Answer:
t = 0.5 seconds
Step-by-step explanation:
Given formula:
[tex]h=-16t^2+s[/tex]
where:
h = height above the ground (in feet)t = time after dropping the treat (in seconds)Dan drops the treat 5 feet above the ground.
Therefore, when t = 0, h = 5 ft.
To find the value of s, substitute these values into the given formula:
[tex]\implies -16(0)^2+s=5[/tex]
[tex]\implies s=5[/tex]
Therefore:
[tex]h=-16t^2+5[/tex]
To calculate how long the treat falls before Lola catches it, substitute h = 1.5 into the formula:
[tex]\implies -16t^2+5=1.5[/tex]
[tex]\implies -16t^2=-3.5[/tex]
[tex]\implies t^2=0.21875[/tex]
[tex]\implies t=\sqrt{0.21875}[/tex]
[tex]\implies t=\pm0.467707173...[/tex]
[tex]\implies t=\pm0.5\; \; \sf (nearest\;tenth)[/tex]
As time is positive, t = 0.5 seconds (nearest tenth) only.
Therefore, it took 0.5 seconds for Lola to catch the treat after it fell.
write one lakh ninety thousand eight hundred and fifty in digits
Answer:
it is
190850
it is the correct answer
Step-by-step explanation:
1,90,850 is your answer...
hope it helps
Equations of Exponential Functions
Given the following equation of an exponential function
C = 10.5(1.194)t
determine the base, b, of the exponential model. Is the base a growth or decay factor?
a. b is 1.94; It is a growth factor.
b. b is 1.194; It is a decay factor.
c. b is 10.5; It is a growth factor.
d. b is 10.5; It is a decay factor.
Please select the best answer from the choices provided
Answer:
A. B is 1.194; It is a growth factor.
Step-by-step explanation:
I calculated it logically
Rhombus LMNO is shown with its diagonals.
Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent.
The length of LN is 28 centimeters. What is the length of LP?
7 cm
9 cm
14 cm
21 cm
Answer:
14 cm
Step-by-step explanation:
The length of the line segment, LP is; 14 cm
Diagonals of a RhombusFrom the task content, it follows that the diagonal LN of the Rhombus has length, 28 centimetres.
However, from the task content also, the point P is the point of intersection of the two diagonals.
On this note, it follows that P is the midpoint of line LN and the length of line LP is therefore;
LP = 28/2 = 14 cm.Read more on Diagonals of a Rhombus;
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Find Mn to the nearest tenth
Answer:
B. 23.8
Step-by-step explanation:
Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)
c = length of side you are finding
a = length of side a
b = length of side b
y =angle opposite c
Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 83 Sophomores 68 Juniors 85 Seniors 64 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The calculated value for the test statistic equals a. 6.66. b. 1.66. c. .54. d. .65. Icon Key
Answer:
1.66
Step-by-step explanation:
Using the Chi square statistic (χ²) test :
χ² = Σ(Oi - Ei)² / Ei
Expected, Ei :
Freshmen = 30% * 300 = 90
Sophomore =24% * 300 = 72
Junior = 26% * 300 = 78
Senior = 20% * 300 = 60
Observed, Oi :
Freshmen = 83
Sophomore = 68
Junior = 85
Senior = 64
χ² = ((83 - 90)²/90) + ((68 - 72)²/72) + ((85 - 78)²/78) + (64 - 60)²/60)
χ² = 49/90 + 16/72 + 49/78 + 16/60
χ² = 0.544 + 0.222 + 0.628 + 0.267
χ² = 1.661
The test statistic = 1.66
Well hi and hi and please help 10 points
Customary American Units of Capacity
1 cup = 8 ounces
1 pint = 2 cups or 16 ounces
1 quart = 2 pints, 4 cups, or 32 ounces
1 gallon = 4 quarts, 8 pints, 16 cups, or 128 ounces
5 quarts 4 pints =____ pints
Answer:
14
Step-by-step explanation:
5 quarts = 10 pints
10 pints + 4 pints = 14 pints
Guys, how many triangles are in this picture? Triangles with stripes inside also count
Therefore , as a result Two of a triangle's sides and the included SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.
What is the SAS?The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.
Here,
if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.
Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.
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Keenan is buying tires. Keenan has to spend 2 dollars for each tire purchased
Answer:
what's the question? I don't know
HELP ME PLEASE I HAVE NO CLUE
Answer:
tan =opposite divided by adjacent
therefore tan j is 11÷60 = 0.1833
tan-1 0.1833= 10.39
so tan j is 10.39
tan l is 60 ÷11 = 5.4545
tan-1 5. 4545= 79.61
hope it made sense
what are the types of sneakers the students in our school wear? Is this a statistical question?
Answer:
No.
Step-by-step explanation:
This is not statistical because a statistical question is a question that can be answered by collecting data that vary. Data pertains to numbers. Your question is not asking for numbers.
use partial quotients to solve
5,140÷9=
Answer: 571.11111...(Fraction: 9/28)
Step-by-step explanation:
5,140÷9 = 571.11111...
What is the expression?
Answer:
F=1.8C+32
113°F
Step-by-step explanation:
F=1.8C+32
F=1.8(45)+32
F=81+32
F=113
Answers:
The expression is 1.8C+32The given Celsius temperature converts to 113 degrees Fahrenheit==================================================
Explanation:
C = temperature in Celsius
1.8C = multiply C by 1.8
1.8C+32 = add on 32
The expression 1.8C+32 is the first part of the answer.
This represents the temperature in Fahrenheit.
----------
Now replace C with 45 and use the order of operations (PEMDAS) to simplify
1.8*C + 32
1.8*45 + 32
81 + 32
113
Therefore, 45 degrees Celsius converts to 113 degrees Fahrenheit.
Goran invested his savings in two investment funds. The amount he invested in Fund A was 7000 less than the amount he invested in Fund B. Fund A returned a 4% profit and Fund B returned a 2% profit. How much did he invest in Fund B, if the total profit from the two funds together was 500?
If Goran invested his savings in two investment funds. The amount that Goran invest in Fund B, if the total profit from the two funds together was 500?
How to find the amount invested?Amount Invested in Fund A = x
Amount invested in Fund B = x+7000
Profit from fund A = 0.04x
Profit from fund B = 0.02(x+7000)
0.04x +0.02(x+7000) = 500
0.04 +0.02x + 140 =500
Combine like terms
0.06 x =360
Divide both side by 0.06x
x = 360 /0.06
x = 6,000
Amount Invested in Fund A = x =6,000
Amount invested in Fund B = x+7000
Amount invested in Fund B = 6,000 + 7,000
Amount invested in Fund B = 13,000
Therefore the amount invested in Fund A 6,000 and the Fund B is 13,000.
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A large ice cream cone can hold 143.56 cm of ice cream. The cone is 15 cm tall. What is the radius of the base of the cone? Be sure your answer is in the proper units. Round your answer to the nearest hundredth.
Answer:
r = 3.02 cm
Step-by-step explanation:
V cone = πr²h/3
r = √(3V/πh)
r = √(3(143.56)/π(15))
r = 3.0231297
Edet took sixth at the end of term test and each test was marked out of 80. If his marks were 48, 52, 46, 46, 44 and 52. What percentage of the total marks did he get?
The percentage of the total marks that Edet gets is 60%
How to calculate the percentage?The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
In this situation, the score of Edet will be:
= 48 + 52 + 46 + 46 + 44 + 52
= 288
Total score = 80 × 6
= 480
The percentage will be:
= 288 / 480 × 100
= 60%
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50 POINTSSS!!!!!! PLS HURRRYYYYY!!!!!!! A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?
1 The mean of the data will not be between 81 – 90.
2 All the data lies below 80.
3 The relative frequency of the class 81 – 90 is 0.
4 The median could be in the range 81 – 90
Answer:
3
Step-by-step explanation:
A contour map is shown for a function f on the square R = [0, 8] [0, 8].
(a) Use the Midpoint Rule with m = n = 2 to estimate the value of ∫∫R f(x,y) dA. (Round your answer to the nearest integer.)
1360 ×
(b) Estimate the average value of f. (Round your answer to one decimal place.)
21.3 ×
The average value of f is 16.25.
What is contour map?A contour line of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. It is a plane section of the three-dimensional graph of the function f parallel to the-plane.
Given that, a contour map is shown for a function f on the square R = [0, 8] [0, 8].
Since the given square is 8 by 8 and we are using m=n=2, then each sub-rectangle is 4 by 4. So, the area of the given rectangle is 64 and the area of each sub-rectangle is 16, that is, ΔA=16
Furthermore, the centers of the sub-rectangles are (2,2),(2,6),(6,2),(6,6).
a) The estimated value of [tex]\int\limits\int\limits_R f{x} \, dA[/tex]
=16⋅f(2,2)+16⋅f(2,6)+16⋅f(6,2)+16⋅f(6,6)
≈16⋅27+16⋅3+16⋅12+16⋅23
≈1040
b) The average value of f will be
[tex]f_{avg}=\frac{1}{A}.\int\limits\int\limits_R (x, y) \, dA[/tex]
≈ 1/64 ×1040
≈ 16.25
Therefore, the average value of f is 16.25.
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The graph of the given inequality y < 4x - 5 is attached below.
What is graph of inequality?
Treat the <, ≤, >, ≥ or sign as a = sign when putting an inequality on a graph. Graph the equation as a dotted line if the inequality is either < or >. Graph the equation as a solid line if the inequality is either ≤ or ≥.
A region on one side of a line can be used to graphically represent an inequality. For the purpose of indicating that a line is not a part of the region, inequality plots that use the < or > symbols have a dashed line. Plotting a solid line indicates that an inequality that uses the symbol
"≤ or ≥" is included in the region.
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Joe earned 2,100$.He spent 1/5 on rent and 1/3 on food.How much money did he have left
Answer:
$980
Step-by-step explanation:
Step 1: Find [tex]\frac{1}{5}[/tex] of 2100 = 420
[tex]\frac{1}{5}\times \:2100[/tex]Convert 2100 to a fraction: [tex]\:2100=\frac{2100}{1}[/tex][tex]=\frac{1}{5}\times \frac{2100}{1}[/tex]Cross Divide[tex]2100 \div 5 = 420[/tex]Step 2: Find [tex]\frac{1}{3}[/tex] of 2100 = 700
[tex]\frac{1}{3}\times \:2100[/tex]Convert 2100 to a fraction: [tex]\:2100=\frac{2100}{1}[/tex][tex]=\frac{1}{3}\times \frac{2100}{1}[/tex]Cross Divide[tex]2100 \div 3 = 700[/tex]Step 3: Add both results together
[tex]420 + 700 = 1120[/tex]
Step 4: Subtract the result from how much joe earns ($2,100)
[tex]2100 - 1120 = 980[/tex]
Joe has $980 left
If Joe earned 2,100$ and He spent 1/5 on rent and 1/3 on food, Joe had $980 left after paying for rent and food.
Joe earned $2,100 and spent 1/5 of it on rent and 1/3 on food. To calculate the amount he spent on rent, we need to find 1/5 of $2,100, which is
(1/5) * $2,100 = $420.
Similarly, the amount he spent on food is found by calculating 1/3 of $2,100, which is (1/3) * $2,100 = $700.
To determine how much money Joe had left, we subtract the total amount he spent from his earnings. Adding the amounts spent on rent and food, we get $420 + $700 = $1,120.
To find the money Joe had left, we subtract the total spent from his earnings: $2,100 - $1,120 = $980.
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What is an equation of the line that passes through the points (6, -7) and (-6,3)?
Answer:
y=-5/6x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-(-7))/(-6-6)
m=(3+7)/-12
m=10/-12
simplify
m=-5/6
y-y1=m(x-x1)
y-(-7)=-5/6(x-6)
y+7=-5/6x+30/6
y+7=-5/6x+5
y=-5/6x+5-7
y=-5/6x-2
Pls I really need help with this. I need 5, 6, and 7
Answer:
5. F, G, L, and A are the vertices.
6. The answer is isosceles trapezoid.
If two obtuse angles are next to each other (100° and 100°) and followed by two acute angles next to each other as well ((80° and 80°), the shape is trapezoid. Trapezoid is quadrilateral shape that has a pair of parallel sides parallel. When angles on each of its base are equal, trapezoid is called isosceles trapezoid.
7. No. A trapezoid is a quadrilateral, and therefore must have an interior angle sum of 360 degrees. Any obtuse angles must be offset by acute ones, unless they’re all right angles/it’s a rectangle.
91 + 91 + 91 + 91 = 364 > 360.
An obtuse angle always lies between 90° and 180°.
Step-by-step explanation:
Have a nice day!
a doughnut factory can make 1980 doughnuts in 1.5 hr how long would it take to make 6600 doughnuts
Answer: 5 Hours
Step-by-step explanation:
Divide 6600 by the amount per 1.5 hours.
6600 / 1980 = 3.333
Multiply the answer by the 1.5 hours.
1.5 x 3.333 = 5
Find the length of the third side. If necessary, round to the nearest
tenth.
Answer:
7.5
Step-by-step explanation:
Using pythagoras theorem
Sqrt(9^2-5^2)=7.483
PLEASE HELP! Image below. This is due in 10 Minutes!
Answer:
9 x 3.5 = 31.5 (area of rectangle now time for the trapezoid!)
Area of little square:
2 x 2 = 4
Area of two triangles:
2 x 2 = 4
4 divided by 2 = 2
5 x 2 = 10
10 divided by 2 = 5
The summed up area's of triangles:
5 + 2 = 7
7 + 4(little square's area) = 11
11 + 31.5 = 42.5
if you randomly choose a number 1-10 what is the probability of choosing either an odd number or an even number
Answer:
wouldn't it be a 10/10 for probability just my thoughts
Find the measure of the angle.
The angle turns through
1/10
of the circle.
What measure is the angle?
Answer:
radian
Step-by-step explanation:
1/10 circle or degree The SI derived unit for angle is the radian. 1 radian is equal to 1.591549430919 or 1/10 circle, or 57.295779513082 degree.
36 deg
1/10 of a circle is equal to 36 deg.
Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces
Answer:
$0.10 per piece means $0.40 for 1 apple there are 12 in a dozen so multiply it by 12 which would be $4.80 for a dozen multiply again by 3
$14.40 for 3 dozen I'm pretty sure
geometric sequence
plz help me
thank you
Answer:thats your answer
Step-by-step explanation:
PLZ HELP
Solve each equation.
a.(8.5) ⋅ (- 3) = a
b.(- 7) + b = (-11)
c.c - (- 3) = 15
d.d⋅ (-4) = 32
Answer:
[tex]a = - 25.5 \\ b = - 4 \\ c = 12 \\ d = - 8[/tex]