Answer:
0.3
Step-by-step explanation:
Simplify: -1.8 + 2.1-1.8 + 2.1 = 0.3I hope this helps!
It is Moesha's birthday. Her mom gives her $10, and her dad gives her $15. Moesha uses her gifts to buy a doll for $20.
Both expressions below represent how much money she has left.
Expression 1: $10+ $15 - $20
Expression 2: ($10+ $15) - $20
Why is expression 2 better than expression 1 in representing Moesha's situation?
A Expression 2 stresses that the doll could not be bought without parents' gifts.
B Expression 1 separates the money that Moesha got as gifts from the money that she spent.
C Expression 2 shows Moesha's parents gave her a doll.
D Expression 1 does not solve to the correct amount of money that Moesha has left.
Answer:
the answer is B
Step-by-step explanation:
A rectangular city is 6 miles long and 11 miles wide. What is the distance between opposite corners of the city? The exact distance is ______ miles. How far is it to the closest tenth of a mile? Answer: The distance is approximately ________ miles.
Answer:
66
Step-by-step explanation:
17
Why should I probably get my first credit card from the same institution that has my checking and/or savings account?Because building a relationship with a financial institution makes good OA sense You should not. You should get your first card at one of those really cool OB. student websites. A better idea is to pick your credit card company based on which gift I like Oc the best. OD Because local institutions offer better gifts
I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
What is a credit card?The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.
However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.
Now, I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
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HELP ME PLEASE!!!!!!!!!!!!
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is: ∠A = 39.6°
3) The length of side x is: x = 39.5 mm
How to find the trigonometric ratios?The six trigonometric ratios of a right angle triangle are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
cot x = 1/tan x
sec x = 1/cos x
cosec x = 1/sin x
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is gotten from:
∠A = cos⁻¹ (47/61)
∠A = 39.6°
3) The length of side x using trigonometric ratios is:
21/x = tan 28
x = 21/tan 28
x = 39.5 mm
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Two towns are 1150 miles apart. A group of hikers starts from each town and walks down the trail toward each other. They meet after a total hiking time of 220 hours. If one group travels 1 1/2 mile per hour slower than the other group, find the rate of each group.
The rate of the slower group is?
The rate of the faster group is?
The rate of each group was 1.86 mph and 3.36 mph.
Given that the two towns are 1150 miles apart.
A group of hikers from each town meet after a total hiking time of 220 hours.
One group travels 1 1/2 mile per hour slower than the other group,
We need to find the rate of each group,
So, let use consider, distance travelled by one group = x miles,
Therefore, second group travelled = 1150 - x miles.
Rate of first group = y mph
Rate of second group = y - 3/2 mph
Rate = distance / time
So,
y = x / 220
x = 220y.............(i)
Similarly,
y-3/2 = 1150 - x / 220
220y - 330 = 1150 - x
Using eq (i)
220y - 330 = 1150 - 220y
440y = 1480
y = 3.36
y - 3/2 = 1.86
Hence the rate of each group was 1.86 mph and 3.36 mph.
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Which of the following is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?
The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.
The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.
Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.
The inverse sine of 0.707 is π/4 radians or 45 degrees.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The scaled triangle will be larger than the initial size by a factor 2.
The scaled square will be smaller than the initial side by a factor 4.
What is dilation?Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.
Dilation involves scaling an object by a certain factor, that might result in enlarging or reducing its dimensions uniformly in all directions.
Based on the given diagram, the new length and size of the object is calculated as follows;
For the triangle, (measure the length with ruler)
new lengths = 2 times the original lengthoriginal length = 2 cm, new length = 4 cmthe new size of the triangle will increase by a factor 2For the square; (measure the length with ruler)
new lengths = 0.25 times the original lengthoriginal length = 4 cm, new length = 2 cmthe new size of the square will decrease by a factor 4Learn more about dilation here: brainly.com/question/20482938
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Help me please this is a test and I don’t want to fail
Answer: 0.4%
40%
37.5%
Step-by-step explanation:
A new truck costing $60,000 with a residual value of $6,000
Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears. 2x+y=2 x-y=1 (1,0)
Answer
The graph of the system of equations is
The red line represent 2x + y = 2
The blue line represents x - y = 1
We can see from the graph that the two lines intersect at the point (1, 0)
Hence, the solution of this system of equation is
x = 1
y = 0
Explanation
The solution to solving a system of equations graphically exists at the point where the lines that represents each of the equations intersect with each other.
So, I will quickly make a plot of the two lines using intercepts based on the equations given
2x + y = 2
x - y = 1
2x + y = 2
when x = 0
2(0) + y = 2
y = 2
First point on the line is (0, 2)
when y = 0
2x + 0 = 2
2x = 2
x = 1
Second point on the line is (1, 0)
x - y = 1
when x = 0
0 - y = 1
-y = 1
y = -1
First point on the line is (0, -1)
when y = 0
x - 0 = 1
x = 1
Second poit on the line is (1, 0)
The graph is presented under 'Answer' above.
Hope this Helps!!!
The question is attached below
The expected number of pizzas to be stuffed crust is given as follows:
500.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The sample size is given as follows:
408 + 224 + 208 + 200 = 1040.
Out of these, 208 are stuffed crust, hence the probability is given as follows:
p = 208/1040.
Out of 2500 pizzas, the expected number is then given as follows:
E(X) = 2500 x 208/1040
E(X) = 500.
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Multiply. Simplify your answer and write as a mixed or whole number.
6 1/3 ⋅ 2
x divided by 6 plus 11 = 14
show steps
what is x
Answer:
x=18
Step-by-step explanation:
\( \frac{x}{6} + 11 = 14\)
\( \frac{x}{6} = 3\)
x=6×3
x=18
plz mark as brainliest
50 divided by 40 express in decimal pls
Answer:
1.25
Step-by-step explanation:
calculator
Abby knows that 1 mile is about 1.61 kilometers. She wants to write an equation she can use to convert
any given distance in miles (m) to kilometers (k).
How should Abby write her equation?
Abby should write her equation as k = 1.61m.
The correct option is B.
What is an equation?A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.
Given:
Abby knows that 1 mile is about 1.61 kilometers.
To write an equation, which she can use to convert any given distance in miles (m) to kilometers (k):
Let m be the total number of miles and k be the kilometers.
So, the equation is,
k = 1.61m
Where 1.61 is multiplied by m.
Therefore, the equation is k = 1.61m.
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-5 1/4 -(-7 1/2) simplify
really fast pleas
A figure has vertices at (-3,5), (-1,8), (1,5), (1,1), (-1,-2) and (-3,1). What is the correct name
of this figure?
Answer:
regular hexagon
Step-by-step explanation:
A thermometer reading 10°C is brought into a room with a constant temperature of 36°C. if the thermometer reads 14°C after 2 minutes, what will it read after beint left in the room for 4 minutes? and for 9 minutes?
Answer:
4 minutes: 17.4 °C9 minutes: 23.7 °CStep-by-step explanation:
You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.
Newton's law of coolingNewton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...
T = 36 -26·(22/26)^(t/2)
At times of t=4 and t=9, the temperature readings will be ...
4 minutes: 36 -26(11/13)^(4/2) ≈ 17.4 °C9 minutes: 36 -26(11/13)^(9/2) ≈ 23.7 °C__
Additional comment
The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.
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Please awnser asap I will brainlist
They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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(-4, -4), (2,3), and (-4, 6). What is the area, in square units, of this shape?
Answer:
24 sq units
Step-by-step explanation:
shape is a triangle with a height of 6 and a base of 8
A = bh/2
A = (6·8)/2
A = 24
what is the time signature of Chua ay songaliya
Answer:
The time signature (also known as meter signature, metre signature, or measure signature) is a notational convention used in Western musical notation to specify how many beats (pulses) are contained in each measure (bar), and which note value is equivalent to a beat.Step-by-step explanation:
The time signature (also known as meter signature, metre signature, or measure signature) is a notational convention used in Western musical notation to specify how many beats (pulses) are contained in each measure (bar), and which note value is equivalent to a beat.Answer:
2/4
Step-by-step explanation:
Rotate the point (2,3) by 90 degrees counterclockwise around the origin. Whats is its image point?
the blue point is the original point and the red point is the point rotate by 90° counterclockwise around the origin
The rectangular floor of Ms. Ragan's closet is completely covered with carpet squares. Each carpet square covers 1 square foot of the floor. There are 4 rows and each row has 16 carpet squares. What is the area of the floor of this closet in square feet?
The area of the rectangular closet is given by the equation A = 64 feet²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular closet be represented as A
Now , the equation will be
The area of 1 carpet square = 1 foot²
The number of rows = 4 rows
The number of carpet square in each row = 16 carpet squares
So , the total number of carpet squares in 4 rows = number of rows x number of carpet square in each row
Substituting the values in the equation , we get
The total number of carpet squares in 4 rows = 16 x 4 = 64 carpet squares
So , the area of 64 carpet squares = 64 x area of 1 carpet square
Substituting the values in the equation , we get
The area of the rectangular closet A = 64 feet²
Hence , the area of the rectangular floor is 64 feet²
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(HELP 50 POINTS)
A beach lifeguard wants to create the largest triangular area he can with three lengths of rope to provide beach goers with maximum amount of space to play and swim in the water. Multiple buoys are attached to each rope in order to identify the designated swimming area. The first rope is 42 feet long, the second is 50 feet long, and then the third is 107 feet long. The lifeguard can only cut one of the ropes in order to create a triangle with the largest possible perimeter. How much rope, in feet, will be remaining after the lifeguard creates the designated swimming triangle? (Note: answer should be a whole number.)
Answer:
16
Step-by-step explanation:
I am doing Prepworks Basic triangles as well :D
Given: f(x) = 4.1 42 4x-10 x-2 Determine the x- and y-intercepts of f. 4.3 a x=2² Write f(x) in the form: f(x)=- + q. Draw the graph of f, clearly show the intercepts with the axes and the asymptotes.: 15. 44 Give the equations of the asymptotes of f(x) + 3.
f(x) = 4.1/(42.4x-10(x-2)), x-intercept = -4.878, y-intercept = (0,-2.05), asymptotes: vertical at x=2, horizontal at y=0, and slant at y=4.1/8x.
Given: f(x) = 4.1/(42.4x-10(x-2))
To find the x-intercept, we set f(x) to zero and solve for x:
0 = 4.1/(42.4x-10(x-2))
0 = 4.1/(32.4x+20)
0 = 4.1/4.08(x+4.878)
So, the x-intercept is x = -4.878.
To find the y-intercept, we set x to zero and solve for f(x):
f(0) = 4.1/(42.4(0)-10(0-2))
f(0) = -2.05
So, the y-intercept is (0,-2.05).
To write f(x) in the form f(x) = -1/(ax + b) + q, we can simplify the expression as follows:
f(x) = 4.1/(42.4x-10(x-2))
f(x) = 4.1/(32.4x+20)
f(x) = 4.1/4.08(8x+5)
So, a = 8, b = 5, and q = 4.1/4.08.
To draw the graph of f, we plot the x- and y-intercepts and the vertical asymptote x = 2.
We can find the horizontal asymptote by noting that as x becomes very large or very small, the term 10(x-2) dominates the expression, so f(x) approaches 4.1/-10x. Thus, the horizontal asymptote is y = 0.
To find the equations of the slant asymptotes, we divide the numerator by the denominator using long division:
4.1
8x + 5 | 4.1
- 4.1
0
So, the slant asymptote is y = 4.1/8x.
Therefore, the intercepts of f are x = -4.878 and (0,-2.05), and the equation of f(x) in the form f(x) = -1/(ax + b) + q is f(x) = -1/(8x + 5) + 1.0039.
The graph of f has intercepts with the x-axis at x = -4.878 and the y-axis at (0,-2.05), a vertical asymptote at x = 2, a horizontal asymptote at y = 0, and a slant asymptote at y = 4.1/8x.
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Which of the following assumptions is not required for the Least Squares principle to produce the line of best fit:_______.
a. the error term (e) is a normally distributed random variable
b. R-square must be greater than 1.0
c. the variance of the error term is constant
d. all of the above are correct answers
Answer:
b. R-square must be greater than 1.0
Step-by-step explanation:
For a least square regression fit, Assumptions include : Absence of heteroscedasticity, which is the variation must not occur in the variance of the error term. That is the variance between error term and each observation is consistent.
Also, Lack of correlation between observations of the error term and also between independent variables and the error term. It is highly recommended that error term be randomized and normally distributed variable.
The value of R - squared being greater Than 1 is. not an assumption of the least square principle for fitting a regression line.
PLEASEE help me to SOLVE this
Answer:
are you looking to graph this?
Step-by-step explanation:
For each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler. 1. (1,1) and (7,5) 2. (1,1) and (5,7) 3. (2,5) and (-1,2) 4. (2,5) and (-7,-4)
To find the slopes of the line that passes through the points (1, 1) and (7, 5), we can follow the next steps:
1. Identify the coordinates of the points:
x1 = 1
y1 = 1
x2 = 7
y2 = 5
2. Apply the formula of the slope of a line:
\(m=\frac{y_2-y_1}{x_2-x_1}\Rightarrow m=\frac{5-1}{7-1}\Rightarrow m=\frac{4}{6}\Rightarrow m=\frac{2}{3}\)Then, the slope of the line that passes through the points (1, 1) and (7, 5) is m = 2/3.
2. We can follow the same for case 2. (1, 1) and (5, 7):
x1 = 1
y1 = 1
x2 = 5
y2 = 7
Then
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{7-1}{5-1}\Rightarrow m=\frac{6}{4}\Rightarrow m=\frac{3}{2}\)Then, the slope of the line that passes through the points (1, 1) and (5, 7) is m = 3/2.
3. We can follow the same for case 3, (2, 5) and (-1, 2):
x1 = 2
y1 = 5
x2 = -1
y2 = 2
\(m=\frac{2-5}{-1-2}\Rightarrow m=\frac{-3}{-3}\Rightarrow m=1\)Then, the slope of the line that passes through the points (2, 5) and (-1, 2) is m = 1.
4. We can follow the same for case 4, (2,5) and (-7, -4):
x1 = 2
y1 = 5
x2 = -7
y2 = -4
\(m=\frac{-4-5}{-7-2}\Rightarrow m=\frac{-9}{-9}\Rightarrow m=1\)Then, the slope of the line that passes through the points (2, 5) and (-7, -4) is m = 1.
Use a proof by contraposition to prove that if m and n are integers and mn is even, then m is even or n is even.
In order for mn to be even, m must be even or n must be an even number.
What is Contraposition ?The relationship between two propositions when the subject and predicate of one are respectively the negation of the predicate and the negation of the subject of the other.
Suppose that the statement “m is even or n is even” is not true. Then both m and n are supposed to be odd. Let’s see if the product of two odd numbers is an even or an odd number:
Let n and m be equal to 2a +1 and 2b + 1 respectively, then their product is:
(2a +1) (2b + 1) = 4ab + 2a + 2b + 1
= 2(2ab +a + b) + 1
This shows that the expression 2(2ab +a + b) + 1 is of the form 2n +1, thus the product is odd. If the product of odd numbers is odd, then mn is not true to be even. Therefore, in order for mn to be even, m must be even or n must be an even number.
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this figure shows Circle O with diameter QS.
mRSQ = 307°, what is the measure of ROQ.
Enter answer in the Box?