Answer:
The product of the terms in the given expression is -90k⁷
Step-by-step explanation:
10k⁴ · (-9k³)
When we multiply exponents, then we are going to add the exponential together. So, we will add 4 and 3 together which is 7. Since our base numbers are different, then we also multiply them together. So, we will multiply 10 by -9 which is -90.
-90k⁷
Determine which line the point (1, -2) lies on. y = x + 5 y = 2x + 1 y = 2x - 4 y = x -2
Answer:
y = 2x - 4
Step-by-step explanation:
Given point (1, -2) so x = 1, y = -2
Just plug in and verify
y = x + 5
y = 1 + 5 = 6 ≠ -2 , noy = 2x + 1
y = 2*1 + 1 = 3≠ -2 , noy = 2x - 4
y = 2*1 - 4 = -2, yesy = x -2
y = 1 - 2 = -1 ≠ -2 , no Find the Slope of the line through ( -4, 2 ) and (5, 8 )
Answer:
2/3
Step-by-step explanation:
Y2-Y1/X2-X1
8-2/5-(-4)
6/5+4
6/9
Slope: 2/3
answer: 2/3
step by step:
slope(m)=[tex]y2-y1/x2-x1[/tex]
=8-2/5+4
= 6/9
=2/3
You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more than 48ft. Of trim of the banner. What are the possible widths of the banner?
Answer:
6 ft
Step-by-step explanation:
Given that:
Length of rectangular banner = 18 ft
Total trim of banner available = 48 ft
To find:
Possible widths of the banner = ?
Solution:
Maximum trim available of the banner around the entire border of the banner = 48 ft
i.e. we are given the total perimeter of the rectangular banner.
Formula for perimeter of a rectangle is given as:
[tex]Perimeter = 2 \times (Length + Width)[/tex]
Putting the values of perimeter and length to find the value of width.
[tex]48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}[/tex]
So, width possible is 6ft.
Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, how old is Marcus? Choose the answer below that is a viable solution to this problem.
The age of marcus is 10 years old.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, then we have;
The reason for "5 years less", means we subtract 5, but from what exactly.
Now the next portion of the sentence says "twice Marco's Age" therefore, its 2x so we must subtract 5 from 2x.
15 = 2x - 5
Now we just solve for x.
15 = 2x - 5
Add 5 to both sides.
20 = 2x
Divide by 2 on both sides;
10 = x
Thus As a result, Marcus is 10 years old.
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A jar holdsFraction 3 over 4 gallon of juice when it is Fraction 7 over 8 full. Which statement best describes the quotient of 3 over 4division sign 7 over 8? The maximum amount of juice the jar can hold is Fraction 7 over 6 gallons. The maximum amount of juice the jar can hold is Fraction 6 over 7 gallon. The amount of juice that can be still poured in the jar is Fraction 7 over 6 gallons. The amount of juice that can be still poured in the jar is Fraction 6 over 7 gallon.
Answer: 3/4 / 7/8
Step-by-step explanation:
= 3/4 * 8/7 = 24/28 = 6/7 gallons
This is the volume of juice when the jar is full.
Answer:
6/7
Step-by-step explanation:
Mark incorrectly solved the inequality -4(5/2+3/2x) > 8. His work is shown. Which step shows an error based on the inequality ONLY from the previous step? Help please!!
Answer : The incorrect step is, (A) step 1: -10 + 6x > 8
Step-by-step explanation :
The given expression is:
[tex]-4(\frac{5}{2}+\frac{3}{2}x)>8[/tex]
Now solving this expression step by step.
First -4 distributed over parentheses.
[tex](-4\times \frac{5}{2})+(-4\times \frac{3}{2}x)>8[/tex]
Now solving bracket term, we get:
[tex]-10-6x>8[/tex]
Now taking like terms together, we get:
[tex]-6x>8+10[/tex]
[tex]-6x>18[/tex]
[tex]-x>3[/tex]
Now multiplying this expression by (-1), we get:
[tex]x>-3[/tex]
Thus, the incorrect step is, (A) step 1: -10 + 6x > 8
Answer:
A. Step 1: -10 + 6x > 8
Step-by-step explanation:
The correct way:
Step 1: Multiply both sides by [tex]-1[/tex] (reverse the inequality)
[tex]\left(-4\left(\frac{5}{2}+\frac{3}{2}x\right)\right)\left(-1\right)<8\left(-1\right)[/tex]
Step 2: Simplify
[tex]4\left(\frac{5}{2}+\frac{3}{2}x\right)<-8[/tex]
Step 3: Divide both sides by 4
[tex]\frac{4\left(\frac{5}{2}+\frac{3}{2}x\right)}{4}<\frac{-8}{4}[/tex]
Step 4: Simplify
[tex]\frac{5}{2}+\frac{3}{2}x<-2[/tex]
Step 5: Subtract [tex]\frac{5}{2}[/tex] from both sides
[tex]\frac{5}{2}+\frac{3}{2}x-\frac{5}{2}<-2-\frac{5}{2}[/tex]
Step 6: Simplify
[tex]\frac{3}{2}x<-\frac{9}{2}[/tex]
Step 7: Multiply both sides by 2
[tex]2\cdot \frac{3}{2}x<2\left(-\frac{9}{2}\right)[/tex]
Step 8: Simplify
[tex]3x<-9[/tex]
Step 9: Divide both sides by 3
[tex]\frac{3x}{3}<\frac{-9}{3}[/tex]
Step 10: Simplify
[tex]x<-3[/tex]
Which statement comparing |−12| and |8| is true?
Answer:
[tex]\huge\boxed{|-12|\ is\ greater\ than\ |8|}[/tex]
Step-by-step explanation:
|-12| = 12
|8| = 8
So, the statement is :
|-12| is greater than |8|
Carmen draws this area model to help her divide 1,800 by 9. She says the quotient is 20. Does Carmen's model make sense? Use the drop-down menus to explain.
Answer:
No shes wrong
Step-by-step explanation:
IF you divide 1800 divided by 9 you will get 200 not 20 so she is wrong.
Here is a collection of dogs, mice, and cats: There are 6 dogs, 2 mice, and 4 cats. Write two sentences that describe a ratio of types of animals in this collection.
Answer:
The ratio of dogs to mice is
6 to 2; 6:2; 6/2
The ratio of cats to dogs is
4 to 6; 4:6; 4/6
Hope this helped~
Your smart local crackhead
The ratio of the dogs, mice, and cats is 3 : 1 : 2.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, there are 6 dogs, 2 mice, and 4 cats.
The ratio of the collection is:
dogs : mice : cats
6 : 2 : 4
= 3 : 1 : 2
Hence, the ratio of the dogs, mice, and cats is 3 : 1 : 2.
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find the product of (a+b) and(a power 2 -ab +b power 2)
[tex]\circ\tt\:(a+b)(a^2-ab+b^2)[/tex]
[tex]\circ\tt\:a(a^2-ab+b^2)+b(a^2-ab+b^2)[/tex]
[tex]\circ\tt\:(a^3-a^2b+ab^2)+(a^2b-ab^2+b^3)[/tex]
[tex]\circ\tt\:a^3+(a^2b-a^2b)+(ab^2-ab^2)+b^3[/tex]
[tex]\circ\tt\:a^3+0+0+b^3[/tex]
[tex]\bigstar\:\boxed{\bf{\pink{a^3+b^3} }}[/tex]
What 2 consecutive whole numbers does v3 fall between?
Answer:
1 and 2
Step-by-step explanation:
√3 is ≈ 1.7
This is between 1 and 2
What is an equation of a line that passes through the point of (-8 2) and (-4,-3)
Answer:
y = -5/4x -8Step-by-step explanation:
[tex](-8,2)=(x_1 ,y_1)\\(-4 ,-3) = (x_2 ,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-2}{x-(-8)}= \frac{-3-2}{-4-(-8)}\\ \\\frac{y-2}{x+8}= \frac{-5}{-4+8} \\ \\\\\frac{y-2}{x+8} = \frac{-5}{4}\\ \\Cross\:Multiply \\4(y-2) = -5(x+8)\\\\4y-8 =- 5x-40\\\\4y = -5x-40+8\\\\4y =- 5x-32\\\\\frac{4y}{4} = \frac{-5x}{4} + \frac{-32}{4} \\\\y = -\frac{5}{4}x-8[/tex]
The width of a rectangle measures (3.1s-1.6)(3.1s−1.6) centimeters, and its length measures (7.2s-4.6)(7.2s−4.6) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? A. −6.2+10.3s B. −12.4+20.6s C. 1.5s+2.6 D. 5.2+3s
Answer:
B) -12.4 + 20.6s
Step-by-step explanation:
width = (3.1s - 1.6) cm
Length = (7.2s - 4.6) cm
Perimeter of rectangle = 2* (length +width)
= 2 *(7.2s - 4.6 + 3.1s - 1.6) {add like terms}
= 2* (7.2s + 3.1s - 4.6 - 1.6)
= 2*( 10.3s - 6.2) {distributive property}
= 2*10.3s - 2*6.2
= 20.6s - 12.4
the 4th tetm of a G.P. is 54 and the 6th term is 24. Is 64/9 a term of the G.p.?
Answer:
d
Step-by-step explanation:
Here is a pic
Hope this helps
the midpoint of ab is M (-6,1 ). if the coordinates of A are (-7,-3 ),what are the coordinates of B
Answer:
B(-5,5).
Step-by-step explanation:
It is given that midpoint of AB is M (-6,1).
Coordinates of A are (-7,-3 ).
We need to find the coordinates of point B.
Let coordinates of point B are (a,b).
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Midpoint of AB is
[tex]Midpoint=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)[/tex]
[tex](-6,1)=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-7+a}{2}=-6[/tex]
[tex]-7+a=-12[/tex]
[tex]a=-12+7[/tex]
[tex]a=-5[/tex]
[tex]\dfrac{-3+b}{2}=1[/tex]
[tex]-3+b=2[/tex]
[tex]b=2+3[/tex]
[tex]b=5[/tex]
Therefore, the coordinates of B are (-5,5).
8 times 10 to the power of 5 is how many as great as 8 times 10 to the power of -1
Answer:
6 times as great
Step-by-step explanation:
8*10 to the power of 5
8*10 to the power of -1
Answer:
10^6
Step-by-step explanation:
● 8×10^5
● 8 × 10^(-1)
Divide the the first number by the second one
● 8×10^5/ 8×10^(-1) = 10^(5-(-1)) = 10^6
So 8×10^5 is greater 10^6 times than 8×10^(-1)
PLS ANSWER ASAP!!! Which quadratic equation is equivalent to (x – 4)2 – (x – 4) – 6 = 0? A.(u – 4)2 – (u – 4) – 6 = 0 where u = (x – 4) B, u2 – (u – 4) – 6 = 0 where u = (x – 4) C. u2 – 16 – u – 6 = 0 where u = (x – 4) D. u2 – u – 6 = 0 where u = (x – 4)
Answer:
D.) u^2 - u-6 = 0 where u = (x-4)
Step-by-step explanation:
Answer: D
Step-by-step explanation:
edge 23
Can someone please help me?
Answer:
The next number is 1 and the pattern is divide by 4.
Step-by-step explanation:
256÷4=64
64÷4=16
16÷4=4
4÷4=1
What is 4/10 - 2/15 simplify
A. 4/15
B. 2/5
C.8/18
D.2/3
PLEASE HELP!! A classmate wrote the set notation for the values of the domain of a function {−5, −4, −3, −2, −1, 0} as {x | −5 ≤ x ≤ 0}. Explain the student's error.
A. The student should have listed 0 before −5
B. The set notation includes all values from −5 to 0, but the domain only includes the integer values.
C. The student should have used less than symbols rather than less than or equal to symbols.
D. The student should have used greater than or equal to symbols rather than less than or equal to symbols.
The set notation includes all values from -5 to 0, but the domain only includes the integer values
eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}
==========================================================
Further explanation:
Let's go through the answer choices one by one
A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that [tex]-5 \le x \le 0[/tex] is the correct order as well.B. This is true. A value like x = -1.2 is in the set [tex]\left\{x| -5 \le x \le 0\right\}[/tex] since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write [tex]\left\{x| x\in\mathbb{Z}, \ -5 \le x \le 0\right\}[/tex]. The portion [tex]x \in \mathbb{Z}[/tex] means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers". C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.D. This is false. Writing [tex]-5 \ge x \ge 0[/tex] would not make any sense. This is because that compound inequality breaks down into [tex]-5 \ge x \ \text{ and } \ x \ge 0[/tex]. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.uhm, yeah im not very good at math, i need to graduate man, someone help lol
Answer:
d=√73=8.544
Step-by-step explanation:
Find distance (d) between market (0,8) , court house(6,5) and library(6,-1)
d between two pint is :
d=√(x2-x1)²-(y2-y1)²
d between market and court house:
d=√(6-0)²+(5-8)²
d=√36+9=√45 = 6.7082 ≅6.71 rounded to the nearest hundredths
d between courthouse and the library:
d=√(6-6)²+(-1-5)²
d=√36=6
the distance that Runner A ran=6.71+6=12.71
the distance from the library to the school:
d=√(6-(-2))²+(-1-(-4))²
d=√8²+3²
d=√64+9
d=√73=8.544 ( rounded to the nearest hundredth)
Runner B went 8.544 further than Runner A before stopping at school ( which is the distance between the library and the school.
I need the answers from question 10 to 17
You don’t have to answer all of them but I would like one or maybe a couple of answers
Solve the equation for y. Then find the value of y for each value of x.
y + 6x = 11; x= -2,0,4
Solve the equation for y.
Answer: for x=-2
y+6(-2)=11
y+(-12)=11
y=11+12
y=23
for x=0
y+(6*0)=11
y=11
for x=4
y+6(4)=11
y+24=11
y=11-24
y= -13
Step)-by-step explanation:
you just remplace x with his value and solve y
Determine the product if the exspressian . It must be in simplified form. 4/5 times 1/2
Answer:
2/5
Step-by-step explanation:
cross simplify the 4 and 2
the equation becomes:
2/5 • 1/1 = 2/5
Answer:
2/5
Step-by-step explanation:
you just cross multyply so 4x1 is 4 and 5x2 is 10 and you get 4/10 and then you simplify it by 2 and that will get you 2/5
How many $10$-digit numbers are there, such that the sum of the digits is divisible by $2$?
Complete question is;
How many 10 - digit numbers are there, such that the sum of the digits is divisible by 2?
Answer:
There are 4500000000 ten digit numbers whose sum is divisible by 2.
Step-by-step explanation:
Since we are dealing with 10 digit numbers, the first 10 digit number whose sum is divisible by 2 is; 1000000001.
While the last 10 digit number whose sum is divisible by 2 is 9999999999.
Now,to find how many 10 digit numbers whose sum are divisible by 2, we will simply divide the difference of both numbers by 2 and then add 1 to the answer. This is because subtracting the minimum from the maximum gives us the number of 10 digit numbers we have. Then dividing by 2 gives the number of ten digit numbers with sum divisible by 2 in between. Then adding 1 to the result to cover the number not included gives;
((9999999999 - 1000000001)/2) + 1 = 4500000000
A certain number is both a perfect square root and a perfect cube will its cube root and square root always be different numbers
Answer:
The exception is 1
Step-by-step explanation:
The cube root of 1 is 1, and the square root of 1 is also 1..
hence, 1 has cube root equal to square root
Jack bought 4 bagels for $3.00. How many bagels can he buy for $4.50?
Answer:
6 baglesStep-by-step explanation:
$3.00 - 4 bagles
÷2 ÷2
$1.50 - 2 bagles
×3 ×3
$4.5 - 6 bagles
Find the perimeter and area of the figure.
10 ft
3 ft
The perimeter of the figure is
feet.
47
The area of the figure is
square feet.
HELP ME PLEASE
Answer: the perimeter is 26 feet squared. the area is 30 feet
perimeter is all sides added together:
10+10+3+3= 26
area is base times length
10×3=30
dont forget units
help me solve for the variable
-12r + 4 = 100
r=
Answer:
-8
Step-by-step explanation:
-12r+4=100
100-4=96
-12r=96
96/-12=-8
1. A grocery store just received a shipment of 200 dozen eggs. If 12 eggs = 1 dozen, how many eggs did
the store receive?
Answer:
they received 2400 eggs.
Step-by-step explanation:
12 * 200 = 2400
The number of eggs did the store receive is 2400 eggs.
To find number of eggs.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers. An example of arithmetic is adding two and two together to make four.
Given that:
A dozen (commonly abbreviated doz or dz) is a grouping of twelve.
1 dozen= 12 eggs
1/2 dozen=6 eggs
So upon calculate the 200 dozen of egg, to multiply with 1 dozen of eggs,
200 dozen= 200*12=2400 eggs
So, the number of eggs did the store receive is 2400 eggs.
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