I have $5$ different mathematics textbooks and $4$ different psychology textbooks. In how many ways can I place the $9$ textbooks on a bookshelf, in a row, if there must be a psychology textbook exactly in the middle, and there must be a mathematics textbook at each end?
Answer:
What
Step-by-step explanation:
You can’t have more than 2 combinations with £9
2) Simplify: 4/3+3/5+-3/5+-11/3
Answer:
[tex]\frac{4}{3}+\frac{3}{5}+-\frac{3}{5}+-\frac{11}{3}[/tex][tex]=\frac{4}{3}-\frac{11}{3}[/tex][tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex][tex]=\frac{4-11}{3}[/tex][tex]\:4-11=-7[/tex][tex]=\frac{-7}{3}[/tex][tex]\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex][tex]\frac{-a}{b}=-\frac{a}{b}[/tex][tex]\frac{-7}{3}[/tex][tex]=-\frac{7}{3}[/tex]---------------------[tex]\boxed{\boxed{\underline{\textsf{\textbf{hope it helps}}}}}[/tex][tex]\boxed{\boxed{\underline{\textsf{\textbf{have a great day!}}}}}[/tex]can some one pls help me with this i need help
Answer:
9/8 cup peanuts were used
The amounts are:
Correct
Correct
Incorrect
Marc is building a rectangular wooden frame for his canvas. If the canvas is 7 feet long by 5 feet wide, what is the perimeter of the canvas?
Answer:
24 feet
Step-by-step explanation:
Use the perimeter formula, P = 2l + 2w, where l is the length and w is the width.
Plug in the values, and solve:
P = 2l + 2w
P = 2(7) + 2(5)
P = 14 + 10
P = 24
So, the perimeter of the canvas is 24 feet
58/360 in simplest form
Answer:
29/180 is the answer for 58/360 in simplest form
[tex]P=\frac{11}{40}+\frac{1}{4}-\frac{1}{20}[/tex]
Answer
p = 19/40
Please give brainliest
Jaclyn used the slope formula to find the slope of the line through the points given in the table.
A 2-column table with 2 rows. Column 1 is labeled x with entries 0, negative 3. Column 2 is labeled y with entries 4, 0.
1. Point 1: (0, 4); Point 2: (negative 3, 0). 2. Slope = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction = StartFraction 0 minus 4 Over negative 3 minus 0 EndFraction = StartFraction negative 4 Over negative 3 EndFraction. 3. Slope = four-thirds.
In which step did Jaclyn make an error?
Answer: She didn't make an error.
Step-by-step explanation:
She just didn't I got it right.
Answer:
answer is D
Step-by-step explanation:
Need help immediately
A sum of money is to be divided among A, B and C in the ratio 2:3:5. The smallest share amounts to $210.
Calculate:
i. The total sum of money to be shared
ii. C’s share
iii. B’s share
Answer:
Step-by-step explanation:
If A, B, and C are in the ratio of 2:3:5 and they are each getting some amount of money in that ratio, then to find the total amount of money they split is found in Ax + Bx + Cx and we need to solve for x. What we are told is that the smallest share = 210 and obviously A is the smallest share. Therefore,
2x = 210 and x = 105.
The total sum = 210 + 3(105) + 5(105) so
Total sum = 210 + 315 + 525
Total sum = 1050 and
C's share is 525 and
B's share is 315
What is the 30th term of the linear sequence below?
-4,-1,2,5,8
Answer:
83
Step-by-step explanation:
a_1 = -4
a_2 = -1
a_2 - a1 = -1 - (-4) = 3
Each new term is 3 added to the previous term.
a_n = a_1 + 3(n - 1)
Test: Let's find the 4th term and see if we get a_4 = 5.
a_4 = a_1 + 3(4 - 1) = -4 + 3(3) = -4 + 9 = 5
We see that the 4th term really is equal to 5.
a_30 = a_1 + 3(30 - 1) = -4 + 3(29) = -4 + 87 = 83
2x-5y=-3
5x+2y=6
Is this a perpendicular lines ?
Perpendiculat Line is when both slopes of equation multiplying each others and equal to -1.
[tex] \large \boxed{m_1m_2 = - 1}[/tex]
For an easier way to understand, a perpendicular line has a negative reciprocal slope. For example if we are given the equation of y = 2x then the equation that is perpendicular to y = 2x would be y = (-1/2)x.
From both equations. We can either arrange in slope-intercepy form or use the slope formula which is m = -A/B when the equation is in Ax+By+C = 0 or Ax+By = C.
[tex] \large{ \begin{cases} 2x - 5y = - 3 \\ 5x + 2y = 6 \end{cases}}[/tex]
To find if these two lines are perpendicular to each others. Use the slope formula of -A/B.
[tex] \large{ \begin{cases} m_1 = - \frac{2}{ - 5} \\ m_2 = - \frac{5}{2} \end{cases}} \\ \large{ \begin{cases} m_1 = \frac{2}{ 5} \\ m_2 = - \frac{5}{2} \end{cases}}[/tex]
Now recall that it is perpendicular when one of them is negative reciprocal of one another (-5/2 is negative reciprocal of -(-2/5) = 2/5 and 2/5 is negative reciprocal of -5/2).
Or in definition of perpendicular lines, both slopes multiply and must equal to -1.
[tex] \large{( \frac{2}{5} )( - \frac{5}{2} ) = - 1} \\ \large{ - 1 = - 1}[/tex]
Thus the equation is true which makes both lines perpendicular to each others.
Answer
Both lines are perpendicular to each others.Let me know if you have any doubts!
if you know the answer please help me ese
Answer:
Domain { 4,8,12,16,20}
Range { 1,2,3,4}
This is not a function because two of the inputs have more than one output
Step-by-step explanation:
The domain is the x values ( input)
Domain { 4,8,12,16,20}
The range is the y values (output)
Range { 1,2,3,4}
This is not a function because two of the inputs have more than one output
Which is equivalent to
1/4x
Answer:
1/4x is basically x divided by 4/multiplied by 1/4
this can be applied in examples such as:
1/4(2) = 0.5
etc.
Step-by-step explanation:
i hope this helped, if not, please leave a comment specifically requiring what exactly you are stuck with.
Answer:
1/8x+1/8x
Step-by-step explanation:
Someone help please struggling on this answer thank you so much!
Answer:
-x+8=6
Step-by-step explanation:
x+5-1(2x)+(-1)(-3)=6
x+5-1-2x+3=6
ans (-x+8=6)
x+8
Please could someone help me?
Answer:
C
Step-by-step explanation: 6 23 17 16
15 is the highest value
Answer:
7:00 pm
Step-by-step explanation:
Mode - Result that appears the most
15 people said they preferred the time 7pm. 15 is the largest number out of the given data
So the mode is 7pm
please help me immediately
Answer:
zero of a polynomial can be defined as the points where the polynomial become 0 as a whole.
An equation formed with variables, exponents and coefficient together with operation and an equal sign is called polynomial equation.
I hope this will help you
please help I will give brainlist
Answer:
Your answer will be B
Step-by-step explanation:
Because you find the difference between 14 and 22 or the difference between 22 and 30 or the difference between 30 and 38. and so on then it will be 8
You then say ok 8 times x so for example 8×1 = 8 then you say ok 22 - 8= 22. So it will be 8x+14...
I hope this helped if not tell me please....❤
Answer: Option B (y=8x+14)
Step-by-step explanation:
To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,
y = 8x
If we insert x = 0 we get,
y = 8(0)
y=0
but in the table it says we get 14 so option A is incorrect
Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,
y=8x+14
y=8(0)+14
y=14
y=8x+14
y=8(1)+14
y=8+14
y=22
y=8x+14
y=8(2)+14
y=16+14
y=30
and so on. Now your answer would be Option B.
THE CREDIT GOES TO (IjlalHashmi)
Hi, does anyone know the answer to this question? I’m bad at geometry and I’m struggling to answer it.
Answer:
QT = 16
Step-by-step explanation:
ΔQRS ~ ΔQRT
In similar triangles, corresponding angles are in same ratio.
[tex]\frac{QS}{QR}=\frac{QR}{QT}\\\\\frac{25}{20}=\frac{20}{QT}[/tex]
Cross multiply,
QT * 25 = 20 * 20
[tex]QT =\frac{20*20}{25}\\\\QT = 4*4\\\\QT = 16[/tex]
Question
2x + 3y = 11
x – 3y =1
What is the solution (x, y) to the given system of equations?
O (4,0)
O (4,1)
O (12,8)
O (12, 10)
Answer: (4, 1)
Step-by-step explanation:
Let's solve this by adding the equations
2x+3y=11
+x-3y=1
3x=12
Now we can solve
[tex]\frac{3x}{3} =\frac{12}{3} \\x=4[/tex]
Now that we know x=4 it can only be the first to options. Let's sub in the value of x to one of the original equations to find the value of y.
[tex]2(4)-3y=11\\8+3y=11\\8+3y-8=11-8\\\\3y=3\\\frac{3y}{3} =\frac{3}{3} \\y=1[/tex]
The answer is (4, 1)
A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?
1 + 92
5
+ -10% = 2
Step 1: = 1 + 32 + 10 = 2
Step 2:=
1* ° + 10 = 2
1 + 10 = 2
Step 4: = 2 + 10 = 2
Step 5: = 12 = 2
Step 6: = 6
Step 3:=
O A. Step 4
doorn
O B. Step 5
O C. Step 1
D.
Step 3
M
Answer:
step 4
Step-by-step explanation:
Answer:
Step 4
Step-by-step explanation:
[tex]\frac{1 + 3^2}{5} + |-10| \div 2\\\\Step \ 1 : \frac{1 + 3^2}{5} + 10 \div 2\\\\step \ 2 : \frac{1 + 9}{5} + 10 \div 2 \\\\Step \ 3 : \frac{10}{5} + 10 \div 2\\\\Step\ 4: 2 + 10 \div 2\\\\Step \ 5 : 2 + 5 \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ given : 12 \div 2 \ ]\\\\Step \ 6 : 7[/tex]
A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot of the pole and makes an angle of 58° with the ground. Find the length of the wire.
Hi, does anyone know the answer to this question? I’m bad at geometry and I’m struggling to answer it.
A child weighs 44 lbs. The physician orders a medication for 10 mg/Kg/day. What do you give per day? (Use 0.45 for your conversion
Answer:
198 mg
Step-by-step explanation:
A child weighs 44 lbs.
Step 1
We convert the child's weight to kg
1 Ibs = 0.45kg
44 Ibs = x
Cross Multiply
1 Ibs × x = 44 Ibs × 0.45 kg
x = 44 Ibs × 0.45 kg/1 Ibs
x = 19.8 kg
Step 2
The physician orders a medication for 10 mg/Kg/day.
From the above statement, we know that:
10mg = 1 kg
Hence, what you give per day is calculated as:
1 kg = 10 mg
19.8kg = x
Cross Multiply
1 kg × x = 19.8kg × 10mg
x = 19.8kg × 10mg/1kg
x = 198mg
Therefore, what you will give per day to a child of 19.8kg(44 Ibs) is 198mg per day
If cos theta = 0.8, find 1 / sin (pi/2 - theta)
Answer:
J
Step-by-step explanation:
Using the cofunction identity
cosθ = sin([tex]\frac{\pi }{2}[/tex] - θ )
Then
[tex]\frac{1}{sin(\frac{\pi }{2}-0) }[/tex]
= [tex]\frac{1}{cos0}[/tex]
= [tex]\frac{1}{0.8}[/tex]
= 1.25 → J
The value of 1/sin([tex]\frac{\pi }{2}[/tex] - θ) is 1.25.
What are four quadrants of trigonometry?The coordinate axes divide the plane into four quadrants, labelled first, second, third and fourth as shown. Angles in the third quadrant, for example, lie between 180 degrees and 270 degrees.
Given
1/cosθ = 0.8
1/sin([tex]\frac{\pi }{2}[/tex] - θ) =?
By using quadrants in trigonometry
we know that sin([tex]\frac{\pi }{2}[/tex] - θ) = cosθ
= 1/sin([tex]\frac{\pi }{2}[/tex] - θ)
= 1/cosθ
= 1/0.8
= 1.25
1/sin([tex]\frac{\pi }{2}[/tex] - θ) = 1.25
Hence, the value of 1/sin([tex]\frac{\pi }{2}[/tex] - θ) is 1.25.
Learn more about four quadrants of trigonometry here
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two rectangles have a scale factor of 4:1. If the area of the larger rectangle is 156cm^2, what is the area of the smaller rectangle?
A. 26.75 cm^2
B. 31 cm^2
C. 9.75 cm^2
D. 39 cm^2
Answer:
c=9.75cm^2
Step-by-step explanation:
156/16 because you are deivding each side by 4 and 4x4=16 and the area is 156
A circle has a radius of 18 ft and an arc length of 117. What is the measure of the central angle of
the circle?
HELPP PLS ASAP I NEED HELP
Answer:
Option (b) second one is the correct answer
Homework June 10th 2021 Jim
Problem 1
Part (a)
It is possible to find the equation of the line of best fit by hand, but it's much more efficient to use technology. That could mean a graphing calculator, an online tool, or some computer software installed. I'm going to use GeoGebra. Specifically, I'm using the "FitLine" command to find the regression line.
The equation of line of best fit is y = -2.45x + 11.83
There's not much to say in terms of steps, since it's basically a calculator problem. Doing this by hand would take a lot longer than it should be.
------------
Part (b)
Plug in x = 2.3 and evaluate
y = -2.45x + 11.83
y = -2.45*2.3 + 11.83
y = 6.195
Answer: 6.195
-------------
Part (c)
We'll compare the result from the previous part (6.195) to the y value in the table (6.2)
The difference is 6.2 - 6.195 = 0.005
This means the estimated value is off by 0.005 and this is an underestimate (since 6.195 is smaller than 6.2)
===================================================
Problem 2
To be perfectly honest, I'm not sure what's going on here. It seems like there's missing context to the problem. Perhaps a data table that got cut off or this is referring to a previous problem.
===================================================
Problem 3
Recall that y = mx+b is the slope intercept form
m = slope
b = y intercept
We simply read off the values of the given equation y = 0.404x - 5.18 to see that 0.404 is the slope and -5.18 is the y intercept
The slope tells us that each time x goes up by 1, y will increase by an estimated amount of 0.404; this represents the unit rate or speed. In this context, it means the height goes up by about 0.404 cm per day. This is an estimated value because the regression line itself is a collection of estimated points.
The y intercept is where the graph crosses the y axis. It always occurs when x = 0. The x refers to the day number. Day 0 is basically the starting day. So the y intercept being -5.18 means the estimated height is -5.18 cm on the starting day. At first glance, it might not seem possible to have a negative height. But simply think of negative heights as below ground level, much like how the negative y values are below the x axis.
In other words, the plant is estimated to start off at about 5.18 cm below ground level. This is a reasonable assumption because the seed is buried into the ground (assuming at this level more or less) and it then grows upward.
Question 3 of 10
In the diagram below, Ed is parallel to Xy. What is the value of x?
The value of y will be 75°. The correct option is C.
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.
A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.
Given that the two parallel lines are DE and XY. The angle y will be calculated as,
y = 180 - 105
y = 75°
Hence, the measure of the angle y is 75°
To know more about lines and angles follow
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what is the solution to the system of equations graphed below?
Answer two questions about Equations A and B:
A. 3x – 1= 7
B. Зx=8
1) How can we get Equation B from Equation A?
Answer:
1. c) Add/ Subtract the same quantity to/from both sides
2) Yes
Step-by-step explanation:
Answer two questions about Equations A and B:
A. 3x – 1= 7
B. Зx = 8
1) To get Equation B from Equation A we need to take the following steps
A. 3x – 1 = 7
We add one to both sides
3x - 1 + 1 = 7 + 1
3x - 0 = 8
3x = 8
Option c is the correct option.
2) We are given Equations:
A. 3x – 1= 7
B. Зx = 8
3x - 1 = 7 = 3x = 8
3x = 7 + 1 = 3x = 8
3x = 8 = 3x = 8
Therefore, we can say, Yes, Equation A is equivalent to Equation B, hence they have the same solution.