Answer:
15.8 or 15 4/5
Step-by-step explanation:
Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs is $ 465. What is the cost of one chair?
Answer:
$38.75
Step-by-step explanation:
$465/12=$38.75
write bicontional statement
The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.
What is the biconditional statement.The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.
This definition is commonly utilized to describe the characteristics of a rectangle when it comes to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.
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Write this definition as a biconditional statement.
A rectangle is a parallelogram with four right angles.
Find the surface area of a cylinder pls
The total surface area of the cylinder is 157 square feet.
Given the radius of the cylinder = 4 inches
height of the cylinder = 9 inches
Total surface area is calculated by the formula:
A = 2πr² + 2πh
A = 2 × 3.14 × 4² + 2 × 3.14 × 9
or, A = 157 square feet.
Therefore the total surface area of the cylinder is 157 square feet.
The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.
The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.
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Write out the algebraic expression of the ratio 15 to 23 subtracted by d
1. A refrigerator originally cost $795 refrigerator but it is currently on sale with a 20% discount. The sales tax is
9.75%. What is the final sale price after the discount and tax?
Answer:
1630.77
Step-by-step explanation:
795 * 20% = 159
159 divided 9.75% equals 1630.77
hope this helps :)
Is the answer 1479.20? Pic below
The expected profit for selling action movies is given as follows:
$15,583.20.
How to obtain the expected profit?The expected profit for selling action movies is obtained applying the proportions in the context of the problem.
The proportion of action movies on the last month is given as follows:
2150/(2150 + 1721 + 829 + 300) = 0.43.
Hence, out of 8000 movies, the expected number of action movies is given as follows:
0.43 x 8000 = 3440.
The expected profit for each movie is of $4.53, hence the expected profit for action movies is given as follows:
4.53 x 3440 = $15,583.20.
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hw to solve 6x-12/3+4=18/x
The two solutions of the equation:
(6x - 12)/3 + 4 = 18/x
Are x = 3 and x = -3
How to solve the equation?Here we have the following equation:
(6x - 12)/3 + 4 = 18/x
Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.
Now, let's start by simplifying the left side:
(6x - 12)/3+ 4 = 18/x
2x - 4 + 4 = 18/x
2x = 18/x
Now we can multiply both sides by x so we get:
2x^2 = 18
Now divide both sides by 2:
x^2 = 18/2
x^2 = 9
Finally, apply the square root in both sides:
√x^2 = ±√9
x = ±3
The two solutions are x = 3 and x = -3
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Use the figure at the right. If JK = 2x + 12 and NO = 14, what is the value of x?
Answer:
X=8
Step-by-step explanation:
JK would equal 28, since it basically is double the side of that triangle. So now we have the equation, 2x+12=28. Now we solve using inverse operation. 28-12=16 and then 16 divided by 2 is 8, so x=8.
The required simplified value of x is 8, for the given triangle.
What is the midpoint?A midpoint is a point on the line whose distance from both ends of the line is equal.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
The property of a triangle states that the line joining the midpoints of the two adjacent sides is equal to half of the third side.
So,
JK = 2NO
2x + 12 = 24
x = 16 / 2
x = 8
Thus, the required simplified value of x is 8, for the given triangle.
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what is volume and how is it measured?
Answer: Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. ... Volume is often quantified numerically using the SI derived unit, the cubic metre.
Step-by-step explanation:
SI unit: Cubic metre
Other units: Litre, fluid ounce, gallon, quart, pint, ...
In SI base units: 1 m3
Dimension: L3
Brainliest if correct Multiply 3/7 by 4/5
Answer:
Step-by-step explanation:
x1 / y1 times x2 / y2 where are two fractions
x1/y1 times x2/y2 = x1 times x2 / y1 times y2 = z1 / z2 z is a new fraction
fractions multiply like regular wholes number, which can also be represented in fractional form
Examples:
2/1 times 3/1 = 2x3 /1x1 6/1
10/2 x 18/3 = 180/6 now look at 10/2 = 5 18/3 = 6 5x6 = 30
5 x 6 = 30
Now apply to your fractions:
3/7 x 4/5 = 3x4 / 7x5
12/35
A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
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Bashir bought snacks for his team's practice. He bought a bag of apples for $2.91 and a 6-pack of juice bottles. The total cost before tax was $15.69. Write and solve an equation which can be used to determine j j, how much each bottle of juice costs.
An equation that can be used to determine j j, each bottle of juice costs 15.69 = 6j + 2.91
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Bashir bought snacks for his team's practice. He bought a bag of apples for $2.91 and a 6-pack of juice bottles.
The total cost before tax was $15.69.
An equation that can be used to determine j j, is how much each bottle of juice costs.
15.69 = 6j + 2.91
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40 POINTS! In ΔXYZ, ∠Y=90° and ∠X=34°. ∠ZWY=60° and XW=7.2. Find the length of ZY to the nearest 10th.
The length of ZY, given that in ΔXYZ, ∠Y = 90°, ∠X = 34°, ∠ZWY = 60° and XW = 7.2 is 8.2
How do i determine the length of ZY?The following data were obtained from the question:
Angle Y, ∠Y = 90°Angle X, ∠X = 34°Angle ZWY, ∠ZWY = 60° Length XW = 7.2 Length ZY =?From the attached photo, we shall obtain WY. This is show below:
Angle W = 60°Opposite = aAdjacent = WY = b =?Tan θ = opposite / adjacent
Tan 60 = a / b
Cross multiply
b × Tan 60 = a
Divide both sides by Tan 60
b = a / Tan 60
b = 0.6a
Finally, we shall determine the length of ZY. Details below:
Angle X = 34°b = 0.6aXW = 7.2Adjacent = XY = 7.2 + 0.6aOpposite = Length ZY = a =?Tan θ = opposite / adjacent
Tan 34 = a / 7.2 + 0.6a
Cross multiply
Tan 34 (7.2 + 0.6a) = a
4.9 + 0.4a = a
Collect like terms
4.9 = a - 0.4a
4.9 = 0.6a
Divide both sides by 0.6
a = 4.9 / 0.6
a = 8.2
Thus, we can conclude that the length of ZY is 8.2
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what is the distance between the points (4 3) and (1 -1) on the cordinate plane
Answer:
d = 5
Step-by-step explanation:
Distance formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
d = sqrt[(1-4)^2+(-1-3)^2]
d = 5
Answer:
5
Step-by-step explanation:
distance = square root of (1-4)^2 + (-1-3)^2
=> distance = square root of -3^2 + (-4)^2
=> distance = square root of 9 + 16
=> distance = square root of 25
=> distance = 5
1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p
show that both are commutative
Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
How to explain the commutative property.It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property
From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.
In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.
Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
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PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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a) A mechanical engineer conducted experiments to investigate the effect of four different types of boxes on compression strength (lb). The sample means from five experiments for each type of box were 650, 750, 700, 650 (unit: lb). Compute the SSTr.
b) In a single-factor ANOVA problem involving 5 populations, the total number of observations is 20, SSTr = 12 and SST = 20. What is the MSTr, MSE, and test statistic f.
a) To calculate SSTr, we need to first find the overall mean of the samples and then use it to calculate the sum of squares due to treatments (SSTr).
The overall mean of the samples can be found by adding up all the sample means and dividing by the number of samples:
Overall mean = (650 + 750 + 700 + 650) / 4 = 687.5
Next, we can calculate SSTr using the formula:
SSTr = n * (sample mean - overall mean)^2
where n is the number of observations in each sample. In this case, n = 5 for each sample.
So for the first sample, SSTr = 5 * (650 - 687.5)^2 = 5362.5
For the second sample, SSTr = 5 * (750 - 687.5)^2 = 14062.5
For the third sample, SSTr = 5 * (700 - 687.5)^2 = 3062.5
For the fourth sample, SSTr = 5 * (650 - 687.5)^2 = 5362.5
Therefore, the total SSTr is:
SSTr = 5362.5 + 14062.5 + 3062.5 + 5362.5 = 27750
b) The degrees of freedom (df) for SSTr is k-1 where k is the number of groups/populations, and df for SSE is N-k where N is the total number of observations.
df(SSTr) = k - 1 = 5 - 1 = 4
df(SSE) = N - k = 20 - 5 = 15
The mean square for treatments (MSTr) is calculated as:
MSTr = SSTr / df(SSTr) = 12 / 4 = 3
The mean square for error (MSE) is calculated as:
MSE = SSE / df(SSE) = (20 - 5) / 15 = 1
Finally, we can calculate the F-test statistic as:
F = MSTr / MSE = 3 / 1 = 3
Therefore, the MSTr is 3, the MSE is 1, and the F-test statistic is 3.
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can u help me with this but I rlly have to hurry my homework is on a timer and I don't know the answer
Angle 1 and 8 are congruent as corresponding angles; angles 5 and 8 forms a linear pair. Therefore, the answer is B.
Angle 1 and 5 are suplementary angles. They sum up to 180 degrees.
A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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+b4+c4 = 20² (b²+c²), prove
that A:45° or 135°
A is either 45° or 135°.
To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.
Using the distance formula, we have:
AB² = x₁² + y₁²
AC² = x₂² + y₂²
According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:
(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]
Expanding and simplifying the equation, we get:
x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)
This equation can be further simplified to:
(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)
Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.
In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.
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Polk Elementary School was putting on its annual fall carnival. The school was selling 10 tickets for $1.00 or 2 tickets for 254. Which is the better buy? Explain why.
The better buy is 10 tickets for $1.00.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Polk Elementary School was putting on its annual fall carnival.
The school was selling 10 tickets for $1.00 or 2 tickets for $0.254.
That means,
A). 10 tickets for $1.00 or
B). 2 tickets for $0.254.
So, 10 tickets for $1.3
Therefore, option A is a better choice.
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there are three numbers for the combination to the store safe the first number is 17 the other two numbers can be multiplied together to give a product of 24 what are all of the possibilities for other two number write your answers as multiplication equations and then write all the possible combination to the safe
1 x 24, 2 x 12, 3 x 8, and 4 x 6
17-1-24
17-2-12
17-3-8
17-4-6
Pls help I will mark
Answer:
C
Step-by-step explanation:
pls help look on the images
You graph >7 with an open dot to the right.
The inequalities ≤ and ≥ would have a closed dot on the number line.
a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".
s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".
t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".
What are inequality signsInequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:
Less than: <Greater than: >Less than or equal to: ≤Greater than or equal to: ≥These symbols are used in mathematical expressions and equations to compare values and express relationships between them.
Therefore, with a good understanding of inequality signs we conclude that:
On a graph, > 7 is with an open dot to the right.
Only the inequalities ≤ and ≥ would have a closed dot on the number line.
a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".
s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".
t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".
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Explain two attributes that a rectangle and a square have in common.
Answer:
All angles and opposite angle are equal;opposite sides are parallel.
Step-by-step explanation:
Answer:
they both have 4 sides and they both have paralell sides.
Step-by-step explanation:
procedures that help organize or describe data collected from a sample or a population are called . group of answer choices a. inferential statistics b. analytical variables c. dependent variables d. descriptive statistics
Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.
Hence, option D is correct answer.
Descriptive statistics and examples: what are they?Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).
The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.
Why do we utilise descriptive statistics?
In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.
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Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
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HELP ASAP PLEASE LEAVE SMALL EXPLANATION ITS DUE RLLY SOON
Answer:
1. y=3x-4
2. y=-3x+4
3. y= -1/3x+4
4. y= 1/3x-4
Step-by-step explanation:
1. slope= change in y/ change in x
slope= -1-(-4)/1-0=3
y=3x+b
-4=3(0)+b
b=-4
y=3x-4
2. slope=4-10/0-(-2)= -3
y=-3x+b
b=4
y=-3x+4
3. slope= -1/3
y=-1/3x+b
3= -1/3(3)+b
3= -1+b
b=4
y= -1/3x+4
4. y= 1/3x-4 (last one)
Given f of x is equal to the quantity x plus 3 end quantity over the quantity x squared minus 4 times x minus 21 end quantity and g(x) = log4x, evaluate (g – f)(8).
The numeric value of the subtraction function at x = 8 is given by:
(g - f)(8) = 0.5.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the input variable in the function by the desired value.
To find the subtraction function, we find the numeric value of each function, then subtract them, as follows:
(g - f)(8) = g(8) - f(8).
Function f(x) is defined as follows:
f(x) = (x + 3)/(x² - 4x - 21).
At x = 8, the numeric value is given as follows:
f(8) = (8 + 3)/(8² - 4(8) - 21) = 11/11 = 1.
Function g(x) is defined as follows:
g(x) = log4(x).
At x = 8, the numeric value is given as follows:
g(8) = log4(8) = 1.5, as 4^(1.5) = 8.
Hence the numeric value of the subtraction function is given by:
(g - f)(8) = g(8) - f(8) = 1.5 - 1 = 0.5.
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how to solve 36x-8y2 x is 3 y is -6