The final expression is 4a - 7b.
To calculate (-3a - 5b) + (7a - 2b), we need to combine like terms.
First, let's combine the terms with the variable 'a':
-3a + 7a = 4a
Next, let's combine the terms with the variable 'b':
-5b - 2b = -7b
Now, we have 4a - 7b.
This expression represents the sum of (-3a - 5b) and (7a - 2b) simplified by combining like terms. It is important to note that no further simplification can be done unless there is additional information or specific values assigned to the variables 'a' and 'b'. The result is a simplified expression that involves both variables 'a' and 'b'.
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The value of A is? The value of B is?
Answer:
C+B
Step-by-step explanation:
you add A + B = C
Answer:
A=10
B=35
Step-by-step explanation:
I’m stuck I need you to do it
Answer: The length of the prism is 8 yards
Step-by-step explanation:
First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)
ASAP please give me the answerss!! Due! HELP PLEASE.
Part A
Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
Part B
Order the rational numbers from least to greatest and explain your reasoning.
Part C
At the beginning of the month Katie’s balance was $128. What was her balance at the end of the month after all of her deposits and withdrawals? You must show your work, no credit will be given for just an answer.
Answer:
(a) The deposits to be 21.68, 42.09, and 65.44 and the withdrawals to be -4.64, -23.11 and -9.78
(b) \(Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44\)
(c) \(Final\ Balance = \$219.68\)
Step-by-step explanation:
Given
Deposits: $21.68, $42.09, and $65.44
Withdrawals: $4.64, $23.11 and $9.78
Solving (a): Write out the deposits as positive and the withdrawals as negatives
From (given) above, we have
The deposits to be 21.68, 42.09, and 65.44
and
The withdrawals to be -4.64, -23.11 and -9.78
Solving (b): Order from least to greatest.
Since the withdrawals are negative, the arrangement will start from there because negative numbers are lesser than positives.
Arranging the withdrawals from least to greatest, we have:
-23.11, -9.78, -4.64.
Arranging the deposits from least to greatest, we have:
21.68, 42.09, 65.44
Combine both together;
\(Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44\)
Solving (c):
\(Initial\ Balance = \$128\)
Required
Determine the final balance
First we need to get the total deposits:
\(Total\ Deposits = \$21.68 + \$42.09 + \$65.44\)
\(Total\ Deposits = \$129.21\)
Next, we determine the total withdrawals:
\(Total\ Withdrawals = \$4.64 + \$23.11 + \$9.78\)
\(Total\ Withdrawals = \$37.53\)
The final balance is then calculated as:
\(Final\ Balance = Initial\ Balance + Total\ Deposits - Total\ Withdrawals\)
\(Final\ Balance = \$128 + \$129.21 - \$37.53\)
\(Final\ Balance = \$219.68\)
749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
the rule of 70 indicates that an increase in the growth rate of a variable will ______ the time needed to double the value of the variable itself.
The rule of 70 indicates that an increase in the growth rate of a variable will be doubled the time needed to double the value of the variable itself.
In math, variable is known as an alphabet or term that represents an unknown number or unknown value or unknown quantity
Here we have to find the missing term in the statement "the rule of 70 indicates that an increase in the growth rate of a variable will ______ the time needed to double the value of the variable itself."
Here we know that the rule of 70 is a way to estimate the time it takes to double a number based on its growth rate.
Based on these the formula is as follows:
First, we have to take the number 70 and divide it by the growth rate.
And then the result is the number of years required to double.
For example, if your population is growing at 3%, divide 70 by 3.
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Four identical cubes are joined to make a new shape.
What is the new shape’s surface area?
The surface area of the shape which was formed when four identical cubes were joined, is 882 yd ².
How to find the surface area ?The surface area of a cube can be found by the formula :
= Number of faces x Length of a side ²
When four identical cubes were joined, this leads to the creation of 18 faces which means that the surface area of the cube would then be :
= 18 x 7 x 7
= 18 x 49
= 882 yd ²
In conclusion, the area is 882 yd ².
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Solve for X.
A. 10.96
B. 4.88
C. 0.04
D. 5.34
Answer:
4.88
Step-by-step explanation:
That may be the question
given a circle with center (-5,3) and radius sqrt 17 what is the slope of the tangent line to the circle that passes through the point (-1,2)
The slope of the tangent line that passes through the point (-1, 2) is 4, and the equation of the line is: y - 2 = 4(x + 1) or y = 4x + 6
To find the slope of the tangent line to a circle, we first need to find the equation of the circle.
Given the center and radius, the equation of a circle can be written as:
(x + 5)^2 + (y - 3)^2 = 17
Next, we find the equation of the line that passes through the point (-1, 2) and is tangent to the circle.
We can use the slope-point form of the equation of a line:
y - 2 = m(x + 1)
where m is the slope of the line.
To find the value of m, we need to find the slope of the line that is tangent to the circle at the point (-1, 2).
The slope of a tangent line to a circle at a point is equal to the derivative of the equation of the circle at that point.
Taking the partial derivatives of x and y in the equation of the circle, we get:
2(x + 5)dx + 2(y - 3)dy = 0
Rearranging and solving for the slope:
dy/dx = -(x + 5)/(y - 3)
Evaluating the slope at the point (-1, 2), we get:
dy/dx = -(−1 + 5)/(2 − 3) = 4
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On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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In the context of this problem, which solutions to the polynomial equation can you eliminate because they do not make sense? x = –8 x = –4 x = 6
In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.
What is the solution to the equation?The given polynomial equation can be expressed as ;
x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6
We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation
x = -8
[(-8)³ + 6(-8)² - 40(-8)]
= 192
[-512 + 384 + 320]
= 192
x = -4,
[(-4)³ + 6(-4)² - 40(-4)]
[-64 + 96 + 160 ]
= 192
x = 6
[(6)³ + 6(6)² - 40(6) ]
216 + 216 - 240
= 192
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Answer:
Step-by-step explanation:
A,B
x = –8
x = –4
how many times greater is 6x10⁹ than 3x10²
1.3 Do Activity 1.4.1 from your Study Guide. Give a concise account (do not copy and paste) of the main points of the principle of "Caring about the development of students' mathematical proficiency". (6)
The principle of "Caring about the development of students' mathematical proficiency" is a vital component of the teaching process.
As a teacher, you must be concerned about your student's growth in mathematics to support their success in the subject. The main points of this principle are as follows:
1. Supporting Students: The teacher must strive to provide effective support for each student's learning, based on their needs.
2. Encouraging Students: The teacher should encourage students to improve their proficiency in mathematics and support their learning by providing suitable opportunities for them.
3. Problem-Solving Skills: Teachers must help students develop problem-solving skills to tackle challenging mathematical problems.
4. Feedback and Assessment: The teacher must provide timely feedback and assessment to support the student's growth in mathematics. This feedback should be constructive and should aid in the student's development of mathematical proficiency.
5. Encouraging Student Reflection: The teacher should encourage students to reflect on their learning experiences to recognize areas where they need more support. The development of a student's mathematical proficiency should be the focus of a teacher's teaching, learning, and assessment practices.
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find surface area please
Answer:
The area is 54.6
Step-by-step explanation:
Hopefully this helps!
If the probability that a vaccine you took will protect you from getting the flu is 0.977, what is the probability that you will get the flu?
Probability that you will get the flu =
Answer:
Step-by-step explanation:
0.033
If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
Answer:
\((f-g)(2)=14\)
Step-by-step explanation:
We are given the two functions:
\(f(x)=3x^2+1\text{ and } g(x)=1-x\)
And we want to find the value of:
\((f-g)(2)\)
This is equivalent to:
\((f-g)(2)=f(2)-g(2)\)
Substitute:
\(=(3(2)^2+1)-(1-(2))\)
Evaluate:
\(=(3(4)+1)-(1-2)=(12+1)-(-1)=13+1=14\)
Therefore:
\((f-g)(2)=14\)
Mary’s trapezoid-shaped garden has a perimeter of 24 yd. She knows the length of three of the sides, 3 yd, 6 yd, and 9 yd.
What is the length of the fourth side?
Choose...
Answer:
6
Step-by-step explanation:
to find the perimeter of a trapezoid you add all the sides together
therefore we do it backwards
24-3-6-9=6
Solution :-
We know that perimeter is the sum of all sides, and here we have been provided with perimeter and the length of three sides. Now, we can assume the length of other side as any variable, say x. And develop a linear equation, and solve it. Thus,
A/Q,
→ 3yd + 6yd + 9yd + x = 24yd
→ 18yd + x = 24yd
→ x = 24yd - 18yd
→ x = 6yd
Thus, the length of the fourth side is 6yd.
Hope that helps :)
Is 55.33 equal to 55.033
9. Find BD if AABC~AXYZ
A
BD and
and
B
12
A
D
C X
YW
are medians.
We have found that: AB = (BD/2) * (XZ/AY) and we can solve for BD:
BD = 2 * AB * AY / XZ
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
Since BD is a median of triangle ABC, it divides side AC into two equal parts. Let's label the midpoint of AC as M. Similarly, YW is a median of triangle XYZ and it divides side XZ into two equal parts, with the midpoint labeled as N.
Since AABC~AXYZ, we know that the corresponding sides are proportional. Thus,
AB/AX = AC/AY = BC/BZ
Since AB = BC (given that B is a vertex of both triangles), we have:
AB/AX = AC/AY
We can rewrite this equation as:
AB/AC = AX/AY ----(1)
Since BD is a median of triangle ABC, we have:
BD = 1/2 AC ----(2)
Similarly, since YW is a median of triangle XYZ, we have:
YW = 1/2 XZ ----(3)
From equation (1), we have:
AB/AC = AX/AY
Multiplying both sides by AC, we get:
AB = AX * (AC/AY)
Now, using equation (2), we can substitute AC/2 for BD:
AB = AX * BD/AY
Finally, using equation (3), we can substitute XZ/2 for YW:
AB = (BD/2) * (XZ/AY)
Therefore, we have found that:
AB = (BD/2) * (XZ/AY)
Hence, we can solve for BD:
BD = 2 * AB * AY / XZ
Note that we need to know the actual values of AB, AY, and XZ to find BD.
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Parallelogram ABCD had coordinates A(0,7) and C(2, 1) Which statement will prove ABCD is a Rectangle?
The midpoint of AC is (1, 4).
The length of BD is √40.
The slope of BD is 1/3
The slope of AB is 1/3.
Answer:
Option (2)
Step-by-step explanation:
ABCD is a parallelogram having vertices A(0,7) and C(2, 1).
Therefore, length of diagonal AC = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
= \(\sqrt{(0-2)^2+(7-1)^2}\)
= \(\sqrt{40}\)
Since, diagonals of a rectangle measure the same and bisect each other,
Length of other diagonal BD will also measure \(\sqrt{40}\).
Therefore, Option (2) will be the correct option.
Find the lengths of UV and ST and determine whether they are congruent.
Hint: Congruent line segments have the same length.
Answer:
-2, S, U, V. that was a good question.
Step-by-step explanation:
Thanks. You are known.
I NEED HELP PLEASE, THANKS! :)
Consider the standard form of each of the following options given, and note the hyperbola properties through that derivation -
\(Standard Form - \frac{\left(x-5\right)^2}{\left(\sqrt{7}\right)^2}-\frac{\left(y-\left(-5\right)\right)^2}{3^2}=1,\\Properties - \left(h,\:k\right)=\left(5,\:-5\right),\:a=\sqrt{7},\:b=3\\\)
Similarly we can note the properties of each of the other hyperbolas. They are all similar to one another, but only option C is correct. Almost all options are present with a conjugate axis of length 6, but only option c is broad enough to include the point ( 1, - 5 ) and ( 9, - 5 ) in a given radius.
Solution = Option C!
Use the multiplication rule for independent event probabilities. Two friends are both pregnant, and find out they are each expecting twins! Let A be the event that one friend is pregnant with identical twins, and note that P(A) = 0.0045. Let B be the event that the other friend is pregnant with fraternal twins, and note that P(B)= 0.01. A and B are independent events. What is the probability that one friend is pregnant with identical twins, and one friend is pregnant with fraternal twins? Give your answer as a percent, rounded to four decimal places if necessary.
Answer:
We have to multiply P(A) and P(B) which is 0.0045 * 0.01 * 100 (to make it a percentage) = 0.0045%.
A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t*2 + 88t +6. How long will it take the rocket to reach its maximum height? What is the maximum height?
Question content area bottom
Part 1
The rocket reaches its maximum height at ? second(s) after launch.
Answer:
Step-by-step explanation:
What is the volume of this triangular pyramid
Answer:
The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).
Step-by-step explanation:
Answer:
192 cubic feet
Step-by-step explanation:
The volume V of a triangular pyramid is given by the formula:
V = (1/3) * base area * height
where base area is the area of the triangular base.
In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:
base area = length * width = 8 ft * 8 ft = 64 sq ft
Substituting the given values into the formula, we get:
V = (1/3) * 64 sq ft * 9 ft
V = 192 cubic feet.
Therefore, the volume of the triangular pyramid is 192 cubic feet.
Eve is twice as old as her son, and the difference in their ages is 23 years. Find their
ages.
Answer:
Eve is 46 and her son is 23
Step-by-step explanation:
let x be the son's age then Eve is 2x. the difference in their ages is 23 , so
2x - x = 23 , that is
x = 23
then
Eve = 2 × 23 = 46 years
son = 23 years
a 2-quart cartoon od chocolate milk costs 1.52 what is the price per cup
Answer:
The price per cup is $0.19
Step-by-step explanation:
In a quart there are 4 cups.
1.52÷4=0.38
But because there are 2 quarts you have to divide it by 2.
Which is 0.19
Thats the answer
Pls give Brainliest
Im desperate...
What is the answer for x?
By the concept of parallels lines the value of x is 4 .
What are parallels lines?Coplanar, straight lines that don't intersect anywhere are considered parallel lines in geometry. Lines in the same three-dimensional space that never cross one another and are said to be parallel. Curves that are parallel to each other and maintain a setting a minimum distance do not touch or intersect. Lines in a plane that consistently have the same separation are said to be parallel. Nothing can cross a parallel line. Lines that cross at a straight angle of 90 degrees are called perpendicular lines. Two lines in the same plane that are equally spaced apart and never cross each other are referred to in geometry as parallel lines. Both vertical and horizontal can be used. Parallel line examples abound in daily life, such as the rows of notebooks and zebra crossings.
9x - 6 = 6x + 6
3x = 12
x = 4
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Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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Last year, The Lakewood Times had a total of 4,770 subscribers. This year, after the paper
was bought out, it had 6,201 subscribers. What is the percent of increase in the number of
subscribers?
%
The Lakewood Times had a 30.4% increase in the number of subscribers after it was bought out.
What is the percentage increase?
Percent increase is a way of measuring how much something has increased relative to its original value. It is expressed as a percentage, and it is calculated by taking the difference between the new value and the original value, and then dividing that difference by the original value, and then multiplying by 100.
Formula: % increase = (new value - original value) / original value x 100
To find the percent increase, you can use the formula:
% increase = (new value - old value) / old value x 100
In this case, the percent increase would be:
% increase = (6201 - 4770) / 4770 x 100 = 30.4%
Hence, The Lakewood Times had a 30.4% increase in the number of subscribers after it was bought out.
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i think the answer is 4/5
Answer:
yeah same it really could be