Answer:
B. (2,1)
Step-by-step explanation:
Substitute the first value from the parentheses for x, and the second value for y in the equation.
Calculate.
If the answer is true, the point is a solution on the line.
3(2) -5(1) = 1
6 –5 = 1
1 = 1. True. point B is a solution on the line.
D* for example:
3(2) -5(3) = 1
6 - 15 = 1
–9 = 1 False. This is not a solution on the line.
You get the idea. The others are also false.
write 464000 in correct scientific notation
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
Thor, the god of war, creates a thunderous sound as he rides over the clouds in his chariot. It is a sound equivalent to an earthquake of magnitude 4.6.How much energy does Thor create?Give your answer in scientific notation with at least 3 decimal positions.
The magnitude of the earthquake is related to the released energy E via the equation
\(\log _{10}E=4.4+1.5M\)where M is the magnitude of the earthquake. Given that M is equal to 4.6, the equation can be simplified as:
\(\begin{gathered} \log _{10}E=4.4+1.5(4.6) \\ \log _{10}E=4.4+6.9 \\ \log _{10}E=11.3 \end{gathered}\)We both raise the two sides of the equation by 10 to eliminate the log on the left-hand side and solve, as follows:
\(\begin{gathered} E=10^{11.3} \\ E=1.99526231\times10^{11} \end{gathered}\)Since the question wants us to write the answer in at least 3 decimal points, the final answer would be
\(E=1.995\times10^{11}J\)Answer: The energy Thor created is about 1.995 x 10^11 Joules.
PLEASE HELP ON QUESTION ASAP! 30PTS!
I WILL ALSO GIVE YOU A THANKS RATE YOU FIVE STARS AND MAYBE EVEN BRAINLIEST any silly answeres will be reported / deleted
Hiba needs 40g sugar to make 15 biscuits. she also needs three times as much flour as sugar . Hiba is going to make 60 biscuits . work out the amount of flour she needs .
Maymona book club is ordering new novels, She knows that the total cost of 6 books is $90, and 10 books cost $150. Write an equation in point-slope form form to represent the total cost y of ordering x books.
Answer:
Y=15x
Step-by-step explanation:
Okay so let's approach this problem!X is books and Y is total cost
Let's find the slope!
Y2-Y1/ X2-X1
Just replace
\( \frac{150 - 90}{10 - 6} \)
\( \frac{60}{4} = 15\)
The slope is 15
\(y = 15x + b \)
Now replace x and y with coordinates and solve
\(150 = 15(10) + b \\ 150 = 150 + b \\ - 150 \\ 0 = b\)
The final equation:
y = 15x
That's it! If you have any questions please ask! Brainliest Appreciated.
the length of a rectangle is twice its width. if the perimeter of the rectangle is 54m find its area
Answer:
You can denote the width of the rectangle as x,
than the length of the rectangle will be 2x
and the perimeter of the rectangle will be two length plus two width and it should be equal to 54 in
and the equation will look 2(2x)+2x=54
solving the equation 6x=54, x=9in
So the width of the rectangle is 9in and the length is 9*2=18in
and the area of the rectangle is 9*18=162 sq in.
The graph shows the hourly wage requirement m (in dollars) *
for employees in a state. Which inequality represents
the state's hourly wage requirement. (section 2.2)
7.5
8
m≥ $9.5 per hour
m> $9.5 per hour
m≥ $9.25 per hour
m> $9.25 per hour
8.5
9
9.5 10
1 point
An inequality that represents the state's hourly wage requirement include the following: C. m ≥ $9.25 per hour.
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Assuming the variable m represent the state's hourly wage requirement. Additionally, each interval on the number line represent 0.25 per hour.
Since the shaded circle (dot) is located at point 9.25 and the arrows points or increases to the right, an inequality that represents the state's hourly wage requirement is m ≥ $9.25 per hour.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Find that the radius of curvature of ^2y=x^3-a^3
at the point where the
curves cut the X-axis.
The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).
To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.
When the curve intersects the x-axis, y=0. Therefore, we have:
a⁰ = x³ - a³
x³ = a³
x = a
Next, we need to find the derivative of y with respect to x:
dy/dx = -2x/(3a²√(x³-a³))
At the point where x=a and y=0, we have:
dy/dx = -2a/(3a²√(a³-a³)) = 0
Therefore, the radius of curvature is given by:
R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)
To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:
d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))
At x=a, we have:
d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³
Therefore, the radius of curvature is:
R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)
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After a 90% reduction, you purchase a new soft drink machine on sale for $66. What was the original price of the soft drink machine?
The original price was
GEZER
Answer:
$660.
Step-by-step explanation:
So when we apply a discount to a product we multiply the price of the product (let's all is x) for the percentage of the discount (let's apply 90% as the probnlem says) so then we have the following operation:
x ⋅ (1-0.9) = y
Variable y is the price at which you bought the product, it's $66, on this case. Therefore, this is the expression we have:
x ⋅ (1-0.9) = $66
Now, to get the original value of the product (x), we solve the equation for x:
x ⋅ (1-0.9) = $66
x= $66 / (1-0.9)
x= $66 / (0.1)
x= $660
• Why did we multiply by 1-0.9?
This is because we were looking for the 10% of the original price, since it's a 90% discount. A simple way to solve the problem would've been to just divide the price by 0.1 (10%), because that's what remains after you discount 90% of the price.
-------------------------------------------------------------------------------------------
A different example would be the following:
What was the original price of a product bought for $48 if it has a 60% discount?
x is original price.
Since a 60% discount was applied, 40% of the price remains at full price. Therefore, we multiply the original price (x) by 40%:
x ⋅ 40%= $48
x= $48 / 40%
x= $48 / 0.4
x= 120
$120 was the original price.
Roulette is a casino game that involves players betting on where a ball will land on a spinning wheel. An
American roulette wheel has 38 numbered slots - half of the slots from 1 to 36 are red and the other half are
black. Slots 0 and 00 are both green.
Suppose that a player bets $1 on the color red. If the ball lands in a red slot, the player gets their initial $1 back
plus a payout of $1. If the ball doesn't land in a red slot, they lose their $1 bet. Let X = the player's net gain
from a $1 bet on a the color red. Here is the probability distribution of X:
Win
Lose
X = net gain $1
-$1
18
P(X)
20
38
38
Calculate the mean of X.
You may round your answer to the nearest thousandth.
E(X) =
dollars
Answer: -0.053
Step-by-step explanation:
1•(18/38) + -1 •(20/18) = -0.053
• =multiply or times
I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1
what is the population of A politician is interested in the proportion of voters in his district who think he is doing a good job. Define the following in terms of the study. Give examples where appropriate.
Answer:
lovely peachlings
Step-by-step explanation:
Which of the following equations have complex roots?
Answer:
D
Step-by-step explanation:
Subtracting 2 from both sides and then dividing both sides by 3 gives that x² = -2/3, which indicates the roots are complex.
Need help asap!! What is the circumference of the circle shown?
Answer:
56.5
Step-by-step explanation:
Circumference = \(\pi d\)
C = 3.14(18) = 56.52
Can you help me on question 24?!
Answer:
the answer is c because decreased by means the symbol minus so y decreased by 24 will be y-24
The figure shows three lines that intersect at point N.
3 lines intersect. Lines G K and J M intersect at point N to form a right angle. Line H L intersects the other lines at point N. Angle H N G is 48 degrees.
Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What is the measure of angle MNL?
42°
48°
132°
138°
Answer
The figure shows three lines that intersect at point N.
3 lines intersect. Lines G K and J M intersect at point N to form a right angle. Line H L intersects the other lines at point N. Angle H N G is 48 degrees.
Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What is the measure of angle MNL?
42°
48°
132°
138°
Step-by-step explanation:
42
The required measure of angle MNL is 42°. Option A is correct.
3 lines intersect lines G K and J M intersect at point N to form a right angle. Line H L intersects the other lines at point N. Angle H N G is 48 degrees. Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What is the measure of angle MNL is to determine
The angle can be defined as the one line inclined over another line.
unit of measure of an angle is degree and radians.
Angle GNH is congruent to angle KNL.
∠KNL = 48°
Angle MNL is complementary to angle KNL
Since angle MNK = 90°
∠MNL + ∠KNL = 90°
∠MNL = 90-48
∠MNL = 42°
Thus, the required measure of angle MNL is 42°. Option A is correct.
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Please help! Which choice belongs in space number 3?
Answer:
The Answer is [B]
Step-by-step explanation:
i actually dont have one
Answer:
∠MOP ≅ ∠NOQ
Step-by-step explanation:
Vertical Angle Theorem
When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent.
Therefore:
∠MON ≅ POQ and ∠MOP ≅ ∠NOQ
Swedish researchers concluded that viewing and discussing art soothes the soul and helps relieve medical conditions such as high blood pressure and constipation. This conclusion was based on a study in which 20 elderly women gathered once a week to discuss different works of art. The study also included a control group of 20 elderly women who met once a week to discuss their hobbies and interests. At the end of 4 months, the art discussion group was found to have a more positive attitude, to have lower blood pressure, and to use fewer laxatives than the control group.
Required:
a. Why would it be important to determine if the researchers assigned the women participating in the study at random to one of the two groups?
b. Explain why you think that the researchers included a control group in this study.
Step-by-step explanation:
1. By assigning women at random. It would make these 2 groups comparable abc the result from the research or investigation would be more useful and valid. It is very important that there are two comparable groups.
2. A control group is useful in comparing both groups. It would help us to check if there's really an effect or if there is none. If all women were in in art group then all would likely make improvements and there would be no means of verifying this.
whats 1 to the power pf 10
Answer:
1^10=1
Step-by-step explanation:
1 to the power of ten is equivalent to one times itself ten times- essentially 1*1*1*1*1*1*1*1*1*1. that means the final answer is just 1!
You bought a atv worth $3500 the value depreciates by 10% each year how much will the atv be worth after 5 years
\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3500\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.1\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=3500(1-0.1)^5\implies A=3500(0.9)^5\implies A\approx 2066.72\)
If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
(f + g(x)>3 for all values of x
(f + g)(x)<3 for all values of x
(f + g)(x)>6 for all values of x
(f + g)(x)<6 for all values of x
Answer: for all values of x
Step-by-step explanation:
\((f+g)(x)=|x|+9-6=|x|+3\)
Since the range of y = |x| is \(y \geq 0\), adding 3 to this shifts the graph 3 units up, giving us that \((f+g)(x) \geq 3\) for all values of x.
The scale factor from the original figure to its scaled copy is 3. Draw the scaled copy
Since the scale factor from the original figure to its scaled copy is 3. The diagram of the scaled copy is seen in the image attached (The scaled copy is Y).
What is the scale factor gotten from the original to the scaled copy?In any scaled copy, the sides are said to be made up of some number of times that it is said to be as long as the corresponding sides of its original. We are known to call this number as the scale factor.
Note that the size of the scale factor is one that often influences the size of the copy.
Note also that scale factor if it is 3 implies that the new shape is said to be three times the original size and this can be shown in the image attached.
Hence, Since the scale factor from the original figure to its scaled copy is 3. The diagram of the scaled copy is seen in the image attached (The scaled copy is Y).
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60 POINT QUESTION. Middle school math, ordered pairs.
Answer:
(0,2)
(3,0)
Step-by-step explanation:
Solve the system of equations.
y=x+6
y=x^2 + 8x + 16
Answer:
Step-by-step explanation:
point form: (-2,4) (-5,1)
equation form: x= -2, y=4
x= -5, y=1
\(\huge \underline\frak \red{Answer}\)
\(\small\mathbb\green{(-2;4) \: or \: (-5;1)}\)
\(\small\mathbb\green{y=x+6}\)
\(\small\mathbb\green{y=x²+8x+16}\)
_____________________________________
\(\small\mathbb\green{x+6=x²+8x+16}\)
\(\small\mathbb\green{x²+8x+16-x-6=0}\)
\(\small\mathbb\green{x²+7x+10=0}\)
\(\small\mathbb\green{x²+5x+2x+10=0}\)
\(\small\mathbb\green{x(x+5)+2(x+5)=0}\)
\(\mathbb\green{(x+2) (x+5) = 0}\)
\(\small\mathbb\green{x+2=0 \: ➢ \: x¹ = -2}\)
\(\small\mathbb\green{x+5=0 \: ➢ \: x² = -5}\)
_______________________________________
\(\small\mathbb\green{y¹ = -2+6 \: ➢ \: y¹ = 4}\)
\(\small\mathbb\green{y² = -5+6 \: ➢ \: y² = 1}\)
_______________________________________
\(\small\frak\pink{Hope \: its \: helpful \: to \: you}\)
Julio tiene 12 años de edad y su padre tiene 42 años. ¿Cuántos años tendrá Julio cuando su padre tenga el doble de su edad?
Julio will be 30 years old when his father is twice his age.
To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.
Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.
For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.
Setting up an equation to solve for x:
x + 30 = 2x
Simplifying the equation, we subtract x from both sides:
30 = x
Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.
Therefore, Julio will be 30 years old when his father is twice his age.
Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?
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you can have the points
Solve four and six eighths minus two and three fifths.
(GIVING EXTRA POINTS AND BRAINLIEST ON THIS ONE!! *v*)
A) one and six thirteenths
B) one and three fortieths
C) two and six fortieths
D) two and three thirteens
(Here is an image if needed) :
I'm pretty sure the answer is number 2.
Answer:
b
Step-by-step explanation:
Apply the limit laws to evaluate the ff. limits
Limit's characteristics include its laws. The limit of a function is determined using them. A constant's limit is that very same constant.
How do limitations get assessed?By assessing the function at values close to x=0, we can determine the value of a limit, if one exists. We are unable to immediately determine the value of a function for x=0 since the outcome would be undefined as its denominator would be 0.Limit's characteristics include its laws. The limit of a function is determined using them. A constant's limit is that very same constant.By assessing the function at values close to x=0, we can determine the value of a limit, if one exists. We are unable to immediately determine the value of a function for x=0 since the outcome would be undefined as its denominator would be 0.The complete question is,
Which limitations rules apply?
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-5p = -40 solve for t
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
hey can someone help me find the area of these two pls
Answer:
4) 34.1 ft²
6) 9.9 ft²
Step-by-step explanation:
The formula for the area of a triangle is A = 1/2 × b × h.
Plugging in the givn values, we have the equations: A = 1/2 × 11 × 6.2 and A = 1/2 × 6 × 3.3. Now we can solve.
--------------------------
4) A = 1/2 × 11 × 6.2
5.5 × 6.2 = 34.1 ft²
--------------------------
6) A = 1/2 × 6 × 3.3
3 × 3.3 = 9.9 ft²
hope this helps!
in 2009 Larry's gross pay was $275,800 in that year the maximum taxable for Social Security was 118500 and the Social Security was 62.2%.
Based on the maximum taxable amount for social security in 2009, and the social security tax rate, the social security tax that Larry paid was $7,347.
How much did Larry pay in social security taxes?The total amount paid by Larry as Social security tax can be found as;
= Maximum amount allowable for social security tax x Social security tax rate
The social security tax rate was 6.2% not 62.2%.
The social security tax was therefore:
= 118,500 x 6.2%
= $7,347
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