Answer:
6.5
Step-by-step explanation:
8÷tan(51)=6.47...
=6.5(correct to the nearest tenth)
Which of the following values are in the range of the function graphed below?
Check all that apply.
A. 2.
B. 1
C. 1/2
D. -1
E. 5
Answer:
B. 1 and C. 1/2
Step-by-step explanation:
Confirmed
Jorge is an administrative assistant. He was involved in a serious car accident and broke both wrists. Which of his
insurance plans will provide him with income while he is out of work recovering for six weeks?
A)short-term disability
B)workers' compensation
C)long-term disability insurance
D)medical insurance
Answer:
Medical Insurance
Step-by-step explanation:
Answer:
Medical Insurance
Step-by-step explanation:
serious car accident and broke both wrists.
Which of the following lists of ordered pairs is a function? A. (2,5), (3, 6), (6, 9) B. (-1,2), (2, 3), (3, 1), (2,5) C. (1,2), (4,0), (3,5),(4,3) D. (2,5), (3, 6), (2, 1)
Answer:
A. (2,5), (3,6), (6,9)
Step-by-step explanation:
In order to be a function, all inputs (x values) must go to only one output (y value). List A is the only list that obeys this rule. Therefore, List A is a function.
Please help me with my math
Answer:
I see a right angle, so the transversal is perpendicular to the parallel lines. Therefore, x and y are supplementary and congruent, and so we have x = 90 and
y = 90.
In a right triangle, sin(40 - 2) = cos(32)'. What is the value of x?
O 10
O 15
O 20
O 25
Answer:
x = 25
Step-by-step explanation:
Correct question
In a right triangle Sin (40-x)=cos(3x) what is the value of x
Since Sin theta = Cos(90-theta)
Sin (40-x) = Sin(90-3x)
40 - x = 90 - 3x
-x+3x = 90 - 40
2x = 50
x = 25
Hence the value of x is 25
Mr. Worng predicted that he would sell 45 automobiles. He actually sold 48
Answer:
3 or 6.67%
Step-by-step explanation:
I'm assuming you want how much cars his prediction was off or how much percent
48 - 45 = 3
3/45 = 6.67%
Over which interval does g have a negative average rate of change? Please answer ASAP!
Answer:
b
Step-by-step explanation:
when x is -2, y is 7
when x is -1, y is 5
we can see y is decreasing and it continues to decrease until x is 3
The average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
A function g(x) is shown in the table.
As we know the average rate of change of a function can be given:
The average rate of change = change in y values/change in x values
For the interval [1, 5]
The average rate of change = (2-0)/(5-1) = 2/4 = 1/2
For the interval [-2, 3]
The average rate of change = (-5-7)/(3+2) = -12/5
For the interval [-5, 0]
The average rate of change = (3-0)/(0+5) = 3/5
For the interval [-4, -1]
The average rate of change = (5-2)/(-1+4) = 3/3 = 1
Thus, the average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.
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PLEEAASSEE help i will give brainliest
Answer:
e) 17 miles
Step-by-step explanation:
15^2+8^2=289
\(\sqrt{289\)=17
Simplify the expression c^-6d^4/c^-16d^14
Answer:
c^10 d^18
Step-by-step explanation:
a sphere of radius r inches is sliced by a plane that is d inches from the center. in terms of r and d, what is the radius of the circle of intersection?
The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.
What is equations?There are many different ways to define an equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1.This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.Hence, The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.
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Sean traveled 100 miles. It took her 3 hours. What was her average speed?
Answer:
33.333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
100/3
WILL GIVE BRAINLIST AND 5 STAR REVIEW
Answer:
It's not equal
Left side is -11, right side is 4
It's the second box
8.5 - 6^2 (36) = -27.5
3^2 -5 = 4
-27.5 < 4
So it's not equal.
a bag of chocolates is labeled to contain 0.384 pounds of chocolate. the actual weight of the chocolates is 0.3798 pounds. how much lighter is the actual weight?
The actual weight is 0.0042 pounds lighter than the labeled weight.
The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.
Subtracting the actual weight from the labeled weight, we get:
0.384 pounds - 0.3798 pounds = 0.0042 pounds.
Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.
It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.
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The measures of two supplementary angles are 4x° and 2x°. Write and solve an equation to find the measure of each angle.
Equation: ________________________
Answer: _____________________________
Equation: \( 4x\degree + 2x\degree = 180°\)
Answer:
120°, 60°
Step-by-step explanation:
Since, sum of any two Supplementary angles is always 180°.
\( \therefore 4x\degree + 2x\degree = 180°\\
\therefore 6x\degree = 180°\\
\therefore 6x = 180\\\\
\therefore x = \frac{180}{6}\\\\
\therefore x = 30\\
\implies \\
4x° = (4\times 30)° = 120°\\
\&\\
2x° = (2\times 30)° = 60°\\
\)
AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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PLEASE HEEEEEEEEELP ME............
Answer:What do you need help with? My name is woods245 and whatever you need help with?
Step-by-step explanation:
harry invests £6000 in a savings account.
the account pays 3.4% compound interest every year.
after 3 years how much will his investment be
Step-by-step explanation:
here,
principal (p)=£6000
Rate (R)=. 3.4%
time (t)=3 yrs
now,
total investment is compound amount i.e CA
here,
\(CA = p(1 + \frac{r}{100} ) ^{t} \)
=£6000(1+3.4/100)^3
=£6633.044
here he will get his total investment as £6633.044 in compound interest of 3.4%
PLSSS HELPPPPOPPPPPPPP
Answer:
x = 15 ; y = 53
Step-by-step explanation:
(7x + 18)° + (4x - 3)° = 180°
11x + 15 = 180
11x = 165
x = 15
(2y + 17)° + (4(15) - 3)° = 180°
2y + 17 + 57 = 180
2y = 106
y = 53
7 (x + 2) = ?x + ?
someone please help me
f(x)=3x²-x+2
find f (-4)
48=3ײ-4
(4-)-2=6
48+6=54
Find the flow rate of water in each (steel) pipe at 25°C in each
pipe. Ignore minor losses.
1.2 ft³/s All pipes 2-1/2-in Schedule 40 50 ft 50 ft 30 ft 50 ft 50 ft 0.3 ft³/s 0.3 ft³/s 30 ft 0.6 ft³/s
The flow rate of water in each steel pipe at 25°C is as follows:
Pipe 1: 1.2 ft³/s
Pipe 2: 0.3 ft³/s
Pipe 3: 0.3 ft³/s
Pipe 4: 0.6 ft³/s
To calculate the flow rate of water in each steel pipe, we need to consider the properties of the pipes and the lengths of the sections through which the water flows. The schedule 40 pipes mentioned in the question are commonly used for various applications, including plumbing.
Given the lengths of each pipe section, we can calculate the total equivalent length (sum of all lengths) to determine the pressure drop across each pipe. Since the question mentions ignoring minor losses, we assume that the flow is fully developed and there are no significant changes in diameter or fittings that would cause additional pressure drop.
Using the flow rate formula Q = ΔP * A / √(ρ * (2 * g)), where Q is the flow rate, ΔP is the pressure drop, A is the cross-sectional area of the pipe, ρ is the density of water, and g is the acceleration due to gravity, we can calculate the flow rates.
Considering the given data, we can directly assign the flow rates to each pipe:
Pipe 1: 1.2 ft³/s
Pipe 2: 0.3 ft³/s
Pipe 3: 0.3 ft³/s
Pipe 4: 0.6 ft³/s
The flow rate of water in each steel pipe at 25°C is determined based on the given information. Pipe 1 has a flow rate of 1.2 ft³/s, Pipe 2 and Pipe 3 have flow rates of 0.3 ft³/s each, and Pipe 4 has a flow rate of 0.6 ft³/s. These values represent the volumetric flow rate of water through each pipe under the specified conditions.
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Find x and Angle EFG.
two thirds plus one fifth
Answer:
0.866666666666666666666666666666666 or 13/15
Step-by-step explanation:
Convert both numbers to fractions and add them together to get 13/15.
The addition of the two-thirds plus one-fifth is 13/15.
What is the addition?The addition of two or more numbers possesses some important properties.
The list of properties of addition given below will help in predicting the sign of the result obtained in the addition process.
The given expression is;
\(\rm \dfrac{2}{3}+\dfrac{1}{5}\)
The addition of the expression is determined in the following steps given below.
\(\rm = \dfrac{2}{3}+\dfrac{1}{5}\\\\=\dfrac{2 \times 5+3\times 1}{15}\\\\ =\dfrac{10+3}{15}\\\\=\dfrac{13}{15}\)
Hence, the addition of the two-thirds plus one-fifth is 13/15.
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Brenda deposited $225 into an account that earns 7. 25% compound interest. How much will be in her account after four years?
Brenda deposited $225 into an account that earns 7. 25% compound interest. After four years, Brenda will have $280.12 in her account.
Brenda deposited $225 into an account that earns compound interest at a rate of 7.25%. Compound interest means that the interest is added to the initial amount and then earns interest itself over time.
To calculate the final amount after four years, we can use the formula for compound interest:
Final Amount = Initial Amount * (1 + Interest Rate)^Number of Periods
In this case, the initial amount is $225, the interest rate is 7.25% (or 0.0725 as a decimal), and the number of periods is four years. Plugging in these values into the formula, we get:
Final Amount = $225 * (1 + 0.0725)^4 = $280.12
Therefore, after four years, Brenda will have $280.12 in her account.
Brenda's account will have $280.12 after four years of earning compound interest at a rate of 7.25%.
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compute u x v if u=6 and v 9 and the angle between u and v is 2pi/3
The magnitude of the cross product u x v is \(27\sqrt{3}\).
To compute the vector product (cross product) of u and v, we can use the formula:
u x v = |u| |v| sin(θ) n
Where:
|u| and |v| are the magnitudes of vectors u and v,
theta is the angle between u and v, and
n is the unit vector perpendicular to the plane formed by u and v.
Given:
u = 6
v = 9
θ = 2\(\pi\)/3
To find the magnitude of the cross product, we can use the formula:
|u x v| = |u| |v| sin(θ)
Plugging in the values, we get:
|u x v| = 6 * 9 * sin(2\(\pi\)/3)
= 54 * \(\sqrt{3}\)/ 2
= 27 \(\sqrt{3}\)
So the magnitude of the cross product is 27 \(\sqrt{3}\).
To determine the direction of the cross product, we can use the right-hand rule. Since the angle between u and v is 2\(\pi\)/3 (or 120°), the cross product will be perpendicular to the plane formed by u and v, pointing in a direction determined by the right-hand rule.
In conclusion, the vector product of u and v is 27 \(\sqrt{3}\), and its direction is perpendicular to the plane formed by u and v.
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Stacy and clinton are setting up the community center for a freshman orientation. they set up 8 rectangular tables with 6 chairs each and 5 round tables with 4 chairs each. the chairs are randomly numbered starting with 1 and the freshman will be randomly assigned a seat number.
what is the probability that the first freshman to arrive will be seated at a round table?
a 1/20
b 12/17
c 5/17
d 5/13
"The probability that the first freshman to arrive will be seated at a round table is (5/13)."
To calculate the probability, we need to determine the total number of seats and the number of seats at round tables.
There are 8 rectangular tables with 6 chairs each, so the total number of seats at rectangular tables is 8 * 6 = 48.
There are 5 round tables with 4 chairs each, so the total number of seats at round tables is 5 * 4 = 20.
The total number of seats in the community center is 48 + 20 = 68.
The probability of the first freshman being seated at a round table is the number of seats at round tables (20) divided by the total number of seats (68), which gives us 20/68 = 5/17.
Therefore, the correct answer is option C: 5/17.
In conclusion, the probability that the first freshman to arrive will be seated at a round table is 5/17. This is obtained by dividing the number of seats at round tables by the total number of seats in the community center.
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Which algebraic equation models the English sentence, a number subtracted from 8 is equal to 4?
let's x represent a number
8-x = 4
Answer:
8-x = 4
Step-by-step explanation:
took the test and got it correct
What happened to the owl who swallowed a watch
Answer:WAIT HE IS TELLING THE TIME
Step-by-step explanation:
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!
A rectangular pyramid has a volume of 216 in³. A rectangular prism has the same height as the rectangular pyramid and a base that is congruent to the base of the rectangular pyramid.
What is the relationship between the volume of the rectangular pyramid and the rectangular prism?
A.The volume of a rectangular prism is 2 times the volume of a rectangular pyramid. The volume of the rectangular prism is 432 in3.
B.The volume of a rectangular prism is 13 the volume of a rectangular pyramid. The volume of the rectangular prism is 72 in3.
C.The volume of a rectangular prism is 12 the volume of a rectangular pyramid. The volume of the rectangular prism is 108 in3.
D.The volume of a rectangular prism is 3 times the volume of a rectangular pyramid. The volume of the rectangular prism is 648 in3.
The relationship between a prism and a pyramid is the volume of a rectangular prism is 3 times the volume of a rectangular pyramid. The volume of the rectangular prism is 648 in3.
What is a rectangular prism?A rectangular prism is a 3-dimensional object. It has six rectangular faces . It has 8 vertices, 6 faces, and 12 edges. The volume of a rectangular prism = width x height x length
What is a rectangular pyramid?A rectangular pyramid is a three-dimensional object. It is made up of a rectangular base and a triangular face. The volume of a rectangular pyramid = 1/3(width x height x length )
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Answer:
It is C
Step-by-step explanation:I Have the exact answer on my test
Jackson invested $8,800 in an account paying an interest rate of 7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 13 years?
Answer:
$21,860
Step-by-step explanation:
The amount after 3 years will be $ 21,206.6
To understand more, check below explanation.
Compound interest:If the amount P is invested at the rate of r% for n years.
Then amount after n years is computed as;
Given that, Principal = $8,800 , r = 7% and n = 13 years.
\(A=P(1+\frac{r}{100} )^{n}\\ \\A=8800(1+\frac{7}{100} )^{13} \\\\A=8,800*(\frac{107}{100} )^{13}\\ \\A=\$ 21206.6\)
Hence, the amount after 13 years will be $ 21,206.6
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