Will mark as brainlist
What is the formula for the following arithmetic sequence?
12,6, 0, -6, ...
A. an= 12 + (-6)(n-1)
B. an= -6 + 12( n - 1)
C. an= 6 + 121 n - 1)
D. an = 12 + 6( n - 1)
Answer:
the answer is A
Step-by-step explanation:
be my friend please
Use the value of x to find the measure of angle 1 x=25
Solve. -23 = -2a -10 + a
Answer:
13
Step-by-step explanation:
1. Collect like-terms
-23=-a-10
2.Isolate variable
-13=-a
a=13
Answer:
A=13
Step-by-step explanation:
-23=-2a-10+a
add 10 to -23 which is now
-13=-2a+a
now add -2a and a together to get -1a
-13=-1a
divide -1 into both sides to get
13=a
find the measure of
Answer:
angle RFG is 56
Step-by-step explanation:
Suppose tortilla chips cost 29.5 cents per ounce. If a bag cost $3.91, how many ounces are in the bag of chips?
There are approximately 13.38 ounces of chips in the bag.
What is division?
Division is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and multiplication. It is the inverse operation of multiplication, and it is used to find out how many times one number is contained within another number.
To find out how many ounces of chips are in the bag, you can use the formula:
cost of bag / cost per ounce = number of ounces
In this case, you know that the cost of the bag is $3.91 and the cost per ounce of chips is 29.5 cents per ounce.
First, you need to convert the cost per ounce from cents to dollars. 29.5 cents is equal to 0.295 dollars (29.5 cents / 100 cents = 0.295 dollars)
So, you can substitute these values into the formula:
3.91 / 0.295 = 13.38
Hence, there are approximately 13.38 ounces of chips in the bag.
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NO LINKS!! URGENT HELP PLEASE!!!
1. Find an exponential function of the form f(x) = ba^-1 + c that has the given horizontal asymptote and y-intercept and passes through P
y = 33; y-intercept 408; P(2, 93)
Answer:
\(\bold{f(x) = 375(2.5)^{-x}+ 33}\)
Step-by-step explanation:
An exponential function of form f(x) = ba^(-x) + c has a horizontal asymptote of y = c as x approaches infinity, and a y-intercept of (0, b + c). We can use the given information to set up a system of equations and solve for the unknowns.
The horizontal asymptote is given as y = 33, so we have:
c = 33
The y-intercept is given as (0, 408), so we have:
b + c = 408
Substituting c = 33, we get:
b + 33 = 408
b = 375
So the function we're looking for is of the form:
\(\bold{f(x) = 375a^{-x}+ 33}\)
To find a, we use the fact that the function passes through P(2, 93):
93 = 375a^(-2) + 33
60 = 375a^(-2)
a^2 = 375/60
a^2 = 6.25
a = \(\sqrt{6.25 } =2.5\)
Therefore, the exponential function that satisfies the given conditions is:
\(\bold{f(x) = 375(2.5)^{-x}+ 33}\)
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=62°, and GH = 96 feet. Find the length of IG to the nearest tenth of a foot.
Answer:
45.1feet
Step-by-step explanation:
Given the following
∠I=90°
∠G=62°, and
GH = 96 feet = Hypotenuse
Required
IG = Adjacent side
Using the SOH CAH TOA identity
Cos theta = Adj/hyp
Cos 62 =IG/96
IG = 96cos62
IG = 96(0.4695)
IG = 45.1feet
Hence the length of IG to the nearest tenth is 45.1feet
Answer: 45.1feet
Step-by-step explanation:
two cups are equal to a pint two pints are equal to a quart four quarts are equal to a gallon how many cups are equal to a gallon
The number of cups that equal one gallon is 16
What is word problem?A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.
This word problem are solved into mathematical equation.
Two cups = 1 pint
2 pint = 1 quart
therefore the number of cup in a quart. = 2×2 = 4
4 quart = 1 gallon
1 quarter = 4 cups
4 quart = 4×4 = 16 cups
16cups = 1 gallon
Therefore the number of cups in a gallon is 16
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2
7) through: (-3,0), slope
3
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀, y₀):
y-y₀ = m(x-x₀)
Slope =3 and (x₀, y₀)=(-3,0)
y = 3(x+3)
y = 3x+ 9
:::::
Slope-intercept equation for line of slope m and y-intercept b:
y = mx+b
m=1 and b= -4:
y = x-4
If someone can pls give the answer with steps that would be greatly appreciated :)
\(\sf \bf {\boxed {\mathbb {TO\:FIND:}}}\)
The measures of \(x\) and \(y\).
\(\sf \bf {\boxed {\mathbb {SOLUTION:}}}\)
\(\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\: 210°\:and\:\:y\:=\: -30°}}}}}}\)
\(\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}\)
An exterior angle of a triangle is equal to sum of two opposite interior angles.
And so we have,
\( 40° = 70° + y\)
\(➪ \: y= 40° - 70°\)
\(➪ \: y = - 30°\)
Also,
\(\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}\)
\(y\) + \(x\) = \(180°\)
\(➪ \: -30° + x= 180°\)
\(➪ \:x = 180° + 30°\)
\(➪ \:x = 210°\)
\(\sf\purple{Therefore,\:the\:measures \:of\:the\:unknown\:angles\:are\:"x=210°"\:and\:"y=-30°.}\)
\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}\)
The chart below represents the steps in the process of a bill becoming a law. Use the chart to answer the following question.
The image represents the process of a bill becoming a law. It shows a set of parallel lines that merge, then split into two, and then merge again. Moving left to right, the top line has boxes labeled: A, C, E, G, and H. The bottom line has boxes labeled: B, D, F, and I. Boxes A and B, C and D, E and F, H and I, are paired. G is the only box on the top line without a corresponding box on the bottom line. Continuing to move from left to right, the two lines merge into one and have one box labeled J. Then the lines separate into two parallel lines again. The top line is labeled with box K and the bottom line is labeled with box L. The two parallel lines continue to the right where they again merge into one line, with an arrow pointing to a final box labeled M.
© 2011 FLVS
Which section of this chart represents the point where a bill is first debated in subcommittees?
A and B
H and I
C and D
K and L
Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D
How to explain the informationIn the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.
Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.
In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.
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Natalie is selling fruit at the Saturday market. She has a
otal of 48 pears that she wants to sell. She makes bags of
pears and sells them for $5 per bag. In which equation
oes b represent the number of bags of pears?
If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:
b = total_number_of_pears / pears_per_bag
In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.
Given that Natalie has a total of 48 pears, we can substitute the value into the equation:
b = 48 / pears_per_bag
Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.
Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:
b = 48 / 4
Simplifying the equation gives:
b = 12
So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.
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A father wants to buy a total of five milk drinks for his son and spend $7.95. Eggnog costs $1.55 and a peanut punch costs $1.65. Determine the number of each milk drink bought
Answer:
2
Step-by-step explanation:
$ 1.55 + $1.65 = $3.11
the budget is $7.95
$7.95 ÷ $3.11 = 2.5 but since you can't get half a milk it's 2
A quiz had 20 questions. Andre scored 16 of them correctly. What was
Andre's percent score? *
Answer:
He got an 80 percent.
Step-by-step explanation:
The histogram represents data collected on the frequency of how far the tide rose, in feet, up the beach from the buoy. A histogram titled Tides For 15 Days with an x-axis labeled Measurement In Feet with intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 1, above 6 to 10 that stops at 3, above 11 to 15 that stops at 4, above 16 to 20 that stops at 4, and above 21 to 25 that stops at 3. Which statement best describes the spread and distribution of the data? The data is almost symmetric, with a maximum range of 24. This means that the tide frequently measured around 11 to 20 feet. The data is skewed, with a maximum range of 24. This means that the tide was frequently very high in the 16 to 25 feet range. The data is bimodal, with a maximum range of 24. This means that the tide was frequently between 6 to 10 or 21 to 25 feet. The data is symmetric, with a maximum range of 20. This means that the tide frequently measured around 1 to 5 feet.
The histogram is solved and the data is bimodal, with a maximum range of 24. This means that the tide was frequently between 6 to 10 or 16 and 20 feet.
Given data ,
Let the number of observations of each interval is:
1 to 5: 2 observations.
6 to 10: 5 observations.
11 to 15: 2 observations.
16 to 20: 6 observations.
21 to 25: 1 observations.
Let the maximum range be represented as M
And , there are two similarly high bins for the histogram , hence the distribution can be said to be bimodal, with maximum range given as follows
M = 25 - 5
M = 21 - 1
M = 20
Hence , the histogram is solved
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Grace collected data from twenty of her friends about the number of pets they have. The median number of pets is two.
What does the median say about Grace's data set?
Answer options with 4 options
A.
Everyone Grace surveyed has two pets.
B.
More of Grace's friends have two pets than any other number.
C.
Two is the middle number when the number of pets in the data set is ordered from least to greatest.
D.
Two is the difference between the greatest and least number of pets Grace's friends have.
The statement which median describe about Grace's data set is 2 is the middle number when the number of pets in the data set is arranged from least to greatest.
What is the median of a data set?The median of the data is the middle value of the data set when it arrange in ascending or descending order.
Grace collected data from twenty of her friends about the number of pets they have. The median number of pets is two.
Median=2
By the definition of median of data set, the median two tells that the middle value of the pet is 2 when arranged in high to low point.
Thus, the statement which median describe about Grace's data set is 2 is the middle number when the number of pets in data set is arranged from least to greatest.
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A woman is determining the amount of fabric required for window treatments. A single window requires 13 2/5 yards and a double window requires 16 3/10 yards of fabric. If she has two single windows and one double window, how much fabric is required?
The total fabric required for window on solving the expression 13.4(2) +16.3(1) is \(40\frac{31}{10}\) yards
What is the value of an expression?
Combination of numbers and variables is an expression without the use of equal to sign is expression and to find value of an expression we replace variables in expressions by numbers and calculate the expression.
Given is that a single window requires fabric = \(13\frac{2}{5}\) = 67/5 = 13.4 yards
And a double window requires fabric = \(16\frac{3}{10}\) = 16.3 yards
Let the number of single windows for which treatment is required be x and
The number of double windows for which treatment is required be y
Then total fabric required is given by the expression = 13.4x +16.3 y
Given that the women has two single windows and a double window
Which means x =2 and y =1
Therefore, the total fabric required by solving the expression 13.4(2) +16.3(1) is 43.1 yards = \(40\frac{31}{10}\) yards
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Select the correct answer. Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer: C
she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.
At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed was 100 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph. Assume that the statistician also gave us the information that the distribution of serve speeds was mound-shaped and symmetric. What percentage of the player's serves were between 115 mph and 145 mph?
A) approximately 16%
B) at most 34%
C) at most 2.5%
D) at most 13.5%
The percentage of players serves were between 115 mph and 145 mph is approximately 16%.
Given :
The statistician reported that the mean serve speed was 100 miles per hour
the standard deviation of the serve speeds was 15 mph
Assume that the statistician also gave us the information that the distribution of serve speeds was mound-shaped and symmetric
To find :
What percentage of the player's serves were between 115 mph and 145 mph?
Solution :
μ =100
σ = 15
P ( 115 < x <145)
= P ( \(\frac{115-100}{15}\) < x-μ /6 <\(\frac{145-100}{15}\) )
= P ( \(\frac{15}{15}\) < z < \(\frac{15}{15}\) )
= p ( 1<z<3)
= p( z<3)-p(z-1)
=0.9987-0.8413
=0.1574
p ( 115<xx<145)= 15.74 %
p( 115<x<145)= approximately 16%
The percentage of players serves were between 115 mph and 145 mph is approximately 16%.
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Drew ran 5 3/ 8 miles yesterday. Collin ran 8 5/12 miles yesterday. How much farther did Collin run? Choose the correct values to leave your answer as a mixed number. Numbers may be used once or not at all.
Answer:
3 1/24
Step-by-step explanation:
Drew: 5 3/8
Collin: 8 5/12
8 5/12-5 3/8=
The coldest temperature on record in town A is -3.33
The coldest temperature on record in town B is -3 2/5
Which town has the colder temperature
Answer:
Town B
Step-by-step explanation:
-3 2/5 is equal to -3.4 and -3.4 is smaller than -3.33 therefore it is colder
The are A of a triangle with base b and height h is given by A = 1\2 by. Find the area when b= 24 m and h=30 m
Given
The area of the triangle is,
\(A=\frac{1}{2}bh\)And, b=24m and h=30m.
Explanation:
It is given that,
The area of the triangle is,
\(A=\frac{1}{2}bh\)And, b=24m and h=30m.
Then,
The area of the triangle is,
\(\begin{gathered} A=\frac{1}{2}\times24\times30 \\ =12\times30 \\ =360m^2 \end{gathered}\)Hence, the area of the triangle is 360m².
Find the missing angle measure. Show work.
17.
7
20
24
Solve the remaining parts of the triangle.
19.
B
38
12.5 C
7
13
17.
18.
19, AC=
AB-
mzB
Need help with all these please. Asap urgent help need this done before Monday
To find the missing angle measure, we need to use the fact that the sum of angles in a triangle is 180 degrees. Let's denote the missing angle as x. We know that one angle is 38 degrees and another angle is 12.5 degrees.Therefore, the missing angle measure is 129.5 degrees.
By subtracting these two angles from 180 degrees, we get:
180 - 38 - 12.5 = 129.5
Without additional information, it is not possible to determine the remaining parts of the triangle. We would need the lengths of at least one side or the measures of other angles to solve for the missing parts.
The given information states that AC is equal to AB minus mzB. Without knowing the values of AB and mzB, we cannot determine the exact length of AC. We would need additional information to solve for the length of AC.Therefore, the missing angle measure is 129.5 degrees.
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A bag contains 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. What is the ratio of number of blue marbles to the number of marbles that are orange or green?
Answer:
What you are looking for is the ratio which is 5/9
Step-by-step explanation:
all you had to do was add them together
Answer:
Step-by-step explanation:
5 to 9
A rectangular trunk has a height of 12 inches. The trunk is 4 inches long by 28 inches wide. What is the volume of the trunk?
Answer: The volume of the trunk is 1355 inches cubed.
Step-by-step explanation:
The volume of a rectangular prism is base x width x height. In the problem, the trunk is a rectangular prism, so its volume is \(12 \text{ in} \times 4 \text{ in} \times 28 \text{ in} = 1355 \text{ in}^3.\)
Brandon has a jar of quarters and dimes with a total value of $7.85. The number of quarters is 7 less than twice the number of dimes. How many quarters and how many dimes does Brandon have?
Answer:
dimes=8
quarters=12
Step-by-step explanation:
the total value 380 cents
In Ms. Craig’s class, 75% of the students are boys. There are 18 boys in the class. What is the total number of students in Ms. Craig’s class? |QUICK! IM TIMED
Answer:
24
Step-by-step explanation:
75% of x = 18
75/100 * x = 18 (x = total number of students)
solving
x = 24
total number of students = 24
Checking:
75/100 * 24 = 18
Triangle X(1, 6), Y(5, -2), Z(-5, -1) is mapped onto Δ
Δ
XʹYʹZʹ by a dilation with center (1, -2) and a scale factor of 3. Which function represents this dilation?
(x, y) → (1 + 3(x + 1), -2 + 3(y + 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y - 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y + 2))
(x, y) → (x + 3, y - 6)
30 points
On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)
by herons formula
A = \(\sqrt{s(s-a)(s-b)(s-c)}\)
s = a+b+c/3
s = 5+2+5+/3 =12/3 = 4
Area of the triangle is, A =
\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)
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Answer:
2.828
Step-by-step explanation:
researchers have collected data on the hours of studying in a week and the exam grade of a student. you are given the data below (10 points). hint: this questions is similar to q1 in hw7. hours of studying exam grade 1 55 3 75 4 80 3 85 6 99
The t-test value for the given collected data of hours of studying and exam grade is equal to 10.45.
As given in the question,
n = 5
Mean of the data ( time ) μ₁ = ( 1+ 3 + 4 + 3+ 6)/ 5
= 3.4
Mean of the exam grade μ₂ = ( 55 + 75 + 80 + 85 + 99) / 5
= 78.8
Standard deviation of time σ₁ = 1.82
Standard deviation of exam grade σ₂ = 16.04
Standard error of time = σ₁/√n
= 1.82 / √5
=0.81
Standard error of time =σ₂/√n
= 16.04/ √5
=7.17
Difference in mean of time and exam grade = 78.8 - 3.4
= 75.4
Standard error of difference 'S.E'= √ (0.81)² + (7.17)²
= 7.215
t - test for the given data
= | μ₁ - μ₂| / S.E.
= | 3.4 - 78.8| / 7.215
= 75.4 / 7.215
= 10.45
P value and statistical significance:
Two-tailed P value is smaller than 0.0001
Therefore, the t-test value for the given collected data is equal to 10.45.
The above question is incomplete , the complete question is:
Researchers have collected data on the hours of studying in a week and the exam grade of a student. you are given the data below (10 points). hint: this questions is similar to q1 in hw7.
hours of studying exam grade
1 55
3 75
4 80
3 85
6 99
Calculate the t -test and interpret the data?
A two-liter bottle contains 53.1 centiliters of oil and 7.9 deciliters of water. How much more liquid is needed to fill the bottle?
Answer: 0.679 liters
Step-by-step explanation:
A centiliter is a measure of volume equal to one hundredth of a liter
Hence,
53,1*0.01=
0.531 liters
A deciliter is a measure of volume equal to one tenth of a liter
Hence,
7.9*0.1=
0.79 liters
0.531+0.79=
1.321 liters
2-1.321=
0.679 liters