Answer:
48 minutes
30/5 = 6
6 x 8 = 48
Answer: 48
Step-by-step explanation:
if Tyreke can solve:
5 problems in 8 minutes
30 problems in ? minutes
(30*8)/5=48
What is the point of factoring
Factoring is an important process that helps us understand more about our equations. Through factoring, we rewrite our polynomials in a simpler form, and when we apply the principles of factoring to equations, we yield a lot of useful information. There are a lot of different factoring techniques.
Simplify 8 over negative 4 ÷ negative 3 over 9 . (5 points)
Answer:
6
Step-by-step explanation:
[tex]-\frac84 divided-\frac39\\-2 divided- \frac13\\-2 \cdot -3\\6[/tex]
Let [tex]\alpha[/tex] be positive real number.
Let f:[tex]\mathbb{R}\to\mathbb{R}[/tex] and g:[tex](\alpha,\infty)\to\mathbb {R}[/tex] be the function defined by
[tex] \rm f(x) = \sin \bigg( \dfrac{\pi x}{12} \bigg ) \: and \: g(x) = \dfrac{2 log_{e}( \sqrt{x} - \sqrt{ \alpha } ) }{ log_{e}( {e}^{ \sqrt{x} } - {e}^{ \sqrt{ \alpha } } ) } [/tex]
Then the value of [tex] \rm \lim_{x \to { \alpha }^ + } f(g(x)) \\ [/tex] is
First, [tex]f(x)[/tex] is continuous on its domain, so
[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = f\left(\lim_{x\to\alpha^+} g(x)\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(\frac\pi6 \lim_{x\to\alpha^+} \frac{\ln\left(\sqrt x - \sqrt\alpha\right)}{\ln\left(e^{\sqrt x} - e^{\sqrt\alpha}\right)}\right)[/tex]
As [tex]x\to\alpha^+[/tex], [tex]\sqrt x-\sqrt\alpha\to0[/tex] and [tex]e^{\sqrt x}-e^{\sqrt\alpha}\to0[/tex], so overall we have an indeterminate form ∞/∞. Apply l'Hôpital's rule and simplify.
[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(\frac\pi6 \lim_{x\to\alpha^+} \frac{\frac1{2\sqrt x\left(\sqrt x - \sqrt\alpha\right)}}{\frac{e^{\sqrt x}}{2\sqrt x\left(e^{\sqrt x} - e^{\sqrt\alpha}\right)}}\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(-\frac\pi6 \lim_{x\to\alpha^+} \frac{e^{-(\sqrt x-\sqrt\alpha)} - 1}{\sqrt x - \sqrt\alpha}\right)[/tex]
Substitute [tex]y=\sqrt x-\sqrt\alpha[/tex], so that [tex]x\to\alpha^+\implies y\to0^+[/tex].
[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(-\frac\pi6 \lim_{y\to0^+} \frac{e^{-y} - 1}y\right)[/tex]
The remaining limit is the right-derivative of [tex]e^{-y}[/tex] at [tex]y=0[/tex], so
[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(-\frac\pi6\frac{de^{-y}}{dy}\bigg|_{y\to0^+}\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(\frac\pi6\right) = \boxed{\frac12}[/tex]
7th grade math help me please :))
Answer:
no because the absolute value of -7 is 7 which is greater than the absolute value of 6 which is 6.
Use the figure and follow the directions below.
Write the equation of each graph. Will give Brainliest to correct answer!
Answer:
a. [tex]y = -(x+1)^2+4[/tex]
b. [tex]y = \frac{1}{2} (x-2)^2-3[/tex]
Step-by-step explanation:
a. Vertex is (-1, 4)
so you get
[tex]y = a(x+1)^2+4[/tex]
plug in (1, 0) and get the a value
[tex]0 = a(1+1)^2+4\\0 = a*2^2 + 4\\0 = 4a + 4\\-4 = 4a\\a = -1[/tex]
final eq:
[tex]y = -(x+1)^2+4[/tex]
b. Vertex is (2, -3)
so you get
[tex]y = a(x-2)^2-3[/tex]
plug in (0, -1) and get the a value
[tex]-1 = a(0-2)^2-3\\-1 = a*(-2)^2 -3\\-1 = 4a -3\\2 = 4a\\a = \frac{1}{2}[/tex]
final eq:
[tex]y = \frac{1}{2} (x-2)^2-3[/tex]
plz help what is the square root of pi
Answer:
Approximately 1.77
To solve it I used a scientific calculator
Answer:The square root of Pi is approximately 1.77245.
Step-by-step explanation:
i hope i got it rigth ....
A recipe for punch uses 2 cups of grape
juice and 3 cups of orange juice. How many
cups of orange juice are needed if 6 cups of
grape juice are used?
A 7 cups
B 9 cups
C 15 cups
D 30 cups
Answer:
B 9 cups
Step-by-step explanation:
Grape juice to orange juice ratio is 2:3, for every 2 cups of grape juice 3 cups of orange juice are used.
6/2=3
3 x 3 =9
for every 6 cups of grape juice, 9 cups of orange juice are used
Check for answer by seeing if the ratio matches up.
6:9 simplified is 2:3.
Answer is correct.
Solve the system
4x+5x= -27
x+9y= 1
Answer:
x=-3, y = 4/9
Step-by-step explanation:
This is in equation form.
A farm has 216 apple trees. The trees were evenly across 8 rows. How many apple trees are there in each row
Answer:
27 in each row
Step-by-step explanation:
216/8=27
Answer:
27 Apple Trees in each row
Step-by-step explanation:
216 divided by 8 gives us 27
The equation is 216/8=27
During a 7-year period, the amounts (in millions of dollars) spent each year on buying new vehicles N and used vehicles U by United States residents are modeled by the equations
N=−0.028t3+0.06t2+0.1t+17
U=−0.38t2+1.5t+42
where t=1 represents the first year in the 7-year period.
a. Write a polynomial that represents the total amount spent each year on buying new and used vehicles in the 7-year period.
b. How much is spent on buying new and used vehicles in the fifth year?
$ ???
Using addition of polynomials, it is found that:
a) The total amount is: T(t) = -0.028t³ - 0.32t² + 1.6t + 59.
b) $55.5 million was spent on buying new and used vehicles in the fifth year.
How do we add polynomials?To add polynomials, we have to combine the like terms, that is, the terms that have t elevated to the same power.
For this problem, the functions are given as follows:
N(t) = -0.028t³ + 0.06t² + 0.1t + 17.U(t) = -0.38t² + 1.5t + 42.Hence the total amount is:
T(t) = N(t) + U(t)
T(t) = -0.028t³ + 0.06t² + 0.1t + 17 - 0.38t² + 1.5t + 42.
T(t) = -0.028t³ + (0.06 - 0.38)t² + (0.1 + 1.5)t + 17 + 42.
T(t) = -0.028t³ - 0.32t² + 1.6t + 59.
For the 5th year, the amount is given by:
T(5) = -0.028(5)³ - 0.32(5)² + 1.6(5) + 59 = 55.5.
$55.5 million was spent on buying new and used vehicles in the fifth year.
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A builder can buy 6 sheets of plywood for $33. At that rate, how much would 14 sheets of plywood cost?
Answer: 77 dollars
Step-by-step explanation:
6 sheets = 33 dollars
14 sheets = {(33/6)*14} = 77 dollars
Petro was given this system of equations. Negative 14 x minus 2 y = 24. 14 x + 8 y = negative 12. Petro’s work is shown in the table. Where, if anywhere, did Petro first make a mistake? Steps Petro’s Work Step 1 Negative 14 x minus 2 y = 24. 14 x + 8 y = negative 12. 6 y = 12. Step 2 6 y = 12. y = 2. Step 3 Negative 14 (2) minus 2 y = 24. Negative 28 minus 2 y = 24. Negative 2 y = 52. y = negative 26.
step 1
step 2
step 3
no mistake
Answer:
C Step 3
Step-by-step explanation:
Answer:
C: Step 3 is where the mistake was made
Step-by-step explanation:
Let [tex]R[/tex] be the region bounded between the parabola [tex]y=4x-x^2[/tex] and the x-axis. Find [tex]m[/tex] so that the line [tex]y=mx[/tex] divides [tex]R[/tex] into two pieces of equal area.
First, we observe that
[tex]4x-x^2 = x(4-x) = 0 \implies x=0 \text{ or } x = 4[/tex]
and
[tex]4x-x^2 = 4-(x-2)^2 \le 4[/tex]
so that [tex]R[/tex] is in the first quadrant. Any line [tex]y=mx[/tex] that slices this region into two pieces must then have a slope between [tex]m=0[/tex] and [tex]m=4[/tex] (which is the slope of the tangent line to the curve through the origin).
The parabola and line meet at the origin, and again when
[tex]4x - x^2 = mx \\\\ ~~~~ \implies x^2 + (m-4)x = x (x + m - 4) = 0 \\\\ ~~~~\implies x = 4-m[/tex]
with [tex]4x-x^2\ge mx[/tex] for [tex]0\le x\le4-m[/tex].
Now, the total area of [tex]R[/tex] is
[tex]\displaystyle \int_0^4 (4x-x^2) \, dx = \left(2x^2 - \frac{x^3}3\right)\bigg|_0^4 = \frac{32}3[/tex]
so that half the area is 16/3.
The area of the left piece (containing the origin) is
[tex]\displaystyle \int_0^{4-m} ((4x-x^2) - mx) \, dx = \left(\frac{4-m}2 x^2- \frac{x^3}3\right)\bigg|_0^{4-m} = \frac{(4-m)^3}6[/tex]
Solve for [tex]m[/tex].
[tex]\dfrac{(4-m)^3}6 = \dfrac{16}3[/tex]
[tex](4-m)^3 = 32[/tex]
[tex]4 - m = \sqrt[3]{32} = 2\sqrt[3]{4}[/tex]
[tex]\boxed{m = 4 - 2\sqrt[3]{4} \approx 0.825}[/tex]
Jenna❤️Jenna❤️❤️L’s recipe calls for 1/2 cup of flour she only has 1/4 cup measure which equivalent fraction shows the amount of flowers she could use for the recipe
Answer:
1/2 divided by 1/4
Step-by-step explanation:
so 2
hope this helps :)
Geometry. PLS help asap 20 points
Answer:
you need to prove AB=AD
Step-by-step explanation:
5. Solve the equation z^2 + 4z - 9 = 0 by completing the square.
A. Z = 2 + N13
B. Z= 4 + 113
C. Z=-2 + V13
D. z = -4 + 13
Answer:
A. Z = 2 + N13
Step-by-step explanation:
Let's solve your equation step-by-step.
0=z2+4z−9
Step 1: Subtract z^2+4z-9 from both sides.
0−(z2+4z−9)=z2+4z−9−(z2+4z−9)
−z2−4z+9=0
For this equation: a=-1, b=-4, c=9
−1z2+−4z+9=0
Step 2: Use quadratic formula with a=-1, b=-4, c=9.
z=
−b±√b2−4ac
2a
z=
−(−4)±√(−4)2−4(−1)(9)
2(−1)
z=
4±√52
−2
z=−2−√13 or z=−2+√13
Let X denote the number of cousins of a randomly selected student. Explain the difference between StartSet Upper X equals 2 EndSet and Upper P (Upper X equals 2 ).
A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.
B. (X =4) is the frequency that a student has four cousins, P(X-4) is the relative frequency that a student has for cousins.
C. (X =4) is the probability of the event that the student has four cousins, P-4) is the event that the student has four cousins.
D. (X =4) is the relative frequency that a student has four cousins; P(X 4) is the frequency that a student has four cousins.
Answer:
A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.
Step-by-step explanation:
An event is an individual outcome or any number of outcomes of a random experiment or trial. An even that contains only one sample point is called a simple event. A compound event contains more than 1 sample point and is formed by the union of simple points.
An event A is said to occur only and if only the outcome of the experiment corresponds to some element of A.
In the given question the first symbolic representation gives an event and the second symbolic representation gives the probability.
The probability of X = 2 or 4 is given by P (X=2) or P (X=4) symbollically.
So A is the best choice.
The relative frequency gives the probability so choice B,C and D are wrong.
help me please with this math problem [(7 + 3) • 5 – 4] ÷ 2 + 2
Answer:
[(7+3).5-4]/2+2
[46]/2+2
23+2
25
Answer: 25
Step-by-step explanation:
Follow the order of operations: PEMDAS
[(7+3) * 5-4] / 2+ 2
[10*5-4]/2+2
[50-4]/2+2
46/2+2
23+2
= 25
2x^2 - 3x - 2 = X + 4
The equation is represented by the system shown
here.
Check all of the solutions to this equation
-1, 3, 7, (-1, 3), (3, 7)
Answer:-1 and 3
Step-by-step explanation:
Took it on edge :)
The required solution of the given equation is (3, -1) which is the correct option (C).
What is a quadratic function?The quadratic function is defined as a function containing the highest power of a variable is two.
The equation is below represented by the system shown here.
2x² - 3x - 2 = x + 4
Rearrange the terms of variables and constants in the above equation
2x² - 3x - 2 - x - 4 = 0
Apply the arithmetic operation in the likewise terms,
2x² - 4x - 6 = 0
2x² - 6x + 2x - 6 = 0
2x(x - 3) + 2(x - 3) = 0
(x - 3)(2x + 2) = 0
(x - 3) = 0 and (2x + 2) = 0
x = 3 and 2x = - 2
x = 3 and x = - 1
Therefore, the required solution of the given equation is (3, -1).
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Explain two attributes that a rectangle and a square have in common.
Answer:
All angles and opposite angle are equal;opposite sides are parallel.
Step-by-step explanation:
Answer:
they both have 4 sides and they both have paralell sides.
Step-by-step explanation:
How do I use the Descartes Rule of Signs to determine all possible number of positive and negative zeros?
f(x)= x^4-2x^3-4x^2+2x+3
Answer:
We conclude that:
2 or 0 positive real roots2 or 0 negative real rootsStep-by-step explanation:
Descartes Rule states that if the terms of a single-variable polynomial with real coefficients are ordered by descending variable exponent, then the number of positive roots of the polynomial is:
Either equal to the number of sign differences between consecutive nonzero coefficients, Or is less than it by an even number.Given the function
[tex]f\left(x\right)=x^4-2x^3-4x^2+2x+3[/tex]
So, the coefficients are 1, −2, −4, 2, 3
As can be seen, there are 2 changes.
This means that there are 2 or 0 positive real roots.
To find the number of negative real roots, substitute x with -x in the given polynomial:
[tex]x^4-2x^3-4x^2+2x+3[/tex] becomes [tex]x^4+2x^3-4x^2-2x+3[/tex]
The coefficients are 1, 2, −4, −2, 3
As can be seen, there are 2 changes.
This means that there are 2 or 0 negative real roots.
Therefore, we conclude that:
2 or 0 positive real roots2 or 0 negative real rootsHELP the bag of letter tiles include 15 vowels and 25 consonants. What is the probability of selecting two vowels one after another? NEED HELP ASAP
Answer:
Step-by-step explanation:
15 vowels plus 25 consonants is 40
so 15/40 then you take the one vowel out and there is 39 so then it is 14 over 39.
A phone company has two long distance
calling plans. The first plan is $25 per month
for unlimited long distance calling. The second
plan is $10 per month plus $0.05 per minute
of long distance calling. After how many
minutes oflong distance calls will it be cheaper
for a customer to purchase the first plan?
It is cheaper for a customer to purchase the first plan if they make more than 300 minutes of long-distance calls. The answer is (C) 300.
Let's denote the number of minutes of long-distance calls as x. Then, the total cost of the second plan would be:
Cost of Plan 2 = $10 + $0.05x
The total cost of the first plan is always $25, regardless of the number of minutes of long-distance calls.
So we need to find the value of x at which the cost of Plan 2 exceeds the cost of Plan 1, i.e. when:
$10 + $0.05x = $25
Subtracting $10 from both sides, we get:
$0.05x = $15
Dividing both sides by $0.05, we get:
x = 300
So for values of x greater than 300, the cost of Plan 2 will exceed the cost of Plan 1.
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Solve the inequality. Choose the number line that represents the inequality.
n+5<7
Answer:
3
Step-by-step explanation:
3+5 =8>7
Answer:
N<2
Step-by-step explanation:
5. Jade has $59.87 in her checking account.
She buys his mom a birthday present for $25.98.
How much money is left in her account?
Answer: $33.89
Step-by-step explanation:
$59.87 - $25.98 = $33.89
Answer:
33.89
Step-by-step explanat33.89ion:
$59.87-$25.98
$2,000 lounge suite was sold under a hire purchase agreement. A deposit of $200 was made. The balance and interest were then paid off in equal monthly instalment of $68 over 3 years.
How much did the lounge suite cost in total?
The Lounge suite price in total is, $2648.
Given that, $2,000 lounge suite was sold under a hire contract. A deposit of $200 was made. The balance and interest were then paid off in equal monthly instalment of $68 over three years.
Under a rent purchase agreement, a purchaser pays an initial deposit and takes the item away. The purchaser makes regular repayments (instalments). The instalments embrace each repayment of the debt and also the interest being charged by the seller. At the top of the amount of the agreement, the purchaser owns the item.
As mentioned, the lounge suite was purchased by paying $200 deposit and also the rest quantity through instalments i.e $68 over three years.
The total price of the lounge suite are going to be,
total price = deposit amount + instalments
= $200 + $68 over 3years
= $200 + $68 (3* 12) ( since, annually has twelve months)
=$200 + $68(36)
=$200 + $2448
=$2648
Therefore the overall price of the lounge suite is, $2648.
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HELPP PLEASE WILL GIVE BRAINLIEST
Answer:
1/20
Step-by-step explanation:
3 states start with the letter c. This means that there is a 3/50 probability of getting a state starting with c.
There are 5/6 sides of a die that is at most 5. That is a 5/6 probability.
Multiplying this together, we get:
3/50 x 5/6 =
15/300=
1/20
in Chad‘s reading class all the students are reading the same book the school body student the book at seven dollars per book if there are 27 students in Chad‘s class which of the following expressions could not be used to calculate the total cost 7(20)+7(7) 7(30)-7(7) 7(30)-7(3)
The expression which could not be used to calculate the total cost of book purchased by 27 students will be 7(20)+7(7) and 7(30)-7(7) which is option (a) and (b) .
An expression or algebraic expression is a mathematical statement consisting of numbers, variables and arithmetic operations between them.In order to find the cost of many items from the cost of 1 item, we apply multiplication operation.We have given the cost of the book $7 .
Total cost = Cost per book × Total number of students
= 7 × 27
= 189
(a) 7(20)+7(7) = 140 - 49
= 91
On simplifying the expression , we get 91 which is not equal to the total cost 189 . Hence , this expression does not represent the total cost.
(b) 7(30)-7(7) = 210 - 29
= 181
On simplifying the expression , we get 181 which is not equal to the total cost 189 . Hence , this expression does not represent the total cost.
(c) 7(30)-7(3) = 210 -21
= 189
On simplifying the expression , we get 189 which is equal to the total cost 189 . Hence , this expression represent the total cost.
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A clothing store buys jeans for $12 and marks them up 200% before selling them to customers. What is the selling price of the jeans? Group of answer choices
Answer:
The selling price = $36
Step-by-step explanation:
The Buying price or Cost (C) = $12Markup = 200%So
Percent Markup on Cost (M) = 200% of 12
= 200/100 × 12
= 2 × 12
= $24
Thus the selling price = Cost (C) + Markup (M)
= $12 + $24
= $36
Therefore, we conclude that:
The selling price = $36