The next thing Kevin should do is to write the result in standard form
Scientific notationsThe standard form of scientific notation is expressed as [tex]A \times 10^n[/tex] where:
A is between 1 and 10n is an integerGiven the product of 3.2 × 10^4 and 3.6 × 10^2 as 11.52 × 10^6, the next thing Kevin should do is to write the result in standard form as shown:
[tex]11.52 \times 10^6 = 1.152 \times 10 \times 10^6\\ 11.52 \times 10^6 = 1.152 \times 10^7[/tex]
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The circumference of a circle is divided into twelve equal arcs. The measure of each arc is degrees.
The measure of each of the arc in degrees is:
30 degree
Step-by-step explanation:We know that the circle is a whole of 360 degrees.
Now when we divide the circumference of a circle into 12 equal arcs, then the measure of each arc in degrees is calculated as the ratio of the 360 degrees to the number of arcs it has been divided.
Hence, the measure of each arc in degrees is:
[tex]\dfrac{360}{12}=30[/tex]
Hence, the measure in degrees is:
30 degree
Which Number produces a rational number when added to 0.25
Any number that is rational when added to 0.25 will result in a rational number, as 0.25 is a rational number itself. Examples include adding integers or other fractions to 0.25.
Explanation:Any number added to 0.25 will produce a rational number since 0.25 itself is a rational number. Rational numbers include integers, fractions, and finite or repeating decimals. When adding a number to 0.25, if the second number is rational, the result will surely be rational. For instance, adding an integer like 2 to 0.25 gives 2.25, which is rational. Similarly, adding a fraction like 1/2, which is 0.5 in decimal form, results in 0.75, also a rational number.
When considering common denominators in fractions for addition or subtraction, the denominator of the resulting number is a product of the denominators of the numbers being added. This is because, to add fractions effectively (or subtract them), we convert each number to an equivalent fraction with the same denominator. Then we add (or subtract) the numerators while the denominator remains constant.
In summary, any number that can be expressed as a fraction with a finite number of digits or a repeating pattern after the decimal point, being a rational number when added to 0.25, will result in another rational number.
To find a number that, when added to 0.25, produces a rational number, we can subtract the decimal part of 0.25 from 0.25 itself. The number that satisfies this condition is -1/4.
Explanation:To find a number that produces a rational number when added to 0.25, we need to understand that a rational number is one that can be expressed as a fraction. So we are looking for a number that, when added to 0.25, results in a fraction.
Let's call the number we're looking for 'x'. To make the addition result in a fraction, 'x' needs to be the negative of the decimal part of 0.25. Since 0.25 is equal to the fraction 1/4, the negative of the decimal part is -(1/4) = -1/4.
Therefore, the number that produces a rational number when added to 0.25 is -1/4.
Find the product
54.88 x 7.3
550 is 5% of what number?
27.5 if you divide 550by 5% you get 27.5
preschool buys paint in bulk then divides the paint into smaller pirtions for use in the clasrooms. today they bought 4 2/3 gallons of green paint and divided it equally among 4 classrooms. how much green paint did each classroom get?
If there is a sphere with a volume of 1761.1 meters cubed, what is the radius?
Garys unpaid credit card balance is $2543.32. His APR is 17.4% qnd he made ine new transaction for $320 whats his new balance
Given the functions, and g(x) = 3x 2 + 2, perform the indicated operation. f(g(x))
I believe the answer is 6x-13. But I'm not 100% posititive.
Find the first four terms of this geometric sequence a1 = 5 And r = 6
If a pizza is cut into 8 pieces and 3 children each eat one piece, what fraction of the pizza is gone
what is 68% out of 25
Marla says that every number in nineties is composite. Jackie says that one number in the nineties is prime. Who is correct?
Answer:
Jackie, 91, 97 is prime.
Step-by-step explanation:
Remember that a number greater than 2 is NOT prime if it is divided by any number different than 1, for example 6 is NOT prime because 3 divides 6. 7 is prime because the only divisors of 7 are 1 and 7.
So for the nineties 90 is divisible by 45.
91 is divisible by 7
92 is divisible by 2
93 is divisible by 3
94 is divisible by 2
95 is divisible by 5
96 is divisible by 2
97 IS PRIME, is just divisible by 1 and 97
98 is divisible by 2
99 is divisible by 3
What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?
Answer:
the coefficient is -3
Step-by-step explanation:
A political analyst predicts Mr. Smith will only get 122 votes for mayor. If Mr. Smith only gets 57 votes, what is the political analyst's percent error? Round your answer to the nearest tenth of a percent.
The political analyst's percent error is approximately 53.3%.
Explanation:To find the political analyst's percent error, we need to calculate the absolute difference between the predicted votes and the actual votes, divide it by the predicted votes, and then multiply by 100. The formula for percent error is:
Percent Error = (|Predicted Value - Actual Value| / Predicted Value) * 100
Plugging in the values, we have:
Percent Error = (|122 - 57| / 122) * 100
Calculating the difference: |122 - 57| = 65
Calculating percent error: (65 / 122) * 100 ≈ 53.3%
Therefore, the political analyst's percent error is approximately 53.3%.
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Which values of P and Q result in an equation with exactly one solution? Qx-6=Px-103
Answer:
For any value of P & Q except when both are equal , we get One solution of equation.
Step-by-step explanation:
Given: Linear Equation, Qx - 6 = Px - 103
This equation has exactly 1 solution.
To find: Value of P and Q
First we solve the linear equation for value of x,
Qx - 6 = Px - 103
Transpose Px to LHS ( Left hand side ) we get,
Qx - Px - 6 = -103
Transpose 6 to RHS ( Right hand side ) we get,
Qx - Px = -103 + 6
Qx - Px = -97
taking x common in LHS, we get
( Q - P ) x = -97
Traspose ( Q - P ) to RHS, we get
[tex]x=\frac{-97}{Q-P}[/tex]
[tex]x=\frac{-97}{-(P-Q)}[/tex]
[tex]x=\frac{97}{P-Q}[/tex]
Thus, we are get only 1 value of x but it exist if P ≠ Q
otherwise no solution exist for the given linear Equation.
Therefore, For any value of P & Q except when both are equal , we get One solution of equation.
Find the locus of the point (x,y) which is a distance 3 from the point (-2, 1)
Kareem shot the basketball 32 times and made 23 baskets. What percent of his shots were baskets?
Answer:139%
Step-by-step explanation:
How many halves are in the following
12, 10, 13, 15,8 and 5
Janice really likes potatoes. potatoes cost $0.50 per pound, and she has $5.00 that she could possibly spend on potatoes or other items. suppose she feels that the first pound of potatoes is worth $1.50, the second pound is worth $1.14, the third pound is worth $1.05, and all subsequent pounds are worth $0.30. instructions: enter your answers as whole numbers.
a. how many pounds of potatoes will she purchase?
b. what if she only had $3.00 to spend?
Janice will purchase 4 pounds of potatoes if she has $5.00. If she only has $3.00 to spend, she will purchase 3 pounds of potatoes.
Explanation:To determine how many pounds of potatoes Janice will purchase, we need to subtract the cost of each pound of potatoes from her total budget until she no longer has enough money to purchase another pound. Let's go step by step:
Janice has $5.00 and the first pound of potatoes costs $1.50. After purchasing the first pound, she will have $5.00 - $1.50 = $3.50 left.
The second pound of potatoes costs $1.14, so she can buy the second pound and have $3.50 - $1.14 = $2.36 left.The third pound costs $1.05, so she can buy it and have $2.36 - $1.05 = $1.31 left.The fourth pound and any subsequent pounds cost $0.30 each. Since Janice has $1.31 left, she can afford $1.31 / $0.30 ≈ 4.37 pounds of potatoes.Therefore, Janice will purchase 4 pounds of potatoes.
If Janice only has $3.00 to spend, we can follow the same steps:
With $3.00, she can afford $3.00 / $0.30 = 10 pounds of potatoes. However, since the value of each pound decreases after the third pound, she can only purchase the first three pounds. The fourth pound would cost $0.30, but she doesn't have enough money left.Therefore, if Janice has $3.00 to spend, she will purchase 3 pounds of potatoes.
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a used truck for $4,500 he made an agreement with the dealer to put $1,500 and make payments of 350 for the next 10 months that extra costs paid by taking this bill bill is equivalent to what actual yearly rate of interest
Brook says there are 49 days until july 4 there are 7 days in a week in how many weeks will it be until july 4
7 weeks until July 4.
Calculating the Number of Weeks Until July 4
To determine in how many weeks it will be until July 4, given that there are 49 days left:
We know there are 7 days in a week.
We need to divide the total number of days by the number of days in a week.
The calculation is: 49 days ÷ 7 days/week.
Doing the division: 49 ÷ 7 = 7 weeks.
A company invests a total of $40 comma 000 of surplus funds at two annual rates of interest: 5% and 6one half %. It wishes an annual yield of no less than 6one fourth %. What is the least amount of money that the company must invest at the 6one half % rate? The company should invest at least $ nothing at 6one half %.
In a right triangle, cosA=0.352 and sinA=0.936 What is the approximate value of tanA?
A- 0.329
B- 0.376
C-1.288
D-2.659
Answer:
tanA=2.6591
Step-by-step explanation:
[tex]tanA=\dfrac{sinA}{cosA} \\\\tanA=\dfrac{0.936}{0.352} \\\\tanA=2.6591[/tex]
What is the shape of the following distribution?
{9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 20}
negative skew
postive skew
symmetric
asymmetric with no skew
none of the above
The distribution is positively skewed, as indicated by the longer tail on the right side of the dataset representing higher values.
The shape of the distribution for the dataset {9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 20} can be determined by looking at the tail of the distribution. Since the values gradually increase and then have a longer tail towards the higher numbers (with the largest values occurring less frequently), we can identify this as a positively skewed distribution. The distribution does not display symmetry, and the tail extends more significantly to the right, which is indicative of a positive skew. This is because the bulk of the data is located on the left side (lower values), while the right side (higher values) stretches out longer due to the presence of outliers or a gradual decrease in frequency.
Which equations represent hyperbolas?
Answer:
The correct options are 2 and 5.
Step-by-step explanation:
The general form of conics is
[tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex]
This equation represents the hyperbola if
[tex]B^2-4AC>0[/tex]
compare the given equations with the general equation.
In option 1,
[tex]A=2,B=0,C=2,D=16,E=14,F=-9[/tex]
[tex]B^2-4AC=(0)^2-4(2)(2)=-16<0[/tex]
This equation does not represents a hyperbola.
In option 2,
[tex]A=2,B=0,C=-5,D=4,E=-10,F=57[/tex]
[tex]B^2-4AC=(0)^2-4(2)(-5)=40>0[/tex]
This equation represents a hyperbola.
In option 3,
[tex]A=-1,B=0,C=-7,D=5,E=2,F=-81[/tex]
[tex]B^2-4AC=(0)^2-4(-1)(-7)=-28<0[/tex]
This equation does not represents a hyperbola.
In option 4,
[tex]A=0,B=0,C=-2,D=1,E=4,F=15[/tex]
[tex]B^2-4AC=(0)^2-4(0)(-2)=0[/tex]
This equation does not represents a hyperbola.
In option 5,
[tex]A=-1,B=0,C=3,D=12,E=7,F=11[/tex]
[tex]B^2-4AC=(0)^2-4(-1)(3)=12>0[/tex]
This equation represents a hyperbola.
Therefore the correct options are 2 and 5.
Several shapes are cut out of a piece of cardboard. Two squares of length x, five rectangles of length x and width y and two circles with radius z. The two squares and four of the rectangles are glued together to form a prism, and the two circles and the remaining rectangle are used to form a cylinder with height y. Which represents the combined volume of the two figures?
which ingredient does Ramon use the greater amount of, buttermilk or cream cheese? Explain how you found your answer.
( 5/8 cup buttermilk , 1/2cup cream cheese)
Four bottles of powerade cost $3.88. Find the unit price of each bottle
Find the area of A circle whose diameter is 8.3m round to the nearest tenth
Answer:
the answer is 54.1
In adding 4/5 + 18/100 the least common denominator is:
The least common denominator of the given denominators 5 and 100 is 100.
Given that, 4/5 + 18/100.
What is least common denominator?When two or more fractions have the same denominators, they are termed as the common denominators. The least common denominator (LCD) refers to the smallest number that is a common denominator for a given set of fractions.
Here, two different denominators are 5 and 100.
The least common denominator of 5 and 100 is 100.
So, 80/100 + 18/100
= 98/100
= 49/50
Therefore, the least common denominator of the given denominators 5 and 100 is 100.
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