Answer:-6
Step-by-step explanation:
The value of f(5) is -6.
What is function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given function:
f(x)=-x-1
when x=5
f(5) = -5-1
f(5)=-6
Hence, value of f(5)=-6.
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the square root of 50
Answer:
The square root of 50 is approximately 7.07.
Answer:
7.07106781187...
Step-by-step explanation:
its an irrational number
2. Allison has 22 meters of fabric to sew dresses. She uses 3 meters of fabric for each
dress. After how many dresses will Allison need to buy more fabric?
Answer:
7
Step-by-step explanation:
Answer:7 meters
Step-by-step explanation:
3 doesn’t go into 22 equally, but it goes into 21
The diagonals of parallelogram ABCD intersect at P. Which statements must be true? Select all that apply.
The statements that will be true about parallelogram ABCD are: A, B, D, and E.
Properties of a Parallelogram -
Diagonals of a parallelogram bisect each other into congruent segments.
Opposite angles and sides of a parallelogram are always congruent.
Alternate interior angles are always congruent in measure.
Thus, the following would be true of parallelogram ABCD:
AP ≅ CP (congruent segment's of a bisected diagonal)
BC ≅ AD (congruent opposite sides)
∠CAD ≅ ∠ACB (congruent angles)
∠BPC ≅ ∠APD (congruent angles)
Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.
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On a trip to Florida, Santina drove 203 miles and Carole drove 189 miles. How many more miles did Santina drive than Carole?
A restaurant uses 80 pounds of potatoes per week. The restaurant owner buys the potatoes in 10-pound bags from a local farmer. How many bags will the owner need to buy this week?
Answer:
1. santina drove 14 more miles than carole
2. the owner will need to buy 8 bags this week
Step-by-step explanation:
1. 203-189= 14
2. if they use 80 pounds a week and can only buy 10 pounds in one bag, they'll need 8 bags to equal 80 pounds since each bag is 10 pounds
1. 14
2. 8
3. 48
4. 318
5. 23
6. 4
7. a) 10 b) 60 c) 8 d) 107
8. $1,532
9. 1
10. $15.50
11. .95
Step-by-step explanation:
One runner had a personal best time, and the other runner neither trained nor had a personal best time
While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.
In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.
The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.
On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.
In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.
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2. Given the situations below, Identify if it is a linear or exponential model or neither.
Explain your reasoning.
a. A savings account that starts with $5000 and receives a deposit of $825 per month.
Step-by-step explanation:
The situation described can be modeled using a linear equation, where the balance of the savings account increases by a fixed amount every month. Specifically, the equation that represents this situation is:
balance = $5000 + $825 * months
where "months" represents the number of months that have passed since the account was opened. The slope of this line is constant at $825, indicating that the balance is increasing by the same amount every month.
Therefore, the model for this situation is linear.
please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
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What is the value of each variable 45 h and 9
Answer:
How many variables?
Step-by-step explanation:
Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function. Vertex = (-7,6) Point = (-10,5)
The general form of the equation of the Quadratic function is y = (-1/9) x2-(14/9) x-43/9.
The general form of the equation of the Quadratic function is y = (-1/9) x2-(14/9) x-43/9.
The general form of the equation of a quadratic function given the vertex and a point on the graph, we can use the vertex form of the quadratic equation y = a( x- h) 2 k where( h, k) represents the vertex of the parabola. In this case, the vertex is(- 7, 6) and the point is(- 10, 5). We can substitute these values into the equation to get 5 = a(- 10-(- 7)) 2 6 Simplifying farther 5 = a(- 10 7) 2 6 5 = a(- 3) 2 6 5 = 9a 6 Now, we can break for' a' a = 5- 6 9a = -1 a = -1/ 9 Substituting this value back into the equation, we get y = (-1/9)( x-(- 7)) 2 6
Simplifying farther y = (-1/9)( x 7) 2 6 Expanding and rearranging, we can write the equation in general form y = (-1/9)( x2 14x 49) 6 y = (-1/9) x2-(14/9) x-49/9 6 y = (-1/9) x2-(14/9) x-43/9 So, the general form of the equation of the quadratic function is y = (-1/9) x2-(14/9) x-43/9.
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Look at the photo.(15 pts )
the manager of a furniture factory that operates a morning and evening shift seven days a week wants to forecast the number of chairs its factory workers will produce on a given day and shift. the production manager gathers chair production data from the factory and lists whether the production day was a weekday or a weekend (i.e., saturday or sunday), and whether the shift was in the morning or evening.
This type of data can be analyzed using a two-way analysis of variance (ANOVA) to determine the effect of both the day of the week (weekday or weekend) and the shift (morning or evening) on chair production. The manager can use this information to make predictions about future production based on the day of the week and shift.
The manager can start by creating a table to show the average number of chairs produced on each day of the week and shift. Then, a two-way ANOVA can be performed to determine if there is a significant difference in the mean number of chairs produced between weekdays and weekends, and between morning and evening shifts.
If the results of the ANOVA show that there is a significant effect of the day of the week and/or the shift on chair production, the manager can use this information to make more accurate predictions about future chair production. For example, if the results show that chair production is higher on weekdays compared to weekends, the manager can make predictions based on this information and allocate resources accordingly.
It is important to note that other factors such as the availability of materials, number of workers, and machine downtime can also impact chair production and should be considered when making predictions.
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Is 721 ft above sea level positive, zero,negative ?
Answer:
Well it is ABOVE sea level, so its positive.
Sea level would be considered zero, and if it was below sea level it would be considered negative.
I hope this helped you ♥ ♥
A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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how do you write 8,000,000+300+9 in standard form
Answer:
8000309
Step-by-step explanation:
If you roll a die, what is the probability of not
rolling a 4? Write your answer as a fraction.
Step-by-step explanation:
NOT rolling a four means out of six posssible rols you can roll a 1.2.3.5 or 6
or 5 / 6
In a study of bird migration, a researcher
recorded on a certain day a total of 262
birds, consisting of 65 geese, 84 ducks,
and 113 robins in the skies. Show
a possible equation for calculating the
probability that a random bird chosen
from among these is NOT a duck.
The probability that a random bird chosen from among these is NOT a duck is 0.67
Given the total number of birds = 262
No of geese = 65
No of ducks = 84
No of robins = 113
We need to find the probability that a random bird chosen from among these is not a duck is
P ( not a duck ) = (total number of birds - no of ducks) / total number of birds
= 262 - 84 / 262
= 178 / 262
= 0.67
The probability that a random bird chosen from among these is NOT a duck is 0.67.
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A marching band performs on the football field at half-time. As they perform, the members of the band stand in
the shape of a sinusoidal function. While playing, they move, but still maintain the sinusoidal function,
transforming it in different ways.
Darla is a member of the marching band. As the band begins to play she is positioned in the exact center of the
field. The person closest to her on the same horizontal line, stands 10 yards away. The sinusoidal function
extends to the ends of the playing field.
The playing area of football field measure 300 feet by 160 feet. Place the playing area of a football field on the
coordinate plane such that the origin is the lower left comer of the football field.
(Score for Question 1: of 2 points)
1. What is the period and the amplitude of the sine function representing the position of the band members as
they begin to play?
Answer.
The period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately \(170.3 feet.\)
What is the coordinate plane?Since the band members are standing in the shape of a sinusoidal function, we can assume that their positions can be represented by the equation:
\(y = A sin(Bx)\)
where y is the vertical position of a band member, x is the horizontal position on the field, A is the amplitude, and B is the period.
Since Darla is positioned in the exact center of the field, and the person closest to her on the same horizontal line stands 10 yards away, we can assume that the sinusoidal function has a phase shift of 0. This means that the midline of the function passes through the point (0, 0).
To find the amplitude, we need to determine the maximum and minimum heights of the function.
Since the playing area of the football field measures 300 feet by 160 feet, the distance between the two farthest points on the field is the diagonal distance, which can be calculated using the Pythagorean theorem:
\(sqrt(300^2 + 160^2) \approx 340.6 feet\)
Since the distance between the farthest points on the field is equal to the distance between two peaks or two valleys of the sinusoidal function, the amplitude is half of this distance:
\(A = 340.6/2 \approx170.3 feet\)
To find the period, we can use the fact that the distance between two consecutive peaks or valleys is equal to the period of the function.
Since the person closest to Darla stands 10 yards away, or 30 feet away, we can assume that this person is standing at a peak or a valley of the function. This means that the period is twice the distance between Darla and the person closest to her:
\(P = 2(30) = 60 feet\)
Therefore, the period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately \(170.3 feet.\)
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The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2629 raffle tickets at $5 per ticket. (a) Kevin bought forty-one tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean
Answer: the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
Step-by-step explanation:
Given that;
the total number of raffle ticket sold by the student is 2629
Kevin bought 41 tickets
the probability that Kevin will win the spring break cruise to the Caribbean?
The required probability will be:
Probability
=(Number of favorable outcomes for an Event) / (Total Number of outcome)
so
probability = 41 / 2629
= 0.01559
Therefore the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
ANSWER AND STEPS PLEASE. HELP
A cone sits inside a cylinder, as shown. They share the same height and radius. What is the volume
of the cylinder not taken up by the cone? Use 3.14 for π.
Answer Choices
75.36 in.3
150.72 in.3
226.08 in.3
301.44 in.3
Answer:
A. 75.36 in^3
Step-by-step explanation:
r =3 in
h=8 in
v=1/3 π r^2h
= 1/3×3.14×3×8
=75.36 in^2
hope it helps...
have a great day!!
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures
2
2 feet by
3
3 feet by
1.5
1.5 feet. The delivery truck measures
11
11 feet by
8
8 feet and is
6
6 feet tall. Johnny puts planting soil in the delivery truck until the truck is
70
70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is
70
70% full?
The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.
What is the volume of a solid?The volume of a solid is the three dimensional space the solid occupies.
The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;
Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³
Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³
70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³
The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0
The number of times Johnny needs to use the wheelbarrow is about 41 times
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Kira unravels a shirt to get blue thread. From each centimeter (cm) of the shirt, Kira gets 231 cm of thread. She unravels 7cm of the shirt.
How much thread does Kira get ?
Answer:
1617 cm of thread.
Step-by-step explanation:
We are told that the equivalence would be that for each cm of shirt Kira gets 231 cm of thread, therefore it would be:
231 cm thread / 1 cm shirt
they tell us that she managed to remove 7 cm of shirt, therefore:
7 cm shirt * 231 cm thread / 1 cm shirt = 1617 cm thread
Therefore Kira obtained 1617 cm of thread.
Answer:
Kira gets 1,617
Step-by-step explanation:
In Khan word problems 4 grade divsion TRUST ME I GOT IT RIGHT!! THANK U
Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)
Answer:
To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:
A' = (-3, 3 + 3) = (-3, 6)
B' = (0, 7 + 3) = (0, 10)
C' = (-3, 0 + 3) = (-3, 3)
Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).
So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).
Plz help ASAP need fast plz will mark Brainlyist
Answer:
The correct answer is the third one. CIRCUMFERENCE
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
30 degrees
Step-by-step explanation:
inscribed angle angle x encompasses 360 - 120 - 180 = 60 degrees of arc
this is 2 times the measure if the inscribed angle
angle B = 30 degrees
Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time
watching alone. The consensus is that this percentage has been increasing over the years due to the increased
number of television sets in households.
a. Determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than
6% to estimate the true proportion of viewers who watch television alone.
b. What impact would a pilot sample that showed that 44% of viewers spend the majority of their television time
watching alone have on your on results.
a. The sample size needed is
(Round up to the nearest integer.)
b. The new sample size needed would be 0
(Round up to the nearest integer.)
Answer:
Step-by-step explanation:
Find the perimeter for a rectangle that has an area of 2x^2+6x-8 and length of 2x-2. (Hint: First find the length)
47 POINTS !,!!!!!!!!!!!!!!
If no less than 100000 packets must be packed each week, the minimum number of packets needed to be packed each day for the remaining days is 21250.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
There are 6 days from Monday to Saturday. The factory is closed on Tuesday and 15000 packets were packed on Monday. If no less than 100000 packet must be packed, hence:
4x + 15000 ≥ 100000
x ≥ 21250
If no less than 100000 packets must be packed each week, the minimum number of packets needed to be packed each day for the remaining days is 21250.
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which are numbers between 9.23 and 9.25
The required number lies between 9.23 and 9.25 is 9.24.
Given that,
A number to be determined between 9.23 and 9.25.
The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.
What is average?The average of the values is the ratio of the total sum of values to the number of values.
Here, er have two numbers 9.23 and 9.25 the number between this can be evaluated by taking an average of the two numbers .i.e
Let the number between 9.23 and 9.25 is x, then
x = ( 9.23 + 9.25 ) / 2
x = 18.48 / 2
x = 9.24
Thus, The required number lies between 9.23 and 9.25 is 9.24.
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Right triangle with a hypotenuse of 159 ft and Angle A = 34 degree
Calculate the length of the sides they should be rounded to the nearest whole foot. The rounded for the legs (side) should be used to calculate the area of the triangle
the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
Given: The hypotenuse of the right triangle,
c = 159 ft; angle A = 34°
We know that, in a right-angled triangle:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$\)
We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)
\({\text{adjacent}}$$\) Length of side a is:
\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)
Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:
\($$\text{Area} = \frac{1}{2}ab$$\)
Putting the values of a and b:
\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)
Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
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The given equation shows the relationship between the price, in dollars, y, of x gallons of gasoline.
y = 2.251
Which graph represents the proportional relationship?
Cost of Gasoline
3.5
Cost of Gasoline
3.5
3
3
2.5
2.5
Price ($)
2
Price ($)
2
1.5
1.5
1
1
0.5
0.5
0
0
0.5 1 1.5 2 2.5 3 3.5
Gallons of Gasoline
w.
0.5 1 1.5 2 2.5 3 3.5
Gallons of Gasoline
X.
Cost of Gasoline
Cost of Gasoline
Y
3.5
3.5
3
3
2.5
2.5
Price ($)
2
Price ($)
2
1.5
1.5
1
1
0.5
0.5
0
0
0.5 1 1.5 2 2.5
1.5 2 2.5 3 3.5
Gallons of Gasoline
Y.
0.5 1 1.5 2
1.5 2 2.5 3 3.5
Gallons of Gasoline
z.
1 of 10 Answered
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