Answer:
[tex]f(x)=-9(2)^(^x^-^1^)[/tex]
Explanation:
First, we find the common ratio by dividing any term by its previous term. We should do this a couple of times to make sure it's consistent. In this case, our common ratio is 2. Our first (or 1th) term of the sequence is -9, so our formula becomes
[tex]f(x)=-9(2)^(^x^-^1^)[/tex].
Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did
each person invest?
Step-by-step explanation:
212×3= 636 two hundred and twelve multiple by three equals six hundred and thirty six
3. Write an equation of the line that passes through (2, 3) and is perpendicular to y=-1/2x - 5
Answer:
y=2x-1
Step-by-step explanation:
A line that is perpendicular has a slope that is a negative reciprocal of the given equation. The slope of the given equation is -1/2, so the negative reciprocal would be 2.
Then, using slope-intercept form, plug in the point values (2,3) into the equation and solve for b.
y=mx+b
y=2x+b
3=2(2)+b
-1=b
Therefore the equation is y=2x-1
Work out m and c for the line: y = 7 − x
The line y = 7 − x has a slope(m) of - 1 and y-intercept b is 7.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, an equation of a line y = 7 - x.
We can rearrange this in the form of slope-intercept form which is
y = mx + b.
y = - x + 7.
y = (-1)x + 7.
The slope (m) of this line is - 1 and the y-intercept(b) is 7.
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When writing a summary about the theme you should....
A
Include the theme in the first sentence.
B
Write what the message shows you.
C
Write details about the story.
D
All of the above.
Answer: D, All of the above
Step-by-step explanation:
Question 1 of 12
Liam sorted music albums in his collection into three genres as shown
Genre
Rock
Country
Holiday
Count
7
3
5
Which statements identify correct ratios for the album collection Select all that apply
The ratio of holiday music albums to the entire collection is 5:10.
The ratio of rock music albums to country music albums is 7 to 3.
The ratio of rock music albums to holiday music albums is 5 to 7
The ratio of country music albums to the entire collection is 1 to 5.
There is 1 holiday music album for every 3 albums in the collection
Answer:
Step-by-step explanation:
15 points, solve a right triangle. Please simplify your answers as it says in the picture.
Given:
In triangle EFG, [tex]EF=10\sqrt{2}, m\angle G=90^\circ,m\angle E=60^\circ[/tex].
To find:
The measures of FG, EG and angle F.
Solution:
In triangle EFG,
[tex]m\angle E+m\angle F+m\angle G=180^\circ[/tex] [Angle sum property]
[tex]60^\circ+m\angle F+90^\circ=180^\circ[/tex]
[tex]m\angle F+150^\circ=180^\circ[/tex]
[tex]m\angle F=180^\circ-150^\circ[/tex]
[tex]m\angle F=30^\circ[/tex]
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin E=\dfrac{FG}{EF}[/tex]
[tex]\sin (60^\circ)=\dfrac{FG}{10\sqrt{2}}[/tex]
[tex]\dfrac{\sqrt{3}}{2}\times 10\sqrt{2}=FG[/tex]
[tex]5\sqrt{6}=FG[/tex]
Similarly,
[tex]\sin F=\dfrac{EG}{EF}[/tex]
[tex]\sin (30^\circ)=\dfrac{EG}{10\sqrt{2}}[/tex]
[tex]\dfrac{1}{2}\times 10\sqrt{2}=EG[/tex]
[tex]5\sqrt{2}=EG[/tex]
Therefore, the required measures are [tex]FG=5\sqrt{6}, EG=5\sqrt{2}, m\angle F=30^\circ[/tex].
A smaller box of cereal is $2.89 for 14.5 oz. The family size is $4.99
for 30 oz. Which is the better deal? explain.
Answer:
the better deal will be the family size for $4.99 and 30oz, because the family box come with 30oz per box and with that many oz it can be shared by the family depending on how much cereal they they get.
Step-by-step explanation:
1 hour 31 minutes =
minutes
Answer:
91 minutes
Step-by-step explanation:
1 hour= 60 minutes.
31 minutes + 60 minutes = 91 minutes.
If this helps please mark as brainliest
Answer:
91 minutes
Step-by-step explanation:
1 hour = 60 minutes
60 + 31 = 91 minutes
Population Inferences
The Mitchell Junior High newspaper staff conducted two samples in which 40 students were randomly selected to represent the entire 600 member student
population. The results of the two surveys are shown below.
7:45 AM
START TIME
12
14
SAMPLE #1
SAMPLE #2
8:30 AM
START TIME
18
19
9:00 AM
START TIME
10
7
Read the headline and state of the headline is supported by the data.
OVER 300
STUDENTS
WANT TO
START AFTER
8:00 AM
A
Supported
Not Supported
Answer:
Over 300 students did not support start time after 8:00am
Step-by-step explanation:
Given
[tex]N = 600[/tex] --- population
[tex]n = 40[/tex] --- sample
See attachment for dataset
Required [True/False]
Over 300 wants start time after 8:00am
First, we calculate the number of samples that wants start time after 8:00am
[tex]x = 8:30am\ start + 9:00am\ start[/tex]
For sample 1
[tex]x_1 = 18[/tex]
The corresponding value of x1 in the overall population is:
[tex]X_1 = \frac{x_1}{n} * N[/tex]
[tex]X_1 = \frac{18}{40} * 600[/tex]
[tex]X_1 = \frac{18 * 600}{40}[/tex]
[tex]X_1 = \frac{10800}{40}[/tex]
[tex]X_1 = 270[/tex]
For sample 2
[tex]x_2 = 19[/tex]
The corresponding value of x2 in the overall population is:
[tex]X_2 = \frac{x_2}{n} * N[/tex]
[tex]X_2 = \frac{19}{40} * 600[/tex]
[tex]X_2 = \frac{19* 600}{40}[/tex]
[tex]X_2 = \frac{11400}{40}[/tex]
[tex]X_2 = 285[/tex]
None of X1 and X2 is greater than 300.
Hence, over 300 students did not support start time after 8:00am
None of X1 and X2 is greater than 300. so, over 300 students did not support start time after 8:00 am.
The population is 600 and the sample is 40.
What are Population Inferences?The population of inference refers to the population (or universe) to which the results from a sample survey are meant to generalize.
Over 300 students did not support start time after 8:00 am
For sample 1
[tex]\rm x_{1} =18\\[/tex]
The corresponding value of x1 in the overall population is:
[tex]\rm X_{1} =\frac{x_{1} }{n} \times N\\\rm X_{1} =\frac{18}{40} \times 600\\\rm X_{1} =\frac{10800}{40}\\ \rm X_{1} =270\\[/tex]
For sample 2
[tex]\rm x_{2} =19[/tex]
The corresponding value of x2 in the overall population is:
[tex]\rm X_{2} =\frac{x_{2} }{n} \times N\\\rm X_{2} =\frac{19}{40} \times 600\\\rm X_{2} =\frac{11400}{40}\\ \rm X_{2} =285\\[/tex]
None of X1 and X2 is greater than 300.
Hence, over 300 students did not support start time after 8:00 am.
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((-3)^2)^4
Simplify the expression wrote your answer as a power
Answer:
(-3)^8
Step-by-step explanation:
A boat can travel 395 miles on 79
gallons of gasoline. How far can it travel
on 21 gallons?
what is a valid inference
Answer:
Deduction is inference deriving logical conclusions from premises known or assumed to be true, with the laws of valid inference being studied in logic. Induction is inference from particular premises to a universal conclusion.
Step-by-step explanation:
Q14.
Dev has been counting the number of steps he takes each day.
The table below shows the data for one week. The data for Wednesday is missing.
Mon Tue Wed Thu Fri
Sat
Sun
5034 5412
?
5208 6117 3982 3472
Dev took the median number of steps on Wednesday.
What is the smallest number of steps that Dev could have taken on Wednesday?
Answer:
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Question 3 of 10
Which best describes how empirical probability is which which best describes how empirical probability is determined?
A. By considering all possible outcomes
B. By deciding which events are unpredictable
C. By deciding which events are random
D. By personal experimentation and testing
SUBMIT
Answer:
B. By personal experimentation and testing
Step-by-step explanation:
PLS HELP ASAPPPP ASPAP PZLZLZ
Answer:
c???
Step-by-step explanation:
What is the Standard Form of 82?
Answer:
8.2 x 10^1
Step-by-step explanation:
The equation y+6=1/3(x-9) is written in point- slope form. What is the equation written in slope-intercept form?
Your answer would be option three, y = 1/3 x -9 :)
write the product in standard form (2x + 5) ^2
Answer:
4x^2+20x+25
Step-by-step explanation:
(2x+5)^2 = (2x+5) (2x+5)
Using the foil method : 2x(2x) = 4x^2
(2x) (5) = 10x
(2x) (5) = 10x
5 (5) = 25
Combine like terms
Help.... help i don’t need a link I need someone who can help me out.
Answer:
-11/12
Step-by-step explanation:
First add the numerator
5/8 + 3/4
Get a common denominator
5/8 + 3/4*2/2
5/8 + 6/8
11/8
Then subtract the denominator
-2/3 - 5/6
-2/3 *2/2 -5/6
-4/6 - 5/6
-9/6
Then divide
11/8 ÷ -9/6
Copy dot flip
11/8 * -6/9
Simplify
11/8 * -2/3
11/3 * -2/8
11/3 * -1/4
-11/12
There is a lighthouse on top of a cliff. The light of the lighthouse is 200 feet above sea level. It can be seen on the deck of a ship that is 25 feet above sea level. If the angle of depression from the light of the lighthouse to the deck of the ship is 30 degrees, then how far from the cliff is the ship, to the nearest foot?
Answer:
Step-by-step explanation:
It is C
Answer: C- 303
Step-by-step explanation:
Naitik exercised for
2/3 hours ,while Aryan exercised for
3/4
hours.Who
exercised for a longer time? step by step answer
=======================================================
Explanation:
Use your calculator to convert each fraction into decimal form
2/3 = 0.67 approximately
3/4 = 0.75 exact
The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".
So 0.67 < 0.75 which leads to 2/3 < 3/4.
Aryan spent more time exercising.
--------------
We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get
3/4 - 2/3
9/12 - 8/12
(9-8)/12
1/12
Aryan spent 1/12 of an hour longer exercising compared to Naitik
1/12 hour = (1/12)*60 = 60/12 = 5 minutes
He spent 5 extra minutes exercising.
----------------
Notes:
2/3 hours = (2/3)*60 = 40 minutes3/4 hours = (3/4)*60 = 45 minutes45-40 = 5 extra minutes of exerciseFind the Area of the figure below, composed of a rectangle with a semicircle
removed from it. Round to the nearest tenths place.
Answer:
Area of the figure = 25.7 units²
Step-by-step explanation:
Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD
Area of the rectangle ABCD = Length × Width
= BC × AB
= 8 × 4
= 32 units²
Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
Here, r = radius of the semicircle
r = [tex]\frac{\text{Diameter}}{2}[/tex]
r = [tex]\frac{1}{2}(CD)[/tex]
r = [tex]\frac{4}{2}[/tex]
r = 2 units
Therefore, area of the semicircle = [tex]\frac{1}{2}\pi (2)^2[/tex]
= 2π
= 6.28 units²
Area of the given figure = 32 - 6.28
= 25.72 units²
≈ 25.7 units²
Noah has 19 bacon pancakes on his plate, and Mackenzie has x less bacon pancakes than Noah. Choose the expression that show how many bacon pancakes Mackenzie has.
Answer:
19-x
the expression that show how many bacon pancakes Mackenzie is 19 - x
27. A bag contains 2 red and 4 yellow apples. Brandon selects 2 apples at random. What
is the probability that he has chosen 2 yellow apples?
Answer:12/30
Step-by-step explanation:
Total apple =6
Yellow apples = 4
4/6
3/5
(4/6)*(3/5)= 12/30
Find the LCD of the given rational equation: 9/x-1+-3x/x+6=4x/x^2-7x+6
Answer: the answer would be A.
(x-1)(x-6)(x+6)
Step-by-step explanation:
a p e x
The LCD of the given expression is (x-1)(x-6)(x+6).
What is LCD?
The least common denominator (LCD) is the smallest number or expression that can be a common denominator for a set of fractions.
What is the LCD in the given expression?
Factor the denominator of the right side of the equation.
[tex]\frac{9}{x-1}-\frac{3x}{x+6}=\frac{4x}{(x-1)(x-6)}[/tex]
From this, it is conclude that the common denominator will be [tex](x-1)(x-6)(x+1)[/tex].
Therefore, the LCD of the given expression is (x-1)(x-6)(x+6).
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Write the number in scientific notation. 0.00000625
The number 0.00000625 in scientific notation is [tex]6.25\times 10^{-6}[/tex].
To write the number 0.00000625 in scientific notation, we can follow these steps:
First Move the decimal point to create a number between 1 and 10.
In this case, we can move the decimal point 6 places to the right to obtain 6.25.
Count the number of places moved to determine the exponent.
Since we moved the decimal point 6 places to the right, the exponent will be -6.
Write the number in scientific notation.
0.00000625 can be written as [tex]6.25\times 10^{-6}[/tex].
Therefore, the number 0.00000625 in scientific notation is [tex]6.25\times 10^{-6}[/tex].
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How many million bacteria were in the dish at 10 a.m.?
Answer:
Fraction form: 1/4
Exponential form: 2^-2
Expanded form: 1/4 (Not sure if thats correct)
Step-by-step explanation:
Answer:
Its 1/4 he was right
Step-by-step explanation:
What is MR?
MR =
help me plz
Answer:
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
MR = MN+NP+PQ+QR
MN=4 and MN≡QR so QR=4
PQ=6 and PQ≡NP so NP=6
MR = 4+6+6+4 = 20
3
Triangle ABC is similar to triangle DEF.
+
12 units
D
A
8 units
6 units
What is the value of k in units?
A 9 units
B 10 units
C 16 units
D 4 units
Answer:
16units is the correct answer
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Step-by-step explanation:
always begin any problem by writing what you know
circumference is
u = 2 pi r
1)
u=3.14
r=?
3.14 = 2 pi r
Solve for r
the rest of the problems you just plug the numbers into the formula
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