Answer:
The scale of the map is 1 : 34848---------------------------------
Real distance is 4.4 miles and on the map it is 8 inches.
The scale is:
8 in : 4.4 miles = Divide both sides by 81 in : 0.55 milesor
1 in : 0.55 * 63360 in = Convert 1 mile = 63360 inches1 : 34848There are total 52 flowers name the multiples of 4 in this..
Answer: multiples of 4 are -4,8,12,16,20,24,28,32,36,40,44,48,52
Step-by-step explanation:
4x1=4
4x2=8
4x3=12
4x4=16
4x5=20
4x6=24
4x7=28
4x8=32
4x9=36
4x10=40
4x11=44
4x12=48
4x13=52
Answer:
208
Step-by-step explanation:
52×4=208
Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 37 and the age of the winner for best actress was 52. For all best actors, the mean age is 45.2 years and the standard deviation is 8.3 years. For all best actresses, the mean age is 32.3 years and the standard deviation is 11.6 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain.
1.6982 is the actress age is more extreme when winning the award, the actor or the actress .
What does "z-score" mean?
The Z-score provides information on how far a given value deviates from the standard deviation. The amount of standard deviations a given data point is above or below the mean is represented by the Z-score, also known as the standard score.
Essentially, standard deviation is a measure of the degree of variability within a given data collection.
Z score for actor = ( 37 - 45.2 )/8.3
= - 0.9879
Z score for actress = ( 52 - 32.3 )/11.6
= 1.6982
since I - 0.9879 l < l 1.6982 l , the actress age is more extreeme .
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Marco budgets $1,600 a month for expenses.
According to the graph, how much does he pay
for his credit card, groceries, and rent?
$1,008
$908
$1,142
$1,029
Marco pays $1008 for for his credit card, groceries, and rent.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Marco budgets $1,600 a month for expenses.
According to the graph he pays 4% of credit card
Now let us find 4% of 1600
4/100×1600
0.04×1600
$64 Marco pays for credit card.
From graph, he pays 17% for groceries
17% of 1600
17/100×1600
0.17×1600=$272
$272 Marco pays for Groceries.
From graph, he pays 42% for rent
42/100×1600
0.42×1600=672
$672 Marco pays for Rent.
Hence, Marco pays $1008 for for his credit card, groceries, and rent.
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If tan x =
3
4
and cot y =
12
5
π
, where x and y lie in the interval of 0 to --
2
, find tan (x-y). [4]
The tangent of the subtraction of angles x and y is defined as follows:
tan(x - y) = (36 - 20π)/(48 + 15π)
How to obtain the tangent of the subtraction?The tangent of the subtraction of two angles is obtained according to the identity presented as follows:
tan(x - y) = [tan(x) - tan(y)]/[1 + tan(x)tan(y)]
The tangent of angle x is given as follows:
3/4.
The tangent and cotangent are defined as follows:
tan(x) = sin(x)/cos(x).cot(x) = cos(x)/sin(x) = 1/tan(x).Hence the tangent of angle y is obtained inverting the numerator and the denominator of the function, as follows:
tan(y) = 5π/12.
The subtraction of the two tangents is given as follows:
tan(x) - tan(y) = 3/4 - 5π/12 = 9/12 - 5π/12 = (9 - 5π)/12.
The quotient of the two tangents is given as follows:
tan(x)tan(y) = 3/4 x 5π/12 = 15π/48.
Then the denominator of the expression is given as follows:
1 + 15π/48 = (48 + 15π)/48.
Considering the division of the two fractions, the tangent of the subtraction is defined as follows:
tan(x - y) = (9 - 5π)/12 x 48/(48 + 15π)
tan(x - y) = (36 - 20π)/(48 + 15π)
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Elimination
3x-y=-1 and -3x-y=5
The equation 3x - y = - 1; - 3x - y = 5 when solved using the elimination method is x = -1 and y = -2 respectively.
How to solve simultaneous equation using elimination method?3x - y = - 1
- 3x - y = 5
Subtract the equation to eliminate y
3x - (-3x) = - 1 - 5
3x + 3x = - 6
6x = - 6
divide both sides by 6
x = -6 / 6
x = -1
Substitute x = -1 into
3x - y = - 1
3(-1) - y = -1
-3 - y = - 1
- y = - 1 + 3
-y = 2
y = -2
Therefore, the solution to the simultaneous equation is (x, y) = (-1, -2)
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One aircraft has a capacity of 64 more seats than a second aircraft. A third aircraft has 152 seats less than twice the seating capacity of the second aircraft. If their total number of seats is 1900, find the number of seats for each aircraft.
The number of seats in the first, second and third aircraft are 561 seats, 497 seats and 842 seats respectively
How to find the number of seats for each aircraft?A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation
Let F, S and T represent number of seats in the first, second and third aircraft respectively
We can set up three equations to represent the situation:
F = 64 + S --- (1)
T = 2S - 152 --- (2)
F + S + T = 1900 --- (3)
Put (1) and (2) in (3):
F + S + T = 1900
(64 + S) + S + (2S - 152) = 1900
64 + S + S + 2S - 152 = 1900
4S - 88 = 1900
4S = 1900 + 88
4S = 1988
S = 1988/4
S = 497 seats
F = 64 + S
F = 64 + 497 = 561 seats
F + S + T = 1900
561 + 497 + T = 1900
1058 + T = 1900
T = 1900 -1058 = 842 seats
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PLEASE HELP ME IREADY DUE TODAY HELP NOW
Samantha received a $100 gift card to an online store. She wants to purchase some bracelets that cost $15 each. There will be a $25 overnight shipping fee. How many bracelets can she buy?
PLS HELP ME PLSSS plsssss
Answer:
The circumference of a tire can be found by using the formula C = πd, where C is the circumference, and d is the diameter.
For the old bicycle with 12 inch diameter tires, the circumference is:
C = π * 12 = 12 * π inches
For the new bicycle with 16 inch diameter tires, the circumference is:
C = π * 16 = 16 * π inches
To find the difference in the circumference of the tires, we subtract the circumference of the old tire from the circumference of the new tire:
16π - 12π = 4π inches
So the difference in the circumference of the two tires is 4π inches.
It's around 12.56 inches.
Set up a ratio. If the ratio cannot be reduced to an equivalent ratio in terms of small integers, then express it as a ratio of decimal equivalents with the smallest term set at 1. Maintain three-figure accuracy.
Don, Bob, and Ron Maloney’s partnership interests in Maloney Bros. Contracting are in the ratio of their capital contributions of $78,000, $52,000, and $65,000, respectively.
What is the ratio of Bob's to Ron's to Don's partnership interest?
The ratio of Bob's to Ron's to Don's partnership interest is 26.6% : 33.3% : 40.0%.
What does partnership interest mean?A partnership interest is the percentage of a partnership that a specific member or individual owns. In this context, partnerships refer to a specific method of organizing business ownership in which each owner is a partner, with equal rights, privileges, and obligations to the company as a whole.
Data
Partnership interests in Maloney Bros:
Don - $78,000
Bob - $52,000
Ron Maloney’s - $65,000
The total capital contribution is:
= $78,000 + $52,000 + $65,000
= $195,000
Bob's partnership interest is:
= $52,000/$195,000
= 0.266 or 26.6%.
Ron's partnership interest is:
= $65,000/$195,000
= 0.333 or 33.3%.
Don's partnership interest is:
= $78,000/$195,000
= 0.400 or 40.0%.
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Mark plays field hockey. He makes a goal 55% of the time he shoots. A = the event Mark is successful on his first goal attempt. P(A) = 0.55. B = the event Mark is successful on his second goal attempt. P(B) = 0.55. Mark tends to make goals in streaks. The probability that he makes a second goal given that he made the first goal is 0.80.
If Mark attempts two goals, what is the probability that he makes both goals?
Answer:
We can use the formula for conditional probability to find the probability that Mark makes both goals:
P(A and B) = P(A) * P(B | A)
We know that:
P(A) = 0.55 (the probability that Mark makes a goal on his first attempt)
P(B | A) = 0.80 (the probability that Mark makes a goal on his second attempt given that he made the first goal)
So:
P(A and B) = 0.55 * 0.80 = 0.44
Therefore, the probability that Mark makes both goals is 0.44.
What are the dimensions of this matrix? I WILL MARK BRAINLIEST.
Answer:
1 * 3 ==> 4th option
Step-by-step explanation:
Matrix dimensions are:
number of rows by number of columns
The number of rows is 1 : ( -4 1/4 -1 is the row)
The number of columns is 3 : (-4, 1/4, and -1 are the columns)
Hence, the dimensions is 1 * 3.
Answer:
1 x 3
Last choice
Step-by-step explanation:
The dimensions of a matrix are represented by number of rows x number of columns
There is only one row here (don't be confused by the 1/4) and there are three columns
So 1 x 3
(last choice)
2 people push a box from different directions, why doesnt the box move?
Answer:
Newton's 3rd law of motion
Step-by-step explanation:
Newton's 3rd law of motion states that for every force in nature there is an equal and opposite reaction.
So, assuming the people are both pushing with the same force, their forces are basically canceling each other out, and a net force of 0 is acting uponm the box, which explains why it is not moving.
I don't understand this, USE YOUR SKILLS AND HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE
The required cost of the construction of a 4.5-inch tower is the amount of $114.75.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
The cost of construction is $25.50 per inch.
We have to determine the amount it costs to fund 4.5 inches of the construction.
As per the question, we have
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction would be:
= 25.50 × 4.5
Apply the multiplication operation, and we get
= $114.75.
Thus, the required cost of the construction is $114.75.
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36. Therefore, option A is the correct answer.
What is a circle equation?The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.
The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²
The standard form for finding the equation of a circle is expressed as;
(x-a)²+ (y-b)² =r²
Where; (a, b) is the center of the circle and r is the radius of the circle
Given that, diameter = 12 units
So, radius = 12/2 = 6 units
If the center lies on the y-axis, the center will be at (0, 3)
Substituting into the formula, we will have (x-0)² + (y-3)² = 6² equivalent to x²+ (y-3)² = 36
Therefore, option A is the correct answer.
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In September, Jennifer Rick went to Park Bank to borrow $2,500 at 11.75% interest. Jennifer plans to repay the loan in January. Assume this loan is a simple interest loan calculated monthly. What will be the total amount she will owe to the bank on January 31st? If necessary, round to the nearest cent.
Answer: The total amount Jennifer will owe to the bank on January 31st is $3,458.75
Step-by-step explanation: In September, Jennifer Rick went to Park Bank to borrow $2,500 at 11.75% interest for 4 months. As this loan is a simple interest loan calculated monthly, we need to calculate the total amount she will owe to the bank on January 31st.
We use the formula for simple interest which is:
Interest = Principal x Interest rate x Time
Interest = $2,500 x 11.75/100 x 4/12 = $958.75 (rounding to the nearest cent)
Now we can add the interest to the principal amount to get the total amount that Jennifer will owe to the bank on January 31st.
Total amount = Principal + Interest
Total amount = $2,500 + $958.75 = $3,458.75 (rounding to the nearest cent)
So, the total amount Jennifer will owe to the bank on January 31st is $3,458.75
37 hundredths= ____ tenths + ____ hundredths
Answer:
30 TENTHS + 7 HUNDREDTHS
Step-by-step explanation:
56,259 divided 57=i ?
Answer:
987
Step-by-step explanation:
57√56259= 987
Answer:
987
Step-by-step explanation:
56259 ÷ 57 = 987
pls help w geometry (see picture)
The given geometry of the figure does not show any of the options, so option D is correct.
What is a triangle?A polygon with three vertices and three sides is called a triangle. The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180 degrees.
Given a ΔSTU
a line from point T intersects at SU at point V and divides SU, given SV is 60 units and UV is 42 units.
The line TV is not a median, because a median divides the side into two equal halves, and the figure does not have SV equal to UV.
The line TV is not an attitude because the figure has not specified the angle of V in line SU, if given that the ∠TVU = ∠TVS = 90° then TV will be called altitude.
The line is not a perpendicular bisector because The line segment drawn from a vertex to the opposite side of a triangle, bisecting that side at a right angle, is known as the perpendicular bisector of the triangle.
Hence option D is correct.
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Elijah currently owes a total of $2,127.50 on his revolving credit accounts. What is Elijah's debt-to-credit ratio if the total of his revolving credit limits is $5,750.00? Round the final answer to the nearest whole percent.
a
27%
b
37%
c
41%
d
50%
Answer: Elijah's debt-to-credit ratio is 37%.
Step-by-step explanation:
Elijah's debt-to-credit ratio is the ratio of the amount of money he owes to the total amount of credit he has available.
To calculate the debt-to-credit ratio, we need to divide the amount of debt by the total amount of credit, and then multiply by 100 to get the answer in percentage.
Debt = $2,127.50
Credit = $5,750.00
Debt-to-credit ratio = (Debt / Credit) * 100
Debt-to-credit ratio = (2127.50 / 5750) * 100 = 37.29 ~ 37%
So the answer is: b) 37%
This graph shows the solutions to the inequalities y> x+2 and y< x-3.
Does the system of inequalities have solutions? If so, which region contains
the solutions?
A
B
C
O There are no solutions.
OB. There are solutions, and they are the points in region C.
OC. There are solutions, and they are the points in region B.
OD. There are solutions, and they are the points in region A.
The system of inequalities y > x + 2 and y < x - 3. when solved will not have solutions
A. There are no solutionsWhen will system of linear equations not have a solution?When the graphs meet at a point, a system of linear equations has just one solution.
No solution, When the graphs are parallel, a system of linear equations cannot have a solution.
examining the system of linear equations y > x + 2 and y < x - 3, the slope of the two linear functions are equal with a value of 1.
Because of this, the equations will not intersect and the lines are said to be parallel and no solution expected
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A toy rocket is launched from the ground at an angle of 45° and an initial velocity of 100 feet
per second. How far does the rocket travel in the air before hitting the ground?
A. 170.7 ft
B. 213.4 ft
C. 312.4 ft
D.423.1 ft
[tex]\textit{Horizontal Range}\\\\ R=\cfrac{(v_0)^2\cdot \sin(2\theta )}{g} ~~ \begin{cases} v_o=\textit{initial velocity}\\ \theta =\textit{initial angle}\\ g=gravity\\[-0.5em] \hrulefill\\ v_o=100\\ \theta =45^o\\ g\approx 32~\frac{ft}{s^2} \end{cases}\implies R\approx\cfrac{(100)^2 \sin(2\cdot 45^o)}{32} \\\\\\ R\approx\cfrac{10000\sin(90^o)}{32}\implies R\approx\cfrac{10000(1)}{32}\implies R\approx 312.5~ft[/tex]
One serving of Campbell Soup Company's Campbell's® Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates.† A typical slice of white bread provides 2 grams of protein and 11 grams of carbohydrates per slice. The U.S. RDA (Recommended Daily Allowance) is 60 grams of protein each day.
(a)
I am planning a meal of "beans on toast" and wish to have it supply one-half of the RDA for protein and 139 grams of carbohydrates. How should I prepare my meal? (Fractions of servings are permitted.)
beans
serving(s)
bread
slice(s)
(b)
Is it possible to have my meal supply the same amount of protein as in part (a) but only 61 grams of carbohydrates?
Yes
No
The way we should prepare the meal to supply one half of the RDA for protein and 139 grams pof carbohydrates is 4 beans serving and 5 bread slices (answer A). It not possible to have the same amount of protein as in part A but only 61 grams of carbohydrates.
How to calculate the meal of point A?To calculate the meal of point A we have to consider the amount of grams of protein and carbohydrates in each food. In this case, we try with 4 servings of beans and 5 slices of bread, and it get the protein and carbohydrates required as shown in the following explanation:
Servings of beans
4 * 5 = 20 grams of protein
4 * 21 = 84 grams of carbohydrates
Slices of bread
5 * 2 = 10 grams of protein
5 * 11 = 55 grams of carbohydrates
Totals
20 + 10 = 30 grams of protein
84 + 55 = 139 grams of carbohydrates
According to the previous explanation the meal have to be composed by 4 servings of beans and 5 slices of bread. On the other hand, if we want to make a meal with the same amount of protein but only 61 grams of carbohydrates, it is imposible because the amount of carbohydrates of each food is bigger than we need.
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. Descompuneti in factori:
a) 4x + 4x -35;
c) 4x2+ 20x - 11;
e) 4x2 + 12x - 16;
g) 16x7 + 24x - 40;
i) 25x + 10x - 48;
h ) 25x2 -
j) 16x2 + 40x - 39.
The factors of the expression 16x²+40x-39 are (4x-3)(4x+13).
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
A) 4x+4x-35
= 8x-35
C) 4x²+20x-11
= 4x²+22x-2x-11
= 2x(2x+11)-1(2x+11)
= (2x+11)(2x-1)
E) 4x²+12x-16
= 4x²+16x-4x-16
= 4x(x+4)-4(x+4)
= (4x-4)(x+4)
= 4(x-1)(x+4)
G) 16x⁷+24x-40
= 8(2x⁷+3x-5)
I) 25x+10x-48
= 35x-48
J) 16x²+40x-39
= 16x²-12x+52x-39
= 4x(4x-3)+13(4x-3)
= (4x-3)(4x+13)
Therefore, the factors of the expression 16x²+40x-39 are (4x-3)(4x+13).
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k=3/2
y=kx
y=3/2x
what is the table of x and y
x -0 y-0
x___ y___
x___ y____
Using the proportionality relationship equation, y = 3/2x, the complete table is:
x | y
0 0
1 3/2
2 3
How to Complete a Table Using the Constant of Proportionality?The equation of a proportional relationship between x and y can be represented as y = kx, which means that the constant of proportionality, k, is y/x.
For example, if the constant of proportionality between two variables x and y is given as 4, therefore, the equation of the proportional relationship will be stated as y = 4x.
Given the following:
Constant of proportionality, k = 3/2.
The equation of the proportional relationship is: y = 3/2x
Use the equation, y = 3/2x to complete the table by substituting the values of x into the equation:
For x = 1:
y = 3/2(1)
y = 3/2
For x = 2:
y = 3/2(2)
y = 3
Therefore, the complete table is:
x | y
0 0
1 3/2
2 3
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Use the parallelogram to find m
m
The angles in the parallelogram are as calculated below
How to find the angles in the parallelogram?
A parallelogram is a quadrilateral with opposite sides parallel. This means that both pairs of opposite sides are parallel and of equal length. The opposite angles of a parallelogram are also equal in measure.
m ∠BEA = 60° (alternate angles)
m ∠BAE = 42° (alternate angles)
m ∠DAE = 40° (alternate angles)
m ∠ABE = 180 - m ∠BEA - m ∠BAE = 78° (angle in a triangle)
m ∠CBE = 78° (vertically opposite angles)
m ∠ABD = 180 - m ∠ABE = 102° (angle on a straight line)
m ∠CBE = 102° (vertically opposite angles)
m ∠BEC = 180 - m ∠CBE - m ∠BEC = 38° (angle in a triangle)
m ∠ADB = 38° (alternate angles)
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If a1=8 and an= an-1
Answer:
Step-by-step explanation:
242424
Given the figure below, find the values of x and z.
92°
(10x + 32)°
Since Z and 92 both have vertical angles, they are equal. Subtract from 180 to determine the measure of the other angle, which is 88 degrees since it forms a straight line with the 92-degree angle. Solve the expression by setting the value at 88.
What is meant by vertical angle?The intersection of two straight lines produces a pair of vertical angles, which are not next to one another. Vertical angles that are across from one another form the corners of the "X" formed by two straight lines.The fact that they are located across from one another gives them the name "vertically opposite angles." Whenever two angles are vertically opposed, they are equal. Additionally, a vertical angle and the angle to it are supplementary angles because they add up to 180 degrees. For instance, if two lines cross and form an angle with a given value (X=45°), then the opposing angle also has a value of 45°. The angle measure of vertical angles is constant, making them congruent.∠AOB + ∠BOC = 180°
92°+( 10x + 32 )° = 180°
10x + 32° = 180 - 92
10x + 32° = 88
10x = 88 - 32
10x = 56
x = 56 ÷ 10
x = 5.6°
Hence, the value of X is 5.6 and Z is 92.
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A radio tower is located 300 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 21° and that the angle of depression to the bottom of the
tower is 20°. How tall is the tower?
Round your answer to 2 decimal places as needed.
Answer:
We can use the tangent function to solve for the height of the tower. The tangent of an angle is the ratio of the opposite side to the adjacent side in a right triangle.
First, we'll find the opposite side (the height of the tower) using the angle of elevation:
tan(21°) = opposite / 300
opposite = 300 * tan(21°)
Then we'll find the opposite side (the depth of the base of the tower below the window) using the angle of depression:
tan(20°) = opposite / 300
opposite = 300 * tan(20°)
Now we can add the two opposite sides we found to get the total height of the tower
height = opposite(elevation) + opposite(depression)
height = 300 * tan(21°) + 300 * tan(20°)
The angle should be converted to radians before using the tangent function, and the final answer should be rounded to 2 decimal places.
Step-by-step explanation:
what is
4 divided by 4/5
Answer:
5
Step-by-step explanation:
