Step-by-step explanation:
-5 +11y -3 = 25
11y = 25 + 5 + 3
11y = 33
y = 33/11
y = 3
if f(x)=x^2 and g(x)=1/2x+3 find g(f(-1))
Answer:
1/5
Step-by-step explanation:
F(x)=x^2
g(x)=1/(2x+3)
g(f(-1))=?
x=-1→f(-1)=(-1)^2→f(-1)=1
g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5
What is the measure of 0?
Answer:
C. 4
Step-by-step explanation:
arc length = radius*θ ,
where θ is an angle in radians.
12 = 3*θ
θ = 12/3 = 4
16
h(x)=−(x−2)
2
+16
Answer: -24
Step-by-step explanation:
5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.
Answer:
if rounding by tenths 17.3 i’d rounding by hundredths 17.31 and thousandths 17.316
Step-by-step explanation:
most teachers say but off is thousandths be careful look what it’s asking for exactly
CAN SOMEONE PLEASE EXPLAIN THIS, I DONT NEED THE ANSWER ONLY EXPLANATION!!!!! HELP FASTTTTT THE ANSWER IS HEAT WAS ADDED
Answer:
C
Step-by-step explanation:
The substance in the second beaker must have lost heat for it to solidify
Answer:
Step-by-step explanation:
The thermometer’s temp could have made the liquid to chemically react?
You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),
(-2,4), (5,4) and (5,-3). Find the perimeter in yards and the area in square yards of the floor.
Answer:
Perimeter = 28 yards
Area = 49 square yards.
Step-by-step explanation:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).
Using distance formula, we get
[tex]AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7[/tex]
Similarly,
[tex]BC=\sqrt{(5-(-2))^2+(4-4)^2}=7[/tex]
[tex]CD=\sqrt{(5-5)^2+(4-(-3))^2}=7[/tex]
[tex]AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7[/tex]
It is conclude that, [tex]AB=BC=CD=AD[/tex].
From the given points it is clear that all sides lie on either vertical or horizontal lines.
Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.
Perimeter of square floor is
[tex]P=4a=4(7)=28\text{ yards}[/tex]
Area of square floor is
[tex]A=a^2=7^2=49\text{ sq. yards}[/tex]
Therefore, the perimeter is 28 yards and the area is 49 square yards.
How did you figure out the number of windows on 10 floors?
Answer:
There are 40 windows on the 10th floor
Step-by-step explanation:
Since we know one cube has 4 "windows" (each hole on its side not counting top and bottom) we can calculate that for each "floor" 4 more windows are added. So in other words, if "x" equals the amount of "floors" the equation for solving this would be 4x = # of windows.
can someone help me on these 2 questions?
7. x=20
8. x=19
Step-by-step explanation:
7. The shape is a parallelogram and the angles that are labeled are opposite from each other, meaning that they are congruent. So, 4x-40=2x (and solve)
8. Same case as last time (parallelogram), and the angles labeled are congruent. So, 2x+19=3x (and solve)
An animal shelter relies on
donations and adoption fees of
$75 per pet to pay its monthly
expenses of $2800. One month 12
pets are adopted. Which inequality
describes the donations, x,
required for the shelter?
Answer:
Step-by-step explanation:
x ≥ 2800
12*75=900
900< x
Workout the value of the largest angle
Step-by-step explanation:
These angles all add up to 360° because they form a circle, so b + b + 2b + 5b = 360°, and b = 40°. The largest angle is 5b which is 5 * 40 = 200°.
Answer:
200
Step-by-step explanation:
The sum of the angles is 360 degrees
5b+ b+b+2b = 360
Combine like terms
9b = 360
Divide each side by 9
9b/9 = 360 /9
b = 40
The largest angle is 5b
5*40
200
The area of a triangle is 17.5 square meters. The height of the triangle is 3 meters less than twice its base. The base of the triangle is x meters. Complete the equation that represents this description and fill in the values for the base and height of the triangle. The equation modeling the described triangle is x2 + x + = 0. The base of the triangle is meters. The height of the triangle is meters.
Answer:
A = ½ * base * height
A = ½ * x * (2x-3)
17.5 = ½ * (2x² - 3x)
35 = 2x² - 3x
0 = 2x² - 3x - 35
2x² - 3x - 35 = 0 .......... (the equation)
(2x + 7)(x - 5) = 0
2x + 7 = 0
2x = - 7
x = -7/2 = -3.5
x-5 = 0
x = 5
since we have two result of x, then we can choose the positive one x = 5
so the base is 5 m and the height is
h = (2x - 3) = 2*5 - 3 = 10-3 = 7 m
Which number line correctly shows 0.8 + 0.3? A number line going from 0 to 1.3 in increments of 0.01. An arrow goes from 1.1 to 0.3 and from 0.3 to 0. A number line going from 0 to 1.3 in increments of 0.01. An arrow goes from 0 to 0.8 and from 0.8 to 1.1. A number line going from 0 to 1.3 in increments of 0.01. An arrow goes from 0 to 0.8, and then backwards from 0.8 to 0.5. A number line going from 0 to 1.3 in increments of 0.01. An arrow goes from 0.3 to 1.1 and then backwards from 1.1 to 0.8.
Answer:
the second number line in the second row OR The number line D in the attached image
Step-by-step explanation:
Lets start solving the question.
(For ease of understanding each line i have labeled them please see the attachment to relate my explanation)
first read the question it i mentioned that which number line currently shows 0.8+0.3.
After reading the question it is clear that which ever line will represent it will be the addition of 08.+0.3.
here please take a note that we are dealing with a number line hence the sign also matters.
Now lets start analyzing lines one by one.To make it easy i have attached an image where i have labeled the lines as A,B,C,D,E,and F for the ease of understanding.
so take the first line A into consideration,
its starting from 0.3 and ending at 0 means its decrementing you can also determine it with the direction. any line that originates from the origin and goes to the right shows increment and addition and the lines that originates from origin and goes to the left shows decrement.
so here we can easily all those lines which are showing a leftward directions as it is decrementing and we want a line that increments 0.8+0.3
so now th lines A,B,F and H can be skipped.
We are done with analyzing line A, line B is skipped and now lets start with C.
here the line start from 0 and ends at 0.8 so it cant be the line as 0.8+0.3 yields 0.11.
so line C can't be the correct one.
Now lets consider the next line that is D.
here it starts at 0.8 and ends at 0.11 means exactly showing an increment of 0.3 also its showing a positive directions as its heading to the right.
so this is the line that correctly shows 0.8+0.3.
Now consider line E it cant be the correct line as its showing only 0 to 0.8.
and now the line that will confuse you is line G.
it starts at 0.3 and ends at 0.11 here there is increment of 0.8 though it seems like correct but it cant be the line showing 0.8+0.3 as we have to select the line that originates at 0.8 and shows an increment of 0.3 and not the one which originates at 0.3 and ends at 0.11 showing an increment of 0.8.
Also the question itself is asking 'LINE' and not 'LINES' so you can take such minute things also into Consideration for avoiding any kind of confusion.
I hope this will help you.
Answer:
B
Step-by-step explanation:
Simplify ^4 sqrt 16x^8y^12z^4
Answer:
Step-by-step explanation:
[tex]y^{4}\sqrt{16x^{8}y^{12}z^{4}}=y^{4}\sqrt{4*4*x^{4*2}y^{6*2}z^{2*2}}\\\\ =y^{4}\sqrt{4^{2}*(x^{4})^{2}*(y^{6})^{2}*(z^{2})^{2}}\\\\=y^{4}*4*x^{4}*y^{6}*z^{2}\\\\=4x^{4}y^{4+6}z^{2}\\\\\\=4x^{4}y^{10}z^{2}[/tex]
Examine these figures. Triangle A B C. Angle C is 108 degrees and angle B is 34 degrees. 2 lines extend from a horizontal line to form angles with measures 38 degrees, 108 degrees, and labeled 2. Choose the statement that is not true based on these diagrams. 38° + m∠2 + 108° = 180° m∠A + 108° + 34° = 180° m∠A = m∠2 m∠2 = 34°
Answer:Choose the statement that is not true based on these diagrams. answer= m∠A = m∠2
The statement that is not true based on these diagrams will be;
⇒ m ∠A = m∠2
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In Triangle ABC,
⇒ Angle C is 108 degrees and angle B is 34 degrees.
Now,
Since, In Triangle ABC,
⇒ Angle C is 108 degrees and angle B is 34 degrees.
Hence, We get;
⇒ m ∠A + m ∠B + m ∠C = 180°
Substitute all the values, we get;
⇒ m ∠A + 34° + 108° = 180°
⇒ m ∠A + 142° = 180°
⇒ m ∠A = 180° - 142°
⇒ m ∠A = 38°
Thus, The incorrect statement is,
⇒ m ∠A = m∠2
Learn more about the triangle visit:
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Find the area of the kite.
Answer:
30 m
Step-by-step explanation:
We use the area of a kite which is diagonal 1 multiply it by diagonal 2 then divide by two
Simplify. PLEASE HELP
Answer:
0
Step-by-step explanation:
we can use difference of squares to factor the equation into (x+y)(x-y)/(x-y)
The (x-y) cancel out so the fraction becomes (x+y)
The two (x+y) also cancel out so it becomes 0
Answer:
0
Step-by-step explanation:
[tex]x+y-\dfrac{x^2-y^2}{x-y}= \\\\\\x+y-\dfrac{(x+y)(x-y)}{x-y}= \\\\\\x+y-(x+y)= \\\\\\\boxed{0}[/tex]
Hope this helps!
I need help on my algebra. :)
Answer:
Option B
Step-by-step explanation:
Consider the steps below;
[tex]3x - 4y = 25,\\3x + 2y = 1\\\\3x - 4y = 25,\\+ ( - 3x - 2y = - 1 )\\\\- 6y = 24,\\y = - 4\\\\3x - 4y = 25,\\3x - 4 * ( - 4 ) = 25,\\3x + 16 = 25,\\3x = 9,\\x = 3\\\\Solution, x = 3, y = - 4[/tex]
To solve this system of equations, I applied process of elimination, which I thought was most convenient. Multiplying the bottom equation by - 1, I added both equations to cancel out the x's and solved for the value of y. Substituting this value of y into the top equation, I solved for the value of x;
Solution ⇒ Option B
You drive 1650 miles at 50 mph; how long will it take?
Answer:
33 hours
Step-by-step explanation:
Take the distance and divide by the rate to get the time
1650/50 = the number of hours
33 hours
Answer:
33 hours
Step-by-step explanation:
mph stands for miles per hour
So, 1650/50=33, which finds how long in hours
So, if your speeds stays constant it should take 33 hours
PLEASE HELP ME I GIVE BRANLYIEST
A school surveyed students, asking whether they are right-handed or left-handed. This table provides data from the survey.
Right-Handed Left-Handed
Boys 108 23
Girls 99 16
Fill the tables with the relative frequencies. If necessary, round your answers to the nearest hundredth.
Answer:
[tex]\left\begin{array}{ccc}&Right-Handed&Left-Handed\\Boys&108&23\\Girls&99&16\end{array}\right[/tex]
[tex].18+.82=1[/tex]
[tex].14+.86=1[/tex]
[tex]\left[\begin{array}{cccc}&Right-Handed&Left-Handed&Total\\Boys&.82&.18&1\\Girls&.86&.14&1\end{array}\right][/tex]
[tex].41+.59=1[/tex]
[tex].48+.52=1[/tex]
[tex]\left[\begin{array}{ccc} &Right-Handed&Left-Handed\\Boys&.52&.59\\Girls&.48&.41\\Total&1&1\end{array}\right][/tex]
Step by Step:
Step which two decimals added together equal 1?
0.86, 0.48, 0.41, 0.82, 0.59, 0.14, 0.52, 0.18
[tex]0.14+0.86=1[/tex], [tex]0.18+0.82=1[/tex], [tex]0.41+0.59=1[/tex], & [tex]0.48+0.56=1[/tex]
Now solve for the rows in the first table
[tex]108+23=131\\108 divided by 131=0.82\\Well remember,0.82+0.18=1[/tex]
so there is the first row for boys in the first table
Now solve for the second rows in the first table
[tex]99+16=115\\99 divided by 115=0.86\\Well remember, 0.86+0.14=1[/tex]
so there is the second row for girls in the first table
Now we do pretty much the same for table 2 just it's columns instead of rows
[tex]108+99=207\\108 divided by 207=0.52\\Well remember 0.52+0.48=1[/tex]
So we put 0.52 under boys RH(right-handed) and 0.48 under girls RH.
[tex]23+16=39\\23 divided by 39=0.59\\Well remember, 0.59+0.41=1[/tex]
So we put 0.59 under boys LH(left-handed) and 0.41 under girls LH.
Hope this makes sense and helps!!!
Answer:
first box= boys= .82, .18 girls= .86, 14
second box= boys= .52 .59 girls= .48 .41
Step-by-step explanation:
i did the test
D = -3/2
-D = ?
What does -D equal?
Answer:
Negative
Step-by-step explanation:
D has the exact same value but
this time it the other way so your answer
should be -D = 3/2
What is the value of x? Enter your answer in the box.
there are 18 animals in a pet store some are birds and others are dogs. there are 50 legs in total. how many dogs are there
Answer:
I believe the answer will be 36 for the dog legs.
Step-by-step explanation:
first you get a calculator
then you type in 18 divided by 50
then you hit enter
then the answer will come up as 0.36
In the Metric System: As you move from a smaller unit to a larger unit, the number of larger units required will be LESS. Therefore the decimal point will always move to the LEFT when you want to make a number smaller because the unit is larger. is it true or false?
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Did it on edge2020
I need some help quick on these questions.
Triangle A B C is reflected and then dilated to form smaller triangle A double-prime B double-prime C double-prime Which transformations could have occurred to map △ABC to △A"B"C"? a rotation and a dilation a rotation and a reflection a reflection and a dilation a translation and a dilation
Answer:
a reflection and a dilation
Step-by-step explanation:
in the wording, it was stated that the triangle was reflected then dilated.
The correct answer is translation and a dilation
What are the various types of transformation?There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.
How to solve this problem?The steps are as follow:
Given Δ A"B"C" is smaller than Δ ABCWhich means that sides of ΔABC are dilated i.e compressed to give the sides of Δ A"B"C"Also , Δ A"B"C" is at right to ΔABC which means that ΔABC was translated i.e shifted to give ΔA"B"C"So the correct answer will be translation and a dilation
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Lachlan invested $4300 over 5 years at 4.6% p.a., compounded every 6 months. Find the total value of his investment.
Answer:
[tex]\fbox{\begin{minipage}{13em}approximately 5397.9 dollar\end{minipage}}[/tex]
Step-by-step explanation:
Given:
Lachlan invested $4300 over 5 years at 4.6% p.a., compounded every 6 months.
Solve for:
Total value of his investment.
Step 1: Define the formula to calculate the total value of Lachlan's investment
Total value = Principal x (1 + rate/2)^(Year x 2)
(the rate is divided by 2 and the year is multiplied by 2 because this is compounded semi-annual, not compounded annual)
Step 2: Perform the calculation:
With Principal = 4300$, Rate = 4.6% =4.6/100 = 0.046, Year = 5
=> Total value = 4300 x (1 + 0.046/2)^(5 x 2) ≈ 5397.9$
Hope this helps!
:)
find four rational numbers between 2/3 and 3/4
Answer:
17/24
Step-by-step explanation:
(a+b)÷2
a= 2÷3
b= 3÷4
=(2/3 + 3/4)÷2
=(8+9/12)÷2
=17/24
3. At Windy Pines Summer Camp, there are 255 campers
and 30 counselors. Express the ratio of counselors to
campers as a fraction in simplest form. Explain its
meaning.
Answer:
15:2; there are 2 counselors to every 15 campers
Step-by-step explanation:
The shape has an area of 60 square inches. Find the value of x.
Answer:
12 inches
Step-by-step explanation:
A=0.5bh
A=0.5xh
60=0.5*10*x
60=5x
5x=60
x=12
Help geometry what I m jlf
Picture provided
Answer:
[tex]\angle\,JLF = 114^o[/tex] which agrees with option"B" of the possible answers listed
Step-by-step explanation:
Notice that in order to solve this problem (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from [tex]180^o[/tex], since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as [tex]90^o[/tex] and [tex]138^o[/tex]. (see attached image)
We put our efforts into solving the right angle triangle denoted with green borders.
Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : [tex]360^o-90^o-138^o=132^o[/tex]
Therefore, the two equal acute angles in the triangle JOH should add to:
[tex]180^o-132^o=48^o[/tex] resulting then in each small acute angle of measure [tex]24^o[/tex].
Now referring to the green sided right angle triangle we can find find angle JLG, using: [tex]180^o-24^o-90^o=66^o[/tex]
Finally, the requested measure of angle JLF is obtained via: [tex]180^o-66^o=114^o[/tex]
