Answer:
The answer to your question is -5
Step-by-step explanation:
Data
[tex]\frac{3}{2}x - \frac{7}{2} = 5x + 14[/tex]
Process
1.- Subtract 5x in both sides
[tex]\frac{3}{2} x - \frac{7}{2} - 5x = 5x -5x + 14[/tex]
2.- Simplify
[tex]- \frac{7}{2} x - \frac{7}{2} = 14[/tex]
3.- Add 7/2 in both sides
[tex]-\frac{7}{2} x = 14 + \frac{7}{2}[/tex]
4.- Simplify
- [tex]\frac{7}{2} x = \frac{35}{2}[/tex]
5.- Solve for x
x = [tex]\frac{35}{2} / - \frac{7}{2}[/tex]
6.- Simplify
x = -5
Answer: x = -3.71
Step-by-step explanation:
3/2*-7/2=5x+14
-4.55=5x+14
Subtract 14
-18.55=5x
Divide by 5
x = -3.71
Hope it helps <3
A city has a population of 220,000 people. Suppose that each year the population grows by 7.25%. What will the population be after 13 years?
Answer:
427,350
Step-by-step explanation:
so you do 7.25×13=94.25
and then you do 94.25%×220,000=207,350
So you can now do 207,250+220,000 (which) =427,350
The angle measurements in the diagram are represented by the following expressions
angle A = angle B corresponding angles
8x - 8 = 5x + 25
3x = 33
x = 11
angle B
5x + 25
55 + 25
80°
If (Fx) = Square root 4x+9+ 2, which inequality can be used to find the domain of f(x)?
A.Square root 4x is greater than or equal to zero
B.4x +9 is greater than or equal to 0
C. 4x is greater than or equal to 0
D.Square root 4x+9 +2 is greater than or equal to 0
Answer:
Third one 4x+9
Step-by-step explanation:
We khow that any any real number inside the root should be positive
Our root is [tex]\sqrt{4x+9}[/tex]4x+9 shoul be positive wich can be expressed mathematically by:
4x+9≥0
The width of an arch is 1.4 m and the semicircle at the top begins at a height of 1.9 m. What is the minimum amount of material in square metres needed to cover the whole arch so you cannot see through it?
Answer:
The minimum amount of material in m^2 that will be needed to cover the whole arc will be 3.43 m^2
Step-by-step explanation:
This arc can be divide into two shape; a semi circle with a diameter of 1.9 m, and a rectangle with a width 1.9 m and a height of 1.4 m
For the semicircle, the area = [tex]\frac{\pi d^{2} }{4}[/tex] ÷ 2
where d is the diameter
==> [tex]\frac{3.142 * 1.4^{2} }{4}[/tex] ÷ 2
==> 1.539 ÷ 2 = 0.7695 m^2
For the rectangle, area = width x height
==> 1.4 x 1.9 = 2.66 m^2
Total area = 0.7695 + 2.66 = 3.43 m^2
This is the minimum amount of material that will be needed to cover the whole arc.
The number of a two dollar bill i need to pay for a purchase is 9 more than the number of 5 dollar bills i need to pay for the same purchase what is the cost of the purchase?
Answer:
$60
Step-by-step explanation:
Let's say we need t $2 bills and v $5 bills.
We need 9 more $2 bills than $5 bills, so:
t = 9 + v
We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:
5v + 45 = 2t
Plug v + 9 in for t in 5v = 2t + 18:
5v = 2t + 18
5v = 2 * (9 + v) + 18
5v = 18 + 2v + 18
3v = 36
v = 12
We have 12 $5 bills, so that total cost is 12 * 5 = $60.
~ an aesthetics lover
(PLEASE HELP) Match each hypotenuse length with the leg lengths that will create a right triangle.
Answer:
Step-by-step explanation:
(√2)^2 + (√5)^2 =
2 + 5 = 7
But that equals the hypotenuse squared. The actual value will be √7
======================
(√3)^2 + 4^2 =
3 + 16
19 But this equals the hypotenuse squared, so the answer is actually (√19 ) which isn't there. It might be a right triangle, but none of the answers match this one.
===========================
2^2 + (√5)^2 = 4 + 5 = 9
This is the square of the hypotenuse. √9 = 3 which is the last one.
===========================
(2)^2 + (2)^2 = 4 + 4 = 8
But the hypotenuse will be √8
==========================
1^2 + 2^2 = 1 + 4 = 5
The hypotenuse is √5
Answer:
√8 ==> 2 units, 2 units
√7 ==> √5 units, √2 units
√5 ==> 1 unit, 2 units
3 ==> >2 units, √5 units
Step-by-step explanation:
Suppose that the market research department of a famous bakery has determined that the most aesthetically pleasing donut has a thickness that is twice the inner radius of the donut (that is, the radius of the donut’s hole). The formula for the inner radius of the donut is given by the equation , where V is the volume of the donut in cubic centimeters. Use the table of values to help you answer the questions about r(v). -30 -0.80 -20 -0.70 -10 -0.55 0 0 10 0.55 20 0.70 30 0.80
Answer:
The information given are;
[tex]r(V)=\sqrt[3]{\dfrac{V}{6\cdot \pi ^{2}}}[/tex]
Where;
r(V) = The radius of the doughnut (cm)
V = The volume of the doughnut (cm³)
The data are;
V, r(V)
-30, -0.8
-20, -0.7
-10, -0.55
0, 0
10, 0.55
20, 0.7
30, 0.8
From the table of values, the identified key features are;
a) There is a direct relationship between the radius and the volume of the doughnut
b) The correlation between the data increases to direct proportionality from the volume of 20 cm³ and above
c) The data values are symmetric and continuous about the y and x-axis
2) There is a direct linear relationship between radius, r and the volume V at end ends of the data between r and V where V = -30 and-20 at one end and 20 and 30 at the other end
b) The x and y-intercept are
The x -intercept = (0, 0)
The x -intercept = (0, 0)
c) The pivot point is the point about which change occurs, therefore, the pivot point is the (10, 0.55)
d) The domain is a member of the set of real numbers, R while the range is also a member of the set of real numbers, R
Step-by-step explanation:
Which pairs of events describe independent events?
Answer:last one is the correct ans...
Step-by-step explanation:
Pleased to help u....
Factorise each expression.
Answer:
Multiple Answers
Step-by-step explanation:
A) c^2+4c
(c+2c)^2
We just needed to see the sqrt of the terms
d) No perfect sqrt, so this is a coomon factor problem
3m(m+1)
g) Another common factor problem
3x(2x+1)
j) another common factor problem
3y(9y-5)
Answer:
a- c²+4c
c(c+4)
d- 3m²+3m
3m(m+1)
g- 6x²+3x
3x(2x+1)
j- 27y²-15y
3y(9y-5)
The altitude of an object, d, can be modeled using the equation below. d=-16t^2+vh+h.where v is the initial velocity and h is the initial height.A catapult launches a stone with an initial velocity of 48 feet per second and an initial height of 0 feet. How long will the stone be in flight?
Answer:
The stone will be in flight for 3 seconds
Step-by-step explanation:
Given the equation;
d = -16t^2 + vt + h
Where;
v = the initial velocity
h = the initial height
Given;
v = 48 ft/s
h = 0
Substituting into function d;
d = -16t^2 + 48t + 0
d = -16t^2 + 48t
At the point of launch and the point of landing d = 0.
We need to calculate the values of t for d to be equal to zero.
d = -16t^2 + 48t = 0
-16t^2 + 48t = 0
Factorising, we have;
16(-t+3)t = 0
So,
t = 0 or -t+3 = 0
t= 0 or t =3
Change in t is;
∆t = t2 - t1 = 3 - 0
∆t = 3 seconds.
The stone will be in flight for 3 seconds.
The principal feature of the redesigned checks is a series of printed instructions that the company hopes will help merchants confirm a check’s authenticity, which includes reminders to watch the endorsement, compare signatures, and view the watermark while holding the check to the light.
(A) which includes reminders to watch the endorsement, compare signatures, and view
(B) which include reminders for watching the endorsement, to compare signatures and view
(C) by including reminders for watching the endorsement, comparing signatures, and viewing
(D) including reminders to watch the endorsement, comparing signatures and viewing
(E) including reminders to watch the endorsement, compare signatures, and view
Answer:
(E) including reminders to watch the endorsement, compare signatures, and view
Step-by-step explanation:
The principle features that will help the company to confirms checks authenticity. It include endorsements and compare the signatures with the designated signatories. If the signatures are matched correctly with the assigned signatories the check is hold in light to view the watermark on it.
Which of the following is not a rigid motion transformation?
Answer:
D. Stretch
Step-by-step explanation:
All the others keep the same dimensions
The one which is not a rigid motion transformation is D. Stretch.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Rigid motion transformation is the transformation which is formed when a point or a shape is transformed such that the size or the shape of the original object does not change.
In rotation, translation and reflection, there is no change in the size or the shape.
But in dilation, the size becomes smaller or larger based on it is enlargement or stretch.
So stretch is not a rigid motion transformation.
Hence option D is the correct answer.
Learn more about Rigid Motion Transformation here :
https://brainly.com/question/1408127
#SPJ7
Solve the inequality. 12x – 3x + 11 > 4x – (17 – 9x)
Answer:
20>4
Step-by-step explanation:
12-3 forget about the x 12-3=9 . 9+11=20
(17-9)=8 . 8-4 =4
so your answer is correct
Answer:Subtract 3x from 12x
9 x + 11 > 4 x − ( 17 − 9 x )
Simplify 4 x − ( 17 − 9 x ) .
9 x + 11 > 13 x − 17
Move all terms containing x to the left side of the inequality.
−4 x + 11 > − 17
Move all terms not containing x to the right side of the inequality.
− 4 x > − 28
Divide each term by − 4 and simplify
x < 7
Interval Notation:
( − ∞ , 7 )
Beth says that the graph of g(x)=x-5+1 is a
Translation of 5 units to the left and 1 unit up of
F(x)=x
She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x) is Beths description of the transformation correct? Explain
Answer: No.
Step-by-step explanation:
The graph of g(x) = x - 5 + 1 is a Translation of 5 units to the right not to the left and 1 unit up of F(x) = x
the point (0,0) on the square root function would be translated at the same value which will be to the point (5,1) on the graph of g(x)
Beths description of the transformation is therefore incorrect.
Answer:
No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).
Step-by-step explanation:
This came right from Edg
Find the length of an earthworm 4 hours after its birth
Answer:
Maximum is 14 inches so maybe 5 inches?
Step-by-step explanation:
What is the image of N for a 300° counterclockwise rotation about the center of the regular hexagon? Will give brainiest only if answered correctly with explanation
Answer:
H
Step-by-step explanation:
here, the question says that the given regular hexagon needs to be rotated counter clockwise 300°, considering the edges labels, each movement from one edge to other is 60° as 360/6 =60.
focus on N and move on anti clockwise.
When N rotates anti clockwise about center from original to position G, is 60°,
when N moves on anti clockwise about center from original to position A is 120°.
similarly, to X is 180°, to E is 240° and to H is 300°.
so, the new position of N when rotated anti clockwise about origin of the hexagon will be at H.
¿que son los cuadriláteros?
Answer:
Cuadrilátero solo significa "cuatro lados" (quad significa cuatro, lateral significa lado). Un cuadrilátero tiene cuatro lados, es bidimensional (una forma plana), cerrado (las líneas se unen) y tiene lados rectos.
Un cuadrilátero es un polígono con cuatro aristas y cuatro vértices.
Step-by-step explanation:
identify the coefficient of X
1. 2x
2. -5x
3. 49x
4. -6x²
5. 3xy²
Answer:
2
-5
49
-6
3
Step-by-step explanation:
Coefficient is a number, value or item that serves as a measure of some property or characteristic.
or in other words a number that is added in front of a term.
Hope this helps ;) ❤❤❤
Tonia and trinny are twins. Their friends give them identical cakes for their birthday. Tonia eats 1/8 of her cake and trinny eats 1/6 of her cake. How much cake is left? please show working thank youu
Answer:
[tex]\frac{7}{12}[/tex] of the cake
Step-by-step explanation:
add [tex]\frac{1}{8}[/tex] and [tex]\frac{1}{6}[/tex] to see the total amount of cake eaten.
a. find the common denominator: 8 x 3 = 24 and 6 x 4 = 24
b. multiply accordingly to get the correct numerator: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex]
c. add: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex] = [tex]\frac{7}{24}[/tex]
subtract found value from total to find left over cake.
a. 24 - 7 = 14
simplify.
a. [tex]\frac{14}{24}[/tex] = [tex]\frac{7}{12}[/tex]
You are left with [tex]\frac{7}{12}[/tex] of the cake.
Solve for r in the following equation: 2 (3+x) = 3r-4
A. 7/3
B. 5
C. 7
D. 10
Answer:
7/3 is the answer.
Hope this helps.....
Have a nice day!!!!
Andrew is about to leave for school. If he walks at a speed of 50 meters per minute, he will arrive 3 minutes after the bell rings. If he runs at a speed of 80 meters per minute, he will arrive 3 minutes before the bell rings. In how many minutes will the bell ring?
Answer:
The answer is: 13 minutes
Step-by-step explanation:
First Let us form equations with the statements in the two scenario
[tex]time=\frac{distance}{speed}[/tex]
Let the time in which the bell rings be 'x'
1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes
[tex]3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)[/tex]
2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes
[tex]x - 3 = \frac{distance}{80} \\distance = 80(x-3) - - - - - (2)[/tex]
In both cases, the same distance is travelled, therefore, equation (1) = equation (2)
[tex]50(3+x)=80(x-3)[/tex]
[tex]150 +50x=80x-240\\[/tex]
Next, collecting like terms:
[tex]150 + 240 = 80x - 50x\\390 = 30x\\30x = 390\\[/tex]
dividing both sides by 3:
x = 390÷30 = 13
∴ x = 13 minutes
A survey devices eyepiece is 6 feet off the ground. The device is placed 60 feet from a tree, the eyepiece must be elevated upwards at a 33 angle to see the top of the tree. How tall is the tree?
Greetings from Brasil...
Pure application of trigonometry - tangent
see the attachment
H = X + 6
and
TG 33 = X/60
X = 60.TG 33
X ≈ 39
H = X + 6
H = 39 + 6
H = 45Help!! I WILL GIVE BRAINLIEST I NEED HELPPPPPPPPPPPPPPPPPPP PLEASE PLEASE PLEASE PLEASEEEEEEEEEEEEE IM DEADD I REALLY NEED HELP ASAP ITS URGENT
Answer:
arc axb=4.938
Step-by-step explanation:
to find the measure of arc AXB find angle P first
length of the arc=rФ
in triangle APQ sin angle APQ= opp/hyp=AQ(radius)/PQ=5/√5+√21
in traingle PQB sin angle BPQ= opp/hyp.=5/√5+√21
angle P"
2arcsin 5/√5+√21= 94.324 degrees=(π*94.324)/180=1.64626 rad.
arc AXB=Фr (Ф=94.324 , r=3)
arc axb=4.938
The two square pyramids are similar. The side length of the smaller pyramid is the side length of the larger pyramid.
Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?
Answer:
9/16
see explanation below
Step-by-step explanation:
This question is lacking figures. But it is easy to solve question asking for the ratio of the areas of a shape when the shapes are similar.
When shapes are similar, the ratio of their corresponding sides are equal.
whilst the ratio of the area of similar shapes is equal to the square of the ratio of their corresponding sides.
In other words, if the corresponding sides are a and b respectively, the ratio of their sides = a/b
and the ratio of the areas of the shape = (a/b)²
Assumption: Now if the side length of the smaller pyramid is 3/4(the side length of the larger pyramid)
let length larger pyramid = x
length of smaller pyramid = 3/4 x
their ratio (small/big) = (3x/4)/x = 3/4
ratio of their areas = (3/4)²
the ratio of base area of the smaller pyramid to the base area of the larger pyramid = 9/16
Answer:
A.) 9/16
Step-by-step explanation:
Have a great day, and take mental health breaks! You are loved :)
vertical stretch of the graph f(x)= x² by a factor of 5
PLEASE HELP!!
Answer:
f(x) = 5x^2
Step-by-step explanation:
A vertical stretch is in the y direction
y = Cf(x) C > 1 stretches it in the y-direction
f(x) = 5x^2
Can y’all solve this for me???
Answer:
1/4PI I GOT IT RIGHT ON KHAN ACADEMY
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
Answer:
[tex]\boxed{\frac{1}{2}\pi}[/tex]
Step-by-step explanation:
Use length of arc formula.
[tex]\frac{\theta }{360} \times2 \pi r[/tex]
The radius is 1 unit.
θ = 90°
[tex]\frac{90}{360} \times 2\pi (1)[/tex]
[tex]\frac{1}{4} \times 2\pi[/tex]
[tex]\frac{1}{2} \times\pi[/tex]
Carrie works 40 hours a week spend 15% her tome in the register 30% her time greeting customers remainder of her time I'm maintenance what % is her time spent in maintenance
Answer:
[tex]Maintenance = 55\%[/tex]
Step-by-step explanation:
Given
[tex]Time = 40\ hours[/tex]
[tex]Register = 15\%[/tex]
[tex]Greetings = 30\%[/tex]
Required
Percentage of time spent in maintenance;
From the given parameters,She spends the rest of her time in maintenance;
This implies that
[tex]Register + Greetings + Maintenance= 100\%[/tex]
Substitute 15% for Register and 30% for Greetings
[tex]15\% + 30\% + Maintenance= 100\%[/tex]
[tex]45\% + Maintenance= 100\%[/tex]
Subtract both sides by 45%
[tex]45\% - 45\% + Maintenance = 100\% - 45%[/tex]
[tex]Maintenance = 100\% - 45%[/tex]
[tex]Maintenance = 55\%[/tex]
Hence, the percentage of time spent in Maintenance is 55%
Need help with these last two questions, tysm if you do :D
Answer:
D.
A. x ≤ 1
Step-by-step explanation:
Well for the first question we need to simplify the inequality.
4x + 3 < x - 6
-x to both sides
3x + 3 < -6
-3 to both sides
3x < -9
Divide 3
x < -3
So if x is less than -3 than it goes to the left starting at -3.
So D. is the answer.
So to solve the floowing inequality we simplify, distribute, and combine like terms.
3(2x - 5) + 3 ≤ -2(x + 2)
6x - 15 + 3 ≤ -2x -4
6x -12 ≤ -2x - 4
8x - 12 ≤ -4
+12
8x ≤ 8
8/8
x ≤ 1
Hence the answer is A. x ≤ 1
Tamara earns 2,050 every month. She spends 65% on the amount that she earns. The rest of the money is equally divided and deposited into two seperate accounts. How many months until tamara has deposited more than 2,500 in one of her accounts
Answer:
Tamara earns $2,050 each month.
She spends 65% of that, so the amount that she spends is:
S = (65%/100%)*$2,050 = 0.65*$2,050 = $1,332.50
Then the amount that she has left is:
R = $2,050 - $1,332.50 = $717.50
Now she divides that in half, and deposits those amounts in two separate accounts.
She deposits $717.50/2 = $358.75 in each acount.
Then she deposits $358.75 per month, so after x months she has:
x*$358.75 in each of those accounts, so one of the accounts will have more than $2,500 when:
x*$358.75 = $2,500
x = $2,500/$358.75 = 6.96
So after 6.96 moths she will have more than $2,500 in one of her accounts, we can round it to:
After 10 months Tamara has deposited more than 2,500 in one of her accounts.
HURRY PLEASE!!!
In circle Y, what is the measure of arc TU?
59°
67°
71°
118°
Answer:
71°
Step-by-step explanation:
m∠1 = (SR + TU)/2
m∠1 = 63°
SR = 55°
substitute into the equation
63° =(55° - TU) / 2
TU = (63° * 2) - 55°
TU = 71°