Sotomayor became the youngest judge in the Southern District and the first Hispanic federal judge in New York State. She became the first Puerto Rican woman to serve as a judge in a U.S. federal court.
1961: Sonia Sotomayor and her younger brother, Juan Jr., with their parents, Juan and Celina, within the family’s Bronxdale Homes apartment, a housing project project.
Sonia Maria Sotomayor was born in City in the borough of the Bronx, where she spent her youth . Her parents, Juan and Celina, were both born in Puerto Rico. Juan was a mill-hand , Celina a nurse. When Sonia was three, shortly after the birth of her brother, Juan, the family moved from a little apartment in the South Bronx to the Bronxdale Homes, a housing project project. From kindergarten through eighth grade, Sonia Sotomayor attended the Blessed Sacrament Parish School. Life reception was difficult, as strained finances and friction between her parents were aggravated by her father’s worsening alcoholism. Little Sonia Maria Sotomayor found refuge in books and within the home of a loving grandmother who lived nearby. At age seven, Sonia Maria Sotomayor was diagnosed with diabetes. Living with this disease taught her self-reliance; she soon learned to sterilize her own needles and inject herself with insulin.
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which is the order from least to greatest of the following: eight sevenths, one sixth, 0.2, thirty two percent?
The order of the fractions in the ascending order is: [tex]\frac{1}{6} < \frac{1}{5} < \frac{8}{25} < \frac{8}{7}[/tex]
What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.Given fractions: 8/7 (eight sevenths), 1/6 (one sixth) , 1/5 (0.2), 8/25 (32%).
Now, here,
[tex]\frac{8}{7} = 1.14[/tex][tex]\frac{1}{6} = 0.1667[/tex][tex]\frac{1}{5}=0.2[/tex][tex]\frac{8}{25}=0.32[/tex]Thus, the order of the fractions in the ascending order is: [tex]\frac{1}{6} < \frac{1}{5} < \frac{8}{25} < \frac{8}{7}[/tex]
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what is the range of values for the measurement 500-+4%
Answer:
480-520.
Step-by-step explanation:
4% of 500 = 500 * 4 / 100 = 20
solve the equation 10 = 5x -15
Answer: x = 5 or YOUR DAD
Step-by-step explanation:
1. Add 15 to both:
10 + 15 = 5x - 15 +15
2. Divide by 5 on both sides:
25/5 = 5x/5
3. Simplify:
5 = x
4. Symmetric Property of Equality:
x = 5
Answer:
Question
solve the equation 10 = 5x -15 The answer is X=5
Step-by-step explanation:
10 = 5x -15
Switch sides5x - 15 = 10
Add 15 to both sides5x - 15 +15 = 10+ 15
Simplify5x = 25
Divide both sides by 55x/ 5 = 25/ 5
And then SimplifyU get x = 5
Hope this helps :)
tolerance is an allowance made for imperfections in a manufactured object. the manufacturer of an oven specifies a temperature tolerance of ±15ºf. this means that the temperature inside the oven will be within 15ºf of the temperature to which it is set. write an absolute value equation to find the maximum and minimum temperatures inside the oven when the thermostat is set to 400ºf. let t represent the temperature inside the oven.
The highest temperature recorded was 415°F(maximum).
At its lowest, the temperature is 385°F(minimum).
How to to find the maximum and minimum temperatures ?The function of absolute value calculates the separation between a point and an origin.
A less-than-compound inequality is represented by:
[tex] |x| \leq a[/tex]
then the solution is
[tex] - a \leq \: x \: \leq \: a[/tex]
according to the question
Temperature T is set to 400°F with a tolerance of 15°F, meaning that the absolute difference between T and 400°F may not be greater than 15°F; in other words:
[tex] |T - 400| \leq \: 15[/tex]
now apply the solution
[tex] - 15 \leq \: T - 400 \leq \:15[/tex]
then simplify this
[tex]T - 400 \ge \: - 15 \\ T \geq \: - 15 + 400 \\ T \geq \: 385[/tex]
[tex]T - 400 \leq \: 15 \\ T \leq \: 15 + 400 \\ T \leq \: 415[/tex]
Hence, The highest temperature recorded was 415°F(maximum).
At its lowest, the temperature is 385°F(minimum).
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WILL GIVE BRAINLIEST
Dillon's hot air balloon decreased its elevation by 18 feet every second. How long will it take him to descend from an altitude of 378 feet?
Step-by-step explanation:
21 seconds. pretty sure
find four consecutive multiples of 4 such that twice he sum of the least and greatest exceeds three times the least by 32.
According to the question, the four consecutive numbers can be written as :
First = [tex]x[/tex]; Second = [tex]x+2[/tex]; Third = [tex]x+4[/tex]; Fourth = [tex]x+6[/tex]
As per the question, the final expression is :
[tex]2((x+2)+(x+4)) = 3(x)+32[/tex]
[tex]4x+12 = 3x+32[/tex]
[tex]x = 20[/tex]
Therefore, the four values can be calculated by substituting the above value:
[tex]x=20; x+2=22; x+4=24; x+6=26[/tex]
The four consecutive numbers are: [tex]20,22,24,26[/tex]
Substitute the calculated values in the final expression, to check whether the answer is correct or not.
[tex]2(22+24) = 3(20)+32[/tex]
[tex]92=92[/tex]
Therefore, the calculated values are correct.
What are consecutive terms?
Consecutive terms are those terms which follow one sequential order.
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Examine the question.
6x−3=Ax−3−2x
What value must A have for the equation to have infinitely many solutions?
A.) -2
B.) 4
C.) 8
D.) 2
Please help need the answer fast
Answer:
of answer 22837 if I am correct
Find the degree measure of each angle in the triangle
Answer:
gooddddd luuuuuuuccccccckkkkk
Answer:
<K = 55 <L = 55 <M = 70
Step-by-step explanation:
As it is an isosceles triangle, Two sides of the triangle will be equal and their angles will be equal too.
L and K are both = (4x + 3)
All angles in a triangle add up to 180
(4x + 3) + (4x + 3) + (5x + 5) = 180
4x + 3 + 4x + 3 + 5x + 5 = 180
13x + 11 = 180
13x = 180 - 11
13x = 169
x = 169/13
x = 13
<K = 4x + 3 = 4(13) + 3 = 55
<L = 4x + 3 = 4(13) + 3 = 55
<M = 5x + 5 = 5(13) + 5 = 70
Solve the equation. First estimate using the perfect square closest to 78 . Then use a calculator. Estimate. n2=78 (the 2 is meaning squared)
- - - - - - - - - - - - - - - - - - - - - - - -
Work below!
- - - - - - - - - - - - - - - - - - - - - - - -
My estimate: 8.8 x 8.8 = 77.44
Calculated answer: 8.8 x 8.8 = 77.44
Why are they the same? Because 78 is simply not a perfect square. Therefore 77.44 must be rounded up to 78.
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Good luck! :)
~pinetreee
The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 12 cases
he constant of proportionality is
enter your response here millimeters per DVD case.
Answer: ---
Step-by-step explanation:
Divide the hight of the stack by 8, multiply that by 12, you should have your answer
Are they similar? Yes or no
Answer:
yesss
Step-by-step explanation:
yes there similar
i think
pls mark brainliest
evaluate the expression
Answer:
16
Step-by-step explanation:
Step 1. Plug the numbers into the equation
Step 2. Solve using PEMDAS
[tex]\frac{6 ( 6 + 2)}{3}[/tex]
[tex]\frac{6 ( 8 )}{3}[/tex]
[tex]\frac{48}{3}[/tex]
16
Answer:
6(a+c)÷b
6(6+2)÷3
6×8÷3
48÷3
16 Ans
Step-by-step explanation 16is the answer
amelia is documenting the height of sunflower plants each week. she has determined the function to be f(x)
According to the given statement the correct option is: D.
Domain, nonnegative values; range, values greater than 3.
How do we define range?The difference between the greatest and lowest values inside one set of integers is known as the range. Subtract the smallest from the greatest value in the set to determine range.
According to the given information:f(x) = 3x + 3
where f(x) is the plant's height and x is the passage of time.
The set of input values is known as the domain and the collection of output values is known as the range.
Because the value of time cannot be negative, the domain has non-negative values.
The lowest possible value of x is 0. Replace x=0 in the provided function.
f(x) = 3x + 3
f(0) = 3(0) + 3
= 3
At x=0, f(x) has a minimum value of 3, or 3. As x increases, function's value rises. Range thus refers to values greater or equal to 3.
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I understand that the question you are looking for is:
Amelia is documenting the height of sunflower plants each week. She has determined the function to be f(x) = 3x + 3, where x represents time and f(x) represents the height of the plant. Which of the following options describes the restrictions to the domain (x) and range f(x) correctly
a. Domain, nonnegative values; range, nonnegative values
b. Domain, nonnegative values; range, values greater than −1
c. Domain, nonnegative values; range, values less than −1
d. Domain, nonnegative values; range, values greater than 3
Given the rule what is the new coordinate? Show all of your work.
Rule: (x, y) → (x - 7.5, y + 6.8)
Original coordinate: (5, 3)
Using translation concepts, the new coordinates are given as follows:
(-2.5, 9.8).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.
For this problem, the rule is given as follows:
(x, y) → (x - 7.5, y + 6.8)
This means that the figure is shifted:
7.5 units left.6.8 units up.The original coordinate is given by:
(5,3), meaning that x = 5 and y = 3.
Applying the rule, we have tat:
5 - 7.5 = -2.5.3 + 6.8 = 9.8.Hence the new coordinates are given as follows:
(-2.5, 9.8).
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slove this 97-29+34-45*3
Answer:
-33
Step-by-step explanation:
answer the question in the photo 50 POINTS!!
Answer:
infinitely many solutions
Step-by-step explanation:
two complementary angles are in a ratio of $3:2$. what is the measure, in degrees, of the smaller angle?
The measure of the smaller angle of the complementary angles is: 36 degrees.
What are Complementary Angles?If the sum of two angles equals 90 degrees, then they are complementary angles.
Given that the ratio of two complementary angles is 3:2, therefor:
3x + 2x = 90
5x = 90
5x/5 = 90/5
x = 18
The smaller angle = 2x = 2(18) = 36 degrees.
The larger angle = 3x = 3(18) = 54 degrees.
Therefore, the measure of the smaller angle of the complementary angles is: 36 degrees.
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Give the digits in the ones place and the tenths place.
80.97
ones:
tenths:
10
X
S
For the given number, the digit at ones place is 0 and at tens place is 8.
What number comes in tenths place?The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.
For the number, 80.97
This number can be written as = 80 + 0.97
The digit at ones place is 0
and digit at tenths place is 8
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if dr. lintz tried to make inferences about the outcomes of individuals based on her data of state legislatures, what mistake would she be making?
A unit of analysis is merely the entity under investigation. This is generally individuals but in case of Dr. Lintz, it really is state legislatures. The variables record information about the legislative bodies themselves, rather than the individuals who make up those bodies.
What is state legislatures?A state legislature is a broad term that refers to the legislative body in any of the 50 states in the United States. The formal name differs from one state to the next.
Some key features regarding the state legislatures are-
Every state (except Nebraska) has a bicameral legislature, which means the legislature is divided into two separate legislative chambers (or "houses"); Nebraska does have a unicameral, or one-chamber legislature. The smaller chamber is called the "Senate" in all bicameral legislatures and is commonly referred to as the "upper house." The smaller chamber generally, but not always, has the exclusive power to approve appointments made by the governor and to attempt articles of impeachment.To know more about the state legislatures, here
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Consider the functions f(x)=-3x=3 and g(x)=-3x+4 find f(8)
Mosquitoes are annoying insects. To eliminate mosquito larvae, a certain granular substance can be applied to standing
water in a ratio of 1 tsp per 15 sq ft of standing water.
a. At this rate, find how many teaspoons of granules must be used for 270 sq ft.
b. If 3 tsp = 1 tbsp, how many tablespoons of granules must be used?
a.
teaspoons of granules must be used.
Answer: a. 18 teaspoons
b. 6 tablespoons
Step-by-step explanation:
a. 1 tsp: 15 sq ft
270 sq ft * 1 tsp/15 sq ft=
270 * 1/15=
270/15=18 teaspoons
b. 3 tsp = 1 tbsp
18 tsp * 1 tbsp/3 tsp=
18 * 1/3=
18/3=6 tablespoons
>
EXAMPLE 3
Marcus is putting new tiles on his kitchen floor. Each file is 1 square
foot. The kitchen floor is 6.1 feet wide and 9 feet long. Exactly how
many tiles will he use?
a) (+12) ÷ (+4)
c) (-18) ÷ (+9)
e) (+72) ÷ (-8)
g) (-14) ÷ (+1)
i) (-27) + (-3)
b) (-15) ÷ (-3)
d) (+81) ÷ (-9)
f) (-64 : (-8
h) (+54) ÷ (-6)
j (+32) + (+4)
Answer:
Hope this helps :)
a) (+12) ÷ (+4) = 3
c) (-18) ÷ (+9) = - 2
e) (+72) ÷ (-8) = - 9
g) (-14) ÷ (+1) = - 14
i) (-27) + (-3) = - 30
b) (-15) ÷ (-3) = 5
d) (+81) ÷ (-9) = - 9
f) (-64 : (-8) =
If the sign is +, then the answer is - 72.
If the sign is ÷, then the answer is positive 8.
If the sign is x, then the answer is positive 512.
If the sign is - , then the answer is - 56.
h) (+54) ÷ (-6) = - 9
j (+32) + (+4) = 36
the driving distance between phoenix and los angeles is 599kilometers. the driving distancce between pheonix and chicago is approximately 2.3 x 10^3. a. which city is nearer to pheonix, los angeles, or chicago
Answer:
Los Angeles
Step-by-step explanation:
If you convert the scientific notation of Chicago (2.3x10³) to regular notation, that would be 2,300 km. Which is further out than LA.
17 added to 4 times a number is 57.
(4n)17 = 57
(17 + 4)n = 57
17 + 4n = 57
17 + 4 + n = 57
Determine the solutions of the equation:
|1/4x+7|-3=24
x= -136 and x = 136
x= -136 and x = 80
x=-112 and x = 80
x= -80 and x = 80
Answer:
x = -136 and x = 80
Step-by-step explanation:
|(1/4)x +7| - 3 = 24
|(1/4)x + 7| = 27 (transpose 3 and it becomes positive)
now:
(1/4)x + 7 = 27 (first solution)
(1/4)x = 20
x/4 = 20
x = 20×4
x = 80
(1/4)x + 7 = -27 (second solution)
(1/4)x = -34
x/4 = -34
x = -34×4
x = -136
Find the weighted average of the points in the line
The weighted average of the points in the line is 7.5
How to find the weighted average of the points in the line?The points are given as
3 and 12
The weighted average of the points in the line is calculated as
Weighted average = Sum/Count
So, we have:
Weighted average = (3 + 12)/2
Evaluate
Weighted average = 7.5
Hence, the weighted average of the points in the line is 7.5
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What is the frequency of the sound? assume vsoundvsoundv_sound =340 m/s=340 m/s .
According to the given statement the frequency of the sound = 693.87h2b.
What is frequency?The frequency of a repeated event is its number of instances per unit of time. In certain cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively. One hertz (Hz) equals one (event) per second, which is how frequencies is expressed. Because it reflects the duration of time for one cycle of a recurring occurrence, the period is the opposite of the frequency. For example, the period, T, of a heart beating at such a frequency of 120 times per minute (2 hertz), is equivalent to 0.5 seconds (60 seconds divided by 120 beats).
According to the given information:let consider Speaker at 2x 1 and the listener at p.
lot wake interfere at pence path difference for interfering phase difference
(2π/λ )Δx₁ = 2πn
When spark move for word, the path difference:
Δx₂ = 0.950
Then phase difference
Δ∅₂ = (2π/1)Δx₂ = 2
Δ∅₂ - Δ∅₁ = (2π/λ)(Δx₂ - Δx₁) = 2π
2π x .49
λ = 0.49
frequency
f λ = Vsound
f = 340/0.49
= 693.87h2b
When separation is Δx₁ = 0.46
Δ∅₁ = 2π/0.49) x 0.46
= 5.993 radian
When separation is w2 = 0.95
it will gives 12.18116 radian.
According to the given statement the frequency of the sound = 693.87h2b.
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conclusions concerning cause-and-effect relationships are only possible when the method is used. a. survey b. experimental c. correlational d. descriptive
Conclusions concerning cause-and-effect relationships are only possible when the method is used by Experimental.
Cause and effect relationship is the concept that states about happening of a particular event causes another event to take place. Cause is the action that makes occurrence of effect. Cause is the reason because of which a event happens and effect is the result of that.
Conducting an experiment can clarify the concept to make it more understandable as conduction the experiment is the cause and the outcome is the effect caused due to experiment.
Other options are not appropriate as co-relational research measures two factors to understand relation without experimenting. Naturalistic observation is observing the happening of the natural surrounding and survey is recording the happening or event. Thus, the correct option is option(d).
The primary reason descriptive/correlational research cannot determine conclusively that variables have a cause-and-effect relationship is because in conducting researchThe researcher can't control occasions or control factors. A correlational report is a quantitative strategy for the look into in which you have at least 2 quantitative factors from a similar gathering of subjects, and you are attempting to decide whether there is a connection between the 2 factors.
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