Answer:
Concept: Vectors
I think the confusion here might be the usage of i and j Just to let you know, i=x and j=y So let's use that fact to conceptualize this 6x^3+4y^2-6x We can simplify by applying a common factor 2(x^3+2y^2-3x) Thats the most we can simplify this1. Ifx- y = 6 and 3x – 10 = 2y, what is the value of y?
I
I
A. -8
B. -4
C.4
D. 8
Answer:
the answer is -8
Step-by-step explanation:
Well, first you have to make an equation for what x equals, if that makes sense. So you take the x-y=6 and add y on both sides to get x=(y+6). Then you plug that.
A car is `160` inches long.
A truck is `7\%` longer than the car.
Answer:
171.2 inches
Step-by-step explanation:
7% is equaled to 0.07 and multiplied by 160 equals 11.2 then I added that to 160 to get 171.2 inches. I hope im correct.
2)
+
-12
6
13
+
5
-2
-3
-9
7
-24
4)
-7
0
+
+
-16
-5
21
-10
-11
-17
+
12
-6
+
2
4
-22
-13
9
15
find the distance between each pair of points (-1 4) (1 -1)
Answer:
[tex]\displaystyle d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, 4)
Point (1, -1)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]\displaystyle d = \sqrt{(1+1)^2+(-1-4)^2}[/tex]Add/Subtract: [tex]\displaystyle d = \sqrt{(2)^2+(-5)^2}[/tex]Exponents: [tex]\displaystyle d = \sqrt{4+25}[/tex]Add: [tex]\displaystyle d = \sqrt{29}[/tex]A department store's survey suggests that 76% of shoppers buy food, 49% buy clothes, and 28% buy both food and
clothes Suppose a shopper is selected from the store at random and learn that they buy clothes. What is the
probability that the shopper also buys food?
027
0.39
0.57
0.64
Answer:
0.57
Step-by-step explanation:
Given that:
food = f ; c = clothes
P(f) = 0.76
P(C) = 0.49
P(fnC) = 0.28
Suppose a shopper is selected from the store at random and learn that they buy clothes. What is the probability that the shopper also buys food?
P(f Given C) = P(f | C)
P(f | c) = p(fnC) / p(C)
P(f | c) = 0.28 / 0.49
P(f | c) = 0.5714
P(f | c) = 0.57
Answer:
.57
guy above me is right
Step-by-step explanation:
Morgan know that 3 gallons of water weigh 25 pounds. How much do 10 gallons weigh?
Answer:
10 Gallons of water will weigh 1.2 pounds.
Step-by-step explanation:
Each gallon weighs 0.12 pounds, I got this answer from dividing 3 by 25 to see how much one gallon weighs. So if we multiply the weight of one gallon by 10, 0.12*10, then we will find out the weight of ten gallons.
I hope this helped you!! You can ask questions any question you may have, if needed, and I will answer them :)
10 Gallons of water will weigh 1.2 pounds.
Here, we have,
given that,
Morgan know that 3 gallons of water weigh 25 pounds.
now, we need to find how much do 10 gallons weigh.
so, we get,
3 gallons of water weigh 25 pounds.
so, to see how much one gallon weighs we divide 3 by 25 .
i.e. 3/25 = 0.12
Each gallon weighs 0.12 pounds,
So if we multiply the weight of one gallon by 10,
i.e. 0.12*10, then we will find out the weight of ten gallons.
so, we get,
10 gallons weigh = 0.12*10 = 1.2 pounds.
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The graph shows the amount of profit in thousands of dollars for a toy each year .A scatter plot of the data is shown below with the line of best fit .
What statement are true related to the line of best fit ? Select all that apply
A.the amount of profit after the first year was around $0.
B.the amount of profit increases about $10,000 each year.
C.the amount of profit decreases about $10,000 each year.
D.the amount of profit after the first year was around $30,000.
E. The amount of profit after 10 years is approximately $120,000.
Answer:
Step-by-step explanation:
We want to confirm which of the given statement is true about the graph.
A) the amount of profit after the first year was around $0
-----------false
From the given graph, the amount of profit after year was far more $0. So the statement above is false.
B) The amount of profit increases about $10,000 each year ------------true
From the line of best fit shown in the graph, the amount of profit increases each year by approximately $10,000.
C) the amount of profit decrease about $10,000 each year ------------ False
From the line of best fit on the graph, we can observe that the amount of profit does not decrease. It rather increases every year.
D) the amount of profit after the first year was around $30,000 ------------true
From the given graph, the amount of profit after the first year is approximately $30,000.
So, the statement is true.
E) the amount of profit after 10 years is approximately $120,000 --------- true
At the year 10 on the graph , the corresponding amount of profit is $120,000.
[3(15+4)^2+2(20+5)^2]^0
Answer:
B
Step-by-step explanation:
any non-zero expression raised to the power of 0 equals 1
Suppose we want to test to see if a roulette wheel is balanced. The wheel is spun 100 time resulting in 58 red outcomes. Is this evidence that the roulette wheel is out of balance
Solution :
Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes
[tex]$ \hat p =\frac{58}{100}$[/tex]
[tex]$ \hat p$[/tex] = 0.58
So we have to test,
[tex]$H_0 : p = 0.5$[/tex]
V/S [tex]$H_a: p \neq 0.5 $[/tex]
The test statistic is
[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]
[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]
[tex]$=\frac{0.08}{0.05}$[/tex]
= 1.600
P value using the z table is 0.110
So P value greater than 0.05
Therefore, there is no evidence that roulette wheel is out of balance.
what is the inverse of the function f(x) = x + 3
Answer:
the answer would be f(x)=x-3
Step-by-step explanation:
Answer:
f inverse of x =x-3
Step-by-step explanation:
f(x)=x +3
let f(x) be y
y=x+3
make x the subject of the formula
x=y-3
hence,
f^-(x)=x-3
3 is 75% os what number?
Answer:
12
Step-by-step explanation:
Answer:
3 is 75% of 4
You can use quarters to help to :)
HELP QUICK PLSSSSS ILL GIVE LOTS OF POINTS
Answer:
B - $41,500
Step-by-step explanation:
After Subtracting his liabilities this is what I got.
Hope this Helps!
:D
Suzy spent $144.00 on 12 pairs of ear rings. How much did she per pair of
ear rings? *
Answer:
12
Step-by-step explanation:
144 divided by 12 is 12
· y-5x = 3 what is the answer to the question
Answer:
-3
Step-by-step explanation:
y-5x = 3
use the commutative property to reorder the terms
-5x + y = 3
change the signs on both sides of the equations
-5x + y = -3
I rlly need help
9-3÷1/3+2=?
Answer:
its 10
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
9-3÷1/3+ 2
9-3/ (1/3)+2
∵3/(1/3)= 9
so,
9-9 +2
0+2= 2
Find the value of y showing your steps or explaining your thinking. (2 pts.)
Answer:
y = 54
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesGeometry
Congruency All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
3(x + 7)° = 63°
3(x + 7)° + 63° + y° = 180°
Step 2: Solve for x
Divide 3 on both sides: x + 7 = 21 Subtract 7 on both sides: x = 14Step 3: Solve for y
Substitute in x: 3(14 + 7) + 63 + y = 180(Parenthesis) Add: 3(21) + 63 + y = 180Multiply: 63 + 63 + y = 180Combine like terms: y + 126 = 180Isolate y: y = 54help plssssssssssssss
Which of the following radical expressions simplifies to 6x^4y^3√2y?
Because of a virus introduced into a bacterial culture, the population of the bacteria decreasedfrom 3000 to 1000 in 50 minutes. Assuming exponential decay, determine how many bacteriawill remain after 2 hours from the beginning of the experiment.(Note: First give an exactanswer, then round it to the nearest integer.)
Answer:
208
Step-by-step explanation:
Given that;
Given that;
y= a(1 - b)^t
Where;
wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
To obtain the constant b,
y= ae^-bt
Substituting values;
1000 = 3000 e^-b(50)
1000/3000 = e^b(50)
0.33 = e^b-(50)
ln (0.33) = ln(e^b(-50))
-1.1 = -50b
b= 1.1/50
b= 0.022
After two hours or 120 minutes;
y= 3000(1 - 0.022)^120
y= 207.8661772
y= 208
A $270 suit is marked down by 20%. Find the sale price
Answer:
Marked down means the price has decreased by 20% so 100%-20%=80%
The suit is now 80% of its original price of 270.
So 270×(80/100)= 216
The selling price of the suit will be equal to $216.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a $270 suit is marked down by 20%. The selling price will be calculated as,
Marked down means the price has decreased by 20%,
100%-20%=80%
The suit is now 80% of its original price of 270.
270×(80/100)= 216
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Write the product in its simplest form:
бу - бу?
Answer:
0
Step-by-step explanation:
This deals with simplification or other simple results.
write a point-slope foem an equation of the line that passes through the given point and has the given slopes (2,-2); m = -5?
a. y -2 = -5(x -2)
b. y+2 = -5(x +2)
c. y -2= -5(x+2)
d. y +2= -5(x -2)
Answer:
y+2 = -5(x-2)
Step-by-step explanation:
The point slope form of a line is
y- y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -2 = -5(x-2)
y+2 = -5(x-2)
30 POINTS AND BRAINLIST TO ANSWER CORRECTLY!!!!!!
Which statement is true of triangles FGH and F’G’H? A. They are congruent because their corresponding angles are congruent. B. They are similar because their corresponding angles are congruent. C. They are similar because their corresponding side lengths are proportional. D. They are not similar because their corresponding side lengths are not proportional
Answer:
4
Step-by-step explanation:
nbjkcxytdfrhmgnj c
what is the measure of E
Answer:
The measure of angle E is:
m∠E = 80°
Step-by-step explanation:
Given
The triangle ΔDEF
It is stated that DE=EF and G is the midpoint of EF.
It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.
Given
m∠GDE = 10°
As the right-angle triangle, ΔDEG lies at the right-angle G.
So, m∠DGE = 90°
as
m∠GDE = 10°
m∠DGE = 90°
m∠E = ?
We know that the sum of angles of a triangle is 180°.
m∠GDE + m∠DGE + m∠E = 180°
10° + 90° + m∠E = 180°
100 + m∠E = 180°
m∠E = 180° - 100
m∠E = 80°
Therefore,
The measure of angle E is: m∠E = 80°
A cheetah runs 195 miles in 3 hours. What is his average speed in miles per hour?
Answer:
65 mph.
Step-by-step explanation:
divide
195/3
65 miles in 1 hour.
Whose statement makes sense ? I say both do. Am I right ??
Answer:
yup ur right
Step-by-step explanation:
5 time 4 is 20
4 times 5 is also 20
write the place value of 1.059 each decimal
Answer:
1 x 1+0 x 1/10+5 x 1/100+9 x 1/1000
Step-by-step explanation:
Help please?!!!!!!!!
Answer:
12x + 3
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
6 + 4(3x - 2) + 5
Step 2: Simplify
Distribute 4: 6 + 12x - 8 + 5Combine like terms (Z): 12x + 3If a right triangle has sides of length 3 and 6, what is the length of the hypotenuse?
Answer:
Length of the hypotenuse = 3√5 units
Step-by-step explanation:
Given:
Right triangle sides
a = 3
b = 6
Find:
Length of the hypotenuse
Computation:
Length of the hypotenuse = √a² + b²
Length of the hypotenuse = √3² + 6²
Length of the hypotenuse = √9 + 36
Length of the hypotenuse = √45
Length of the hypotenuse = 3√5 units
Yoshua borrowed $8,000 from his credit union over 9 months. He pays a simple interest of
9%. What is the total amount of money he will owe the bank?
Answer:
[tex]\boxed{\blue{\sf He\ will \ owe \ \$ 8540 .}}[/tex]
Step-by-step explanation:
According to Question , Yoshua borrowed $8,000 from his credit union over 9 months. He pays a simple interest of 9%. And we are required to find the total amount of money he will owe the bank .
So , we know the formula of Simple Interest as ,
[tex]\qquad\boxed{\red{\bf SI =\dfrac{P\times R\times T}{100}}}[/tex]
As ,per the data in Question ,
Amount = $ 8,000Time = 9 monthsRate of Interst = 9% .[tex]\implies SI = =\dfrac{P\times R\times T}{100} \\\\\implies SI =\dfrac{\$ 8000 \times \dfrac{9}{12}\times 9 }{100} \\\\\implies SI = \dfrac{\$ 8000 \times 9 \times 9 }{12\times 100 }\\\\\boxed{\pink{\bf \implies Simple\: Interst = \$ 540 }}[/tex]
Hence the Simple Interest is $ 540.
And , we know that Amount is ,
[tex]\qquad\boxed{\red{\bf Amount = SI + Principal}}[/tex]
[tex]\implies Amount = Principal + SI \\\\ \implies Amount = \$ 8000 + \$ 540 \\\\\boxed{\orange{\bf \implies Amount= \$ 8540 }}[/tex]
Hence he will owe $ 85400.