Step-by-step explanation:
26-4=22
22/2 is 11
11+4=15
15+11=26
So Sarahs age is 15 and Joe's in 11.
Answer:
Joe = 11 y/o, Sarah = 15 y/o
Step-by-step explanation:
Equation: x+(x+4) = 26
Combined ages: 2x+4=26
2x=22
x=11
So, Joe is 11.
Sarah's age: 11+4
So, Joe is 11 and Sarah is 15.
what is the correct leaf unit if the 1st observation in a dataset was 0.014, assume values rounded to 3rd decimal?
Answer:
4
Step-by-step explanation:
You want to know the leaf unit corresponding to data value 0.014 when values are rounded to thousandths.
Leaf unitThe leaf unit for data values in a stem-and-leaf plot is the least-significant digit of the data value, when all data values are expressed to the same precision.
The least significant digit of 0.014 is 4. The leaf unit is 4.
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An equation is given.
2x = 26
which calculation would need to be done to solve the equation?
a. divide both sides by 2
b. divide both sides by 26
c. multiply both sides by 2
d. multiply both sides by 26
Answer:
option A is correct answer
divide both sides with 2
hope it helps
Answer:
option A is the right condition to be fulfilled to solve the equation.
after 5 years, sammy has $7500 left on his student loans. with an interest rate of 8%, how much did sammy take out originally to fund his education?
Answer:
Step-by-step explanation:
I honestly am not sure, but I think it's 93,750
Omar has a goal of walking 9,000 steps in one day. He has already walked 4,250 steps. You want to know how many more steps he needs to take. If you use the equation n+4,250=9,000 to solve this problem, what does n represent?
Answer:
n=4750
n+ 4250=9000
-4250= 4250
n= 4750
Answer:
Step-by-step explanation:
idea
For what values of x is x2-36=5x true? -9 and -4 -4 and 9 4 and -9 9 and 4.
Answer: -4 and 9
Step-by-step explanation:
at (15, 2.5), will k(s, w) be decreasing more rapidly when w increases or when s decreases?
The statement is false. When s decreases, k(s, w) will decrease more rapidly than when w increases.
Let's discuss it further below.
How do you prove that k(s, w) decreases more rapidly when s decreases than when w increases?
Let's break it down into three stages:
1. A relationship between s and k(s, w) can be created by considering a fixed w value. k(s, w) decreases as s decreases.
2. A relationship between w and k(s, w) can be created by considering a fixed s value. k(s, w) increases as w increases.
3. If s decreases and w increases simultaneously, the net effect on k(s, w) is determined by comparing the effect of each variation on k(s, w).
The effect of decreasing s on k(s, w) is to decrease it. When w increases, the effect on k(s, w) is to increase it. The impact of a combination of s decreasing and w increasing on k(s, w) is determined by comparing the effect of each variation on k(s, w).
Therefore, when s decreases and w increases, k(s, w) decreases more rapidly.
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(a) You are given that two solutions of the homogeneous Euler-Cauchy equation, 22 2 (le yle)) – 2y(a) = 0, 2>0. ( are y1 =T and y2 22 Confirm the linear independence of your two solutions (for 2 > 0
To confirm the linear independence of the given solutions, we need to show that no non-trivial linear combination of the two solutions can yield a zero solution. Let's assume that there exist constants c1 and c2 such that c1T + c2(2^2) = 0 for all values of x in the given domain.
Since T^2 is never zero for all values of x in the given domain, we can conclude that c1 + 4c2 = 0 for the given assumption to hold. However, this contradicts our assumption that c1 and c2 are non-zero constants. Therefore, we can conclude that the given solutions (T and 2^2) are linearly independent for 2 > 0.
Given the homogeneous Euler-Cauchy equation:
x^2 * y''(x) - 2 * y'(x) = 0, x > 0
with two solutions y1 = x and y2 = x^2.
To confirm the linear independence of y1 and y2, we can use the Wronskian test. The Wronskian is defined as:
W(y1, y2) = | y1 y2 |
| y1' y2' |
First, let's find the derivatives of y1 and y2:
y1'(x) = 1
y2'(x) = 2 * x
Now, we can compute the Wronskian:
W(y1, y2) = | x x^2 |
| 1 2*x |
W(y1, y2) = (x * 2*x) - (x^2 * 1) = 2x^2 - x^2 = x^2
Since W(y1, y2) = x^2 ≠ 0 for x > 0, we can conclude that the given solutions y1 and y2 are linearly independent.
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Find the value of x.
Round to the nearest tenth.
B
29
26
X
Α'
C
50
x = [?]°
Law of Cosines: c² = a² + b² - 2ab cos C
Please Help
The measure of the missing angle x is 23.22 degrees
Cosine ruleThe expression for representing cosine rule is expressed as:
c² = a² + b² - 2ab cos C
Given the following parameters
a = 26
b = 50
c = 29
Substitute
c² = a² + b² - 2ab cos C
29² = 26² + 50² - 2(26)(50) cos C
841 = 676 + 2500 - 2600cosC
2335 =2600cos C
cos C = 2335/2660
C = 23.22 degrees
Hence the measure of the missing angle x is 23.22 degrees
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Answer:
23.2 is the correct answer given you need to round to the nearest tenth.
When a willow tree was planted it was 24 inches tall. Three years later, the tree was 54 inches tall. How many inches per year is the willow tree growing on average?
Answer:
On average 10 inches
Step-by-step explanation:
1st= 24 inches
2nd= 34 inches
3rd= 44 inches
4th= 54 inches
given triangle abc, how many possible triangles can be formed for the following conditions: ab = 37cm, ac = 26cm, angle b = 32.5°
Given the lengths of the two sides and the angle between them, only one triangle can be created under the given circumstances.
1. Given that angle B is 32.5°, side AB is 37 cm, side AC is 26 cm, etc.
2. Calculate side BC using the Law of Cosines:
BC = (2(AB)(AC)cosB) + (AB)(AC)2
3. Input the values that are known: BC = (37 2 + 26 2 - 2(37)(26)cos32.5°)
4. Condense: BC = (1369 plus 676 minus 1848 cos 32.5 °)
5. Determine BC =. (2095 - 1539.07)
6. Condense: BC = 556.93
7. Determine BC as 23.701 cm.
8. Since the lengths of the two sides and the angle between them are specified, only one triangle can be formed under the current circumstances.
By applying the Law of Cosines, we can determine the length of the third side, BC, given that side AB is 37 cm, side AC is 26 cm, and angle B is 32.5°. In order to perform this, we must first determine the cosine of angle B, which comes out to be 32.5°. Then, we enter this value, together with the lengths of AB and AC, into the Law of Cosines equation to obtain BC.BC = (AB2 + AC2 - 2(AB)(AC)cosB) is the equation. BC is then calculated by plugging in the known variables to obtain (37 + 26 - 2(37)(26)cos32.5°). By condensing this formula, we arrive at BC = (1369 + 676 - 1848cos32.5°). Then, we calculate BC as BC = (2095 - 1539.07), and finally, we simplify to obtain BC = 556.93. Finally, we determine that BC is 23.701 cm. Given the lengths of the two sides and the angle between them.
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find the value of 1/2 divide by 1/3
Answer:
1.5
Step-by-step explanation:
its 1.5 not 1/5
Answer: I am pretty sure it's 1.5
the product nn of three positive integers is 6 times their sum, and one of the integers is the sum of the other two. find the sum of all possible values of nn.
The sum of all possible values of N is 336.
What is an integer?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.
Here, we have
Let the three integers be a, b, and c.
N = abc = 6(a + b + c) and c = a + b.
Then N = ab(a + b) = 6(a + b + a + b) = 12(a + b).
Since a and b are positive, ab = 12
so {a, b} is one of {1, 12}, {2, 6}, {3, 4}
a + b is one of 13, 8, 7
N is one of 12× 13 = 156, 12× 8 = 96, 12×7 = 84
156 + 96 + 84 = 336.
Hence, the sum of all possible values of N is 336.
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Write the sentence as an inequality.
The sum of a number y and 9 is at least -1.
y +9 >= -1
Sum of a number(y) and 9. Is greater than or equal to negative one. Sum means add, so add y, and 9. It has to be atleast negative one, so greater than (0,1,2,3...), or equal to(-1).
Hope this helps, if you have more questions, feel free to ask.
The sum of a number y and 9 is at least -1 as an inequality is y + 9 ≥ 1.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An expression,
The sum of a number y and 9 is at least -1.
To find the number in the numerator form,
The sum of y and 9,
y + 9
And the value is at least -1.
So,
y + 9 ≥ 1
Therefore, the inequality is y + 9 ≥ 1
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stream back door by stray kids
Answer:
Okay
Step-by-step explanation:
Answer:
Okay Stay. I will stream it. Nice to meet you. I am Nancy.
Ms. Lauren Alexander, supply chain manager of ACR, Inc., is negotiating a contract to buy 25,000 units of a common component from a global supplier. Ms. Alexander conducted a thorough cost analysis on manufacturing the part in-house and determined that she would need $450,000 in capital equipment and incur a variable cost of $19.00 per unit to manufacture the part in-house. There is no fixed cost in purchasing the component from the supplier. What is the maximum purchase price per unit of component that Ms. Alexander should negotiate with her supplier?
The maximum purchase price per unit of the component that Ms. Alexander should negotiate with her supplier is $19.00, which is equal to the variable cost per unit to manufacture the part in-house.
In this scenario, Ms. Alexander needs to determine the maximum price per unit that she should be willing to pay the supplier for the component. She conducted a cost analysis and found that manufacturing the part in-house would require $450,000 in capital equipment and have a variable cost of $19.00 per unit.
Since there is no fixed cost associated with purchasing the component from the supplier, the maximum purchase price per unit should not exceed the variable cost per unit of manufacturing in-house. This ensures that the company does not incur additional costs by outsourcing the component.
Therefore, Ms. Alexander should negotiate a price with the supplier that is equal to or lower than the variable cost per unit, which is $19.00. By doing so, the company can avoid the initial capital investment and ongoing variable costs associated with in-house production, making it more cost-effective to purchase the component from the supplier.
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the line y=4x+5 is parallel to the line 2y=kx-6.find the value of k
Candice had $9,420 in a savings account with simple interest. She had opened the account
with $9,000 just 4 months earlier. What was the interest rate?
Given the arithmetic sequence shown below, write a recursive rule for the sequence. -4,4,12, 20,
We can see that the difference is 8 so we can write:
\(a_n=a_{n-1}+8\)
Select all the expressions that equal -1-(-7)
A. 1-7
B. 7-1
C. 1+7
D. -1+7
To find the unit rate for StartFraction 182 dollars Over 14 feet EndFraction,
a. divide both 182 and 14 by 14.
b. multiply both 182 and 14 by 14.
c. divide both 182 and 14 by 182.
d. multiply both 14 and 182 by 182.
To find the unit rate for Start Fraction 182 dollars Over 14 feet End Fraction,
c. divide both 182 and 14 by 182.
A fraction is a mathematical concept that refers to a component of a whole or, more broadly, any number of equal parts.
An element of the whole is a fraction. The number is shown as a quotient in mathematics, where the numerator and denominator are split.Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction.
Step 1: Divide 182 by 182
182 / 182 = 1
Step 2: Divide 14 by 182
14 / 182 = 0.07660818713450292
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Juana tiene en su tienda un costal con 28 libras de azucar.Hizo seis paquetes de 2,5 kg cada uno, de los cuales vendio cinco.¿Cuanta azucar quedo en el costal?
Answer:
Quedan 3 libras de azúcar en el costal.
Step-by-step explanation:
Una kilo es aproximadamente dos libras y dos libras y media equivalen a un paquete, para determinar la cantidad remanente de libras de azúcar luego de las ventas se calcula la masa vendida por regla de tres compuesta:
\(x = 5\,p \times \frac{2,5\,kg}{1\,p}\times \frac{2\,lb}{1\,kg}\)
\(x = 25\,lb\)
Juana vendió 25 libras de azúcar. Entonces, la masa remanente de azúcar en el costal es:
\(x = 28\,lb-25\,lb\)
\(x = 3\,lb\)
Quedan 3 libras de azúcar en el costal.
The total amount of sugar left in the sack is 3 pounds.
Using the conversion:
1 kg = 2lb
2.5kg =5lb
If she sold 5 pounds out of the total package, the amount of pounds sold will be 5 * 5lb = 25lb.Amount of sugar left in the sack = Total - amount sold
Amount of sugar left in the sack = 28lb - 25lb
Amount of sugar left in the sack = 3lb
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what is the formula for the perimeter of a triangle?
Side 1 + side 2 + side 3
E.g.
2 + 4 + 3 = 9
Have a luvely day!
Suppose you are the manager of a firm. The accounting department has provided cost estimates, and the sales department sales estimates, on a new product. Analyze the data they give you, shown below, determine what it will take to break even, and decide whether to go ahead with production of the new product. Cost is C(x) = 135x + 55, 620 and revenue is R(x) = 180x; no more than 2097 units can be sold. The break-even quantity is _____ units, which is than the number of units that can be sold, so the firm produce the product because it would money.
Answer: To determine the break-even quantity, we need to find the point where the revenue equals the cost. In other words, we need to solve the equation R(x) = C(x).
Given:
Cost function: C(x) = 135x + 55,620Revenue function: R(x) = 180xMaximum units that can be sold: 2097Setting R(x) = C(x), we have:
180x = 135x + 55,620Subtracting 135x from both sides of the equation:
180x - 135x = 55,620Simplifying the left side:
45x = 55,620Dividing both sides by 45:
x = 1,236The break-even quantity is 1,236 units.
Since the break-even quantity (1,236 units) is less than the maximum number of units that can be sold (2,097 units), the firm can produce the product because it would make money.
To determine the break-even quantity and decide whether to proceed with the production of the new product, we need to analyze the cost and revenue data provided.
The cost function is given as C(x) = 135x + 55,620, where x represents the quantity of units produced. The revenue function is given as R(x) = 180x. To break even, the total cost and total revenue should be equal. We can set up an equation based on this condition: C(x) = R(x). Substituting the given cost and revenue functions: 135x + 55,620 = 180x
To solve for x, we can subtract 135x from both sides: 55,620 = 45x. Now, divide both sides by 45: x = 1,236. The break-even quantity is 1,236 units.
Since the number of units that can be sold is no more than 2,097 units, which is greater than the break-even quantity of 1,236 units, the firm can produce the product. The break-even point indicates the minimum number of units that need to be sold to cover the costs, and since the firm can sell more than the break-even quantity, it has the potential to make a profit. However, further analysis of other factors such as market demand, competition, and potential profitability should also be considered before making a final decision.
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the f statistic in a multiple regression is significant if at least one of the predictors has a significant t statistic at a given α.truefalse
False. The F statistic in multiple regression is a test of overall significance and tests the null hypothesis that all regression coefficients in the model are equal to zero.
It measures whether the regression model as a whole explains a significant amount of variance in the dependent variable.
The significance of the F statistic indicates whether there is sufficient evidence to reject the null hypothesis and conclude that at least one of the independent variables is a significant predictor of the dependent variable.
On the other hand, the t statistic tests the individual significance of each independent variable in the model and determines whether the regression coefficient for that variable is significantly different from zero, holding all other variables constant.
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How can you use the distributive property to rewrite a quadratic expression in order to reveal its factors and zeros
Answer:
(x-rooot1)(x-root2)
Step-by-step explanation:
a quadratic ax²+bx+c=0 can be factor as those 2 pharanthesis
(x-rooot1) (x-root2)=0
and you can find the roots by making each parenthesis equal to 0 because of the zero product rule
x-root1 = 0, x=root1
x-root2 =0, x=root2
what should be added m(m-n) to get square ofm(m-n)
Answer: m²-mn
Explanation: multiply the letter outside the brackets by everything inside the brackets, so, m×m = m² and m×n = mn, altogether it is m²-mn.
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = 1 3 π r 2 h
Answer:
Step-by-step explanation:
What is the value of x?
Triangle V P M. Angle V is 47 degrees, angle P is 85 degrees, and angle M is x degrees.
degrees
Answer:
48
Step-by-step explanation:
I know I'm super late, so so sorry but for another in the future, it's 48
Answer:
48
Step-by-step explanation:
Let an = 5n/4n + 1 Determine whether {an) is convergent. convergent divergent
To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.
First, let's rewrite the expression for the nth term of the sequence:
an = 5n / (4n + 1)
As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:
an ≈ n / (4n + 1)
Now, we can consider the limit of the sequence as n approaches infinity:
lim(n→∞) n / (4n + 1)
To evaluate this limit, we can divide both the numerator and denominator by n:
lim(n→∞) (1 / 4 + 1/n)
As n approaches infinity, the term 1/n approaches zero, leaving us with:
lim(n→∞) 1 / 4 = 1/4
Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.
In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.
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ASAP simplify 2(3^5)/ 3 ^-2
Answer:
\((3^{5})^{2}\) ÷ \(3^{-2}\) =
= \(\frac{243^2}{3^{-2} }\)
= \(\frac{59049}{3^{-2} }\)
=\(\frac{59049}{\frac{1}{9} }\)
=531441