9514 1404 393
Answer:
9 years
Step-by-step explanation:
The simple interest formula is ...
I = Prt
where I is the interest earned on principal P invested at annual rate r for t years. Solving for t, we have ...
t = I/(Pr) = 1125/(2500×.05) = 1125/125
t = 9 . . . . years
It will take 9 years for Anna to earn 1125 in interest.
Plz help I’ll award brainliest!!!
That is the same as writing [tex]10\sqrt{30}[/tex]
======================================================
Explanation:
The diagram shows that
AC = 60AD = 50That must mean DC = AC-AD = 60-50 = 10
We'll use this to help find BD as shown below
AD/BD = BD/DC
AD*DC = BD*BD .... cross multiply
(BD)^2 = AD*DC
BD = sqrt(AD*DC) ..... geometric mean formula
BD = sqrt(50*10)
BD = sqrt(500)
----------------------
Now apply the pythagorean theorem to find AB. Focus on triangle ABD.
(AD)^2 + (BD)^2 = (AB)^2
(AB)^2 = (AD)^2 + (BD)^2
(AB)^2 = (50)^2 + (sqrt(500))^2
(AB)^2 = 2500 + 500
(AB)^2 = 3000
AB = sqrt(3000)
AB = sqrt(100*30)
AB = sqrt(100)*sqrt(30)
AB = 10*sqrt(30)
Find an equation of variation where y varies directly as x and y = 7 when x = 0.5 .
Answer:
y = 14x
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 7 as y and 0.5 as x, and solve for k:
y = kx
7 = k(0.5)
14 = k
Plug this into the equation:
y = kx
y = 14x
So, the equation of variation is y = 14x
PRE-ACTIVITIES/PRE-TEST
5. A tyF
ASK #1
Directions: Draw a star (★) if the statement
lescribes the effects of typhoons and a circle (•) if it is not. Write your answers
1 your notebook.
a. less
b.fror
c.gre
d.gr
(P
th
U
1. The farmers' crops are destroyed when there are heavy rains which
result to flooding.
2. Loss of lives and damage to properties happen due to fiooding and
landslides
3. Thousands of families become homeless.
4. Fishermen can go fishing and abundant catch awaits them.
5. The power supply is cut off for several days as falling trees destroy the
electric posts and power lines.
6. People lose their homes and means of livelihood.
7. The prices of basic commodities become cheaper.
8. People visit malls for shopping.
9. A few houses of first-class materials are partially damaged,
10. Children play on the playground.
Answer:
Step-by-step explanation:
★1. The farmers' crops are destroyed when there are heavy rains which
result to flooding.
★2. Loss of lives and damage to properties happen due to fiooding and
landslides
★3. Thousands of families become homeless.
•4. Fishermen can go fishing and abundant catch awaits them.
★5. The power supply is cut off for several days as falling trees destroy the
electric posts and power lines.
★6. People lose their homes and means of livelihood.
•7. The prices of basic commodities become cheaper.
•8. People visit malls for shopping.
•9. A few houses of first-class materials are partially damaged,
•10. Children play on the playground.
PLWASE HELP GEOMETRY
A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right
angle with the ground. The other rope forms an angle of 60° with the ground. Which statements are correct?
Using trigonometry solve for h and d.
H :
Sin(60) = h/120
H = 120 x sin(60)
H = 103.9 = 104 feet
D:
Cos(60) = d/120
D = 120 x cos(60)
D = 60 feet
The correct answers:
A. D = 60 ft.
C. H = 104 ft
what is 1 + 1?
First to answer gets 10 points!
Answer:
2
Step-by-step explanation:
i will mark brainliest please help me on this question!
PLS HELP!
Two vertical angles measure (5x + 15)° and (3x + 27)°. Draw a diagram that illustrates the vertical angles. Solve for each angle.
Answers:
x = 6
Each angle is 45 degrees
The diagram is shown below
=========================================================
Explanation:
Vertical angles are always congruent
Set the two expressions equal to each other and solve for x.
5x+15 = 3x+27
5x-3x = 27-15
2x = 12
x = 12/2
x = 6
As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides
5x+15 = 3x+27
5*6+15 = 3*6+27
30+15 = 18+27
45 = 45
Each angle is 45 degrees, so the answer is confirmed.
---------
The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.
In short: draw an X shape and mark any two opposite angles to form the vertical angles.
Write the quadratic function in the form g(x) = a(x-h)^2 +k
Then, give the vertex of its graph.
g(x)= −2x^2+8x-11
Writing in the form specified: gx=
Vertex:
Answer:
the ansswer is 3x+4x=24
Step-by-step explanation:
Find the 40th term of the arithmetic sequence with a = 150 and a common difference of d =-4.
1.-6
2.6
3.-2
4.2
Answer:
1. -6
Step-by-step explanation:
a1 = 150
a2 = a1 - 4 = 150 - 4 = 146
a3 = a2 - 4 = a1 - 4 - 4 = 146 - 4 = 150 - 4 - 4 = 142
...
=>
an = a1 - (n-1)×4
=>
a40 = a1 - 39×4 = 150 - 156 = -6
Calculate the GPA of a student with the following grades: B (13 hours), D (16 hours), C (13 hours). Note that an A is equivalent to 4.0, a B is equivalent to a 3.0, a C is equivalent to a 2.0, a D is equivalent to a 1.0, and an F is equivalent to a 0. Round your answer to two decimal places.
The GPA of the student, based on the given grades, is approximately 1.93.
Use the concept of probability defined as:
Given that,
Grades provided: B (13 hours), D (16 hours), C (13 hours)
Grade equivalencies: A = 4.0, B = 3.0, C = 2.0, D = 1.0, F = 0
Credit hours associated with each grade: B (13 hours), D (16 hours), C (13 hours)
To calculate GPA,
Convert grades to their point values and calculate the weighted GPA
Point values for the given grades: B (3.0), D (1.0), C (2.0)
To calculate the GPA,
First, convert each grade to its equivalent point value.
For the given grades, we have:
B (13 hours) = 3.0
D (16 hours) = 1.0
C (13 hours) = 2.0
Now, calculate the weighted GPA by multiplying the point value of each grade by the number of credit hours and then summing them up.
In this case, it would be:
(3.0 x 13) + (1.0 x 16) + (2.0 x 13) = 81
Divide the sum of the weighted grade points (81) by the total number of credit hours (13 + 16 + 13 = 42) to get the GPA:
81 / 42 = 1.93
Hence,
Rounding to two decimal places, the GPA would be approximately 1.93.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ4
Is 24/40 equal to four over five a true proportion
Answer:yes it is
hsyhsyxhsyxhsyhxysxys
Answer:
24/40 = 12/20 = 6/10 = 3/5 ...
so no 24/40 does not = 4/5
Step-by-step explanation:
which equation models the same quadratic relationship as function f? f(x)=x^2+12x+4 a) y=(x-6)^2+40 b) y=(x+6)^2-32 c) y=(x-6)^2-32 d) y=(x+6)^2+40
9514 1404 393
Answer:
b) y=(x+6)^2-32
Step-by-step explanation:
Add and subtract the square of half the x-coefficient to put into vertex form.
f(x) = x^2 +12x +4 . . . . . given
y = x^2 +12x +36 +4 -36 . . . . add and subtract (12/2)^2 = 36
y = (x +6)^2 -32 . . . . . . . . . . . write in vertex form
Answer:
B. Y=(x+6)²-32Step-by-step explanation:
hope it helps
NO LINKS!!!!
Compare the function to the parent function y = x^2. Use the key words such as: stretch, shrink, and shift.
3. y = 2(x - 1)^2 - 1
4. y = (x + 4)^2 + 4
9514 1404 393
Answer:
3. vertical stretch by a factor of 2; shift right 1 and down 1
4. shift left 4 and up 4 (no stretch or shrink)
Step-by-step explanation:
The vertex form equation is ...
y = a(x -h)^2 +k
It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.
Compare the the given equations to the above form to see the transformations.
__
3. (a, h, k) = (2, 1, -1) ⇒ vertical stretch by a factor of 2; shift right 1, down 1
4. (a, h, k) = (1, -4, 4) ⇒ no vertical stretch; shift left 4, up 4
I’ll need brainliest
Answer:
I think no B
if wrong correct me pls
I HOPE IT HELPS
HAVE A GREAT DAY
[tex]#Liliflim[/tex]
Answer:
B
Step-by-step explanation:
C=7s
HELPPP PLEASEEESSS
Which best describes the triangle?
acute and scalene
80
right and isosceles
6 in.
6 in.
1)) obtuse and isosceles
50°
50°
7.7 in.
acute and isosceles
Answer:
acute and isosceles
Step-by-step explanation:
Define:
Acute - All angles have a measure of less than 90 degrees
Obtuse - has an angle with a measure of more than 90 degrees
Right - has an angle with a measure of 90 degrees
Scalene - no congruent side lengths or angles
Isosceles - two congruent sides and two congruent angles
Equilateral - all congruent sides and all congruent angles
Identify:
The triangle shown has angles that measure less than 90 degrees which means that it's an acute triangle
The triangle also has two congruent sides and two congruent angles which means that it's an isosceles triangle.
So we can conclude that the triangle can be identified as an acute isosceles
what are the approximate measurements of each given measurement to the nearest centimetre, then find the sum: 16.4 cm + 12.8 mm + 9.6 cm + 14.6 mm
Answer:
54
Step-by-step explanation:
16.4= 16
12.8= 13
9.6= 10
14.6=15
16 + 13 +10 +15 = 54
The Coffee Counter charges $8.00 per pound for Kenyan French Roast coffee and $10.00 per pound for Sumatran coffee. How much of each type should be used to make an 18 pound blend that sells for $9.00 per pound?
The Coffee Counter should mix ___ pounds of Kenyan Roast coffee and ___ pounds of Sumatran coffee to make 18 pounds of a blend that sells for $9.00 per pound.
Answer:
x = 9
y = 9
Step-by-step explanation:
Given :
Let :
Kenyan French roast coffee = x
Cost per x = $8
Sumatran Coffee = y
Cost per y = $10
x + y = 18 - - - - (1)
8x + 10y = 9 * 18 ;
8x + 10y = 162 - - - - (2)
From (1):
x = 18 - y
Put x = 18 - y in (2)
8(18 - y) + 10y = 162
144 - 8y + 10y = 162
2y = 162 - 144
2y = 18
y = 9
x = 18 - y
x = 18 - 9
x = 9
These four numbers are plotted on a number line: -2/3 5/8 -3/5 -1/2 Which is the correct ordering on the number line, from left to right?
Answer:
-2/3 -3/5 -1/2 3/8
..................……
what does it mean if the pA group of participants were given a measure of positive mood after exposure to classical music and then again after exposure to country music. Researchers want to determine if there is a statistically significant difference in the mean test scores based on type of music. The most appropriate statistical test to see if the scores differ is a(n) value is greater than .001
Answer:
Repeated measures(dependent samples t-test).
Step-by-step explanation:
Repeated measures (dependent samples t-test ):-
(Repeated measures dependent sample t-test is a statistical test that is used to found A significant difference in the within-subject design when the same participants go through both the conditions and there are only two conditions. In this scenario there are only two conditions -classical music and country music and every participant is exposed to both making it a dependent sample as the score of one participant on country music corresponds to the score of his on classic music.
Since it has only two variables, ANOVA can't be performed as it is performed to compare the means of more than 2 variables).
Rewrite [tex]sin^25xcos^25x[/tex] simplified using power reduced formulas
Step-by-step explanation:
The power reducing formulas are given by the following:
[tex]\sin^2 x = \dfrac{1- \cos2x}{2}[/tex]
[tex]\cos^2 x = \dfrac{1+ \cos2x}{2}[/tex]
We can then write the given expression as
[tex]\sin^25x \cos^25x[/tex]
[tex]= \left(\dfrac{1- \cos 2(5x)}{2} \right) \left(\dfrac{1+ \cos 2(5x)}{2} \right)[/tex]
[tex]= \dfrac{1}{4}(1- \cos 10x)(1+ \cos 10x)[/tex]
[tex]= \dfrac{1}{4}(1- \cos^2 10x)[/tex]
[tex]= \dfrac{1}{4} \left(\dfrac{1- \cos 20x}{2} \right)[/tex]
or
[tex]\sin^25x \cos^25x= \dfrac{1}{8}(1- \cos 20x)[/tex]
Question 5
Find the volume.
Answer:
6144π ft³ ; 19292.2 ft³
Step-by-step explanation:
The volume of the cylinder Given above :
Volume of cylinder, V = πr²h
r =Radius = 16 ; h = 24 ft
V = π * 16² * 24
V = 256 * 24 * π
V = 6144π
Using π = 3.14
V = 6144 * 3.14 = 19292.16
CPU connect to matherbosrd is through_
Dimm slots
Sicket
PCI slots
CBU
Answer:
I think the answer for this is the Dimm slots
The area of a parallelogram is 108 square inches. What is the length of the parallelogram if the height is 6 inches
Answer:
18
Step-by-step explanation:
Hope this help!!!
Have a nice day!!!
ZB=
Round your answer to the nearest hundredth.
С
B
?
9
А
Answer:
B = 12.84
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin B = opp/ hyp
sin B = 2/9
Taking the inverse sin of each side
sin ^-1 ( sin B) = sin ^-1( 2/9)
B =sin ^-1(2/9)
B =12.83958841
To the nearest hundredth
B = 12.84
What is the decay factor that corresponds to a product that decreases its value first by 20%, and than decreases by 40% of its value, and finally decreases by 62% of its value?
a.
0.22
c.
0.1824
b.
0.0496
d.
0.62
Answer:
c.
0.1824
Step-by-step explanation:
The computation of the decay factor is as follows;
= (1 - decrease percentage) × (1 - decrease percentage) × (1 - decrease percentage)
= (1 - 0.2) × (1 - 0.4) × (1 - 0.62)
= (0.8) × (0.6) × (0.38)
= 0.1824
hence, the decay factor is 0.1824
Therefore the option c is correct
abb
9. Hãy đặt các phán đoán đơn và biểu thị thành phán đoán hợp câu
sau đây: "Nếu bị đau đầu hoặc sốt thì có thể uống thuốc Panadol,
Nếu bị cảm cúm hoặc đau đầu thì có thể uống thuốc Tiffy. Thơm
bị cảm cúm và đau đầu. Do đó Thơm có thể uống thuốc Panadol
hoặc thuốc Tiffy". Hãy xác định giá trị của phán đoán hợp trên.
Answer:i took the test
Step-by-step explanation: 76879686
What is the amplitude of the sine graph shown??????plz help asapppp
Answer:
Amplitude = 2
Step-by-step explanation:
The amplitude is the distance between the midline and the maximum/minimum. Because the midline is located at y=1, then the maximum and minimum are both 2 units apart from the midline. That is your amplitude.
PLEASE HELP ME! It’s easy I just don’t remember.
Answer:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
θ=arccot(x/o)
What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?
Answer:
The base is: [tex]3 \sqrt[3]{4}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{4}(\sqrt[3]{108})^x[/tex]
Required
The base
Expand 108
[tex]f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x[/tex]
Rewrite the exponent as:
[tex]f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x[/tex]
Expand
[tex]f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x[/tex]
[tex]f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x[/tex]
Rewrite as:
[tex]f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x[/tex]
An exponential function has the following form:
[tex]f(x)=ab^x[/tex]
Where
[tex]b \to base[/tex]
By comparison:
[tex]b =3 \sqrt[3]{4}[/tex]
So, the base is: [tex]3 \sqrt[3]{4}[/tex]
19 is 47.5% of what number?
Answer:
19 is 47.5% of 40.
Step-by-step explanation:
First, you have to use the formula is/of=%/100, so since 19 is closest to the word is, 19 will go on the top left, since 47.5% is a percentage it will go on top of 100, finally, 100 always goes on the bottom and x will be the of, since there is no given number for it (19/x=47.5/100). You cross multiply (19x100) then divide it by the remaining number (47.5) then you get your answer of 40.