Answer:
7/8 divided by 3 1/16 equal 2/7
3 friends ordered 2 pizzas of 6 slices each and ate equal amounts, how many slices did each person eat?
A 1
B 2
C 3
D 4
Answer:
Option D, 4
Step-by-step explanation:
2 pizzas x 6 slices per pizza = 12 slices of pizza
12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend
Option D, 4, is your answer
Let f(x)=|x|-3 write a function g whose graph is a translation 5 units down of the graph of f
If the function is translated 5 units down of the graph of f, the resulting function will be g(x) =. |x|-8
Translation of functionsTranslation is the technique that is used to change the position of a figure on an xy-plane.
For instance, if the function f(x) is translated k units down the graph, the resulting function will be g(x) = f(x) - k
Given the function f(x)=|x|-3, if the function is translated 5 units down of the graph of f, the resulting function will be;
g(x) = f(x) - 5
g(x) = |x|-3 - 5
g(x) =. |x|-8
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Simon spent 1/4 of his wages on rent.
He spent 20% of his wages on food.
He spent 0.15 of his wages on clothes
Work out the fraction of his wages that he had left.
Answer:
2x/5 wages is remaining.Step 1: Lets say 'x' is the total wage. Then we subtract 1/4 from the total wages.
=> 4x/4 - x/4
=> 3x/4 = Remaining Wages Left.
Step 2: Subtract 20% from 3x/4.
3x/4 - x/5 = Remaining Wages Left. [20% = 20x/100 = x/5]
=> 11x/20 = Remaining Wages Left.
Step 3: Subtract 0.15x from his remaining wages left.
=> 11x/20 - 3x/20 = Remaining Wages Left. [0.15 = 15/100 = 3/20]
=> 8x/20 = Remaining Wages Left.
Step 4: Simplify
8x/20 = 2x/5 = 0.40x
=> Simon has saved 2x/5 of the wages.
Please give me brainliest :)
Answer:
2/5 of wedgesStep-by-step explanation:
The total is 100% or 1.
Spent:
1/4 + 20% + 0.15 =0.25 + 0.2 + 0.15 = 0.6Left:
1 - 0.6 = 0.4 = 4/10 = 2/5(-1,6),(3,-4) find the slope and y intercept.
Answer:
Y =-2.5X +3.5
Step-by-step explanation:
x1 y1 x2 y2
-1 6 3 -4
(Y2-Y1) (-4)-(6)= -10 ΔY -10
(X2-X1) (3)-(-1)= 4 ΔX 4
slope= -2 1/2
B= 3 1/2
Y =-2.5X +3.5
int \( a[4]=\{1,2,3,4\} \) int \( { }^{*} p=a \); What is the value of \( *(p+3) ? \)
The value of the expression is 4.
The code :
int a[4] = {1, 2, 3, 4};
int *p = a;
what is *(p + 3)?
The variable a is an array of integers, and the variable p is a pointer to the first element of the array.
The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.
Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.
Therefore, the value of the expression is 4.
Here is a breakdown of the code:
int a[4] = {1, 2, 3, 4}: This line declares an array of integers called a and initializes it with the values 1, 2, 3, and 4.
int *p = a; This line declares a pointer to an integer called p and initializes it with the address of the first element of the array a.
what is *(p + 3)?: This line asks what the value of the expression *(p + 3) is.
The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.
Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.
Therefore, the value of the expression is 4.
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Correct Question :
Int a[4]={1,2,3,4}, int *p=a. What is the value of *(p+3)?
problem 4. solve the initial value problem y'' 2y' 3y = h(t − 4) y(0) = y' (0) = 0
The solution to the initial value problem y'' 2y' 3y = h(t − 4) y(0) = y' (0) = 0 is y(t) = (1/3)(t-4) u(t-4).
To solve the given initial value problem, we will use the method of undetermined coefficients. First, we will find the homogeneous solution by solving the characteristic equation:
r^2 + 2r + 3 = 0
Using the quadratic formula, we get:
r = (-2 ± sqrt(4 - 4(1)(3))) / (2(1))
r = (-2 ± sqrt(-8)) / 2
r = -1 ± i sqrt(2)
Therefore, the homogeneous solution is:
y_h(t) = e^(-t) (c1 cos(sqrt(2)t) + c2 sin(sqrt(2)t))
Next, we will find a particular solution to the non-homogeneous equation:
y_p(t) = A (t - 4)
y_p'(t) = A
y_p''(t) = 0
Substituting these into the original equation, we get:
0 + 2A + 3A(t-4) = h(t-4)
Since h(t-4) is zero for t<4 and one for t>=4, we can solve for A separately in each region. For t<4, the equation becomes:
0 + 2A + 3A(t-4) = 0
A = 0
0 + 2A + 3A(t-4) = 1
A = 1/3
Therefore, the particular solution is:
y_p(t) = (1/3)(t-4) u(t-4)
The general solution is then:
y(t) = y_h(t) + y_p(t)
y(t) = e^(-t) (c1 cos(sqrt(2)t) + c2 sin(sqrt(2)t)) + (1/3)(t-4) u(t-4)
Using the initial conditions, we can solve for the constants c1 and c2:
y(0) = 0 = c1
y'(0) = 0 = -c1 + sqrt(2)c2
c1 = 0
c2 = 0
Therefore, the solution to the initial value problem is y(t) = (1/3)(t-4) u(t-4).
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The rectangle shown
Can somebody please find the answer I will mark brainliest
Answer:
1= 102°,3=78°,4=102°
5=102°,6=78°,7=78°,8=102°
Step-by-step explanation:
Find the area of the polygon with the given vertices.
NC (– 2, 1), P(3, 1), Q(3,-1), R( – 2, -1)
what is the area in
square units.
Answer:
A= w . h = 10
Step-by-step explanation:
Look at attached graphic.
It's a rectangle.
width (in x axe) = length between 3 to -2 = 5
height (in y axe) = length between 1 to -1 = 2
help very easy 5th grade math im in rush
Answer:
C. every rhombus is a parallelogram
Answer:
every rhombus is also a parallelogram....
a coin is tossed 4 times. what is the probability of getting heads each time
answer: 1/16
If you flip a coin 4 times, the probability of getting all heads is 1/16.
arrange 4/8 3/4 8/12 11/16 in ascending order
Answer:
8/12, 11/16, 3/4, 4/8
Step-by-step explanation:
hope this helps
Based on the only info given it is guaranteed that AD = CD true or false
Answer:
Can we have a picture or more information, please? Thanks!
Step-by-step explanation:
Find the area of the semi circle with a radius of 2 feet
Answer:
area of semi circle πr=π×2=44/7 feet²
Unit 5, Lesson 2: Assignment 1
- Circle Dilations
Dante created the following measurements and calculations:
He then made the following measurements and calculations:
• He calculated the ratio
OB
OA
= 4.25.
• He measured the perimeter of A ARG, and found it to be 16.8 cm.
PERIOD
4.25
- 12.3
12.3
DB
H
R
P= 16.8
S
• He measured
• He calculated the area of A ARG, and found it to be 2.3 cm?.
• He calculated the circumference of circle A, and found it to be approximately 12.3 cm.
He would now like to calculate corresponding values for the triangle in the larger circle, and he needs your help.
Calculate the following, using your knowledge that all circles are similar, along with the data already collected by Noah.
5. Find the perimeter of A BSH.
6. Find the measure of LSBH.
7. Find the area of A BSH.
8. Find the length of the circumference of circle B.
To calculate the corresponding values for the triangle in the larger circle, we need to use the fact that all circles are similar. This means that the corresponding sides of the circles are proportional, and their corresponding angles are congruent. We can use this property to find the missing values.
First, let's find the radius of circle B. Since the ratio of the corresponding sides of the circles is 4.25, we can find the radius of circle B as follows:
R_B = 4.25 * R_A = 4.25 * 2.9 = 12.33 cm
Now, we can use the radius of circle B to find the lengths of the sides of triangle BSH. Since triangle BSH is also similar to triangle AOG, we can use the same ratio of 4.25 to find the lengths of the corresponding sides. We have:
BS = 4.25 * OA = 4.25 * 3.2 = 13.6 cm
BH = 4.25 * OG = 4.25 * 2.6 = 11.05 cm
To find the length of SH, we can use the fact that the sum of the lengths of the sides of a triangle is equal to its perimeter. We have:
Perimeter of triangle BSH = BS + SH + BH = 13.6 + SH + 11.05 = 24.65 cm
Therefore, the perimeter of triangle BSH is 24.65 cm.
To find the measure of angle LSBH, we can use the fact that the corresponding angles of similar triangles are congruent. Since angle AOG is a right angle, we know that angle BSH is also a right angle. Therefore, we have:
angle LSBH = angle BSH - angle LBS = 90 - 64 = 26 degrees
Therefore, the measure of angle LSBH is 26 degrees.
To find the area of triangle BSH, we can use Heron's formula, which gives the area of a triangle in terms of its side lengths. We have:
s = (BS + SH + BH)/2 = 24.65/2 = 12.325 cm
Area of triangle BSH = sqrt(s(s-BS)(s-SH)(s-BH)) = sqrt(12.3250.0251.275*0.075) = 0.167 cm^2
Therefore, the area of triangle BSH is 0.167 cm^2.
To find the length of the circumference of circle B, we can use the formula for the circumference of a circle, which is given by:
C_B = 2piR_B = 2pi12.33 = 77.42 cm
Therefore, the length of the circumference of circle B is approximately 77.42 cm.
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\(\textcolor{blue}{\small\textit{If you have any further questions, feel free to ask!}}\)
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it is possible for a small treatment effect to still be statistically significant. group of answer choices true false
True. It is possible for a small treatment effect to still be statistically significant if the sample size is large enough.
We have,
Statistical significance is determined by the p-value, which measures the probability of obtaining the observed results if the null hypothesis (no difference between groups) is true.
A small treatment effect may still produce a low p-value if the sample size is large enough to detect even small differences.
However, the clinical significance of the treatment effect should also be considered in addition to statistical significance.
Thus,
It is possible for a small treatment effect to still be statistically significant if the sample size is large enough.
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a. Is b in [a1, a2, a3]? How many vectors are in [a1, a2, a3]?
b. Is b in W? How many vectors are in W?
c. Show that a1 is in W.
Assuming W refer to sets of vectors in some vector space,
a. If scalars x, y, z exist, then b is in [a1, a2, a3]; otherwise, it is not. If a1, a2, and a3 are linearly independent then it contains three vectors.
b. Without knowing what W is, it is impossible to answer this question.
The number of vectors in W is not specified.
c. Without knowing what W is, it is impossible to answer this question.
a. To check whether b is in [a1, a2, a3], we need to see if b can be written as a linear combination of a1, a2, and a3. That is, there exist scalars x, y, and z such that b = xa1 + ya2 + z*a3. If such scalars exist, then b is in [a1, a2, a3]; otherwise, it is not.
The number of vectors in [a1, a2, a3] depends on whether a1, a2, and a3 are linearly independent or not. If they are linearly independent, then the set [a1, a2, a3] contains exactly three vectors.
If they are linearly dependent, then [a1, a2, a3] is a smaller set that can be obtained by removing one or two vectors from the original set. In this case, the number of vectors in [a1, a2, a3] can be 1, 2, or 3, depending on which vectors are removed.
b. To check whether b is in W, we need to see if it satisfies the defining properties of W. Without knowing what W is, it is impossible to answer this question. Please provide the definition of W.
Assuming W is a subspace of the vector space, the number of vectors in W is not specified by the subspace itself. It can be any non-negative integer, including infinite, depending on the dimension of the subspace.
c. To show that a1 is in W, we need to show that it satisfies the defining properties of W. Without knowing what W is, it is impossible to answer this question. Please provide the definition of W.
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Marcus' employee benefits include family health care coverage. He contributes 25% of the cost. Marcus gets paid weekly and $102 is taken out of each paycheck for family healthcare coverage. How much does his employer contribute annually for coverage?
Monthly amount, M = $102×4 = $408.
Also, yearly amount, Y = M×12 = $408×12 = $4896
It is given that 25% of the cost is contributed by Marcus.
Amount Marcus paid
\(=\dfrac{\$4896 \times 25 }{100}\\\\= \$1224\)
Therefore, his employer contribution annually for coverage is $( 4896 - 1224)=$3672.
Hence, this is the required solution.
What is formed by the intersection of a line and a plane if the line does not lie in the plane?
Answer:
to find the intersection we substitute the formulas for x, y and z into the equation for P and solve for t. The line is contained in the plane, i.e., all points of the line are in its intersection with the plane. Here are cartoon sketches of each part of this problem.
What is the equation of the line that passes through the point (6, 4) and has a slope
of -2/3
Formula is S=2nr squared
If r=7 and n=3.14,calculate S rounded off to two decimal places.
Answer:
307.72
Step-by-step explanation:
S=2nr²
S=2×3.14×7²
S=307.72
Consider a two-period binomial model with risk-neutral prob- ability distribution p=0.6, q=0.4. Let V2 be the payoff for a derivative with: Va(ww.) = { s 1 if w1 = H, W2 = H or w1 = T, W2 =T 0 otherwise Find the price of this derivative.
To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.
The possible outcomes for the two-period binomial model are H and T, there are four possible states of the world: HH, HT, TH, and TT.
To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.
Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.
We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.
The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.
Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is
HH: 0.36/(1+1) = 0.18
HT/TH: 0.48/(1+1) = 0.24
TT: 0.16/(1+1) = 0.08
Finally, we can calculate the price of the derivative
Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26
Therefore, the price of the derivative is 0.26.
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Translate this sentence into an equation. 67 is the difference of Gail's age and 15. Use the variable g to represent Gail's age.
The algebraic equation that represents the given sentence is:
g - 15 = 67.
Which algebraic equation represents the given sentence?We have to look at the description of the sentence, and then formulate expressions that represent this sentence.
The difference between two numbers x and y is represented by the following expression.
x - y.
Gail's age is represented by the following variable:
g.
Hence the difference of Gail's age and 15 is represented by:
g - 15.
The numeric value of this expression is of 67, hence the equation is:
g - 15 = 67.
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Helppp will mark brainliest
I never en studied this stuff
Answer:
Step-by-step explanation:
when a number is subtracted from x the result is 6. what is that number?6 - xx - 66 + x6 - ( x - 6)
The number we are looking for is x - 6.
To determine the number that, when subtracted from x, results in 6, we can set up the equation:
x - y = 6
Here, y represents the unknown number we are trying to find. To isolate y, we can rearrange the equation:
y = x - 6
Therefore, the number we are looking for is x - 6.
It's important to note that in mathematics, without specific values or additional information about x, we cannot determine a unique solution. The expression "6 - xx - 66 + x6 - ( x - 6)" you provided is not clear and does not allow us to solve for x or the unknown number directly. If you have specific values or additional context, please provide them, and I'll be glad to assist you further.
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name the relationship between the angles
Answer:
Step-by-step explanation:
Two angles are called complementary when their sum is 90º. In the figure, the α and β angles together form a right angle. Two angles are called supplementary when their sum is 180º. In the figure, the α and β angles together form a straight angle.
Thanks!
sin(150°) - tan(315°) + cos(300°) + sec^2 (360°)
I know it's answer is 3 but I don't understand how ...
please explain it in detailed steps pls.....
9514 1404 393
Answer:
3
Step-by-step explanation:
If you need to, you can use your calculator to evaluate this expression. Or, you can make use of your knowledge of trig function values.
sin(150°) = sin(30°) = 1/2
tan(315°) = tan(-45°) = -tan(45°) = -1
cos(300°) = cos(-60°) = cos(60°) = 1/2
sec(360°) = sec(0°) = 1
Then the expression evaluates to ...
1/2 -(-1) +1/2 +1² = 3
Answer:
see explanation
Step-by-step explanation:
sin150° = sin(180 - 150)° = sin30°
tan315° = - tan(360 - 315)° = - tan45°
cos300° = cos(360 - 300)° = cos60°
sec²360° = \(\frac{1}{cos^2360}\)
Then expressing the original gives
sin150° - tan315° + cos300° + sec²360°
= sin30° - (- tan45°) + cos60° + \(\frac{1}{cos^2360}\)
Evaluate using exact values
= \(\frac{1}{2}\) - (- 1) + \(\frac{1}{2}\) +\(\frac{1}{1}\)
= \(\frac{1}{2}\) + 1 + \(\frac{1}{2}\) + 1
= 3
32 shirts are sold every 4 hours. What is the unit rate?
The unit rate for the given case is 8 shirts per hour.
What is the ratio of two numbers?The ratio of two numbers a and b can be written as a : b = a/b. The ratio of two quantities is the unit rate of one quantity with respect to the other.
The total number of shirts are 32.
And, the time for sale is 4 hours.
Now, the unit rate can be calculated by taking the ratio of shirts and time as below,
Unit rate = Number of shirts ÷ Time
⇒ 32 ÷ 4 = 8
Hence, the unit rate of the sale is 8 shirts per hour.
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A company wants to make a box that has a length of 8 inches, a height of 11 inches, and a width of 2 inches. What is the minimum number of square inches of cardboard needed to make this box?
126
176
220
252
Answer:252
Step-by-step explanation:
It's asking for perimeter I'm assuming so
4. (i) In the Venn diagram below, A and B represent events and p, q, r and s
are probabilities.
P(A) =
7
25
A
P(B)
P
=
9
r
B
S
8
P[(A^B') ~ (A'^B)] = ;
25
(a) Use algebra to show that 2p + 2q + 2r=
4
5
(b) Find the value of p, the value of q, the value of r and the value of s
€
(5)
DO NOT WRITE IN THIS AREA
DO
Using the inclusion-exclusion principle for Venn diagram to expand the intersection of two events we conclude that 2p + 2q + 2r = 4/5.
What is set theory?In the area of mathematical logic known as set theory, we study sets and their characteristics. A set is a grouping or collection of items. These things are frequently referred to as elements or set members. A set is, for instance, a team of cricket players. We may claim that this set is finite since a cricket team can only have 11 players at a time.
P[(A ∪ B) ∩ (B' ∪ A')] = 8/25
Using the inclusion-exclusion principle to expand the intersection of two sets:
P[(A ∪ B) ∩ (B' ∪ A')] = P[(A ∪ B) - (A ∩ B')] + P[(B' ∪ A') - (A ∩ B')]
P[(A ∪ B) ∩ (B' ∪ A')] = [P(A) + P(B) - P(A ∩ B')] + [P(B') + P(A') - P(A ∩ B')]
Substituting the given probabilities and simplifying, we get:
P[(A ∪ B) ∩ (B' ∪ A')] = [(7/25) + (1/5) - x] + [(4/5) - (7/25) - x] = 8/25
Solving for x, we get:
x = 1/25
Now we can use the given probabilities to solve for 2p + 2q + 2r:
2p = P(A) = 7/25
2r = P(B') = 1 - P(B) = 4/5
2q = P[(A ∩ B') ∪ (A' ∩ B)] - P(A ∩ B') - P(A' ∩ B) = (8/25) - (1/25) - (q)
2q = 7/25
Simplifying, we get:
2p + 2q + 2r = (7/25) + (7/25) + (4/5) = 28/25 + 20/25 = 48/25
Dividing by 2, we get:
p + q + r = 24/25
Finally, multiplying by 2 again, we get:
2p + 2q + 2r = 48/25
So we have shown that 2p + 2q + 2r = 4/5.
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