Answer:
6+33 and 3(2)+3(11) are the correct answers.
Step-by-step explanation:
Find the length of the missing side
Answer:
c²=a²+b²
17²=289
10²100
a=√(17²-10²)
so 289-100=189
square root answer
=13.7477270849
Answer:13.75
Mike paid $300 to join a gym, for one year, including a membership fee of $60. What is the monthly cost? Write
and solve an equation. Let m represent the monthly cost.
Answer:
720
Step-by-step explanation:
60×12=720 so the monthly yearly coast would be 720
Shaneya purchased a membership to play basketball at her local gym. The membership costs $75 for the year, plus she pays $3 to rent equipment each time she goes. If Shaneya doesn't want to spend any more than $150 on basketball for the year, what is the maximum amount of times can she go to the gym to play?
Answer:
25
Step-by-step explanation:
Step one:
given data
We are told that Shaneya purchased a membership to play basketball at her local gym.
Costs = $75 for the year,
Rent = $3 for equipment each time she goes
Given that she has $150 to spend,
Step two:
Firstly, let us model the situation
let the total amount she has to spend be y
and the number of time she goes to the gym be x
y= 75+3x
for y= 150, let us find the value of x
150= 75+3x
150-75= 3x
75= 3x
divide both sides by 3
x= 75/3
x=25 times
The maximum amount of times is 25
you have an intial amount of $45 in a savings account and you deposit an equal amount into the account each week. After 5 weeks the account holds $105. Write an equation that repersents the amount y (in dollors) of money in the account after x weeks
Answer:
$45 * X weeks = Y money
Step-by-step explanation:
12. A culture of bacteria in the lab doubles every 6 minutes. Assume the growth follows a continuous exponential
model and you start with only 2 bacterium.
Using an appropriate exponential base, if this pattern continues to be applicable, find the time in
which the number of bacteria would reach 109. (Round to the nearest minute.)
Answer:
18 minutes
Step-by-step explanation:
if you divide 109 by 6, ya get 18.166666-
A cleaning company charges $3 per square foot and a flat fee of $100. Which of the equations below shows the cost y, in dollars, of cleaning a patio that is x square foot? Hint: find the key words and corresponding amounts for "m" and "b."
Step-by-step explanation:
Y= 3x + b
As, to know the total, which is y, we need to solve for the cost
So first for money per square foot = $3
For square foot = x
So, price for x square foot = $3x (here this is the value of m)
Now, for value b,
$100 is added to the cost as its the charge, as the flat fee
So the value of b = $100
So, y=3x+100
Is (-1,2) a solution to the following linear equation:
2x + y = 2
Answer:
No
Step-by-step explanation:
plug in the variables into the equation
(x,y)
(-1,2)
2(-1)+2=2
2*-1=-2
-2+2=0
2 does not equal 0 so therefore no, it is not a solution
m∠1=(3x+8)°, m∠2=(3x+18)°, and m∠3=(7x+9)°. What is m∠3?
Answer:
87.4°
Step-by-step explanation:
(3x + 8) + (3x + 18) + (7x + 9) = 180
3x + 8 + 3x + 18 + 7x + 9 = 180
add the common numbers
13x + 35 = 180
subtract 35
13x = 145
divide 13
x = 11.2
then plug it back in to m<3
7(11.2) + 9
78.4 + 9
= 87.4°
What does X = In question 2
Answer:
10
Step-by-step explanation:
10/5=2/1 or 2
4+2=6
Find a solution for
-2/9 = 4/m
I think its -18
Step-by-step explanation:
-2/9 = 4 /m
-2 ×-2 = 4
so you would do the same to the bottom
9 ×-2 = -18
sorry if I'm wrong
Solve:
(-5) + (-18) =
A-13
B
--23
C С
23
D
13
it is -23 I think
Step-by-step explanation:
(-5)+(-18)=-23
What is the final amount if 784 is decreased by 1% followed by a 4% increase?
Give your answer rounded to 2 D
Answer:
807.21
Step-by-step explanation:
for the 1 % decrease
1/100 × 784 = 7.84
784 - 7.84 = 776.16
then 4% increase
4/100 × 776.16 = 31.0464
776.16 + 31.0464= 807.2064
in 2 Decimal places
807.21
Answer:890
Step-by-step explanation:
use the quotient rule to find the derrivatives of 3/x^2
With full process
Answer:
[tex]\displaystyle \frac{d}{dx} \Big [ \frac{3}{x^2} \Big ]=-\frac{6}{x^3}[/tex]
Step-by-step explanation:
We can use either the Power Rule or the Quotient Rule to find the derivative of 3/x².
Power Rule: [tex]\displaystyle \frac{d}{dx}[ x^n] = nx^n^-^1[/tex]Rewrite [tex]\displaystyle \frac{3}{x^2}[/tex] as [tex]\displaystyle 3\cdot \frac{1}{x^2}[/tex] which is equivalent to [tex]3\cdot x^-^2[/tex].
Now we can apply the power rule to 3x⁻². Subtract 1 from the exponent and multiply the coefficient by -2.
3(-2)x⁻³ = -6x⁻³This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex].
Quotient Rule: [tex]\displaystyle \frac{d}{dx} \Big [ \frac{f(x)}{g(x)} \Big ]=\frac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]Substituting 3 for f(x) and x² for g(x), we get:
[tex]\displaystyle \frac{(x^2)(0)-(3)(2x)}{(x^2)^2}[/tex]Simplify.
[tex]\displaystyle \frac{-6x}{x^4}[/tex]Using exponent rules, we can rewrite this as:
[tex]-6x^1^-^4 = -6x^-^3[/tex]This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex], which is the same as what we got using the product rule.
Answer:
[tex]\displaystyle \frac{d}{d x}\left[\frac{3}{x^2}\right] = -\frac{6}{x^{3}}[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] denote two functions of [tex]x[/tex]. Assume that [tex]g(x) \ne 0[/tex]. The quotient rule states that:
[tex]\displaystyle \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right] = \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2}[/tex].
In this question:
The numerator of the fraction is [tex]f(x) = 3[/tex] (a constant function.)The denominator of the fraction is [tex]g(x) = x^{2}[/tex].Find [tex]{f}^{\prime}(x)[/tex] and [tex]{g}^{\prime}(x)[/tex].
Notice that the value of [tex]f(x)[/tex] is constantly [tex]3[/tex] regardless of the value of [tex]x[/tex]. By the constant rule, [tex]{f}^{\prime}(x) = 0[/tex].
For [tex]{g}^{\prime}(x)[/tex], consider the power rule:
if [tex]m[/tex] represents a rational number (such as [tex]2[/tex],) then by the power rule, [tex]\displaystyle \frac{d}{d x}\left[{x}^{m}\right] = m\, {x}^{m-1}[/tex].
Apply this rule to find [tex]{g}^{\prime}(x)[/tex].
[tex]\begin{aligned}{g}^{\prime}(x) &= \frac{d}{d x} \left[x^{2}\right] \\ &= 2\, x^{2 - 1} \\ &= 2\, x\end{aligned}[/tex].
Substitute [tex]f(x) = 3[/tex], [tex]{f}^{\prime}(x) = 0[/tex], [tex]g(x) = x^{2}[/tex], and [tex]{g}^{\prime}(x) = 2\, x[/tex] into the quotient rule expression to find [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right][/tex]:
[tex]\begin{aligned}&\; \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] \quad \genfrac{}{}{0em}{}{\leftarrow f(x) = 3}{\leftarrow g(x) = {x}^{2}} \\ =&\; \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right]\\ =&\; \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2} \\ =& \; \frac{0 \, x^2 - 3\, (2\, x)}{\left({x}^{2}\right)} \\ =&\; -\frac{6}{x^{3}}\end{aligned}[/tex].
Therefore, [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] = -\frac{6}{x^{3}}[/tex].
A birdwatcher recorded how many birds were in two different parks each day for four days. The data is shown in the table.
Day
1 | 2 | 3 | 4
Park A 10 12 14 16
Park B 2 4816
Move options to the blanks to compare how the bird population is growing at each park.
Each day, the number of birds in Park A grows by
Each day, the number of birds In Park B grows by
If this pattern continues after day 4. Park
will always have more birds.
an increasing amount
a decreasing amount
the same amount
А
B
Answer:
Step-by-step explanation:
what’s the answer?
simplify 3 to the 2nd power + 1 x 2
Write the equation of the line based on the graph below
Answer:
The answer is
[tex]y = 2x + 4[/tex]
Step-by-step explanation:
Remember ↷
[tex]Slope = \frac{rise}{run} [/tex]
i need help asp pls.
Can anyone help me understand?? I genuinely don’t understand. Thank you!
9514 1404 393
Answer:
y = (1/4)x^2 -x -4
Step-by-step explanation:
When you are given a focus and a vertex, the equation of a parabola can be written as ...
y = (1/(4p))(x -h)² +k . . . . . . vertex (h, k); focus-vertex distance p
Here, the vertex is (h, k) = (2, -5) and the focus-vertex distance is 1. That means the equation of the parabola in vertex form* is ...
y = (1/4)(x -2)² -5
Expanding this equation, we get ...
y = (1/4)(x² -4x +4) -5 = (1/4)x² -x +1 -5
Then the standard form equation is ...
y = (1/4)x² -x -4
_____
* In the UK, and perhaps other places, the vertex form is referred to as "standard form." You need to be aware of the form that is being requested here. I have answered using the US version of "standard form." YMMV
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid
9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
__
The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
The answer is 470.16 cm²
Find the slope and the -intercept of the line. y=-1/5x+7 plz i need help
Answer:
slope= -1/5
y-intercept=7
Step-by-step explanation:
y=mx+b is a linear equation
m=slope
b=y-intercept
yoooyoyooyoyoyoyoyoyoyooyo help
Answer:
Step-by-step explanation:
according the the pythogryamthreme the distance between 30 degress and 40 would vary since the length of 40 would change there by multipling 2 to 40 and 30 then times that by pie then divide it by 2 you should get the value for x, but for y it is more complex you see you much find the slope and plabora of the value x and 40 then using the 2 numbers times it by 30 after divide both numbers to each other resulting in the answer
Can somebody plz help answer the missing terms correctly thanks so much!!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answer:
Step-by-step explanation:
your mom
Answer:
9. 5
10. 3
11. 1
12. 7
13. 48
14. 24
15. 9
16. 6
Please help-help-help
Answer:
both I think hope u get it right
Sarah and $600 per week and spends 15% of earnings on transportation how much does Sarah Spain and transportation every week plz this is very important
Answer she spent 90$ so she should have 510 dollars left
Step-by-step explanation:
15% of 600 is 90. 90-600=510
About 7/10 of the surface of the earth is covered with water. Express this as an equivalent fraction with 100 as the denominator. Fraction with 100 as denominators are known as per cent 50/100 means 50 per cent. So what percentage of the earth's surface is covered with water? What percentage covered with land
Answer:
70/100
Step-by-step explanation:
Surface of the earth covered with water = 7/10
Equivalent fraction of 7/10 with 100 as the denominator = 70/100
This means 70% of the earth surface is covered with water
Percentage covered with land = Total percentage - percentage covered with water
= 100/100 - 70/100
= 100-70/100
= 30/100
Percentage covered with land = 30%
ILL GIVE BRAINLIEST!!!!
9. Fred bought 24 new baseball cards for $50. There were two types of cards. One type cost $1 per card, and the other cost $3per card. Define the variables, and write a system of equations to find the number of each type of card he bought. Then solve the system using the best method for the situation.
Answer:1$ cards = 11 cards 3$ cards= 13
Step-by-step explanation:the first equation is -x-y=-24 and the second is x+3y=50. Solving them as a system will get 2y=26 to y=13 then plug in 13 to the y for -x-y=-24 to get 11. Mr jacobs is hard I know lol. Use elimination by subtraction and keep the first equation as x+y=24 and then flip to negative
WILL GIVE FAST BRAINLIEST
3(2x^4y^6)^5 / (3x^6y^3)^4
Fraction btw show work or no brainly
Answer:
32y^18/27x^4
Step-by-step explanation:
I factored the numerator and denominator and canceled the common factors
the price of a computer was decreased by 20% to £136. what was the price before it was decreased
Answer:
170
Step-by-step explanation:
Let x be the original price
x* .20 is the decrease
x - .20x = new price
.80x = new price
.8x = 136
Divide each side by .8
.8x/.8 = 136/.8
x =170
Answer:
7
Step-by-step explanation:
WILL GIVE BRAINLIEST !! Ella needs at least $360 to pay for her spring break expenses and she is saving $25 from each of her weekly paychecks. How long will be before she can pay for her trip?
Answer:
At least 15 weeks
Step-by-step explanation:
If Ella needs at least $360, she will have to save her $25 constantly for about 15 weeks.
25*15=375, which is more than 360, so she will have leftover money.
Answer:
2 weeks + 1day
Step-by-step explanation:
7 days a week. 7 + 7 = 14
25 x 14 = $350, missing another 10 dollars.
25 x 15(adding a extra day) = 275.
in change, you have 15 dollars left.
help me find the area :)
Answer:
20.625 ft²
(hope this is right :)
