Answer:
1) 45
2) 6x^2-4xy+10y^2
Step-by-step explanation:
1) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine (a) f(-2, 3)
Replace a with (-2) and b with (3):
3(-2)^2-2(-2)(3)+5(3)^2
3(4)-2(-6)+5(9) *Took care of exponents and performed some multiplication in the middle term.
12-12+45 *performed more multiplication
0+45 *additive inverses property applied
45 *performed some addition
2) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine f(x+y, x-y)
Replace a with (x+y) and b with (x-x-y):
3(x+y)^2-2(x+y)(x-y)+5(x-y)^2
*Explained binomial squares
3(x^2+2xy+y^2)-2(x+y)(x-y)+5(x^2-2xy+y^2)
*Expand product of the sum of two numbers with the difference of said numbers
3(x^2+2xy+y^2)-2(x^2-y^2)+5(x^2-2xy+y^2)
*Distribute
3x^2+6xy+3y^2-2x^2+2y^2+5x^2-10xy+5y^2)
*Combine like terms
6x^2-4xy+10y^2
Approximate by finding the product of (2x10^58)x(2x10^-23)
The product of the expressions 2 × 10⁵⁸ and 2 × 10⁻²³ in the scientific notation will be 2 × 10³⁵.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expressions are given below.
2 × 10⁵⁸ and 2 × 10⁻²³
Then the product of the expressions will be
(2 × 10⁵⁸) × (2 × 10⁻²³) = 2 × 10⁵⁸⁻²³
(2 × 10⁵⁸) × (2 × 10⁻²³) = 2 × 10³⁵
More about the multiplication link is given below.
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There was a population of 160 beavers in a National Park. After a year, the population increased by 45%. How many beavers are there in the park now?
Answer:
232
Step-by-step explanation:
→ Find the percentage multipier
( 100 + 45 )÷ 100 = 1.45
→ Multiply this by the original amount
1.45 × 160 = 232
8 > −4; Subtract 8 from both sides.
The resulting inequality is:
Answer:
True, (-∞, ∞) 0 > -12
Step-by-step explanation:
8 > −4
8 - 8 > −4 - 8
0 > -12
Hope it helps :)
If you have any questions or anymore help lmk, happy to help with any school work!!
Have a nice day, you’ll make it thru :)
(shhhh i added your deleted question to this one as well, Image below)
Please help me with this problem
Answer:
1516
Step-by-step explanation:
hope can help you
2000x 2%=40
9000x 5%= 450
(30000-9000-2000) x 5.4% = 1026
total tas 40+450+1026=
a triangle that has 2 side lengths of 8 and 12 if x represents the length in inches on the third side, which inequality gives the range of possible values for x
Based on the triangle inequality theorem, the inequality that gives the range of possible values for x is: 4 < x < 20.
What is the Triangle Inequality Theorem?The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.
Therefore, the range of values that is possible for x would be:
12 - 8 < x < 12 + 8
4 < x < 20
The inequality is: 4 < x < 20
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Find the range of the following data. Answers are rounded to the nearest tenth. 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84
Answer:
Step-by-step explanation:
Remeber range is the difference between the highest and lowest values in a set of numbers. so 79 right rounded to the nearst tenth the answer will be 80
Calculate the distance between the points C = (-5, 9) and G=(-2, 4) in the coordinate plane.
Give an exact answer (not a decimal approximation).
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ C(\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad G(\stackrel{x_2}{-2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ CG=\sqrt{[-2 - (-5)]^2 + [4 - 9]^2}\implies CG=\sqrt{(-2+5)^2+(-5)^2} \\\\\\ CG=\sqrt{3^2 +(-5)^2}\implies CG=\sqrt{34}[/tex]
Colin invests £2900 into his bank account.
He receives 3% per year compound interest.
How much will Colin have after 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
£3263.98 (nearest penny)
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = £2900r = 3% = 0.03n = 1t = 4Substituting given values into the formula and solving for A:
[tex]\implies \sf A=2900(1+\frac{0.03}{1})^{1 \times 4}[/tex]
[tex]\implies \sf A=2900(1.03)^{4}[/tex]
[tex]\implies \sf A=3263.975549[/tex]
Therefore, Colin will have £3263.98 after 4 years (to the nearest penny).
Answer:
$3264
Explanation:
[tex]\sf compound \ interest : P(1+\frac{r}{100} )^n[/tex]
"P" is principal, "r" is rate of interest, "n" is time (years)
Here given:
principal: £2900rate of interest: 3%time: 4 yearsAfter 4 years amount:
[tex]\rightarrow \sf 2900(1+\frac{3}{100})^4[/tex]
[tex]\rightarrow \sf 2900(1.03)^4[/tex]
[tex]\rightarrow \sf 3263.9755[/tex]
[tex]\rightarrow \sf 3264[/tex] (rounded to nearest whole number)
Need Help With This Fast!!!!
Answer:
yes
Step-by-step explanation:
the slope stays constant throughout
100 POINTS! College Statistics
*Wrong/Spammy Answers will be removed*.
Check the attachment for the whole question. Ignore letter e
(a) Collision claims tend to be skewed right because there are a few very large collision claims relative to the majority of claims.
These large collision claims skew the data to the right because they are outliers that draw the mean higher than it should be.
The answer cannot be "no large collision claims" or "many large collision claims" because then the data would not be skewed.
(b) Since there are two random samples comparing two means, we will be using a 2-Samp-T-Test. We will use Welch's approximate t-test, where we test the hypothesis that these two populations have the same mean.
We want to determine if 20-24 year old drivers have the same mean collision cost as 30-59 year old drivers.
(c) The null hypothesis is that the mean claim of collision costs for 20-24 year old drivers is the same as the mean claim of collision costs for 30-59 year old drivers.
We can also rewrite this as:
H₀: μ₁ = μ₂where μ₁ is the mean collision claims for 20-24 year old driversand μ₂ is the mean collision claims for 30-59 year old driversThe alternative hypothesis is that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.
We can rewrite this as:
H₁: μ₁ > μ₂Our variables have already been defined(d) In order to calculate the p-value, we must find the test statistic first.
We can do so by using this formula:
[tex]\displaystyle t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]We are given these variables in the problem:
[tex]x_1=4590[/tex][tex]s_1=2302[/tex][tex]x_2=3670[/tex][tex]s_2=2029[/tex][tex]n_1=40[/tex][tex]n_2=40[/tex]Substitute these variables into the formula for the test statistic.
[tex]\displaystyle t=\frac{4590-3670}{\sqrt{\frac{2302^2}{40} +\frac{2029^2}{40} } }[/tex]You can use the calculator to solve this expression, or plug the numbers into your calculator using: STAT - TESTS - 4:2-SAMPTTEST.
Your test statistic should be: t = 1.8962.
The calculator should also tell you the p-value; p = .0308.
(e) Since p = .0308 < α = .1, reject the null. We have convincing statistical evidence that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.
how do you solve x2 – 4 = 5 by graphing the related function
Answer:
see attached
Step-by-step explanation:
The related function we like to graph is the one that has the solutions as its zeros.
__
Subtract 5 from both sides.
x² -9 = 0
This is now in the form ...
f(x) = 0
The related function is then ...
f(x) = x² -9
and its zeros are the solutions to the original equation. The zeros (x-intercepts) of f(x) are x = -3 and x = 3.
__
Additional comment
The second attachment shows a graph of the given equation. Essentially, its graph is two points on the number line: x = -3 and x = 3.
A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the situation. Use x to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.
Answer:
1. 6.75x or (6.75, 1)
2. buys 9 sandwiches.
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Three coins are flipped.
1. Make an organized list of the sample space for this experiment.
2. Which outcomes represent the event “at least two tails”?
3. What is the probability that there will be at least two tails
I will give brainliest if I see a answer labeled like this 1., 2., 3.,
I can only give brainliest if 2 people answer
Thanks so much! (๑>◡<๑)
Step-by-step explanation:
1.
when 3 coins are flipped the following outcomes are possible
h = heads, t = tails
h h h
h h t
h t h
h t t
t h h
t h t
t t h
t t t
yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means
2×2×2 = 2³ = 8 possibilities.
2.
at least 2 tails means 2 or 3 t in the list item :
h t t
t h t
t t h
t t t
3.
so, 4 out of the 8 possible outcomes. the probability is then therefore
4/8 = 1/2 = 0.5
What are the measures of ∠CED and ∠BCE in the figure?
Answer:
∠CED = 70°
∠BCE = 134°
Step-by-step explanation:
Finding z :
∠EDC = ∠ABC (Alternate angles)8z = 64z = 8Finding ∠CED :
∠CED = 9z - 2∠CED = 9(8) - 2∠CED = 70°Finding y :
∠CDE = ∠BAC (Alternate angles)70 = 3y + 103y = 60y = 20Finding ∠BCE :
∠BCE = 7y- 6∠BCE = 7(20) - 6∠BCE = 134°Answer:
∠CED = 70°
∠BCE = 134°
Step-by-step explanation:
We don't know if AB and DE are parallel (since there are no arrows on these line segments), therefore we cannot use the Alternate Interior Angles Theorem at this point to definitively say that ∠CDE = ∠ABC.
Angles around a point sum to 360°
Angles on a straight line sum to 180°
⇒ ∠ACB + ∠BCE = 180
⇒ ∠ACB + (7y - 6) = 180
⇒ ∠ACB = 180 - (7y - 6)
⇒ ∠ACB = 180 - 7y + 6
⇒ ∠ACB = 180 - 7y + 6
⇒ ∠ACB = 186 - 7y
The interior angles of a triangle sum to 180°
⇒ ∠ACB + ∠CBA + ∠BAC= 180
⇒ 186 - 7y + 64 + 3y + 10 = 180
⇒ 260 - 4y = 180
⇒ 4y = 80
⇒ y = 20
Using the found value of y to find ∠BCE:
⇒ ∠BCE = 7(20) - 6
⇒ ∠BCE = 134°
Angles on a straight line sum to 180°
⇒ ∠DCE + ∠BCE = 180
⇒ ∠DCE + 134 = 180
⇒ ∠DCE = 46°
The interior angles of a triangle sum to 180°
⇒ ∠DCE + ∠CED+ ∠EDC = 180
⇒ 46 + (9z - 2) + 8z = 180
⇒ 17z + 44 = 180
⇒ 17z = 136
⇒ z = 8
Using the found value of z to find ∠CED:
⇒ ∠CED = 9(8) - 2
⇒ ∠CED = 70°
HELP PLEASE FOR BRAINLIEST
Answer: can i get
Step-by-step explanation:
Whats the volume of the solid?
A. 8
B 12
c 32
d. 64
I WONT BREATHE UNTIL U ANSWER ME
The volume of the solid will be equal to V=64 Cubic inches.
What is volume?The space occupied by any solid object in the three-dimension is called as the volume.
Here we have 8 cubes in the solid object each cube has the side equal to 2 inches.
So the volume of one cube will be:
V=a³=2³=8 cubic inches
Since total number of the cubes are 8 so total volume will be:
V=8x8=64 cubic inches
hence the total volume will be equal to 64 cubic inches`
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30. Find the volume of the figure below.
21 km
15 km
19 km
9 km
Answer:
See below ....none of your answer choices 'fit'
Step-by-step explanation:
Break it into two pieces....a triangular prism and a square pyramid
prism volume = (area) * length
( 1/2 base * height) * length
Use pythagorean theorem to find height of triangular prism = 12
1/2 * 12 * 9 * 21 = 1134 km^3
Pyramid volume = 1/3 base * height =
= 1/3 * (9*21) * 7 = 441 km^3
Summed = 1575 km ^3
Asking for help on this again because i reallu need it!!
Answer:
5. 5.8
6. 6
7. 6
Step-by-step explanation:
5. mean - add all values and divide by the number of values
2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10 = 75
mean = 75/13 = 5.8
6. median - middle value of values written in ascending order.
2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10
median = 6
7. mode - value that occurs most times
mode = 6
which digit is in the hundredths place of the decimal number 6.537?
The side length of an equilateral triangle is 5 cm.
Find its perimeter
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
The side length of an equilateral triangle is 5 cm. Find its perimeter.
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We are given that the triangle is equilateral.
"equi" means "equal" and "lateral" means "sides"
✯ So an equilateral triangle has 3 equal sides.
We are also given that one side is equal to 5 cm.
If one side is equal to 5 cm, and the triangle's equilateral, then the other two sides are equal to 5 cm.
◈ In order to find the perimeter of a shape, you should add all of its side lengths together.
✯ Now, we need to find the perimeter, which we can find using the following formula:-
[tex]\bold{Perimeter_{(triangle)}=a+b+c}[/tex]
Where a, b, and c are side lengths of the triangle.Now, we add them:-
[tex]\hookrightarrow\sf{P=5+5+5}[/tex]
So we conclude that the perimeter is equal to:-
[tex]\hookrightarrow\sf{P=15\:cm}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Find the sale price regular price $ 12.88 discount %15
Answer:
$ 1.932
Step-by-step explanation:
What is the coefficient of z in 14xy2z - 3?
Answer:
2
Step-by-step explanation:
Somebody’s please help me with this it’s due tomorrow and I don’t have any idea how to do it
Answer:
1) They will stop 10 times for a break
2) A baker can make 10 cakes
3) Tammy will distrubute 36 bags with 2 1/2 pounds of candy
Step-by-step explanation:
Let me know if you have any questions !
Hope it helps
There are 50 roses in a tray. There is at least 1 red rose among any 24 randomly selected roses, and there is 1 white rose among any 28
randomly selected roses. How many white roses are there? QUICK PLS
So probability of red rose is 1/24
Probability of white rose is 1/28
TOTAL roses= 50
P(A)=(1/24)P(B)=1/28=0.035P(AUB)=1/50P(A$\cap$ B)=1/24+1/28-1/50
175+150-84/4200241/4200=0.057So Probability of white is
0.057-0.0350.022How do I answer this 1x+2
Answer:
x+2
Step-by-step explanation:
Given polynomial:
1x+2
x can be written as 1x, which is
1x = xSame case is here as well.
Rewrite 1x as x:
x + 2There isn't any like terms so we can't simplify.
Which number is a factor of the prime factorization of 60?
3
9
15
6
Answer:
3
Step-by-step explanation:
Prime factorization
60 = 2 x 2 x 5 x 3
9 15 and 6 are NOT prime numbers !
How to find the mean?
Answer:To find the mean of a data set, add all the values together and divide by the number of values in the set.
Step-by-step explanation:
How many days would it take to breathe one billion times if you were
breathing at a rate of 12 times per minute?
Answer:
I think it would be 1,000,000.
Step-by-step explanation:
Let's begin with a correction: the verb in question is TO BREATHE; one instance of doing so is the noun BREATH.
12 times per minute; 60 minutes per hour; 24 hours per day; multiplying all of these gives some number of breaths per day. I'm going to call it B (you can calculate it).
Answer:
Step-by-step explanation:
12 / min
720 / hr
17,280 / day
6,307,200 / yr
Now divide 1,000,000,000 by 6,307,200 and you get 158 years
Suppose the demand for Volkswagen Beetles in Mexico is described by the function D=33.000-2P. where D is the quantity of Beetles that will be demanded when the price is P dollars. Suppose further that the supply S of Volkswagen Beetles follows the functional relationship S = 6000 + P Solve for the equilibrium price P which is the value of at which demand would equal supplyi.e. at which D = S
what's the answer???????
Answer:
i belive 7
Step-by-step explanation:
becuse 3+6 in one line = 9 so 2 + 7= 9