Answer:
she has 2 half dollors and 1 dimes
Step-by-step explanation:
2 half dollors means 2x20=40 coins
1 dimes means 1x50=50 coins
when you total it you get 50+40=90
so it is 3 rolls and it totally has 90
What is the area of this triangle?
8cm
6cm
2cm
Answer:
6cm square
Step-by-step explanation:
Factorise the following:
a) x + 3x - 4
b) x-2x-3
c) x +2x-8
A tank in the shape of a hemisphere has a radius of 14 feet. If the liquid that fills the tank has a density of 83.1 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
Answer:
477,577 lb
Step-by-step explanation:
Volume of sphere:
V = (4/3)πr³
V = (1/2)(4/3)(3.14159)(14 ft)³ = 5,747.015 ft³
d = 83.1 lb/ft³
W = Vd
W = 5,747.105 ft³ × 83.1 lb/ft³
W = 477,577 lb
jake's on 49 tickets to the school are, and jeans sold 12 tickets. what is the ratio, in simplest form, of the number of tickets jeans sold to the number of tickets jake sold?
The ratio in simplest form, of the number of tickets jeans sold to the number of tickets jake sold is 12/49.
Given that,
Jake sold 49 tickets while jeans sold 12 for the school.
In simplest form the ratio of the given case will be;
Simplest form:
A fraction is a number that falls between the whole numbers but is not a whole number. It belongs to the entire. A fraction also consists of a denominator and a numerator. We obtain the fraction in its simplest form when both the numerator and denominator can no longer be independently reduced to any smaller integer.
The ratio we get;
→ 12/49
The ratio in simplest form, of the number of tickets jeans sold to the number of tickets jake sold is 12/49.
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given f(x) =2x^2+5, evaluate f(4)
Answer:
f(4) = - 27
Step-by-step explanation:
substitute x = 4 into f(x) , that is
f(4) = - 2(4)² + 5 = - 2(16) + 5 = - 32 + 5 = - 27
Answer:
69
Step-by-step explanation:
Replace x with 4
-2(4)^2 +5
-8^2+5
64+5
69
Please help quick this is due tomorrow and I forgot how to find x
Answer:
you have to add x outside of the parentheses
Step-by-step explanation: hope this helps
PLEASE HELP!
Find the y-intercept of the line on the graph.
Enter the correct answer.
008
Clear all
7
DONE
Answer: y intercept is -1
Step-by-step explanation:
Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.
T=
U=
V=
W=
The coordinates of the vertices after a rotation 270° counterclockwise around the origin is
T' = (-8, -4)
U' = (-8, -6)
V' = (-3, -9)
W' = (-3, -7)
The coordinates of T = (4, -8)
The coordinates of U = (6, -8)
The coordinates of V = (9, -3)
The coordinates of W = (7, -3)
The rule of rotating 270 degree clockwise around the origin is
P(x, y) = P'(y, -x)
The coordinates of T' = (-8, -4)
The coordinates of U' = (-8, -6)
The coordinates of V' = (-3, -9)
The coordinates of W' = (-3, -7)
Hence, The coordinates of the vertices after a rotation 270° counterclockwise around the origin is
T' = (-8, -4)
U' = (-8, -6)
V' = (-3, -9)
W' = (-3, -7)
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In the first week of July, a record 1,040 people went to the local swimming pool. In the second week, 110 fewer people went to the pool than in the first week. In the third week, 145 more people went to the pool than in the second week. In the fourth week, 139 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer:
62%
Step-by-step explanation:
1040-110-145-139=646
646/1040=62%
along a river is to be fenced. suppose that no fence is needed along the river, the fence on the side opposite the river costs $40 per foot, and the fence on the other sides costs $10 per foot. if the field must contain 64,800 square feet, what dimensions will minimize costs?
The dimensions required to minimize the cost of fencing is 180ft and 360 ft.
According to question
The cost of fence on opposite side of river is $40.
The cost of fence on other sides of river is $10.
Total yield = 64800 sq. feet
Let the length of fence on the opposite side of fence be x and width of fence on the other side be y.
Area of fence = xy = 64800 sq feet
⇒ [tex]y = \frac{64800}{x}[/tex]
Let C be the cost of making fence.
For cost to be minimum, dC/dx should be equal to zero.
C = 40x + 10y * 2
⇒ C = [tex]40x + 10(\frac{64800}{x})*2[/tex]
⇒ [tex]\frac{dC}{dx} = 40 + 20 * 64800 * \frac{-1}{x^{2} } = 0[/tex]
⇒ [tex]40x^{2} = 20 * 64800[/tex]
⇒ [tex]x^{2} = 32400[/tex]
⇒ [tex]x = 180[/tex]
⇒ [tex]y = \frac{64800}{180} = 360[/tex]
So, the dimensions needed will be 180 ft and 360 ft.
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Find the area of the square . Units required 18cm
Answer:
324 cm²
Step-by-step explanation:
area of a square = L x L = L²
L = 18cm
(18cm)² = 18cm x 18cm = 324 cm²
Solve the inequality -y +3 ≤ 8 and y + 2> 9.
Answer:
y ≥ -5 and y > 7
Step-by-step explanation:
Collect like terms
-y ≤ 8 - 3
-y ≤ 5
Divide both sides by -1
-1y/-1 ≤ 5/-1
y ≥ -5
And
y > 9 - 2
y > 7
Determine the value of the expression −2(42−7)+(−5) .
The value of the expression −2(42−7)+(−5) is -75.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, we want to calculate the value of the expression:
−2(42−7)+(−5)
= -2(35) + (-5)
= -70 - 5
= -75
The value is -75.
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ABCD is a square. If LABC = (6x - 12)° and CD= (x + 15). Find the length of AD.
Answer:
AD = 32
Step-by-step explanation:
You want the length of side AD of square ABCD, when CD = (x+15) and angle ABC is (6x-12)°.
Value of xThe value of x can be found by recognizing that the measure of any angle in a square is 90°.
(6x -12)° = 90°
6x = 102 . . . . . . . . divide by °, add 12
x = 17
Measure of ADThe sides of a square are congruent, so ...
AD = CD = (x +15) = 17 +15 = 32
The length of AD is 32 units.
Please help i need this today.
Answer:
option c this is no solution for the equations
Answer:
x=5 y=-8 the calc are in the photo
please help. what is the equation??
Answer:
y = -x + 4
Step-by-step explanation:
The equation of a line follows the form y=mx+c, where x and y are the coordinates, c is the y-intercept (the value of x where the line crosses the y-axis), and m is the slope.
We are given two points/coordinates - (-3,7) and (1,3) - so we know the following is true for our equation:
7=-3m+c
3=m+c
Rearranging the second equation above, we get c=3-m. Sub this into the first one, and we get
7=-3m+3-m
4=-4m
m=-1
Knowing c=3-m, we can say c=3-(-1)=3+1=4
Having found values for m and c, we can now write our equation:
y = -x + 4
Hope this helps :)
a person has a 5% chance of winning a free ticket in a state lottery. she plays the game 12 times. what is the probability she will win two or more tickets? round your answers to three decimal places.
The probability to win two or more tickets in the lottery is 0.118
It is given that there is a 5% chance to win a lottery ticket.
Therefore, the probability to win a lottery ticket is
0.05
The girl here plays the game 12 times. The above distribution is clearly a Binomial Distribution
ⁿCₓ X pˣ X (1 - p)ⁿ⁻ˣ
We need to calculate the probability to win 2 or more tickets
= 1 - the probability to win at least one ticket
= 1 - P(X = 0) + P(X = 1)
here,
p = 0.05
1 - p = 0.95
n = 12
P(X = 0)
= ¹²C₀ X 0.05⁰ X 0.95¹²
= 0.54036
P(X = 1)
= ¹²C₁ X 0.05¹ X 0.95¹¹
= 0.34128
Hence we get
P(X ≥ 2) = 1 - 0.54036 - 0.34128
= 0.118
Therefore, we get the probability that the person will win 2 or more tickets to be 0.118
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Please help me I don’t get it
Step-by-step explanation:
3.
we need to find the map size based on actual miles.
so, we find how many map ft are 1 actual mile :
5 ft / 20.5 corresponds to 1 actual mile.
5 / 20.5 = 10/41 ft
now, we have 15.5 actual miles, that is 15.5 times the 1 standard actual mile.
and so, this is
10/41 × 15.5 = 155/41 = 3.7804878048780... map ft
4.
30.5 model cm = 70.6 actual m
1 model cm = 70.6/30.5 = 2.314754098... actual m.
8 model cm = 8×2.314754098... =
= 18.51803279... actual m
5.
7 map m = 14 actual miles
1 map m = 14/7 = 2 actual miles.
14 map m = 14×2 = 28 actual miles.
6.
8 map km = 6 actual miles
we need to calculate the map km, so we need the standard actual mile
1 actual mile = 8/6 = 4/3 = 1.3333333... map km.
50.2 actual miles = 50.2×1.333333... =
= 66.93333333... map km.
7.
80.2 model cm = 40.2 actual m
1 model cm = 40.2/80.2 = 0.501246883... actual m
10 model cm = 10×0.501246883... =
= 5.01246883... actual m
8.
6 map m = 15 actual miles
1 map m = 15/6 = 5/2 = 2.5 actual miles
8.8 map m = 8.8×2.5 = 22 actual miles
9.
5 map ft = 16.5 actual miles
1 actual mile = 5/16.5 = 0.303030303... map ft
45.6 actual miles = 45.6×0.303030303... =
= 13.81818181... map ft
10.
65.8 model cm = 95.6 actual m
1 model cm = 95.6/65.8 = 1.452887538... actual m
12 model cm = 12×1.452887538... =
= 17.43465046... actual m
What is the image of the point (-7,5)(−7,5) after a rotation of 180^{\circ}180
∘
counterclockwise about the origin?
The coordinates of the image of the point (-7, 5) are (7, -5).
We are given point P. The coordinates of the point P are (-7, 5). We perform a transformation on the given point. We rotate the given point about the origin counter-clockwise. The angle of rotation is 180°. We need to find the coordinates of the image of the point after rotation.
Let the new coordinates of the image of the point after rotation be denoted by (X, Y). If the coordinates of the original point are (x, y), then the relations between the coordinates of the point and the image are given below.
X = x*cosθ - y*sinθ
X = (-7)*cos(180°) - (5)*sin(180°)
X = (-7)*(-1) - (5)*(0)
X = 7
Y = x*sinθ + y*cosθ
Y = (-7)*sin(180°) + (5)*cos(180°)
Y = (-7)*(0) + (5)*(-1)
Y = -5
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Caleb solved this equation and recorded his work.
7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6
1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 − 21.6
2. 15.6x − 16.4 = −2.3x + 35.4
3. 17.9x − 16.4 = 35.4
4. 17.9x = 51.8
5. x ≈ 2.89
When Caleb verified his solution, it didn’t work. What mistake did he make?
In step 1, the distributive property was not used properly on the right side of the equation.
In step 2, the like terms were not combined properly on the right side of the equation.
In step 3, the addition property of equality was not used properly to isolate the variable term.
In step 5, the division property of equality was not used properly to solve for x.
hurry pls :,)
Answer:
the mistake was in subtracting 21.6 from 13.8
Step-by-step explanation:
the answer was suppose to be -7.8 and not 35.4
Answer:
the mistake was in subtracting 21.6 from 13.8
Step-by-step explanation
the answer was suppose to be -7.8 and not 35.4
Write the equation of a line in point slope form that has a slope of 1/3 and passes through the point (6,-2)
The equation of a line in the point-slope form that has a slope of 1/3 and passes through the point (6,-2) is [tex]y+2 =\frac{1}{3} (x-6 )[/tex].
What is point-slope form?A straight line is represented using its slope and a point on the line using point slope form. In other words, the point-slope form is used to determine the equation of a line whose slope is "m" and passes through the point ([tex]x_{1}, y_{1}[/tex]). The equation of a straight line can be expressed in various ways, Point slope shape is one of them. The point slope form's equation is as follows:[tex]y-y_{1} =m(x-x_{1} )[/tex]where (x, y) is a chance point on the line that should be treated as a variable when using the formula.A fixed point on the line is ([tex]x_{1}, y_{1}[/tex]).The slope of the line is m.Calculation
[tex]y-y_{1} =m(x-x_{1} )[/tex]
[tex]y-(-2) =\frac{1}{3} (x-6 )[/tex]
[tex]y+2 =\frac{1}{3} (x-6 )[/tex]
Therefore, the equation of a line in the point-slope form that has a slope of 1/3 and passes through the point(6, -2) is [tex]y+2 =\frac{1}{3} (x-6 )[/tex]
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Bridgette has 9 dogs. Every day, she feeds them a total of 9/10 of a can of food, where each dog is fed the same amount of food. How many cans of food does Bridgette give to each dog?
Bridgette gives 1/10 cans of food to each dog.
According to the question,
We have the following information:
Bridgette has 9 dogs. Every day, she feeds them a total of 9/10 of a can of food, where each dog is fed the same amount of food.
Now, we have the following expression:
9 dogs = 9/10 can
Now, we can easily find the cans given to each dog using division. We will divide the total number of cans of food by the number of dogs.
1 dog = 9/(10*9) cans
1 dog = 1/10 cans of food
Hence, Bridgette gives 1/10 cans of food to each dog.
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Question
A botanist created a linear model to predict plant height from soil acidity (pH level) for a certain type of plant. The slope of the model was 2.5 centimeters per pH level, the standard deviation of the sample of plant heights was 4 centimeters, and the standard deviation of the soil acidities was 1 pH level. What is the value of the correlation coefficient?
The value of the correlation coefficient is 0.625.
What is a correlation coefficient?Correlation coefficients quantify the strength of a relationship between two variables. A correlation coefficient is a number ranging from -1 to 1 that indicates the degree and direction of a relationship between variables. It is a statistical notion that aids in the establishment of a relationship between predicted and actual values collected in a statistical experiment.
In this case, the slope of the model was 2.5 centimeters per pH level, and the standard deviation of the sample of plant heights was 4 centimeters.
The correlation coefficient will be:
= Slope / Standard Deviation
= 2.5 / 4
= 0.625
The coefficient is 0.625.
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HELP!
I will name you the BRAINLIEST!
The thing is in the photo.
I do not understand it because it looks like it has "!" Please help.
The expression 11! / 9!(11-9)! evaluates to 55
How to evaluate numbers with the factorial sign?The symbol ! is called factorial in mathematics.
Factorial can be defined as the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.
Thus, factorial five is written as 5! meaning 5×4×3×2×1
It can also be written in shortened form as 5×4! or 5×4×3!
Let's evaluate 11! / 9!(11-9)! now:
11! / 9!(11-9)! = 11! / 9!(2)!
= 11×10×9! / 9!2!
= 11×10/ 2 (Note: 2! = 2×1 =2 )
= 110/2
= 55
Note: We shortened 11! to 11×10×9! because we want the 9! to cancel out each other. This is usually done to ease the evaluation. Also, note that 0! = 1
Therefore, the result of the evaluation of the expression 11! / 9!(11-9)! is 55
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Phil lives in a state where his tax rate does not change when his income changes. This is an example of a(n) ____ ?
Phil lives in a state where his tax rate does not change when his income changes. This is an example of a proportional or flat tax.
What is tax?Tax is defined as the official way individuals contribute to their state revenue through the compulsory deduction of some amount of money from their monthly income.
There are two types of tax which include the following:
Regressive tax,Progressive tax, andProportional or flat tax.Proportional or flat tax: This is defined as the type of tax that is being paid by individuals from different class in the society whereby all are expected to pay tax with the same rate irrespective of the income.
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Ester sarai and kurry chose a number esters number is 1/10 of saris kurrys number is 10 times as much as sarais sarais number is 0.09. what number did each person choose?
Ester, Sarai, and Kurry each selected a number: 0.009, 0.09, and 0.9, respectively.
One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes. For instance, 3+3+3+3+3 can be expressed as 3 5.
the ester's number is equal to one-tenth of the Sarai number.
= 1 / 10 × 0.09 = 0.009
to determine Kurry's number, multiply Sarai's number by 10
= 10 × 0.09 = 0.9
Therefore, it can be inferred that Kurry chose 0.9, Ester chose 0.009, and Sarai chose 0.09.
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I need help asap… Is this relation a function or no ?
Answer:
Step-by-step explanation:
yes, it is a function
Answer: no
Step-by-step explanation: you have -2,-5 and -2,0 you cant have 2 or more x values that are the same.
Could someone help me out, please?
Answer:
For x = -2, y would equal -3.
For x = -1, y would equal -2.
For x = 0, y would equal -1.
For x = 1, y would equal 0.
For x = 2, y would equal 1.
Step-by-step explanation:
So what we have to do is plug in the x-values from the table into the equation.
1) y = -2 -1 => y = -3
2) y = -1 - 1 => y = -2
3) y = 0 - 1 => y = -1
4) y = 1 - 1 => y = 0
5) y = 2 - 1 => y = 1
9x – 17 = -17 + 9x help me pls
Answer:
Step-by-step explanation:
um ok so
Answer:
x=0
Step-by-step explanation:
the rest of this is so i can reach twenty characters.
Is (4, 1) a solution to this system of inequalities?
3x + y ≤ 14
3x + 5y < 19
(4, 1) is the solution for the given inequalities
Given,
The system of inequalities;
3x + y ≤ 14
3x + 5y < 19
We have to find that (4, 1) is a solution to the given system of inequalities;
So,
(x, y) = (4, 1)
Then,
Substitute the values of x and y in the equation;
3x + y ≤ 14
3 x 4 + 1 ≤ 14
12 + 1 ≤ 14
13 ≤ 14
Next,
3x + 5y < 19
3 x 4 + 5 x 1 < 19
12 + 5 < 19
17 < 19
Here,
(4, 1) is the solution for the given inequalities
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