Answer:
1 cup of flour = 8 servings
Step-by-step explanation:
3/4 cup of flour=6 serving
3/4 / 4/3=6 / 4/3
1 cup of flour = 8 serving
solve the given system of differential equations by systematic elimination. (2d2 − d − 1)x − (2d 1)y = 5 (d − 1)x dy = −5
The solution of the given system of differential equations by systematic elimination is: \(x = (2d^2 - d - 1)x / (2d + 1)\)
Given system of differential equations:
(2d^2 - d - 1)x - (2d + 1)y = 5, (d - 1)xdy = -5
To solve the given system of differential equations by systematic elimination, we can eliminate one of the variables (x or y) by differentiating one of the equations with respect to the independent variable (say, t) and then eliminating the variable (x or y) from the other equation using this derivative.
Let's differentiate the second equation with respect to t:
\((d - 1)xdy/dt + x(d/dt)(d-1)y = 0\\(d - 1)xdy/dt + x(dy/dt - d(d-1)y/dt) = 0\\(d - 1)xdy/dt + x(dy/dt - d^2y + d)y/dt = 0\\(d - 1)xdy/dt + xy' - d^2xy + dy = 0\)
Multiplying the first equation by d - 1, we get:
\((2d^2 - d - 1)(d - 1)x - (2d + 1)(d - 1)y = 5(d - 1)\\(2d^2 - d - 1)x - (d - 1)(2d + 1)y = 5\\(d^3 - 3d^2 - 3d + 5)x - (2d + 1)y = 0\)
Let's multiply the above equation by x and substitute (d - 1)xdy from the second equation:
(d^3 - 3d^2 - 3d + 5)x^2 - (2d + 1)xy + 5 = 0
Now, we can solve this quadratic equation for x, and then find y using either of the two equations.
Using the quadratic formula, we get:
x = [2d + 1 ± √\(((2d + 1)^2 - 4(d^3 - 3d^2 - 3d + 5)(5))]\) /\(2(d^3 - 3d^2 - 3d + 5)y\)
= (2d^2 - d - 1)x / (2d + 1)
Thus, the solution of the given system of differential equations by systematic elimination is:
x = [2d + 1 ± √\(((2d + 1)^2 - 4(d^3 - 3d^2 - 3d + 5)(5))]\)/ \(2(d^3 - 3d^2 - 3d + 5)y\)
\(x = (2d^2 - d - 1)x / (2d + 1)\)
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A chemist has 10 mL of a 20% salt solution. How many milliliters of water should she add to the solution to produce a 5% salt solution?
Answer:
15 mL?
Step-by-step explanation:
Which graph shows the solution to the system of linear inequalities?
x + 3y > 6
y ≥ 2x + 4
Answer:
its d
Step-by-step explanation:
edge
The approximated solution to the system of linear inequalities is (-0.9,2.3)
What is an inequality?Inequalities are used to compare unequal expressions or numbers
The system of linear inequalities is given as:
\(x + 3y > 6\)
\(y \ge 2x +4\)
Start by analyzing each inequality
The inequality sign in \(x + 3y > 6\) means that:
The line of the inequality is dottedThe upper part is shadedThe inequality sign in \(y \ge 2x +4\) means that:
The line of the inequality is closedThe upper part is shadedSee attachment for the graph of the system of linear inequalities
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Find The Measure Of Angle A In The Triangle
Answer:
∠A = 48°
Step-by-step explanation:
All angles in a triangle add up to 180°
I really need help with this .
Answer:
x= 12
Step-by-step explanation:
Here we have vertical angles, this means that they are angles that are across from each other on vertical lines. So, they equal each other.
The equation would be: 60= 5x
The only step is to divide 5 to both sides of the equation.
60= 5x
5 5
x= 12
Pt.2 Please show your work
Find the slope when given the following points
(-3, 2) and (1, 0)
Answer:
slope is = -1/2
Step-by-step explanation:
y2-y1= 2-0= 2
x2-x1= -3-1= -4
2/-4= -1/2
do blood pressure levels change after listening to soothing music? a random sample of 15 people was selected to determine the change in blood pressure after listening to 5 minutes of soothing, instrumental music. there was an outlier in the data.
It is possible that blood pressure levels could change after listening to soothing music, but it is unclear from the data given whether this is the case or not.
A sample of 15 people is a relatively small sample size, so it may not be representative of the population as a whole. In addition, it is not clear what method was used to select the sample, so there may be issues with sampling bias.
Furthermore, the presence of an outlier in the data could indicate that there are other factors influencing the change in blood pressure, such as an underlying medical condition or a reaction to a specific type of music. This outlier could also significantly affect the overall results of the study, making it difficult to draw reliable conclusions.
Therefore, it is not possible to determine from the information given whether or not blood pressure levels change after listening to soothing music. A larger and more carefully selected sample would be needed to provide more reliable results.
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Find the solution of the system of equations.
-6x-10y=-18 -3x+10y=36
Answer:
problem one
x = 3- 5y/3
y = 9/5 - 3x/5
problem 2
x= -12 + 10y/3
y= 18/5 + 3x/10
Step-by-step explanation:
find the value of x → 3^x + 3^(x + 1) = 3
Answer:
\(\boxed{x = ~^3\log\frac{3}{4}}\)
Step-by-step explanation:
\(3^x + 3^{x + 1} = 3\)
\(3^x + 3.3^x = 3\)
\(4.3^x = 3\)
\(3^x = \frac{3}{4}\)
\(x = ~^3\log\frac{3}{4}\)
(1) Solve x² + x + 2 = 0 by formula method.
The roots of the quadratic equation x² + x + 2 = 0 is \(-1+\sqrt{-7} /2\) and\(-1-\sqrt{-7} /2\)
What are roots?Roots: In mathematics, a solution to an equation, usually expressed as a number or an algebraic formula. The square root of a number is a value that can be multiplied by itself to give the original number. The square root of 9 is 3, because when 3 is multiplied by itself, you get 9.
given quadratic equation is, x² + x + 2 = 0
to find the roots we have formula method ,
x=\(-b+\sqrt{b^2-4ac}\)\(/2a\)
x=\(-b-\sqrt{b^2-4ac}\)\(/2a\)
a=1, b=1 and c=2
sub the values in the above equation
x=\(-1+\)\(\sqrt{1-4(1)(2)}\)\(/2\)
x=\(-1-\sqrt{1-4(1)(2)} /2\)
x= \(-1+\sqrt{-7}/2\) and x=\(-1-\sqrt{-7} /2\) are the roots of the quadratic equation
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Please solve this for me, I wanna get a decent grade
Answer:
x = 130 degrees
Step-by-step explanation:
180-110 = 70degrees
180 - 70 - 60 = 50 degrees
x = 180 - 50 = 130 degrees
if the point p falls on the unit circle and has an x coordinate of 5/13 find the y coordinate of point p
To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.
The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:
x^2 + y^2 = 1
Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:
(5/13)^2 + y^2 = 1
25/169 + y^2 = 1
To isolate y^2, we subtract 25/169 from both sides:
y^2 = 1 - 25/169
y^2 = 169/169 - 25/169
y^2 = 144/169
Taking the square root of both sides, we find:
y = ±sqrt(144/169)
Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:
y = ±12/13
So, the y-coordinate of point P can be either 12/13 or -12/13.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
In an examination, Tarang got 25% marks and failed by 64 marks. If he had got 40% marks he would have secured 32 marks more than the pass marks. Find the percentage of marks required to pass..
Answer:
224
Step-by-step explanation:
Total marks = x
x * 25% + 64 = x * 40% - 32
x * 15% = 96
x = 640
Maximum Marks = 640..
Marks Scored = 25% of 640
= 160
Marks Required to pass = 160 + 64
= 224
i need help please help me
u get brainlyist if quick
Find the value of y that makes the equation 3y = x + 2 true, when x = 1.
A. 1
B. 3
C. 1/3
D. 2
Answer:
A. 1
Step-by-step explanation:
just plug it in here
3y = 1 + 2
3y = 3
y = 1
A die is rolled and a coin is flipped simultaneously. the number rolled on the die and whether the coin lands heads or tails is recorded. how many outcomes are in the sample space? 8 6 10 12
Answer: 12
Step-by-step explanation:
A pregnant woman with a past history of a cesarean section is at GREATEST risk for: Group of answer choices breech birth. preeclampsia. uterine rupture. prolapsed cord.
A pregnant woman with a past history of a cesarean section is at the greatest risk for uterine rupture.
Uterine rupture refers to a tear or separation of the uterine wall, which can be a life-threatening complication during pregnancy or labor. Women who have had a previous cesarean section are at an increased risk of uterine rupture compared to those who have not undergone the procedure. This is because the scar tissue from the previous incision can weaken the uterine wall, making it more susceptible to rupture during subsequent pregnancies. The risk of uterine rupture is highest during labor, especially if the woman attempts a vaginal birth after cesarean (VBAC). The pressure and contractions of labor can place stress on the scarred area, increasing the chances of a uterine tear. Uterine rupture can lead to severe bleeding, fetal distress, and other complications that may require emergency medical intervention, including a cesarean delivery. It is important for pregnant women with a history of cesarean section to work closely with their healthcare providers to assess the risks and make informed decisions about their mode of delivery. This may involve considering the individual's specific circumstances, such as the type of uterine incision from the previous cesarean and any additional factors that may increase the risk of uterine rupture.
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1. Consider the following hypothesis test:
Claim: σ < 9.9
Sample Size: n = 30
Significance Level: α = 0.10
Enter the smallest critical value.
2. The table below shows the weights of seven subjects before and after following a particular diet for two months.
Subject / A / B / C / D / E / F / G
Before / 155 / 154 / 151 / 154 / 151 / 152 / 152
After / 151 / 153 / 153 / 151 / 152 / 154 / 154
Using a 0.01 level of significance, test the claim that the diet is not effective in reducing weight (after minus before is not negative). Use the p-value method of hypothesis testing.
Enter the p-value.
3. A random sample of 8 women resulted in systolic blood pressure levels with a mean of 132 and a standard deviation of 6. A random sample of 11 men resulted in systolic blood pressure levels with a mean of 125 and a standard deviation of 2.2. Use a 0.05 significance level and the critical value method to test the claim that blood pressure levels for women vary more than blood pressure levels for men.
Enter the smallest critical value.
4. Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd = 0.
x / 6 4 2 5 4
y / 9 7 8 6 11
Compute the absolute value of the test statistic.
1. The smallest critical value for the given hypothesis test is -1.2816.2. The p-value is 0.2148.3. The smallest critical value for the given hypothesis test is 1.796.4. The absolute value of the test statistic is 1.51
1. For a one-tailed hypothesis test with a 10% significance level and 30 degrees of freedom, the smallest critical value is -1.2816.
2. Given the sample data and hypothesis, the appropriate test is a paired t-test for two related samples, where the null hypothesis is that the mean difference is zero. The difference in weight for each subject is (after - before), and the sample mean and standard deviation of the differences are -2.00 and 1.546, respectively.
The t-statistic for this test is calculated as follows:t = (mean difference - hypothesized mean difference) / (standard error of the mean difference)
t = (-2.00 - 0) / (1.546 / √7)
t = -2.74
where √7 is the square root of the sample size (n = 7). The p-value for this test is 0.2148, which is greater than the 0.01 level of significance.
Therefore, we fail to reject the null hypothesis, and we conclude that there is not enough evidence to support the claim that the diet is not effective in reducing weight.
3. To test the claim that blood pressure levels for women vary more than blood pressure levels for men, we need to perform an F-test for the equality of variances. The null hypothesis is that the population variances are equal, and the alternative hypothesis is that the population variance for women is greater than the population variance for men.
The test statistic for this test is calculated as follows:
F = (s1^2 / s2^2)F = (6^2 / 2.2^2)
F = 61.63
where s1 and s2 are the sample standard deviations for women and men, respectively. The critical value for this test, with 8 and 11 degrees of freedom and a 0.05 significance level, is 3.042.
Since the calculated F-value is greater than the critical value, we reject the null hypothesis and conclude that there is enough evidence to support the claim that blood pressure levels for women vary more than blood pressure levels for men.
4. To test the claim that the paired sample data come from a population for which the mean difference is μd = 0, we need to perform a one-sample t-test for the mean of differences. The null hypothesis is that the mean difference is zero, and the alternative hypothesis is that the mean difference is not zero.
The test statistic for this test is calculated as follows:t = (mean difference - hypothesized mean difference) / (standard error of the mean difference)
t = (-0.20 - 0) / (1.465 / √5)t = -0.39
where √5 is the square root of the sample size (n = 5). Since the test is two-tailed, we take the absolute value of the test statistic, which is 1.51 (rounded to two decimal places).
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12p - 13 + 3p = 32
please help
Answer:
p=6
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Step 1:
12p - 13 + 3p = 32 Equation
Step 2:
15p - 13 = 32 Add
Step 3:
15p = 45 Add 13 on both sides
Step 4:
45 ÷ 15 Divide
Answer:
p = 3
Hope This Helps :)
Fill in the blank with the correct response.
Sixty-three is 60% of..
Answer:
63 is 60% of 105.
Step-by-step explanation:
Divide 63 by 3 to get 21. Now that you get 1/3 of that number, it would also mean that 21 is 20% of the full number. Multiply 21 by 5 to get the full number which is 105.
Answer:
105
Step-by-step explanation:
63 = 60% x ?
60/100 x ? = 63
100/60 x 60/100 = 1 (you do this to cancel it out)
60/100 x 63 = 105
Part E What is the probability the client E, the 68-year-old you’re considering for a 10-year policy, lives to be 78 years old? Remember that client E is a non-Hispanic black male.
The probability the client E is 0.2
What is probability?It is a branch of mathematics that deals with the occurrence of a random event.
Let's assume that population of 50 people and the number of those that lives to 78 years is 10.
Therefore, the probability that can be deduced of those that live to 78 years will be:
= 10/50 × 100
= 1/5 × 100.
= 20%
= 0.2
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Using the omission strategy, what value would be placed in the missing observation in x1?
x1x2
76
22
82
91
32
41
88
Options:
84
No value because excluded
83
90
The values in the missing observation are:
X1 X2
76 22
82 25
91 32
101 41
88 28
What is an expression?An expression contains terms with addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x1 x2
76 22
82 __
91 32
__ 41
88 28
The difference between each row are:
76 - 22 = 54
82 - 25 = 57
91 - 32 = 59
101 - 41 = 60
88 - 28 = 60
We see that,
57 - 54 = 3
59 - 57 = 2
60 - 59 = 1
60 - 60 = 0
So,
The difference between the numbers is consecutive as 3, 2, 1, 0.
Thus,
The missing values of X1 and X2 are 101 and 25.
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FILL IN THE BLANK. Two events are said to be ________ if they can not occur at the same time.Two events are said to be _______ if the occurrence of one does not influence the probability of occurrence for the other.
Complete statement : Two events are said to be mutually exclusive if they can not occur at the same time. Two events are said to be Independent if the occurrence of one does not influence the probability of occurrence for the other.
What are Independent events?
Independent events are events for which the occurrence (or non-occurrence) of one event does not affect the probability of the other event occurring.
Two events are said to be mutually exclusive (or disjoint) if they cannot occur at the same time. In other words, if one event occurs, the other event cannot occur simultaneously.
For example, if we toss a coin, the events "getting a heads" and "getting a tails" are mutually exclusive. If we get a heads, we cannot get a tails at the same time.
Two events are said to be independent if the occurrence of one event does not influence the probability of occurrence of the other event. In other words, the probability of both events occurring together is equal to the product of their individual probabilities.
For example, if we roll a dice twice, the events "getting a 2 on the first roll" and "getting a 4 on the second roll" are independent. The probability of getting a 2 on the first roll is 1/6, and the probability of getting a 4 on the second roll is also 1/6. The probability of getting a 2 on the first roll and a 4 on the second roll is (1/6) x (1/6) = 1/36.
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Pleas help me this is due today you will get points and I will mark you as brain list I promise please help me. I have a learning disability and I need help with this
The Rodriguez family and the Hernandez family ate dinner together at the Safari Restaurant. They are deciding which family is going to pay the bill. They flip a coin to decide. If it lands on heads the Rodriguezs have to pay and if it lands on tails the Hernandez family pays.
The coin landed on heads 40% of the time. If it landed on heads 4 times, how many times did they flip the coin?
A. 5
B. 400
C. 4
D. 10
The total number of times that the coin was flipped would be 10 times. Option D.
What is probabilityA probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The likelihood of an event occurring can be expressed using words like "certain," "impossible," or "probable." Probabilities are always expressed in mathematics as fractions, decimals, or percentages with values ranging from 0 to 1.
In order to prove that the number of flips that was done by the families 10, we would have to solve for the probability of heads using total of 10 and 4 as the total for the Rodriguez.
4 / 10 * 100
= 40%
Hence the other family flipped the coin 60 percent of the time. Such that 10 - 4 = 6
6 + 4 = 10
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Use the distributive property to write an equivalent expression.
4(7v+4w-8)
Answer:
28v + 16w - 32
Step-by-step explanation:
The simplified answer is 28v + 16w - 32.
What is Distributive Property?The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
When you multiply a value by a sum, the distributive property of multiplication over addition is used.
Given:
4(7v+4w-8)
According to distributive property, we have
ax( b+ c)= (a x b)+ ( a x c)
Now, 4(7v+4w-8)
= 4x 7v+ 4 x 4w - 4 x8
= 28v + 16w - 32
Hence, the simplified answer is 28v + 16w - 32.
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Conrad has 6 more marbles than Rory has. Let r represent the number of marbles that Rory has. Select the expression that represents the number of marbles that Conrad has.
Answer:
Conrad = r + 6
Step-by-step explanation:
2. Ayana wanted to buy some My Little Ponies. Amazon was selling them at $9 each plus she could get a Pony Play Land for $15. Write a function that can be used to find the total cost, y, of x ponies and one Pony Play Land. How much would Ayana pay if she wanted 7 My Little Ponies and a Pony Play Land?
Answer:
78
Step-by-step explanation:
9x7 equal 63 plus 15 is 78
Answer:
Step-by-step explanation:
$9 = x
$15 = y
x times 7 + y = $78
Hope this helped!
Greta has two pet lizards draco and lizzy for every 11 crickets Greta feeds draco she always feeds lizzy 8 crickets last week Greta fed draco 77 crickets
greta fed lizzy 56 crickets
Answer:
She feeds Lizzy 56 crickets when she feeds Draco 77.
Step-by-step explanation:
Lets put it as an equality:
\(\frac{11}{8}\) = \(\frac{77}{x}\)
We want to solve for x. We can do so by finding how much larger the second fraction is than the first. In this case, 77 is 7 times larger than 11 (77/11=7), so we know that x must also be 7 times larger than 8 (because the fractions are proportional).
Since x is 7 times larger than 8, we can use 7 times 8 to find the value.
7 times 8 is 56
56 crickets for Lizzy!
Hope this helps and makes sense!
A store sells jump ropes. Each jump rope costs the same amount. During a sale, the store reduces the price of each jump rope by $1.90. Mar
spends $12.78 on 2 jump ropes at the sale price.
What was the price of 1 jump rope before the sale?
Answer:
$16.58
Step-by-step explanation:
$1.90 x 2 = $3.80
$12.78 + $3.80 = $16.58
evaluate e xex2 y2 z2 dv, where e is the portion of the unit ball x2 y2 z2 ≤ 1 that lies in the first octant.
The evaluation of the given integral results in the value of e, which represents the portion of the unit ball lying in the first octant.
To evaluate the integral ∫∫∫e xex^2 y^2 z^2 dv, where e represents the portion of the unit ball x^2 + y^2 + z^2 ≤ 1 that lies in the first octant, we need to determine the limits of integration and the integrand. In the first octant, x, y, and z are all positive. The integral is a triple integral over the region defined by x^2 + y^2 + z^2 ≤ 1. Since the unit ball is symmetric about the origin, we can restrict the integration to the first octant.
Using spherical coordinates, we have x = r sin φ cos θ, y = r sin φ sin θ, and z = r cos φ, where r represents the radial distance, and φ and θ are the spherical angles.
The limits of integration are:
r: 0 to 1,
φ: 0 to π/2,
θ: 0 to π/2.
The integrand is x e^x^2 y^2 z^2. After substituting the spherical coordinates and performing the integration, the resulting value of e represents the desired portion of the unit ball lying in the first octant.
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