Answer:
Step-by-step explanation:
f(x) = x² + 2x + 5
f(x+3) = (x+3)² + 2(x+3) + 5
= (x²+6x+9) + (2x+6) + 5
= x² + 8x + 20
Answer:
you sure its not f(x+3) ?
Step-by-step explanation:
simplify
[tex] \sqrt{324} [/tex]
A. 16
B. 17
C. 18
D. 19
Answer: C) 18
Step-by-step explanation:
Your problem → Simplify square root of 324
First find factors of 324
2 324
2 162
3 81
3 27
3 9
3 3
1
324=2×2×3×3×3×3
324 = 2^2 × 3^4
Taking squareroot
∴√324=√2^2 × 3^4
=2 × 3^2
=18
∴ 324 is a perfect square
Simplify:-8у – (х- 4x) +3y
Answer:
=3x−5y
Step-by-step explanation:
Answer: =3x−5y
Step-by-step explanation:
Simplify: 5!
A. 5
B. 20
C. 120
D. 240
Answer:
it would be 5
Step-by-step explanation:
I don't have an explanation I just know it is 5
PLS HELP. Find the value of each variable.
6. x=100
7.x=75
8.x=30
10.x=112
11.x=58 y=58
Answer:
6) x = 70°
7) x = 75°
8) x = 30°
10) x = 112°
11) x = 58° , y = 58°
Step-by-step explanation:
6) two congruent sides means two congruent angles
x + x + 40 = 180 2x = 140
7) two congruent sides means two congruent angles
both base angles measure 75 degrees
8) isosceles triangle (has two equal sides) 75(2) + x = 180 150 + x = 180
10) two congruent angles means two congruent sides
44 + 2n = 180 2n = 136 n = 68
angles n and x form a linear pair and equal 180
180 - 68 = 112
11) isosceles triangle so ∡x = ∡y 64 + x + x = 180
64 + 2x = 180 2x = 116 x = 58
Need help #3. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
A
Step-by-step explanation:
We are given a right triangle with a base of x feet and a height of h feet, where x is constant and h changes with respect to time t.
The angle in radians is defined by:
[tex]\displaystyle \tan(\theta)=\frac{h}{x}[/tex]
And we want to find the relationship that describes dθ/dt and dh/dt.
So, we will differentiate both sides with respect to t where x is a constant:
[tex]\displaystyle \frac{d}{dt}[\tan(\theta)]=\frac{d}{dt}\Big[\frac{h}{x}\Big][/tex]
Differentiate. Apply the chain rule on the left. Again, remember that x is just a constant, so we can move it outside the derivative operator. Therefore:
[tex]\displaystyle \sec^2(\theta)\frac{d\theta}{dt}=\frac{1}{x}\frac{dh}{dt}[/tex]
Since we know that tan(θ)=h/x, h is the opposite side of our triangle and x is the adjacent. Therefore, by the Pythagorean Theorem, our hypotenuse will be:
[tex]\text{Hypotenuse}=\sqrt{h^2+x^2}[/tex]
Since secant is the ratio of the hypotenuse to adjacent:
[tex]\displaystyle \sec(\theta)=\frac{\sqrt{h^2+x^2}}{x}[/tex]
So:
[tex]\displaystyle \sec^2(\theta)=\frac{x^2+h^2}{x^2}[/tex]
By substitution, we have:
[tex]\displaystyle \Big(\frac{x^2+h^2}{x^2}\Big)\frac{d\theta}{dt}=\frac{1}{x}\frac{dh}{dt}[/tex]
By multiplying both sides by the reciprocal of the term on the left:
[tex]\displaystyle \frac{d\theta}{dt}=\frac{1}{x}\Big(\frac{x^2}{x^2+h^2}\Big)\frac{dh}{dt}[/tex]
Therefore:
[tex]\displaystyle \frac{d\theta}{dt}=\frac{x}{x^2+h^2}\frac{dh}{dt}[/tex]
Our answer is A.
What is the volume of the following rectangular prism?
2 units
3
3- units?
Plssss help ASAP!!!
Answer:
13.5
Step-by-step explanation:
ngl i asked siri
the sum of three and 4 times a number is 19, what is that number
Answer:
4
Step-by-step explanation:
Let the number be x.
3 + 4x = 19
4x = 19 - 3
= 16
x = 16 ÷ 4
x = 4
The number is 4.
Write an equation in slope intercept form of the line that passes through the given points (-3, 3) and (1,2) HELP
Answer:
The answer is [tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]
Step-by-step explanation:
❃Incase you forgot what the slope-intercept formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, what the slope formula is ☟
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆ First: We are going to be solving for the slope.
[tex]m = \frac{2- 3}{1 - ( - 3)} = \frac{ - 1}{4} = - \frac{1}{4} [/tex]
☆Second: We are going to find the y-intercept.
[tex]y = mx + b \\ 3 = - \frac{1}{4} ( - 3) + b \\ 3 = \frac{3}{4} + b \\ \frac{ - \frac{3}{4} = - \frac{3}{4} \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ 9}{4} = b \: \: \: \: \: \: \: \: } [/tex]
☆Third: Plug in.
[tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]
a person runs around a square field of side 70m, while another person runs around a rectangular field with length 90m and breadth 60m. Who covers more distance by how much?
[tex]\huge\underbrace\red{Answer}[/tex]
Given :- Side of the square field = 70mLength of the rectangular field = 90mBreadth of the rectangular field = 60mTo Find :- Perimeter of the square fieldPerimeter of the rectangular fieldSolution :-Perimeter of the square = 4 × side
By substituting values,
⇒ 4 × 70m
➥ 280m
Hence, A Person runs 280m around a Square fieldPerimeter of the rectangle = 2( length + Breadth)
By substituting values,
⇒ 2( 90m + 60m )
⇒ 2( 150m)
➥ 300m
Hence, A Person runs 300m around a rectangular fieldDifference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field
By substituting values,
⇒ 300m - 280m
➠ 20m
Hence, The person runs more around a rectangular field by 20mwhat is 1/2 x 60 and what is 3/10 x 1,000
1/2 x 60 = 30 3/10 x 1000 = 300
cancel the common factor of 2 simpplify the expression
Answer:
1/2 x 60= 30 and 3/10 x 1,000= 3,000
Step-by-step explanation:
helpppp PLZZZZZZZZZ
thx will appreciate that
Answer:
I think you multiply its height by its width for the area, the volume= LXWXH.
Step-by-step explanation:
Step-by-step explanation:
First , Split the given shape into two parts : Trapezium and rectangle :
Here , 18 m and 11 m are the opposite parallel side and (15-8) = 7m is the height of the trapezium.
[tex] \boxed{ \sf{Area \: of \: trapezium = \frac{1}{2} h(a + b)}}[/tex]
⤑ [tex] \tt{ \frac{1}{2} \times 7(18 + 11})[/tex]
⤑ [tex] \sf{ \frac{1}{2} \times 7 \times 29}[/tex]
⤑ [tex] \sf{101.5 \: {m}}^{2} [/tex]
Area of trapezium = 101.5 m²
In rectangle , 18 m is the length and 8 m is the width.
[tex] \boxed{ \sf{Area \: of \: a \: rectangle = l \times w}}[/tex]
⤑ [tex] \sf{18 \: m \: \times 8 \: m}[/tex]
⤑ [tex] \sf{144 \: {m}}^{2} [/tex]
Area of a rectangle = 144 m
Now , Finding total area of given shape :
[tex] \boxed{ \sf{Total \: area = Area \: of \: trapezium + area \: of \: a \: rectangle}}[/tex]
⤑ [tex] \sf{101.5 \: {m}^{2} + 144 \: {m}}^{2} [/tex]
⤑ [tex] \sf{245.5 {m}}^{2} [/tex]
[tex] \red{ \boxed{ \boxed{ \tt{⇾ \: Our \: final \: answer : \boxed{ \underline{ \tt{245.5 \: {m}^{2} }}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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A card is chosen at random from a standard deck of cards. What is the probability that the card chosen is a heart or spade? Are these events mutually exclusive?
Answer:
a. Probability is 50%
b. Picking either a heart or spade is mutually exclusive
Step-by-step explanation:
There are 52 cards in a deck of cards.
Of those 52, 13 are hearts and 13 are spades.
The probability of picking wither of them is therefore:
= (13 + 13) / 52
= 26/52
= 50%
Mutually exclusive events are those that cannot occur at the same time. You can either pick a heart or you can pick a spade. You cannot pick both at the same time so these are mutually exclusive.
The inverse of F(x) is a function.
Answer:
Step-by-step explanation:
the word inverse refers to the opposite of another operation.
The inverse of the function f is denoted by f -1.
If you found my answer useful then mark me brainliest.
Justin did push-ups every weekday this week.
He did 8 push-ups on Monday, 14 push-ups
on Tuesday, 18 push-ups on Wednesday, 6
push-ups on Thursday, and 8 push-ups on
Friday,
Find the mean number of push-ups.
Answer:
10.8
Step-by-step explanation:
8+14+18+6+8=54
54/5=10.8
Answer:
18
Step-by-step explanation:
The maximum number of push-ups that Justin did in a day this week was 18.
I also literally just did it
So I don't know why the guy above me has it correct, I mean someone said tysm so I guess he's correct ;/
(1,10), (18.-10) slope
Answer:
I think the slope is -20/17 hope this helps
Write the expression below as a product of two factors 6m +8n + 4
Answer: 2(3m+4n+2) is the answer
Explanation: because I’m smort;)
John is going to invest in an account paying an interest rate of 3.8% compounded
daily. How much would John need to invest, to the nearest hundred dollars, for the
value of the account to reach $1,880 in 20 years?
Answer:
900
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
Part A
The data in the line plots show the number of hours volunteers work each week for two different organizations. Find the measures of center and variability of the two sets of data.
Part B
What conclusions can you draw from the two sets of data? Select all that apply
A. Volunteers in organization B spend more time volunteering than volunteers in organization A
B. The median of organization A's data and organization B's data is the same
C. The range of organization B's data is greater than the range of organization A's data
D. The mean and the median of organization A's data are the same
E. The mean and the median of organization B's data are the same
Answer:
line plots do you mean number line, cos no pic is attached
help me plz
The stage manager of a school musical is trying to figure out how many sandwiches he can order with the $83 he collected from the cast and crew. Sandwiches cost $5.99 each, so he lets x represent the number of sandwiches he will order and writes 5.99x < 83. He solves this to two decimal places and gets x < 13.86.
Which of these are valid statements about this situation? Select all that apply.
1) He can call the sandwich shop and order exactly 13.86 sandwiches.
2) He can round up and order 14 sandwiches.
3) He can order 12 sandwiches.
4) He can order 9.5 sandwiches.
5) He can order 2 sandwiches.
6) He can order -4 sandwiches.
Justify your answer(s).
Answer:
Step-by-step explanation:
1) it is not this answer because you cant order 13.86 sandwiches. it has to be a whole number.
2) Not this answer. If he bought 14 sandwhichs hed have to pay 83.86 and he doesnt have 36 cents xtra.
3) He CAN order 12 sandwhiches. if he has $83 and if you bought twelve sandwiches he would spend $71.88 which is still within the range he can buy from.
4) He CANNOT order .5 of a sandwhich so i wouldnt select this one.
5) He CAN order 2 sandwhiches. he has enough money for that
6) he CANNOT order negative amount of sandwhiches.
solve for c
c+d=15
3c+2d=36
Need help RIGHT NOW will mark brainliest
Multiply the top by -2 and just cross elimination the rest. Hope this helps.
Create a function that has two distinct roots: - 3/4 and -1?
Step-by-step explanation:
Sorry I cant get any more answers but I really hope that this helps
Answer:
(x+3/4)(x+1)
Step-by-step explanation:
you can learn this in algebra 2
plz brainliest!
Solve for x 3x-16 17x-382
Answer:
X = 9
Step-by-step explanation:
A dig-your-own potato farm charges $1.27 per pound of potatoes plus $0.20 per pound to clean the potatoes. Kevin digs 30 pounds of potatoes. The farm cleans 8 pounds for him. How much does Kevin pay in all?
so I really need help. you have to set fractions equal to each other and try and find out how many prefer sweaters and whatnot. Also, the answer isn't supposed to be a fraction, it's supposed to be a whole number, you find the answer by using fractions with the information provided in the word problem above ^
I hope that makes sense. lol, thank you :)
Answer:
84
Step-by-step explanation:
52%of math problem are pointless
52%of math problem = pointless
52% of 175
(52/100)×175
91 =pointless
math problem - pointless =not pointless
175 - 91 = 84
Would appreciate some help thanks
Answer:
f(8) = -9
Step-by-step explanation:
Substitute 8 in for x.
f(8) = -2(8) + 7
f(8) = -16 + 7
f(8) = -9
In the figure below, what are the lengths of “a”, “b”, and “c”? Round answers to nearest tenth.
Answer:
use a ruler to answer the question
the following figures are similar, find the value of x
Answer:
x=143
Step-by-step explanation:
scale factor (if that is the correct term) is 13. you find that by matching sides to side. this means that 91/7=13, therefore you know that 4*13 is 52 and 11*13 is 143
slope of the line (-3,-6) and (4,1)
Answer:
- 5 / 7
Step-by-step explanation:
1 - 6 = - 5
4 - - 3 = 7
write an equivalent expression for the following using distributive property A(9b+13)
apply distributive property AKA (A • 9b)+(A • 13)
9Ab + 13A
I hope this helps :)
[tex]601893654x59765=[/tex]
Answer:
3.5972174e+13 could i get brainliest please?
Step-by-step explanation: