Answer:
13 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (4, - 9 )
d = [tex]\sqrt{(4-(-1))^2+(-9-3)^2}[/tex]
= [tex]\sqrt{(4+1)^2+(-12)^2}[/tex]
= [tex]\sqrt{5^2+144}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13
Step-by-step explanation:
the other answer is correct.
just a few words about the why :
when you look at 2 points on the coordinate grid, then the distance between them creates a right-angled triangle.
the direct distance is the Hypotenuse (the baseline opposite of the 90° angle).
and the x-coordinate difference and the y-coordinate difference are the legs of that triangle.
and then we can use Pythagoras
c² = a² + b²
c = sqrt(a² + b²)
with c being the Hypotenuse.
and you see, that is exactly the so-called distance formula the other answer used.
(giving brainliest and 40 points) a package of trail mix weighs \frac {7}{8} pound. raisins make up \frac {1}{10} of the trail mix. how much of the trail mix, in pounds, is raisins? move numbers to the boxes to show the answer. if there is no whole number, enter () in the first box. \frac {\square }{\square } 0 1 7 8 10 18 39 40 70 80
Answer:
7/80 lb
Step-by-step explanation:
We are given that 1/10 of the 7/8 pound package is raisins.
__
The weight of raisins is ...
(1/10)(7/8 lb) = 7/80 lb
A group of researchers want to determine whether type of psychotherapy has an effect on the number of PTSD symptoms in refugees. Specifically, they wan to determine if MDMA, a hallucinogenic drug given in a one-time dose, has a greater effect on reducing PTSD symptoms in refugees than the standard PTSD treatment or a placebo control. The researcher randomly assigns 60 people to 1 of the 3 treatment conditions. What is the alternative hypothesis in notation form? u1 =/ u2 =/ u3 p > 0 u1 = u2 = u3 It cannot be written in notation form.
The option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.
What are the null hypothesis and alternative hypothesis?The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.
We have:
A group of researchers wants to determine whether the type of psychotherapy has an effect on the number of PTSD symptoms in refugees.
As we can see in the problem, there are three treatment conditions are given.
Alternative hypothesis H₁: Not all means are equal
[tex]\rm H_0: \mu_1\neq \mu_2\neq \mu_3[/tex]
Thus, the option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.
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PLS HURRY ON CURRENTLY I WILL GIVE BRAINLIST
A box plot is titled Daily Reading Time and labeled Time (min). The left most point on the number line is 15 and the right most point is 55. The box is labeled 21 on the left edge and 48 on the right edge. A vertical line is drawn inside the rectangle at the point 37. The whiskers are labeled as 16 and 53
What information is provided by the box plot? (3 points)
The mean for the data
The median for the data
The number of students who provided information
The number of students who read for more than 21.5 minutes
Answer:
The right one is ........
Evaluate f(8): f(x) = x²-4
Answer:
60
Step-by-step explanation:
[tex]\begin{aligned}f(x) & =x^2-4\\\implies f(8) & =(8)^2-4\\& =64-4\\& =60\end{aligned}[/tex]
2. Determine the principal that will earn $294 in 5 years at 6% per annum simple interest.
Answer:
state the formula which is S.I =P×T×R
A basketball team has 15 members, and 18 of them are sixth graders what percentage of the team is in sixth grade?
Answer:
120% are sixth graders
But, If you meant to say 18 basketball players and 15 6th graders, the percentage would be around 83.3%
A brick layer can build a wall in 6 hours and his apprentice would need 16 hours to build the same wall. When they work together, the apprentice works 5 hours longer than the brick layer. How many hours does each work
Answer:
Step-by-step explanation:
The brick layer builds ( 1 wall ) / ( 6 hrs )
That's the same as ( 1/6 wall ) / ( 1 hour )
------------------------------------
The apprentice builds ( 1 wall ) / ( 16 hrs )
That's the same as ( 1/16 wall ) / ( 1 hour )
--------------------------------------
Let t = the time that the brick layer works
t + 5 = the timer the apprentice works
-----------------------------------------
( brick layer's rate ) x ( brick layer's time ) +
( apprentice's rate ) x ( apprentice's time ) = 1
( 1 is the whole job )
-----------------------------------------
(1/6) · t + (1/16) · (t + 5) = 1
Multiply both sides by 48
8t + 3t + 15 = 48
11t = 33
t = 3
t + 5 = 8
the brick layer works 3 hrs
The apprentice works 8 hrs
----------------------------
Check:
(1/6) · t + (1/16) · (t + 5) = 1
(1/6) · 3 + (1/16) · (3 + 5) = 1
1/2 + 1/2 = 1
OKMy son would like to know what is the solution to Pi and i don't even know so I someone to help me with this!
Answer:
3.14285714Step-by-step explanation:
[tex] \frac{22}{7} = 3.14285714[/tex]Stay safe, stay healthy and blessed.Stay safe, stay healthy and blessed.Have a good day !Stay safe, stay healthy and blessed.Have a good day !Thank youHelp pls!!!!! Quickly pls worth 100 points!!!!!!!!!
Answer:
[tex]\sf m = \dfrac{2}{5}[/tex]
Explanation:
A system of equations will have no solution when:
1st equation = y = ax + b2nd equation = y = ax + cMeaning they shall have the same slope but different constant.
Here given:[tex]\sf y = \dfrac{2}{5} x - 7[/tex] Here slope: 2/5 and constant: -7
Another equation:
[tex]\sf y = \dfrac{2}{5} x + 3[/tex] Has the same slope but different constant.
Answer:
m = 2/5
Step-by-step explanation:
Understanding :
A system of equations have no solutions when they do not cross/intersect each other at any point.
This is only possible when the slopes of the lines are equal.
Solution :
Hence,
m = 2/5Dorothy is trying to lose weight. She is exercising and eating right
every day. She started out with a weight of 203 pounds. Each day, she
loses 1.5 pounds. What is her weight after 21.5 days? Round your
answer to the nearest tenth of a pound.
I accidentally deleted the thing that said answer but the answer is 170.7
Step-by-step explanation:
You multiply 1.5 times 21.5 you get 32.25 then you round and get 32.3 lastly you do 203 minus 32.3 to get 170.7.
A certain radionuclide is used to diagnose lymphoma. an atom of this radionuclide contains 31 protons and 36 neutrons. which statement is correct about the radionuclide? the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a. the atomic number is 31, the mass number is 67, and its symbol is superscript 31 subscript 67 baseline upper g a. the atomic number is 67, the mass number is 31, and its symbol is superscript 67 subscript 31 baseline upper g a. the atomic number is 67, the mass number is 31, and its symbol is superscript 31 subscript 67 baseline upper g a.
The statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.
To answert the question, we need to know what an atom is.
What is an atom?An atom is the smallest indivisible part of a substance. It is represented by letters.
It has an atomic number which is the number of protons or electrons present in an atom and is written as a subscript in from of the letter symbol.It has a mass number which is the number of protons plus neutrons in an atom and is written as a subscript in from of the letter symbol.So, since the atom of this radionuclide contains 31 protons and 36 neutrons.
So, its atomic number is 31. Its mass number is number of protons + number of neutrons = 31 + 36 = 67. Its symbol is superscript 67 and subscript 31.
So, the statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.
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GUYS PLEASE HELP LIKE ASAP
What is the mean, median, mode, and range of the
following data set? Be sure to label which
measurement you are referring to.
7,9,6,9, 7, 4,7
Answer:
if im not wrong all answers are 7
Step-by-step explanation:
if you add all the numbers u get 49 and if u divide by 7 cuz u have seven numbers. you should get 7 thats you mean. then for median if u put them from least to greatest ur middle number would still be seven and then your mode would be seven since seven shows up the most.
14. Which of the following is true about given APQR given in Figure 7.82 to the right? a. p²+q²=² b. q²+r²=p² c. (p+q)²=r² d. p²+r²=q² Q P R T 9 Figure 7.82 P
Rectangle QUAD has coordinates Q(0,0), U(0,), A(,), and D(,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor . What are the coordinates of point D'?
The coordinates of point D' are (36,0).
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
QUAD has coordinates Q(0,0), U(0,3), A(6,3), and D(6,0).
The scale factor for Q'U'A'D' is 6.
So, the coordinates of Q'U'A'D' after dilation is:
Q'(0,0), U'(0,3*6), A'(6*6,3*6), and D'(6*6,0).
and Q'(0,0), U'(0,18), A'(36,18), and D'(36,0).
Hence, the coordinate of D' is (36,0).
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Calculate the area of ABC
There's a mistake in the picture - AC is 5cm too
A segment in the complex plane has a midpoint at 7 – 2i. if the segment has an endpoint at 11 – 3i, what is the other endpoint? –10 –2i 3 – i 9 – 2.5i 18 – 4i
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{11}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +11}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right)~~ = ~~\stackrel{\stackrel{midpoint}{\downarrow }}{(7~~,~~-2}) \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{ x +11}{2}~~ = ~~7\implies x+11=14\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}~~ = ~~-2\implies y-3=-4\implies y=-1\implies y=-1i\implies \boxed{y=-i}[/tex]
Log5(2x)=4 can u please help me im bout to take a test
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: log_{5}(2x) = 4[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x= {5}^{4} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2x= 625[/tex]
[tex]\qquad \sf \dashrightarrow \: x= 625 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 312.5[/tex]
I Hope you understood the procedure ~
Andy was practicing for a marathon. Each week he ran, he increased his distance by 3 km. If he ran 8 km the first week, after how many weeks will he be able to run 29 km?
Answer:
Week 8
Step-by-step explanation:
week 1 8
week 2 11
week 3 14
week 4 17
week 5 20
week 6 23
week 7 26
week 8 29
Match the correct corresponding parts. Make sure your letters are in the correct order!!
SAT~GRE
Answer:
Step-by-step explanation:
Please help if you know!
Answer:
2.5 cups
Step-by-step explanation:
[tex]\frac{2}{12} =\frac{x}{15}[/tex] (x is the amount of cups of zucchini you will need to feed 15 people)
This proportion is showing that 2 cups of zucchini can feed 12 people, and we will use it to find how much zucchini we will need to feed 15 people.
Cross multiply
30 = 12x
divide both sides by 12 to isolate x
[tex]\frac{30}{12}[/tex] = x
2.5 = x
That is your answer
- Kan Academy Advance
The graph below represents data that was collected by students on the
number of social media posts they made the previous day.
SOCIAL MEDIA POSTS
umber of Students)
2
g
Question: what was the mean number of posts made?
The mean is the ratio of the actual number of observations to the sum of the observations. Then the mean will be 2.5.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency. Arithmetic mean is a term used to describe the average.
The graph below represents data that was collected by students on the number of social media posts they made the previous day.
Then the mean will be
The sum of the observation will be
Observation sum = 4 + 2 + 2 + 3 + 3 + 2 + 1 +3
Observation sum = 20
Then the mean will be
Mean = 20/8
Mean = 2.5
More about the mean link is given below.
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how to draw a model of 2 divided by 1/4
Answer: Answer below
Step-by-step explanation:
just draw 2 rectangles and draw 3 lines in each one to make 4 equal sections
Please help thanks!!!!!!
Answer:
See below ~
Step-by-step explanation:
Subpart (e) :
⇒ New volume = 2 x 3 x 2 x 4 x 2 x 5
⇒ New volume = 8 x 60
⇒ New volume = 480 in³
=============================================================
Subpart (f) :
⇒ New volume : Original volume
⇒ 480 : 60
⇒ 1 : 8
=============================================================
Subpart (g) :
Step 1
⇒ SA = 2(6 × 9 + 9 × 11 + 6 × 11)
⇒ SA = 2(54 + 99 + 66)
⇒ SA = 2(219)
⇒ SA = 438 in²
Step 2
⇒ V = 6 × 9 × 11
⇒ V = 54 × 11
⇒ V = 594 in³
Step 3
⇒ New SA = 2 x 438
⇒ New SA = 876 in²
Step 4
⇒ New : Original
⇒ 876 : 438
⇒ 2 : 1
Step 5
⇒ New V = 2³ x 594
⇒ New V = 8 × 594
⇒ New V = 4752 in³
Step 6
⇒ New : Original
⇒ 4752 : 594
⇒ 8 : 1
Click “show your work” and graph the absolute value function shown below. f(x) =|x – 4| + 1
Answer: here u go
Step-by-step explanation:
What is the measure of ZRMN?
1179
M
R
N
[Not drawn to scale)
2270
639
1170
1639
у= 1/5x -4 #1
у= -4/1х + 3 | #2
X
y
у
the left is number 1 graphed. middle is number 2.
right is number 3.
PLEASE HELP ME SOLVE THIS!!
Answer:
x = 18
Step-by-step explanation:
Let's find x :-
[tex] {x}^{2} - 11 + 3 = 180^{o} [/tex]
[tex] {x}^{2} - 8x = 180[/tex]
[tex] {x}^{2} = 8x - 180 = 0[/tex]
[tex](x - 18)(x + 10)[/tex]
[tex]x = 18[/tex]
Write a system of inequalities using the given graph
For dark line
(0,1)(-1,-4)Slope
m=-4-1/-1=5Equation in point slope form
y-1=5xy=5x+1Put (0,0)
0<1As line is dark sign is ≤
The inequality
y≤5x+1For dashed line
(2,0)(0,-2)Equation in intercept form
x/2-y/2=1x-y=2y=x-2Put (0,0)
0>-2Symbol is >
Inequality is
y>x-2(r^-7)^6 im looking for anwser
Answer:
( r^-7 )^6 = r^-42 ( in exponential form )
( or )
1 / r^42 ( in fractional form )
Step-by-step explanation:
( r^-7 )^6
Formula : -
( a^m )^n = a^( mn )
Here,
a = r
m = - 7
r = 6
mn
= - 7 * 6
= - 42
Hence,
( r^-7 )^6 = r^-42 ( in exponential form )
( or )
( r^-7 )^6 = 1 / r^42 ( in fractional form )
please help mehhhh quick
Answer:
A
Step-by-step explanation:
If you read the sentences aloud, A is the only answer that makes grammatical sense, since colons are short pauses in sentences, much like commas. Colons are also commonly used for the beginning of a list, as shown here.
Hope this helped!