Answer:
[tex]t = 0.375s[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 4t + 33[/tex] --- driver 1
[tex]Rate = 2ft/s[/tex] -- driver 2
[tex]height = 33ft[/tex]
Required
The time they passed each other
First, we determine the function of driver 2.
We have that:
[tex]Rate = 2ft/s[/tex] and [tex]height = 33ft[/tex]
So, the function is:
[tex]h_2(t) = Height - Rate * t[/tex]
[tex]h_2(t) = 33 - 2t[/tex]
The time they drive pass each other is calculated as:
[tex]h(t) = h_2(t)[/tex]
[tex]-16t^2 + 4t + 33= 33 - 2t[/tex]
Collect like terms
[tex]-16t^2 + 4t + 2t= 33 - 33[/tex]
[tex]-16t^2 + 6t= 0[/tex]
Divide through by 2t
[tex]-8t + 3= 0[/tex]
Solve for -8t
[tex]-8t = -3[/tex]
Solve for t
[tex]t = \frac{-3}{-8}[/tex]
[tex]t = 0.375s[/tex]
Which expression is shown in the table above?
Answer:
Step-by-step explanation:
A
Jane found 5 seashells on the beach. Ruby found twice as many as Jane. How many shells did they find together?
Answer:
They found 15 shells
Step-by-step explanation:
First, multiply. 5 × 2 = 10
Then, add. 5 + 10 = 15
Lastly, have a great day!
At local bakery Jonah decorated 3 cakes at a time. Ellen decorated 7 at a time. If they ended up decorating the same number of cakes by the end of the day, what is the smallest number of cakes that each must have decorated?
Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed?
Answer:not A
Step-by-step explanation:
Answer:
stop waiting and do the next question
Step-by-step explanation:
common sense
Can somebody help me out my grade are bad
Answer:
use ph0tomath it'll answer it for you and show how to do it
Joshua mowed yards in his neighborhood to make some money. He charged 4 neighbors $60 each since they hard large yards, 3 neighbors $40 each who had medium sized yards, and 2 neighbors $20 each who had very small yards. How much money did Joshua make? Show your work.
Which object has a capacity that is best measured in pints
1.swimming pool
2. Water Bottle
3. Soup Spoon
4.Trash Barrel
HURRY PLZ I WILL GIVE U BRAINLEST
Simplify the expression, write in expanded form and exponential form.
Answer:
225 x a^4
Step-by-step explanation:
PLS ASAP HELP I WILL GIVE BRAINLIEST
What are the
focus and directrix
of the graph of
y=1/16x^2?
Answer:
Look Below
Step-by-step explanation:
y=1/16x^2
multiplying both sides by 16 we get:
16y=x^2
The general form of a parabola is:
(x-h)^2=4p(y-k)
thus
4p=16
p=4
The parabola opens upwrd:
Focus: (h,k-p)
(0,0-4)
=(0,-4)
Directrix: y=-4
Lincoln had 2 books in his backpack One book had a mass of 3 pounds , 7 ounces and the other mass of 2 pounds 10 ounces what was the total mass , in ounces of the book?
2+3+7+2+10= the answer
10 in
a
8 in
B
Can someone please help me
Answer:
4 in use pythagorean theorem
Step-by-step explanation:
When the function is given in vertex form y = a(x-h)? + k, how is the vertex found?
a. (kh)
b. (x,y)
c. (h,k)
d. (y,x)
Answer:
c. (h, k)
Step-by-step explanation:
Please help me with this.
Answer: Angles: 42°, 114°, 24°, 30°, 150°.
Step-by-step explanation:
can someone please answer all 3 parts to this question with work? will give brainliest
Help plz..And No links!! I repeat No links!! If you don’t know the answer don’t saying anything this is important
Answer:
1500
Step-by-step explanation:
7 plus 8 equal 15 and add two zeros at the end
Answer:
659.73
Step-by-step explanation:
A=2πrh+2πr2
Rachel had 36 quarters. If it costs 4 quarters for each coke from a coke machine, how many could she buy?
Answer:
9 cokes
Step-by-step explanation:
36 divide 4 = 9
please answer it would rly help me out
need help on geomtry
PLS SOMEONE HELP ME FIND THE MISSING ANGLES
Answer:
X=50
Y=40
Step-by-step explanation:
A straight line has an angle of 180 of its both side. 130+x=180
X=50
Y+x+90=180
Y+140=180
Y=40
Answer:
x = 50 degree
y = 40 degree
whats the quadratic curve of best fit for the data. estimate what the value of will be when = −4.
(−3,2), (0,5), (1,7.3), (−1,3.3), (−6,5), (−7,7.3)
Answer:
64 is 4 times the difference between Sarah's age, a, and 44Assume Sarah is older than 44
Step-by-step explanation:
I WILL FIVE BRAINLESS TO THE PERSON THAT ANSWER THIS CORRECTLY
Even wants to make a kneeling pad cushion for when he is this a surface area or volume problem. How much
gardens for long periods of time. It will have the fabric will he need?
Gimensions shown. How much fabric should he buy to surface area, 336 in
cover the cushion?
surface area, 440 in 2
volume, 336 in
volume, 440 in?
12 in
2n
14 in
Answer:
440
Step-by-step explanation:
this is the formula 2(wl+hl+hw)
Answer:
44 in2 your welcom
Step-by-step explanation:
Can someone help me pleaseeee
Answer:
For 20 tickets its 35 dollars
For 50 tickets its 87.50 dollars
For r tickets its 140 dollars
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST!!!!!
Write an inequality for the situation.
Karen has at least 7 dresses.
Answer:
At least 7 < She had 15
A hibernating animal lost 7 pounds.
Write a signed number to represent this weight change.
0
Answer:
sorry po Hindi ko Alam ang answer
The school library has 300 books on the topic of
sports. Students have checked out seventy-four
of those books. How many books on the topic
of sports still remain in the library?
Step-by-step explanation:
226 sports book have a good day
maya cuts a piece of wood into two parts, the first part is 25 cm longer than the second part, .the original length of the wood is 85 cm.how long is each part of the wood?
Marking brainliest
What is your favorite form of getting exercise?
Answer: Playing sports!!
Find the missing length indicated.
Your answer
Answer:
x = 12
Step-by-step explanation:
For the middle size triangle
short leg = x
long leg = (25 - 9) = 16
ratio = x/16
For the small triangle
short leg = 9
long leg = x
ratio = 9/x
Similar triangles are proportional so
Set the ratios equal
x/16 = 9/x
Cross multiply
x² = 144
Take the square root of both sides
x = 12
find YZ pls fast correct
Answer:
44Step-by-step explanation:
According to intersecting chords theorem:
21(2x - 6) = 30(x + 1)42x - 126 = 30x + 3042x - 30x = 126 + 3012x = 156x = 156/12x = 13Find the value of YZ:
YZ = 30 + 13 + 1 = 44[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{21(2x - 6) = 30(x + 1)}[/tex]
[tex]\large\textsf{21(2x) + 21(-6) = 30(x) + 30(1)}[/tex]
[tex]\large\textsf{21(2x) = 42x}[/tex]
[tex]\large\textsf{21(-6) = -126}[/tex]
[tex]\large\textsf{30(x) = 30x}[/tex]
[tex]\large\textsf{30(1) = 30}[/tex]
[tex]\large\textsf{42x - 126 = 30x + 30}[/tex]
[tex]\large\text{Put ALL your LIKE TERMS TOGETHER}[/tex]
[tex]\large\text{NEW EQUATION: \textsf {42x - 30x = 126 + 30}}[/tex]
[tex]\large\textsf{42x - 30x = 12x}[/tex]
[tex]\large\textsf{126 + 30 = 156}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{12x = 156}}[/tex]
[tex]\large\text{DIVIDE 12 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{12x}{12}=\dfrac{156}{12}}[/tex]
[tex]\large\text{CANCEL out: } \mathsf{\dfrac{12}{12}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{156}{12}}\large\text{ because that helps you solve for your the given equation} \\\\\large\text{and your YZ result}[/tex]
[tex]\mathsf{\dfrac{156}{12}=\bf 13}[/tex]
[tex]\large\text{NEW and FINAL EQUATION: \textsf{30 + 1 + 13}}[/tex]
[tex]\large\textsf{30 + 1 + 13}[/tex]
[tex]\large\textsf{30 + 1 = \bf 31}[/tex]
[tex]\large\textsf{= 31 + 13}[/tex]
[tex]\large\textsf{= \bf 44}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf YZ = 44 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
List one way a parallelogram and a rhombus are different