Answer:
y - 7 = -1/4(x-4)
Step-by-step explanation:
point slope is y-y₁=m(x-x₁)
(4, 7) and (8, 6)
I like to put it in the slope-intercept form first
so... 6 - 7/ 8-4 = -1/4 (slope)
6 = -1/4(8) + b
6/(-2) = -2/(-2) + b
-3 = b
so... y=-1/4x + -3
plug it in to point slope form
y - 7 = -1/4(x-4)
hopefully that made sense :)
Please help, I would really appreciate it.
Answer:
yass
Step-by-step explanation: 5+1 = 6 <3 i need points-
Alice is willing to spend $30 on a pair of jeans, and has a coupon for $10 off she found online. She selects and purchases a $35 pair of jeans, pre-discount. Jeff finds some steaks for $16 for which he would have been willing to pay $20. The butcher notices the meat is near the expiration Jeffs surplus: date and gives him an extra 75% off.
Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.
Let's calculate the final amount paid by Alice and Jeff for their purchases.
Alice:
Alice has a budget of $30 for a pair of jeans, and a coupon for $10 off.The price of the jeans she selects is $35 before the coupon.To find the final price she paid, we need to subtract the coupon discount from the original price of the jeans: $35 - $10 = $25.So Alice paid $25 for her pair of jeans.Jeff:
Jeff finds a pack of steaks for $16 and is willing to pay up to $20.This means he has a surplus of $20 - $16 = $4 that he is willing to spend on the steaks.The butcher notices the meat is near the expiration date and gives Jeff an extra 75% off.To calculate the discount, we first need to find 75% of the original price: 0.75 * $16 = $12.So Jeff gets a discount of $12, and the final price he paid is the original price minus the discount: $16 - $12 = $4.Therefore, Jeff paid $4 for the steaks.So, Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.
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What is 17x> -17 solve for x
Answer:
Step-by-step explanation:
17x > -17
x > -1
please help me it takes do long to do this please
Answer:
Step-by-step explanation:
a. (I) x = 65
(ii) vertically opposite angles are equal.
b. (i) 71 degrees
(ii) alternate interior angles are equal
c. (i) z = 180 - 71 = 109 degrees
(ii) angles on a line add up to 180 degrees
Hope this helpsAnswer:
x = 65°, y = 71°, z = 44°
Step-by-step explanation:
x and 65 are vertical angles and congruent, thus
x = 65°
y and 71 are alternate angles and congruent, thus
y = 71°
The sum of the 3 angles in a triangle = 180°, thus
z = 180° - (65 + 71)° = 180° - 136° = 44°
Hence
x = 65°, y = 71° and z = 44°
Please help!
4. Evaluate | –2 | = ?
Answer:
that would equal 2 I hope this helps you
For what values of x: Is the binomial 7x+1 equal to the trinomial 3x2−2x+1?
Answer:
x = 0 , x = 3
Step-by-step explanation:
Equate the 2 expressions and solve for x
3x² - 2x + 1 = 7x + 1 ( subtract 7x + 1 from both sides )
3x² - 9x = 0 ← factor out 3x from each term
3x(x - 3) = 0
Equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 3 = 0 ⇒ x = 3
AGAIN HELP!!!!!!!!!!!!!!!STILL TRYING TO TEACH MYSELF LOL
Please help ASAP it’s all I ask for to help me. It’s supposed to be turned in tomorrow. Please help.
Answer:
you would need to find the price before tax of the game. (B)
Answer:
V= video game $
.50V=.75
Now divide,
.75 divided by .05=15= V
So the video game wquals $15.
Now Check your answer
15 times (x) .05= .75
There you go :)
Step-by-step explanation:
a woman whose mother is colorblind and whose father has hemophilia a is pregnant with a boy. what is the probability that her son will have normal vision and normal blood clotting? enter as a probability value between 0 and 1.
The required probability of the son with normal vision is 0.50 and for the normal blood clotting is 0.
If mutations is present on one of the X chromosome then it is capable of developing the condition which is called X-linked disorder.Generally men are affected by this disorder because they carry one copy of the X chromosome.If women carry one copy of the chromosome, then it is consider that they are carriers of disease and if they have both the copies affected then they are affected by disorder.Colorblind woman with a normal man is in position to produce 2 carrier females and 2 males colorblind.In the condition of a carrier woman with colorblindness marries a hemophilic man, progeny mentioned below phenotypes are produced:Parent phenotype Carrier woman
Affected man (Hemophilic) (colorblindness)
Parents X^h Y XX^C
Gametes X^h, Y X, X^C
Progeny X X^h X^C X^h X^C Y, XY
Total outcome = 100
Favourable outcomes for a son with normal vision is= 50
Probability of a son with normal vision = 50/100
= 0.50
probability of a son with normal blood clotting = 0 / 100
= 0
Therefore, the probability of the son with normal vision and normal blood clotting is 0.50 and 0 respectively.
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pls help I'm so confused X+8 What is the solution of 5x-1 > O? O x5-8 or X> 5 1 0x 5 x8 1 0 -85 0 -8 < X < 7
Step-by-step explanation:
(x + 8) / (5x - 1) > 0
Multiply both sides by (5x - 1)², which is always positive for all real values of x in the domain.
(x ≠ 1/5)
=> (x + 8)(5x - 1) > 0
=> x < -8 or x > 1/5.
The answer is the 2nd option.
an individual was making blankets for some friends. the individual used 7.2 feet of fabric to make one blanket. how many feet of fabric will the individual need to make 11 blankets (round to the nearest whole number)?
The number of feet of fabric will the individual need to make 11 blankets is 79.2 feet
To find out how many feet of fabric the individual will need to make 11 blankets, we can use the unitary method.
We know that the individual used 7.2 feet of fabric to make one blanket. So, to find out how much fabric is needed to make 11 blankets, we can set up a proportion
7.2 feet of fabric is needed for 1 blanket
x feet of fabric is needed for 11 blankets
We can solve for x by cross-multiplying and then dividing
7.2 × 11 = x
x = 79.2 feet
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Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x?
A. Subtract 1 from both sides to combine like terms
B. Add 4x to both sides to isolate the variable
C. Distribute the 6 to eliminate the parentheses
D. Combine 4x and -5 to simplify the problem
Answer:
C.
Step-by-step explanation:
c is the only one that even makes sense
C. Distribute 6 to eliminate the parentheses.
What are some rules to solve an equation ?To solve an equation we follow BODMAS rule which stands for first solving which are inside brackets then we divide terms to each other if division is given.Then we multiply terms if multiplication is given.Next step we add terms if given.In last we do subtraction if it is in the given expression.If any of these operations are not given we just skip and do the next operation according to the BODMAS rule.
According to the given question
Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5.
6( 2x + 1 ) - 3 = 4x - 5
12x + 6 - 3 = 4x - 5
12x + 3 = 4x - 5
12x - 4x = - 5 - 3
8x = - 8
x = -8/8
x = -1
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solve cos^2x = (power reducing formula)
\(cos^2(x) = cos^2(x)\).
This equation is true for all values of x, so the solution is:
x ∈ ℝ (x is any real number).
To solve the equation\(cos^2(x)\)= (power reducing formula),
we need to replace \(cos^2(x)\) with the power reducing formula.
The power reducing formula for \(cos^2(x)\) is:
\(cos^2(x) = (1 + cos(2x)) / 2\)
Now, let's solve the equation:
\((1 + cos(2x)) / 2 = cos^2(x)\)
We want to find x when this equation is true.
Since the left side is the power reducing formula for \(cos^2(x)\),
we can simply write:
\(cos^2(x) = cos^2(x)\).
The power reducing formula is a trigonometric identity that allows you to express a trigonometric function of a higher power in terms of a trigonometric function of a lower power.
It is most commonly used for reducing the power of the sine and cosine functions.
The power reducing formula for cosine is:
\(cos^2(x) = (1 + cos(2x))/2\)
The power reducing formula for sine is:
\(sin^2(x) = (1 - cos(2x))/2\)
These formulas can be derived using the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1.\)
By solving for either \(sin^2(x) or cos^2(x)\) in terms of the other, and then using the double angle formula for cosine \((cos(2x) = cos^2(x) - sin^2(x)),\)we can arrive at the power reducing formulas.
The power reducing formulas can be used to simplify trigonometric expressions and make them easier to work with.
For example, if you have an expression such as \(sin^4(x)\), you can use the power reducing formula for sine to express \(sin^4(x)\) in terms of \(sin^2(x),\)and then use the power reducing formula for cosine to express \(sin^2(x)\)in terms of cos(2x).
This can make the expression simpler and easier to integrate or differentiate.
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Assume that a procedure yields a binomial distribution with n=8 trials and a probability of
success of p=0.30.
a) Use the binomial formula to find the probability that the number of successes x is exactly 2.
The probability that the number of successes x is exactly 2 is 0.3241.
To find the probability that the number of successes x is exactly 2 using the binomial formula, we use the formula:
P(x = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the number of trials, p is the probability of success, and k is the number of successes.
Substituting n=8, p=0.30, and k=2 into the formula, we get:
P(x = 2) = (8 choose 2) * 0.30^2 * (1-0.30)^(8-2)
= 28 * 0.09 * 0.4783
= 0.3241
Therefore, the probability that the number of successes x is exactly 2 is 0.3241.
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Factorise x squared-x
Answer:
x^2 - x
=
x(x-1)
Step-by-step explanation:
Question 1 The plane X = 2 is a) parallel to the yz-plane b) parallel to the xz-plane c) parallel to the xy-plane d) none of the above e) NO RESPONSE Question 3 Given unit vectors i, j and k, 2 * 3k= x O a)-5i | Ob b) 5i C) -61 O d) bi 6i e) NO RESPONSE Question 4 If Car A is travelling north at 50 km/h and Car B is travelling south at 60 km/h, the velocity of Car A relative to Car B is a) 110 km/h north Ob) 10 km/h north c) 110 km/h south d) 10 km/h south e)
The options provided in the question do not include a negative sign, so the closest answer is 10 km/h south, which is option (d).
In question 1, the plane X = 2 is parallel to the yz-plane. In question 3, the expression 2 * 3k simplifies to 6k. In question 4, the velocity of Car A relative to Car B is 110 km/h north.
1. The equation X = 2 represents a plane that is parallel to the yz-plane. This is because the equation only involves the x-coordinate, meaning that the value of x is fixed at 2 while the y and z coordinates can vary freely.
3. Given the unit vectors i, j, and k, the expression 2 * 3k simplifies to 6k. Since k is a unit vector representing the direction along the z-axis, multiplying it by 3 scales its magnitude by 3, resulting in a vector 6 times the magnitude of k but with the same direction.
4. When Car A is traveling north at 50 km/h and Car B is traveling south at 60 km/h, the velocity of Car A relative to Car B is determined by subtracting the velocity of Car B from the velocity of Car A. Since the velocities are in opposite directions, we subtract the magnitudes, resulting in 50 km/h - 60 km/h = -10 km/h.
The negative sign indicates that the velocity is in the opposite direction to Car B's motion, so the velocity of Car A relative to Car B is 10 km/h south. However, the options provided in the question do not include a negative sign, so the closest answer is 10 km/h south, which is option (d).
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Marcellus is making a deposit that will leave him with a balance of $381. He noticed that if he added $54 to the amount he started with in his account and then tripled the sum, he would get the new amount. How much did Marcellus originally have in his account? Which equation represents the situation?
Answer:
Step-by-step explanation:
Let the initial money deposited in the account be x:
If he added $54 to the amount he started with in his account, the expression will become:
x+54
If the sum is tripled, we will have:
3(x+54)
Since the balance an-mount is $381, the final equation will give:
3(x+54) = 381
The equation that represents the situation is 3(x+54) = 381
Next is to calculate x:
3(x+54) = 381
open the parenthesis
3x+162 = 381
3x = 381 - 162
3x = 219
x = 219/3
x = 73
Hence the original amount in his account is $73
The value of stock changes from $22 on Monday to $30 on Tuesday. Calculate the percent increase.
22 + 22 x r = 30
22 x r = 30 - 22
r = 8 : 22
r = +36,36%
r = increase rate
Para que sirven los modelos matemáticos?
Answer:
Un modelo matemático es una representación simplificada, a través de ecuaciones, funciones o fórmulas matemáticas
Step-by-step explanation:
What is the mode of this data set?
{2, 2, 3, 3, 4, 4, 4, 4}
Enter your answer in the box
Simplify and state the restrictions.
Answer:
Simplified expression: \(\frac{ -20m - 26}{(2m+1)(2m-5)(2m+5)}\)
Restrictions: \(m \neq -0.5, m \neq 2.5, m \neq -2.5\)
Step-by-step explanation:
The expression is:
\(\frac{2m-1}{4m^2-25} - \frac{2m+5}{4m^2-8m-5}\)
We can simplify the denominator of the first fraction:
\(\frac{2m-1}{(2m+5)(2m-5)} - \frac{2m+5}{4m^2-8m-5}\)
Then we can simplify the denominator of the second fraction:
\(\frac{2m-1}{(2m+5)(2m-5)} - \frac{2m+5}{(2m+1)(2m-5)}\)
The least common multiple of the denominators is \((2m+1)(2m-5)(2m+5)\), therefore we have:
\(\frac{(2m-1)(2m+1)}{(2m+1)(2m-5)(2m+5)} - \frac{(2m+5)^2}{(2m+1)(2m-5)(2m+5)}\)
\(\frac{4m^2-1}{(2m+1)(2m-5)(2m+5)} - \frac{4m^2+20m+25}{(2m+1)(2m-5)(2m+5)}\)
\(\frac{4m^2-1 - 4m^2 - 20m - 25}{(2m+1)(2m-5)(2m+5)}\)
\(\frac{ -20m - 26}{(2m+1)(2m-5)(2m+5)}\)
The simplified expression is:
\(\frac{ -20m - 26}{(2m+1)(2m-5)(2m+5)}\)
The restrictions are the values of m that makes the denominator zero, so we calculate them using a 'not equal' sign:
\((2m+1) \neq 0 \rightarrow m \neq -0.5\)
\((2m-5) \neq 0 \rightarrow m \neq 2.5\)
\((2m+5) \neq 0 \rightarrow m \neq -2.5\)
[amc10b.2011.7] the sum of two angles of a triangle is $\frac{6}{5}$ of a right angle, and one of these two angles is $30^{\circ}$ larger than the other. what is the degree measure of the largest angle in the triangle?
The degree measure of the largest angle is 72° in the triangle.
We have, The sum of two angles of a triangle is 6/5 of a right angle.
One of these two angles is 30° larger than the other.
Let A and B be the two angles of the triangle such that A = B + 30°.
We know that the sum of three angles in a triangle is 180°.
⇒ A + B + C = 180°
⇒ B + 30° + B + C = 180°
⇒ 2B + C = 150°
We also know that the sum of two angles of a triangle is 6/5 of a right angle.
⇒ A + B = 6/5 × 90°
⇒ B + 30° + B = 108°
⇒ 2B = 78°
⇒ B = 39°
C = 150° - 2B ⇒ 72°
A = B + 30° ⇒ 39° + 30° ⇒ 69°
Therefore, the degree measure of the largest angle in the triangle is 72°.
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A map has a scale of 2 centimeters = 4 miles. Mary's drive to work is represented on the map as traveling 1cm north then 2.5 cm west. Which equation could be used to determine how many miles Mary drives to work?
How many millilitres are there in an olympic suze pool that holds 2.5 ml of water
There are approximately 8.36 × \(10^25\) water molecules in 2.5 million liters of water.
To find the number of moles of water in 2.5 million liters, we need to convert the volume to grams and then to moles using the given density and molecular mass.
Given:
Volume of water = 2.5 million liters
Density of water = 1 g/mL
Molecular mass of water = 18 g/mol
First, let's convert the volume from liters to grams using the density of water:
2.5 million liters * 1 g/mL = 2.5 million grams
Next, we can convert grams to moles using the molecular mass of water:
2.5 million grams / 18 g/mol ≈ 138,889 moles
Therefore, there are approximately 138,889 moles of water in 2.5 million liters.
To find the number of water molecules, we can use Avogadro's number, which states that there are approximately 6.022 × \(10^23\) molecules in one mole of a substance.
Number of water molecules = Number of moles * Avogadro's number
Number of water molecules ≈ 138,889 moles * 6.022 × 10^23 molecules/mole
Calculating this, we get:
Number of water molecules ≈ 8.36 ×\(10^25\) molecules
Therefore, there are approximately 8.36 × \(10^25\)water molecules in 2.5 million liters of water.
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An Olympic-sized swimming pool holds 2.5 million liters of water. How many moles of water is this? How many water molecules? Some potentially useful facts: 2.5 million = 2.5×\(10^6\).
The density of water is 1 g/mL. The molecular mass of water is 18 g/mol.
Find the area for all of these numbers
Answer:
The Answer is 29cm
Step-by-step explanation:
The area of this shape is made from two shapes.
Shape one is a rectangle with the dimensions 2cm by 4cm
2x4 = 8
So the area of rectangle 1 is 8
The other rectangle has the dimensions 4cm by 7cm
Because you have to account for the other triangle not being there (solved)
4x7 = 21
21+8
29cm
pls help me understand
Answer:
total Change mean how much you change it. For example, If you have 2 dollor you give your mom 1 dollor, then what is your total Change now? 2-1=1 your total Change would be 1
Hope this helps.
why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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How many 2 1/7 inch pieces of thread can be
cut from a spool with 8 3/4 inches of thread?
A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.
How many pieces of thread can be cut ?In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)
Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be
calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.
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Find the accumulated present value of an investment for which there isa perpetual continous money flow of $3200 per year at an interest rate of 6%, compounded continuously.The accumulated present value is $_______________.
Therefore, the accumulated present value of an investment is $53,333.33.
Given,
Money flow of $3200 per year.
Interest rate of 6%Compounded continuously.
To find,
The accumulated present value formula to calculate the accumulated present value of an investment in continuous compounding is given by;
A = (C / r)
Where, A = Accumulated present value of an investment
C = Continuous payment
R= Continuous interest rate
Substitute the given values in the above formula;
A = (3200 / 0.06)
= 53333.33
Therefore, the accumulated present value of an investment is $53,333.33.
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What is the equation of the line that passes through the point (-7, -7) and
has a slope of 1?
Answer:
\(y=x\)
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axisy and x stay as they are while m and b are replaced with numerical values1) Determine the slope (m)
\(y=mx+b\)
We're given that the slope of the line is 1. Plug this into the above equation
\(y=1x+b\\y=x+b\)
2) Determine the y-intercept (b)
\(y=x+b\)
Plug in the given point (-7,-7)
\(-7=-7+b\)
Add 7 to both sides to isolate b
\(-7+7=-7+b+7\\0=b\)
Therefore, the y-intercept is 0. Plug this back into \(y=x+b\)
\(y=x+0\\y=x\)
I hope this helps!