The sum will be negative.
The product of two negative numbers is always positive and if we add two numbers, the sign of the greater number is used in the result.
Here, we are given an expression 4a + (-3b)
Also we are told that a < b and b is a negative number
Mow, since b is a negative number, (-3b) will always be positive. This is because the product of two negative numbers, here -3 and b, will always be positive.
Now, a can be positive or negative. If a is positive, the sum will always be positive. However, if it is negative, the sum can be either positive or negative.
Here, in fact, since a < b, a will always be negative only
Let us take an example, say a = -3 and b = -2
Then the sum becomes 4(-3) + (-3)(-2)
= -12 + 6
= -6
If we observe closely since a and be are both negative and a < b, in absolute terms a will always be greater than b since for negative numbers higher the value, smaller is the number.
Thus, we can conclude that 4a > (-3b) for all values of a and b
and since 4a will always be negative, the sum will also be negative.
Learn more about negative numbers here-
https://brainly.com/question/13831313
#SPJ9
The formula for the area of a trapezoid is given. Solve this equation for h, height. a=H(B1+B2)/2
The solution of the equation for h is H = 2a/(B1 + B2)
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to solve the equation for h?The equation is given as
a=H(B1 + B2)/2
The above means that the variable h is represented by the variable H
Multiply both sides of the equation by 2
So, we have
2a = H(B1 + B2)
Divide both sides of the equation by (B1 + B2)
H = 2a/(B1 + B2)
Hence, the solution of the equation for h is H = 2a/(B1 + B2)
Read more about equations at
brainly.com/question/10643782
#SPJ1
GEOMETRY [35 POINTS]
What is the value of X?
What is the measure of angle A?
What is the measure of angle B?
Answer:
Step-by-step explanation:
Comment
The key to this is to know what a remote angle is. A remote angle is one that has one leg in common with the exterior angle. Make this a little simpler.
The exterior angle is outside the triangle. In this case it is the 157 degree angle.
The two remote angles each contribute just one side to the exterior angle. <B contributes BC and <A
Theorem
The two remote angles = the exterior angle.
Equation
x + x - 21 = 157
Solution
x + x - 21 = 157 Combine the left side
2x - 21 = 157 Add 21 to both sides
2x - 21 + 21 = 157+21 Combine
2x = 178 Divide by 2
2x/2 = 178/2
x = 89
Answer
x = A = 88
89 - 21 = B =68
the points (-3,1), (-1,1), (0,-1), (-1,-3), (-3,-3) and (-4,-1) are vertices of a polygon. what type of polygon is formed by these points?
Answer:
10
Step-by-step explanation:
Bxhwbdjnqbxkabxjb iqbdnannsmxns
what is the answer for this 3x+4x+5x+...+43x
Answer:
1032x
Step-by-step explanation:
[tex]3x+4x+\cdots+43x=x(3+4+\cdots+45) \\ \\ =43x\left(\frac{45+3}{2} \right) \\ \\ =43(24x) \\ \\ =1032x[/tex]
Which is an equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power end quantity?
really need help pleeease
An equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power is 2d⁻³/11d⁻⁹
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
What is an exponent?An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.
Translating the word problem into an algebraic expression, we have;
4 times d raised to the negative third power = (4 × d)⁻³ = 4d⁻³
22 times d raised to the ninth power = (22 × d)⁻⁹ = 22d⁻⁹
Next, we would write the equation as a quotient:
Expression = 4d⁻³/22d⁻⁹
Expression = 2d⁻³/11d⁻⁹
Read more on expressions here: https://brainly.com/question/28260012
#SPJ1
*HURRY help i’m taking a test*
mario will purchase 2 rare coins each month at a cost of $50 each. how much money will mario have spent on his coin collection after 2 years if he purchases an additional 3 coins at the end of the 2 years?
a. $1200
b. $2550
c. $2400
d. $1750
c. $1250
Answer:
it should be b.
Step-by-step explanation:
2 rare coins will make them $100 each month. There are 12 months in a year.
12 × 2 = 24 months
so $100 × 24 months will give us 2400.
Then Mario purchases 3 coins making it cost $150 ($50 + $50 + $50)
2400 + 150 = 2550
Brainliest plss :,)
Roslan had a total of 50$ in 10-cents coins,20- cent coins and 50-cents coins .the value of his 10- cents coins was 30% of the total value of all his coins.the value of his 20-coins wad 28% of the total value of all his coins. what was the value of his 50-cents coins?
The value of 50-cents coins is $21, the value of 10-cents coins is $15 and the value of the 20-cents coins is $14.
Percentage of the number:
Percentage is defined as the a number or ratio that can be expressed as a fraction of 100.
If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Given,
Roslan had a total of 50$ in 10-cents coins,20- cent coins and 50-cents coins.
The value of his 10- cents coins was 30% of the total value of all his coins.
The value of his 20-cents coins was 28% of the total value of all his coins.
Here we need to find the value of 50-cent coins.
We know that,
Total value = $50
So the value of 10-cent coins
=> 30% × $50 = $15
Then the value of 20-cent coins
=> 28% × $50 = $14
Through the known values of 10-cents and 20-cents we have calculate the value of 50-cents coins as,
=> $50 – $15 – $14 = $21
Therefore, the value of 50-cents coins is $21.
To know more about Percentage here.
https://brainly.com/question/14699403
#SPJ4
Solve the quadratic equation by completing the square.
x²+18x+79=0
Step-by-step explanation:
completing the square means finding an expression
(x + a)² = b²
or
(x - a)² = b²
(x + a)² = x² + 2ax + a²
(x - a)² = x² - 2ax + a²
because of the "+ 18x" in the original equation we know that we are looking for (x + a)².
now, let's compare the different terms :
x² = x²
18x = 2ax
18 = 2a
a = 9
so, the complete square would look like
(x + 9)² = x² + 18x + 81
but we have only "+ 79" in the original equation.
so, we add the missing 2 (to both sides to keep the equation true)
x² + 18x + 79 + 2 = 0 + 2
x² + 18x + 81 = 2
(x + 9)² = 2
x + 9 = ±sqrt(2)
x1 = sqrt(2) - 9
x2 = -sqrt(2) - 9
x = sqrt(2) - 9, -sqrt(2) - 9
yes, every quadratic equation has 2 solutions.
as every cubic equation has 3 solutions.
and so on.
In a chi-square test, as the value of the χ2 increases, the likelihood of rejecting the null hypothesis ________.
If the chi-square value is going on English the likelihood of rejecting the null hypothesis also increases because there is a chance that the chi-square value increases more than the significant value that is given in the question. So the required answer is that increases as the required answer.
For example, if, according to Mendel's laws, you expected 10 of 20 offspring from a cross to be male and the actual observed number was 8 males, then you might want to know about the "goodness to fit" between the observed and expected.
Were the deviations (differences between observed and expected) the result of chance, or were they due to other factors? How much deviation can occur before you, the investigator must conclude that something other than chance is at work, causing the observed to differ from the expected.
The chi-square test is always testing what scientists call the null hypothesis, which states that there is no significant difference between the expected and observed result.
The formula for calculating chi-square ( 2) is:
2= (o-e)2/e
For more information on the chi-square test click on the link below:
https://brainly.com/question/4543358
#SPJ4
David has 10 yd. Of material that he wiil cut into 15in. Thick mats. How many mats can David make?
Step-by-step explanation:
10 yards is equal to 360 inches. If you divided 360 inches by 15 inches, the answer will be 24. So the answer is 24 mats.
Revision 1. Find the value of the variable that makes these number sentences true: a) h+8=19 b) 2p-6=4 c) y = 12 2. Substitute the value for x in order to find the value of y in the following: a) y=3x+2 ifx=8 b) y=4x-1 ifx=! c) y=0,2x+5 ifx=10 d) y = 10x+12 if x=0,3 3. Write the following as number sentences: a) The difference between two numbers is 25 b) The product of 5 and p is equal to the quotient of q and 2 c) The difference between 14 and 2y is equal to 6 d) The product of 15 and 4 is equal to four less than the sum of x and y. that represent these word problems.
1. The values which the given number sentences true are:
a) 11 b) 5 c) 36
2. After substituting the value of x we get the value for y as :
a) 6 b) 0 c) 7 d) 15
3. The number sentences are :
a) x ₋ y = 25
b) 5 × p = q ÷ 2
c) 2y ₋ 14 = 6
d) 15 × 4 = 4 ₋ (x₊y)
Given in the first bit we need to find the variables:
a) h ₊ 8 = 19
arrange the constants on one side.
h = 19 ₋ 8
h = 11
b) 2p ₋ 6 = 4
arrange the constants on one side.
2p = 4 ₊ 6
2p = 10
p = 10/2
p = 5
c) 1/3 y = 12
cross multiply.
y = 36
Now in the second exercise we are asked to substitute the x value and get the value of y.
a) y = 3x ₊ 2 if x =8
substitute x value in the equation.
y = 3(8) ₊ 2
y = 24 ₊ 2
y = 26
b) y = 4x ₋ 1 if x = 1/4
y = 4(1/4) ₋ 1
y = 1 ₋ 1
y = 0
c) y = 0.2x ₊ 5 if x = 10
y = 0.2(10) ₊ 5
y = 2 ₊ 5
y = 7
d) y = 10x ₊ 12 if x = 0.3
y = 10(0.3) ₊ 12
y = 3 ₊ 12
y = 15
In the last third bit we need to frame equations for the given word problems.
a) The difference between two numbers is 25.
let the two numbers be x and y.
x ₋ y = 25.
b) The product of 5 and p is equal to quotient of q and 2.
5 × p = q ÷ 2
c) The difference between 14 and 2y is equal to 6.
2y ₋ 14 = 6
d) The product of 15 and 4 is equal to four less than the sum of x and y.
15 × 4 = 4 ₋ (x₊y)
Learn more about Solving equations here:
brainly.com/question/13729904
#SPJ9
What is Ah Fo's reply to the magician giving him the three brass pennies?
A. Ah Fo asks for a day to think about the decision.
B. Ah Fo immediately tells the magician what he wants.
C. Ah Fo asks the magician for suggestions.
D. Ah Fo tells the magician that he doesn't want a reward for his help.
The inference is that Ah Fo's reply to the magician giving him the three brass pennies is D.
Ah Fo tells the magician that he doesn't want a reward for his help.
How to illustrate the information?It should be noted that the information is about how the character helped the magician. Despite the help, he didn't request for anything in return.
Therefore, the inference is that Ah Fo's reply to the magician giving him the three brass pennies is that Ah Fo tells the magician that he doesn't want a reward for his help.
In conclusion, the correct option is D.
Learn more about inference on:
brainly.com/question/25280941
#SPJ1
Read the excerpt from "The Three Brass Pennies."
“And what might your decision be?” asked the magician, as he spread out the three brass pennies before him.
“I would ask first,” went on Ah Fo, “for the power to read accurately the thoughts of others; secondly, for the power to foretell my own future at least a month in advance of any given moment; third, for the power to acquire all learning without any effort!”
When he had finished, the magician sat back with a gasp, took off his spectacles and wiped them, put them on once more, and stared at Ah Fo in astonishment and not a little dismay. “This is most unusual,” he stammered, “not to say somewhat dangerous! Have you duly considered, my son, the extent of all you ask?”
Find the distance between the two points in simplest radical form.
(-8, 7) and (-4,5)
The distance between the two points in simplest radical form is 2√5.
Given the points are (₋8 , 7) and (₋4 , 5)
Let (₋8 , 7) be (x₁ , y₁) and
(₋4 , 5) be (x₂ , y₂)
we know that distance between two points is:
√(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²
Substitute (₋8 , 7) and (₋4 , 5) into the above distance formula.
√(₋4 ₊ 8)² ₊ (5 ₋ 7)²
calculate the sum or the difference.
√(4)² ₊ (₋2)²
Determine the sign for radical or exponential expressions.
√16 ₊ 4
√20
Now factor and rewrite the radicand in the exponential form.
√2²×5
Rewrite the expression using ⁿ√ab = ⁿ√a . ⁿ√b
√2² × √5
simplify the radical expression.
2√5
hence we get the distance between two points in radical form as 2√5 units.
Learn more about Distance between two points here:
brainly.com/question/23848540
#SPJ9
(5,-4), (1, -7) distance formula
Answer:
The distance between both points is 5 units
Step-by-step explanation:
The distance formula is: d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
Graph the inequality.
y ≥ |x+5|-3
The graph that represents the inequality is graph b
Graph of inequalitiesFrom the question, we are to graph the given inequality
The given inequality is
y ≥ |x+5|-3
To graph the inequality, we will write the inequality as an equation and we will find some of the points on the line
When x = 0
y = |x+5|-3
y = |0+5|-3
y = |-3
When y = 0
y = |x+5|-3
0 = |x+5|-3
0 = (x + 5) - 3 and 0 = -(x + 5) -3
3 = x + 5
x = 3- 5
x = -2
and
0 = -(x + 5) -3
x + 5 = -3
x = -3 - 5
x = -8
The graphs that has the points above are graphs b and d.
Since the inequality sign is ≥ when y is the subject, the solution to the inequality is above the lines.
Hence, the graph of the inequality is graph b.
The graph of the inequality is shown below
Learn more on Graphs of inequality here: https://brainly.com/question/371134
#SPJ1
Evaluate the function.
f(x) = x² - 4x – 12
Find f(-7)
Answer:
Your answer is 65
Step-by-step explanation:
f(x) = x² - 4x - 12
f(-7) = (-7)² - 4 x (-7) - 12
= 49 - (-28) - 12
= 49 + 28 - 12
= 77 - 12
= 65
which function below has the largest slope? f(x) x f(x) −3 −10 −1 −7 1 −4 g(x) equals one half x plus 3 h(x) lance gains 1 level each time he plays his favorite video game. he started at level 10. (2 points) f(x) g(x) h(x) the functions all have the same slope
The function with the largest slope would be f(x) = 1.5
What is the slope in math?
The inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").For f(x), choose any two points say (-3,-10) and (-1,-7) where
x1 = -3 ; y1 = -10 ; x2 = -1 ; y2 = -7
Find the slope (m)
m=(y2 - y1) / (x2 - x1) = (-7 - -10)/ (-1 - -3) = 3/2 or 1.5
slope of f(x) = 1.5
g(x) = 1/2 x + 3
standard formula: y = mx + b where m is the slope.
slope of g(x) = 1/2 or 0.5
Since lance gains 1 level every time he plays,
slope = 1/1 = 1 so, slope of h(x) = 1
the function with the largest slope would be f(x) = 1.5
Learn more about slope
brainly.com/question/3605446
#SPJ4
Please help asap the picture has everything needed to answer the question. Thank you!
Answer:
Step-by-step explanation:
f(x) = 0
then x =
-2 and +2
f(x) = 5
then x = +3 and -3
Which number rounds to 3,000 if you round it to the nearest thousand, AND to 2,500 if you round it to the nearest hundred?
Answer:
2,739 and 2,489
Step-by-step explanation:
There are many solutions to both problems:
(Rules)
If the number is 5 or higher round (up)
If the number is 4 or lower round (down)
2,739⇒3,000
↑↑↑
Higher than 500 so round up to get 3,000
2,489⇒2,500
↑↑
Higher than 50 so round up to get 2500
2,739 and 2500 are both possible solutions.
A table
cloth is 82 inches
long. What is its length in
feet and inches?
A snail moves at a pace of 2 ft/min. how fast does the snail move in inches/hour?
The snail move at the pace in 1440in/hr.
Speed:
Speed is measured as the ratio of distance to the time in which the distance was covered.
Speed is a scalar quantity as it has only direction and no magnitude.
Given,
A snail moves at a pace of 2 ft/min.
Here we need to find how fast does the snail move in inches/hour.
We know that,
1 ft/min = 720.00 in/h
So, here we have 2 feet/minute.
That is equal to
=> 2 x 720.00 in/h
When we multiply it then we get the value of,
=> 1440 in/hr
Therefore, the snail move at the pace in 1440in/hr.
To know more about Speed here.
https://brainly.com/question/28224010
#SPJ4
NEED HELP 25 POINTS COME NOW
HELP PLEASE !!! Phone will die soon
Answer:
The overall change was 58 degrees
Step-by-step explanation:
-2 + 58 = 56
How about members of a local professional sports team who are conducting a survey? which data collection method would provide biased results for the q
This is because they are likely to report their favorite game as soccer or some other related game.
What is survey explain?
In order to gather information about a service, product, or process, a survey is described as the act of looking at a process or questioning a predetermined sample of people. Surveys used to gather data ask a specific set of people about their beliefs, actions, or knowledge.What three sorts of surveys are there?
Most studies fall into one of three categories: exploratory, descriptive, or causal. Each has a distinct function and can only be applied in specified ways.
The biased result would be provided by the -
Ask people attending a soccer game
This is because they are likely to report their favorite game as soccer or some other related game.
Learn more about surveys
brainly.com/question/17373064
#SPJ4
Find the area of the parallelogram with the given vertices. k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), n(6, 7, 3).
The area of the parallelogram is [tex]\sqrt{132}[/tex].
What is a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.
Given that,
vertices k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), and n(6, 7, 3)
Area of Parallelogram = |KL × KN|
KL = (1, 1, 3) - (1, 3, 5) = (0, 2, 2)
KN = (1, 2, 3) - (3, 7, 3) = (2, 5, 0)
Area of the parallelogram = cross product of two vectors, represented by the adjacent sides.
Area of Parallelogram = |(0, 2, 2) × (2, 5, 0)|
= |i(2 × 0 - 5 × 2) - j(0 × 0 - 2 × 2) + k(0 × 5 - 2 × 2)|
= |i(-10) - j(-4) + k(-4)|
= |-10i + 4j - 4k|
= [tex]\sqrt{(-10)^{2}+(4)^{2}+(-4)^{2} }[/tex]
= [tex]\sqrt{100+16+16}[/tex]
= [tex]\sqrt{132}[/tex]
Hence, The area of the parallelogram is [tex]\sqrt{132}[/tex].
To learn more about the parallelogram from the given link:
https://brainly.com/question/970600
#SPJ4
Find the first four multiples of 15.
Answer:
15, 30, 45, 60
Step-by-step explanation:
ALL OF THE MULTIPLES OF 15
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735
All numbers can be divided or the product of 15 is a multiple of 15.
Children shorter than 48 inches get into the water park free. Howard is currently 32 inches tall. He grows approximately 3 inches per year. Write an inequality to represent the number of years, y, that he can get in free.
Answer:
5 year
3 inches every year 48 minus 32 equals 16 3 Inches divided into 16 equal 5.333333 round it equals 5 years y = 5 years
Select 3 collinear points.
r
A
B
D
s
N
C
the number of questions marked incorrect on a statistics midterm, y, is dependent on the pages of notes a student wrote over the semester, x, and can be modeled by the function y(x)
The another point is (2,23) of the function y(x).
What does regression analysis mean?
Finding the variables that have an effect on an interest issue can be done with accuracy using regression analysis. You can confidently establish which elements are most important, which ones can be ignored, and how these factors interact when you do a regression.The given Regression is -
y (X) = 30 - 3. 5 x .......................(1)
now when x = 0 , y(x) = 30 ..........................(1)
thus , y- intercept = 30
one point is ( 0 , 30 )
Again taking x = 0 we get
y(x) = 30 - 3. 5 x 2 by (1)
y(X) = 23
Thus the another point is (2,23).
Learn more about regression analysis
brainly.com/question/28298210
#SPJ4
7 times what makes 2555?
365
304
200
1000
365 is your answer...