Answer:
30 miles is the actual distance.
Step-by-step explanation:
3 3/4 = 15/4
15*2=30
Which of the binomials below is a factor of this trinomial? x2+12x+31
A. x+4 B.x-2 C. x+2 D. x-4
(x+4) is a factor of this trinomial given , Option A is the right answer.
What is a Factor ?A factor is a number o expression that completely divides the number or the expression and the remainder is equal to zero.
The given trinomial is
x² +12x+32
x² + 8x +4x +32
x(x+8)+4 (x+8)
(x+8)(x+4)
From the given option Option A (x+4) is the right answer.
To know more about Factor.
https://brainly.com/question/24182713
#SPJ1
The measure of each anterior angle of a regular decagon is
Answer:
The measure of each interior angle of a regular decagon is 144 degrees.
Step-by-step explanation:
The measure of the interior angles of a decagon is 1440, due to the formula being (n-2)(180). Since a decagon is a ten sided shape, it would be (10-2)(180).
8 x 180= 1440.
Next, we divide the total by the number of the sides the polygon has—ten. 1440 divided by 10 is 144, so the measure of each interior angle is 144 degrees.
if AB= 51, and AC = 120. find BC.
A
B
C
Answer:
Step-by-step explanation:
AB = 51
AC = 120
BC = AC - AB
BC = 120-51
BC = 69 units
What’s the answer here? Answer ASAP please.
Answer:
6
Step-by-step explanation:
f(6) is the y-value when x = 6
From inspection of the graph, f(6) = -6
g(5) is the y-value when x = 5
From inspection of the graph, g(5) = -5
Substitute the found values into the given equation:
4 · f(6) - 6 · g(5)
= 4 · (-6) - 6 · (-5)
= -24 - (-30)
= -24 + 30
= 6
Use the fraction model to multiply: three multiplied by five sevenths. Leave your answer as an improper fraction. (1 point)
three fraction models, each model is partitioned into seven equal parts, with five parts shaded in each model
eight sevenths
eight tenths
fifteen twenty ones
fifteen sevenths
The product of three and five-sevenths is given by (D) Fifteen sevenths.
In fraction multiplication, we multiply the corresponding position like we multiply numerator with numerator and denominator with another denominator.
The denominator for a whole number is always 1.
Here given the numbers are three and five-sevenths, that is [tex]3,\frac{5}{7}[/tex].
So here since 3 is a whole number then the denominator of it is 1.
We can write 3 as [tex]\frac{3}{1}[/tex].
So product [tex]=\frac{5}{7}\times\frac{3}{1}=\frac{5\times3}{7\times1}=\frac{15}{7}[/tex]
Using the fraction model we get,
Here we can see that there are three bars with seven divisions in which fives are shaded.
So in multiplication with three we have to take the shaded region as the numerator and have to all the shaded and total bar for once.
here a total number of divisions in one bar is 7, so the denominator of the product is 7.
A total number of shaded divisions is 15, so the numerator of the product is 15.
So the product is [tex]\frac{15}{7}[/tex], that is fifteen sevenths.
Hence the correct option is (D) Fifteen sevenths.
Learn more about Fraction here -
https://brainly.com/question/1622425
#SPJ10
Tutorial C
A 3-yard roll of aluminum foil costs $4.14. What is the price per
foot?
Answer:
$.46 or 46 cents per foot
Step-by-step explanation:
3 yards = 4.14
1 yard is 3 feet
3 yards is 9 feet
4.14 ÷ 9 = .46
Round to the nearest hundredth
48.849
A bag contains 4 red, 7 blue and 5 yellow marbles. Event A is defined as drawing a yellow marble on the first draw and event B is defined as drawing a blue marble on the second draw.
If two marbles are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form?
A. 7/16
B. 7/15
C. 14/16
D. 14/15
Answer:
The answer is B. 7/15!!!
i just guessed and got it right, but i knew c. wasnt the answer.
Line A and Line B are perpendicular. The slope of line A is -0.5. What is
the gradient of line B? Give reasons.
Answer:
Step-by-step explanation:
When 2 lines are perpendicular, their slopes are negative reciprocals of one another. Here, if the slope of A is -1/2, the slope of B is +2/1, or just 2.
Determine the measure of angle BFE 1 ) 69 degrees 2 ) 112 degrees 3 ) 11 degrees 4 ) 224 degrees
Answer:
option 2
Step-by-step explanation:
the chord- chord angle BFE is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
∠ BFE = [tex]\frac{1}{2}[/tex] ( BE + DC) = [tex]\frac{1}{2}[/tex] (72 + 152)° = [tex]\frac{1}{2}[/tex] × 224° = 112°
What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?
The measure of apothem is 1.75 cm.
The complete question is
The area of the regular octagon is 10.15 cm2.
What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?
What is an Octagon ?A polygon with eight sides , eight angles and eight vertices is called an octagon.
If a is the Side of the octagon.
10.15 = 2(1+√2) a²
a² = 10.15 / [2×(1+1.414)]
a² = 2.10
a = 1.45 cm
Therefore the side = 1.45 cm
A = 8 × (a × h)/2
If we consider 8 equilateral triangles with
a = face of octagon
h = Apothem of octagon
10.15 = 8 × (1.45 × h)/2
h = 10.15 /4/ 1.45
h = 1.75 cm
Therefore the measure of apothem is 1.75 cm.
To know more about Octagon
https://brainly.com/question/16543440
#SPJ1
Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x)=2^x-5
A function assigns the values. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The complete question is:
Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x) = 2^(x-5)
As x approaches negative infinity, h(r) approaches negative infinity.
As x approaches positive infinity, h(t) approaches 0.
As x approaches positive Infinity, h(t) approaches positive infinity.
As x approaches negative infinity, h(a) approaches positive infinity.
The graph of the function is given below, as it can be observed that as x approaches positive Infinity, h(t) approaches positive infinity.
Hence, the correct option is C.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ1
Use the drawing tools to form the correct answer on the graph. Graph the line that represents this equation: y=-5x+2
An equation is formed of two equal expressions. The graph for the given situation can be drawn as shown below.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The graph for the given equation y=-5x+2 can be drawn as shown below.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
What is the value of the expression (-5)-³?
1. Apply the negative exponents rule:
2. Expand the power:
3. Simplify:
What is the value of x?
X=
1
(-5)³
1
(-5)(-5)(-5)
XII
Answer:
-125 is the correct answer
Answer:
x = -125
Explanation:
[tex]\Longrightarrow \dfrac{1}{x} = (-5)^{-3}[/tex]
Apply the negative exponent rule: a⁻ᵇ = 1/aᵇ
[tex]\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)^3}[/tex]
Expand the power:
[tex]\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)\left(-5\right)\left(-5\right)}[/tex]
Simplify the following:
[tex]\Longrightarrow \dfrac{1}{x} =- \dfrac{1}{\left125}[/tex]
Flip the following:
[tex]\Longrightarrow x = -125[/tex]
Angela is an electrical engineer who is testing the voltage of a circuit given a certain current and resistance. she uses the following formula to calculate voltage:
the circuit she tests has a current of 3 + j 4 amps and a resistance of 4 - j 6 ohms.
what is the voltage of the circuit?
The Voltage of the given Circuit is gotten as; V = 36 - 2j Volts
How to multiply Vectors?We are given;
Current; I = 3 + 4j amps
Resistance; R = 4 - 6j ohms
From ohms law, we know that;
V = IR
Thus;
V = (3 + 4j) * (4 - 6j)
V = 12 + 16j - 18j - 24j²
Now, in vector notation; j² = -1. Thus;
V = 12 - 2j + 24
V = 36 - 2j Volts
Read more about Vector Multiplication at; https://brainly.com/question/3184914
#SPJ1
If the degree of a polynomial function is even and the leading coefficient is negative, then the end behavior of the function is?
Answer:
Its the last option.
Step-by-step explanation:
The function will rise from the left and descend to the right.
f(x) ---> -∝ as x ---> -∝ and f(x) ---> -∝ as x ---> ∝
A state offers specialty license plates that contain 5 numbers followed by 2 letters. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.
The number of possible license plates that can be issued using this system is 67600000.
What is Combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.
Here, number plate contains 5 numbers and 2 letters
Total possible number (0-9) = 10
Total possible letters (A-Z) = 26
Possible number plates which contains 5 numbers and 2 letters are
¹⁰C₁ X ¹⁰C₁ X ¹⁰C₁ X ¹⁰C₁ X ¹⁰C₁ X ²⁶C₁ X ²⁶C₁
10 X 10 X 10 X 10 X 10 X 26 X 26
10⁵ X 26²
676 X 10⁵
67600000
Thus, the number of possible license plates that can be issued using this system is 67600000.
Learn more about Combinations from:
https://brainly.com/question/19692242
#SPJ1
)If 18th February, 2030 falls on Monday then what will be the day on 18th February, 2040
Who ever answers this quickly with explanation I will make then brainliest
The Saturday will be the day on 18th February 2040 if 18th February 2030 falls on Monday
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
18th February 2030 falls on Monday
To find what will be the day on 18th February 2040
Calculate the expression:
= Given date + Month code + (difference between years) + Numbe of leap year
Leap year = difference between years/4
= (2040-2030)/4
= 10/4 = 2.5 ≈2
= 18 + 3 + (2040-2030) + 2
= 33
Divide 33 by 7 the remainder will be 5
Day code = given day code + remainder
= 1 + 5
= 6 (saturday from the table attahced)
Thus, Saturday will be the day on 18th February 2040 if 18th February 2030 falls on Monday.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ1
if a/b and c/d are rational expressions, then: a/b / c/d = a*b/c*d
if a/b and c/d are rational expressions,a/b / c/d = a*b/c*d is false.
What is the definition of a fraction number?A fraction number is a number that represents a portion of a larger number, where the larger number might be any integer. It has the shape of a numerator and a denominator.
The given rational expression is;
a/b and c/d
Given relation;
[tex]\rm \frac{\frac{a}{b}}{\frac{c}{d}}\\\\ \frac{a d}{bc}[/tex]
When two fractions are divided the number got reversed and multiplied by the fraction.
Hence the given calculation is false.
To learn more about fraction numbers, refer to https://brainly.com/question/8602593.
#SPJ1
Answer: false
Step-by-step explanation: .
Which shape(s) have 2 or more lines of symmetry?
Answer:
D is the answer for you.
Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem:
171 divided by 3.8
Jacob started by multiplying the divisor and the dividend by 10. This is the new problem:
1710 divided by 38
Use long division to find the quotient.
0.45
4.5
45
450
The answer is 45
------------------------------------------------------------
which wifi standards use the 2.4ghz frequency
The standards that use 2.4 GHz are:
IEEE 802.11bIEEE 802.11gIEEE 802.11n (it uses both 2.4 GHz and 5 GHz)IEEE 802.11ax (it uses both 2.4 GHz and 5 GHz)What is a wifi standard?
A wifi standard defines two characteristics of the wi-fi network, which are speed and frequency.
Such that there are two common frequencies, 2.4 GHz (usually with larger speed) and 5 GHz (usually with lower speed)
The standards that use 2.4 GHz are:
IEEE 802.11bIEEE 802.11gIEEE 802.11n (it uses both 2.4 GHz and 5 GHz)IEEE 802.11ax (it uses both 2.4 GHz and 5 GHz)If you want to learn more about wifi:
https://brainly.com/question/6947486
#SPJ11
the number of sides of regular polygon if the measure of its interior angle is 150 degree
Answer:
12 sides
Explanation:
[tex]\sf interior \ angle = \dfrac{(n-2) \times 180}{n} \quad (where \ n \ denotes\ number \ of \ sides)[/tex]
Solving Steps:
[tex]\sf \dfrac{(n-2) \times 180}{n} = 150[/tex]
[tex]\sf (n-2) \times 180} = 150n[/tex]
[tex]\sf 180n-360 = 150n[/tex]
[tex]\sf 180n-150n = 360[/tex]
[tex]\sf 30n = 360[/tex]
[tex]\sf n = 12[/tex]
The probability of a drawing a blue marble from a box of 18 marbles is 2/3. How many green marbles should be added to the box in order to reduce the probability to 1/2?
Answer:
6 green marbles should be added.
Step-by-step explanation:
If the probability of drawing a blue marble from 18 marbles is 2/3 then there are 12 blue marbles because 18 times 2/3 is 12. This means that to reduce this probability to 1/2 you need to add 6 more marbles to the total amount to get it to 24. Now the probability of getting a blue marble is 12/24 which is 1/2.
What is the solution set of -|-x| = -12?
O no solution
O {-12}
O {12}
O {-12, 12}
Answer:
12 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
[tex] - | - x| = - 12 \\ - x = - 12 \\ x = 12 \: \: \: or \: \: \: x = - 12 \\ [/tex]
Solution :{-12,12} so it's D
Please give brainliest
(X^2-16)/(x^2)-x-12
I know the answer is x+4/x+3
but i don't understand how x^2 -x - 12 simplifies into (x+3) (x-4)
What is the range of the function y=-x² +1?
Oys-1
Oy2-1
Oyst
y21
The range of the function is
[tex]y \leqslant 1[/tex]
Find the area of triangle DFG.
A. 5.3 square units
B. 34.3 square units
C. 420.0 square units
D. 424.2 square units
Answer:
34.3 square unit.
Step-by-step explanation:
[tex]calculate \: df \: using \: pythagoras \\ theorem \\ df {}^{2} = 8 {}^{2} + 6 {}^{2} \\ df {}^{2} = 64 + 36 \\ df {}^{2} = 100 \\ df = \sqrt{100} \\ df = 10 \\ calculating \: for \: the \: area \: of \: \\ angle \: \: dfg \\ using \: heros \: formular \\ \\ area = \sqrt{s(s - a)(s - b)(s - c)} \\ s = \frac{a + b + c}{2} \\ s = \frac{10 + 11 + 7}{2} = \frac{28}{2} = 14 \\ area = \sqrt{14(14 - 10)(14 - 11)14(14 - 7)} \\ area = \sqrt{14(4)(3)(7)} = \sqrt{14 \times 84} \\ area = \sqrt{1176} = 34.2928564 \\ to \: the \: nearest \: tenth \: = 34.3[/tex]
Here it is stated that, side DE = 8 units, side EF = 6 units, side FG = 7 units and side GD = 11 units. We have to find area of ∆DFG, here we will use heron's formula which is given by:
Area of ∆ = √[s(s – a) (s – b) (s – c)]
Here a, b, and c are sides of ∆. We have;
b = FG = 7 unitsc = GD = 11 unitsa = DF = ?s = semi - perimeter = ?So firstly lets calculate a i.e DF by using Pythagoras theorem on ∆DEF:
➸ DF² = 8² + 6²
➸ DF² = (8 × 8) + (6 × 6)
➸ DF² = 64 + 36
➸ DF² = 100
➸ DF = √(100)
➸ DF = √(10 × 10)
➸ DF = 10 units
Now, lets calculate s i.e semi - perimeter:
s = (a + b + c)/2s = (10 + 7 + 11)/2s = 28/2s = 14 unitsNow, using heron's formula on ∆DFG to calculate its area:
➸ Area(∆DFG) = √[14(14 – 10) (14 – 7) (14 – 11)]
➸ Area(∆DFG) = √[14(4) (7) (3)
➸ Area(∆DFG) = √(14 × 4 × 7 × 3)
We can write it as;
➸ Area(∆DFG) = √(2 × 2 × 2 × 7 × 7 × 3)
➸ Area(∆DFG) = 2 × 7√(2 × 3)
➸ Area(∆DFG) = 14√(6)
➸ Area(∆DFG) = 14 × 2.449
➸ Area(∆DFG) = 34.28
➸ Area(∆DFG) = 34.3 square units (approx)
Hence, area of ∆DFG is option B. 34.3 square units.A school has 320 girls and 250 boys the probity that a girl is left handed 0.2 the probity that a boy is left handed is 0.1 estimate the number of left handed students
Probability helps us to know the chances of an event occurring. The estimated number of left-handed persons in the school is 89.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the number of girls is 320, the probability that a girl is left-handed is 0.2. Therefore, the number of girls who are left-handed is,
Number of left-handed girls = (320×0.2) = 64
Given the number of boys is 250, the probability that a boy is left-handed is 0.1. Therefore, the number of boys who are left-handed is,
Number of left-handed boys= (250×0.1) = 25
Hence, the estimated number of left-handed persons in the school is 89.
Learn more about Probability:
https://brainly.com/question/795909
#SPJ1
work out the size of angle x
Answer:
x =83
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
x+43 = 126
Subtract 43 from each side
x = 126 -43
x =83
Let's take this problem step by step:
For the angle adjacent to the exterior angle of 126°:
⇒ exterior angle plus the that angle is equal to 180 degrees
⇒ since it is on a straight line
[tex]126 + that_.angle=180\\\rm \hookrightarrow that.angle=180-126\\\rm \hookrightarrow that.angle=54[/tex]
The sum of all the angles in a triangle is: 180°
[tex]that.angle+43+x=180\\\rm \hookrightarrow 54+43+x=180\\\rm \hookrightarrow 97+x=180\\\rm \hookrightarrowx=83[/tex]
The size of angle x is 83°
Answer: 83°
Hope that helps!
#LearnwithBrainly
