Answer:
87.375
Step-by-step explanation:
Answer:
699/8 or 87.375
Step-by-step explanation:
Assuming 12 5/8+ 12 3/4+ 12 7/8+ 13+ 13 1/8 are mixed numbers.
in triangle pqr and triangle xyz, PQ=XY. QR=YZ, ext angle PQM=ext angle XYN. Prove that triangle PQR congruent to triangle XYZ
Consider a single spin of the spinner. a spinner contains 4 equal sections: 1, 2, 4 and 3. sections 1 and 4 are shaded. the spinner is pointed at number 2. which events are mutually exclusive? select two options.
The two mutually exclusive events where we have a spinner with 4 sections: 1, 2, 4, and 3, where sections 1 and 4 are shaded and the spinner is pointed at number 2 are: Selecting a shaded section (1 or 4)
and Selecting an unshaded section (2 or 3)
The term "mutually exclusive" refers to events that cannot occur at the same time.
To determine which events are mutually exclusive, we need to consider the possibilities:
1. Selecting a shaded section (1 or 4): This event is mutually exclusive with selecting an unshaded section (2 or 3). The two options cannot happen simultaneously.
2. Selecting an unshaded section (2 or 3): This event is mutually exclusive with selecting a shaded section (1 or 4). Again, these two options cannot occur at the same time.
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7481x290 please help me its my hw due tommorow help me out. please
Answer:
2,169,490
Step-by-step explanation:
Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound
To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown
below.
3.40+0.85x=5.27
0.85X= 8.67
X= 10.2 pounds
Where, if anywhere, did Carina make an error?
Answer:
Carina made an error in the beginning.
Step-by-step explanation:
Carina didn't do the inverse operation of adding 3.40. She added it to the 5.27 when she shouldve subtracted it. x=2.2 lbs. Hope this helps!
Anwser ( C )
C: Carina should have divided 8.67 by 0.85.
Took the test. Hope this helps
classify the following random variables as Discrete or Continuous
1Shoe size
2foot length
3Students in a class
4distance travelled to school
5children per family
6the height of a horse
7the number of TV sets in a home
8time to complete a task
9the outdoor temperature at noon
10the speed of a car on route 3
BD = 21 m,
RC = 25 m.
DE = 40 m.
AB = ? m.
Find AB
Given:
Consider the given sides are,
\(BD=21m\)
\(BC=25m\)
\(DE=40m\)
\(AB=xm\)
To find:
The measure of AB.
Solution:
Let x be the measure of AB.
From the given figure it is clear that,
\(\angle ADE \cong \angle ABC\) (Right angles)
\(\angle ADE \cong \angle ABC\) (Corresponding angles)
Two corresponding angles are congruent. So, by AA property of similarity,
\(\Delta ABC\sim \Delta ADE\)
Corresponding sides of similar triangle are proportional.
\(\dfrac{AB}{BC}=\dfrac{AD}{DE}\)
\(\dfrac{x}{25}=\dfrac{(x+21)}{40}\)
\(40x=25(x+21)\)
\(40x=25x+525\)
Isolating x, we get
\(40x-25x=525\)
\(15x=525\)
\(x=\dfrac{525}{15}\)
\(x=35\)
Therefore, the measure of AB is 35 m.
The bank requires a minimum of $50 in the savings account.
it does not matter how much money is kept in the checking account
x represents the amount of money in the checking account and y represents the amount of money in the savings account.
what solution to the inequality?
Answer:
y≥50
(y is greater than or equal to 50 dollars)
Step-by-step explanation:
We don't need X as the amount in the checking account doesn't matter, so and Y must be equal to or greater than 50, so the answer is y≥50
A fitness trainer sets the incline on a
treadmill to 7º. The walking surface is 5
feet (60 inches) long. Approximately how
many inches did the trainer raise the
end of the treadmill from the floor?
Answer:
Step-by-step explanation:
sin Ф equal the opposite leg of the triangle dividend by the hypotenuse
sin Ф = opp / hyp
the problem gave you the Ф (the angle 7°)
and the length of the hypotenuse (the walking surface 60 inches)
You want to use the inches since the question wants to know how many inches off the floor is the end of the walking surface
sin 7 = opp / 60 solve for opp
60 × sin(7) = opp use your calculator, I don't have one handy
a high school gym teacher records how much time each student requires to complete a one-mile run. this is an example of measuring a continuous variable. (60.) true false
True, recording the time it takes for each student to complete a one-mile run is an example of measuring a continuous variable.
A continuous variable is a variable that can take on any value within a given range, without any gaps or interruptions. In the case of measuring the time it takes for students to complete a one-mile run, the time can vary from student to student and can take on any value within a continuous range, such as 4.52 minutes, 6.25 minutes, or 8.87 minutes, without any gaps or interruptions.
The time it takes for each student to complete the run can be measured with precision using a stopwatch or a timer, and it can be recorded as a decimal or a fraction, indicating the exact amount of time taken.
Therefore, recording the time it takes for each student to complete a one-mile run is an example of measuring a continuous variable
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A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag,
find the probability that a blue marble will be drawn.
Answer:
3/14
Step-by-step explanation:
The probability of drawing a blue marble can be found by dividing the number of blue marbles by the total number of marbles in the bag.
The total number of marbles in the bag is:
4 (red) + 3 (blue) + 7 (green) = 14
The number of blue marbles is 3.
So, the probability of drawing a blue marble is:
3/14
Answer:
Step-by-step explanation: d
Complete the following equation <, >, or = 3.20_ 3.02
Answer:
Step-by-step explanation:
Complete the following equation using , or = 3.20 ___ 3.02 A.
The following equation 3.20 > 3.02
Stacy earned 11 bonus points. Linda earned b more bonus points than Stacy. Write an expression that shows how many bonus points Linda earned?
Answer:
B+11
Step-by-step explanation:
Since linda earned more, that means it would be an addition problem.
Answer:
Linda earn 11+b points
Which of the following statements is true?
1. In order to use x2 procedures, each expected cell value of a one- or two-way
table must contain a value of at least five.
11. In order to use x2 procedures, you must have at least five degrees of
freedom.
III. For a 5 X 6 two-way table, a x2 distribution would be based on 10 degrees
of freedom.
Answer:
I only
Step-by-step explanation:
just trust me bro
In order to use x2 procedures, each expected cell value of a one- or two-way table must contain a value of at least five. So, option (1) is correct.
What is the Chi-square table?"The Chi-Square distribution table is a table that shows the critical values of the Chi-Square distribution. To use the Chi-Square distribution table, you only need to know two values: The degrees of freedom for the Chi-Square test. The alpha level for the test (common choices are 0.01, 0.05, and 0.10)".
In the given statements,
We need to analyze which statement is true regarding the Chi-square table.
In order for the Chi-square test to be considered trustworthy, each cell of your expected contingency table must have a value of at least five.
Hence we can conclude that in order to use x2 procedures, each expected cell value of a one- or two-way table must contain a value of at least five. So, option (1) is correct.
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solve similar triangles
Answer:
22.5
Step-by-step explanation:
With similar triangles you don't have to solve for any angle, as both triangles are alike, just different sizes in the case. So 20/12 = 5/3 or 1.66, and the same for 27.5/16.5, so using that, we have 37.5/1.66 which is 22.5
If two angles are congruent, then they have the same measure.
Hypothesis:
Conclusion:
Hypothesis: If two angles are congruent.
Conclusion: Then they have the same measure.
The hypothesis states that if two angles are congruent, which means they are identical in shape and size, then the conclusion is that they have the same measure. In other words, when two angles are congruent, their measures are equal.
Angles are typically measured in degrees or radians. When we say that two angles are congruent, it implies that the measures of those angles are the same. This can be understood through the transitive property of congruence, which states that if two angles are congruent to a third angle, then they are congruent to each other.
For example, if angle A is congruent to angle B, and angle B is congruent to angle C, then it follows that angle A is congruent to angle C. This implies that the measures of angle A and angle C are equal, as congruent angles have the same measure.
In conclusion, the hypothesis that if two angles are congruent implies that they have the same measure is valid and supported by the principles of congruence and the transitive property.
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For which function is it true that y →- ∞ as x →∞
Answer:
y = -√(x - 6)
Step-by-step explanation:
The first choice on the left
y = -√(x - 6)
The larger x gets
the more negative y becomes
Rational functions are functions written as fractions. The correct function is \(y=-\sqrt{x-6}\)
Rational functionsRational functions are functions written as fractions.
According to the question, we are to select the function for which as y tends to minus infinity, x will tend to positive infinity.
For the function \(y=-\sqrt{x-6}\)
Substitute y = -∞ into the equation
\(-\infty=-\sqrt{x-6}\\\sqrt{x-6} = \infty\\x-6=\infty\\x=\infty+6\\x=\infty\)
Hence the correct function is \(y=-\sqrt{x-6}\)
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i need helppppppppppppppppppppppppppp
Answer: The answer is 4/5
Step-by-step explanation:
Add the numerators and keep the denominators the same:
2/5 + 2/5 = 4/5
Answer:
D) 4/5
Step-by-step explanation:
When adding fractions together all you have to do is add the numerators together, you leave the denominators alone. So 2+2=4 and then you leave the 5's alone. So it would then be 4/5.
Hope this helps!!!
Estimate 44 + 33 =
decimals
Answer:
My estimate is 70, but the answer towards 33 plus 44 is 77
Please correct me If i am wrong
Step-by-step explanation:
The line CD passes through the points C (2, -1) and D (1, 1). Which of the
following represents the equation of the line in Point-Slope Form?
Answer:
The equation of the straight line in point - slope form
y +1 = -2 ( x-2)
Step-by-step explanation:
Step(i):-
Given points are C( 2,-1) and D(1,1)
Slope of the line
\(m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-1)}{1-2} = \frac{2}{-1} = -2\)
m = -2
Step(ii):-
Equation of the straight line passing through the point ( 2,-1) and having slope
m =-2
y - y₁ = m ( x- x₁)
y - (-1) = -2 ( x-2)
y +1 = -2 ( x-2)
Final answer:-
The equation of the straight line
y +1 = -2 ( x-2)
_____ compare one quantity to 100.
A. Factors
B. Variables
C. Percents
D. Interest rates
Answer:
c
Step-by-step explanation:
please help i can give brainliest!!!
Answer:
medain:64
Q1:62
Q3:70
Step-by-step explanation:
the line in the middle of the box in the box plot is the medain which is over the number 65
Q1 is the first line of the box which is over 62 and Q3 is the 3rd one is 70.
(im a bit confused with the box plot part
Help please it will due soon
Answer:
x=50°
Step-by-step explanation:
Since a right triangle equals a total area of 180°
you have 40° given and since it is a right triangle you also have 90° given so all we have to do is add 40° + 90° = 130° subtract 130° - 180° which would give you 50°
Answer:
x= 50 °
Step-by-step explanation:
all angles of a triangles is equal to 180
x= 180° - (90° +40°)
x= 180° - 130°
x= 50°
Consider the following scenario describing the residents of Charlestown: The list pairs resident's ages with their zip codes.
Does this scenario represent a function?
Answer:
Step-by-step explanation:
the figure below shows a circle centre of radius 10 cm the chord PQ=16cm calculate the area of the shaded region
Step-by-step explanation:
OPQ originally forms a sector, the formula for sector is
\( \frac{x}{360} \pi {r}^{2} \)
where x is the degrees of rotation between the two radii.
We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that
\(16 = \sqrt{10 {}^{2} + 10 {}^{2} - 2(100) \times \cos(o) } \)
This isn't the standard formula, it's for this problem
\(16 = \sqrt{200 - 200 \times \cos(o) } \)
\(16 = \sqrt{200 - 200 \cos(o) } \)
\(256 = 200 - 200 \cos(o) \)
\(56 = - 200 \cos(o) \)
\( - \frac{7}{25} = \cos(o) \)
\( \cos {}^{ - 1} ( - \frac{7}{25} ) = \cos {}^{ - 1} ( \cos(o) ) \)
\(106.26 = o\)
So we found our angle of rotation, which is 106.26
Now, we do the sector formula.
\( \frac{106.26}{360} (100)\pi\)
\( \frac{10626}{360} \pi\)
is the area of sector.
Now let find the area of triangle, we can use Heron formula,
The area of a triangle is
\( \sqrt{s(s - a)(s - b)(s - c)} \)
where s is the semi-perimeter.
To find s, add all the side lengths up, 10,10,16 and divide it by 2.
Which is
\( \frac{36}{2} = 18\)
\( \sqrt{18(18 - 10)(18 - 10)(18 - 16)} \)
\( \sqrt{18(8)(8)(2)} \)
\( \sqrt{(36)(64)} \)
\(6 \times 8 = 48\)
So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get
\( \frac{10626}{360} - 48\)
Which is an approximate or
44.73
geometry homework lesson 10-4
The value of angle A is 43⁰.
The value of arc CE is 44⁰.
The value of angle C is 43⁰.
The value of angle ABE is 90⁰
What is the value of angle A?The value of angle A is calculated by applying the following formula as shown below;
∠A = ¹/₂ arc BD (intersecting chord theorem)
∠A = ¹/₂ x 86⁰
∠A = 43⁰
arc CE = 2 ∠mCBE
arc CE = 2 x 22
arc CE = 44⁰
∠A = ∠ C (vertical opposite angles are equal)
∠C = 43⁰
∠ABE = 90⁰
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A growing community increases its consumption of electricity per yr.
(a) If the community uses 1.1 billion units of electricity now, how much will it use from now? Round to the nearest tenth.
(b) Find the number of years (to the nearest year) it will take for the consumption to double.
(a) The community will use approximately 1.21449 billion units of electricity 5 years from now.
(b) It will take approximately 35 years for the consumption to double.
(a) To calculate the electricity consumption of the community 5 years from now, we need to apply the annual growth rate of 2% to the current consumption of 1.1 billion units.
The formula to calculate the future value with a constant growth rate is:
Future Value = Present Value * (1 + Growth Rate/100)^Number of Years
Let's calculate the future value:
Future Value = 1.1 billion * (1 + 2/100)⁵
Future Value = 1.1 billion * (1.02)⁵
Future Value ≈ 1.1 billion * 1.10408
Future Value ≈ 1.21449 billion
Therefore, the community will use approximately 1.21449 billion units of electricity 5 years from now.
(b) To find the number of years it will take for the consumption to double, we need to determine the time it takes for the initial consumption to increase by 100% or multiply by 2.
Let's set up the equation:
Future Value = Present Value * (1 + Growth Rate/100)^Number of Years
2 * Present Value = Present Value * (1 + 2/100)^Number of Years
Dividing both sides by Present Value:
2 = (1 + 2/100)^Number of Years
Taking the natural logarithm of both sides:
ln(2) = Number of Years * ln(1 + 2/100)
Number of Years = ln(2) / ln(1 + 2/100)
Using a calculator, we can determine the approximate value of Number of Years:
Number of Years ≈ 34.66
Therefore, it will take approximately 34.66 years for the consumption to double. Rounded to the nearest year, it will take about 35 years.
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Angie's Bake Shop makes birthday chocolate chip cookies that cost $2 each. Angie expects that 9% of the cookies will crack and be discarded. Angie wants a 65% markup on cost and produces 100 cookies. What should Angie price each cookie? (Round your answer to the nearest cent.) Price per cookie T 1 s
Angie should price each cookie at approximately $3.63.
Cost and desired markup must be taken into account when calculating the cookie price.
Cost per treat:
Each cookie costs $2.
Markup:
Angie wants a markup of 65% on the price. We divide the cost of each cookie by the markup percentage to determine the markup:
Markup = 2 * 0.65 = $1.30
All out cost per treat:
The sum of the cost per cookie and the markup amount is the total cost per cookie:
The anticipated amount of waste: $3.30
Angie anticipates that nine percent of the cookies will break and be thrown away. Hence, 91% of the treats will be sold.
Anticipated squander = 0.09
Cost per treat:
To find the cost per treat, we partition the absolute expense per treat by the level of treats that will be sold:
Cost per treat = Absolute expense/(1 - Anticipated squander)
Cost per treat = 3.30/(1 - 0.09)
Cost per treat = 3.30/0.91
Cost per treat ≈ $3.63 (adjusted to the closest penny)
Along these lines, Angie ought to value every treat at roughly $3.63.
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solve the equation 4x^3 + 32x^2 + 42x - 16 = 0, given that one root is equal to the sum of the other two roots
The solutions to the equation are x = -1, x = -8, and x = 1/2.
How to calculate the valueThe equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:
2x³ + 16x² + 21x - 8 = 0
We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:
(x + 1)(2x² + 15x - 8) = 0
We can then factor the quadratic 2x² + 15x - 8 by grouping to get:
(x + 8)(2x - 1) = 0
This gives us two more roots, x = -8 and x = 1/2.
Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.
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Indeterminate form [0^0]: Calculate the following limits using L'Hospital's Rule.
lim tanx^sinx
x-> 0+
With the way the problem is written on my homework, I'm not sure if it's (tanx)^sinx or tan(x^sinx). Answers to both methods would be helpful.
When interpreting the expression as \((tanx)^{(sinx)\), the limit using L'Hospital's Rule is -∞ as x approaches 0+. However, when interpreting the expression as\(tan(x^{sinx})\), the limit is not well-defined due to the indeterminate form of 0^0.
To calculate the limit using L'Hospital's Rule, let's consider both interpretations of the expression and find the limits for each case:
Case 1: lim\((tanx)^{(sinx)\) as x approaches 0+
Taking the natural logarithm of the expression, we have:
\(ln[(tanx)^{(sinx)}] = sinx * ln(tanx)\)
Now, we can rewrite the expression as:
\(lim [sinx * ln(tanx)]\)as x approaches 0+
Applying L'Hospital's Rule, we differentiate the numerator and denominator:
\(lim [(cosx * ln(tanx)) + (sinx * sec^{2}(x))] / (1 / tanx)\) as x approaches 0+
Simplifying the expression:
\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * tanx\) as x approaches 0+
\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * (sinx / cosx)\) as x approaches 0+
\(lim [(cosx * ln(tanx) + sinx * sec^{2}(x)) / cosx] * sinx\) as x approaches 0+
\(lim [ln(tanx) + (sinx / cosx) * sec^{2}(x)] * sinx\) as x approaches 0+
\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+
Since lim ln(tanx) as x approaches 0+ = -∞ and\(lim (tanx * sec^{2}(x))\) as x approaches 0+ = 0, we have:
\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+ = -∞
Therefore, the limit of \((tanx)^{(sinx)\) as x approaches 0+ using L'Hospital's Rule is -∞.
Case 2: lim\(tan(x^{sinx})\)as x approaches 0+
We can rewrite the expression as:
lim\(tan(x^{(sinx)})\) as x approaches 0+
This expression does not have an indeterminate form of \(0^0\), so we do not need to use L'Hospital's Rule. Instead, we can substitute x = 0 directly into the expression:
lim \(tan(0^{(sin0)})\) as x approaches 0+
lim\(tan(0^0)\)as x approaches 0+
The value of \(0^0\) is considered an indeterminate form, so we cannot determine its value directly. The limit in this case is not well-defined.
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Pls help asap!!! I need to solve for x for these three questions (39 , 41 and 43) PLS ASAP!!!
Answer: 39. x= 37, 41. x=7, 43. x = 29
Step-by-step explanation:
39. 2x + 4 + 2x - 9 + x = 180
5x - 5 = 180
5x=185
185/5
x=37
41. 90 + 8x - 1 + 4x+7 =180
8x-1+4x+7=90
12x+6=90
12x=84
84/12
x=7
36+x=2x+7
36=x+7
29=x
Hope this helps.
Answer:
Hope this helps