in a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, mark has scored 90, 86, and 85 on the first three. what range of scores on the fourth test will give mark a c for the semester (an average between 70 and 79, inclusive)? assume that all test scores have a non-negative value.
Answer:
b/w 19 & 55
Step-by-step explanation:
average of four equally weighted 100-point tests,
mark has scored 90, 86, and 85 on the first three.
C average = 70 and 79
90+86+85+x = 4*70 = 280, so x=19
90+86+85+x = 4*79 = 316, so x=55
Please help with the question below
Answer:
A = -5
Step-by-step explanation:
In isosceles triangle AXYZ, XY = YZ. Which statement must be true?
mZX=mZZ
OmZX=mZY
O mzZ=mZY
Answer:
m<X=m<Z
Step-by-step explanation:
In an isosceles triangle, 2 sides are congruent, and the opposite angles of those sides are congruent.
The angle opposite side XY is <Z.
The angle opposite side YZ is <X.
Since sides XY and YZ are congruent, then angles Z and X are congruent.
Answer: m<X=m<Z
There are 594 cal in 6 ounces of a certain ice cream how many calories are there in 2 pounds
Answer:
There are 1,883 calories in 2 pounds
Which of the following are proper units of mass in the Metric System? Check
all that apply.
A. liter
B. gram
C. milligram
D. pound
Answer:
Here are the correct answers:
B. gram
C. milligram
Need Help! 50 Points
Answer:
Step-by-step explanation:
you have to solve for x i think
Answer: SOLVE FOR X !
Step-by-step explanation:
in which of the following are necessary when proving that the diagonals of a rectangle are congruent
When proving that the diagonals of a rectangle are congruent, certain elements are necessary.
To prove that the diagonals of a rectangle are congruent, we need to establish the properties and characteristics of a rectangle. The necessary elements for the proof include the definition of a rectangle, which states that it is a quadrilateral with four right angles.
Additionally, we need to consider the properties of diagonals in a rectangle, such as the fact that diagonals bisect each other and form congruent triangles. These properties are crucial in proving that the diagonals of a rectangle are congruent.
Furthermore, we may need to employ other geometric principles and theorems to support the proof. These may include the properties of parallel lines, perpendicular lines, and the congruence of corresponding angles and sides in triangles. By utilizing these principles and theorems, we can establish the necessary conditions to prove that the diagonals of a rectangle are congruent.
In conclusion, when proving that the diagonals of a rectangle are congruent, it is essential to consider the definition and properties of rectangles, as well as employ relevant geometric principles and theorems to support the proof.
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I NEED HELP ASAP ! THIS IS FOR A PAST DUE QUIZ. THEY ARE GIVING ME ONE MORE CHANCE
Answer:
3b/2 + 3
Step-by-step explanation:
The formula to calculate perimeter of rectangle is 2l + 2w
The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2
Using the formula to calculate perimeter you can substitute and calculate
p= 2l + 2w
p= 2(b/4 + 1/2) + 2(b/2 + 1)
p= 2b/4 +2/2 + 2b/2 +2
p= 1/2b + 1 + b + 2
p= 3/2b + 3
Simplified it's 3b/2 +3
4. A pizza shop has 12" pizzas with 6 slices and 16" pizzas with slices. Which pizza has bigger slices?
Factories fully. X to the power of three - x
The expression x³ - x when factored out is x(x -1)(x + 1)
How to determine the factored expression?From the question, we have the following expression that can be used in our computation:
X to the power of three - x
Express the expression properly
So, we have the following representation
x³ - x
The terms of the above expression are:
x³ and x
And the factor of x³ and x
Factor = x
So, we divide x³ and x by x
The results of these divisions are
x³/x = x²
x/x = 1
So, we have the following results
(x³ - x) = x(x² -1)
Express x² -1 as a difference of two squares
So, we have
(x³ - x) = x(x -1)(x + 1)
Hence, the factored expression is x(x -1)(x + 1)
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Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.
Given:
The ratio of the amount of money Kate has to that of Nora is 3 : 5.
After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.
To find:
The sum of money Kate had initially.
Solution:
Let the initial amount of money Kate and Nora have are 3x and 5x respectively.
After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.
The amount of Kate = 3x+150
The amount of Nora = 5x-150
Now,
\(\dfrac{3x+150}{5x-150}=\dfrac{7}{9}\)
\(9(3x+150)=7(5x-150)\)
\(27x+1350=35x-1050\)
\(1350+1050=35x-27x\)
\(2400=8x\)
Divide both sides by 8.
\(300=x\)
Putting x=300 in 3x, to get the amount of money Kate has initially.
\(3(300)=900\)
Therefore, the Kate initially had $900.
will give brainliest!!!
Answer:
2 is the answer
i used pemdas/ order of operations
Step-by-step explanation:
help me solve this please! 20 points!
(exponential growth and decay)
What describes the composition of the transformations
Answer:
Step-by-step explanation:
A composition of transformations is a combination of two or more transformations, each performed on the previous image. A composition of reflections over parallel lines has the same effect as a translation (twice the distance between the parallel lines)
SHOW THATMOD -2a a+b c+a =4 [a+b] [b+c] [c+a]
a+b -2b b+c
c+a c+b -2c
MOD(-2a a+b c+a) = 4[a+b][b+c][c+a] is an identity that holds true for all values of a, b, and c.
To show that MOD(-2a a+b c+a) = 4[a+b][b+c][c+a], we will simplify the expression
First, let's expand the expression on the left side of the equation:
MOD(-2a a+b c+a) = MOD(-\(2a^2\) - 2ab + ac + aa + bc + ca)
Now, let's simplify the expression further by grouping the terms:
MOD(-\(2a^2\) - 2ab + ac + aa + bc + ca) = MOD(\(a^2\) + 2ab + ac + bc + ca)
Next, let's factor out the common terms from each group:
MOD(\(a^2\) + 2ab + ac + bc + ca) = MOD(a(a + 2b + c) + c(a + b))
Now, let's expand the expression on the right side of the equation:
4[a+b][b+c][c+a] = 4(a + b)(b + c)(c + a)
Expanding further:
4(a + b)(b + c)(c + a) = 4(ab + ac + \(b^2\) + bc + ac + \(c^2\) + ab + bc + \(a^2\))
Simplifying:
4(ab + ac + \(b^2\) + bc + ac +\(c^2\) + ab + bc + \(a^2\)) = 4(\(a^2\) + 2ab + ac + bc + ca)
We can see that the expanded expression on the right side is equal to the expression we obtained earlier for the left side.
Therefore, MOD(-2a a+b c+a) = 4[a+b][b+c][c+a].
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Drew runs an 8 mile race. How many km has he run? Use the conversion factor 1 km=.62 miles.
Answer:
12.8 is how many kilometers drew runs
Answer:
0.62*8=4.96
happt to help
What’s the correct answer
Answer:I think 4th option
if p > 5 is prime and p is divided by 10, show that the remainder is 1, 3, 7, or 9
If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9
The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.
However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).
Therefore, p must end in 5. This means that p can be written in the form:
p = 10n + 5
where n is some integer. Now, let's consider what happens when we divide p by 10:
p/10 = (10n + 5)/10 = n + 0.5
Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.
To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).
Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.
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how many rising 4-digit numbers can you make from decimal digits? a rising number is a positive integer where each digit is larger than the one to its left.
There are 8,100 rising 4-digit numbers that can be made from decimal digits.
To determine the number of rising 4-digit numbers that can be made from decimal digits, we can analyze the possibilities for each digit:
1. Thousands digit: Since it cannot be zero and must be larger than the hundreds digit, there are 9 choices (from 1 to 9).
2. Hundreds digit: It must be larger than the tens digit, so there are 9 choices (from 0 to 9 excluding the value chosen for the thousands digit).
3. Tens digit: It must be larger than the units digit, so there are 10 choices (from 0 to 9).
4. Units digit: It can be any digit from 0 to 9.
To find the total number of rising 4-digit numbers, we multiply the choices for each digit together:
Number of rising 4-digit numbers = 9 * 9 * 10 * 10 = 8,100
Therefore, there are 8,100 rising 4-digit numbers that can be made from decimal digits.
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A circle has a diameter of 10 millimeters. What is the area of the circle?
Answer:
78.54 millimeters
Step-by-step explanation:
A=πr^2
A= 3.14 times 5 millimeter squared
A=78.54
Please find the value of x. x + 7 = -9
Answer:
-16
Step-by-step explanation:
x + 7 = -9
- 7 - 7 Subtract 7 on both sides
x = - 16
Answer:
x = -16
Step-by-step explanation:
x + 7 = -9
- 7 -7
-16
32 ounces of maple syrup for $3.99 OR 48 ounces of syrup for $4.99
Answer:48-32=16 so you get 16 more oz. of maple syrup for $1 more so the answer is 48 ounces for $4.99.
Step-by-step explanation:
The table represents a function. X y 0 6 2 8 4 10 6 12 complete the statement by selecting from the drop-down menu. The rate of change in the function y = x + 4 is choose. The rate of change of the function represented in the table.
The table represents a function. X y 0 6 2 8 4 10 6 12 complete the statement by selecting from the drop-down menu. The rate of change in the function y = x + 4 is equal to the rate of change of the function represented in the table.
Consider the function shown in the table.
The table's coordinates are as follows:
(0,6) (2,8) (4,10) and (6,12) (6,12)
Take into account the first two coordinates (0, 6) and (2,8)
x₁=0, y₁=6, x₂=2, y₂=8
Linear equation is provided by (y-y₁) =m(x-x₁)
Where 'm' is the slope (rate of change), the following formula is used:
m = y₂ - y₁
x₂ - x₁
So,
m = 8 - 6 = 1
2 - 0
So, the line's equation is:
(y-6)= 1 (x-0) (x-0)
y-6=x
y=x+6
Putting it up against the common equation of the line y=mx+c with slope "m."
Thus, m(Rate of Change)=1 is obtained.
Now,
We will calculate the slope for the function y=x+4
Putting it up against the common equation of the line y=mx+c with slope "m."
Thus, m(Rate of Change)=1 is obtained.
The rate of change in the function y=x+4 is therefore equal to the rate of change of the function shown in the table.
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What is the shortcut for multiplying mixed numbers?
To multiply mixed numbers, convert to improper fractions, cancel factors, multiply the remaining factors, and simplify if possible.
Increasing blended numbers can be tedious, yet there is an easy route that can work on the interaction. To duplicate blended numbers, convert them to ill-advised portions, then drop any elements that show up in both the numerator and denominator of the divisions. At long last, duplicate the leftover elements in the numerator and denominator and work on the subsequent division if conceivable. For instance, to duplicate 2 1/2 by 3 2/3, first proselyte them to inappropriate divisions, which are 5/2 and 11/3. Then, drop the variable of 2 in the numerator of the principal portion and the denominator of the subsequent division. The outcome is 55/3, which can be improved to 18 1/3. This alternate way can save time and assist understudies with taking care of augmentation issues all the more proficiently.
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l. (5 pts) if the null space of a 8×7 matrix a is 4-dimensional, what is the dimension of the column space of a?
The dimension of the column space of the 8×7 matrix `a` is equal to `3`.
The dimension of the null space of an `m × n` matrix `A` is equal to the number of linearly independent columns of `A`.
Given that the null space of the `8 × 7` matrix `a` is `4`-dimensional.
Hence, the rank of the `8 × 7` matrix `a` is `3`.
By the rank-nullity theorem:
Dim(null(a)) + dim(column(a)) = n,
where n is the number of columns of a.
Substituting the values we get,
4 + dim(column(a)) = 7dim(column(a))
= 7 - 4dim(column(a))
= 3
Hence, the dimension of the column space of the 8×7 matrix `a` is equal to `3`.
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FREE 85 IF U CAN AWNSER PLZZZZZZZZZZZZZZZZ ILY
Answer:
I dont get it tell me how you want me to answer it and i will edit the answer to try and help you out. But you shouldnt use that many points a lot of people would help you out for 5 because if you do that many people are going to use hem to there advantage so tell me what i can do to help you and i will see what i can do.
Step-by-step explanation:
What is the sum of 17.25 and 1.725 , to the nearest integer?
The sum of 17.25 and 1.725, to the nearest integer, is 19.
First, let's add the two numbers together: 17.25 + 1.725 = 19.975
Next, we need to round the sum to the nearest integer. To do this, we need to look at the tenths place of the number. Since the tenths place is a nine, we need to round up to the nearest integer.
In this case, the nearest integer is 19.
To check our answer, we can add the two numbers together again using a calculator and confirm that the answer is 19.
To make sure we understand how to round to the nearest integer, let's look at another example. If we add 3.45 + 2.735, the sum is 6.185.
Looking at the hundredths place, we see that it is a five. Since five is greater than or equal to five, we need to round up to the nearest integer.
In this case, the nearest integer is 7.
To check our answer, we can add the two numbers together again using a calculator and confirm that the answer is 7.
In summary, to round a number to the nearest integer, we need to look at the tenths place. If the tenths place is greater than or equal to five, we round up to the nearest integer. If it is less than five, we round down to the nearest integer.
Therefore, the sum of 17.25 and 1.725, to the nearest integer, is 19.
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The sum of 17.25 and 1.725 is 18.975. To the nearest integer, this number is rounded up to 19.
Rounding to the nearest integer involves finding the closest whole number to a decimal or fractional number. When the decimal portion of a number is greater than or equal to 0.5, the number is rounded up to the next whole number. When the decimal portion of a number is less than 0.5, the number is rounded down to the previous whole number. In this case, the decimal portion of 18.975 is greater than 0.5, so the number is rounded up to 19.
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1.What is the distance between point b and the directrix ?
2.What does this tell you about the distance between p and f ?
Answer: we could be th superheros so we are superheros
Step-by-step explanation:
Answer:
Step-by-step explanation:
SInce the distance between the vertex and the focus is the same as the distance from the vertex to the directrix, the distance from the directrix to the focus is 22‾√.
Since the shortest path from the focus to the directrix goes through the vertex, the distance from the focus to the directrix is the sum of the distance from the focus to the vertex and the distance of the vertex to the directrix, namely 22‾√+22‾√=42‾√
What is 1 * 10 ^ - 3 written in standard form?
Answer:
In standard form, 1 * 10^-3 would be 1/1000.
Step-by-step explanation:
WILL GIVE BRAINLIEST !!!
A hiker in Africa discovers a skull that contains 63% of its original amount of C-14. Find the age of the skull to the nearest year.
Answer:
3800 +/-10
Step-by-step explanation: