Answer:
1.277s and 0.098s
Step-by-step explanation:
Given the height of the ball modelled by the equation
h(t) = -16t^2+22t+6, where;
t is the time in seconds
To calculate the time interval (in seconds) in which the height of the basketball is 8 feet, we will simply substitute h(t) = 8 into the expression and calculate t as shown;
8 = -16t^2+22t+6
Divide through by 2
4 = -8t^2+11t+3
-8t^2+11t+3-4 = 0
8t^2-11t+1 = 0
t = 11±√11²-4(8)/2(8)
t = 11±√121-32/16
t = 11±√89/16
t = 11±9.43/16
t = 11+9.43/16 and t = 11-9.43/16
t = 20.43/16 and t = 1.57/16
t = 1.277s and t = 0.098s
Hence the time interval to the nearest thousands are 1.277s and 0.098s
Rita bought 14 yards of fabric for $73.50. If the cost is proportional to the yardage, what is the constant of proportionality?
A.
$5.05 per yard
B.
$5.20 per yard
C.
$5.15 per yard
D.
$5.25 per yard
Hiker's Elevation 3,000 Hiking The scatter plot shows a hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation of a trend line for the hiker's elevation is y=9.84x + 651, where x represents the number of minutes and y represents the hiker's elevation in feet. Use the equation of the trend line to estimate the hiker's elevation after 140 minutes.
Answer:
2023
Step-by-step explanation:
simplify -√2-4√4-3√2
Answer:
Step-by-step explanation:
-4√2-8
Answer:
[tex]-4\sqrt{2} -4\sqrt{4}[/tex]
HELP! ASAP ROCKY STYLE I NEED THIS ANSWER
Answer:
x= 1 y= +10
Step-by-step explanation:
Answer:
1) y=3x+2 2) 11
Step-by-step explanation:
you can use the first y and x points to solve this.
fot the first one you cna do 4 times 3 to get 12 and then you add 2 to get 14.
you are trying to turn the x intot he y value.
For the second question, you can use the formula you just created int the first question to answer it, just plug in the numbers
y=3 times 3 +2=11
Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?
Answer:kara Had $17-$12. Pizza cost =leave u with $5 x.50=10topping
Step-by-step explanation:
Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35and an additional fee of $12per class taken. Rebekah's goal is for each customer to spend at least $100 at the studio, and she wants to know the minimum number of classes a customer needs to take to meet that goal.
Answer:
Step-by-step explanation:
12 x 5 = 60 + 35 = 85, and we cannot go any higher without exceeding 100. However it would be different if it was a decimal. So for now the answer would be 5 classes added with the initial one time fee of 35 dollars.
selena paid $15.00 for 6 gallons of gasoline what was the price per gallon
Answer:
$2.50
Step-by-step explanation:
Is Selena paid $15 for 6 gallons and you want to find the price for one gallon, all you need to do is divide the price of 6 gallons ($15) by the number of gallons (6).
15/6 = 2.5. Your answer is $2.50. Hope this helps ^-^
how much was asher initial deposit
Consider the equation:
2x^2-20x=x^2-19
PLS HELP I WILL GIVE BRAINLIEST
Answer:
6x-2
Step-by-step explanation:
the side lengths are x+2, x+2, 2x-3 and 2x-3
(the other two are the same as the ones shown because it's a rectangle)
when you combine like terms you get 2x+4 and 4x-6
combine like terms again and you get 6x-2
hope this helps :)
help me asap 10 points
Answer:
domain 22 range 43 .....
Can someone help me please
Answer:
28deg
Step-by-step explanation:
sin x deg = 15/32
x = sin^-1 (15/32) = 27.953 (3dp) = 28 (nearest deg)
This is a topic on trigonometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!
Help pls will mark brainliest
Answer:
2x^2 - 2x + 5
Step-by-step explanation:
so the south side is the bottom of the rectangle
you just add all the expressions given on the bottom which are
5x +2 , x^2 - 9 , x^2 - 7x + 12
so add 5x +2 + x^2 - 9 + x^2 - 7x + 12
add like terms and you get
2x^2 - 2x + 5
I hope that makes sense :)
What is the value of (3.4)2
Answer:
The answer is 6.8
Step-by-step explanation:
2(3.4) means 2 times 3 point 4
3.4 + 3.4 = 6.8
help!! i need help asap! help is very much appreciated
Answer:
Step-by-step explanation:
A and B are the side lengths. C is the hypotenuse (the longest side).
For triangle A)
a^2+b^2=c^2
(it won't let me add exponents but you get the point)
4^2+2^2=c^2
8+4=c^2
12=c^2
c=square root of 12
For B)
a^2+b^2=c^2
2^2+5^2=c^2
4+10=c^2
After solving, it doesnt
add up to 45
For each of the following, use the given information/picture to write an equation in point-slope form. Just the ones that have the yellow highlight.
Answer:
4. y = -x + 8
9. y = 3/2x + 15
16. y = 1/2x -5
20. y = -3/5x + 16
13. y = -1/2x + 1
14. y = 3/4x - 2
Step-by-step explanation:
4. 5=3(-1)+b = 8
9. 6=-6(3/2)+b=15
16. [tex]\frac{1--2}{12-6} =\frac{3}{6} = \frac{1}{2}[/tex]
-2= (1/2)6 + b = -5
20. [tex]\frac{19-13}{-5-5}= -\frac{6}{10} =-\frac{3}{5}[/tex]
19 = -3/5(-5) + b = 16
UN PASTEL SE CORTA QUITANDO CADA VEZ LA TERCERA PARTE DEL PASTEL QUE HAY EN EL MOMENTO DE CORTAR ¿QUE FRACCION DEL PASTEL ORIGINAL QUEDO DESPUES DE CORTAR TRES VECES?
Answer:
No queda nada del pastel.
Step-by-step explanation:
El pastel representaria un entero, si al entero lo dividimos en tercios, son tres tercios los que los conforman, por ende si lo cortamos tres veces, en el primer corte quedarian dos tercios de pastel, en el segundo corte un tercio, y en el tercer corte el ultimo tercio , generando asi que no quede nada de este.
Los enteros se dividen en cuartos, tercios y hasta octavos, o muchas mas fracciones.
Un entero es equivalente a 4 porciones de 1/4 y a 3 porciones de 1/3
Does doubling the radius of a sphere double the surface area? Explain your reasoning using an example.
Answer:
yes
Step-by-step explanation:
because area of sphere equals =
[tex]4\pi \: r{2} [/tex]
so if we doubled the radius the surface area will be doubled
Write the following statement
as a conditional statement.
Stars have ten vertices.
If a figure is a star. then it has ten vertices
If figure has ten vertices. then it is a star.
A figure is a star. If and only if it has ten vertices
Star are figures with en vence:
Answer:
if a figure has ten vertices then it is a star
The diagonal of a square is 15 inches. Find the area of the square.
Answer:
112.5in²
Step-by-step explanation:
Answer
[tex]225in^{2}[/tex]
Step-by-step explanation:
hope this helped :-)
7-[tex]7=\frac{w}{4} -10[/tex]
Answer:
w = 68
Step-by-step explanation:
7 = w/4 - 10
~Simplify
7 = 1/4w - 10
~Add 10 to both sides
17 = 1/4w
~Multiply 4 to both sides
68 = w
Best of Luck!
Miss Sullivan owns a farm where she has a total of 28 birds and dogs the total number of legs on those animals is 70 how many dogs and how many birds are on the farm
Answer:
21 birds and 7 dogs
Step-by-step explanation:
Represent Birds with B and Dogs with D
[tex]B + D = 28[/tex] ----- Total Animals
A bird has 2 legs and a dog has 4, so:
[tex]2B + 4D = 70[/tex] ---- Legs
Required
Solve for D and B
Make D the subject in the first equation
[tex]D = 28 - B[/tex]
Substitute 28 - B for D in the second
[tex]2B + 4(28 - B) = 70[/tex]
[tex]2B + 112 - 4B = 70[/tex]
Collect Like Terms
[tex]2B - 4B = 70 - 112[/tex]
[tex]-2B = -42[/tex]
Solve for B
[tex]B = -42/-2[/tex]
[tex]B = 21[/tex]
Recall that: [tex]D = 28 - B[/tex]
[tex]D = 28 - 21[/tex]
[tex]D = 7[/tex]
Hence, there are 21 birds and 7 dogs
45a^3b^4+36a^2b^5 ÷ 9a^2b^4
Using the similar triangles, which equation could be used to find the slope of line AB?
A)slope=p/q
B)slope=q/p
C)slope=n/m
D)slope=q/n
Answer:
A) slope = p/q
Step-by-step explanation:
Slope of any given can be found using the formula, [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.
This means, slope of line AB would be:
[tex] \frac{rise}{run} = \frac{m}{n} = \frac{p}{q}
[/tex].
✅Therefore, slope of line AB = p/q
a reflection across the y-axis maps the point (4,-5) to the point
Answer:
(-5, 4)
Step-by-step explanation:
Pls mark brainliest, I need 4 more to lvl-up.
its one in the morning and i cant sleep
Answer:
hey how r u doing ?
Step-by-step explanation:
........aags
Answer:
its 2:14 and I'll never sleep
find 11 expressions using only fives, that equal either 0,1,2,3,4,5,6,7,8,9,10
Answer and Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
5 + 5
5
5/5
5/5 + 5
5/5 + 5/5
5/5 + 5/5 + 5/5
5/5 + 5/5 + 5/5 + 5/5
5 + 5/5 + 5/5
5 + 5/5 + 5/5 + 5/5
5 + 5/5 + 5/5 + 5/5 + 5/5
5 - 5
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
Hu is installing a new window in his bedroom wall. He wants to center it horizontally. The window is 40 1/2 inches long, and the wall is 105 1/4 inches long. How far from each edge of the wall should Hu install the window? Type the number only, as a decimal or fraction. What is the answer?
Given :
Hu is installing a new window in his bedroom wall. He wants to center it horizontally.
The window is 40 1/2= 81/2 inches long, and the wall is 105 1/4= 421/4 inches long.
To Find :
How far from each edge of the wall should Hu install the window.
Solution :
Remaining size,
[tex]R = \dfrac{421}{4}-\dfrac{81}{2}\\\\R = \dfrac{259}{4}\ inches[/tex]
So, distance of the window form eah edge is [tex]\dfrac{R}{2}=\dfrac{259}{8}\ inches[/tex].
Hence, this is the required solution.
HELP ASAP!!! WILL GIVE BRAINLIEST which expression gives the length of pq in the triangle shown below?
Answer:
C
Step-by-step explanation:
The Pythagorean Theorem says [tex]a^{2} +b^{2} =c^{2}[/tex], with c being the hypothomes, which is not part of the right angle. So, when you square a and b, you get [tex]c^{2}[/tex]. To find the value of c, you find its square root.
Hope I helped!!!
If you have 382 blocks that cost 44$ how much would it cost for 1 block
Answer:
Im pretty sure the answer in $8.70
Step-by-step explanation:
All you have to do is 382 divided by 44
Answer:
about 0.12 cents dollars or 12 cents.
Step-by-step explanation:
I divided 44 and 382. Hope this helps!