Answer:
[tex]\boxed{\bold{y=-5(x-4)^2+1}}[/tex]
Step-by-step explanation:
[tex]y=a(x-h)^2+k[/tex] - vertex form of equation of a parabola where vertex is (h,k)
[tex]y=a(x-4)^2+1[/tex] - vertex form of equation of a parabola where vertex is (4,1)
The parabola goes through point (3, -4) so if x=3 then y=-4
[tex]-4=a(3-4)^2+1\\\\-4-1=a(-1)^2+1-1\\\\-5=a\cdot1\\\\{}\ \ a=-5[/tex]
Therefore the equation of the parabola in vertex form with vertex (4,1), going through point (3,-4):
[tex]y=-5(x-4)^2+1[/tex]
Can any kind soul help me please
Answer:
(i) we will be finding the acceleration here, in the first 20 seconds the velocity was 10
a = velocity/time
a = 10/20
a = 0.5 ms -2
(ii) difference in distance of the bus and bicycle will be given by formula of velocity
velocity of bicycle
10 * 80 = distance
800 metres
velocity of bus
for first 20 seconds( distance= velocity* time)
200 metres
from 20 seconds to 60 seconds, it will be for 40 seconds
then distance will be,
400 metres
final 20 seconds
200 metres
adding the distances of bus it will be 800 metres.
the difference in distance will be 0 metres.
this is wat i think
A number divided by 7 equals 3/21
Answer:
Step-by-step explanation:
21
Answer:
The answer is 3
Step-by-step explanation:
I dobt have an explanation, but if u use a calc then u can see that it equals 3/21.
Hey can anyone help me I need this ASAP please:)
Answer:
keep adding 35 to the graph
Step-by-step explanation:
10. In markets, what is the signal that allocates goods and
services between buyers and sellers?
(A) price
(D) quantity
(B) demand
(E) elasticity
(C) supply
Jeremiah invested $1,200 in a Certificate of Deposit, $3,500 in a corporate bond, $900 in a common stock, and $2,475 in a preferred stock, The COD has a rate of return of 2.1%; the corporate bond is -1.3%; the common stock's rate of return is 4.1%; and the preferred stock has a rate of return of 5.5%.
What is the weighted mean, mean and median overall rate of return on Jeremiah's investment portfolio?
What is the area of the triangle?
Answer:
63
Step-by-step explanation:
What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?
Answer:
4.53%
Step-by-step explanation:
We are told that:
From the question, we have a 6.5 % coupon
Hence = 6.5 × $10
= $65
Price of the bond one year later = $1,037.19
$1,054.47 - $1,037.19
= $17.28
Rate of Return
= ($65.00 - $17.28)/$1,054.47
47.72 ÷ 1054.47 = 0.045254962
0.045254962 × 100 =
4.5254962 %
Approximately = 4.53%
John caught 24 trout in bass while on a fishing trip. The total weight of his catch was 137 pounds. The average weight of a trout was 2.5 pounds, and the average weight of a bass was 8 pounds. How many trout and how many bears did he catch?
Answer:
trouts = 10 and bears = 14
Step-by-step explanation:
Let number of trouts and bears be x and y respectively.
This means that since he caught 24 trout and bass, we have;
x + y = 24 - - - (eq 1)
Now, average weight of trout is 2.5 pounds and average weight of bass is 8 pounds.
Thus;
2.5x + 8y = 137 - - - (eq 2)
From eq(1), let's make x the subject.
Thus;
x = 24 - y
Put 24 - y for x in eq(2)
2.5(24 - y) + 8y = 137
60 - 2.5y + 8y = 137
5.5y + 60 = 137
5.5y = 137 - 60
y = 77/5.5
y = 14
x = 24 - 14
x = 10
Thus, trouts = 10 and bears = 14
i need this now please help me please !!
Area = 81 pi mi2
Circumference = 18 pi mi
What is the value of the expression below when z = 3?
3z – 1
Answer:
8
Step-by-step explanation:
3z-1
putting the value of z
=3×3-1
=9-1
=8
Answer:
8
Given:
z=3
Step-by-step explanation:
3z – 1
3(3)-1
9-1
8
hope this helps you❤
Need help asap!!!!
What is the coefficient for 9x=18?
Answer:
If ur looking for the answer for x then its 2
Step-by-step explanation:
9 times 2 = 18
there u go
A school survey reported the percent of students in Zoe’s class who ride their bikes to school. The percent is shown below. This percent represents a repeating decimal. Choose the answer that shows it as a fraction.
16.6¯%
A. 1616
B. 1613
C. 1635
D. 1623
Answer:
I think its A
Step-by-step explanation:
Find the linear equation for the following functions
Answer:
1st one) y = x - .8
Step-by-step explanation:
1st one) you start by finding the slope of the line which can be found with y1 - y2/x1 - x2 (in this case: 3.6-2.4/2-1 which = 1/1, or the slope is one). now that we know the slope we need to find the x intercept or the point that the line intercepts the x axis, or when y = 0. We know that that for every one we subtract from x, we subtract one from y (hence the slope 1/1). so when we subtract 1.2 from the y we subtract 1.2 from the x. so the x intercept is -.8. If we put this in y = mx+b we get y = x - .8
2nd one) you do the same thing for the 2nd one then
The number of bacteria in a Petri dish grows by 10 percent every hour. After the growth, about 100 bacteria die. Suppose there are 500 bacteria, how many bacteria are alive after 1 hour
Answer:
450 bacteria
Step-by-step explanation:
Find growth that comes from precentage.
a = pw
a = 1.10(500)
a = 550
Then kill 100 bacteria.
b = 450
bruh no one is helping me with my questions anymore so could someone please help me on this :/
which of these statements are true
1. Vertical angles formed by intersecting lines are directly across from each other and are sometimes congruent.
2. An angle bisector divides an angle into two congruent angles
3. A midpoint divides a line into two congruent lines.
4. Perpendicular lines form congruent right angles.
5. An angle measuring 225 degrees is obtuse.
6. If two angles form a linear pair, then they are complementary.
Answer:
6,4,3,2
Step-by-step explanation:
I'll givee brainliest
find the linear function from the table
f(x)= 0.05x2+9.5x – 200
What is the value f(-2)?
Answer:-219.2
Step-by-step explanation: Assuming that by “0.05x2” you meant “0.05 * x * 2”
0.05 * -2 * 2 + 9.5 * -2 - 200
-0.2 - 19 -200
-219.2
What would the equation be? I give brainliest if correct
Answer:
I am pretty sure it's a
I hope this helps
2. Tina uSUally brings her children every Sunday afternoon at the children's park in their barangay. The park is 350m Iong and 200m wide complete with slides and
swings for children to play. If is surounded by a pathway of unifom width for children who loves biking and jogging. Suppose the total area of the park and the pathway is 74,464 m2.
a. How wide is the pathway of the park?
b. If you were Tina, woulad you like your children fo go biking and jogging in that park?
Answer: kindly check explanation
Step-by-step explanation:
Given the following :
Total area of parknand path way = 74,464 m2.
Dimension of park = 350m by 200m
Using the area of rectangle formula:
Area = Length * width
Area of park = 350m * 200m
Area of park = 70,000
Area of path = (74,464 - 70,000) = 4,464m2
Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m
2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path
Stephen collected data from a travel website. The data included a hotel's distance from Times Square in
Manhattan and the cost of a room for one weekend night in August. A table containing these data appears below.
0
1
1
3
4
7.
19
Distance From
Times Square
(city blocks) (x)
Cost of a Room
(dollars) (y)
293 263
244
224
185
170
219
153
136
111
Stephen calculated the linear regression equation to be y = -7.8x + 246.3. Using this equation, find the cost of a
room 5 city blocks away from Time Square.
1) $195
2) $207
3) $238
4) $285
What’s the answer?
Answer:
$207
Step-by-step explanation:
Given the following :
Data:
X : Distance From Times Square (city blocks)
Y: Cost of a Room (dollars) (y)
The linear regression model generated for the data :
y = -7.8x + 246.3
y = predicted variable ; - 7. 8 = slope of model ; x = predictor variable ; 246.3 = intercept
Using the model:
The cost of a Room 5 block away :
x = 5
y = -7.8(5) + 246.3
y = - 39 + 246.3
y = $207.3
If you had 21,000,000 friends and one died how many are left.
Answer:
wow um 20,999,999
Step-by-step explanation:
I dont think all of they are REAL friends
Suppose a bag of rice weighs 3.8 kilograms. How much do 6 bags of rice weigh?
Answer:
22.8 kg?
Step-by-step explanation:
Please help me, the attachment is below. (If you don't know the answer to the question please don't answer)
Answer:
Step-by-step explanation:
The three angles of a triangle always have to equal 180 in the end, so if you use the method which is the 4 in this instance, it is an obtuse angle that is equal to the top and left angle. You can add 1 and 2 to get 4, and do 4-3 to get 1+2, So, 4=1+2.
John has walked 15% of the way
home from school. If he has walked
200 meters so far, how far does he
walk home from school?
Please help me. (worth 15!!!!!)
Find the slope of the line passing through the points -5,6 and 9,6
1/4+1_4+1/4= what
pls help fast
Answer:
3/4
Step-by-step explanation:
help me please ! fast
Answer: q-56 > 0
Step-by-step explanation:
STEP 1
Equation at the end of step 1
(q + 12) - 2 • (q - 22) < 0
STEP 2
Equation at the end of step 2
56 - q < 0
STEP 3
Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
q-56 > 0
4. What is the sum of trigonometric ratios Cos 16 and Cos 74?
A. 0.276
B 0.961
C. 1.237
D. 1.922
5. In triangle ABC , Tan angle A=3/4 . The hypotenuse of triangle ABC is
A 3
B 4
C. 5
D. 9
6. In triangle ABC , Sin angle B=14/17 . The hypotenuse of triangle ABC
A. 14
B17
C. 2sqrt(485 )
D. 0.824
7. In triangle ABC , Cos angle C=22/36 . The hypotenuse is
A, 22
B. 36
C.0.611
D. 2sqrt(445)
Answer:
1254.32
Step-by-step explanation:
add and subract
The slope of the line whose equation is 3 x - 2 y = 4 is:
A. 2/3
B. -2
C. 3/2
Answer:
c 3/2
Step-by-step explanation:
