Answer:
33 and a half over 7
Step-by-step explanation:
Answer:
33/7
Step-by-step explanation:
∠E and ∠F are vertical angles. If m∠E=(5x+55)° and m∠F=(11x-53)°, find m∠E
Answer:
145° = m∠E
Step-by-step explanation:
Vertical Angles: always congruent, therefore, to find Angle E first find "x" ;
5x + 55 = 11x - 53
55 = 6x - 53
108 = 6x
108/6 = x
18 = x
Now that we know x-value is 18, u can substitute that in for the equation for Angle E for "x";
=> 5(18) + 55 = m∠E
=> 145° = m∠E
Hope this helps!
Question 2
Which of the following sets of numbers could represent side lengths of a right triangle?
6m, 10m, 16m
06m, 8m, 10m
6m, 8m, 9m
6m, 6m, 11m
What is the inverse of f(x)=1.5^x+4
Answer:
Step-by-step explanation:
The inverse function of [tex]f(x) = 1.5^x + 4[/tex] is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
In other words, the required answer is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
To find the inverse of the function[tex]f(x) = 1.5^x + 4[/tex], we need to swap the roles of x and y and solve for y.
Start with the original function:
[tex]y = 1.5^x + 4[/tex]
Swap x and y:
[tex]x = 1.5^y + 4[/tex]
Solve for y:
Subtract 4 from both sides:
[tex]x - 4 = 1.5^y[/tex]
Take the logarithm (base 1.5) of both sides:
[tex]\log1.5(x - 4) = y[/tex]
Rewrite the equation with y as the subject:
y = log1.5(x - 4)
Therefore, the inverse function of [tex]f(x) = 1.5^x + 4[/tex] is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
In other words, the required answer is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
Learn more about inverse functions here:
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Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25 token in his pocket.
He randomly draws a token froin the cup, and then randomly draws a token from his pocket. What is the probability that he
will draw $30 in tokens?
OB.
. В
We want to find the probability that Bob will randomly draw $30 in tokens. We will find that the probability is P = 1/6 = 0.167
Finding the probability.
The only case where he draws $30 randomly is when:
He takes one $5 token from the coin cupHe takes the $25 token from his pocket.Then we need to find the probabilities for these two events.
For the first one, the probability will be equal to the quotient between the number of $5 tokens and the total number of tokens in the cup. There are 6 tokens in the cup and 2 of these are $5 tokens, then the probability is:
p = 2/6 = 1/3
For the second event the probability is computed in the same way, he has two tokens in his pocket and one of them is a $25 token, then the probability is:
q = 1/2
The joint probability, the probability that both of these events happen at the same time, is given by the product of the individual probabilities, so we get:
P = p*q = (1/3)*(1/2) = 1/6 = 0.167
So the probability that he draws $30 in tokens is P = 1/6 = 0.167.
If you want to learn more about probability, you can read:
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Answer:
4/9
Step-by-step explanation:
In Parallelogram WXYZ, diagonals WY and XZ intersect at A. WA=x2−24 and AY=2x.
What is WY?
Enter your answer in the box.
WY=
units
Answer:
[tex] \displaystyle WY = 24[/tex]
Step-by-step explanation:
refer the attachment
remember that,
the diagonals of Parallelogram bisect each other so WA=AY
thus our equation is
[tex] \displaystyle {x}^{2} - 24 = 2x[/tex]
move left hand side expression to right hand side and change its sign:
[tex] \displaystyle {x}^{2} - 2x - 24 =0[/tex]
rewrite 2x and 4x-6x:
[tex] \displaystyle {x}^{2} + 4x -6x - 24 =0[/tex]
factor out x:
[tex] \displaystyle x ({x}^{} + 4) -6x - 24 =0[/tex]
factor out -6:
[tex] \displaystyle x ({x}^{} + 4) -6(x + 4) =0[/tex]
group:
[tex] \displaystyle ({x}^{} + 4) (x - 6) =0[/tex]
recall that,
When the product of factors equals 0 then at least one factor is 0 so
[tex] \displaystyle \begin{cases} {x}^{} + 4 = 0 \\ x - 6 =0 \end{cases}[/tex]
[tex] \displaystyle \begin{cases} {x}^{} = - 4\\ x =6 \end{cases}[/tex]
since the length cannot be negative negative x isn't available
therefore
[tex] \displaystyle \therefore x = 6[/tex]
since WA and AY are the part of WY we acquire:
[tex] \displaystyle WY = {x}^{2} - 24 + 2x[/tex]
substitute the got value of x:
[tex] \displaystyle WY = {6}^{2} - 24 + 2.6[/tex]
simplify square:
[tex] \displaystyle WY = 36 - 24 + 2.6[/tex]
simplify multiplication:
[tex] \displaystyle WY = 36 - 24 + 12[/tex]
simplify addition:
[tex] \displaystyle WY = 48- 24[/tex]
simplify substraction:
[tex] \displaystyle WY = 24[/tex]
hence,
[tex] \displaystyle WY = 24[/tex]
Diagonals bisect each other
WA=AYx²-24=2xx²-2x=24x²-2x-24=0x²-6x+4x-24=0x(x-6)+4(x-6)=0(x+4)(x-6)=0Take it positive
x=6Now
AY=2(6)=12WY=12(2)=24Find the mean of the data given.
Number of the children in 6 families: 4, 0, 3, 6, 3, 2
The mean number of the children in the 6 families is ?
Answer:
The mean number of children is 3.
Step-by-step explanation:
The mean of the data is 3
What is mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Mean = (Sum of all the observations/Total number of observations)
The mean of the given data will be:
[tex]Mean =\frac{4+0+3+6+3+2}{6} \\\\=\frac{18}{6}\\ \\=3[/tex]
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what is the pattern to 1,2,4,7,11
Answer:
1+1=2
2+2=4
4+3=7
7+4=11
so the patter is number + natural numbers (serially)
Step-by-step explanation:
Given: x + 3.8 > -10.02.
Choose the solution set.
Answer:
x > -13.82
Step-by-step explanation:
The first step in finding the solution set is to subtract 3.8 from both sides of the given inequality:
x > -10.02 - 3.8. or
x > -13.82
What is the distance to the nearest tenth of a unit between point H ( -4,6 ) and point I ( 2,-3 )
Answer:
10.81 units
Step-by-step explanation:
Given data
point H ( -4,6 ) and point I ( 2,-3 )
x1= -4
y1=6
x2= 2
y2=-3
The formula for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-(-4))²+(-3-6)²)
d= √(2+4)²+(-9)²)
d= √(6)²+(-9)²)
d= √36+81
d=√117
d= 10.81 units
Hence the distance between the points is 10.81 units
What is the appropriate equation used to find the value of n?
Answer:
B
Step-by-step explanation:
It's B, because it's the only way to find n on both sides
You start at (6, 7). You move right 3 units. Where do you end?
Answer:
(9, 7) is where you would end
Step-by-step explanation:
We know that;
x-value = 6
y-value = 7
We also know that by moving 3 units right u will add 3 to the x-value, therefore;
Final x-value = 6 + 3 = 9
Final y-value = 7 (there is no change)
Final coordinates: (9, 7)
Hope this helps!
if r = 1 and 0 = 7pi /6 what is the approximate arc length
0 = theta
A.)1.75
B.)5.498
C.)21.991
D.)7.330
Answer:
[tex]l = 3.66[/tex]
Step-by-step explanation:
Given
[tex]r =1[/tex]
[tex]\theta = \frac{7\pi}{6}[/tex]
Required
The arc length (l)
This is calculated as:
[tex]l= r\theta[/tex]
So, we have:
[tex]l = 1 * \frac{7\pi}{6}[/tex]
[tex]l = \frac{7\pi}{6}[/tex]
So, we have:
[tex]l = \frac{7*3.14}{6}[/tex]
[tex]l = 3.66[/tex]
None of the options is correct
y=-5(-4)^2 - 40(-4) + 10
Answer:
Step-by-step explanation:
y=-5(16)-160+10
y=-80+160+10
y=90
A square based pyramid has a square base and ________ triangular sides.
I need help with this one
Answer:
4 triangular sides
Step-by-step explanation:
heyy! i’ll give brainliest please help
Answer:
they held yearly elections so I would say democracy but I'm not 100% sure
The piper family arrived at the campground at the time shown on the clock. I took the family 2 hours and 15 minutes to get to the campground. What time did the family leave their house?
Answer:
As you included no picture, I do not know the time on the clock. We can however, work with assumed figures which you can then relate to your question.
Assuming the time on the clock was 10:45 am, if the family took 2 hours and 15 minutes to get to the camp ground, simply subtract this from 10:45 to find out what time they arrived.
Subtract the 2 hours from 10am:
= 10 - 2
= 8am
Subtract the 15 minutes from 45:
= 45 - 15
= 30
Put that together:
= 8:30 am
They left their house at 8:30 am using this scenario.
What is the surface area of this rectangular prism? 64 cm 35 cm 42 cm
Answer:
bbbbbbbbbbbbbbbb
Step-by-step explanation:
A tree that is 12 feet tall casts a shadow that is 9 feet long. At the same time a nearby stop sign casts a shadow that is 6 feet long. What is the height, h , of the stop sign?
A. 4.5 ft
B. 7.3 ft
C. 8 ft
D. 9 ft
Answer:
height / shadow = height / shadow until sun moves or earth tilts
12/9 = h / 6
h = 6*12 /9 = (3*2*3*4 ) / (3*3) = 2 * 4 = 8
So C. 8ft
Y is 5 times more than x
Answer:
y = 5x
Step-by-step explanation:
Form the equation:
y = 5 times x or y = 5x
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLEASE QUICK I ONLY HAVE 11 MINS I NEED THIS ONE QUICK!
WILL GIVE BRAINLY
Answer:
the answer is 7 feet
2πr/2π=14π/2π
r=7 feet
I will mark you brainlest!
A figure below was made with 2 rectangles. Some side lengths are shown. What is the area of the figure in square inches?
Answer:
46 in²
Step-by-step explanation:
Please help I’ll give brainliest
Answer:
25 chords
Step-by-step explanation:
First, set up the ratio 40:8.
Now, make a proportion.
[tex]\frac{40}{8}[/tex]=[tex]\frac{x}{5}[/tex]
This proportion will give you x=25, so your answer is 25.
Hope this helps! Have a great day! :)
Answer:
she will play 31 chords
Step-by-step explanation:
please I need help.
Part of a stained glass window is shown at the right. Each square in the grid is 1 in. long. Find the perimeter and area of the dark gray parallelogram.
Answer:
Perimeter: 5 in
Area: 9 in^2
Step-by-step explanation:
What is the volume of a rectangular prism that has the dimensions of 12 feet, 14 feet, and 6 feet? HINT: Remember to label your answer correctly for full credit!
The formula is V=lwh (Or volume equals length times width times height).
V=12 x 14 x 6
12 x 14 = 168
168 x 6 = 1,008
V=1,008
length: is how long the object is.
width: is the depth of the object, like how wide it is.
height: is how tall it is.
expanded form - 345688 , 5682003
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]{\boxed{\boxed{\tt { ✎ \ 345688}}}} \ [/tex]
⇻ 300000 + 40000 + 5000 + 600 + 80 + 8
[tex]{\boxed{\boxed{\tt {✎ \ 5682003}}}} \ [/tex]
⎇ 5000000 + 600000 + 80000 + 2000 + 0 + 0 + 3
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Last year I read 120 books. This year I want to increase that by 55%.
How many books should I read this year?
Answer:
186?
Step-by-step explanation:
I need help for this question
9514 1404 393
Answer:
a) Cat
b) 8
c) 6
Step-by-step explanation:
a) Each line contains one large square, at least. The smallest additional area is on the Cat line. Apparently, the fewest people preferred cats.
__
b) The smaller symbols appear to represent 1/4, 1/2, and 3/4 of the larger square. On that basis, we can add all of the symbols to discover there are a total of 10 of them:
1 1/4 +1 3/4 +2 1/2 +1 1/2 + 3 = 8 + (1/4 +3/4) +(1/2 +1/2) = 8 +1 +1 = 10
Since 10 symbols represent 80 people, each large square symbol must represent 8 people.
__
c) The number preferring dogs is (1 3/4)(8) = 14. The number preferring giraffes is (2 1/2)(8) = 20. Then 20 -14 = 6 more people preferred giraffes.
Answer:
cat,8,6
Step-by-step explanation:
i think im not sure
Plz answer quickly will mark brainless
Please help! I will give Brainliest!
Who is correct?
Which of these values for p and a will cause the function f(x)=Pax to be an exponential growth function
The option are missing in the question. The options are :
A. P = 2, a = 1
B. [tex]$P=\frac{1}{2} ; a =\frac{1}{3}$[/tex]
C. [tex]$P=\frac{1}{2} ; a =1$[/tex]
D. P = 2, a = 3
Solution :
The given function is [tex]$f(x)= Pa^x$[/tex]
So for the function to be an exponential growth, a should be a positive number and should be larger than 1. If it less than 1 or a fraction, then it is a decay. If the value of a is negative, then it would be between positive and negative alternately.
When the four option being substituted in the function, we get
A). It is a constant function since [tex]$2(1^x)=2$[/tex]
B). Here, the value of a is a fraction which is less than 1, so it is a decay function. [tex]$f(x)=\frac{1}{2}\left(\frac{1}{3}\right)^x$[/tex]
C). It is a constant function since the value of a is 1.
D). Here a = 3. So substituting, as the value of x increases by 1, the value of the function, f(x) increases by 3 times.
[tex]$f(x)=2(3)^x$[/tex]
Therefore, option (D). represents an exponential function.
Answer:
Its P = 1/5 ; a = 2
Step-by-step explanation:
I am doing the test; I got it right.