Answer:
Walnuts - $1.25, chocolate chips - $3.25Step-by-step explanation:
Let walnuts = x, chocolate chips = y
Set a system and solve:
3x + 5y = 206x + 2y = 14Double the first equation and subtract the second one from it:
6x + 10y - 6x - 2y = 40 - 148y = 26y = 26/8y = 3.25Find the value of x:
6x + 3.25*2 = 146x = 14 - 6.56x = 7.5x = 7.5/6x = 1.25PLEASE PLEASE HELP I will give BRAINLIEST
Anthony deposits 1,250 in a savings account with an interest rate of 6% if the Interest rate is compounded monthly than the account balance after t years is given by the expression below 1250(1+0.06/12)^12t what does (1+0.06/12t) represent
(nevermind srry, that was wrong)
Answer: represents the growth factor which reveals the monthly interest rate.
Step-by-step explanation:
Anthony's account balance can be modeled by the general compound interest formula shown below, where P is the initial amount, r is the annual interest rate, n is the number of times that the interest in the account is compounded per year, and t is the time period.
Consider the given expression.
1250(1+0.06/12)^12t
In the given expression, "1" represents 100% of the money in the account at the start of the month and "" represents the percentage of the account balance that gets added into the account at the end of each month. This is the monthly interest rate and the entire expression,(1+0.06/12t) , is the factor of growth.
Therefore, (1+0.06/12t)represents the growth factor which reveals the monthly interest rate.
Determine the measure of the arc CED
Answer:kbef;eohrjkvoubwe
cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?
A.
Kendall might be determined to be insane and not qualified to testify.
B.
The evidence in Kendall’s case is inconclusive and doesn’t prove anything.
C.
Kendall is an expert witness who has testified many times before.
D.
The police think it will hurt their case if Kendall chooses to testify.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Arc length= \(\frac{interior angle}{360} 2\pi r\)
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
sooo like I need some help?
Answer:
11?
Step-by-step explanation:
The missing side is 4 so 4+4+3=11.. Maybe?
Answer:
4^2 +3^2 =5^2
=25
Step-by-step explanation:
Pythagorean Theorem.
A triangle has one 40° angle and two 70° angles. Is this triangle equilateral?
Answer:
No
Step-by-step explanation:
All angles have to be =
Adult tickets for an art show cost $12. Tickets for students cost $7.
Nikko has $160 to buy 3 adult tickets and 20 student tickets.
Nikko says he has enough money to buy all of the tickets. He says this is because $7 × 20 = $140 and $140 is less than $160.
Critique Nikko's reasoning. Which statements are correct? Select all that apply.
The correct option is B. Nikko did not include the price of adult ticket and E. total cost of tickets is $176, Nikko does not have enough money
for buying the art show tickets.
Explain about the linear equation?A two-variable linear equation can now be theorized of as a linear relationship for both x and y, or two variables whose values rely on each other (often y and x). Y is addressed to as the dependent variable in this issue since it depends on the independent variable, x.
For the question:
Adult tickets cost - $12.
students cost - $7.
Let the number of Adult tickets ticket be 'x'.
Let the number of students tickets ticket be 'y'.
Total cost be T.
Then,
linear equation forms;
T = 12x + 7y
For x = 3 adult tickets and y = 20 student tickets.
T = 12(3) + 7(20)
T = 36 + 140
T = $176
Thus, The best choice is B. The total cost of the tickets, which Nikko neglected to add, is $176. Nikko lacks the necessary money to pay for the art exhibition tickets.
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Which ordered pairs are solution to the system of inequalities? {X+2y>4, 3x-y<2
The ordered pairs which is the solution of the system of Inequalities is;
x > 0 and y < 2
How to find the ordered pair of inequalities?We are given the inequalities;
x + 2y > 4 ----(1)
3x - y < 2 -----(2)
Subtract 2y from both sides in eq 1 to get;
x > 4 - 2y ----(3)
Put 4 - 2y for x in eq 2 to get;
3(4 - 2y) - y < 2
12 - 4y - y < 2
12 - 5y < 2
Subtract 12 from both sides to get;
-5y < -10
Divide both sides by -5 to get;
y < 2
Put 2 for y in eq 3 to get;
x > 4 - 2(2)
x > 0
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A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point having coordinates (1.0, 0.7), where the units are meters, what is the location of the fly in polar coordinates?
Answer:
Step-by-step explanation:
r = √(1.0² + 0.7²) = 1.22065556157337029...
θ =arctan(0.7/1.0) = 34.9920201985586621...
(1.2, 35)
what is the y intercept ??
Find the equation of the parabola in vertex form that has a vertex of (4,-2) and a y intercept of (0,-66)
The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
The vertex form of a parabola is given by:y = a(x - h)^2 + k
where (h, k) is the vertex of the parabola.
We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2
Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2
Simplifying this, we get:-66 = 16a - 2
Adding 2 to both sides, we get:-64 = 16a
Dividing both sides by 16, we get:a = -4
Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2
Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
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(-3, 1), (-17, 2)
What’s the slope
Good morning help me out thank u
Answer:
25
Step-by-step explanation:
Using the Pythagorean theorem, we need to calculate
15^2+20^2=x^2, which simplifies to:
225+400=x^2,
625=x^2
and since 25^2 equals 625, the answer is AC=25
Jordayn has read 72 pages of her book. It took her 1 (1)/(2 ) hours. How many hours would it take for her to read 168 page book?
Answer:
We can start by finding how many pages Jordayn reads per hour:
Pages per hour = 72 ÷ (1 1/2) = 72 ÷ 3/2 = 48
So, Jordayn reads 48 pages per hour.
To find out how long it would take her to read a 168-page book, we can use the following formula:
Time = Pages ÷ Pages per hour
Time = 168 ÷ 48
Time = 3.5
Therefore, it would take Jordayn 3.5 hours to read a 168-page book, assuming her reading speed remains constant
What is the measure of 23, in degrees, in the figure shown? 30° 137° 3
Answer:
73°
Step-by-step explanation:
This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.
The triangle has two angles implied, 30 degrees and (180-137) degrees.
(180 - 137) = 43 degrees
Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.
180 - 43 - 30 = 107
The angle with a measure of 107 degrees and angle 3 are supplementary
180 - 107 = 73 degrees
Answer:73.4° Fahrenheit.
Step-by-step explanation:
{Edmentum}Which operation should you perform last in the expression 12 × 4^2?
No sample answer, please?
Have good defined answer! :D
Also, If you put a sample answer put a warning and I'll mix it into my own words! :D
That's all, Open to suggestion work and support work!
Have a amazing Day!
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pls help asap
if square x = -7 ; then x = - 49
Calculate the side lengths a and b to two decimal places
Answer:
E
Step-by-step explanation:
using the Sine rule in Δ ABC
\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C
we require to calculate ∠ C
∠ C = 180° - (64 + 85)° = 180° - 149° = 31°
then to find a , using
\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)
\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )
a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )
then to find b , using
\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )
b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )
Gretta is saving for retirement. She deposits $125 each month at 6% annual interest for 35 years. According to her calculations, at the end of 35 years, she should have $178,088.79 in her account. How much of this did Gretta contribute and how much of this is interest?
Answer:
Gretta's Contribution = $52,500
Interest = $125,588.79
Step-by-step explanation:
Gretta contributes $125 each month, for 35 years. Therefore, to find the amount she contributed, we multiply those pieces together (12 months in each year).
125 x 12 x 35 = $52,500
Therefore, over the 35 years, Gretta contributed $52,500.
If there was $178,088.79 in her account, and she contributed $52,500, then the rest is interest.
$178,088.79 − $52,500 = $125,588.79
There was $125,588.79 in interest earned on Gretta's account.
I AM WILLING TO PAY IF YOU HELP ME WITH MY ASSIGNMENT! Pls dm me if you know how to do this and have paypal
Answer:
55860
Step-by-step explanation:
This way super dupper easy
Answer:
V is approximately 11.81
Step-by-step explanation:
We use the sine rule
V/sin 98 = 10/sin 57
Cross multiply
V * sin 57 = 9.90268068
V = 9.90268068/sin 57
V= 11.80759295
V ~ 11.81
The overall regression F-statistic tests the null hypothesis that:____.
a. all slope coefficients are zero.
b. all slope coefficients and the intercept are zero.
c. the intercept in the regression and at least one, but not all, of the slope coefficients is zero.
d. the slope coefficient of the variable of interest is zero, but that the other slope coefficients are not.
Answer:
A
Step-by-step explanation:
F test is a statistical method used to determine which models best fits the population from which the sample is derived. It is a ratio of two variances. Variance measure the rate of dispersion
The formula for calculating f-test = explained variance / unexplained variance
There are two hypothesis in an f test :
1. the null hypothesis - all slope coefficient are equal to zero
the alternative hypothesis : at least one of the slope coefficient is not equal to zero
Karley is an architect building the city pool. The larger rectangle represents the entire pool area. The smaller rectangle represents the pool. The shaded area represents the 4-foot walkway border around the pool. What is the area of the walkway border, or the shaded region, of this figure in square feet? Enter your answer in the box. ft²
Answer:
i think 216
Step-by-step explanation:
Answer:
736 ft²
Step-by-step explanation:
If the cost per person to rent a van varies inversely with the number people sharing the cost, what table could represent a situation
Answer:
You can make a table that starts with the cost for one person then add below the cost for 2,3,4 etc
Step-by-step explanation:
Evaluate the combination
C(y,y)
The combination C(y,y) is equal to 1.
The formula for the number of combinations of n items taken r at a time is:
C(n,r) = n! / (r!(n-r)!)
In this case, we have:
C(y,y) = y! / (y!(y-y)!)
Since y - y = 0, we can simplify the expression to:
C(y,y) = y! / (y! * 0!)
And since 0! = 1, we can further simplify to:
C(y,y) = y! / y!
The y! term in the numerator and denominator cancel out, leaving us with:
C(y,y) = 1
Therefore, the combination C(y,y) is equal to 1.
A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political a liation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.58
Are being Independent and being a swing voter disjoint, i.e. mutually exclusive? #### not really, i think there’s a slight connection, a lot of independent voters are also swing voters.
Draw a Venn diagram summarizing the variables and their associated probabilities.
No, being Independent and being a swing voter is not disjoint that mutually exclusive.
As in 2012 Pew Research survey asked 2,373 randomly sampled registered voters ;
The 11% of respondents are identified as both Independent and swing voters which means that there is overlap between the two groups, i.e. they are not mutually exclusive.
Some voters may identify as Independent and also as swing voters, meaning they are not independent in terms of political affiliation, but are still considered swing voters because they are not firmly committed to one political party.
Therefore, the categories of Independent and swing voter are not disjoint and can coexist for the same individual.
The given question is incomplete , the complete question is
A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political affiliation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.
Are being Independent and being a swing voter disjoint, i.e. mutually exclusive ?
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Multiply.
(2x+6)²
NEED ANSWER ASAPP
Answer:
4x² + 24x + 36
Step-by-step explanation:
(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36
solve for y in terms of x.
3x^2 + 2x + 4 = y
Answer:
y=-1+squareroot 47l /6, -1- squaroot 47l/6
Step-by-step explanation:
3x^2 +2x+4−x=0
3x^2 +x+4=0
y=-1+squareroot 47l /6, -1- squaroot 47l/6
1. A friend lends you $400 for a week, which you agree to repay with 5% one-time interest. How much will you have to repay?
Answer
a = 200 + 0.5 (200) = $210
Step-by-step explanation:
Apply the properties and simplify -479 + 3.7 + 479( please help )
Given:
\(-479+3.7+479\)Required:
Simplify the expression.
Explanation:
The given expression is:
\(-479+3.7+479\)Simplify the expression as:
\(3.7+(-479+479)\)Apply the addition property.
\(\begin{gathered} =3.7+0 \\ =3.7 \end{gathered}\)Final answer:
The simplification of the expression is 3.7
Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
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