Answer:
one million eight hundred ninety-six thousand twenty-five
Frederick's salary varies directly with the hours he works. Last week I earned $ 328.30 and worked 33.5 hours. If he works 35 hours this week, what will be his salary from him?
Answer:
His salary will be of $343.
Step-by-step explanation:
Frederick's salary varies directly with the hours he works.
This means that this question can be solved by proportions, using a rule of three.
We have that:
For 33.5 hours, he earned $328.30. How much he earns for 35 hours?
33.5 hours - $328.30
35 hours - $x
Applying cross multiplication:
[tex]33.5x = 328.30*35[/tex]
[tex]x = \frac{328.30*35}{33.5}[/tex]
[tex]x = 343[/tex]
His salary will be of $343.
A and B are similar solid cylinders base area of A : base area of B = 9 : 25
complete these ratios
curved surface area of A : curved surface area of B : = ? : ?
height of A : height of B = ? : ?
Answer:
Two figures are similar if the figures have the same shape but different sizes.
Then if we have two figures X and X'
Such that one dimension of X is D, the correspondent dimension on X' will be:
D' = k*D
Such that k is the scale factor that relates the figures.
1:k
Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:
S' = k^2*S
then the ratio of the surfaces is:
1:k^2
While the relation between the volumes will be:
V' = k^3*V
Here the ratio is:
1:k^3
Ok, in this case we have two cylinders
We know that the ratio between the base area ( a surface) is:
9:25
a) We want to find the ratio: curved surface area of A : curved surface area of B
Because again we have a surface area, the ratio should be exactly the same as before, 9:25
b) height of A : height of B
In this case, we have a single dimension.
Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:
9:25
is related to k^2
Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:
√9:√25
3:5
This is the ratio of the heights.
Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.
(3/3):(5/3)
1:(5/3)
Then:
k = 5/3
Four friends were born in consecutive years. The sum of their ages is 62.
What is the age of the oldest friend?
Answer:
4+62=66
Step-by-step explanation:
Helppppp! What is the value of 5^3i^9
Answer:
125i.
Step-by-step explanation:
5^3 is 125 i^2 is -1 so i^8 is positive and you have 1 i left.
Giving the brainliesttt
What is the range when the domain is
A) -8
B) -4
C) 4
D) 0
E) 10
Not sure what the answer is?
Answer:
I think you are correct
hope it is helpful to you ☺️☺️☺️☺️
Answer:
O think you are correct . answer is 18 only.......
Step-by-step explanation:
Hope it helps you
A line is parallel to the line y=-2/3x+1 and it passes through the point (4,-1). Determine the slope of the line.
A) m=2/3
B)m=-3/2
C)m=-2/3
D)m= 3/2
Answer:
C) m=-2/3
Step-by-step explanation:
Parallel slope means it'll be the same.
m = -2/3
write an equation of the line that passes through the given points (-1,3.5),(1,-0.5), (3,-4.5)
You can download the answer here
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
y = -2x + 1.5
Step-by-step explanation:
line that passes through the given points (-1,3.5),(1,-0.5), (3,-4.5)
slope (m) = (-0.5 - 3.5) / (1 - -1) = -4 / 2 = -2
(y - -4.5) / (x - 3) = -2 ... pass (3,-4.5)
y + 4.5 = -2x +6
y = -2x + 1.5
Which situation can be modeled by the expression 4 divided 1/3
Answer:
4
Step-by-step explanation:
4/1x 3/1 =12/1=4
write a quadratic equation in the form x^2+bx+c=0 that has the following roots: {-7,6}
Answer:
f(x) = x^2 -12x + 85
reverse engineer this, like Prof. Sheldon Cooper figuring out Howard's card trick
x=6+or - 7i
x-6 = + or - 7i
square both sides
(x-6)^2 = -49
x^2 -12x + 36 = -49
x^2 -12 + 85
Can someone pleaseeee help me
Answer:
a). Common difference = 4
b). [tex]T_n=4n+3[/tex]
c). 51st term = 207
Step-by-step explanation:
Given arithmetic sequence is,
7, 11, 15, 19......
a). Common difference = Second term - First term
= 11 - 7
= 4
b). nth term of an arithmetic sequence is given by,
[tex]T_n=a+(n-1)d[/tex]
Here, n = number of term
a = First term
d = common difference
By substituting the values in the given formula,
[tex]T_n=7+(n-1)4[/tex]
[tex]T_n=4n+3[/tex]
c). 51st term of the sequence will be,
[tex]T_{51}=7+(51-1)4[/tex]
= 7 + 200
= 207
Choose the sentence that is out of sequence.
Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.
Answer:
C.
Step-by-step explanation:
A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.
StartLayout Enlarged left-brace first row (x minus 20) squared + (y minus 14) squared less-than-or-equal-to 625 second row (x + 8) squared + (y minus 3) squared less-than-or-equal-to 196 EndLayout
Which location relative to Columbia felt both earthquakes?
4 km west and 12 km south
6 km west and 4 km north
2 km east and 10 km north
6 km east and 8 km north
Answer:
2 km east and 10 km north
Step-by-step explanation:
I did the activity and got the right answer.
By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north
Which location will feel both earthquakes?
Here we have the inequalities:
(x - 20)^2 + (y - 14)^2 ≤ 625
(x + 8)^2 + (y - 3)^2 ≤ 196
Where, x is the distance due east, and y is the distance due north.
So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:
x = -4
y = -12
Replacing that on the first inequality we get:
(-4 - 20)^2 + (-12 - 14)^2 ≤ 625
1,252 ≤ 625
This is false, so this option is not correct.
Now we just need to check the other options. Particularly for the third we have:
x = 2
y = 10
Replacing that in both inequalities we get:
(2 - 20)^2 + (10 - 14)^2 ≤ 625
340 ≤ 625 (true).
(2 + 8)^2 + (10 - 3)^2 ≤ 196
149 ≤ 196 (true)
So at 2km east and 10km north of Columbia, the two earthquakes can be felt.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show math pls!!!)
I would rlly appreciate it if y’all help me! :)
Answer:
10√5 - 5√2
or
5(2√5 - √2)
Step-by-step explanation:
Given:
2√5(5 - 5√5)
Required:
Multiply and simplify
Solution:
2√5(5 - 5√5)
Apply distributive property by multiplying each term in the bracket by 2√5
2√5*5 - 2√5*5√5
2*5√5 - 2*5√5*√5
10√5 - 10√25
10√5 - 10*5
10√5 - 50
10√5 - (25*2)
10√5 - 5√2
Or
5(2√5 - √2)
Match the appropriate transformation with the appropriate rule.
Answer:
i only know one, which is c and 2
Step-by-step explanation:
1/2x+8=20 what does x equal
Answer:
x=24
Step-by-step explanation:
1/2 x + 8 =20
x/2 + 8= 20
Ms.schmidt gav her students the list of number shown below
Step-by-step explanation:
Can you re-do it and send like an example for it THANK YOU SM
Math people please answer me this please fast!!!!!
Answer:
Wait nvm sorry point A is at (1,-5) so the answer is B
Step-by-step explanation:
A parachutist's speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 2 seconds of free fall? Do not round your answers. Speed: 50ms Distancefallenin2seconds: 1,000m
pls hurry exam
Answer:
Speed of the parachutist is meters per second [tex]2.083[/tex] meter per second
Distance travelled in 2 seconds [tex]4.167[/tex] meter
Step-by-step explanation:
Speed of the parachutist is kilometers per hour = 180
Speed of the parachutist is meters per second [tex]\frac{180*1000}{24*60*60} = 2.083[/tex] meter per second
Distance travelled in 2 seconds [tex]2.083 *2 = 4.167[/tex] meter
Which of the following values is not changed by moving the center of an ellipse? a or b b c a, b or c
Answer:
a, b or c
Step-by-step explanation:
Teagan was playing Trouble and recorded the number
of times she rolled a 6. During the game, she was
successful 5 times out of the 25 times she tried.
What was the experimental probability of rolling a 6 in
the game? Write your answer in decimal form.
Answer:
20%
Step-by-step explanation:
Think about it. 100 divided by 25 is four so just multiply 5 times 4 and you got 20. giving you the probability of 20%. Your Welcome! And I'm not a genius it's just simple math.
What is 24 – 6х3+52 - (16+ 2)?
ОА.
9
ОВ.
23
Ос.
71
OD.
496
Answer:
40
Step-by-step explanation:
24 – 6х3+52 - (16+ 2)
PEMDAS states we do the paranthesis 1st
24 – 6 х 3 + 52 - (18)
Next, we do the multiplication
24 - 18 + 52 - 18
Since it's just adding & subtracting, we go from left to right
40
graph the function y=x3+3x2-1. based on the graph what is the least possible x-value if y=0? round your answer to the nearest hundredth, if necessary
o -2.88
o -2.00
o -0.65
o -0.53
Answer:
-2.88
Step-by-step explanation:
When graphed Y=0 crosses the X-axis three times
X= -2.88, -0.65, 0.53
Answer:
It's A on edge or -2.88
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST!
Answer:
128 boxes
Step-by-step explanation:
The dimensions of the trunk is 24 in. by 24 in by 48 in
The volume = 24(24)(48) = 27648 cu. in.
The cubed boxes each have a volume of 6(6)(6) = 216 cu. in.
27648/216 = 128 boxes
please soleeeeeeeeeeeeèeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Answer is 99. I am pretty sure.
I posted 2 question of this but nobody answered first answer gets brainliest and a thanks and 5 stars and 20 points and do all of them or half no links ASAP guessers will be reported
Answer:
14. 13.65
15. 7.53
17. 0.0371
18. 0.81
19. 0.864
Here are some answers! Hope this helps
Which function represents a quantity growing exponentially?
A y = 2(0.5)
В y = 0.5(2)
C y = 2(0.5)2X
D y = 6)
Answer: c
Step-by-step explanation:
Find the 12th term of the geometric sequence 5, –25, 125, ...
HELP ASAP WILL NAME BRAINLEST
Step-by-step explanation:
[tex]U _{ {12}^{th} } = a {r}^{(n - 1)} \\ = 5 \times {5}^{12 - 1} \\ = 244140625 \\ {12}^{th} \: term \: is \: 244140625[/tex]
In the triangle below,
x = [? ] cm. Round to the
nearest tenth.
y
X
90°
20
10 cm
X=?
Answer: y ≈ 10.6 cm
Step-by-step explanation:
The cosine function relates the adjacent side to the hypotenuse in a right triangle. The side adjacent to the 20° angle is 10 cm.
cos(20°) = (10 cm)/y
y = (10 cm)/cos(20°)
y ≈ 10.6 cm
The approximate value of the variable x will be 3.64.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The base of the right angle triangle is 10 cm, the perpendicular is x, and the hypotenuse is y.
Then the value of y will be given by the cosine of angle 20°.
cos 20° = 10/y
y = 10.64 cm
The approximate value of the variable x is given by the Pythagoras theorem.
H² = P² + B²
10.64² = x² + 10²
113.25 = x² + 100
x² = 113.25 – 100
x² = 13.25
x = 3.64
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ5
In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic
inches. What is the ratio of their diameters?
2:3
413.5
2:9
4:13.5
Answer:
2:3
Step-by-step explanation:
V = 4/3*pi*r^3
Diameter = 2r
The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.
The upper number is called as the numerator and the lower is called the denominator.
For example, 3/4 where 3 will be numerator and 4 will be denominator.
Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.
Now volume of planets(sphere) = πD³/6 where D is diameter of sphere
So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³
⇒ V₁/V₂ ∝ (D₁/D₂)³
Given that V₁/V₂ = 8/27
So 8/27 = (D₁/D₂)³
D₁/D₂ = 2/3
Hence, the ratio of diameters of two planets will be 2/3.
Learn more about Ratio here:
brainly.com/question/1504221
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