Answer: The correct answer is no solution.
The required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.
Let the two unknown numbers be x and y;
The smaller number is x
The larger number is y
If one number is twice the other number, hence;
y = 2x ................. 1
Also, if the difference of the smaller number and half the larger number is 20, then:
x - y/2 = 20 .................. 2
Substitute the equation 1 into 2 to have:
x - (2x/2) = 20
x - x = 20
Hence the required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.
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divide 1725 by 102 show work please
Answer:
16.91176471
Step-by-step explanation:
1725÷102
= 16.91176471
Identify the area of sector MOR in terms of π and rounded to the nearest hundredth.
Answer:
8.98π = 28.22 in^2.
Step-by-step explanation:
Area of the whole circle = πr^2 = 7^2 * π
= 49π
So the area of sector MOR
= (66/360) * 49π
= 8.98π = 28.22 in^2.
Select the correct answer.
The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x − 3).
Which statement describes how the graph of h is different from the graph of g?
A.
The graph of h is the graph of g vertically shifted up 3 units.
B.
The graph of h is the graph of g horizontally shifted right 3 units.
C.
The graph of h is the graph of g horizontally shifted left 3 units.
D.
The graph of h is the graph of g vertically shifted down 3 units.
Answer:
B
Step-by-step explanation:
Given g(x) then g(x + a) is a horizontal translation of g(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
h(x) = g(x - 3) = (x - 3)² with a < 0
The graph of h(x) is the graph of g(x) horizontally shifted right 3 units
A 10 gram sample of a substance that’s used to detect explosives has a k-value of 0.1356.Find the substances half life in days.Round your answer to the nearest tenth.
Answer:
t ≈ 5.1 days
Step-by-step explanation:
A 10 gram sample of a substance thats used to detect explosives has a k-value of 0.1356. Find the substances half-life in days. round your answer to the nearest tenth. N=N₀ e^-kt N₀= initial mass (at time t = 0) N = mass at time t k= a positive constant that depends on the substance itself and on the units used to measure time t=time in days
The initial condition is that, at time t = 0, the amount of substance contains originally 10 grams
Find the value of N₀
N=N₀ e^-kt
We substitute:
10 = N₀ {e^(-0.1356)*0}
10 = N₀ (e^0)
10=N₀(1)
10=N₀
N₀ = 10
When the substance is in half-life
That is, half of the original substance (5 grams)
Find t
N=N₀ e^-kt
5 = 10 e^(-0.1356*t)
0.5 = e^(-0.1356*t)
Bring down t by multiplying natural log on both sides
ln(0.5) = -0.1356*t
Divide both sides by -0.1356
t = -(ln(0.5) / 0.1356
t ≈ 5.11 days
To the nearest tenth
t ≈ 5.1 days
Answer:
5.1 days in Plato
Step-by-step explanation:
Find KL
IJ=9
JK=11
KL?
Answer:
KL = 6
Step-by-step explanation:
IL = 26
IJ = 9
JK = 11
KL = ?
To find KL
Let KL be x
IJ + JK + KL = IL
9 + 11 + x = 26
20 + x = 26
transpose to find KL that is x
x = 26 - 20
x = 6
therefore KL = 6
Answer:
KL = 6
Step-by-step explanation:
First step is to create an equation
Given: IL = 26
This means that the sum of the segments that make up IL also equal 26
In other words, IJ + JK + KL = 26 ( note that this is the equation that we will use to solve for the missing segment )
Given: IJ = 9 , JK = 11 and KL = ?
To find the length of the missing segment we simply plug in the known segment lengths into the equation we created and solve for the unknown one.
Equation created: IJ + JK + KL = 26
Variables: IJ = 9 , JK = 11 and KL = ?
Plug in variables into equation
9 + 11 + KL = 26
Now solve for KL
Step 1 Combine like terms ( 9 + 11 = 20 )
20 + KL = 26
Step 2 Subtract 20 from both sides
20 - 20 + KL = 26 - 20
KL = 6
And we are done!
QUESTION 2
Solve for X.
3x + 4 + 2 = 15
Answer:
x=3
Step-by-step explanation:
3x+6 =15
x=3
Answer:
3
Step-by-step explanation:
3x + 6 = 15
3x = 15 - 6 = 9
x = 9/3 = 3
If you apply the changes below to the absolute value parent function, 1(x) = 1X, what is the equation of the new function? Shift 8 units left. • Shift 3 units down. O A. g(x) = (x + 81 - 3 O B. g(x) B. g(x) = (x - 3| + 8 O c. g(x) = [X - 31- 8 D. g(x) = (x - 8 - 3
Answer:
A. g(x) = |x + 8| - 3Step-by-step explanation:
If the function is f(x), then shift 8 units left and 3 units down will result in:
g(x) = f(x + 8) - 3Apply to the given function to get:
g(x) = |x + 8| - 3Correct choice is A
Answer ASAP, will give brainliest!!
Answer:
Step-by-step explanation:
77; The formula to calculating the area of a trapezoid is (a+b)/2 * c. a+b are the 2 parallel lines, and c is the height or the altitude. So, it is (10+12)/2 * 7, which is 22/2 * 7 = 11*7=77 :)
Simplify the following leave the answer in radical notation:
Please explain!!
1. Square root of (125x^2y^7)
2. Cubed root of (24x^3y8)
Answer:
1- 5xy³√5y
2- 2xy²∛3y²
Step-by-step explanation:
√125x²y^7=
√25*5x²y^6y
5xy³√5y
2) ∛24x³y^8=
∛2³*3x³y^8=
2xy²∛3y²
Consider f(x) = 3x2 + 4 and g(x) = 2x − 3. Which statements about f + g are true? Select all that apply. A. The domain is all real numbers. B. The range is all real numbers. C. It is a linear function. D. It is a quadratic function.
PLEASE HELP
Answer:
B. The range is all real numbers. D. It is a quadratic function.Step-by-step explanation:
Given the functions f(x) = 3x² + 4 and g(x) = 2x − 3, to know that statements that is true about f+g, we will need to add the functions together first.
f(x)+g(x) = 3x² + 4 + 2x - 3
f(x)+g(x) = 3x²+2x +4 - 3
f(x)+g(x) = 3x²+2x + 1
The highest degree of a quadratic function is 2 and since the highest degree of the resulting function is 2, hence the resulting sum of the equations is quadratic.
Also the range of the values is all real numbers because the presence of x² in the function will always return a positive value greater than x.
Hence the correct statements are 'the range is all real numbers and it is a quadratic function'
Answer:
B AND D
Step-by-step explanation:
Triangle ABC with vertices A(-4, 2), B(4,7), and
C(5, 1) in the x-axis.
A’
B’
C’
D’
9514 1404 393
Answer:
A'(-4, -2), B'(4, -7), C'(5, -1)
Step-by-step explanation:
Reflection in the x-axis changes the sign of each y-coordinate.
(x, y) ⇒ (x, -y)
A(-4, 2) ⇒ A'(-4, -2)
B(4, 7) ⇒ B'(4, -7)
C(5, 1) ⇒ C'(5, -1)
Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 3150 . i. Sketch Musah's movement [Mark 4] ii. How far west is Musah's final point from the centre?
Answer:
Musah's final point from the centre = 60.355 steps
Step-by-step explanation:
From the given information:
Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°
The sketch for this information can be seen in the attached file below.
How far west is Musah's final point from the centre?
In order to determine how far west is Musah's,
Let d be the distance of how far;
Then d = QR + RS cos θ
In the North West direction,
cos θ = cos 45°
d = 25 + 50( cos 45°)
d = 25 + 50( [tex]\dfrac{1}{\sqrt{2}}[/tex] )
d = 25 + 50( 0.7071)
d =25 + 35.355
d = 60.355 steps
Musah's final point from the centre = 60.355 steps
I don’t understand how taxes and discounts work in math, could someone explain to me?
Some additional context would be helpful in providing a complete answer. But the basic idea is this:
• Object ABC has a price X set on it.
• Hey, ABC is on sale! Let's say there's a 20% discount. That means 20% of the price X is subtracted from X.
• Boo, there's a 15% sales tax! This means whatever you would pay for ABC, discount included, you will ultimately have to pay an additional 15% of, or 0.15 times, that amount in tax.
Suppose you're looking to buy a T-shirt. The price tag on says it costs $25, but there's a 20% discount and a 15% sales tax.
• The discount has a value of 0.2 ($25) = $5. Subtract this from the original price, and its discounted price is $20.
• The sales tax is applied to this discounted price, and comes out to 0.15 ($20) = $3. This gets added to the discounted price, so you end up paying $23.
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READ QUESTIONS CAREFULLY
Hello, quick question how do I order 7.2, 7.21, 7.083 to least to greatest? Thank you so much!
Step-by-step explanation:
7.083, 7.2,and 7.21
This should be the answer
please help asap if possible!!
Answer:
Does the answer help you?
Solve for y
8+3y=-17
Simplify your answer as much as possible.
What is the method called on #3
Answer:
an algorithm method just means a step by step procedure which in this case its means decimal subtraction in number 3.
Step-by-step explanation:
i hope this helps :)
I NEED THE ANSWER ASAP PLEASE HELP!!
The price of a stock went from $32 to $28. If p is the percent decrease in the value of the stock, which proportion can be used to compute p? A. B. C. D.
Answer: C
Step-by-step explanation:
Simplify the given expression below:
(1 + 3) + (2 - 5i)
Answer:
6 -5i
Step-by-step explanation:
(1 + 3) + (2 - 5i)
Combine like terms
1+3+2 -5i
6 -5i
How do l solve this HELP pls
As its a Quadrilateral
Using angle sum property
[tex]\\ \sf\longmapsto 15x-5+65+100+95=360[/tex]
[tex]\\ \sf\longmapsto 15x+60+195=360[/tex]
[tex]\\ \sf\longmapsto 15x+255=360[/tex]
[tex]\\ \sf\longmapsto 15x=360-255[/tex]
[tex]\\ \sf\longmapsto 15x=105[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{105}{15}[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
The angle sum property of a quadrilateral
The sum of angles of a quadrilateral is 360°⇛ ∠E + ∠F + ∠G + ∠H = 360°
Solution[tex]\bf{\pink{ \implies}} \: \tt \: 95 \degree \: + \: 100 \degree \: + \: 65 \degree \: + \: (15x - 5) \degree \: = \: 360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:260 \degree \: - \: 5 \: + \: 15x \: = \:360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:255 \degree \: + \: 15x \: = \: 360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:15x \: = \: 360 \degree \: - \: 255 \degree[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \:15x \: = \: 105 \degree[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \:x \: = \: \frac{ \cancel{105 \degree} \: \: ^{7 \degree} }{ \cancel{15}} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \bf \: \: x \: = \: 7 \degree[/tex]
Ohm's law states That the current That the current (I) In amps equals the voltage (E) In volts divided by the resistance (R) in ohms. If you connected a two megohm resistor (2 x 10 6 ohms) Across a 2.4 kilovolt Voltage source parentheses 2.4Times 10 to the third power volts) What would be the current in amps
Answer:
1.2 milli ampsStep-by-step explanation:
From ohms law the expression for voltage is given as
[tex]V= IR[/tex]
Now given that
Voltage, V= [tex]2.4*10^3[/tex] volts
Resistance R= [tex]2*10^6[/tex] ohms
Applying ohms law the current can be calculated by making I the subject of formula
that is I= V/R
[tex]I= \frac{2.4*10^3}{2*10^6} \\\\I= \frac{2.4}{2} *10^(^3^-^6^)\\\\I=1.2*10^-^3[/tex]
The current in amps is 1.2 milli amps
In the following diagram, {HI}
start overline, H, I, end overline is parallel to {JK}
start overline, J, K, end overline.
What is the measure of
Angles are not necessarily drawn to scale.
Sum of interiors =exterior angle
[tex]\\ \sf\longmapsto <I=56+66[/tex]
Add both[tex]\\ \sf\longmapsto <I=122[/tex]
Now
[tex]\\ \sf\longmapsto I+x=180[/tex]
[tex]\\ \sf\longmapsto x+122=180[/tex]
[tex]\\ \sf\longmapsto x=180-122[/tex]
[tex]\\ \sf\longmapsto x=58[/tex]
The measure of x° is 58° .
What are corresponding angles?The corresponding angles definition tells us that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
What is corresponding angles theorem?According to the corresponding angles theorem, the statement “If a line intersects two parallel lines, then the corresponding angles in the two intersection regions are congruent”
According to the question
In the triangle AHI
∠A = 66°
∠H = 56°
By using sum of angle of triangle = 180°
∠A + ∠H + ∠I = 180°
66° + 56° + ∠I = 180°
∠I = 180° - 122°
∠I = 58°
As , given HI is parallel to JK
Now,
According to the corresponding angles theorem
If a line intersects two parallel lines, then the corresponding angles in the two intersection regions are congruent .
Therefore,
∠I = ∠K = x°
i.e
x° = 58°
Hence, the measure of x° is 58° .
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What is the length of the leaf to the nearest fourth-inch?
inches
ayuda porfavor cuanto es h+3cm=? y cuanto es b+4cm=? y cual seria el resustado de las dos calculacion
GOOD MORNING,
HAVE A GREAT DAY AHEAD
Please help me with my work
Answer:
8*4+3*2
Step-by-step explanation:
Answer:
38. hope i'm right
Step-by-step explanation:
How to do this question plz answer me step by step plzz plz
Answer:
24.99 cm
Step-by-step explanation:
We are provided with the radius of the circle so we can use that to solve for the circumference(perimeter) of the circle. The formula to solve for the circumference is 2*pi*r.
2*pi*7 = 14pi = 43.98 cm
Although this is the circumference of the entire circle... To solve for the circumference of a quarter-circle we must find the quarter of that:
43.98 * 1/4 = 10.99 cm
We are already provided with the other two sides, which are both equal to 7 cm since they are radii.
Perimeter = 10.99 +7 + 7 = 24.99 cm
Hope this helps!
*PLEASE ANSWER TY* What is the volume of this prism?
Answer:
80 cube units
Step-by-step explanation:
Two angles together form a straight line, which is 180 degrees. Both angles are congruent. What do they measure?
O 180 degrees
O 90 degrees
O There's no way to tell.
Answer:
90 degrees
Step-by-step explanation:
Two angles form a straight line which is 180 degrees.
The two angles are congruent ( or equal to each other )
Let x = measure of one of the angles.
180 = 2x
Divide both sides by 2
180/2 = 90
2x / 2 = x
x = 90
The measure of both angles are 90 degrees
Answer:
It’s 90
Step-by-step explanation:
Sorry I’m in a hurry right now sorry if I didn’t give you the explanation I’m running while typing this