Answer:
158 cases
Step-by-step explanation:
Given tbe quadratic regression model :
y = -2x^2 + 40x + 8
y = number of cases of a new disease
x = number of years
The predicted number of cases of a new disease in 15 years can be calculated thus ;
Put x = 15 in the equation ;
y = -2(15)^2 + 40(15) + 8
y = - 2 * 225 + 600 + 8
y = - 450 + 600 + 8
y = 158
158 cases
At a football stadium, 10% of the fans in attendance were teenagers. If there were 100 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
The answer is 1000.
*Explanation*
Attendance at the football stadium is 100%
100% - 10% = 90%
10% = 100 attendance
900% = 900 attendance
900 + 100 = 1000 attendance
25. A sequence of positive integers with 2020 terms is called an FT sequence if each term
after the second is the sum of the previous two terms. For example, if the first two
terms of an FT sequence are 8 and 7, the sequence would begin 8,7,15,22,37,....
For some positive integer m, there are exactly 2415 FT sequences where the first two
terms are each less than 2m and the number of odd-valued terms is more than twice
the number of even-valued terms. What is the value of m?
(A) 21
(B) 69 (C) 115 (D) 35 (E) 105
Answer:
The first term in the sequence is odd-valued and so there are m choices for it.2020 Gauss Contest Solutions Page 19
The second term in the sequence is even-valued and so there are m − 1 choices for it.
Thus, there are a total of m × (m − 1) FT sequences that begin with an odd-valued term
followed by an even-valued term.
Finally, we consider the FT sequences that begin with an even-valued term followed by an
odd-valued term (Parity #4).
Again, there are exactly twice as many odd-valued terms as there are even-valued terms in the
first 2019 terms (since the pattern repeats even, odd, odd).
However in this case, the 2020th term is even and so there are fewer than twice as many odd valued terms as there are even-valued terms.
Thus, there are m2 + m × (m − 1) FT sequences that satisfy the required conditions.
Since there are 2415 such FT sequences, we may solve m2 + m × (m − 1) = 2415 by trial and
error.
Evaluating m2 + m × (m − 1) when m = 30, we get 302 + 30 × 29 = 1770, and so m is greater
than 30.
When m = 33, we get 332 + 33 × 32 = 2145.
When m = 34, we get 342 + 34 × 33 = 2278.
When m = 35, we get 352 + 35 × 34 = 2415, as required.
Answer: (D)
Step-by-step explanation:
Find the value of X...................................................................
Answer and Step-by-step explanation:
To find the value of x, we must add together the two angles, and equal it to 180.
7x + x + 20 = 180
8x + 20 = 180
Subtract 20 from both sides.
8x = 160
Now divide each side by 8.
x = 20
We get the result to be 20 = x.
#teamtrees #PAW (Plant And Water)
Due tonight.. *no links*
Answer:
49°
Step-by-step explanation:
106 + 135 + 70 + x = 360
311 + x = 360
x = 49°
The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.
Answer:
x = price of adult tickets = $7
y = price of students tickets = $6
Step-by-step explanation:
Let
x = price of adult tickets
y = price of students tickets
7x + 7y = 91 (1)
14x + 12y = 170 (2)
Multiply (1) by 2 to
14x + 14y = 182 (3)
14x + 12y = 170 (2)
Subtract (2) from (3) to eliminate x
14y - 12y = 182 - 170
2y = 12
y = 12/2
y = 6
Substitute y = 6 into (1)
7x + 7y = 91 (1)
7x + 7(6) = 91
7x + 42 = 91
7x = 91 - 42
7x = 49
x = 49/7
x = 7
x = price of adult tickets = $7
y = price of students tickets = $6
On a basketball court there is a semicircle above the free throw line that has a radius of 7 find the area of semicircle
Answer: [tex]77\ \text{sq. units}[/tex]
Step-by-step explanation:
Given
The radius of the semi-circle is [tex]r=7[/tex]
We know, area of the circle is [tex]\pi r^2[/tex]
So, the area of the semi-circle is half of it i.e. [tex]\frac{1}{2}\pi r^2[/tex]
Put the value
[tex]\Rightarrow \dfrac{1}{2}\times\pi \times 7^2=76.97\\\Rightarrow \approx 77\ \text{sq. units}[/tex]
The area of the semi-circle is [tex]77\ \text{sq. units}[/tex]
On Tuesday, Hayley only has 15 cups of flour and 9 eggs, but she has more than enough butter and
sugar Which system of linear inequalities can Hayley use to model this situation where b represents the
number of loaves of banana bread and represents the number of loaves of zucchini bread?
A /3b + 15
26 +2 9
OB 56 +32 15
3b +59
CS 3b +2:15
16 +2:59
D
26 + 2: 15
| 3b +5359
Answer:
Step-by-step explanation:
On Tuesday, Hayley only has 15 cups of flour and 9 eggs, but she has more than enough butter and
sugar Which system of linear inequalities can Hayley use to model this situation where b represents the
number of loaves of banana bread and represents the number of loaves of zucchini bread?
Id like some help in this, thanks.
Answer:
80 cm²
Step-by-step explanation:
Given 2 similar figures with sides in the ratio a : b , then
ratio of areas = a² : b²
Here ratio of sides = 7 : 14 = 1 : 2
ratio of areas = 1² : 2² = 1 : 4
Thus area of B is 4 times area of A
area of B = 4 × 20 = 80 cm²
Find the value of x and y that will make each quadrilateral a parallelogram.
Answer:
this question is a bit confusing.
Step-by-step explanation:
here's what I think is the answer
9x-6=6x+9
3x=15
x=5
Please help! I need the work for this.
This is the problem 6⁴=1296
And this is the answer log₆1296=4
Answer:
Step-by-step explanation:
x = 6 hope this helps
The point-slope form of a line that has a slope of –2 and passes through point (5, –2) is shown below.
y + 2 = negative 2 (x minus 5)
What is the equation in slope-intercept form?
Answer:
y= -2x+8
good luck on your assignment
Question: Find the range of values of x such that the quadratic function f(x) = 6 + 5x - x² does not Intersect the x-axis.
help me pls 20 points
Thankss
Step-by-step explanation:
(x= -1)(x=6)
[tex] {x}^{1} = - 1. {x}^{2} = 6[/tex]
brainiest pls
50 points and brainliest
Answer:
I can't see clearly pls clear it out
Answer:
tha loojs hard
Step-by-step explanation:
helpppppp
giving brainliest
Answer:
6.25 lb and 100 oz
Step-by-step explanation:
One lb (Pound) is equal to 16 oz (Ounce). Therefore, 100 oz equals...
100 oz / 16 = 6.25 lb
and
100 oz = 100 oz
If A= (-4 1 -4) (3 3 1) (2 5 5) and B= (-4 -5 4) (3 3 -5) (2 2 -1), find AB
Answer:
[tex]\left[\begin{array}{ccc}11&15&-17\\-1&-4&-4\\17&15&-22\end{array}\right][/tex]
Option D will be your answer
[tex]-----------[/tex]
hope it helps...
have a great day!!
PLEASE HELP I DONT KNOW HOW TO SOLVE THIS :((
Answer:
[tex]\displaystyle \angle A=30^\circ[/tex]
Step-by-step explanation:
We are given that in Circle O, Arc BAC measures 300°.
Recall that arc lengths will always total 360°. Therefore:
[tex]\stackrel{\frown}{BAC}+\stackrel{\frown}{CB}=360^\circ[/tex]
By substitution:
[tex]300+\stackrel{\frown}{CB}=360[/tex]
Thus:
[tex]\stackrel{\frown}{CB}=60^\circ[/tex]
∠A intercepts Arc CB. Since it is an inscribed angle, it will be half of its intercepted arc. In other words:
[tex]\angle A=\displaystyle \frac{1}{2}\stackrel{\frown}{CB}[/tex]
Therefore:
[tex]\displaystyle \angle A=\frac{1}{2}(60)=30^\circ[/tex]
How do I do this problem
Answer:
The Ross family used it for 15 hours
The Watson family used it for 20 hours
Step-by-step explanation:
We can rewrite this word problem using variables.
[tex](x*40)+(y*20)=1000[/tex] and [tex]x+y=35[/tex]
Now we can split 35 between x and y. Since 35 can't be split into a whole number, I have split it into 17 and 18
(17*40) + (18*20) = 1040
This is close but 40 too much. Since this is 40 off, we need to move 2 more hours to the Watson family.
(15*40) + (20*20) = 1000
This means -
The Ross family used it for 15 hours
The Watson family used it for 20 hours
I had $370 my mother gave me $150 my father gave me $150 my aunt and uncle gave me $ 100 and I had another $30. How much did I have?
Answer:
370+150+150+100+30=800
Step-by-step explanation:
ANSWER FOR BRAINLIEST AND 50 POINTS:
The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78
Find the MEAN of the temperatures. Round to the nearest tenths place.
A. 82.3
B. 89
C. 83
D. 78
Answer:
Mean of temperatures = 82.3 (Approx.)
Step-by-step explanation:
Given:
Number of days = 7 days
Temperatures in 7 days = 81, 78, 83, 89, 80, 87, 78
Find;
Mean of temperatures
Computation:
Mean = Sum of all observation / Number of observation
Mean of temperatures = Sum of all seven days temperature / Number of days
Mean of temperatures = [81 + 78 + 83 + 89 + 80 + 87 + 78] / 7
Mean of temperatures = 576 / 7
Mean of temperatures = 82.2857
Mean of temperatures = 82.3 (Approx.)
w - 4 > -10
Solve the inequality for W
Andy’s goal for the week is to run 19 miles. he ran 6.19 miles between monday and friday. he ran 3.1 miles on saturday. how many more miles should he run on sunday to meet his goal?
Answer:
9.71 miles
Step-by-step explanation:
total miles he ran = 6.19 + 3.1 = 9.29
Target = 19 miles
Goal for sunday = 19 - 9.29 = 9.71
What is the slope of the line that passes through the points (6,5) and (7,14)?
Answer:
y = 9x - 49
Step-by-step explanation:
y2 - y1/ x2 - x1
14 - 5/ 7 - 6
9/1
= 9
y = 9x + b
5 = 9(6) + b
5 = 54 + b
-49 = b
What is the highest degree of the graph shown above?
a 5
b 60 degrees
c 4
d Not enough information to answer the question
-5 + 6a + (-8) + (-3a)=
Answer:
-5+6a+(-8)+(-3a)=
-13+3a
hope this helps
have a good day :)
Step-by-step explanation:
Answer:3a and -13
Step-by-step explanation:
hope it helps
Could someone please help me urgently ty!
Answer:
m<PRQ=15°
Step-by-step explanation:
so we're given that PQ and RQ are sides of a regular 12-sided polygon (dodecagon)
a regular polygon is a polygon that has all angles be the same measure AND have all sides be the same length
because of that, PQ=RQ, and ΔPQR is isoceles
now we need to find what the question is asking for: m<PRQ
because of base-angles theorem, m<PRQ=m<RPQ
we need to find m<PQR
a dodecagon is 1800° in measure
and we need 1/12th of that measure, since <PQR is 1 out of the 12 interior angles on the dodecagon (a dodecagon has 12 vertecies, so 12 angles). Also because the polygon is regular, every interior angle has the same measure.
so find the measure of <PQR
<PQR= 1/12*1800=150°
now to find the measure of <PRQ:
there are 180° in a triangle
so subtract 150° from 180°
180°-150°=30°
30° is the sum of the base angles (<PRQ is one of the base angles in a triangle)
the base angles are the same measure, so that means the measure of <PRQ is 1/2 the measure of the sum of the base angles
therefore m<PRQ=15°
hope this helps!
Hi guys please help me out I would appreciate it thank you so much
Answer:
D) Angle VUX
Step-by-step explanation:
What two words will fill in the blanks correctly?Single choice.
(1 Point)
In similar figures, the ratio of the lengths of their corresponding sides are ____________ and corresponding angles are ____________.
equal and congruent
similar and similar
similar and congruent
here's the answer :
=》
In similar figures, the ratio of the lengths of their corresponding sides are equal and corresponding angles are congruent.
hence, A. equal and congruent is correct.
Answer:
equal and congruent
Step-by-step explanation:
equal and congruent
The area of a rectangular fountain is x2 + 12x + 20 square feet. A 5-foot walkway is built around the
fountain. Find the dimensions of the outside border of the walkway.
Answer:
x + 7 ft and x + 15 ft as the dimensions of the outside border of the walkway.
Step-by-step explanation:
[tex]x^{2} +12x + 20 = (x + 2)(x + 10)[/tex]
The dimensions of the fountain is x + 2 and x + 10
Adding the 5-ft walkway, we get x + 7 ft and x + 15 ft as the dimensions of the outside border of the walkway.
HELP WITH PROBABILITY QUESTION
A classmate designs a game. The game requires a player to choose a card and roll a die. Does it matter if the die is rolled first or the card is chosen first? Explain your answer.
Answer:
No, it doesn't matter as they are mutually exclusive events. So, the occuring of one event does not effect another event.
Please help!!!
If data set A has a larger standard deviation than data set B, data set B is
more spread out thar data set A.
O A. True
O B. False
Answer:
the answer is B.FALSE
Step-by-step explanation:
hope it helps