Answers
Since for each succeeding minute the balloon rises 70% as much as it did in the previous minute, and in the first minute the balloon rises 250 ft, then in the minute n the balloon rises
[tex]250*0.70^{n-1}ft.[/tex]Therefore the height of the balloon in the minute n is
[tex]\sum_{k\mathop{=}1}^n250*0.70^{k-1}ft.[/tex]Therefore the height of the balloon in the minute 8 is:
[tex]\begin{gathered} 250*0.70^0ft+250*0.70^1ft+250*0.70^2ft+250*0.70^3ft \\ +250*0.70^4ft+250*0.70^5ft+250*0.70^6ft+250*0.70^7ft \\ \approx785.30ft \end{gathered}[/tex]Answer: Option d.
Related Questions
Which of these four figures are congruent to the top figure? OD ОС ОА B
Answers
Congruency is the the quality of two things to be similar to each other.
The shape we use as reference is a parallelogram that has the three blue dots distributed along its longer diagonal with minimal space between them.
Therefore, any other shape congruent to it must agree to this condition.
Option C agrees to this condition.
A book sold 39,800 copies in its first month of release. Suppose this represents 9.3% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.
Answers
The number of copies is 3,701 which has been sold to date.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The book sold 39,800 copies in its first month of release.
Given that 9.3% of the number of copies sold to date.
To determine the number of copies has been sold to date.
⇒ 9.3% of 39,800 copies
⇒ (9.3/100) × 39,800
⇒ (0.093) × 39,800
⇒ 3,701.4
Round to the nearest whole number.
⇒ 3,701
Thus, the number of copies is 3,701 which has been sold to date.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ1
Will the slope here be -7? I’m not sure on this
Answers
In the given graph, the line passes through at y = -7
Thus equation of line is y = -7
The general equation of line represent as;
[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ or\text{ } \\ y-y_1=m(x-x_1),m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]Consider any two coordinate as; (0 ,-7) and (2, -7)
Substitute this coordinate in the equation of line as;
[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-(-7)=\frac{-7-(-7)}{2-0}(x-0) \\ y+7=\frac{-7+7}{2}x \\ y+7=0x \end{gathered}[/tex]Thus, here slope = 0
For the vertical intercept, x= 0 and y = -7
Therefore;
....................
The distance between Bricktown and Koala Creek is 75 km. A person travels from Bricktown to Koala Creek at an average speed of 50 km/h.How long does it take the person to complete the journey?
Answers
distance = 75 km
speed = 50 km/h
Speed = distance / time
time = Distance / speed
Time = 75 km / 50 km/h = 1.5 hours = 1 hour 30 minutes
Need help with this graph.Given the inequality: y < 3x+1. Identify the graph that describes the inequality.
Answers
The Solution:
Given the inequality below:
[tex]y<3x+1[/tex]We are required to the graph that describes the graph above.
[tex]\begin{gathered} \text{ when x=0} \\ y=3(0)+1=1 \\ (0,1) \\ \text{ When y=0} \\ 0=3x+1 \\ -1=3x \\ x=-\frac{1}{3} \\ (-\frac{1}{3},0) \end{gathered}[/tex]The required graph is attached below:
Find the slope-intercept equation of the line satisfying: Y-Int is 4 and goes through (1,8).
Answers
Let's recall that the slope-intercept equation of a line has the form
[tex]y=mx+b,[/tex]where "m" is the slope, and "b" is the y-intercept. We know that the y-intercept is 4; then, our equation becomes
[tex]y=mx+4.[/tex]The trick to finding the slope is to note that the point (1,8) lies on the line; namely, we can evaluate the equation of the line in this point:
[tex]8=m\cdot1+4.[/tex]Solving this equation for m, we get
[tex]\begin{gathered} 8=m\cdot1+4, \\ 8=m+4, \\ 8-4=m+4-4, \\ 4=m, \\ m=4. \end{gathered}[/tex]AnswerThe equation of the line satisfying the provided conditions is
[tex]y=4x+4.[/tex]how to draw a double number line representing a 1:4 ratio
Answers
e are asked to draw a double number line representing a 1:4 ratio. To do that we will follow the next steps.
1. Draw two parallel lines each ending in arrows, like this:
2. Label the beginning of each line with zero, like this:
3. Label the first line with units, like this:
4. Each corresponding unit in the second line will be the unit in the first line multiplied by 4, since we need a ratio of 1:4
6) Which type of transformation creates an image where the area of the shape changes? A) translations B) rotations C) reflections D) dilations
Answers
The transformation that changes the area of a shape is dilation (Option D)
Step by step explanation
Option A: Translation
A translation is a geometric transformation that moves every point of a figure, shape, or space by the same distance in a given direction. For this type, the image is congruent with the original shape.
Option B: Rotation
A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. For this type, the image is congruent with the original shape.
Option C: Reflection
A reflection is a transformation where each point in a shape appears at an equal distance on the opposite side of a given line - the line of reflection. For this type, the image is congruent with the original shape.
Option D: Dilations
Dilation in math is a transformation that changes the size of a figure so it becomes larger or smaller without changing shape. This type changes the area since the area is the size of a figure.
is the prime factorization of what composite number?
Answers
A factor of a number is called a prime factor.
The prime factor of a number is obtained by a factor tree method or by a division method.
The expression of a given number as a product of factors is called prime factorisation.
The prime number has 1 and the number itself is a factor.
The composite number will have more than one factor.
A number which is not a prime number is a composite.
1 and the number itself are not included in the prime factorisation of a composite number.
let us take the example
For the number 20, the prime factors are 2*2*5.
The above example is an example of the prime factorization of the composite number. where 1 and the number itself are not included in the prime factorisation of a composite number.
Answer:
But they can be broken down into prime numbers the process of writing out the prime numbers that make up a composite number is known as prime factorization
Step-by-step explanation:
Multiply pair conjugates using Product of Conjugates Pattern ( xy-9)(xy +9)
Answers
Given the following pair of conjugates:
[tex]\mleft(xy-9\mright)\mleft(xy+9\mright)[/tex]As shown, the same terms and the different signs
This is called the factor of the square difference
The product will be as follows:
[tex]\mleft(xy-9\mright)\mleft(xy+9\mright)=(xy)^2-(9)^2=x^2y^2-81[/tex]So, the answer will be:
[tex]x^2y^2-81[/tex]Find the exact value of cos (u-v) given that sin u=-7/25, π
c0s v= 12/25,3π/2
a) -3/5
b) -117/25
c) -28/125
d) 13/25
Answers
The exact value of the cosine of the subtraction of angles is equal to - 3 / 5. (Correct choice: A)
How to determine the exact value of a trigonometric expression
In this problem we find the exact value of the sine of an angle set in the third quadrant and the exact value of the cosine of an angle set in the fourth quadrant. Herein we need to determine the cosine of subtraction of two angles:
cos (u - v) = cos u · cos v + sin u · sin v
First, determine the missing cosines and sines by the fundamental trigonometric formula:
cos u < 0, sin v < 0
cos u = - √(1 - sin² u)
cos u = - √[1 - (- 7 / 25)²]
cos u = - 24 / 25
sin v = - √(1 - cos² v)
sin v = - √[1 - (12 / 15)²]
sin v = - 3 / 5
Second, determine the exact value of the trigonometric equation:
cos (u - v) = (- 24 / 25) · (12 / 15) + (- 7 / 25) · (- 3 / 5)
cos (u - v) = - 3 / 5
To learn more on trigonometric equations: https://brainly.com/question/22624805
#SPJ1
What are the coefficients?12x + 8 < 9 + 2X
Answers
This problem is about coefficients.
It's important to know that a coefficient is a number used to multiply a variable. In other words, coefficients are all numbers placed in front of a variable.
Being said that, in this case, coefficients are 12 and 2, because these numbers multiply a variable.
Therefore, the right answer is 12 and 2.Which equation represents the graphed function?1. y=4x-22. y=-4x-23. y=1/4x-24. y=-1/4x-3
Answers
The general equation of a line is:
[tex]y=m\cdot x+b[/tex]Where m is the slope of the line and b its the value of the y-intercept of the line.
Q) The question asks about the equation of a graphed line.
A) In order to find the equation of the line, we note that it passes through the points:
[tex]\begin{gathered} (x_1,y_1)=(0,-2) \\ (x_2,y_2)=(4,-1) \end{gathered}[/tex]The first point give us the value of the y-intercept of the line (b), so the y-intercept is y = -2, and we have:
[tex]b=-2[/tex]Now we must calculate the slope (m) of the line. In general the slope of a line is given by the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x1,y1) and (x2,y2) are the coordinates of two points of the line. Using the points of above and the last formula we find that:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-(-2)}{4-0}=\frac{2-1}{4}=\frac{1}{4}[/tex]Answer
Using the values of m and b, and the general equation, we find that the equation of the line is:
[tex]y=m\cdot x+b=\frac{1}{4}x-2[/tex]Or: y = 1/4 x - 2
So the correct option is option number 3.
this is just a normal not really a long question which we would like to check how it looks in session history.
Answers
check how sort question looks
consider the following data. Find the standard variance .round your answer to one decimal place .
Answers
The variance of a data set is given by the formula:
[tex]s^2=\sum ^{}_i(x_i-\mu)^2P(x_i)[/tex]Where μ is the mean given by the formula:
[tex]\mu=\sum ^{}_ix_iP(x_i)[/tex]Therefore, in our problem:
[tex]\begin{gathered} \mu=3\cdot0.3+4\cdot0.1+5\cdot0.2+6\cdot0.2+7\cdot0.2=4.9 \\ \Rightarrow\mu=4.9 \end{gathered}[/tex]Then, the variance is:
[tex]\begin{gathered} s^2=0.3(3-4.9)^2+0.1(4-4.9)^2+0.2((5-4.9)^2+(6-4.9)^2+(7-4.9)^2) \\ \Rightarrow s^2=2.29 \end{gathered}[/tex]Thus, the variance is 2.29
What is the simple interest on $4000 principal at 5% for 3/4 years
Answers
Answer:
$150
Explanation:
The simple interest can be calculated using the following equation
I = Prt
Where P is the principal, r is the rate as a decimal and t is the number of years.
So, replacing P = $4000, r = 5% = 0.05 and t = 3/4 years, we get:
I = ($4000)(0.05)(3/4)
I = $150
Therefore, the simple interest is $150
“Rewrite the following expression with the fewest terms possible:14x + 6 - 12x + 9y - 1” i need help.please?
Answers
Given the following expression:
[tex]14x+6-12x+9y-1[/tex]You must simplify it if you want to rewrite it with the fewest terms possible.
To simplify the expression you must add the like terms (or combine like terms). Like terms are defined as those terms whose variables and exponents are the same.
Based on the above, you can add the like terms in the expression as following:
[tex]14x+6-12x+9y-1=(14x-12x)+9y+(6-1)=2x+9y+5[/tex]The answer is:
[tex]2x+9y+5[/tex]factoring out; 50y + 100
Answers
Factor the expression 50y + 100.
[tex]\begin{gathered} 50y+100=50y+50\cdot2 \\ =50(y+2) \end{gathered}[/tex]So answer is 50(y + 2).
Activity 1: Determine MeDetermine if the given pair of triangle is congruent. Justify your answer using triangle congruence postulate and theorem
Answers
Answer:
1)
From the given two triangles ABC and DEF
angle B= angle E
side AB= side ED
side BC= side EF
By SAS criterion
If any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule., triangles ABC and DEF are congruent.
2)
From the given triangles HJI and KLI
side HJ=side KL
side JI=side LI
side HI= side KI
By SSS criterion,
If the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
triangles HJI and KLI are congruent.
Diamond spends a total of 45 minutes singing and She burns 5 calories per minute singing and 15 calories per minute dancing.Create an equation comparing the number of minutes Diamond spends singing (s) and the number of minutes she spends dancing (d) to the total number of calories she burns (C).Solve the equation to determine the total number of calories Diamond burns if she spends 20 minutes of her time singing.my teacher said base the on her spending 20 minutes singing
Answers
Answer:
475 calories.
Explanation:
The number of minutes Diamond spends singing = s
The number of minutes she spends dancing =d
Since she spends a total of 45 minutes singing
• s+d=45
Since she spends 20 minutes of her time singing.
• s=20 minutes
Substitution into: s+d=45
[tex]\begin{gathered} 20+d=45 \\ d=45-20=25 \end{gathered}[/tex][tex]\text{Rate}=\frac{Number\text{ of calories burned}}{Time}[/tex]The number of calories burned = Time X Rate
Therefore:
[tex]C=5s+15d[/tex]We then substitute s=20 minutes, d=25 minutes into C.
[tex]\begin{gathered} C=5s+15d \\ =5(20)+15(25) \\ =100+375 \\ =475 \end{gathered}[/tex]The total number of calories Diamond burns is 475 calories.
The following refer to the following data set:31.8 63.4 47.2 26.8 44.632.8 63.4 63.4 45.4 59.4What is the arithmetic mean of this data set?mean -What is the median of this data mset?median -What is the mode of this data set?mode
Answers
Which of the following ordered pairs could Briggs add to the graph?
Answers
Answer: B
Step-by-step explanation:
The next point where the gap is would be B but you're looking for the point that comes after (8,4) it would be C
In the equation y = mx + b, m is the slope.TrueFalse
Answers
Remember that
The equation of the line in slope-intercept form is given by
[tex]y=mx+b[/tex]where
b is the y-intercept and m is the slope
therefore
The answer is TrueTo estimate the total number of people in the photography club, begin by rounding 48% to Select Choice% and
round 26 to Select Choice Since this is about Select Choice of the members in the club, then
Select Choice+ Select Choice or Select Choice
people is the approximate number of people in the
club.
Answers
Answer:
i believe its 74
Step-by-step explanation:
Select Choice+ Select Choice
48+26
What is f(2) for the function f(x) = 2x^2 + 6x – 5?
Answers
f(x) = 2x² + 6x – 5
To find f(2) you have to replace x = 2 into the function, as follows:
f(2) = 2(2)² + 6(2) – 5
f(2) = 2(4) + 12 – 5 Solving the square and the multiplication
f(2) = 8 + 12 – 5 Solving the multiplication
f(2) = 15
17. Darla Waters has a gross weekly pay of $475.00. Her earnings to date for this year is $ 5700.00. What is thetotal deduction this week for Social Security taxes (1 point) and Medicare taxes (1 point)?
Answers
Solution:
Icomplete information.
P(A) = 3/4P(B) = 1/3If A and B are independent, what is P(A n B)?9/125/121/413/12
Answers
If A and B are independent events, then:
[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]Then, we have:
[tex]\begin{gathered} P\mleft(A\mright)=\frac{3}{4} \\ P\mleft(B\mright)=\frac{1}{3} \\ P(A\cap B)=P(A)\cdot P(B) \\ P(A\cap B)=\frac{3}{4}\cdot\frac{1}{3} \\ \boldsymbol{P(A\cap B)=\frac{1}{4}} \end{gathered}[/tex]Therefore, if A and B are independent events, the probability of their
Question 33R, it is one am for me and I have exams tomorrow, please be very quick and include the answer in bold. Thanks
Answers
Given:
scale rated 2.2
other rating is 4.6
Magnitude diff. is:
[tex]\begin{gathered} =4.6-2.2 \\ =2.4 \end{gathered}[/tex]One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams of protein from other sources. How many grams of protein do you need daily?A. 50 gramsB. 52 gramsC. 96 gramsD. None of the aboveI will appreciate the help.
Answers
4%---------------------->xg
96%-------------------->48g
[tex]\begin{gathered} \frac{4}{96}=\frac{x}{48} \\ x=\frac{48\times4}{96} \\ x=2 \end{gathered}[/tex]Answer:
You need:
48g + 2g = 50g
A. 50 grams
37 of 75 customers in the store made a purchase of at least 20. Roimateky what percent of the customers made a purchase of at least 2207 A 20% 35% C 60% 0.76% walay ducation Page 5 WWW.26 & ZRP.A.3 Common Astment
Answers
Answer:
C. 50%
Explanation:
We are told that 37 of 7