Answer:
option 4
Step-by-step explanation:
(y intercept and negative slope)
Multiplying radicals. Simplify
Answer:
[tex]\sqrt[9]{10}[/tex]
Step-by-step explanation:
When you're multiplying radicals you start by multiplying inside the radical. Break it down so it's easier for you:
1. [tex]\sqrt{15}*\sqrt{6} = \sqrt{90}[/tex] beacause 15 * 6 = 90
2. The next step is to simplify that radical. You simplify by finding factors of that number. The factors of 90 are:
1 * 902* 453 * 305 * 186 * 159 * 10You want to take the biggest factors of that number (yours is 9 * 10). After that you are going to break it down more. What are the factors of 9 and what are the factors of 10? Well the biggest factors of 9 are 3 * 3 and the biggest factors of 10 are 5 * 2, so 10 cannot be broken down anymore because it doesn't have two of the same numbers so 10 is going to stay the same, but 9 has two of the same number (3). What we're left with is [tex]\sqrt[3]{10}[/tex] because the same numbers stay out of the radical and the single number stays inside.
3. We can't forget about the 3 that we left out, so what we're going to do is write [tex]3 *\sqrt[3]{10}[/tex]. When you multiply that out you keep the outside with the outisde which results in the answer being [tex]\sqrt[9]{10}[/tex] because this cannot be simplified anymore.
X- 7y = -21 2x -14y =-42
Solve by substitution.
This is the possible solution. If the question isn't set up right Please tell me and I'll fix what needs to be changed. All the best
the given system of equations has no Solution.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given, a system of equations:
X- 7y = -21......(1)
2x -14y =-42.....(2)
From equation 1
x = -21 + 7y
Substitute the value in equation 2
2(-21 + 7y) -14y-14y = -42
Since the given equation are same
Therefore, given equations have no Solution.
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Write an inequality equation: Lyla has $100 in her bank account. She wants to buy presents that are $5 each. Wrapping paper will cost her $25. How many presents can she buy?
Answer:
Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?
Step-by-step explanation:
Multiply: 14(0.25). If you missed this problem, review Example 5.3.5.
Simplify: 100(0.2 + 0.05n). If you missed this problem, review Example 7.4.6.
Solve: 0.25x + 0.10(x + 4) = 2.5 If you missed this problem, review Example 8.6.8.
Imagine taking a handful of coins from your pocket or purse and placing them on your desk. How would you determine the value of that pile of coins?
If you can form a step-by-step plan for finding the total value of the coins, it will help you as you begin solving coin word problems.
One way to bring some order to the mess of coins would be to separate the coins into stacks according to their value. Quarters would go with quarters, dimes with dimes, nickels with nickels, and so on. To get the total value of all the coins, you would add the total value of each pile.Figure 9.3.1 - To determine the total value of a stack of nickels, multiply the number of nickels times the value of one nickel.For coins of the same type, the total value can be found as follows:
number⋅value=totalvalue(9.3.1)
where number is the number of coins, value is the value of each coin, and total value is the total value of all the coins.
You could continue this process for each type of coin, and then you would know the total value of each type of coin. To get the total value of all the coins, add the total value of each type of coin.
Let's look at a specific case. Suppose there are 14 quarters, 17 dimes, 21 nickels, and 39 pennies. We'll make a table to organize the information – the type of coin, the number of each, and the value.
Table 9.3.1
Type Number Value ($) Total Value ($)
Quarters 14 0.25 3.50
Dimes 17 0.10 1.70
Nickels 21 0.05 1.05
Pennies 39 0.01 0.39
6.64
How would you determine the value of each pile? Think about the dime pile—how much is it worth? If you count the number of dimes, you'll know how many you have—the number of dimes.
But this does not tell you the value of all the dimes. Say you counted 17 dimes, how much are they worth? Each dime is worth $0.10 —that is the value of one dime. To find the total value of the pile of 17 dimes, multiply 17 by $0.10 to get $1.70. This is the total value of all 17 dimes.
. . . .. . . .. . . .. so easy
Answer:
i aint smart but im a the last one 4/8
Answer:
The answer is 4/8.
Step-by-step explanation:
Because 4 is half of 8 while the others are either 1 more or 1 less then half or just don't make half at all. So the only answer here that makes sense is 4/8
(pls do tell me if I'm wrong)
Each small square on this scale weighs 1 unit. Each larger square weighs 10 units. The weight of the triangle x is unknown. The scale is balanced. Look at the image. A balanced scale. On one side there are four small squares and three large squares each labeled ten. On the other side there are two small squares, two large squares each labeled ten, and a triangle labeled x. Question 1 Part A Write an equation to represent relationship of the weights shown on the scale. Enter the correct answer in the box.
The equation to represent the relationship of the weights shown on the scale s [tex]22 + x = 34[/tex]
The weights are given as:
[tex]Small\ Square = 1[/tex]
[tex]Larger\ Square = 10[/tex]
The total weight on one side, where there are 4 small squares and 3 large squares is:
[tex]Total =4\times Small\ Square + 3 \times Larger\ Square[/tex]
[tex]Total =4\times 1 + 3 \times 10[/tex]
[tex]Total =34[/tex]
The total weight on the other side, where there are 2 small squares, 2 large squares and 1 triangle is:
[tex]Total =2\times Small\ Square + 2 \times Larger\ Square + 1\times triangle[/tex]
[tex]Total =2\times 1+ 2 \times 10+ 1\times triangle[/tex]
[tex]Total =2+ 20+ 1\times triangle[/tex]
[tex]Total =22+ 1\times triangle[/tex]
[tex]Total =22+ triangle[/tex]
The weight of the triangle is x.
So, we have:
[tex]Total =22+ x[/tex]
The weights on both sides are equal, because the scale is balanced.
So, we have:
[tex]22 + x = 34[/tex]
Hence, the equation is [tex]22 + x = 34[/tex]
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The diagonal of a square is 8 cm.
What is the length of the side of this square?
Give your answer as an exact surd in its simplest form
the length of the side of this square is [tex]4\sqrt{2} \:or \:5.65[/tex]cm
Answer:
Solutions Given:
let diagonal of square be AC: 8 cm
let each side be a.
As diagonal bisect square.
let it forms right angled triangle ABC .
Where diagonal AC is hypotenuse and a is their opposite side and base.
By using Pythagoras law
hypotenuse ²=opposite side²+base side²
8²=a²+a²
64=2a²
a²=[tex]\frac{64}{2}[/tex]
a²=32
doing square root on both side
[tex]\sqrt{a²}=\sqrt{32}[/tex]
a=±[tex]\sqrt{2*2*2*2*2}[/tex]
a=±2*2[tex]\sqrt{2}[/tex]
Since side of square is always positive so
a=4[tex]\sqrt{2}[/tex] or 5.65 cm
Answer:
Given :
↠ The diagonal of a square is 8 cm.
To Find :
↠ The length of the side of square.
Using Formula :
Here is the formula to find the side of square if diagonal is given :
[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]
Where :
➺ a = side of square ➺ d = diagonal of squareSolution :
Substituting the given value in the required formula :
[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]
Hence, the length of the side of square is 5.6 cm.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
Pls explain how to solve it!!
Step-by-step explanation:
honestly kinda stumped so ima give you the best copy and pasted answer ever
A:
Isolate the variable by dividing each side by factors that don't contain the variable. y = x/3 − 4/3
and also x=7 y=1
HOPE I HELPED, SORRY IF I GOT IT WRONG <3
I need help, could someone please explain this.
Find the polynomial function in standard form that has the zeros listed. 1-2i and 1 + 2 i
Answer:
y = x² -2x +5
Step-by-step explanation:
When a polynomial has q as a zero, it has (x-q) as a factor. Your polynomial has factors (x -(1-2i)) and (x -(1+2i)). The polynomial will be the product of these factors.
__
y = (x -(1 -2i))(x -(1 +2i))
y = ((x -1) +2i)((x -1) -2i) = (x -1)² -(2i)² = x² -2x +1 -4(-1)
y = x² -2x +5
_____
Additional comments
i is the imaginary number √(-1), so i² = -1.
The two given roots differ only in the sign of their imaginary parts, so they are "conjugates" of each other. Complex roots of polynomials with real coefficients always come in conjugate pairs. (In some problems, you will be expected to supply the missing root of a conjugate pair.)
The expression for the product of the factors is simplified using the factoring for the difference of squares:
(a -b)(a +b) = a² -b² . . . . . . . here, we have a=(x-1); b=2i
How many solutions does the following equations have |6x+12|= 12 |6x+12|= -1 |6x+12|= 0 show steps to sloving. How do you know the number or solutions?
Answer:
|6x+12|= 12 has 2 solutions --> x = -4 or x = 0
|6x+12|= -1 has No solutions
∣6x+12∣=0 has 1 solution --> x = -2
Explanation:
|6x+12|= 12
- Break |6x+12| = 12 down into two equations -
↓
6x + 12 = 12
6x + 12 = −12
- Solve both equations to x -
6x + 12 = 12
6x + 12 = −12
↓
6x = 0
6x = −24
↓
x = 0
x = −4
|6x+12|= -1
The absolute value function is always positive or 0 so false.
∣6x+12∣=0
- Because its 0, we simply just solve the equation -
6x + 12 = 0
↓
6x = -12
↓
x = -2
~That's All Folks~
-Siascon
Vasudevan invested rupees 60000 at an interest rate of 12% per annum compounded half yearly what amount would he get after 6 months?
Answer:
Fv = Pv(1 + i/m ) n×m
=60 000(1 + 0.12/2) 1×2
=60 000(1.06) ²
=60 000×1.1236
=67 416
Please helpppppppppp
Answer:add 126 and 21 and 1.19
Step-by-step explanation:
126+21+1.19=
hope this helped
Answer:
7.14
Step-by-step explanation:
126 miles divided by 21 miles is 6 miles
So 6 gallons for 126 miles
1.19 times 6 is 7.14
Which number line and equation show how to find the distance from -2 to - 5?
Answer:
B
Step-by-step explanation:
If you're concerned with the points -2 and -5, you would be looking for a number line with those points plotted on it. The only one is ...
number line B
The sides of two cubes differ by 2 cm and their volumes differ
by 152 cm^3 Find the length of the side of the smaller
culce.
The length of the side of the smaller cube is 3.48cm
Let the length of the smaller side be xThe length of the bigger side will be x + 2Volume of the smaller cube = x^3Volume of the larger cube = (x+2)^3If their volumes differ by 152 cm^3, then;
x^3 - (x+2)^3 = 153
Expand
x^3 - (x^3 + 3x^2(2^2) + 3x(2^3) + 2^4) = 153
x^3-x^3-12x^2-24x + 16 = 153
-12x^2-24x + 16 = 153
12x^2 + 24x - 16 - 153 = 0
12x^2 + 24 -169 = 0
On factorizing, the value of x is 3.48. This shows that the length of the side of the smaller cube is 3.48cm
Learn more on volume of cubes here: https://brainly.com/question/1972490
у
(x, y) (?x, ?y)
A'
3-4-3-2-10
1
2
B
C
B
с
Answer:c
Step-by-step explanation:
anser :c
Select the situation that can be represented by 9 x 4.
a
Yuri and his family buy 9 loaves of white bread and 4 loaves of wheat bread.
b
Yuri and his family buy 9 loaves of bread. They give their neighbor 4 loaves.
c
Yuri and his family eat 9 loaves of bread each week for 4 weeks.
d
Yuri and his family eat 9 slices of bread on Monday and 4 slices on Tuesday.
Answer:
C is the answer because it makes the most sense
How to make the mark of degree on the calculator ??
Answer:
most models of scientific calculators in degree mode, all you have to do is press "Mode" and then look at the numbers on the screen beside the menu items. Locate the number beside "Deg" or "Degrees" and press it to change the mode of your calculator
What is the slope of the line that connects the points (5, 4) and (-3, 3)?-1/8 1/8 8 -8
Answer: 1/8
Step-by-step explanation: 3-4 = -1
-3-5= -8
-1/-8=1/8
Divide.
(2x² - 2x-7) divided by (x+2)
Your answer should give the quotient and the remainder.
Answer:
2x³-2x²-3x-14
Hope it helps you
Can anyone help me with my homework
Answer:
x = the number
Step-by-step explanation:
15.) 2x + 9 = 25
16.) 3x - 6 = 21
17.) 7x = 12 + 3x
18.) 4x = 18 + x
19.) 2x + 24 = 8x
20.) 30 - x = 4x
Please answer!!!!!!!!!!!!!! 25 PTS!
Answer:
b
Step-by-step explanation:
b
Please help! If possible please show your work. Thank you in advance!! :D
Answer:
(-4)³ = -64-64Step-by-step explanation:
The first step in solving the equation is to cube both sides:
(∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64
x = -64 . . . . . simplified
__
We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.
∛(-64) = -4 . . . true
Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.
So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.
The graph for the first equation of a system is shown in orange. The second equation is:
3y+30=6x
What is the solution to the system?
A. (2, –10)
B. (1, –8)
C. (–2, –14)
D.(2, –6)
Answer:
b
Step-by-step explanation:
Slope of the first one:
(-6-0)/(0--3) = -6/3 = -2
y = -2x - 6
3y + 30 = 6x
y + 10 = 2x
-2x - 6 + 10 = 2x
4 = 4x
x = 1
y = -2(1) - 6
y = -8
hey i need some help with this one.
Answer:
y = -2x - 8
Here's how I got that:
- You first assign the points -
(-8, 8) → x1 = -8, y1 = 8
(1, -10) → x2 = 1, y2 = -10
- Now you plug those points into slope formula and solve-
[tex]s=\frac{y2-y1}{x2-x1}[/tex]
↓
((-10) - 8)/(1 - (-8))
↓
-18/9
↓
slope = -2
- Now we plug the numbers we got into intercept formula -
b = y1 − s ⋅ x1
↓
8 - (-2) · (-8)
↓
y-intercept = -8
- Put everything together and you get.. -
y = -2x - 8
~That's all folks~
-Siascon
[tex]\text{Given that,}\\\\(x_1,y_1) = (-8,8) ~ \text{and}~ (x_2,y_2) = (1,-10)\\\\\text{Slope, m}= \dfrac{y_2- y_1}{x_2-x_1} = \dfrac{-10-8}{1+8} = -\dfrac{18}{9} =-2\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y = m(x-x_1)+y_1\\\\\implies y = -2(x+8) + 8\\\\\implies y = -2x -16 +8\\\\\implies y = -2x -8[/tex]
Ankita height is 135 cm and Nita height is 150 express Ankita height as a percentage of Nita height
Answer: 90%
135/150 * 100
45*2
90
help me on this question. would be nice if you could also graph it as well
Which type of laboratory is not required to have coved floors (where the floor runs continuous for the wall for a few inches)
The type of laboratory that is not required to have coved floors is a BSL2.
Safety in laboratories is measured through the Biosafety Level scale. This scale evaluates how much protection do people working in the laboratory need to avoid any risks while working with pathogens or toxins.
This scale goes from 1 to 4 and the 4 level represents labs in which extremely dangerous pathogens are studied, and therefore labs with the highest safety protocols.
In this context, coved floors are not required for labs classified in Biosafety level 2 because in these labs pathogens have only a moderate risk, therefore some precautions such as the coved floors are not required.
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With words, describe the translation:
(x, y)—(x+2, y-4)
o Move 2 to the left and 4 up
o Move 6 diagonally
o Move 4 left and 2 up
o Move 2 to the right and 4 down
what is the vertex of the porabola
Answer:
what is the vertex of the porabola by nagla 3by 7
Help please due today!
Answer:
36.87 degrees
Step-by-step explanation:
Use the law of sines
sin(90)/70 = sin(x)/42
Multiply each side by 42
42 * sin(90)/70 = sin(x)
use a calculator to get 0.6
Use inverse sin to find angle sin^-1 = 0.6
The angle is approximately 36.87 degrees
Solve please! :) The values of m n k respectively.
Answer:
1,6,2 and 5
Step-by-step explanation:
(2x/5)² . (1x⁴/4)^-1
=(2²x²/5²) . (4/x⁴)
=4x²/25 × 4/x⁴
= 16/25x²