Answer:
[tex]k = 75[/tex]
Step-by-step explanation:
Given
Corresponding sides: 4cm and 3m
Required
Determine the enlargement factor
This is calculated as:
[tex]k = \frac{New}{Old}[/tex]
So:
[tex]k = \frac{3m}{4cm}[/tex]
Convert to cm
[tex]k = \frac{3*100cm}{4cm}[/tex]
[tex]k = \frac{300cm}{4cm}[/tex]
[tex]k = \frac{300}{4}[/tex]
[tex]k = 75[/tex]
12. Elmo is standing on a parade float tossing candy out to everyone. The candy is thrown with a starting velocity of 10
feet per second from a height of 3 feet modeled by the equation: h= -16t2 + 10t + 3
After how many seconds will the ball be 2 feet in the air?
a. 0.125
b. 0.5
c. 0.71
d. 0.625
Answer:
c. 0.71
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
The height of the candy after t seconds is given by the following equation:
[tex]h(t) = -16t^2 + 10t + 3[/tex]
After how many seconds will the ball be 2 feet in the air?
This is t for which [tex]h(t) = 2[/tex]
So
[tex]h(t) = -16t^2 + 10t + 3[/tex]
[tex]2 = -16t^2 + 10t + 3[/tex]
[tex]-16t^2 + 10t + 1 = 0[/tex]
So
[tex]a = -16, b = 10, c = 1[/tex]
[tex]\Delta = b^{2} - 4ac = 10^2 -4(-16)(1) = 164[/tex]
[tex]t_{1} = \frac{-10 + \sqrt{164}}{2*(-16)} = -0.09[/tex]
[tex]t_{2} = \frac{-10 - \sqrt{164}}{2*(-16)} = 0.71[/tex]
Since time is a positive measure, the answer is 0.71, which is option c.
A triangle is formed with side lengths of 7 inches, 24 inches, and 25 inches. is the triangle a right triangle?
Answer:
yes.
and here are some other words bc it needs to be longer than one word.
Answer:
Step-by-step explanation:
jessa has 23 one-dollar bills that she wants to divide equally between her 5 children. How much money will each receive?
They would receive 4.60
Use the distributive property to find the product
5/6 x 2 2/5
Answer:
2
Step-by-step explanation:
For my friend I’ll mark you and thanks you
Identify the holes, horizontal asymptotes, and virtual asymptotes
Answer:
Answer attached
Step-by-step explanation:
can someone awnser this pls decrease 760 by 15%
What is the value of x to the nearest tenth?
37°
2.1
Answer: 2.1 tan 37 = x/2.1 * 2.1. 2.1 tan 37 = x. 1.582463505 =x. To the nearest tenth. 1.6 =x.
Step-by-step explanation:
please hurry and answer
Answer:
(d). 6Step-by-step explanation:
(6)² = 5(6) + 6
36 = 30 + 6
36 = 36
Hence, the right answer is 6.Translate the following sentence into an equation.
Three times the sum of x and y is the same as twice y decreased by x.
Step-by-step explanation:
3(x+y) = 2y -x
hope that helps
Is the following graph exponential? Explain how you know.
(a)
Joanna earns $12 per hour at her job. Last week, Joanna earned $432.
Part A
Which equation can be used to determine the number of hours Joanna worked last week?
Part B
What is the number of hours Joanna worked last week?
Answer
432 divided by 12
she worked 32 hours
Step-by-step explanation:
Which function is the inverse of f(x)=12x+5?
Answer:
that answer is 17x
Step-by-step explanation:
The measure of angle A is 68°. The measure of angle B is 22°. Which statement best describes the relationship between these two angles?
Answer:
They are complementary angles.
Step-by-step explanation:
The sum of their measurements equals 90 degrees.
It says First,show 3/5 of 1/4 on the model. I don't know how pls help me.
Answer:3/20
Step-by-step explanation:
Which conditions are necessary for hail to form?
Answer:
Normally in intense thunderstorm clouds. The temperature should be below 32 degrees Fahrenheit in the clouds where the hail forms, typically there is also large water droplets and strong updrafts.
Answer: The freezing temperature of the air below the cloud causes the water droplets to freeze.
Step-by-step explanation: Weather conditions must be just right in order for hail to occur. The most important factors are dark,gray clouds alongside thunder and lightning in freezing or below freezing temperatures. When thunder is strong enough to raise water droplets up into freezing temperatures,hail is formed.
You go to Giant to buy some candy. You decide to buy snickers because they have a special deal on snickers. A pound of snickers costs $3.45, but if you buy 4 or more pounds, they only cost $3.00per bag. Write a piecewise function to represent this situation.
Answer:
y = x*$3.45 if 0 ≤ x < 4
y = x*$3.00 if 4 ≤ x
Step-by-step explanation:
A piecewise function is a function that behaves differently in diferent intervals of it's domain.
We know that 1lb of candy costs $3.45
But if you buy 4 lb or more, the cost of each lb is $3.00
Then if x represents the number of pounds of candy that you buy, we have the equation:
y = x*$3.45 if 0 ≤ x < 4
y = x*$3.00 if 4 ≤ x
ANOTHER PI DAY QUESTION! LAST ONE!
Pi belongs to which number set?
I would say it would be irrational because PI is said to never end, but it won't take my answer. Any other ideas?
Answer:
I would try saying that it is a real number
Step-by-step explanation:
Answer:
Pi is a Real or Complex number
Hazel invested part of a Php10,000 inheritance in stocks paying 6.5%
simple interest annually. She invested the rest in bonds paying 4.25% simple
interest annually. If Hazel will receive Php 582.50 in interest after one year,
how much did she invest in stocks? How much did she invest in bonds?
Answer:
she invested $7013.33 in stocks and she invested $2986.7 in bonds?
Step-by-step explanation:
Let the amount invested in the stock= X
Let the amount invested in the bond= Y
For quantity equation,
X + Y = 10000 ............eqn(1)
✓We are told inheritance in stocks paying 6.5% simple interest = 0.065X
✓we are told She invested the rest in bonds paying 4.25% simple interest= 0.0425Y
The interest equation can be written as
0.065X + 0.0425Y = 582.50.........eqn(2)
We can make X subject of formula from eqn(1)
X= 10000 - Y
Substitute into eqn (2)
0.065(1000-Y) + 0.0425Y= 582.50
Multiply through by 10000
650(10000 - Y) + 425Y = 5825000
6500000 - 650Y + 425Y =5825000
Y= 2986.66
If we substitute Y into (X + Y )= 10000
X+2986.66= 10000
X= 7013.33
hence, she invested $7013.33 in stocks and she invested $2986.7 in bonds?
300 college students were surveyed on the number of study hours they spend each week.
The results of a sample of 7 students are given in the following table:
Study Hours:
4
10
20
24
34
36
42
Z Score:
- 2.5 - 1.75
- 0.5
0
1.25
1.5
2.25
Percentile Rank:
10
25
35
40
50
75
95
By Inspection, answer the questions in GH2
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
Using the figure below, what is the trigonometric ratio of cos C?
Answer:
8/9 (choice b)
Step-by-step explanation:
The trigonometric ratios are based on the ratios of different sides.
If you remember SOH CAH TOA =
sine (sin) opposite hypotenuse
cosine (cos) adjacent hypotenuse
tangent (tan) opposite adjacent
__________________________
This is a nuemonic for these ratios.
the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.
So cos C = adjacent side / hypotenuse side.
Since 18 is greater than 16 and 9, 18 is the hypotenuse.
the adjacent side is the side other than the opposite side and the hypotenuse which is 16
therefore cos C = 16 / 18 = 8 / 9.
The company’s president would like to examine the sampling distribution of the sample proportion of east regional responsibility. What proportion of the first sample (Andrew, Beth) has an east regional responsibility?
Answer:
the answer is 1
Step-by-step explanation:
got it right on edge
PSSS I REALLY NEED HELP
Answer:
x=7.45
Step-by-step explanation:
Hey There!
For this one we are going to solve for x using trigonometry
Law of Sines to be more specific
So basically [tex]\frac{7}{sin(70)} = \frac{x}{sin(90)}[/tex]
Step on multiply each side by sin(90)
now we have
[tex]x=\frac{7*sin(90)}{sin(70)}[/tex]
7*sin90=7
[tex]\frac{7}{sin70} =7.4492944407[/tex]
Then we just round to the nearest hundredth which would make it into 7.45
Therefore x=7.45
Find the angle x, between the tops of two steel beams in front and on top of the building. Round your answer to the nearest tenth if needed.
Answer:
55 Degrees
Step-by-step explanation:
a group of 65 adults were surveyed about their favorite healthy snack. approximately how many adults out of the 65 surveyed chose banana chips as their favorite?
Answer:
A
Step-by-step explanation:
23%×65≈14.95≈15
Answer:
15 is the answer a
Step-by-step explanation:
.23×65=14.95
2 ways you could show each amount of money
Answer:
You can show the amount of money by using a model or to show equations.
Step-by-step explanation:
Answer choices
396 ft2
420ft2
450 ft2
It’s not 420 I got it wrong
Answer:
396 ft²
Step-by-step explanation:
Area of the figure = area of the rectangle + area of the triangle
= L*W + ½*bh
L = 20 ft
W = 15 ft
b = 12 ft
h = 16 ft
Area of the figure = 20*15 + ½*12*16
= 300 + 96
= 396 ft²
I need help with this
9514 1404 393
Answer:
vertical shrink by a factor of 1/3shift right 2 unitsshift down 4 unitsStep-by-step explanation:
The transformations of interest here are ...
g(x) = k·f(x) . . . . . vertically scale f(x) by a factor of k
g(x) = f(x -h) . . . . shift f(x) right by h units
g(x) = f(x) +k . . . . shift f(x) up by k units
__
Working left to right, the first factor we encounter is 1/3, multiplying the value that is cubed. This means the vertical scale factor of f(x) = x^3 is 1/3. A scale factor less than 1 represents a shrink, so ...
transformation #1 = shrink by a factor of 1/3
The next number we encounter is -2 in the factor (x -2)^3. This means h=2 in f(x -h) = (x -2)^3. The horizontal shift right is 2 units:
transformation #2 = right shift 2 units
Finally, we encounter the number -4. This means k=-4 in g(x)=f(x)+k. The up-shift is negative, so ...
transformation #3 = shift down 4 units
__
The right- and down-shifts can be done in either order. Here, we have done them as we see them when scanning the equation left-to-right. The vertical scaling must be done before the down-shift, so that it does not affect the amount of down-shift.
look at the picture I attached
Answer:
20
Step-by-step explanation:
hope this helps
Answer:
-4
Step-by-step explanation:
when you add a negative, you are subtracting it still. the same way you get to 12 from 8 is by 4. in this situation the 4 would be negative
y=2/5x-1 What can be a Scenerio?
Answer:
y=mx+b to find the slope m and y-intercept b.Slope: 2 5y-intercept: (0,−1)
Step-by-step explanation:
i hope this helped