Answer:
Step-by-step explanation:
[tex]a^{m}* a^{n}=a^{m+n}\\\\\\(\frac{-1}{2})^{-19}*(\frac{-1}{2})^{8}=(\frac{-1}{2})^{-2x +1}\\\\(\frac{-1}{2})^{-19+8}=(\frac{-1}{2})^{-2x+1}\\\\\\(\frac{-1}{2})^{-11}=(\frac{-1}{2})^{-2x+1}[/tex]
As bases are equal in boht sides, we can compare the exponents.
-2x + 1 = -11
Subtract 1 form both sides
-2x = -11 - 1
-2x = -12
Divide both sides by -2
x = -12/-2
x = 6
Plssss help thank youuu
Hey can someone help me
Mr Brown spends 65% of his monthly income and saves the rest. After being promoted, his salary increases by 40% and his expenses increase by 20%. Find the percentage change in his savings.
Answer:
There is a percentage increase of 77.1% in savings
Step-by-step explanation:
The answer can be determined by assigning a value to the income of Mr Brown.
Let Mr. Brown's initial income = 100
Percentage spent = 65%
Amount spent = 100 x 0.65 = 65
Percentage he saves = 100 - 65% = 35%
Amount he saves = 100 x 0.35 = 35
Salary after increase = 1.40 x 100 = 140
Increase in expenses = 1.2 x 65 = 78
Amount saved after increase in income = 140 - 78 = 62
Percentage increase = (new amount saved / previous amount saved) - 1
Percentage increase = (62 / 35) - 1 = 0.771 = 77.1%
PLZ HELP solve the following equations:
a) |3x+2|+3x+2=0
b) |2x+3|+|x-2|=6x
Answer:
a) x is less than or equal to −2/3
b) x=1
Step-by-step explanation:
didn't pay attention and now im stuck :/
Answer:
A (First One)
Step-by-step explanation:
Side AC Is Congruent By Side DF
Side CB Is Congruent By Side FE
Side AB Is Congruent By Side DE
(There's no angles shown so it can't be the second option.)
The diagram has lines on the sides, if it we're SAS then the triangle would have an angle.
Answer:
ΔABC≅ΔDEF by SSS Postulate
Step-by-step explanation:
Hi there!
We are given 2 triangles
And we want to prove them congruent
You may notice that AC and FD have the same tick markings, AB and ED have the same tick markings, and CB and FE have the same tick markings
This means that those sides are congruent
In other words,
AC≅FD
AB≅DE
CB≅FE
If we have 3 pairs of congruent sides, that is enough for one concurrency postulate called side-side-side (SSS), which states that if 3 sides of a triangle are congruent to 3 sides in another triangle, then those triangles are congruent
So the triangles are congruent, but we need to put their vertices in the correct order
So if we make the name of the first triangle ABC, then we need to find the corresponding vertices in the second triangle
So let's find those vertices
D is corresponding to A, as they are both in between line segments that have 1 and 2 tick markings on them
E is corresponding to B, as they are both between line segments that have 2 and 3 tick markings on them
And finally, F is corresponding to C, as they are both between line segments that have 1 and 3 tick markings on them
So the name of the second triangle is DEF
ΔABC≅ΔDEF by SSS Posulate
Hope this helps!
Problem 5
The sum of the first ten terms of an arithmetic progression consisting of
positive integer terms is equal to the sum of the 20th, 21st and 22nd term.
If the first term is less than 20, find how many terms are required to give
a sum of 960.
Answer:
is this in the euler student problem question?
Step-by-step explanation
the area of a rectangle is given by 6x²+19x+15. if x represents 4m, what are the dimensions of the length and width of the rectangle?
Answer:
Length = 17m
Width = 11m
Step-by-step explanation:
Expression for the area of the rectangle = 6x² + 19x + 15
Factorising the quadratic expression
6x² + 19x + 15 = (6x² + 9x) + (10x + 15) = 3x(2x + 3) +5(2x + 3) = (3x + 5)(2x + 3)
x = 4m
Length = 3x + 5 = 3(4) + 5 = 12 + 5 = 17m
Width = 2x + 3 = 2(4) + 3 = 8 + 3 = 11m
f(x)= x^2-6x+5 Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry for the function.
Step-by-step explanation:
The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
269 - a < a
What is a?
I will put brainliest plz help!
I don't have much time
Answer:
a > 269/2
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
269 - a < a
Step 2: Solve for a
[Addition Property of Equality] Add a on both sides: 269 < 2a[Division Property of Equality] Divide 2 on both sides: 269/2 < aRewrite: a > 269/2Rent received from a tenant was debited to the rent receivable account and credited to the case book. What type of error has been made? A commission B compensating C complete reversal D principle
Answer: C complete reversal
Step-by-step explanation:
When there is a complete reversal error which is also known as an " error of complete reversal entry", the debit entry is switched with the credit entry. This is one of the more difficult errors to pick up because the Trial balance remains balanced when this happens as the debits and the credits would still be equal.
When rent is received from a tenant. The correct entries are to debit it to cash which is an asset and so will be debited when it increases.
Then credit it to Rent Receivable because this is a revenue account and these are credited when they increase.
The entries were therefore reversed.
Find x.
a. 40.3
b. 37.2
c. 17.3
d. 19.1
Answer:
x = 17.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 25 = x /41
41 sin 25 = x
17.32734=x
Rounding to the tenths place
x = 17.3
We have to find,
The required value of x.
Now we can,
Use the trigonometric functions.
→ Sin(θ) = opp/hyp
Let's find the required value of x,
→ Sin (θ) = opp/hyp
→ Sin (25) = x/41
→ x = 41 × Sin (25)
→ x = 41 × 0.42262
→ x = 17.32734
→ [x = 17.3]
Hence, option (c) is the solution.
Simplify the following:
1) √12 =
Answer:
2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{12}[/tex]
= [tex]\sqrt{4(3)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex]
= 2[tex]\sqrt{3}[/tex]
please help me with this problem !
Use elimination to solve the system 4x + 7y = –14 and 8x + 5y = 8 for x. Round to the nearest tenth.
Answer:
x = 3.5
y = - 4
Step-by-step explanation:
2(4x + 7y = -14)
8x + 14y = -28
8x + 5y = 8
- (8x + 14y = -28)
--------------------------
- 9y = 36
y = 36/-9
y = - 4
4x + 7y = - 14
4x + 7(- 4) = - 14
4x -28 = - 14
4x = 14
x = 14/4
x = 3.5
A ball is thrown off the roof of the school. Its path can be described by the equation: h(t) = -2t^2 + 8t + 10, where h is height in meters after t seconds.
a) How tall is the building?
Answer:
10 meters
Step-by-step explanation:
The given function [tex]h(t)=-2t^2+8t+10[/tex] represents the height, [tex]h[/tex], in meters, [tex]t[/tex] seconds after the ball is thrown.
Since the ball is thrown off the roof, then ball's height will be equal to the roof's height before being thrown (0 seconds). Therefore, substitute [tex]t=0[/tex] into the given function [tex]h(t)=-2t^2+8t+10[/tex]:
[tex]h(0)=-2(0^2)+8(0)+10,\\h(0)=0+0+10,\\h(0)=\boxed{10\text{ meters}}[/tex]
Therefore, the building is 10 meters tall.
Help Now Please!!!
Find The Volume Of This Cylinder
Answer:
502.4 m³.
Step-by-step explanation:
Formula: πr²h
4² = 16 x 10 = 160
160 x 3.14 (about π) ≈ 502.4 m³.
Hope this helps.
If there is something wrong, please let me know.
Answer:
160[tex]\pi[/tex] or
500[tex]m^{3}[/tex]
Step-by-step explanation:
[tex]\pi[/tex] x [tex]4^{2}[/tex] x 10 = 160[tex]\pi[/tex] or 500[tex]m^{3}[/tex]
Find x. PLEASE HELP ASAP
Answer:x=35.6
Step-by-step explanation:
look at the left triangle. I hope you're familiar with SOH, CAH and TOA.
sin 60°=O/(11√7)
so O= (11√7)sin 60°
now look at the triangle on the right.
cos 45=adjacent/x
cos 45=[(11√7)sin60°]/x
therefore, using ur calculator, you'll get x= [(11√7)sin60°]/cos 45
x=35.64407384
Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x < 104)?
A. 0.16
B. 0.975
C. 0.84
D. 0.025
Answer:
Step-by-step explanation:
If the mean is 98, then 104 is only standard deviation away. If we are looking for the values less than this, we have the areas under the normal curve of 34%, 34%, 13.5%, 2.35%, .15% which add to 84%, or as a decimal, .84, choice C.
The z-score of the normal distribution P ( x ≤ 104 ) = 0.84
What is a z-score?The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.
The Z-score is calculated using the formula:
z = (x - μ)/σ
where z: standard score
x: observed value
μ: mean of the sample
σ: standard deviation of the sample
Given data ,
Let the z-score of the distribution be z
And , the mean be μ = 98
And , the standard deviation be σ = 6
where z = (x - μ)/σ
So , P ( x ≤ 104 ) = [ P ( x - 98/6 ) ≤ 104 - 98 / 6 ) ]
On further simplification , we get
P ( x ≤ 104 ) = P ( x ≤ 1 )
Using a standard normal distribution table or calculator, we can find that the probability of a z-score less than 1 is approximately 0.8413. Therefore, the probability of x being less than 104 is approximately:
P(x < 104) = P(z < 1) ≈ 0.8413
So there is approximately an 84.13% chance that a value selected at random from this normal distribution will be less than 104
Hence , the probability is 0.84
To learn more about z-score click :
https://brainly.com/question/25638875
#SPJ7
Use the drawing tools to form the correct answer on the graph.
Every day the ocean has two low tides and two high tides. Function grepresents the height, in feet, of the water level in a cove relative to the
average sea level. Let trepresent the number of hours elapsed since the water height was equal to the average sea level after a low tide.
g(t) = 4sin(t)
Plot the points where g(t) is equal to the average sea level.
Answer:
The sinusoidal function that represent the height of the water level, is presented as follows;
[tex]g(t) = 4 \cdot sin \left(\dfrac{\pi}{6} \cdot t \right)[/tex]
Where;
t = The number of hours since the water height was the average sea level height
The graph of g(t) showing the points where g(t) = The average see level, created with MS Excel is attached
Step-by-step explanation:
Answer:
put a dot on points
(0,0)
(0,6)
(0,12)
Step-by-step explanation:
Please help me out!!!!!
Answer:
From the figure, we´ll use the ratio of sin74
sin74=x/16
x=16/sin74
x=16.64
OAmalOHopeO
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. /13
B. 3
C. 4/3
D. /3
Pls help ASAP
Answer:b /13
Step-by-step explanation:
Rosa worked 28 hours this week and was paid $7 per hour. What were her tot earnings for the week?
Answer:
$196.
Step-by-step explanation:
Multiply the hours (h) by amount per hour (a) (h*a), 28*7 and you will get her total earnings, $196.
Answer:
$196
Step-by-step explanation:
28 hours and $7 per hour so you do 28x7 which equals 196.
can someone help with this, and explain it as well
Answer:
WRS and VRT are vertical angles
Step-by-step explanation:
Vertical angles are formed by the same lines and share a vertex
WRS and VRT are vertical angles
PLEASE HELP
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Write the expression in simplest form.
Question: (-11/2x+3)-2(-11/4x-5/2)=??
Answer:
The answer is 8.
Step-by-step explanation:
Hope it will help you
Answer:
-22x + 88
Step-by-step explanation:
Simplify it into (-11/2x+3) + (11/4x-5)
Multiply by LCM (2x+3)(4x-5)
You will get -11(4x-5) + 11(2x+3)
Simplify it to -44x+55 + 22x + 33
Simplify it to -22x + 88
Quadrilateral MNTU below is a parallelogram. If m2 M = 4x + 6 and m2N = 2x + 30, what is the value of x?
Answer:
x=12
Step-by-step explanation:
im not 100% but i think you would get the answer by setting the equations equal to one another.
4x+6=2x+30
2x=24
x=12
find the measure of one exterior angle In each regular polygon
Answer:
Step-by-step explanation:
The formula for exterior angles of a regular polygon is that they must add up to 360. They are also equal for a regular polygon.
Exterior angle = 360 / number of sides
The first one (a pentagon) has 5 sides
Exterior angle = 360/5
Exterior angle = 360/5 = 72
The second one has 8 sides.
Exterior angle = 360/8
Exterior angle = 360/8 = 45
The function h is defined by the following rule.
Answer:
(-3, -10)
(-1,-2)
(1,6)
(4,18)
(5,22)
Step-by-step explanation:
-3 ---> 4(-3) + 2 = -10
-1 ---> 4(-1) + 2 = -2
1 ---> 4(1) + 2 = 6
4 ---> 4(4) + 2 = 18
5 ---> 4(5) + 2 = 22
Can someone please help me with this??
Answer:
Use photo math
Step-by-step explanation:
its easier
Describe how you would determine the x-intercepts from the factored form of a quadratic equation
Answer:
Please check explanations
Step-by-step explanation:
Given the factored form, all we have to do is to equate each of the factor to zero, then solve for x
The particular value of x represents the solution that shows the value of the x-intercept
for example
In a case of a quadratic equation where we have
(x-a)(x-b) = 0
Then we can have
(x-a) = 0 or ((x-b) = 0
Then we have x = a or x = b
a and b are the x intercepts in this case
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answer:
"The range of the function is all real numbers less than or equal to 9."
Step-by-step explanation:
For this question the domain is (-∞,∞)
The range is all numbers less than 9 (the y-coordinate of the vertex)
The reason the numbers are less than 9 is because the graph is concave down (aka it looks like a frowny face)
Therefore the answer is "The range of the function is all real numbers less than or equal to 9."