Answer: t = 22
Step-by-step explanation:
Since GI is a midsegment of ΔHJK, then 2GI = JK
Given: GI = t + 11, JK = t + 44
2(t + 11) = t + 44
2t + 22 = t + 44
t + 22 = 44
t = 22
What is the slope of the line shown below?
We can use the points (-4, 3) and (3, 1) to solve.
Slope formula: y2-y1/x2-x1
1-3/3-(-4)
-2/7
Therefore, the answer is C
Best of Luck!
Answer:
-2/7
Step-by-step explanation:
To find the slope we use the formula
( -4,3) and ( 3,1) are two points on the line
m = ( y2-y1)/(x2-x1)
= ( 1-3)/( 3 - -4)
( 1-3) /(3+4)
-2/7
Please answer is question in two minutes
Answer:
C: 38 units
hope this helps!!
2x=8
so find the value of x
Answer:
x = 4
Step-by-step explanation:
2x/2 = 8/2
x =4
PLEASE HELP ME! I NEED ANSWERS FAST! WILL MARK THE BRAINLIEST!
Answer:
d
Step-by-step explanation:
The correct answer is d because Nora is proving that PS : PR = PT : PQ and we know that PT = 48 and PQ = 48 + 36 so substituting those values into the right side of the equation gives us 48 : (48 + 36).
Answer:
D
Step-by-step explanation:
There are 200 people in a cinema. 25% of the people are men. 1⁄5 of the people are women. The rest of the people are children. Work out how many children are in the cinema.
Answer:
110
Step-by-step explanation:
There are 200 people in a cinema- This is our total amount.
25 % of the people are men.
.25 times 200= 50
There are 50 men.
1/5 (20%) of the people are women.
.2 times 200 = 40
There are 40 women.
50+40 = 90
There are 90 adults in the cinema.
If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.
The percentage is 55%.
The simplified fraction is 11/20.
The decimal is .55
Express each percent as a decimal:
7 1/2%
Answer:
0.075
Step-by-step explanation:
To represent 7 1/2 as a decimal, it would be 0.075 since there are 7 hundredths and half a hundredth.
Myra is evaluating the expression –31.7 + 4.5x, when x = 2.1. –31.7 + 4.5(2.1) –27.2(2.1) –57.12 What was Myra’s error?
Answer:
a negative and a positive
Step-by-step explanation:
always equal a negative
and she put x next to 31.7 when x was not meant to be there
Answer:
She added before multiplying instead of multiplying before adding
Step-by-step explanation:
–31.7 + 4.5x
Let x=2.1
–31.7 + 4.5(2.1)
We multiply before adding
-31.7 +9.45
-22.25
The perimeter of the rectangle is 26
Answer:
9
Step-by-step explanation:
Answer:
9m
Step-by-step explanation:
Let x be the length of the rectangle and P the perimeter
P= 4*2+ 2x
26= 8+2x
18= 2x
x= 9 m
which choice is equivalent to the expression below √-49
49i
7i
-49
7+i
-7
Answer:
7i
Step-by-step explanation:
√-49= √-1*7²= 7√-1= 7i
Answer:
7i
Step-by-step explanation:
The pictogram shows what people ate when they went to a restaurant.
a) 32 people ate chicken.
How many people does
represent?
Chicken
Beef
Fish
Vegetarian
b) Altogether, how many people
went to the restaurant?
pls help
Answer:
Step-by-step explanation: so you calculate how many people ate chicken, beef, fish or are vegetarian then you will add it all together
chicken=128
beef= 80
fish=32
vegetarian=112
128+80+32+112= 352 people ate at the restaurant
Answer:
Altogether, 88 people went to the restaurant.
Step-by-step explanation:
Identify the volume of the composite figure. Round to the nearest tenth. HELP PLS options: 143.8 in ^3 162.7in^3 4,712.4in^3 187.7in^3
Answer:
The volume of the composite figure is 162.7 in^3
Step-by-step explanation:
Here, we have a cylinder placed over a cube
The volume of the cube is L^3
With L being the length of its side = 5
The volume of the cube is 5^3 = 125 in^3
The volume of the cylinder is pi * r^2 * h
with r = 2 in and h = 3 in
The volume of the cylinder = 22/7 * 2^2 * 3 = 37.699 = 37.7 in*3
Total volume is thus;
37.7 + 125 = 162.7 in^3
graph e(x) = √x − 10 .
Answer:
I Believe if so, this is your answer
Step-by-step explanation:
y = e ( x )
OR
y = √ x − 10
Two vectors are said to be parallel if they point in the same direction or if they point in opposite directions.
Part A
Are the vectors v1 = < V3, 1 >and va = <-13, -1 >parallel? Show your work and explain
Part B
Are the vectors Ui =< 2, 3 >and u2 =-3,-2 > parallel? Show your work and explain.
Answer:
When two vectors are parallel, it's because the angles of inclination are equivalent. They are defined by
[tex]\theta = tan^{-1}(\frac{y}{x} )[/tex]
So, we just need to find the angle for each vector and see if they are equivalent.
We have vectors [tex](3,1)[/tex] and [tex](-13,-1)[/tex]. You already can deduce that these vectors are not parallel, because, their divisions are not equivalent.
[tex]\frac{1}{3} \neq \frac{-1}{-13}[/tex]
Which will give different angles in the end.
Let's try the other pair of vectors [tex](2,3)[/tex] and [tex](-3.-2)[/tex]. Their division would be
[tex]\frac{3}{2} \neq \frac{-2}{-3}\\ 1.5 \neq 0.67[/tex]
As you can observe, their divisions are not equivalent, which means their tangents are not equivalent.
Therefore, those vectors are not parallel, because they don't have equivalent angles of inclination, not matter if they are pointing to the same or different direction.
Determine the equation of the line through (1,-2) and (-5,6)
Answer:
Slope: (6 - (-2)) / (-5 - 1) = 8 / -6 = -4/3
Point slope form (i'm using the point (1, -2) but it doesn't matter which one you use): y - (-2) = -4/3(x - 1)
y + 2 = -4/3x + 4/3
y = -4/3x - 2/3
y+2=-4x/3+4/3, y=-4x/3-2/3
So our equation of our line is y=-4x/3-2/3!
At the beach, 14% of people are in the water and 35% are on the sand. If the rest are on the boardwalk, what percentage of people are on the boardwalk
Answer:
51%
Step-by-step explanation:
Add 14% and 35% you get 49%
Take that away from 100%
Answer:
51%
Step-by-step explanation:
All of the percentages must add up to 100%, so we can add up how many percent of the people are already accounted for, and subtract that from 100%.
Doing that we get 14%+35%=49% and 100%-49%=51%
I need help please thanks
Step-by-step explanation:
The answer can be read off the intersection of the graph, which is (1,5), i.e. one unit in x and 5 units in y.
What is the prescribed dosage of a certain medicine for a 6 year old child if the adult dosage of the medicine is 180 milligram? Using formula C= _a__ . A a + 12
Answer:
Child's dosage=60 milligram
Step-by-step explanation:
The correct formula is below
C= a/(a+12) ∙ A
Where,
C = child’s dosage in milligrams
a = age of the child
A = adult dosage in milligrams
a=6 year old
A=180 milligrams
C= a/(a+12) ∙ A
=6/(6+12)*180
=6/18*180
=1/3*180
=60
Child's dosage in milligram=60 milligram
Derek applies grass seed to 2/5 acre in 3/4 hour. How many acrers can Derek cover per hour. (Please show work)
Answer:
8/15 acres per hour
Step-by-step explanation:
To find acres per hour, divide acres by hours:
(2/5 ac)/(3/4 h) = (2/5)(4/3) ac/h = 8/15 ac/h
Derek can cover 8/15 acres per hour.
Use long division to find the quotient below.
(30x3 + 4x2 - 150) = (3x - 5)
A. 10x2 - 24x + 30
B. 10x2 + 24x+ 30
c. 10x2 + 18x+ 30
D. 10x2 - 18x+ 30
PLZZ PLS PLZZZ HELP‼️
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~~
Your answer would be (C) 10x2 + 18x+ 30
~~~~~~~~~~~~~~~~~~~~~~
Hope this helped you!
P . S I would've put the explaintion but it's to long.
Pat picked a card from a standard deck, looked at it, and then put it back. He then picked a second card. What is the probability that Pat pick a diamond or a jack on either pick
Answer: 17/52
Step-by-step explanation:
There are 52 total cards in a standard deck.
The number of diamonds in a deck of cards is 13 and there are 4 jacks in a deck of cards.
So the propabibilty of Pat picking a diamond is 13/52 and the probability of Pat picking a jack is 4/52. Now you have to add the two probabilities together.
You do not remove any digits because Pat put the card back into the deck, he didn't take it away. So we do not take away from the total
13 + 4 = 17
You do not need to change the denominator cause 52 is the same.
So 17/52 is the probability of Pat picking a diamond or a jack
I hope this helped!
i do not understand this , please help!
Pauline, Patricia and Polly are pie bakers at their bakery, Perfect Pies. They bake four different pie flavors: cherry, blueberry, apple and pecan. I understand question #1 but I need someone to help with questions 2-6 please.
Answer:
The answer is given below
Step-by-step explanation:
1) The persons are given by the matrix:
The number of different pie flavours is given by the matrix:
[tex]n=\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right][/tex]
The cost of ingredients for each pie is given by the matrix:
[tex]I=\left[\begin{array}{ccc}3\\5\\2\\6\end{array}\right][/tex]
2)
[tex]\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right] \left[\begin{array}{ccc}3\\5\\2\\6\end{array}\right] \\\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{ccc}37\\92\\50\end{array}\right][/tex]
3) The cost of pie for Patricia = $92
The total cost of pie for all bakers = 37 + 92 + 50 = $179
The ratio of cost of Patricia pie to that of all three bakers = $92/$179 = 0.514
Patricia pie cost of ingredients is more than half of that of all three bakers
4)
The price of pie at Samuels sweet is represented by the matrix:
[tex]SA=\left[\begin{array}{ccc}8\\10\\7\\12\end{array}\right][/tex]
The income of each baker made by selling at samuels sweets is:
[tex]\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right] \left[\begin{array}{ccc}8\\10\\7\\12\end{array}\right] \\\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{ccc}83\\208\\119\end{array}\right][/tex]
The price of pie at Sugary Sarah is represented by the matrix:
[tex]SS=\left[\begin{array}{ccc}8\\9\\8\\13\end{array}\right][/tex]
The income of each baker made by selling at Sugary Sarah is:
[tex]\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right] \left[\begin{array}{ccc}8\\9\\8\\13\end{array}\right] \\\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{ccc}81\\212\\126\end{array}\right][/tex]
5) Patricia yielded the greatest income. She made $208 + $212 = $420
6) Polly made $126 from selling at Sugary Sarah
In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 equals=not attractive; 10 equals=extremely attractive). find the range, variance, and standard deviation for the given sample data. can the results be used to describe the variation among attractiveness ratings for the population of adult males
Answer:
hello the data is missing but it is included in the explanation below
missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
Answer :
A) range = 9 , variance = 8.3015, standard deviation = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
Step-by-step explanation:
A ) calculate the Range, variance and standard deviation
The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
i) Range = difference between largest and smallest values
= 10 -1 = 9
ii) variance = summation of ; (xi − x)^2/n-1
= 207.5385/26−1 ≈ 8.3015
iii) standard deviation = [tex]\sqrt{variance}[/tex]
= [tex]\sqrt{8.3015}[/tex] = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
It costs $20 for each metre of
border edge for a rectangular area.
What is the greatest area someone can enclose by spending $4500?
Given the following logarithmic equation, think about how you would solve each one. Now,
describe those processes using at least 3 to 4 sentences. Then solve, showing your work.
Equation 1: log2 + logx = log3
Answer: x = 3/2
Step-by-step explanation:
log (2) + log (x) = log (3) Given
log(2x) = log(3) Condensing log rules
2x = 3 Cancellation log rule
[tex]x=\dfrac{3}{2}[/tex] Division Property
Help would be appreciated.
Answer:
Step-by-step explanation:
1). f(x) = x² - 9
g(x) = x - 3
h(x) = f(x) ÷ g(x)
= [tex]\frac{x^2-9}{x-3}[/tex]
= [tex]\frac{(x+3)(x-3)}{(x-3)}[/tex]
= (x + 3)
2). f(x) = x² - 4x + 3
= x² - 3x - x + 3
= x(x - 3) - 1(x - 3)
= (x - 1)( x- 3)
g(x) = x - 3
h(x) = f(x) ÷ g(x)
= [tex]\frac{(x-1)(x-3)}{(x-3)}[/tex]
= (x - 1)
3). f(x) = x² + 4x - 5
= x² + 5x - x - 5
= x(x + 5) - 1(x + 5)
= (x - 1)(x + 5)
g(x) = x - 1
h(x) = f(x) ÷ g(x)
= [tex]\frac{(x-1)(x+5)}{(x-1)}[/tex]
= (x + 5)
4). f(x) = x² - 16
= (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]
g(x) = (x - 4)
h(x) = f(x) ÷ g(x)
= [tex]\frac{(x-4)(x+4)}{(x-4)}[/tex]
= (x + 4)
Answer:
Step-by-step explanation:
1). f(x) = x² - 9
g(x) = x - 3
h(x) = f(x) ÷ g(x)
=
=
= (x + 3)
2). f(x) = x² - 4x + 3
= x² - 3x - x + 3
= x(x - 3) - 1(x - 3)
= (x - 1)( x- 3)
g(x) = x - 3
h(x) = f(x) ÷ g(x)
=
= (x - 1)
3). f(x) = x² + 4x - 5
= x² + 5x - x - 5
= x(x + 5) - 1(x + 5)
= (x - 1)(x + 5)
g(x) = x - 1
h(x) = f(x) ÷ g(x)
=
= (x + 5)
4). f(x) = x² - 16
= (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]
g(x) = (x - 4)
h(x) = f(x) ÷ g(x)
=
= (x + 4)
Instructions: Find the following information using the given image.
X=
Answer:I would say it’s 52in
Step-by-step explanation:
Please help me with this question!!!!!! PLEASE.
Answer:
B. -9, 7
Step-by-step explanation:
For the rational expression to be undefined the denominator has to equal 0.
x² + 2x - 63 = 0
Factor left side.
(x - 7)(x + 9) = 0
Set factors equal to 0.
x - 7 = 0
x = 7
x + 9 = 0
x = -9
x = -9 or x = 7
Answer:
B
Step-by-step explanation:
A rational expression is undefined when the denominator of the expression equals 0 (this is because anything over 0 is undefined). In other words, to find the values for which the given expression is undefined, we simply have to find the zeros of the denominator. We can ignore the numerator. Thus, let:
[tex]0=x^2+2x-63[/tex]
This is now a quadratic. Solve for the quadratic. I will factor but you can do whatever you like (complete the square, quadratic formula, etc.).
We notice that two factors that multiply to -63 and also add to +2 is 9 and -7. Thus:
[tex]0=(x+9)(x-7)[/tex]
[tex]x+9=0 ; x=-9[/tex]
[tex]x-7=0; x=7[/tex]
The zeros are -9 and 7.
The denominator will equal 0 at these values, and the expression will be undefined.
Find the measure of the arc.
с
A
146° E
B
mEF = [ ? 1°
Explanation:
Let point G be the center of both circles. Angle EGF is shown to be 146 degrees. This is a central angle of the orange circle that subtends, or cuts off, minor arc EF. This is the shortest distance along the edge of the orange circle. The measure of the central angle is exactly equal to the measure of the arc. This is simply by definition. Minor arc EF is 146 degrees as it is a portion of the entire distance around the orange circle. The fractional portion is 146/360 = 73/180.
Drag each tile to the correct box. Not all tiles will be used.
Answer:
3rd box, last box, 2nd box, 5th box in that order
Step-by-step explanation:
PEMDAS
Answer:
3, 7, 2, 5
Step-by-step explanation:
You will get the answer by solving it with PEMDAS :)