Answer:
sales tax is 31 dollars and 53 cents
Step-by-step explanation:
You want the sales tax in dollars and cents.
so
Sales tax = 6% * $525.50 = 0.06* $525.5 = $31.53
Please help me now please
I will mark you brainliest
Answer:
[tex] BC = 15.01 [/tex]
Step-by-step explanation:
Angle A is given.
For angle A, BC is the opposite leg.
For angle A, AC is the adjacent leg.
The trig ratio that relates the opposite leg to the adjacent leg is the tangent.
In general, for angle X,
[tex] \tan X = \dfrac{opp}{adj} [/tex]
In our problem,
[tex]\tan A = \dfrac{BC}{AC}[/tex]
[tex] \tan 65^\circ = \dfrac{BC}{7} [/tex]
[tex] BC = 7 \tan 65^\circ [/tex]
[tex] BC = 15.01 [/tex]
A spinner has five equal sectors colored red, yellow, green, blue, orange. What is the
probability of landing on a yellow first and then on a blue sector after two consecutive
spins?
Answer: 5/25
5/50
Step-by-step explanation: If each part has 5 sections then it equals to 25 so you have a 5 out of 25 chance of getting it, The second time I added 25 twice since it says your spinning it twice, but you still only have 5 sections so you would have 5 out of 50
The calculated probability is 4 percent.
The student's question involves calculating the probability of two independent events occurring in sequence. Since each sector on the spinner is equal, the probability of landing on yellow for the first spin is 1 out of 5 or 0.2. Similarly, the probability of landing on blue for the second spin is also 1 out of 5 or 0.2.
Since these are independent events, their probabilities are multiplied to find the combined probability. Therefore, the probability of landing on yellow first and then on blue for the second spin is 0.2 * 0.2 = 0.04. This means there is a 4 percent chance of this outcome occurring.
Solve for x to the nearest hundredth
3^x=38
Answer:
The value of x is 3.31 to the nearest hundredthStep-by-step explanation:
Given the equation [tex]3^{x} = 38[/tex], to calculate the value of x the following steps must be carried out;
Step 1;
Take the natural logarithm of both sides
[tex]ln3^{x}=ln38\\ xln3 = ln38[/tex]
Step 2;
Divide both sides by ln3
[tex]xln3/ln3=ln38/ln3\\x=ln38/ln3\\x=3.31[/tex]
The value of x is 3.31 to the nearest hundredth
Choose the fraction that is equal to 0.245 A. 49/10 B. 245/999 C. 245/900 D. 245/1000
Final answer:
The correct fraction equal to the decimal 0.245 is 245/1000, which is option D in the given choices. This is determined by looking at the place value of the decimal and converting it into a fraction by placing the number over the corresponding power of ten.
Explanation:
To choose the fraction equal to 0.245, we need to convert the decimal to a fraction. To do this, we look at the place value of the farthest digit to the right in the decimal, which is in the thousandths place, since 0.245 can be written as 245 thousandths. Thus, the fraction is 245 over 1000, which simplifies to 245/1000.
Looking at the given options, we can see that option D is 245/1000, which is equivalent to the decimal 0.245. Therefore, the correct answer is D. Additionally, if we were to divide 1.9436 by 1000 as in your provided example for converting decimals and fractions, we would have 0.0019436. Similarly, to change the decimal 0.0479 to a number from 1 to 10, we move the decimal point two places to the right, obtaining 4.79, which shows an understanding of decimal and fraction conversion.
pls pls pls help me i would appreciate if u help me
Answer: I believe that the answer is B
Step-by-step explanation: The square root of 3 is an irrational number and 2 is a rational number thereby eliminating answer choices C and D. Thereafter, the product of the two numbers is 3.46410161514 which I believe to be an irrational number therefore eliminating A and B is your correct answer
Answer:
the answer is B
Step-by-step explanation:
Please help me with this problem
Answer:
Step-by-step explanation:
x - 2 is a factor. Therefore, P(2) = 0
P(x) = x³ - 4x² + 3x + c
P(2) = 0
2³ - 4*(2)² + 3*2 + c = 0
8 - 4*4 +6 +c = 0
8 - 16 + 6 + c = 0
-2 + c = 0
c = 2
A cone has height of 16 inches and a radius of 14 inches. What is it’s volume?
Answer:
v= 3284.01 in
Step-by-step explanation:
Counting the cubes of the object by height and radius that will give you the volume of 3284.01 inches.
what is the mode of the following data set? 4, 5, 7, 3, 0, 2, 7, 7, 1, 9, 0, 0, 1, 8, 9, 9, 7
Answer:
7
Step-by-step explanation:
The mode is the number you see the most you you just count how many numbers there are and whichever one has the most occurrence is your answer
Final answer:
The mode of the data set 4, 5, 7, 3, 0, 2, 7, 7, 1, 9, 0, 0, 1, 8, 9, 9, 7 is 7.
Explanation:
The mode of a data set is the value that appears most frequently. In the provided data set of 4, 5, 7, 3, 0, 2, 7, 7, 1, 9, 0, 0, 1, 8, 9, 9, 7, the mode is 7 because it appears the most times.
What is the size of the sample space?
Could you be more specific?
Answer:
the answer is 36
Step-by-step explanation: i took the test
Write the ratio as a fraction in simplest form.
25 to 45
The ratio as a fraction in simplest form is
The ratio 25 to 45 would be expressed as a fraction in simplest form as: 5/9.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
If a ratio of two quantities, a and b, is given as a to b, it can be expressed as a fraction as: a/b.
We have been given the ratio 25 to 45, this will be expressed as:
25/45
Now Simplify further by dividing the numerator and the denominator by 5.
Thus:
25/45 = 5/9
Therefore, the ratio expressed as a fraction: 5/9.
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Final answer:
To simplify the ratio 25 to 45, express it as the fraction 25/45 and then reduce by the greatest common divisor, which is 5. The simplified fraction is 5/9.
Explanation:
To write the ratio 25 to 45 as a fraction in the simplest form, you first write it as a fraction: 25/45. Next, you need to simplify the fraction by finding the greatest common divisor (GCD) of both the numerator (25) and the denominator (45). The GCD of 25 and 45 is 5. Now, divide both the numerator and denominator by 5 to simplify:
25 ÷ 5 = 5
45 ÷ 5 = 9
Therefore, the fraction in simplest form is 5/9.
Thomas is building rectangular boxes. The table shows the area in square feet, f(x), of the bottom of a box when one side of the box is x feet long.
x 1 2 3 4 5
f(x) 2 8 18 32 50
A f(x)= x^2+2x
B f(x)= x^2/2
C f(x)=2x^2
D f(x)=2x
Answer:
Your answer is 2x^2
Step-by-step explanation:
Answer:
C on edg
Step-by-step explanation:
Determine the solution to the system of equations below.
x - 3y = 1
3x-5y = 11
Final answer:
To solve the system of equations, use the method of substitution. Solve one equation for one variable and substitute the value in the other equation. Simplify and solve for the variable, then find the value of the other variable. The solution to the system is x = 7 and y = 2.
Explanation:
To determine the solution to the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.
Step 1: Solve one equation for one variable
From the first equation, we can isolate x: x = 1 + 3y
Step 2: Substitute the value of the variable in the other equation
Substitute x = 1 + 3y into the second equation: 3(1 + 3y) - 5y = 11
Step 3: Simplify and solve for y
Expand the equation and simplify: 3 + 9y - 5y = 11
Combine like terms: 9y - 5y = 11 - 3
Simplify: 4y = 8
Solve for y: y = 2
Step 4: Find the value of the other variable
Substitute the value of y into the first equation: x - 3(2) = 1
Simplify and solve for x: x - 6 = 1
x = 7
Therefore, the solution to the system of equations is x = 7 and y = 2.
how many cups are in three pints
Answer:
6 us cups
Step-by-step explanation:
1 pint is equal to 2 cups
Answer:
12
Step-by-step explanation:
There are 4 pints in a gallon and 4 cups in each pint
There are 25 people in a classroom. Each person shakes each other person's hand once
and only once. How many handshakes were there altogether?
Answer:
13
Step-by-step explanation:
13 because there pretend there is 24 people then it would be 12 but then there is one left over so 13 because somebody would have to shake hands with that person
b. What is the probability that you don’t roll a 2 or a 3, P (NOT a 2 or 3)? Explain your reasoning. (2 points possible)
1. In a game, if you roll a 2 or a 3 on a 6-sided number cube, you lose a turn. NOTE: This is just using one number cube.
Answer:
The probability that you don’t roll a 2 or a 3 = 2/3
Step-by-step explanation:
Formula for Probability = Number of Possible Outcomes / Number of events
We are told in the question that it is just a one number cube. This means that :
We have the Probability of rolling the 6 sided cube and obtaining, 1, 2, 3, 4, 5, and 6.
We are told in the question to find the probability of not rolling a 2 or 3.
Hence, this means
Probability( not a 2 or 3) = Probability( of a 1 or 4 or 5 or 6).
Therefore,
Probability (of rolling a 1) = 1/6
Probability (of rolling a 4) = 1/6
Probability (of rolling a 5) = 1/6
Probability (of rolling a 6) = 1/6
Therefore, Probability( not a 2 or 3) = Probability( of a 1 or 4 or 5 or 6) = P(1) + P(4) + P(5) + P(6)
= 1/6 +1/6 + 1/6 + 1/6
= 4/6
= 2/3.
Therefore, the probability that you did not roll a 2 or 3 ( i.e P( not 2 or 3)) = 2/3
The graph of f "(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is true?
The graph of f has a relative maximum at x = 0.
The graph of f has a relative minimum at x = 0.
The graph of f has an inflection point at x = 0.
The graph of f has an x-intercept at x = 0.
Thank you in advance!
Answer:
The graph of f has an inflection point at x = 0.
Step-by-step explanation:
An inflection point occurs when the second derivative changes signs. Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.
The statements "The graph of f has an inflection point at x = 0." is true
X-interceptThe meaning of X-INTERCEPT is the x-coordinate of a point where a line, curve, or surface intersects the x-axis.
How to solve this problem?F''(x) tells you whether the function is concave up, down, or where it's inflection points are.F"(x)>0 tells you it's concave up.F"(x)<0 tells you it's concave down.F"(x)=0 tells you there's a possible point of inflection at xSince this function is continuous and decreasing, we can assume that before it intercepts x at 0, it is concave up and after it intercepts, it continues to decrease which makes it concave down. Since F"(x)=0 & there is a change in sign, the statement 'The graph of f has an inflection point at x = 0." is true.From above reasons we can say that the statement "The graph of f has an x-intercept at x = 0." is true
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Find the slope of the line that passes through (68, -3) and (69, 76)
Answer:
79
Step-by-step explanation:
Hope this helps!
Is x = 0 a valid potential solution to the equation log(x + 7) + log(x − 3) = 17? Question 9 options: A) No, because it isn't possible to take the logarithm of zero: log(0). B) No, because when x = 0, the second term is log(− 3), and it's impossible to take the logarithm of a negative number. C) Yes, logarithms are valid for any integer. D) No, because 17 isn't divisible by 7 or 3.
Answer:
its B
Step-by-step explanation:
No, x = 0 is not a valid solution for log(x + 7) + log(x − 3) = 17 .
Given,
log(x + 7) + log(x − 3) = 17
Here,
Substitute the value of x in the equation,
log(7) + log(-3) = 17
So,
log(-3) is not a valid number and thus its value does not exist .
Thus the equation can not be equated to 17 .
Hence option B is correct .
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Happy Paws charges $20.00 plus $5.50 per hour to keep a dog during the day. Woof Watchers charges $9.00 plus $6.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours. The equation is
Answer:
8.8 hours
Step-by-step explanation:
Happy paws cost equation
5.50h + 20
Wood watchers cost equation
6.75h + 9
Make the two equations equal
5.50h+20 = 6.75h+ 9
Collect the co-efficient of both sides.
6.75h- 5.50h= 20-9
1.25h= 11
Divide both sides by the coefficient of h
1.25h/1.25= 11/1.25
h= 8.8
Answer:
8.8 hours
Equation :20+5.50h = 9 + 6.75 h
Step-by-step explanation:
Hi, to answer this question we have to write a Cost equation for each case:
For Happy Paws the cost will be equal to the fixed cost (20) plus the product of the cost per hour (5.50) and the number of hours (h).
Happy paws cost: 20+5.50 h
Same process for Woof Watchers:
Woof Watchers cost = 9 + 6.75 h
If both costs are equal:
Happy paws cost=Woof Watchers cost
So:
20+5.50h = 9 + 6.75 h
Solving for h
20-9 = 6.75h-5.50h
11 = 1.25h
11/ 1.25 =h
8.8 = h
Feel free to ask for more if needed or if you did not understand something.
Which of the following is NOT in the solution set of the inequality -2g+3>-5g+5
Group of answer choices
-6
0
-2
3
the answer is 20 is not a solution
The fanumber of lowers is 14:6. total
The ratio of white flowers to the total
number of flowers is 4:6.
DRAG AND
Container 1: 18 flowers (6 pink + 12 white)
Container 2: 9 flowers (3 pink + 6 white)
Container 3: 15 flowers (10 white + 5 pink)
Container 1:
4 out of 6 flowers are pink, meaning 2 are white.To maintain the ratio, scale up the total number of flowers by a factor of 3 (6 / 2).Therefore, you need 18 flowers in Container 1 (6 pink + 12 white).Container 2:
1/3 of the flowers are pink, so 2/3 are white.Let x be the total number of flowers.Pink flowers: 1/3 * xWhite flowers: 2/3 * xSince the total number of flowers is x, we have 1/3 * x + 2/3 * x = x.Solving for x, we get x = 9 flowers (3 pink + 6 white).Container 3:
The ratio of white flowers to the total number of flowers is 4:6, meaning 2 parts are white and 3 parts are total.Let y be the total number of flowers.White flowers: 2/3 * yTotal flowers: ySince the total number of flowers is y, we have 2/3 * y = y.Solving for y, we get y = 15 flowers (10 white + 5 pink).What is the domain of the function represented by this graph?
the graph of a quadratic function y = x^2 – 4 with a minimum value at the point (0,-4)
A.
x ≥ 4
B.
x ≤ 0
C.
-2 ≤ x ≤ 2
D.
all real numbers
Answer: D
Step-by-step explanation:
all real numbers
The domain of the function should be all real numbers.
What are real numbers?Real numbers refer to the numbers that involved both rational and irrational numbers. Rational numbers like integers, fractions, etc while on the other hand, irrational numbers like the square roots numbers, etc.
Therefore, we can conclude that the domain of the function should be all real numbers.
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Evaluate the expression. a+b/c when a=to 24 b =36 and c =4
Answer:
(a + b)/c = 15
a + (b/c) = 33
Step-by-step explanation:
Evaluate the expression. a+b/c when a=to 24 b =36 and c =4
if you meant Evaluate (a + b)/c
then
(24 + 36) /4 = 60/4 = 15
or if you meant Evaluate a + (b/c) then
a + (b/c) = 24 + (36/4) = 24 + 9 =33
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 and an instrument?
Answer:
This picture doesn't have anything to do with instruments or sports. If the picture is right, the answer is 18/27 or about 68%.
Step-by-step explanation:
You calculate the total number of people in the class. It comes up to 27. Then you calculate how many of them is female. Then you divide.
What is the value of x?
10
8
Answer:
x=6
Step-by-step explanation:
E2020
The value of x will be 6 for the given triangle.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that in the right-angle triangle, the hypotenuse is 10, the base is 8 and the perpendicular is x.
The value of x will be calculated as:-
x² = 10² - 8²
x² = 100 - 64
x² = 64
x = √36
x = 6
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The orginal price of a toy was $15 if the price is reduced by 20% what is the new price of the toy
Answer:
$12
Step-by-step explanation:
You have to find what is 20% of 15 which is 3, and then subtract 3 from from 15, which is 12. Real simple!
SAT verbal scores are normally
distributed with a mean of 450
and a standard deviation of 120.
Determine what percent of the
scores lie between 450 and 570.
Answer:
The percentage of the scores lying between 450 and 750 is 49.4%
Step-by-step explanation:
In this question, we are simply asked to calculate the percentage of the scores lying between a particular range.
The first thing to do here is to calculate the z score of both scores
Mathematically, z score = (x - mean)/SD
for score 450, we have ; z = (450-450)/120 = 0/120 = 0
For score 750, we have z = (750-450)/120 =
2.5
Now, we move on to calculate the probability before turning it into a percentage.
The supposed probability we are to calculate is as follows;
P(450 < x < 750) or P(0 < z < 2.5)
Using standard score table, P = 0.49379
The percentage is thus 49.4%
6x+ 35=-7y slope intercept form
Answer:
y = -6/7x -5
Step-by-step explanation:
6x+ 35=-7y
Divide each side by -7
6x/(-7)+ 35/-7=-7y/-7
-6/7x -5 = y
Flipping the sides
y = -6/7x -5
This is slope intercept form
y = mx+b where m is the slope and b is the y intercept
Tom saves 35% of his salary . Jerry spends 3/5 of his salary and saves rthe rest of his salary work out who saves the most money each month you must show your working.
Final answer:
Jerry saves more money each month than Tom. Tom saves 35% of his salary, whereas Jerry spends 3/5 and saves the remainder, which is 2/5 of his salary. Assuming equal salaries, Jerry's savings are greater.
Explanation:
The question is asking us to compare how much Tom and Jerry save from their salaries. Let's assume each of them earns the same amount of salary, say for example $1000 (this figure is just for simplicity and can represent any currency or amount).
Tom saves 35% of his $1000 salary, which is 0.35 * $1000 = $350.
Jerry spends 3/5 of his salary, which is 3/5 * $1000 = $600. Therefore, he saves 2/5 of his salary because 1 - 3/5 = 2/5. So Jerry saves 2/5 * $1000 = $400.
Comparing the two, Jerry saves more each month since $400 (Jerry's savings) is greater than $350 (Tom's savings).
You randomly choose one paper clip from a jar. In the jar there are 6 green, 3 white, 4 red, 2 blue, and 5 yellow paper clips.
Find the probability of the following:
Choosing a yellow paper clip
Answer:
You have a 25%, or 1/4 chance that you will choose a yellow paper clip.
Step-by-step explanation:
1) First, you want to find the total number of paper clips.
6 + 3 + 4 + 2 + 5 = 20 total paper clips
This is your denominator.
2) From the problem, we can understand that there are 5 yellow paper clips.
This is your numerator.
3) From the numerator and denominator we have from above, your fraction is 5/20.
4) This can be simplified into 1/4, which is 25%.
The probability of choosing a yellow paper clip is [tex]\frac{1}{4}[/tex].
What is probability?'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'
According to the given problem,
Number of yellow paper clips = 5
Total number of paper clips = 20
Probability = [tex]\frac{Number of favorable events}{Total number of events}[/tex]
= [tex]\frac{5}{20}[/tex]
= [tex]\frac{1}{4}[/tex]
Hence, we can conclude, the probability of choosing a yellow paper clip is [tex]\frac{1}{4}[/tex].
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