Answer: There are 32 dogs and 1 Parrot
Step-by-step explanation: I had a question like this in a math class. What you first do is to recognize that- parrots have 2 legs and dogs have 4. We can do 130/2 = 65 and 130/4= 32.5. Now we know that if there was only one animal, there would be 65 parrots, and 32 dogs- one with half of the legs. Since there is a .5 for the dogs, if we put in one parrot, it would mean that there is exactly 130.
(32 x 4)+(2x1) = 130. There are 32 dogs and 1 Parrot. I hope this answer is ✅ and helps, i just joined the community and this is the first person I answered. Good Luck!!
Answer:
Step-by-step explanation:
To solve this, we need to list some equations. Letting variable d stand for dogs and p stand for parrots, we have:
d+p=40 (The number of dogs plus the number of parrots equals 40)
4d+2p=130 (Each dog has 4 legs and each parrot has 2 legs and they have 130 legs in total)
With this system of equations, we can quickly solve it for d and p.
Subtract:
4d+2p=130
- d+p=40
_________
3d+p=90,
p=90-3d
Substitution:
d+(90-3d)=40
90-2d=40
-2d=-50
d=25
Substitution to get p:
p+25=40
p=15
There you have it! There are 25 dogs and 15 parrots. To check our work,
25+15=40
4(25)+2(15)=100+30=130
I hope this helped! :)
the answer plz no explanation needed
the answer is on the photo
Solve for x Round to the nearest tenth one place after the decimal !
Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
In slope-intercept form, what is the equation of a line perpendicular to y = 10x - 8 that passes through the point (0,0)?
O 1
y = -0,1x + 10
O2
y = -0.1x + 1
3
y = -0.1x
04
y = 0.1x
Answer:
y = -0,1x + 1
Step-by-step explanation:
use complete sentences to describe the transformation of triangle ABC into its image.
Answer:
Move triangle ABC over 2 and up 1
Step-by-step explanation:
A transformation in geometry is to essentially move a shape. To move ABC onto A1B1C1 you would move triangle ABC over 2 and up 1.
Sam counts how many people came to the local political meeting. He counts 72 people, but forgot about the 4 people sitting behind him.
The percent error in his calculation is __________.
Answer:
The percent error in his calculation is 5.26%.
Step-by-step explanation:
Percent error:
Number of misses multiplied by 100 and divided by the correct value.
In this question:
Total of 72 + 4 = 76 people. 4 were missed, so:
[tex]E = \frac{4(100)}{76} = \frac{400}{76} = 5.26[/tex]
The percent error in his calculation is 5.26%.
Answer: 5.55 which is 5.6.
Step-by-step explanation:
You take the number of misses (4) and multiply it by 100= 400
then you divide that by the total people (72)
400/72= 5.55 or 5.6
What is the measure of B?
calculate the area of the following figure.
Answer:
77 cm²
Step-by-step explanation:
The figure can be decomposed into two rectangles.
✔️Area of rectangle 1:
Area of rectangle 1 = length * width
length = 3.5 cm
width = 8 cm
Area of rectangle 1 = 3.5*8 = 28 cm²
✔️Area of rectangle 2:
Area of rectangle 2 = length * width
length = 14 cm
width = 3.5 cm
Area of rectangle 2 = 14*3.5= 49 cm²
✔️Area of the figure = 28 + 49 = 77 cm²
30 POINTS PLEASE HELP
Answer:
Answer:
Solution given:
f(x)=5x-3
let
y=f(x)
y=5x-3
interchanging role of x and y
x=5y-3
x+3=5y
y=[tex]\frac{x+3}{5}[/tex]
$o,
f-¹(x)=[tex]\frac{x+3}{5}[/tex]
we conclude that
f-¹(x)≠g(x)
Each pair of function are not inverses.
g(x)=x/5+3
let g(x)=y
y=x/5+3
interchanging role of x and y
x=y/5+3
x-3=y/5
doing crisscrossed multiplication
5(x-3)=y
y=5x-15
g-¹(x)=5x-15
So
g-¹(x)≠f-¹(x)
Each pair of function are not inverses.
Consider the following sample space, S, and several events defined on it. S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}. FH is ___________.
Answer:
FnH = {Meagan}
Step-by-step explanation:
Given the following sets and events:
S = {Albert, Betty, Abel, Jack, Patty, Meagan}
F = {Betty, Patty, Meagan},
H = {Abel, Meagan}
P = {Betty, Abel}.
In order to get FnH
The intersection of F and H is the element that is common to both sets. Hence for the set given, we can see that Meagan is common to both sets, therefore:
FnH = {Meagan}
Help me with this please
Answer:
A
Step-by-step explanation:
A is the only graph with slope (1/4)
pleaseee help :(The Venn diagram below shows the type of crops planted by 50 farmers in a particular area.
If a farmer is chosen at random, what is the probability that the farmer planted corn OR lettuce?
Answer:
1/2
Step-by-step explanation:
I am not sure if it's correct
The probability that the farmer planted corn OR lettuce is 1/2.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
The Venn diagram below shows the type of crops planted by 50 farmers in a particular area.
The number of farmers plant only corn = 5
The number of farmers plant only lettuce = 10
The number of farmers plant corn and lettuce = 10
Total number of farmers = 50
If a farmer is chosen at random, then the probability that the farmer planted corn OR lettuce is;
[tex]\rm Probability =\dfrac{Corn + Lettuce+ Corn and Lettuce}{Total \ number \ of \ farmers}\\\\ Probability =\dfrac{5+10+10}{50}\\\\\rm Probability =\dfrac{25}{50}\\\\\rm Probability =\dfrac{1}{2}[/tex]
Hence, the probability that the farmer planted corn OR lettuce is 1/2.
Learn more about probability here;
https://brainly.com/question/12705626
#SPJ2
Which of these shapes have the same area?? help ;-;
Answer:
A and B because if you count they both have 16 and C has 25
please help, it’s urgent !
Answer:
do your own work its not hard
Step-by-step explanation:
What is the range of the function
Answer: [tex]-\infty < y < \infty[/tex] which is choice A
This is the set of all real numbers.
===========================================================
Explanation:
If you were to graph this function, then it spans infinitely upward and infinitely downward as well. That means that we can land on any y value we want, and that's why the range is the set of all real numbers.
Another approach we could take is to swap x and y to get [tex]x = \sqrt[3]{y+8}[/tex] which solves to [tex]y = x^3-8[/tex] . This is the inverse of the original function your teacher gave you. Recall that the domain and range swap roles when going from the original function to the inverse. What this means is that because the domain of
Domain of inverse = set of all reals
Range of original = set of all reals
The function graphed above is:
Concave up on the interval:
Concave down on the interval:
There is an inflection point at:
Answer:
concave up:(-3, ∞)
concave down: (-∞, -3)
inflection point: (-3, 0)
Step-by-step explanation:
Concave up is when the slope increases, and concave down is when the slope decreases. Here, we can see that, as we move left to right, when x is less than -3, the slope starts out really high (y is increasing rapidly) but is decreasing. Then, as x reaches -3, the slope starts to rise, and the change in y gets higher and higher.
Given this information, we can say that the function is concave down from (-∞, -3) as it is going down from all values until x=-3 and is concave up from (-3, ∞) as it is going up from all values past x= -3 , with an inflection point of (-3, 0) as that is when the change in slope goes from down to up.
The area of a rectangle is 3,878 square centimeters. If the rectangle has a width of 14 centimeters, what is its length?
Answer:
277 cm
Step-by-step explanation:
[tex]A=l*w\\3,878=l*14\\l=\frac{3,878}{14} \\l=277[/tex]
I need to know what goes in the periods rate total amount and total interest boxes in why
9514 1404 393
Answer:
periods: 4rate: 1%total amount: 598.35total interest: 23.35Step-by-step explanation:
"Periods" will be filled with the number of years (1) times the number of periods per year (quarterly = 4). periods = 4
"Rate" is likely filled with the rate of interest divided by the number of periods per year. rate = 4%/4 = 1%
Then the total amount is found by ...
total amount = principal × (1 + rate)^(periods)
= 575 × (1.01^4) = 598.35
The total interest is the difference between this amount and the principal.
total interest = total amount - principal
= 598.35 -575 = 23.35
_____
We believe we have made reasonable assumptions regarding the intent of the columns in the table. Your best bet is to compare this problem to the worked examples in your curriculum materials.
When the function f(x) = 4(2)x is changed to f(x) = 4(2)x − 13, what is the effect? (5 points)
Select one:
a. There is no change to the graph because the exponential portion of the function remains the same.
b. The x-intercept is 13 spaces higher.
c. The y-intercept is 13 spaces lower.
d. All input values are moved 13 spaces to the left.
Answer:
C
If x = o then f(0) = 4(2) * 0 = 0
If f(x) = 4(2) 0 - 13
then f(x) = -13 at x = 0
Answer:
it will indeed be c
Step-by-step explanation:
deesnuts
The height of a cylinder is twice the radius of its base.
What expression represents the volume of the cylinder,
in cubic units?
What is the measure of ABC?
Answer:
60
Step-by-step explanation:
Information needed: a whole circle is 360 degrees.
Explanation: you need a protractor to see how many degree's it is
At a concession stand; three hot dogs and two hamburgers cost $9.75; two hot dogs and three hamburgers cost $10.25. Find the cost of one hot dog and the cost of one hamburger.
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Answer:
hot dog: $1.75hamburger: $2.25Step-by-step explanation:
Let x and y represent the cost of a hot dog and a hamburger, respectively. The the two purchases can be described by ...
3x +2y -9.75 = 0
2x +3y -10.25 = 0
We can list the coefficients of these general-form equations in 2 rows, listing the first one again at the end:
3, 2, -9.75, 3
2, 3, -10.25, 2
Now, we can form differences of cross-products in adjacent pairs of columns:
d1 = (3)(3) -(2)(2) = 9 -4 = 5
d2 = (2)(-10.25) -(3)(-9.75) = -20.50 +29.25 = 8.75
d3 = (-9.75)(2) -(-10.25)(3) = -19.50 +30.75 = 11.25
Then the solutions are found from ...
1/d1 = x/d2 = y/d3
x = d2/d1 = 8.75/5 = 1.75
y = d3/d1 = 11.25/5 = 2.25
The cost of one hot dog is $1.75; the cost of one hamburger is $2.25.
_____
Additional comment
This is my simplification of the "cross-multiplication method" of solving a pair of linear equations. That method can be found described on web sites and in videos. This version, and the versions described elsewhere, are variations on Cramer's Rule and on the Vedic Maths method of solving equations. Each of those do similar differences of cross products, perhaps in less-easily-remembered fashion.
For a given pair of columns with coefficients ...
a b
c d
The cross-product we form is ad -cb.
31
?
40
Find the measure of the indicated angle to the nearest whole degree.
Answer:
51°
Step-by-step explanation:
Reference angle (θ) = ?
Opposite side length = 31
Hypotenuse length = 40
Apply SOH, which is;
Sin θ = Opp/Hyp
Plug in the values
Sin θ = 31/40
θ = sin^{-1}(31/40)
θ = 51° (neatest whole degree)
Two people start from the same point. One walks east at 4 mi/h and the other walks northeast at 8 mi/h. How fast is the distance between the people changing after 15 minutes?
Answer:
5.89 mi/h
Step-by-step explanation:
This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.
First, we start by drawing a diagram with the velocity vectors.
A= velocity of the first person
B= velocity of the second person
C= velocity in which they are moving away from each other.
Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)
Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.
Law of cosines:
[tex]C^{2}=A^{2}+B^{2}-2ABcos \gamma[/tex]
so we can solve the formula for C so we get:
[tex]C=\sqrt{A^{2}+B^{2}-2ABcos \gamma}[/tex]
and now we can substitute the values we know:
[tex]C=\sqrt{(4)^{2}+(8)^{2}-2(4)(8)cos 45^{o}}[/tex]
[tex]C=\sqrt{16+64-32\sqrt{2}}[/tex]
[tex]C=\sqrt{80-32\sqrt{2}} mph[/tex]
if we want an exact answer, then that will be the exact answer, which approximates to:
C=5.89 mph
Given f(x) = 6x + 2, find f(x – 3).
A. f(x – 3) = 6x – 1
B. f(x – 3) = 6x – 16
C. f(x - 3) = x - 1
D. f(x – 3) = 6x2 – 16x - 6
Answer: B. f(x - 3) = 6x - 16
Concept:
When encountering a question that gives you a function and the evaluation value, then basically plug the given value into the function.
Solve:
Given function and value
f(x) = 6x + 2
f(x - 3)
Substitute the value into the given expression
f(x - 3) = 6 (x - 3) + 2
f(x - 3) = 6x - 18 + 2
f(x - 3) = 6x - 16
Hope this helps!! :)
Please let me know if you have any questions
2)(40pts) A class contains 18 girls and 14 boys. For all parts of this question, each boy and girl are distinguishable from one another. Answer the following questions:a)In how many ways can a committee of one boy and one girl be chosen
Answer:
A committee of one boy and one girl can be chosen in 252 different ways.
Step-by-step explanation:
Given that a class contains 18 girls and 14 boys, and for all parts of this question, each boy and girl are distinguishable from one another, to determine in how many ways can a committee of one boy and one girl be chosen, the following calculation has to be done:
18 x 14 = X
252 = X
Therefore, a committee of one boy and one girl can be chosen in 252 different ways.
The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.0 minutes and standard deviation 1.6 minutes. Suppose that a random sample of customers is observed. Find the probability that the average time waiting in line for these customers is (a) Less than 10 minutes (b) Between 5 and 10 minutes (c) Less than 6 minutes Round your answers to four decimal places (e.g. 0.9876). (a) The probability is Enter your answer in accordance to the item a) of the question statement . (b) The probability is Enter your answer in accordance to the item b) of the question statement . (c) The probability is Enter your answer in accordance to the item c) of the question statement .
Answer:
Step-by-step explanation:
a)
*Prob-less 89.44%
b)
*Prob-Between 86.40%
Z1=-1.88 Z2=1.25
c)
*Prob-less 10.56%
Find the value of x if it is a number between 8 and 2 exclusive?
Step-by-step explanation:
the might help you for your answer
A set of data is normally distributed with a mean of 75 and a standard deviation of 3. What percent of the data is in the interval 72–78?
Can someone help me please!!! Not sure what to do with the problem or where to start. Thank you for your help!
9514 1404 393
Answer:
0.65 ≤ x ≤ 2.35
Step-by-step explanation:
The ± symbol is pronounced "plus or minus." Then 1.5 ± 0.85 means ...
1.5 + 0.85 = 2.35 or 1.5 - 0.85 = 0.65
These are said to be the end points of a closed* interval, so the interval is ...
0.65 ≤ x ≤ 2.35
This is graphed as solid dots at 0.65 and 2.35 and the number line shaded between those dots.
_____
* "closed" means the endpoints are included in the interval. An interval is "open" if the endpoint is not included. The inequality for that is written using the < symbol instead of the ≤ symbol.
The weight of bags of fertilizer is normally distributed with a mean of 50 pounds and standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh:
a. Between 45 and 55 pounds?
b. At least 56 pounds?
c. At most 49 pound?
Answer:
Following are the solution to the given points:
Step-by-step explanation:
Normal Distribution:
[tex]\mu=50\\\\\sigma= 6\\\\Z=\frac{X-\mu}{\sigma} \sim N(O,l)[/tex]
For point a:
[tex]P(X< 56)=\frac{(56-50)}{6}= \frac{6}{6}=1\\\\[/tex]
[tex]=P(Z<1)\ From\ \sigma \ Table=0.8413\\\\P(X>= 56)=(1-P(X< 56))=1-0.8413=0.1587\\\\[/tex]
For point b:
[tex]P(X< 49)=\frac{(49-50)}{6}=-\frac{1}{6} =-0.1667\\\\=P(Z<-0.1667)\ From\ \sigma \ Table\\\\=0.4338[/tex]
For point c:
To Find [tex]P(a\leq Z\leq b)= F(b) - F(a)\\\\[/tex]
[tex]P(X< 45)=\frac{(45-50)}{6}=\frac{-5}{6} =-0.8333\\\\P (Z<-0.8333) \ From \ \sigma \ Table\\\\=0.20233\\\\P(X< 55)=\frac{(55-50)}{6} =\frac{5}{6}=0.8333\\\\P ( Z< 0.8333) \ From \ \sigma\ Table\\\\=0.79767\\\\P(45 < X < 55) =0.79767-0.20233 =0.5953[/tex]
