Answer:
1.20Step-by-step explanation:
1y + 12 = 6 (1y + 1)
1y + 12= 6y + 6
12 - 6 = 6y - 1y
6 = 5y
y = 6/5
y = 1.2
I don't what you meant by rounding to 2 decimal points so my answer is
1.20The difference of the squares of two numbers is 15. The difference of twice the square of the first number and the square of the second number is 30. Find the numbers.
Answer:
I think that's the answer
The Nutty Professor sells cashews for $7.40 per pound and Brazil nuts for $4.80 per pound. How much of each type should be used to make a 28 pound mixture that sells for $6.19 per pound?
Answer:
cos4B =1-8sin^2(B)+8sin^4(B)
Step-by-step explanation:
cos4B =1-8sin^2(B)+8sin^4(B)
If 2 sticks of butter make 36 cookies, how many sticks are you going to need to buy to make 3,000?
Find the equation of a line whose slope is 1/2 and intersects negative y-axis at a distance of 7 units from the origin.
Answer:
Step-by-step explanation:
[tex]y=\frac{1}{2} x-7[/tex]
Answer:
y = 1/2x - 7
Step-by-step explanation:
The slope equation is: y = mx + b
m being the slope
b being the y-intercept
The problem says that the slope is 1/2, and says that it intersects negative y-axis, therefore the y-intercept is negative, so -7
what is the vertex form of y=2x^2+8x+1
Answer:
So, the vertex form of your function is [tex]y(x)=2*(x+2)^2-7[/tex].
The vertex is at [tex](-2|-7)[/tex]
Step-by-step explanation:
Given function:
[tex]y(x)=2*x^2+8x+1[/tex]
Steps:
[tex]y(x)=2*x^2+8x+1\\[/tex]
[tex]y(x)=2(x^2+4x+\frac{1}{2} )[/tex] (Factor out)
[tex]y(x)=2(x^2+4x+2^2-2^2+\frac{1}{2} )[/tex] (Complete the square)
[tex]y(x)=2((x+2)^2-2^2+\frac{1}{2} )[/tex] (Use the binomial formula)
[tex]y(x)=2((x+2)^2-\frac{7}{2} )[/tex] (Simplify)
[tex]y(x)=2*(x+2)^2-7[/tex] (Expand)
Four students in an art class mixed red and blue paint to make purple. The amounts they used are shown in the table. Which student made a different shade of purple than the other students.
Based on the mixtures of the four students in the art class, the student with a different shade of purple would be Aiden.
Why would Aiden's mixture be different?In order to solve this question, look at the ratio of red paint to blue paint for all the students:
Alec:
1¹/₃ : ²/₃
2 : 1
Rosa:
2¹/₂ : 1 ¹/ ₄
2 : 1
Aidan:
4¹/₂ : 2
2.25 : 2
Zoe:
5 : 2¹/₂
2 : 1
Notice that Aidan's mixture is the only one that is different and so will have a different shade of purple as a result.
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Answer:
its aidan
Step-by-step explanation:
Data are collected about the amount of time, in minutes, each band member spends practicing. How does a single outlier change the lower and upper quartiles of the collected data?
A single outlier does not affect the values of the quartiles.
A single outlier causes the values of the quartiles to move slightly away from the outlier.
A single outlier doubles the values of the quartiles.
A single outlier causes the values of the quartiles to move slightly toward the outlier.
A single outlier does not affect the values of the quartiles.
What is the effect of the outlier on the value of the quartiles?
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier does not affect the values of the upper and lower quartiles. This is an advantage of the upper and lower quartiles over range.
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what is the inverse of this function? f(x)=-1/2 square root of x+3, x > -3
The inverse function of [tex]f(x) = -\frac 12\sqrt{x + 3}[/tex] is[tex]f^{-1}(x) = 4x^2- 3[/tex]
How to determine the inverse function?The function is given as:
[tex]f(x) = -\frac 12\sqrt{x + 3}[/tex]
Rewrite as;
[tex]y = -\frac 12\sqrt{x + 3}[/tex]
Swap the positions of x and y
[tex]x = -\frac 12\sqrt{y + 3}[/tex]
Multiply through by -2
[tex]-2x = \sqrt{y + 3}[/tex]
Square both sides
4x^2 = y + 3
Subtract 3 from both sides
y = 4x^2 - 3
Express as an inverse function
[tex]f^{-1}(x) = 4x^2- 3[/tex]
Hence, the inverse function of [tex]f(x) = -\frac 12\sqrt{x + 3}[/tex] is[tex]f^{-1}(x) = 4x^2- 3[/tex]
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Use factoring by grouping to completely factor the following.
4x^3−3x^2−36x+27=
Answer: 3 answers
Step-by-step explanation:
Write a two-column proof.
Given: 7y = 8x – 14; y = 6
Prove: x = 7
1) [tex]7y=8x-14, y=6[/tex] [given]
2) [tex]7(6)=8x-14[/tex] [substitution]
3) [tex]56=8x[/tex] [addition property of equality]
4) [tex]7=x[/tex] [division property of equality]
5) [tex]x=7[/tex] [symmetric property of equality]
A two columns proof is given in the attached image below as per the concept of solving equations.
A two columns proof is given below:
Statement | Reasons
y = 6 | Given
7y = 8x - 14 | Given
7(6) = 8x - 14 | Substitution (Substitute y with 6 in statement 2)
42 = 8x - 14 | Simplification
42 + 14 = 8x | Addition Property of Equality (Add 14 to both sides)
56 = 8x | Simplification
56/8 = x | Division Property of Equality (Divide both sides by 8)
7 = x | Simplification (Simplify the fraction 56/8)
x = 7 | Symmetric Property of Equality (Rearrange statement 9)
In this two-column proof, we start with the given information that y is equal to 6 (statement 1).
Then, we substitute the value of y into the equation 7y = 8x - 14 (statement 2) to get 42 = 8x - 14 (statement 3).
We simplify the equation to isolate 8x and find that 56 = 8x (statement 6). Dividing both sides of this equation by 8 (statement 7) gives us x = 7 (statement 8).
Finally, we use the symmetric property of equality to rearrange the equation and conclude that x is indeed equal to 7 (statement 9).
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−5 = s−9. what is s?
Answer:
S= 4
Step-by-step explanation:
add 9 to -5
= 4
s=4
Classify the polynomial by its degree and number of terms
n³ - 12n² + 6m² n²
Answer: It’s a trinomial
Step-by-step explanation: It has three terms, so it’s classified as a trinomial. (Tri=three)
With the aid of an illustration from a well labelled diagram, explain a cross over experimental design using a scenario with three treatment
A crossover design is a reiterated assessments design in which each experimental unit (patient) receives various treatments at different time periods, i.e., the patients switch from one therapy to another during the trial.
What is the advantage of a crossover design?The crossover design has the benefit of each subject acting as his or her own control, and it requires a lesser number of patients than parallel-group trials.
There are various drawbacks. For example, crossover designs often last longer than parallel-group research.
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Which graph corresponds to the following inequality? -2x-3xy<6
you need to start from the beginning add 2 and 3
Step-by-step explanation:
what is the area of triangle ABC if the height is 4 yards and the base is 15 yards
Answer:
30 square yards
Step-by-step explanation:
You can calculate the area of a triangle by using the formula: [tex]A = \frac{1}{2}bh[/tex], where b=base, and h=height, and since you have both values you can easily calculate the area by plugging the values in
Plug Values Into Equation:
[tex]A = \frac{1}{2}(15)(4)[/tex]
Multiply 15 and 4
[tex]A=\frac{1}{2}(60)[/tex]
Multiply by 1/2 (or technically divide by 2)
[tex]A = 30[/tex]
Answer:
The answer is 30yd²
Step-by-step explanation:
A=hb b/2
=4·15/2
=30yd²
edward nolan has room for 28 bedding 1.99
The minimum that Nolan would have to spend is $33.84 while the maximum he has to spend is $35.94
How to solve for the minimum amount10 * 0.84 = 8.4
8 * 1.29 = 10.32
8 * 1.89 = 15.12
The minimum is = 8.4 + 10.32 + 15.12
= 33.84 dollars.
How to solve for the maximum10 * 1.89 = 18.9
8 * 1.29 = 10.32
8 * 0.84 = 6.72
The sum of the maximum is given as 18.9 + 10.32 + 6.72
= $35.94
Complete questionEdward Nolan has room for 26 bedding plants in his garden. He can get pansies for $1.89 each, marigolds for $1.29 each, and zinnias for $0.84 each. He plans to buy 10 of one type and 8 each of the other two types of plants. (a) What is the minimum (in $) Edward will have to spend? $ Incorrect: Your answer is incorrect. (b) What is the maximum (in $) Edward could spend? $ Incorrect: Your answer is incorrect.
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solve for the value of Y.
90=7y+8+8y+7
Answer:
y = 5
Step-by-step explanation:
1) Simplify 7y+8+8y+7 to 15y + 15.
90 = 15y + 15
2) Subtract 15 from both sides.
90 - 15 = 15y
3) Simplify 90 - 15 to 75.
75 = 15y
4) Divide both sides by 15.
75/15 = y
5) Simplify 75/15 to 5.
5 = y
6) Switch sides.
y = 5
The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school.
A 4-column table with 3 rows. The first column has no label with entries travel, not travel, total. The second column is labeled college with entries 43, 24, 67. The third column is labeled not college with entries 10, 5, 15. The fourth column is labeled total with entries 53, 29, 82.
Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent.
18%
22%
35%
82%
Using it's concept, it is found that the marginal relative frequency for students who plan to attend college is of 82%.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are a total of 82 students, 67 of which plan to attend college, hence the relative frequency is:
f = 67/82 = 0.82 = 82%.
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Answer:
82%
Step-by-step explanation:
The answer above is correct.
If arc mAD = 103°, and arc mBC = 115°, what is m∠BEC?
Applying the angles of intersecting chords theorem, m∠BEC = 109°.
What is the Angles of Intersecting Chords Theorem?According to the angles of intersecting chords theorem, the measure of angle BEC equals half the sum of the measures of arcs AD and BC.
arc mAD = 103°
arc mBC = 115°
Therefore, we would have:
m∠BEC = 1/2(103 + 115)
m∠BEC = 109°
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The graph provided show the volume (in cubic inches) of air in a balloon as it chang
over time.
What is the volume of the balloon in cubic inches after 20 seconds?
The volume of the balloon is 500 cubic inches after 20 seconds
How to determine the volume?From the given graph, we have:
Time on the x-axisVolume on the y-axisAlso from the graph, we have:
V(20) = 500
This means that:
The volume of the balloon is 500 cubic inches after 20 seconds
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(2x-1)²+8√2xy=4
4y-√8xy-1=1
(x² + 2√xy) = 5/4
2y - √2xy = 0
How to factorize the expressionFrom the first equation
(2x-1)²+8√2xy=4
Expand the bracket
(2x-1) (2x+ 1) + 8√2xy = 4
4x² + 2x -2x - 1 + 8√2xy = 4
4x² - 1 + 8√2xy = 4
Collect like terms
4x² + 8√2xy = 4 + 1
4x² + 8√2xy = 5
Find the common factor
4(x² + 2√xy) = 5
(x² + 2√xy) = [tex]\frac{5}{4}[/tex]
For equation 2, we have
4y-√8xy-1=1
4y - [tex]\sqrt{4 *2 xy }[/tex] = 1 -1
4y - [tex]2\sqrt{2xy}[/tex] = 0
Find the common factor
[tex]2(2y - 2\sqrt{2xy} ) = 0[/tex]
[tex]2y - 2\sqrt{2xy} = 0[/tex] × 2
[tex]2y - \sqrt{2xy} = 0[/tex]
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HELP!! EASY 50 POINTS!!
Select the correct answer. With which set of information can you construct a unique triangle? A. the measurements of all the angles B. the lengths of two sides C. the measurements of two angles D. the lengths of all the sides E. the measurement of one angle
Classify the following triangle as acute, obtuse, or right.
Answer:
cool
Step-by-step explanation:
pooop
El alto de una caja "y" mientras que su ancho es "g" pies.
¿Cuál es el perímetro de la caja en pulgadas?
O [(g+y)x 2]
O10[(g+y)x 6]
12[(g+y)x 4]
O 12[(g+y)x 2]
Por definición de perímetro y considerando el cambio de unidades, el perímetro de la caja en pulgadas es 12[(g+y)×2].
Definición de perímetroEl perímetro de un figura geométrica plana se denomina a la longitud de su contorno. El perímetro es, por tanto, una medida de longitud.
En otras palabras, el perímetro de una figura de dos dimensiones es la distancia alrededor de la figura y es el resultado de la suma de los lados de una figura geométrica plana. Por lo que para el cálculo del perímetro es necesario conocer el número de lados de la figura y la longitud de cada uno de esos lados.
Perímetro de una cajaUna caja se puede considerar como una figura que tiene cuatro lados con dos medidas diferentes (alto y ancho).
El alto de la caja es "y" mientras que su ancho es "g" pies, por lo que su perímetro P es calculado como:
P= 2g + 2y= 2×(g+y) pies
Luego, se puede aplicar la siguiente regla de tres para realizar el cambio de unidades a pulgadas: si 1 pies equivale a 12 pulgadas, 2×(g+y) pies equivales a cuantas pulgadas?
[tex]P=\frac{2x(g+y) piesx12 pulgadas }{1 pie}[/tex]
Resolviendo
P= 12[(g+y)×2] pulgadas
Finalmente, el perímetro de la caja en pulgadas es 12[(g+y)×2].
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What is the range of the function graphed below?
Answer:
[tex]\boxed{-\infty < y\leq 2}[/tex]
Step-by-step explanation:
See the appendix.
The set of values is the interval [tex]y\in (-\infty , 2 >[/tex] .
[tex]y\in (-\infty , 2 > ~~\Leftrightarrow ~~\boxed{-\infty < y\leq 2}[/tex]
what is the range of y=x+3^2
All real numbers
{3^2}
{1, 3, 9}
All real numbers except 9.
Answer:
All real numbers
Step-by-step explanation:
See attached graph.
15) Complete.
Purchase Price: $450
Finance Charge: $82,50
Down Payment: $150
Number of Payments: 18
Monthly Payment:
O a.) $22.15
Ob.) $20.45
Oc.) $21.25
Od.) $22.25
The monthly payment for this purchase with a price of $450, a finance charge of $82.50, a down payment of $150, and 18 monthly payments is c.) $21.25.
What is the monthly payment?The monthly payment is the periodic payment made to settle a mortgage loan.
When the total mortgage payment is determined, the monthly payment can be calculated as the dividend of the total mortgage payment and the number of monthly payments.
Data and Calculaitons:Purchase Price: $450
Finance Charge: $82,50
Down Payment: $150
Number of Payments: 18
Total mortgage payment = $382.50 ($450 + 82.50 - 150)
Monthly payment = $21.25 ($382.50/18)
Thus, the monthly payment for this purchase with a price of $450, a finance charge of $82.50, a down payment of $150, and 18 monthly payments is c.) $21.25.
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Which list shows all the factors of 24?
A. 1, 2, 3, 4, 6, 8, 12, 24
B. 1, 2, 3, 4, 6, 12, 24
C. 1, 2, 4, 5, 6, 12, 24
D. 1, 2, 4, 6, 12, 24
Answer!!
it would be a
Step-by-step explanation:
Sin (5x-25) = COS (3x)
X=?
Answer:
x=23
Step-by-step explanation:
put it in desmos and was right
what is the degree of the polynomial below?
x⁵+1-3x⁴+3x⁹-2x
The degree of the polynomial, x⁵+1-3x⁴+3x⁹-2x, is: 9.
What is the Degree of a Polynomial?
The degree of a polynomial is determined by the monomial with the highest degree.
Given the polynomial, x⁵+1-3x⁴+3x⁹-2x, the monomial with the highest degree is 3x⁹.
Therefore, the degree of the polynomial given is: 9.
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