Answer:
I believe 70
Step-by-step explanation:
tom had 14 kilograms of candy. if he wanted to split the candy into 4 bags how much would be in each bag
Each bag would have3.5 kilograms of delicacy.
What are kilograms?Kilograms( kg) are a unit of dimension for mass or weight. It's the base unit of mass in the International System of Units( SI). One kilogram is defined as the mass of a particular cylinder made of platinum- iridium amalgamation, which is kept at the International Bureau of Weights and Measures in France. The kilogram is used to measure the mass of objects and is generally used in everyday life to measure the weight of effects like people, creatures, and food, as well as in scientific and artificial settings to measure the mass of chemicals, accoutrements, and ministry.
Given by the question.
Given by the question.
To split 14 kilograms of candy into 4 bags, you need to divide the total amount of candy by the number of bags:
14 kg ÷ 4 = 3.5 kg
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Which of the following is equal to g(x)
Answer:
the answer is B thats wat equals to g(x)
Answer:
2x or h(x)
Step-by-step explanation:
21 divided by 13,280 
Answer: 0.0015813253
Step-by-step explanation:
is you ment to say 14,280 divided by 21 then it would be 632.380952381
priya pours the same amount of orange juice every time she fills a glass. each glass she pours contains 212121 grams of sugar. 1. write an equation that represents how many grams of sugar (sss) are in some number of glasses of orange juice (ggg).
The grams of sugar (sss) are in some number of glasses of orange juice is 1060605 grams of sugar.
The equation that represents how many grams of sugar (sss) are in some number of glasses of orange juice (ggg) is SSS = 212121 * GGG.
Multiply the amount of sugar per glass (212121) by the number of glasses (GGG).
The result is the total amount of grams of sugar (SSS).
For example, if Priya pours 5 glasses of orange juice, the equation would be SSS = 212121 * 5 = 1060605 grams of sugar.
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Elias and niko are polishing the silver at the heritage museum. elias could polish all the silver himself in 40 minutes. that task would take niko 50 minutes to complete alone. which table is filled in correctly and could be used to determine how long it would take if elias and niko polished the silver together? a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has startfraction 1 over 40 endfraction, t, and startfraction 1 over 40 endfraction t. the second row shows niko and has, startfraction 1 over 50 endfraction, t, and startfraction 1 over 50 endfraction t. a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has r, startfraction 1 over 40 endfraction, and startfraction 1 over 40 endfraction r. the second row shows niko and has, r, startfraction 1 over 50 endfraction, and startfraction 1 over 50 endfraction r. a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has 40, t, and 40 t. the second row shows niko and has, 50, t, and 50 t . a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has r, 40, and 40 r. the second row shows niko and has, r 50, and 50 r .
The first table is filled correctly and can be used to determine how long it takes for Elias and Niko to polish the silver.
How to interpret Mathematical Tables?The first table is filled correctly and can be used to determine how long it takes for Elias and Niko to polish the silver.
The rate is the unit rate.
Now, since Elias polishes all of the silver himself in 40 minutes, his rate is 1/40.
Similarly, Niko’s rate would be 1/50.
Their time is the same because they are working at the same time, and as such we can write that as t. Then, the part of the silver polished would be the rate * time, or:
Thus;
Part polished by Elias: ¹/₄₀ * t
Part Polished by Niko: ¹/₅₀ * t
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4.06 Question 4
Which of the following points lie in the solution set to the following system of inequalities?
y < −3x + 3
y < x + 2
(1, −5)
(1, 5)
(5, 1)
(−1, 5)
Answer:
we have that
y < −3x + 3
y < x + 2
using a graph tool
see the attached figure
the answer is
the answer isThe point (1, −5) lie in the solution set
Find the measure of angle x. 217 ° х 103 160 O 320 57 O 114
Answer: 145
Step-by-step explanation:
check
Tyrone measured the floor of his rectangular storage unit. It is 3 feet wide and 8 feet from one corner to the opposite corner. How long is the storage unit? If necessary, round to the nearest tenth.
Answer:
Rounded to the nearest tenth, 7.4 feet long.
Step-by-step explanation:
Tyrone has a rectangular storage unit. We are given the width and the diagonal length.
So we can use Pythagorean Theorem.
3^2 + b^2 = 8^2
9 + b^2 = 64
subtract 9 from both sides
b^2 = 55
b = sqrt55
b is around 7.4161984871, so b rounded to the nearest tenth is 7.4 feet long.
"
Given u- 78.2 and o= 2 13, the datum 75.4 has z-score a) -0.62 b) - 1.31 c) 1.31 d) 0.62
"
The z-score of the datum 75.4 is approximately -1.31. Option b is the correct answer.
To calculate the z-score of the datum 75.4, we can use the formula: z = (X - μ) / σ, where X is the given value, μ is the mean, and σ is the standard deviation. Given that μ = 78.2 and σ = 2.13, we can substitute these values into the formula:
z = (75.4 - 78.2) / 2.13
Calculating this expression, we get:
z ≈ -1.31
Therefore, the z-score is approximately -1.31. Hence, option b is the correct naswer.
The z-score is a measure of how many standard deviations a particular data point is away from the mean. To calculate the z-score, we subtract the mean from the data point and divide the result by the standard deviation. In this case, the mean (μ) is 78.2 and the standard deviation (σ) is 2.13. By substituting these values into the z-score formula and performing the calculation, we find that the z-score for the datum 75.4 is approximately -1.31. This negative value indicates that the datum is about 1.31 standard deviations below the mean.
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There is a probablity of ____ that any individual at a random from
a population will fall (plus or minus) one standard deviation of
the mean.
Step-by-step explanation:
I hope this answer is helpful ):
Which CANNOT be the third side of a triangle with side lengths 4ft, and 6ft?
5ft
8ft
10ft
2ft
Answer:
2ft
Step-by-step explanation:
2ft is small than the other options.
Factor each completely.
5n^2 + 19n + 12
Answer:
Factor by grouping, (5n+4)(n+3), or alternatively, (n+3)(5n+4)
Answer:
(n +3)(5n + 4)
Step-by-step explanation:
5n^2 + 19n + 12
= 5n^2 + 15n + 4n + 12
= 5n(n + 3) + 4(n + 3)
= (n +3)(5n + 4)
Hence Factorized.
7. Let A = {a, b, c), B = {1, 2, 3, 4), and C = {w, x, y, z), and let R = {(a, 2), (b, 3), (b, 4), (c, 3)} and S = {(1, y), (1, z), (2, w), (3, z)}. What is the composition relation (RS) of R with S?
The composition relation (RS) of R with S is {(a, w), (b, z), (b, z), (c, z)}.
The composition relation (RS) of R with S is obtained by taking the pairs from R and S that have matching elements.
R = {(a, 2), (b, 3), (b, 4), (c, 3)}
S = {(1, y), (1, z), (2, w), (3, z)}
To obtain RS, we need to match the second element of each pair in R with the first element of each pair in S.
For the pair (a, 2) in R, we match the 2 with the second elements of pairs in S: (2, w). So we have (a, w).
For the pair (b, 3) in R, we match the 3 with the second elements of pairs in S: (3, z). So we have (b, z).
For the pair (b, 4) in R, we match the 4 with the second elements of pairs in S: (4, z). So we have (b, z).
For the pair (c, 3) in R, we match the 3 with the second elements of pairs in S: (3, z). So we have (c, z).
Putting it all together, the composition relation RS is:
RS = {(a, w), (b, z), (b, z), (c, z)}
Note that (b, z) appears twice in the composition relation because there are two pairs (b, 3) in R that match with (3, z) in S.
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18 students are going on a field trip the bus can fit 14 so four of them will have to ride in a car and how many ways can we choose the four students who must ride in the car
Answer:
Number of ways we can choose the four students who must ride in the car = 3060 ways
Step-by-step explanation:
This is a combination question.
The number of selections of "r" objects from the given "n" objects is denoted by;
C(n,r), and is given by;
C(n, r) = n!/[r!(n - r)!]
In this question, n = 18 and r = 4
Thus;
C(18, 4) = 18!/[4!(18 - 4)!]
C(18,4) = 3060
Number of ways we can choose the four students who must ride in the car = 3060 ways
Please answer this function !!!
Answer:
f(6)=-114Solution,
\(f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114\)
hope this helps.
Good luck on your assignment..
Answer:
-114
Step-by-step explanation:
To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.
f(x) = -4x + 5x
f(6) = -4(6) + 5(6)
f(6) = -4(36) + 30
f(6) = -144 + 30
f(6) = -114
The answer is -114.
question 9 a client makes loud vocal statements frequently. to collect data on this, you divide the session into shorter timed intervals. if the behavior occurs at any point during the interval, you record an occurrence. what kind of discontinuous measurement procedure are you using?
The kind of discontinuous measurement procedure that is used is partial interval recording
Given that,
A client frequently shouts things out loud. You break up the session into shorter timed segments in order to get data on this. You record an event if the behavior happens at any time throughout the interval.
To find : which discontinuous measuring technique are you employing?
An interval recording technique is partial interval recording. An interval recording approach involves watching to see if a behaviour happens or not within predetermined intervals of time. After determining the duration of an observation session, the time is divided into shorter segments that are all of the same length.
So, partial interval recording is the type of discontinuous measuring technique that is applied.
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To celebrate the Fourth of July, Mariana has invited some friends over for her famous grilled chicken. Mariana's secret is to use 6 fluid ounces of lemon-garlic marinade for every pound of chicken. If Mariana plans to grill 4 pounds of chicken, how many cups of marinade should she make?
Answer:
3 cups
Step-by-step explanation:
Find the equation of the quadratic given its real roots 2-√3 and 2+√3 which passes through the point (1, -2).
Step-by-step explanation:
the factors are x-2+sqrt(3) and x-2- sqrt(3)
the basic form of the quadratic is x^2-4x+1, multiplying those factors together (there are 9 terms)
y=a(x^2-4x+1) is the general form
-2=a(-2)
a=1
a=(2/11)
the equation is y=x^2-4x+1
(ii) Hence, given that 6log 3+7-3 log, a = 0, find the possible values of a.
Answer: Given that 6log3 + 7 - 3loga = 0, we can start by isolating the variable a. To do this, we'll add 3loga to both sides:
6log3 + 7 = 3loga
Next, we'll divide both sides by 3:
2log3 + (7/3) = loga
Now we have loga on one side of the equation and a constant on the other. To find the possible values of a, we'll need to use the properties of logarithms.
We know that logb(x) = y is equivalent to b^y = x, so we can rewrite the equation as:
a = 3^(2log3 + (7/3))
To find the possible values of a, we'll need to evaluate the exponent on the right side of the equation. Since we don't know the value of log3, we can't find the exact value of a. However, we can say that the possible values of a are all the values that can be expressed as 3 raised to the power of (2log3 + (7/3))
Step-by-step explanation:
Acellus Geometry Question in Picture. Helpppp BRAINLIEST FOR CORRECT ANSWER
Rotation clockwise about the origin 90 degrees , then reflect over the x axis
What is transformation?A transformation is a mapping or a function that changes the position, size, or shape of an object or image. In mathematics, transformations can refer to a variety of operations such as
translation, rotation, reflection, dilationThe transformation involved in the image is 90 degrees counterclockwise rotation and reflection over the x axis.
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Write a mathematical expression for the area of the triangle as a function of the length of the base. Use the letter x to represent the length of the base of the triangle. The base of an isosceles triangle is (1)/(4) as long as the legs
The mathematical expression for the area of the triangle as a function of the length of the base is;Area = xsqrt(3)
Given that the base of an isosceles triangle is 1/4 as long as the legs. Let us represent the length of the base as x. Since the triangle is isosceles, the length of each leg is 4x.Area of a triangle is given as;Area = 1/2 × base × heightWe can find the height of the triangle using Pythagoras theorem.For a right-angled triangle, if a and b are the lengths of the legs, and c is the length of the hypotenuse, then a² + b² = c²Let h be the height of the triangle, then we have;(4x/2)² + h² = (4x)²h² = (4x)² - (4x/2)²h² = 16x² - 4x²h² = 12x²h = sqrt(12x²)h = 2sqrt(3) * xWe can now find the area of the triangle by substituting the values of x and h in the formula for the area of the triangle.Area = 1/2 × x × 2sqrt(3) * xArea = xsqrt(3)Therefore, the mathematical expression for the area of the triangle as a function of the length of the base is;Area = xsqrt(3)
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A ceiling fan has 19-inch blades(so the radius of the circular fan is 19 inches). Suppose the dan turns at a rate of 69 revolutions per minute.
a) Find angular speed of the fan in radians per minute
b) Find the linear speed of the tip of a blade in inches per minute
Angular speed of the fan in radians per minute is 421 (crad /min) , The linear speed of the tip of a blade in inches per minute is
What the linear speed and angular speed?Suppose the dan turns at a rate of 69 revolutions per minute.
Angular speed of the fan in radians per minute is
According to the problem
w = 2zn
(a) w = 2z * 67
= 134z
≈ 421 crad /min)
Angular speed of the fan in radians per minute is 421 (crad /min)
The linear speed of the tip of a blade in inches per minute is
(b) v = 2z * 19 * 67
{ v = 2zrn}
=2546z
7988(cin / m * in)
The linear speed of the tip of a blade in inches per minute is 7988(cin / m * in)
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In ΔSTU, u = 340 inches, t = 620 inches and ∠T=110°. Find all possible values of ∠U, to the nearest degree.
One possible value of ∠U is 80° (to the nearest degree).
What is a triangle?A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed.
To find the possible values of ∠U, we can use the Law of Cosines:
c² = a² + b² - 2ab cos(C)
Where c is the side opposite the angle we want to find (∠U), a and b are the other two sides, and C is the angle opposite side c.
In this case, we want to find ∠U, so we'll use side u as c and sides t and s (which we don't know yet) as a and b, respectively:
u² = t² + s² - 2ts cos(U)
Substituting the given values, we get:
340² = 620² + s² - 2(620)(s)cos(U)
Simplifying:
115600 = 384400 + s² - 1240s cos(U)
Subtracting 384400 and rearranging:
s² - 1240s cos(U) + 268800 = 0
Now we can use the quadratic formula to solve for s:
s = [1240 cos(U) ± √(1240² cos²(U) - 4(1)(268800))]/(2)
Simplifying under the square root:
s = [1240 cos(U) ± √(1537600 cos²(U) - 1075200)]/(2)
s = [1240 cos(U) ± √(409600 cos²(U) + 1742400)]/(2)
s = [620 cos(U) ± √(102400 cos²(U) + 435600)]
Since s must be positive, we can discard the negative solution, and we have:
s = 620 cos(U) + √(102400 cos²(U) + 435600)
Now we can use the fact that the sum of angles in a triangle is 180° to find ∠U:
∠U = 180° - ∠T - ∠S
Since we know ∠T = 110°, we just need to find ∠S. We can use the Law of Sines to do this:
sin(S)/s = sin(T)/t
sin(S) = (s/t)sin(T)
Substituting the values we know:
sin(S) = (620 cos(U) + √(102400 cos²(U) + 435600))/620 * sin(110°)
sin(S) ≈ (1.481 cos(U) + 2.225)/6.959
Now we can use a calculator to find the arcsin of both sides to get ∠S:
∠S ≈ arcsin((1.481 cos(U) + 2.225)/6.959)
Finally, we can substitute the values we found for ∠S and ∠T into the equation we found earlier for ∠U:
∠U = 180° - 110° - arcsin((1.481 cos(U) + 2.225)/6.959)
Simplifying:
∠U = 70° - arcsin((1.481 cos(U) + 2.225)/6.959)
Now we can use trial and error or a graphing calculator to find the values of ∠U that satisfy this equation. One possible solution is:
∠U ≈ 80°
Therefore, one possible value of ∠U is 80° (to the nearest degree).
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Find the slope of the points (-10, -52)
and (-70, -32)
Answer:
Slope= -1/3
Step-by-step explanation:
The slope is found using (y₂ - y₁) / (x₂ - x₁)
(y₂ - y₁)
So let's do the numerator first with the y. -52-(-32). The two negative signs make 32 positive so -52 + 32= -20
(x₂ - x₁)
Now the denominator, x. -10-(-70). Same thing here, the two negative signs make 70 positive so -10 + 70 = 60
(y₂ - y₁) / (x₂ - x₁)
Now put them together so -20/60 which equals -1/3 which the slope
The cost of a car rental is $40 plus $0.18 per mile. You are on a budget of $67. Write and solve an inequality to find the greatest distance you can drive while staying within your budget.
Answer:
You can pay a maximum of $84.
formula is:
84 = 40 + .22*m
subtract 40 from both sides of this equation to get:
44 = .22*m
divide both sides of this equation by .22 to get:
44/.22 = m
simplify to get:
m = 200
you can go at most 2
I need help with points!!!!!!
Answer:
It's the red option.
Someone who wants to go camping in the spring starts to pack his backpack and this camper must pack three items: food, first-aid kits, and clothes. The backpack has a capacity of 9 ft 3. Each unit of food takes 2ft 3 . A first-aid kit occupies 1ft 3 , and each piece of cloth takes about 3ftt 3 . The hiker assigns the benefit of the items as 7, 5 , and 6 to food, first aid, and clothes, respectively, which means that foods are the most valuable of the three items. From experience, the hiker must take at least one unit of each item. How many of each item should the camper take?
The camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing within the given constraints.
To determine the optimal number of each item the camper should take, we need to maximize the total benefit while considering the capacity constraint of the backpack.
Let's assume the camper takes x units of food, y first-aid kits, and z pieces of clothing.
The backpack has a capacity of 9 ft^3, and each unit of food takes up 2 ft^3. Therefore, the constraint for food is 2x ≤ 9, which simplifies to x ≤ 4.5. Since x must be a whole number and the camper needs at least one unit of food, the camper can take a maximum of 3 units of food.
Similarly, for first-aid kits, since each kit occupies 1 ft^3 and the camper must take at least one, the constraint is y ≥ 1.
For clothing, each piece takes 3 ft^3, and the constraint is z ≤ (9 - 2x - y)/3.
Now, we need to maximize the total benefit. The benefit of food is assigned as 7, first aid as 5, and clothing as 6. The objective function is 7x + 5y + 6z.
Considering all the constraints, the possible combinations are:
- (x, y, z) = (3, 1, 0) with a total benefit of 7(3) + 5(1) + 6(0) = 26.
- (x, y, z) = (3, 1, 1) with a total benefit of 7(3) + 5(1) + 6(1) = 32.
- (x, y, z) = (4, 1, 0) with a total benefit of 7(4) + 5(1) + 6(0) = 39.
- (x, y, z) = (4, 1, 1) with a total benefit of 7(4) + 5(1) + 6(1) = 45.
Among these combinations, the highest total benefit is achieved when the camper takes 3 units of food, 1 first-aid kit, and 1 piece of clothing.
Therefore, the camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing to maximize the total benefit within the given constraints.
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Use the formula a=p(1 rn)nt to find the amount in a compound interest account after t years, compounded n times a year. mary deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. what was the amount in the account at the end of 10 years? round to the nearest dollar. $7,120 $6,769 $6,026 $5,872
Answer:
(b) $6,769
Step-by-step explanation:
The value in the account can be found by using the compound interest formula:
A = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
__
apply formulaUsing the given values in the formula, we have ...
P = 5600, r = 0.019, n = 4, t = 10
A = 5600(1 +0.019/4)^(4·10) = 5600×1.00475^40 ≈ 6768.752
The amount in the account at the end of 10 years was about $6,769.
_____
Additional comment
Any number of spreadsheets, calculators, or apps can find the future value (FV) for you. The attachment shows the use of a TI-84 calculator work-alike.
Dan was thinking of a number. Dan doubles it and gets an answer of 34.7. What was the original number?
Someone help and please make sure it’s right
Answer:
50 would be the correct response.
Step-by-step explanation:
The two interior angles are the sum of the exterior angle. 50 + 50 is 100, so 50 would be correct.