Answer:
1.138789 is equivalent to 8 to the second power to the -4 power.
Hope this helps :)
I can't find the answer for 46.3 divided by 1.5 Help!
The solution to the problem when [tex]46.3[/tex] divided by [tex]1.5[/tex] the result of the division is [tex]30.8666667[/tex] in decimal form.
When a large number is distributed into small numbers of equal parts is called division.
The number [tex]1.5[/tex] is not a factor of [tex]46.3[/tex] , on dividing them the remainder is not zero.
Therefore, first convert [tex]1.5[/tex] it into a whole number by multiplying it [tex]10[/tex] so it becomes [tex]15[/tex] .
Then convert [tex]46.3[/tex] it into a whole number by multiplying it by [tex]10[/tex] so it becomes [tex]463[/tex]
Here, [tex]\dfrac{463 \times 10}{15 \times 10}[/tex] which results in [tex]\dfrac{463}{15}[/tex].
Now, divide [tex]\dfrac{463}{15}[/tex] , the result will be [tex]30.8666667[/tex].
The solution to the problem when [tex]46.3[/tex] divided by [tex]1.5[/tex] the result is [tex]30.8666667[/tex].
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Which is true regarding the system of equations?
6 x + 2 y = 46. 3 x + y = 23.
The system results in a false statement.
The system results in an intersection at one point.
The system results in parallel lines.
The system results in a true statement because they are the same line.
Answer:
they are the same line
Step-by-step explanation:
if you divide the first line by 2 you'll get:
2(3x)+2y=2(23)===> 3x+y=23
The graph of f(x) = x3 + x2 – 9x – 9 is shown.
Based on the graph, what are the solutions of x3 + x2 – 9x – 9 = 0?
x = –1, 3
x = –3, –1
x = –3, –1, 3
x = –9, –3, –1, 3
Answer:
the third option, x = –3, –1, 3
Step-by-step explanation:
please help I've been trying to figure it out but I can't
answer : 2 1/2
divide y by x
divide 2 1/2 by 1
its 2 1/2
10 divided by 4 is also
2 1/2
17 1/2 divided by 7 is also
2 1/2
first prime factor....
Answer:
The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.
Please help Need answer Urgently.
Elena cuts out a rectangle that has a perimeter of 156 inches and a length of 56 inches. She cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new ractangle?
answer: 200, 2 hundred, two hundred
find p + q
someone pls help
Answer:
70
Step-by-step explanation:
45+90=135
180-45=45
q=45
45+65=110
180-110=70
70-45=25
p=25
45+25=70
Answer: 70°
Step-by-step explanation:
We know that the sum of all 3 angles in a triangle is 180°. Hence, we can just set all measures to be equal to 180° and solve for the variables.
Left Triangle[tex]p+65+90=180\\p+155=180\\p=25[/tex]
Right Triangle[tex]45+90+q=180\\135+q=180\\q=45[/tex]
Sum[tex]p+q=25+45=70[/tex]
The sum of p and q is 70°.
Two friends board an airliner just before departure time. There are only 11 seats left, 4 of which are aisle seats. How many ways can the 2 people arrange themselves in available seats so that at least one of them sits on the aisle?
The 2 people can arrange themselves in blank ways?
Using the Fundamental Counting Theorem, it is found that:
The 2 people can arrange themselves in 40 ways.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
With one people in the aisle and one in the normal seats, the parameters are:
n1 = 4, n2 = 7
With both in the aisle, the parameters is:
n1 = 4, n2 = 3
Hence the number of ways is:
N = 4 x 7 + 4 x 3 = 28 + 12 = 40.
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I NEED THIS REALLY FAST!!!a brave knight traveled on his horse from one kingdom to another in 2 days the first day he rode at a speed of 10 mph and the second day he rode at a speed of 8 mph if he traveled exactly the same amount of time each day and went 180 miles find how many hors it took the knight to travel from one kingdom to another
Answer:
10 hours
Step-by-step explanation:
The rate x time of the first day + the rate x time of the second day equal the distance of 180 miles.
Let t = time
10t + 8t = 180
18t = 180
t = 10
f(x)=2^x. What is g(x)?
The function g(x) is g(x)= (3x)^2
How to solve for g(x)?The complete question is in the image
From the graph in the image, we have:
f(x) = x^2
The function f(x) is stretched by a factor of 3 to form g(x).
This means that:
g(x) = f(3x)
So, we have:
g(x)= (3x)^2
Hence, the function g(x) is g(x)= (3x)^2
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Which logarithmic equation is equivalent to 82 = 64?
2 = log Subscript 6 Baseline 64
2 = log Subscript 64 Baseline 8
8 = log Subscript 2 Baseline 64
64 = log Subscript 2 Baseline 8
Answer: Choice B
[tex]2 = \log_{8}(64)[/tex]
======================================================
Explanation:
The original equation is [tex]8^2 = 64[/tex] with 8 as the base. That is also the base of the log when we get the final answer shown above. Logs are useful to isolate the exponent.
The general rule is that [tex]\text{y} = b^{\text{x}}[/tex] is equivalent to the log form of [tex]\text{x} = \log_{b}(\text{y})[/tex] where b is the base of each.
2 = log Subscript 64 Baseline 8 is the logarithmic equation which is equivalent to 82 = 64.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.
The logarithmic equation equivalent to 82 = 64 is:
2 = log Subscript 64 Baseline 8
This is because the logarithmic equation relates the base (64) to the result of the exponentiation (8), which in this case is 2.
Hence, 2 = log Subscript 64 Baseline 8 is the logarithmic equation which is equivalent to 82 = 64.
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A recent tax bill proposed raising the income-tax rate on families earning at least $200,000 a year by 25%, to 25%. What was the previous tax rate ?
The previous tax rate was 20%
What is tax rate?
Tax rate is the percentage of the earnings tax payers would pay to the government from their earnings as taxes.
It should be borne in mind that the new tax rate is 25% which has increased by 25% compared to the previous tax rate, which is the unknown.
The mathematical relationship between the current and prior tax rates is as shown below:
Current tax rate=previous tax rate*(1+% increase in tax rate)
Current tax rate=25%
previous tax rate=X
% increase in tax rate=25%
25%=X*(1+25%)
25%=X*1.25
X=25%/1.25
X=previous tax rate=20%
Technically speaking, an increase of 25% in 20% is 5%(i.e. 20%*25%=5%), which when added to the original 20% would give a tax rate of 25%.That the shortcut to affirming that the new tax rate of 25% is correct
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Polygon ABCD is rotated 90º counterclockwise about the origin to create polygon A′B′C′D′. Match each set of coordinates to the vertices of polygon A′B′C′D′. (-1, 3)
B′
(-2, 2)
C′
(-2, 1)
D′
(-1, 1)
Answer:Rules for rotating points about the origin
1. The point (a,b) rotated 90° counterclockwise about the origin
becomes (-b,a).
A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)
A (a,b)-----------------A′ (-b,a)=(-1, 3)----------->A( 3,1)
B (a,b)-----------------B′ (-b,a)=(-2, 2)----------->B( 2,2)
C (a,b)-----------------C′ (-b,a)=(-2, 1)----------->C( 1,2)
D (a,b)-----------------D′ (-b,a)=(-1, 1)----------->D( 1,1)
Step-by-step explanation:
Question
The epicenter of an earthquake is the point on Earth's surface directly above the earthquake's origin. A seismograph can be used to determine the distance to the epicenter of an earthquake. Seismographs are needed in three different places to locate an earthquake's epicenter. Find the location of the earthquake's epicenter if it is 2 miles away from A(−2,5), 4 miles away from B(2,3), and 7 miles away from C(−2,−4).
Answer:
The epicenter is ( - 2, 3)Step-by-step explanation:
Let the epicenter be E(x, y).
Use the distance formula for each given distance:
AE² = (x + 2)² + (y - 5)² = 2²BE² = (x - 2)² + (y - 3)² = 4²CE² = (x + 2)² + (y + 4)² = 7²Use the first and third equations, considering both have same term for x, and solve for y:
(y - 5)² - 4 = (y + 4)² - 49y² - 10y + 25 - 4 = y² + 8y + 16 - 4918y = 54y = 3Substitute y into one of equations and solve for x:
(x + 2)² + (3 - 5)² = 4(x + 2)² + 4 = 4(x + 2)² = 0x + 2 = 0x = - 2The epicenter is E( - 2, 3)
Answer:
(-2, 3)
Step-by-step explanation:
Given:
A = (-2, 5) → 2 miles awayB = (2, 3) → 4 miles awayC = (-2, -4) → 7 miles awayModel each given point as the center of a circle and the distance the epicenter is away from the point as the circle's radius.
The epicenter's location will be the point of intersection of the three circles.
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where (a, b) is the center and r is the radius
Circle A
center = (-2, 5)radius = 2 miles[tex]\implies (x+2)^2+(y-5)^2=4[/tex]
[tex]\implies x^2+4x+4+y^2-10y+25=4[/tex]
[tex]\implies x^2+4x+y^2-10y+25=0[/tex]
Circle B
center = (2, 3)radius = 4 miles[tex]\implies (x-2)^2+(y-3)^2=16[/tex]
[tex]\implies x^2-4x+4+y^2-6y+9=16[/tex]
[tex]\implies x^2-4x+y^2-6y-3=0[/tex]
Circle C
center = (-2, -4)radius = 7 miles[tex]\implies (x+2)^2+(y+4)^2=49[/tex]
[tex]\implies x^2+4x+4+y^2+8y+16=49[/tex]
[tex]\implies x^2+4x+y^2+8y-29=0[/tex]
To find the point of intersection of the three circles, solve simultaneously.
Substitute equation B into equation A to eliminate x² and y²:
[tex]\implies x^2-4x+y^2-6y-3=x^2+4x+y^2-10y+25[/tex]
[tex]\implies -4x-6y-3=4x-10y+25[/tex]
Rearrange to isolate y:
[tex]\implies -6y-3=8x-10y+25[/tex]
[tex]\implies 4y-3=8x+25[/tex]
[tex]\implies 4y=8x+28[/tex]
[tex]\implies y=2x+7[/tex]
Substitute the expression for y into equation C and simplify:
[tex]\implies x^2+4x+(2x+7)^2+8(2x+7)-29=0[/tex]
[tex]\implies x^2+4x+4x^2+28x+49+16x+56-29=0[/tex]
[tex]\implies 5x^2+48x+76=0[/tex]
Substitute the expression for y into equation B and simplify:
[tex]\implies x^2-4x+(2x+7)^2-6(2x+7)-3=0[/tex]
[tex]\implies x^2-4x+4x^2+28x+49-12x-42-3=0[/tex]
[tex]\implies 5x^2+12x+4=0[/tex]
Equate the equations to eliminate 5x² and solve for x:
[tex]\implies 5x^2+48x+76=5x^2+12x+4[/tex]
[tex]\implies 48x+76=12x+4[/tex]
[tex]\implies 36x+76=4[/tex]
[tex]\implies 36x=-72[/tex]
[tex]\implies x=-2[/tex]
Substitute the found value of x into the found expression for y:
[tex]\implies y=2(-2)+7[/tex]
[tex]\implies y=-4+7[/tex]
[tex]\implies y=3[/tex]
Therefore, the point of intersection of the three circles if (-2, 3) and hence the location of the earthquake's epicenter is (-2, 3).
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Please answer the questions below.
The volumes of the right prisms are listed below:
1 / 9 ft³39 / 512 in³7 / 384 cm³1 / 12 cm³3 / 25 m³3 / 8 yd³What is the volume of the prisms?In this problem we have six cases of right prisms with rectangular bases, the volume of right prisms (V), in cubic length units, is equal to the product of the area of the base (A), in square length units, and the height (h), in length units. The equation of the volume of the right prism is shown below:
V = w · l · h (1)
Where:
w - Width of the base, in length units.l - Length of the base, in length units.h - Height of the prism, in length units.Now we proceed to calculate each volume:
Prism 1 (w = 2 / 3 ft, l = 1 / 3 ft, h = 1 / 2 ft)
V = (2 / 3 ft) · (1 / 3 ft) · (1 / 2 ft)
V = 1 / 9 ft³
Prism 2 (w = 1 / 8 in, l = 3 / 4 in, h = 13 / 16 in)
V = (1 / 8 in) · (3 / 4 in) · (13 / 16 in)
V = 39 / 512 in ³
Prism 3 (w = 7 / 8 cm, l = 1 / 4 cm, h = 1 / 12 cm)
V = (7 / 8 cm) · (1 / 4 cm) · (1 / 12 cm)
V = 7 / 384 cm³
Prism 4 (w = 1 / 7 cm, l = 7 / 8 cm, h = 2 / 3 cm)
V = (1 / 7 cm) · (7 / 8 cm) · (2 / 3 cm)
V = 1 / 12 cm³
Prism 5 (w = 9 / 10 m, l = 2 / 3 m, h = 1 / 5 m)
V = (9 / 10 m) · (2 / 3 m) · (1 / 5 m)
V = 3 / 25 m³
Prism 6 (w = 7 / 8 yd, l = 6 / 7 yd, h = 1 / 2 yd)
V = (7 / 8 yd) · (6 / 7 yd) · (1 / 2 yd)
V = 3 / 8 yd³
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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-14x^2+1035x-10266
The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13
Quadratic equationy = -14x² + 1035x - 10266
solve the quadratic equation-14x² + 1035x - 10266 = 0
x = -b ± √b² - 4ac / 2a
= -1035 ± √1035² -4(-14)(-10266) / 2(-14)
= -1035 ± √1071225 - 574896 / -28
= -1035 ± √496329 / -28
x = 1035 / 28 ± √496329 / 28
x = 11.80 or 62.13
The maximum value of x is 62.13
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A nine year old girl did a science fair experiment in which she tested professional touch therapist to see if they could sense her energy field she flipped a coin to select either her right hand or her left hand and then she asked the therapist to identify the selected hand by placing their hand just under her hand without seeing it and without touching it among 285 trials the touch therapist were correct 116 times use a 0.01 significance level to test the claim that touch therapist use a message equivalent to random guesses to the results suggest that touch therapists are effective
The test statistic based on the probability illustrated is -3.22.
How to illustrate the probability?Based on the information, the test statistic will be:
= (0.4 - 0.5)/[✓0.5(1 - 0.5)/260]
= -3.22
The p value using the distribution table is 0.0012.
The conclusion is to reject the null hypothesis as there's sufficient evidence to warrant rejection.
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just need b1 and b2
brainliest to whoever answers
50 points
Step-by-step explanation:
b1) Any line parallel to the x-axis is horizontal. If we look at the graph of a horizontal line, we see that for any x-value you give, the y-value will be the same. In this case, the y-value is -1. Hence, the equation for the line is [tex]y=-1[/tex], as y will be -1 no matter the x.
The gradient for a horizontal line is 0, as the "rise" of the function is 0. If we use the formula [tex]\frac{rise}{run}[/tex], we would have 0 on the top, which makes the whole fraction 0.
b2) Any line parallel to the y-axis is vertical. If we look at the graph of a vertical line, we see that for any y-value, the x-value will be the same. In this case, the x-value is -1. Hence, the equation for the line is [tex]x=-1[/tex], as x will be -1 no matter the y.
The gradient for a vertical line is undefined, as the "run" of the function is 0. If we use the formula [tex]\frac{rise}{run}[/tex], we would be dividing by 0, which is undefined.
Solve the following system of equations algebraically:
y=x^2-x-22
y=x-7
The solution of the equations y=[tex]x^{2}[/tex]-x-22 and y=x-7 is that x=-3,5 and y=-10,-2.
Given equations y=[tex]x^{2} -x-22[/tex], y=x-7.
We are required to solve these equations for the value of x and y.
Equation is relationship between two or more variables expressed in equal to form.Equations of two variables look like ax+by=c.It may be a linear equation, quadratic equation and cubic equations.
The given equations are:
y=[tex]x^{2}[/tex]-x-22-----------1
y=x-7----------------2
Put the value of y from second equation in first equation.
x-7=[tex]x^{2}[/tex]-x-22
Solving
[tex]x^{2}[/tex]-x-x-22+7=0
[tex]x^{2}[/tex]-2x-15=0
[tex]x^{2}[/tex]-5x+3x-15=0
x(x-5)+3(x-5)=0
(x+3)(x-5)=0
x=-3,5
Put the values of x=-3 and 5 one by one to get the two values of y in second equation.
y=x-7
x=-3
y=-3-7
=-10
x=5
y=5-7
=-2
Values of y are -10 and -2.
Hence the values of x are-3 and 5 and values of y are -10,-2.
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Identify the vertices of the feasible region and use them to find the maximum and/or minimum value for the given linear programming constraints.
System of Linear Programming:
z=−3x+5y
x+y≥−2
3x−y≤2
x−y≥−4
Maximum value of z:
Minimum value of z
The maximum value of the objective function is 26 and the minimum is -10
How to determine the maximum and the minimum values?The objective function is given as:
z=−3x+5y
The constraints are
x+y≥−2
3x−y≤2
x−y≥−4
Start by plotting the constraints on a graph (see attachment)
From the attached graph, the vertices of the feasible region are
(3, 7), (0, -2), (-3, 1)
Substitute these values in the objective function
So, we have
z= −3 * 3 + 5 * 7 = 26
z= −3 * 0 + 5 * -2 = -10
z= −3 * -3 + 5 * 1 =14
Using the above values, we have:
The maximum value of the objective function is 26 and the minimum is -10
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Please help ASAP
What of the secants below is a secant?
The secant in the diagram is [tex]\overline{AD}[/tex]
Segment AD intersect the circle at two points. So it can be a secant.
We have been given that a circle of center O. We have to find the segment that is secant.
What is Secant?Secant : If a line which intersect the circle at two points.Then the line segment is called secant.
If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.
(line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed)
Segment OB intersect the circle at one point B only. so OB cannot be a Secant.
Segment AD intersect the circle at two points. So it can be a secant.
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i need help with number 70
The volume of the rectangular prism is of 28.6875 mm³.
What is the volume of a rectangular prism?
The volume of rectangular prism of length l, width w and height h is given by:
V = lwh.
For this problem, the dimensions are:
2(1/8)mm = 2 + 1/8 = 2.125 mm.6(3/4)mm = 6 + 3/4 = 6.75 mm.2 mm.Hence the volume is:
V = 2.125 x 6.75 x 2 = 28.6875 mm³.
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a In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
A. 0.26
B. 0.74
C. 0.12
D. 0.48
Answer:
C. 0.12
Step-by-step explanation:
Let's use a sample number of 100
Out of 100 members, 50 are in the brass section
Out of those 50, 24% play the trombone. This means that 12 people total play the trombone.
12/100 is .12.. That is the final answer
To convert grams to kilograms, you can use the ratio
OA. True
B. False
1,000 grams
1 kilogrami
Answer:
A. True
Step-by-step explanation:
The ratio 1000 grams=1kilogram is correct.
Please help I’m unsure
Step-by-step explanation:
3 answer.....
......dkdkdk
Sometimes, terminology such as "the odds are 1 in 10" of an event is used. This is interpreted to mean "the probability of the event is 1/10" or "the odds in favor of the event are 1 to 9"
The odds that a member of a certain country's Senate (selected randomly) has a law degree is 1 in 1.4. What is the probability that a member of the Senate (selected randomly) has a law degree?
The probability is
Answer:
71.4% ( i think)
Step-by-step explanation:
If we translate 1 in 1.4 using what is described, it turns into (1/1.4)
Putting this into a calculator, we get 0.714286. Translated into a percent, that becomes 71.4286%
The probability that a member of the Senate (selected randomly) has a law degree is approximately 0.4167 or 41.67%.
When the odds are given as "1 in 1.4," it means that there is 1 chance of success (having a law degree) for every 1.4 chances of failure (not having a law degree).
To find the probability that a member of the Senate (selected randomly) has a law degree, you can use the formula:
Probability = 1 / (1 + Odds)
In this case, the odds are 1 in 1.4, so the probability is:
Probability = 1 / (1 + 1.4) ≈ 1 / 2.4 ≈ 0.4167
So, the probability that a member of the Senate (selected randomly) has a law degree is approximately 0.4167 or 41.67%.
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find the equation of the tangent line at the given point on the following curve.
x^2+y^2=8, (-2,-2)
Using derivatives, the equation of the tangent line is: y + 2= -(x + 2)
What is the equation to the tangent line of a function f(x) at point (x0, y0)?The equation is:
[tex]y - y_0 = m(x - x_0)[/tex]
In which m is the derivative at point [tex](x_0, y_0)[/tex].
The function is:
[tex]x^2 + y^2 = 8[/tex].
Applying implicit differentiation, the derivative is:
[tex]2x\frac{dx}{dx} + 2y\frac{dy}{dx} = 0[/tex]
[tex]2ym = -2x[/tex]
[tex]m = -\frac{x}{y}[/tex]
We have that x = y = -2, hence m = -1 and the equation is:
y + 2= -(x + 2)
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Which equation represents the vertical line passing through (5,-4)?
Answer:
x = 5
Step-by-step explanation:
Since the line is vertical,
the equation of the line then is x = (some value).
Since this particular line passes throught (5,-4), where the x coordinate is 5, we can deduce the equation of this line to be x = 5.
Express v=
(2,1,5) as a linear combination of (1,2,1), (1,0,2) and (1,1,0)
The expression of v = (2,1,5) as a linear combination of (1,2,1), (1,0,2) and (1,1,0) is [tex](2,1,5)=1(1,2,1)+2(1,0,2)+-1(1,1,0)[/tex]
Linear CombinationsTo express v= (2,1,5) as a linear combination of (1,2,1), (1,0,2) and (1,1,0), it will be written as:
[tex](2,1,5)=x(1,2,1)+y(1,0,2)+z(1,1,0)[/tex]
This will yield the following equations:
x + y + z = 2........(1)
2x + z = 1..........(2)
x + 2y = 5........(3)
The solution to the system of equations above is:
x = 1, y = 2, z = -1
Therefore, the linear combination is:
[tex](2,1,5)=1(1,2,1)+2(1,0,2)+-1(1,1,0)[/tex]
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