The table below shows the temperature in degrees for eight consecutive days as well as the respective number of ice cream cones an ice cream shop sold on each of these days.
Temperature: 68 77 83 85 89 94 96 99
Number of cones: 403 447 457 465 489 503 543 576
about how many ice cream cones would you expect the shop to sell if the temperature one day is 106 degrees?
Final answer:
The question is about estimating the number of ice cream cones sold at 106 degrees Fahrenheit based on a set of data correlating temperature with sales. An educated guess, without exact calculations, suggests that at least 649 cones might be sold, based on the pattern observed in the data provided.
Explanation:
The student's question touches on the relationship between temperature and the number of ice cream cones sold. Looking at the data provided, there seems to be a positive correlation: as temperature increases, so does the number of cones sold.
Based on the steady increase in the number of cones sold with each increase in temperature, it is reasonable to assume that if the temperature were to increase from 99 degrees (which correlated with 576 cones sold) to 106 degrees, the number of cones sold would increase by at least the same increment as previous temperature rises, if not more.
If we take the difference between 94 degrees and 99 degrees, which is an increase in 5 degrees and corresponds to an increase of 576 - 503 = 73 cones, we could estimate that at 106 degrees, the shop might sell at least 73 more cones than they did at 99 degrees.
This would yield an estimate of 576 + 73 = 649 cones as a conservative minimum estimate.
Kelly buys a sweater for $16.79 and a pair of pants for $28.49. She pays with a $50 dollar bill. How much change should kelly get in return?
Answer:
$4.72
Step-by-step explanation:
16.79+28.49=45.28
50-45.28=4.72
Simplify completely.
(w^15/w^5)^4
[tex]\text{Use}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\(a^n)^m=a^{n\cdot m}\\-------------------------\\\\\left(\dfrac{w^{15}}{w^5}\right)^4=\left(w^{15-5}\right)^4=\left(w^{10}\right)^4=w^{10\cdot4}=w^{40}\\\\Answer:\ \boxed{\left(\dfrac{w^{15}}{w^5}\right)^4=w^{40}}[/tex]
Mr. Chiu made a dot plot after asking his students a question.
Answer:
B Twelve students answered Mr. Chiu’s question.
C Three people studied for two hours.
F Four people studied for four or more hours.
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
The information that can be missing from the dot plot is the scale and data points.
What is scatter plot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.
Elias dot plot may not have a distinct scale on the axes, which makes it challenging to identify the precise values or quantities being displayed. This is based on the fundamental idea of a dot plot. A scale offers the required context for correctly analysing the data by, among other things, specifying the measurement intervals or units that were employed.
Furthermore, certain data points, such as the number of tropical fish in each tank or the exact values being displayed, may be absent from the dot plot. It would be difficult to evaluate the dot plot or make inferences from it without the actual data points. Overall, it is impossible to pinpoint exactly what information may be lacking without further detailed details concerning Elias' dot plot.
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complete question:
Elias made a dot plot that shows the number of tropical fish contained in the 14 aquariums at the pet store. What information is missing from Elias dot plot?
Graph ΔABC and its image after a rotation of 180º about the origin.
Answer:
The vertices of image are A'(0,0), B'(-1,-5) and C'(4,-5). The graph of image and preimage is shown below.
Step-by-step explanation:
From the given figure it is noticed that the vertices of triangle ABC are A(0,0), B(1,5) and C(-4,5).
If a figure rotated at 180º about the origin, then
[tex]P(x,y)\rightarrow P'(-x,-y)[/tex]
The vertices of image are
[tex]A(0,0)\rightarrow A'(0,0)[/tex]
[tex]B(1,5)\rightarrow B'(-1,-5)[/tex]
[tex]C(-4,5)\rightarrow C'(4,-5)[/tex]
Therefore the vertices of image are A'(0,0), B'(-1,-5) and C'(4,-5).
The graph of image and preimage is shown below.
Please help!!! I only have three questions left!!!
A general proof for this would be that since Angle A + Angle F + Angle E = 180°, and each of these angles is congruent to some angle inside of Triangle CGH; that CGH would equal 180°.
Interior angles of triangles = 180°, which is common knowledge; unfortunately this isn't an answer choice - so we use the above proof.
F ~= C
A ~= H
E ~= G
So, Angles A and H are congruent would be the correct solution.
PLZZ!!! ANSWER!!! ASAP!!!
State the domain of the relation.
{−4, −3, −1, 0, 3, 4, 5}
{−3, −2, −1, 0, 1, 2}
{−3, 2}
{−4, 1, 5}
True or False??
In the following number, the 8 is in the hundreds place.
15,829
Answer:
your answer is true.
Step-by-step explanation:
As 8 is in the hundredth place.
Answer:
The answer is True.
Step-by-step explanation:
9 is in the "ones place", 2 is in the "tens place, 8 is in the "hundreds place", and so on...
Solve approximate the value of t accurately to 4 decimals
4t=70
The equation 4t = 70 can be solved by dividing both sides by 4, yielding t = 17.5. This is not a quadratic equation, so the quadratic formula is not required.
Explanation:To solve the equation 4t = 70 and approximate the value of t to four decimal places, we will first perform a simple algebraic operation. Divide both sides of the equation by 4 to isolate t.
t = 70 / 4
t = 17.5
This is a straightforward equation, but we should be cautious not to mix it up with a quadratic equation, which would require the use of the quadratic formula. The quadratic formula is used for equations of the form at² + bt + c = 0 and would look like this:
-b ± √b² - 4ac over 2a.
Given that the original equation provided is not quadratic, we do not need this formula for our current problem. The correct solution for our equation is t = 17.5.
there are 3 literature books, 4 algebra books, and 2 biology on a shelf. if a book is randomly selected, what is the probability of selecting a literature book or an algebra book?
Answer:
[tex]\frac{7}{9}[/tex]
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
[tex]P=\frac{x}{y}[/tex]
step 1
Find the probability of selecting a literature book
we have
[tex]x=3[/tex]
[tex]y=3+4+2=9[/tex]
substitute
[tex]P=\frac{3}{9}[/tex]
step 2
Find the probability of selecting an algebra book
we have
[tex]x=4[/tex]
[tex]y=3+4+2=9[/tex]
substitute
[tex]P=\frac{4}{9}[/tex]
step 3
Find the probability of selecting a literature book or an algebra book
Adds the probability of selecting a literature book plus the probability of selecting an algebra book
[tex]P=\frac{3}{9}+\frac{4}{9}=\frac{7}{9}[/tex]
Answer:
Step-by-step explanation:
Is it mutually exclusive?
Two friends ordered a restaurant special in which they each recived a meal and shared a desert. The final bill with tax and tip was $21.86.How much should each friend pay
In the triangle below, what is cos B?
Answer:
[tex]\text{cos}(B)=\frac{c}{a}[/tex]
Step-by-step explanation:
We have been given a triangle. We are asked to find [tex]\text{cos}(B)[/tex].
We know that cosine relates adjacent side of a right triangle to its hypotenuse.
[tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]
We can see that side AB is adjacent side and CB is hypotenuse of our given right triangle.
[tex]\text{cos}(B)=\frac{AB}{CB}[/tex]
[tex]\text{cos}(B)=\frac{c}{a}[/tex]
Therefore, our required value is [tex]\text{cos}(B)=\frac{c}{a}[/tex]
He expression0.50a+0.65prepresents the total cost of a apples and p pears. If Tonya bought 10 pears and spent a total of $10.00, how many apples did she buy?
If Tonya bought 10 pears and spent a total of $10.00 in expression 0.50a+0.65p represents the total cost of a apples and p pears then Tonya bought 7 apples.
Let's use the information provided to set up an equation and solve for the number of apples (a) that Tonya bought.
Cost of pears (p) = $0.65 each
Cost of apples (a) = $0.50 each
Total cost = $10.00
We are told that Tonya bought 10 pears. So, the cost of 10 pears would be:
Cost of 10 pears = 10 * $0.65 = $6.50
Now, we can set up an equation to represent the total cost of apples and pears:
Total cost = 0.50a + 0.65p
We know that the total cost is $10.00 and the cost of 10 pears is $6.50:
$10.00 = 0.50a + $6.50
Now, let's solve for 'a' (the number of apples):
Subtract $6.50 from both sides:
$10.00 - $6.50 = 0.50a
$3.50 = 0.50a
Now, divide both sides by 0.50 to solve for 'a':
a = $3.50 / $0.50
a = 7
Tonya bought 7 apples.
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Add a restaurant after every 12 visit you receive a free beverage after every 15 where is it you receive a free dessert which visit will you first receive a free beverage and a free desert
Answer:
60
Step-by-step explanation:
Could 1 2 . 2 cm , 6 . 0 cm , 12.2 cm,6.0 cm, and 4 . 2 cm 4.2 cm be the side lengths of a triangle?
Answer:
Yes they can be
What is the volume of the rectangular prism in the figure shown?
We know that, Volume of a Rectangular Prism is given by :
✿ {Length × Width × Height}
Given : The Length of Rectangular Prism = 5.5
Given : The Width of Rectangular Prism = 6
Given : The Height of Rectangular Prism = 3
⇒ The Volume of given Rectangular Prism = {5.5 × 6 × 3}
⇒ The Volume of given Rectangular Prism = 99
Look at the triangle:
A right angle triangle is shown with hypotenuse equal to 17 centimeters. An acute angle of the triangle is labeled as x degrees
What is the value of cos x°? (1 point)
Select one:
a. 8 ÷ 17
b. 17 ÷ 8
c. 15 ÷ 17
d. 8 ÷ 15
In reference to the image below, the trigonometric ratio cos [tex]\alpha[/tex]° is calculated by dividing the base by the hypotenuse, thus making part c) 15 ÷ 17 the correct option.
The trigonometric ratios are six different proportions of the three sides of right angled triangle, namely, hypotenuse, perpendicular and base. The trigonometric ratios are sine, cosine, tan, sec, cosec and cot.
In the given question, the trigonometric ratio cos is given by dividing the base of the triangle to the hypotenuse.
In any question,
hypotenuse = side opposite of the right angle = 17
base = side adjacent to the acute angled marked = 15
Thus giving the value of cos [tex]\alpha[/tex]° as 15 ÷ 17.
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The complete question is given below:
A right angle triangle is shown with hypotenuse equal to 17 centimeters. An acute angle of the triangle is labeled as [tex]\alpha[/tex] degrees.
What is the value of cos [tex]\alpha[/tex]°?
a. 8 ÷ 17
b. 17 ÷ 8
c. 15 ÷ 17
d. 8 ÷ 15
The figure of triangle is given below:
20. What is the determinant of B? {-18 3} {4 1}
Answer:
-30
Step-by-step explanation:
-18x1 - 4x3 = -18-12= -30
Our oranges and 5 apples cost 3.56$ Three oranges and four apples cost $2.76.Find the cost of an orange and the cost of an apple
Two equations for the purchase prices can be written. Let o and a represent the costs of an orange and an apple, respectively.
... 4o +5a = 3.56
... 3o +4a = 2.76
We can eliminate the o variable by subtracting 3 times the first equation from 4 times the second:
... 4(3o +4a) -3(4o +5a) = 4(2.76) -3(3.56)
... a = 0.36 . . . . simplify
This value can be substituted into either equation to find o. Let's use the first one.
... 4o +5·0.36 = 3.56
... 4o = 1.76 . . . . . . . . . subtract 1.80
... o = 0.44 . . . . . . . . . divide by 4
The cost of an orange is $0.44; the cost of an apple is $0.36.
_____
Comment on the solution
There are perhaps half a dozen different ways to solve a pair of linear equations in two variables. This method isn't necessarily the easiest, but it works. If you have a graphing calculator, quite often it includes matrix operations that will solve this quickly and easily.
The value of Zlatan's house has increased be 7%. His house is now valued at ?749,000. Work out the value of the house before the increase
Answer:The value of Zlatan's house has increased be 7%. His house is now valued at 749,000. Work out the value of the house before the increase.
Don't worry! I got you! just whip out a calculator and take 749,000 and tomes it by 0.07, which is 7%. That gives you 52,430, which means you take 749,000 and subtract 52430, which ultimately give you an ANSWER of (696,570) Hope that helps!
Step-by-step explanation:
Answer:
$ 700,000
Step-by-step explanation:
Let x be the original value of the Zlatan's house,
After increasing the value of the house by 7%,
New cost of his house = (100+7)% of x
= 107% of x
[tex]=\frac{107x}{100}[/tex]
= 1.07x
According to the question,
[tex]1.07x = 749,000[/tex]
[tex]x=\frac{749000}{1.07}=\$ 700000[/tex]
Hence, his house value would be $ 700000 before the increase.
classify the polygon by its number of sides. state whether the polygon appears to be regular or not regular
Answer: the correct answer is the third option
I need some help:
Use the constant of proportionality to write a unit rate for the data in the table.
(I the constant is 45, so answer the question plz)
The unit rate is another way of saying speed, so we divide the distance over the time. We can pick on any row
If we pick row 1, then, speed = distance/time = 90/2 = 45
Row 2 says the same thing: 135/3 = 45
So does row 3: 225/5 = 45
and so on
Because the speed is 45 mph, the unit rate is 45 miles in one hour. The term "unit" implies how much distance can be covered in one unit of time, in this case 1 hour.
You have the correct answer. Nice work.
Chico walks 35 mile to the library. Nikki walks 14 the distance that Chico walks to the library. How far does Nikki walk?
For which function will both ordered pairs (2, 8) and (6, 12) be solutions?
y = 4x
y = 6 + x
y = 2x
y = 18 - x
Answer:
y=6+x
Step-by-step explanation:
2+6=8 6+6=12
Therefore, ‘A is smaller’.
Can anyone please tell me what I’m doing wrong. I got 2/5 from this question.
Answer:
A is smaller.
Step-by-step explanation:
SAc of cylindrical container:
Diameter of base: 60 mm
Radius of base: 30 mm
Height of cylinder: 240 mm
SAc = lateral area + area of two bases
SAc = (pi)dh + 2(pi)r^2
SAc = (pi)(60 mm)(240 mm) + 2(pi)(30 mm)^2
SAc = 14,400(pi) mm^2 + 1,800(pi) mm^2
SAc = 16,200(pi) mm^2 which approximately equal to 50,868 mm^2
SAp of prism:
Rectangular prism with L = 120 mm, W = 120 mm, H = 0 mm
SAp = 2(LW + LH + WH)
SAp = 2(120 mm * 120 mm + 120 mm * 60 mm + 120 mm * 60 mm)
SAp = 2(14,400 mm^2 + 7,200 mm^2 + 7200 mm^2)
SAp = 2(28,800 mm^2)
SAp = 57,600 mm^2
The total surface are of the prism is greater than the total surface area of the cylinder.
The population of a town increased by 15% in 2016, and decreased by 5% in 2017. If the population of the town was 60,000 in the beginning of 2016, then what was it at the end of 2017?
Answer:
65,550.
Step-by-step explanation:
We have been given that the population of a town increased by 15% in 2016, and decreased by 5% in 2017.
Since an exponential is in form: [tex]a*b^x[/tex].
For growth b=(1+r), where r in rate in decimal form.
For decrease b=(1-r), where r in rate in decimal form.
[tex]15\text{ percent}=\frac{15}{100}=0.15[/tex]
Let us find the population increase in 2015.
[tex]\text{Population at the end of year 2016}= 60,000*(1+0.15)^1[/tex]
[tex]\text{Population at the end of year 2016}= 60,000*(1.15)[/tex]
[tex]\text{Population at the end of year 2016}= 69,000[/tex]
Therefore, the population at the end of year 2016 will be 69,000.
Now let us find population decrease of 5% in year 2017.
[tex]15\text{ percent}=\frac{5}{100}=0.05[/tex]
[tex]\text{Population at the end of year 2017}= 60,000*(1-0.05)^1[/tex]
[tex]\text{Population at the end of year 2017}= 60,000*(0.95)[/tex]
[tex]\text{Population at the end of year 2017}= 65,550[/tex]
Therefore, the population at the end of year 2017 will be 65,550.
What is the value of x?
Answer:
15
Step-by-step explanation:
The fact angle G and F are equal means the triangle is isosceles triangle. And an isosceles triangle has two equal sides on the opposite sides of the equal angles. Which means x equals HF which is 15.
Question
What is the value of x?
Answer:
15Step-by-step explanation:
this is an isosceles triangle, 2 equal sides and 2 equal angles, so
FH = GH
15 = 15
Given: Parallelogram KLMN
Prove: ∠N≅∠L and ∠M≅∠K
Statement Reason
Parallelogram KLMN Given
KL¯¯¯¯¯∥NM¯¯¯¯¯¯¯ and KN¯¯¯¯¯¯∥LM¯¯¯¯¯¯
m∠K+m∠N=180°
m∠L+m∠M=180°
m∠K+m∠L=180°
Same-Side Interior Angles Theorem
m∠K+m∠N=m∠K+m∠L
m∠L+m∠M=m∠K+m∠L
m∠N=m∠L
m∠M=m∠K
∠N≅∠L and ∠M≅∠K Angle Congruence Postulate
Substitution Property of EqualityTransitive Property of CongruenceSubtraction Property of EqualityDefinition of parallel linesDefinition of parallelogram
Answer:
Since, KLMN is a parallelogram, then by the property of parallelogram that opposite angles of a parallelogram is equal, therefore ∠N=∠L and ∠M=∠K.
Step-by-step explanation:
Answer:
It is followed by properties of parallelogram and the proof is explained in step-by-step solution.
Step-by-step explanation:
Given a parallelogram KLMN
Parallelogram is a quadrilateral with parallel opposite sides.
To Prove: ∠N≅∠L and ∠M≅∠K
In Parallelogram KLMN the opposite sides are parallel therefore, the opposite angles are vertical angles. And the vertical angles are always equal and congruent. Hence,
∠N≅∠L and ∠M≅∠K
For any quadrilateral sum of all angles equal to 360°
m∠K + m∠L + m∠M + m∠N = 360°
Now given quadrilateral is parallelogram therefore opposite angles are equal. So, we can write m∠L = m∠N, m∠M = m∠K
⇒ m∠K + m∠N + m∠K + m∠N = 360°
2 m∠K + 2 m∠N = 360°
m∠K + m∠N = 180°
For the same parallelogram, because opposite sides are equal therefore use m∠K = m∠L, m∠N = m∠M using above equation, we get
m∠L + m∠M = 180°
Because m∠M = m∠K
m∠K + m∠L = 180°
Same Side Interior Angles Theorem states that if the two parallel lines intersect or cut by a transversal then the interior angles on the same side are supplementary that means their sum is equal to 180°
Hence, by above theorem m∠K + m∠N = 180°
& m∠K + m∠L = 180°
By above two equations, we get
m∠K + m∠N = m∠K + m∠L
because m∠K = m∠M & ∠N = ∠L
⇒ m∠L + m∠M = m∠K + m∠L
Because opposite angles of a parallelogram are alternate angles therefore are equal. hence,
m∠N = m∠L
m∠M = m∠K
Angle congruency postulate
Opposite angles of parallelogram are vertical angles and the vertical angles are congruent as well as equal.
∠N≅∠L and ∠M≅∠K
Substitution Property of equality states that if one angle is equal to another angle the one can be substituted in the place of another that means if ∠M=∠K then we can substituted ∠K in place of ∠M
Transitive property of congruence states that if if the two angles or segments or triangles are congruent to third then they are congruent to each other.
Subtraction Property of Equality states that if if two sides of any equation are equal then subtraction of same value from both sides results in equality of equation.
Parallel lines are those lines which do not intersect or cut each other at the end.
Parallelogram is a quadrilateral have opposite sides equal and parallel.
:
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Which equation represents this ellipsis
A (x-2)^2 / 6^2 + (y-4)^2 /3^2 = 1
B(x-2)^2 / 12^2 + (y-4)^2 /6^2 = 1
C)(x-4)^2 / 6^2 + (y-2)^2 /3^2 = 1
D) (x-4)^2 / 12^2 + (y-2)^2 /6^2=1
Answer:
None
Step-by-step explanation:
The center of the ellipse is at (2, 4)
The length of the x axis is a= (8-2) =6
The length of the y axis is b=(16-4) = 12
The formula for an ellipse is
(x-h) ^2 (y-k)^2
----------- + -------------- = 1^2
a^2 b^2
where (h,k) is the center
and a and b are the lengths of the major and minor axes
(x-2) ^2 (y-4)^2
----------- + -------------- = 1
6^2 12^2
none of your choices have b>a and for the ellipse to be vertical b>a
Please help on this one ?
Answer:
C. (-3.6, 17)
Step-by-step explanation:
The relative maximum occurs at an x coordinate between -3 and -4. The relative maximum is between 15 and 20. The best approximation is
C. (-3.6, 17)
Answer:
c. (-3.6, 17)
Step-by-step explanation:
The relative maximum is the maximum in a region. The maximum between -6 and is found and x=-3.6 and the value is 17. So x=-3.6 and y=17