The correct answer from the following given to find the details regarding the bouquet is:
y > 0
x ≥ 2y
0.5x + 0.75y ≤ 50
From the problem, we know that Denae wants at least twice as many daisies as daffodils in each bouquet, and she has a total of $50 to spend. This means that the number of daisies (x) and daffodils (y) must satisfy certain constraints.
The correct inequality among the constraints for this situation are:
y > 0, since there must be at least one daffodil in each bouquet.
x ≥ 2y, since Denae wants at least twice as many daisies as daffodils in each bouquet.
0.5x + 0.75y ≤ 50, since Denae has a total of $50 to spend and daisies cost $0.50 each and daffodils cost $0.75 each.
Therefore, the correct answers are:
y > 0
x ≥ 2y
0.5x + 0.75y ≤ 50
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Factor the expression completely.
2x-5x^2
If done correctly ill give brainliest and this is a test so please help fast!
Answer:
2
−
5
2
Step-by-step explanation:
=0.3
3.48 gallons of milk is sold for $10.16. If you want to buy 10.83 gallons of milk, how
much will you have to pay?
Answer:
$31.62
Step-by-step explanation:
Assuming the price is proportional to the volume, your price will be ...
price/(10.83 gal) = ($10.16)/(3.48 gal)
price = $10.16(10.83/3.48) ≈ $31.62
You will have to pay $31.62.
Who prepares the questions for grade 7 math worksheets?
The questions for grade 7 math worksheets are typically prepared by math teachers, curriculum specialists, and educational publishers.
These professionals use their knowledge of math concepts and pedagogy to create questions that are appropriate for the grade level and aligned with educational standards.
Additionally, they may use feedback from students and other teachers to refine the questions and ensure they are effective for teaching and learning. It is important for the questions to be clear, accurate, and challenging in order to help students develop their math skills and prepare for more advanced concepts.
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What is the yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons if this bond is currently trading for a price of $884?
5.02%
6.23%
6.82%
12.46%
G
5.20%
The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct
Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.
The formula for calculating YTM is as follows:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
Where:
C = Interest payment
F = Face value
P = Market price
n = Number of coupon payments
Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.
First, let's calculate the semi-annual coupon payment:
Semi-annual coupon rate = 5.2% / 2 = 2.6%
Face value = $1000
Market price = $884
Number of years remaining until maturity = 10 years
Number of semi-annual coupon payments = 2 x 10 = 20
Semi-annual coupon payment = Semi-annual coupon rate x Face value
Semi-annual coupon payment = 2.6% x $1000 = $26
Now, we can calculate the yield to maturity using the formula:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100
YTM = 6.23%
Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.
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keiko's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs keiko $5.35 per pound, and type b coffee costs $4.05 per pound. this month, keiko made 166 pounds of the blend, for a total cost of . how many pounds of type b coffee did she use?
Keiko used 83.5 pounds of type A coffee and 82.5 pounds of type B coffee in the blend.
What exactly are algebraic expressions?
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression
Given:
Type A coffee cost $5.35 per pound
Type B Coffee cost $4.05 per pound
Keiko made total 166 pound of the blend of $780.85
Therefore,
\(5.35x + 4.05y = 780.85 \;\;\;\;\; -------equation (1)\)
\(x + y = 166 \;\;\;\; ---------equation (2)\)
simplify the equation (2),
\(y = 166-x\)
Substitute the value of y in equation (1),
\(5.35x + 4.05 (166-x) = 780.85\)
\(5.35x + 672.3 - 4.05x = 780.85\)
\(5.35x-4.05x=780.85-672.3\)
\(1.3x=108.55\)
Therefore,
\(Total\;pound\;of\;type\;A\;coffee\;is,\;x=83.5\;pounds\)
Substitute the value of x in equation (2),
\(y=166-83.5\)
Therefore,
\(Total\;pound\;of\;type\;B\;coffee\;is,\;y=82.5\;pounds\)
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Suppose the price of a movie ticket was $0.25 in 1940. The consumer price index (CPI) in 1940 was 14, and the CPI today is 260. The price of the 1940 movie ticket in today's dollars is $7.98 $10.05 $1.29 $3.02 $4.64
The price of a 1940 movie ticket in today's dollars, which was option (e) $4.64.
To determine the price of a 1940 movie ticket in today's dollars, we need to adjust the price using the CPI. The CPI in 1940 was 14, while the CPI today is 260. The formula for adjusting the price for inflation is:
Adjusted Price = Price in Year T1 x CPI in Year T2 / CPI in Year T1
Where T1 is the base year and T2 is the target year.
In this case, the base year is 1940, and the target year is today. Therefore, we can calculate the adjusted price of the 1940 movie ticket as follows:
Adjusted Price = $0.25 x 260 / 14
Adjusted Price = $4.64
Therefore, the price of a 1940 movie ticket in today's dollars is $4.64.
Then the correct option is (e).
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Triangle PQR with vertices P(-13,-3) Q(-7,3) R(-6,-2) 270 degrees counterclockwise rotation about C(-5,-4)
Check the picture below.
y varies inversely with x. Write an equation relating x and y.
Then find the indicated value. Show your work.
y = 16 when x = 27. Find the value of y when
x = 18.
y = 3.2 when x = 30. Find the value of x when
y = 8.
The equation of variation is xy = 96. The value of y when x = 18 is 16/3 and the value of x when y = 8 is 12.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
y inversely varies as x.
That means, y ∝ 1/x.
So, y = kx, where k constant of variation.
Then, x × y = k
When y = 16, x = 6.
k = 6 × 16 = 96
So, the equation of variation is xy = 96.
When x = 18,
18y = 96
⇒ y = 96/18
⇒ y = 16/3
When y = 3.2,
3.2(30) = 96
When y = 8
8x = 96
⇒ x = 12
Therefore, the values are y = 16/3 and x = 12.
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Which two ratios form a proportion?
3:4 and 6:12
3:4 and 9:15
3:4 and 12:18
3:4 and 15:20
Answer:
3:4 and 15:20
Step-by-step explanation:
The answer is the fourth one because 3:4 and 15:20 are equivalent, so there's your answer. Hope it helps!
A bag contains 3 red balls and two blue balls. A ball is taken out random from the bag and then put back. A second ball has been taken out of the bag. What is the probability that: (a) both balls are red, (c)b both balls are the same color, (c) at least one of the balls is red. Answer
Answer:
a . 9/25
b. 13/25
c. 3/5
Step-by-step explanation:
Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls
P(R) = number of red/total number of balls = 3/5
P(B) = number of blue/total number of balls = 2/5
Since the experiment is with replacement, whatever ball picked would be returned
a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25
b. Probability of both balls being same color;
That is : probability of both balls being red or both being blue
Mathematically that would be;
P(R) * P(R) or P(B) * P(B)
whenever we have or in probability, what we do is to add ;
= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25
C. at least one of the balls is red
what this means is that both are red or one of the two is red.
Mathematically;
P(R) * P(R) or P(B) * P(R)
= (3/5 * 3/5) + (3/5 * 2/5)
= 9/25 + 6/25 = 15/25 = 3/5
Question
Let f and g be differentiable functions such that f'(0) = 3 and g' (0) = 7. If h(x) = 3f (x)- 2g (x) – 5cosx – 3, what is the value of h' (0) ?
Please show your work please
Answer:
\(\displaystyle h'(0) = -5\)
Step-by-step explanation:
We are given the function:
\(\displaystyle h(x) = 3f(x) -2g(x) - 5\cos x - 3\)
And that f'(0) = 3 and g'(0) = 7.
And we want to determine the value of h'(0).
Find h'(x). We can take the derivative of both sides:
\(\displaystyle h'(x) = \frac{d}{dx}\left[ 3f(x) - 2g(x) - 5\cos x - 3\right]\)
Expand and simplify:
\(\begin{aligned}\displaystyle h'(x) & = \frac{d}{dx}\left[ 3f(x) - 2g(x) - 5\cos x - 3\right] \\ \\ & = \frac{d}{dx}[3f(x)] + \frac{d}{dx}[-2g(x)] + \frac{d}{dx}[-5\cos x] + \frac{d}{dx}[-3]\\ \\ & = 3f'(x) -2g'(x) +5\sin x\end{aligned}\)
Therefore:
\(\displaystyle h'(0) = 3f'(0) -2 g'(0) + 5 \sin (0)\)
Substitute and evaluate:
\(\displaystyle \begin{aligned} h'(0) & = 3(3) - 2(7) + 5(0) \\ \\ & = (9) - (14) + (0) \\ \\ & = -5\end{aligned}\)
In conclusion:
\(\displaystyle h'(0) = -5\)
what is the true size of a block with nominal size of 6x4x16?
The true size of a block with a nominal size of 6x4x16 may vary. The nominal size refers to the intended dimensions, but the actual size can differ due to manufacturing tolerances and other factors.
The nominal size of 6x4x16 indicates the intended dimensions of the block, with a length of 16 units, width of 6 units, and height of 4 units. However, the true size of the block can vary from the nominal size due to manufacturing tolerances and other factors.
Manufacturing processes may introduce slight variations in the actual dimensions of the block. These variations are commonly referred to as tolerances. Tolerances account for potential deviations from the intended dimensions and are necessary to accommodate practical considerations during manufacturing.
Therefore, without specific information on the tolerances or manufacturing specifications, it is not possible to determine the true size of a block with a nominal size of 6x4x16. The true size can vary within an acceptable range based on manufacturing tolerances and other factors.
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In an item on sale cost 35% of the original price original price was $41
Answer:
$26.65
Step-by-step explanation:
41 decrease 35% =
41 × (1 - 35%) = 41 × (1 - 0.35) = 26.65
(11 - 8)! – 2 x 6
What is this answer, I can’t get it
Answer:
-6
Step-by-step explanation:
follow
BODMAS
bracket=(11-8)=3
3!= 3x2x1=6
multiplication= -2x6= -12
subtraction=6-12=-6
What is the value of x in the equation 2. 5 minus 0. 25 x = negative 3? –22 –1. 1 1. 1 22.
rewrite in the form hint: expand as a taylor polynomial of degree 6 about . using this, what are the coefficients ? what is the error in this case?
The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.
The given function is \(e^(-2x)\). We can write this in Taylor Polynomial of degree 6 as
\(f(x) = 1 - 2x + 2x^2 - (2^2/2!)x^3 + (2^3/3!)x^4 - (2^4/4!)x^5 + (2^5/5!)x^6 + ε\)
The coefficients of this Taylor Polynomial are 1, -2, 2, -4/2, 8/6, -16/24, 32/120 respectively.
The error in this case is given by ε which is the remainder in the Taylor Polynomial. This is calculated as the value of the n+1th derivative of the function at the point of expansion. We expand the Taylor Polynomial at a=0, so the error ε is given by
\(ε = (2^6/6!)f^(6)(c)\)
for some c between 0 and x. The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.
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Find the measure of ∠DBF (HURRY ASAP)
Answer:
This graph is kind of funky, but it should be 70
Step-by-step explanation:
23+47=70
Please mark Brainliest!!!
Answer:
70
Step-by-step explanation:
if the correlation coefficient ( r ) is positive, when one variable decreases, the other variable:
If one variable decreases, the other variable will also tend to decrease if the correlation coefficient is positive.
If the correlation coefficient (r) is positive, it means that the two variables have a positive linear relationship.
This means that as one variable increases, the other variable also tends to increase.
Conversely, as one variable decreases, the other variable tends to decrease as well.
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Find the volume & surface area of each figure. Round your answers to the nearest hundredth, if necessary.
Since no specific figure or measurements were provided in the student question, it's important to follow these steps for any given 3-dimensional shape.
To find the volume and surface area of a figure, follow these steps:
Identify the type of figure
Determine the shape of the figure, whether it's a sphere, cube, cylinder, or another 3-dimensional shape.
Determine the necessary measurements
Depending on the figure, gather measurements like the length, width, height, or radius.
Calculate the volume
Use the appropriate formula for the figure's volume:
- Cube: \(V = L^3\)(L = length)
- Rectangular prism: V = L * W * H (L = length, W = width, H = height)
- Sphere: V = (4/3) * π * \(r^3\)(r = radius)
- Cylinder: V = π *\(r^2\) * h (r = radius, h = height)
Calculate the surface area
Use the appropriate formula for the figure's surface area:
- Cube: SA = 6 *\(L^2\) (L = length)
- Rectangular prism: SA = 2 * (L * W + L * H + W * H) (L = length, W = width, H = height)
- Sphere: SA = 4 * π * \(r^2\) (r = radius)
- Cylinder: SA = 2 * π * r * (r + h) (r = radius, h = height)
Round your answers to the nearest hundredth, if necessary
Use standard rounding rules to round the calculated volume and surface area to the nearest hundredth.
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Which quadratic regression equation best fits the data set?
x. y
2. 45
5. 50
7. 71
8. 66
11. 46
15. 42
16. 28
The quadratic regression equation that best fits the given data set is y = -0.8725x^2 + 19.145x + 15.927.
To determine the quadratic regression equation that best fits the given data set, we need to find the equation of a quadratic function that closely represents the relationship between the independent variable (x) and the dependent variable (y).
Using a graphing calculator or a statistical software, we can perform a quadratic regression analysis on the data set to obtain the equation of the best-fit quadratic function. The equation will be in the form of y = ax^2 + bx + c, where a, b, and c are coefficients that will be determined by the regression analysis.
After performing the quadratic regression analysis on the given data set, the equation of the best-fit quadratic function is:
y = -0.8725x^2 + 19.145x + 15.927
This quadratic equation represents the best-fit curve that approximates the relationship between x and y in the given data set. The coefficients -0.8725, 19.145, and 15.927 determine the shape, position, and intercepts of the quadratic curve.
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Given f(x)=x*-x³-6x², for what values of x will f(x) > 0?
The values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.
To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².
First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).
Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.
Next, we analyze the signs of the factors:
1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.
2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.
3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.
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the homework consists of 36 independent problems. if the time taken to answer each question is a random variable with mean 6 minutes and a standard deviation 3 minutes. suppose we want to find the probability that all 36 problems in the homework will be completed in less than 180 minutes. which of the following is incorrect?
the probability that all 36 problems in the homework will be completed in less than 180 minutes
P(∑\(\left \{ {{i=36} \atop {i=1}} \right.\) \(X_{i}\) < 180) = P(X<5) = P(Z<-1) = ∅(-1)
given that
there are 36 independent problems
mean(μ) = 6minutes
standard deviation(σ) = 3 minutes
sample standard deviation = σ/\(\sqrt{n}\)
= 3/\(\sqrt{36}\)
=3/6
=0.5
the sample mean x of 36 questions answering time approximately follows a normal distribution with mean 6 minutes and sample standard deviation is 0.5 minutes
now we need to find the probability that all 36 problems in the homework will be completed in less than 180 minutes
P(∑\(\left \{ {{i=36} \atop {i=1}} \right.\) \(X_{i}\) < 180) = P(X<5) = P(Z<-1) = ∅(-1)
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This histogram shows the number of peanuts per bag of trail mix. Choose ALL statements about the data that are true? A) The most common range of peanuts per bag is 30-39. B) There are more bags with 10-19 peanuts than 40-49. C) The least common range of peanuts per bag is 10-19. D) The ranges with the same number of bags are 10-19 and 40-49. E) The ranges with the same number of bags are 20-29 and 50-59.
Answer:
A), C), E)
Step-by-step explanation:
Prove that a triangle having sides 13 cm 24 cm and 13 cm has the equal area to another triangle having sides 29 cm 25 cm and 6 cm.
Answer:
29cm is cool
Step-by-step explanation:
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y =f(2x)
b.
y = f(ç)
C.
2y = f (x)
d.
2 = f (x)
Enter
Therefore , the solution of the given problem of equation comes out to be option c is correct 2y = f(x) .
What is equation?The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation
y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.
Here,
Given :
Every point on the graph in red is 1/2 away from the x-axis as that of the equivalent position on the graph in black.
Therefore, the vertically scale factor is equal to 1/2:
=> y = (1/2)f(x)
This problem can be solved by multiplying it by two and yields the following solution:
=> 2y = f(x)
thus , option c is correct
Therefore , the solution of the given problem of equation comes out to be option c is correct 2y = f(x) .
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Evaluate 6x - (3y + 7) - xy when x = 5 and y = 3.
Answer:
-1
Step-by-step explanation:
6(x) - (3y + 7) - xy
6(5) - (3(3) + 7) - (5)(3)
30 - (9+7) - 15
30 - 16 - 15
-1
Hope this helps! Pls give brainliest!
Answer:
-1
Step-by-step explanation:
1. replace all the variables with the values it gives you-
6(5) - [ 3(3) + 7] - (5)x(3)
2. then if you combine everything using pemdas-
30 - (9 + 7) - 15
3. repeat step #2-
30 - 16 - 15
4. then solve-
30 - 16 = 14 then subtract 15 to give you -1
An object is moving at a speed of 2 centimeters ever 7 seconds. express this speed in meters per week.
The speed of the object is 12121 m per week.
What does it mean to do speed?
“Speed” is a street name for various stimulant drugs that teens, young adults and others use to feel more alert and focused, and in some cases, to feel high. Some people also use various forms of speed to reduce their appetite. Types of speed include: Amphetamines (used to treat ADHD, narcolepsy, and depression)The object is moving at a speed of 2 centimeters every 7 seconds.
We need to find the speed in m per week.
2 cm = 0.02 m
1 week = 604800 s
7 s = \(1.65 * 10^{-6} week\)
Speed = distance/time
So,
\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)
\(v = 12121.21 m/ week\)
or v = 12121 m/ week
So, the speed of the object is 12121 m per week.
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Please help me please I will really appreciate
Answer:
Step-by-step explanation:
If we draw this triangle with Q as the vertex angle (the one at the top of the triangle) then the 2 sides are congruent and this is an iosceles triangle. Because this is an isosceles triangle, then the 2 base angles, angle R and angle S are congruent. If Q measures 114 degrees, then angles R and S together have to add up to the difference between 180 and 114:
180 - 114 = 66
Divide that in half so R = S = 33 degrees each
A six-pack of soda costs $3.48 How much would 8 bottles of soda cost?
Answer:
Step-by-step explanation:
$4.64
At the beginning of year 1, $18,000 is invested at an annual simple interest rate
of 3%. If no deposits or withdrawals are made, how much will be in the bank at
the beginning of year 11?
Answer: 5940
Step-by-step explanation:
we have 18,000 in the bank with an interest of 3%
the simple interest I= prt, where p is the principal, in this case is 18,000
r is the rate, 3%, and t is the time, t=11 years
I= 18,000 * 3/100 *11=5940