mail (150,000 pieces) with the available resources, the inequalities should be framed as follows:
The total pieces of mail loaded should be equal to or less than 150,000: 1500x + 1800y ≤ 150,000The total loads done by air and land carriers should not exceed the limit of 150: x + y ≤ 150This mathematical model sets the limitations of the mail distribution process and can be used to predict the optimal allocation of mail to air and land carriers.
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the product of 18 and q
The product of 18 and q is expressed as 18q in an algebraic expression, representing the multiplication of 18 by a variable, q. The value of the expression depends on what value q has.
Explanation:The phrase 'the product of 18 and q' is a mathematical term used in algebra. It represents the multiplication of 18 and a variable 'q'. In algebraic expression, it can be written as 18q, where 18 is the constant multiplicand, and 'q' is the variable multiplier. The value of this product depends on the value of 'q'. For example, if q is 2, the product of 18 and q would be 36.
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A man travels from town x to town y at an average rate of 60 mph and returns at an average rate of 50 mph. He takes a 1/2 hour longer than he would take if he mage the round trip at an average of 55 mph. What is the distance from town x to town y
D/60 + D/50 = 2D/55 - 1/2
find common denominator ( 3300)
3300/60 = 55
3300/50 = 66
3300/55=60
so then you get 55D +66D= 60(2D)-1650
121D=120D-1650
D=1650 miles
check
1650/60 =27.5, 1650/50 = 33, 27.5 + 33 = 60.5 hours total
1650/55 = 30, 30 x 2 = 60
60.5-60 = 0.5 longer
so distance = 1650 miles
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
Find the indicated critical z value. Find zα/2 for α = 0.08
To find the critical z value for α = 0.08, we first divide α by 2 to get 0.04. This value corresponds to the tail regions in a two-tailed test. We then lookup or calculate the z value associated with a cumulative probability of 0.04, which gives us a z value of approximately 1.75.
Explanation:The question is about finding the indicated critical z value. In statistics, critical values are used to make decisions about the null hypothesis in hypothesis testing. When α = 0.08, α/2 = 0.04 which refers to the tail regions in a two-tailed test.
First, we find the z value associated with α/2=0.04. This is found by looking at a standard z-table, or using a statistical calculator or a software tool that can calculate the inverse of the standard normal cumulative distribution function. For α/2=0.04, the z value is approximately 1.75.
Therefore, the critical z value (zα/2) is approximately 1.75.
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Which statement is correct when a scatterplot is constructed? A.The independent variable is the input variable and should be represented by the x-axis. B.The independent variable is the input variable and should be represented by the y-axis. C.The dependent variable is the input variable and should be represented by the x-axis. D.The dependent variable is the input variable and should be represented by the y-axis.
Answer:- A.The independent variable is the input variable and should be represented by the x-axis.
Explanation:-
A. Correct.
B. Not correct.
Reason:- The independent variable is the input variable and should be represented by the x-axis.
C. Not correct.
Reason:- The dependent variable is the output variable and should be represented by y-axis.
D. Not correct.
Reason:-The dependent variable is the output variable and should be represented by y-axis.
Answer:
A.The independent variable is the input variable and should be represented by the x-axis.
Step-by-step explanation:
It was right on the test.
Find the truth set of each of these predicates where the domain is the set of integers.
a.p(x): x3 ≥ 1
b.q(x): x2 =2
c.r(x): x < x2
Twelve employees were sick. If the company has 360 employees, what percent of the employees were sick on Monday? Round to the nearest tenth.
How long does it take to drive 25 miles at 60 mph?
60 mph = 1 mile per minute ( 60 minutes per hour)
so it would take 25 minutes to drive 25 miles
Answer:
25 min
Step-by-step explanation:
25/60=5/12=25 min
State how many imaginary and real zeros the function has. f(x) = x^5+7x^4+2x^3+14x^2+x+7
Since the degree of the equation is 5, then the number of zeros is also equal to 5. We can find for the 1st value of the root by trial and error. To do this, we find for the value of x which makes the equation equal to zero, that is:
x^5 + 7x^4 + 2x^3 + 14x^2 + x + 7 = 0 (find x)
By trial and error I made (which I will not show anymore), the possible root is -7. This is equivalent to x + 7.
To find more roots, we divide x^5 + 7x^4 + 2x^3 + 14x^2 + x + 7 by x + 7. The answer of the division results in x^4 + 2x^2 + 1 which is a perfect square trinomial in the form of:
(x^2 + 1)^2
Therefore the other 4 roots are:
x^2 + 1 = 0 ---> i, -i
and
x^2 + 1 = 0 ---> i, -i
Therefore the answer is:
1 real and 4 imaginary zeros