Answer:
Let M represent the amout at any time.
She saves $40 per week so total amount becomes 40x in any specified week.
where x is the number of weeks.
In the start she has $500 in her bank account so we 'll add this amount into the savings per week. So expression becomes
M = 40x+500
Simply put number of week in place of x and find the total amount.
Step-by-step explanation:
Answer:
for c it is no
Step-by-step explanation:
it is no because she deposits 40 a week, in 4 weeks she deposits 40x4=160, which is nowhere close to the 700 she needs. Even if you count the 500 in her account it is still no since it would total up to 660, not 700
the capacity at the local pool is 225 people.
a. If there were 198 people at the pool, what is the percentage of capacity
b. if there were 180 people at the pool, what is the percentage of the capacity
a. 88%
b. 80%
Step-by-step explanation:
198/225=.88
180/225=.80
Express the confidence interval 0.777
ộHE = +0A rectangular prism has a height of 5 meters a length of 8 meters and a width is 9 meters. What is the volume of the prism
A ball is thrown from an initial height of 7 feet with an initial upward velocity of 37 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=7+37t-16t²
Find all values of t for which the ball's height is 27 feet.
round your answer(s) to the nearest hundredth.
Answer:
t = 0.86 or t = 1.45
Step-by-step explanation:
The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each
Answer:
Apple costs $0.26
and orange costs $0.32
sorry i don't have time to explain but if u have doubts don't hesitate to ask
he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population standard deviation is believed to be 3.2 minutes. The EMS director wants to perform a hypothesis test, with a .05 level of significance, to determine whether the service goal of 12 minutes or less is being achieved.
Answer:
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
The EMS director wants to service goal of 12 minutes or less is being achieved
Step-by-step explanation:
Step(i):-
Given that the size of the random sample = 40
Given that the mean of the sample (x ⁻) = 13.25
Given that the standard deviation of the Population = 3.2 minutes
Level of significance = 0.05
The mean of the Population (μ) = 12
Step(ii):-
Null hypothesis:-H₀: (μ) = 12
Alternative Hypothesis: H₁ : μ < 12
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]
Z = 2.5
The tabulated value Z₀.₀₅ = 1.96
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
Final answer:-
The EMS director wants to service goal of 12 minutes or less is being achieved
if the given expression is multiplied by 3^6, which expression is not equivalent?
Answer:
8
Step-by-step explanation:
I can't see the pic.
Kacie has a bag of
pretzels. She eats 1/3 of
the bag and gives 1/2 of
the bag to her brother.
How much of the bag
does she have left?
Answer: .
Step-by-step explanation:
find the volume of the cone. use 3.14 for pi. round decimal answers to the nearest tenth. diameter= 24ft height= 8ft
Pls help!
Which figure is a prism?
Answer:
the first red one, it's a triangular prism
Step-by-step explanation:
the second one is a triangular pyramid
the rest (third and fourth one) are square pyramids
Answer:
Its the first one
Step-by-step explanation:
Because a prism is a three-dimensional shape with identical ends, called bases, and flat sides called faces. These identical slices of a prism are called cross sections.
mark brainliest please.
Ben is flying a kite directly over his buddy Franklin, who is 125 meters away. His kite string makes a 39° angle with the level ground. How high is the kite?
Answer:
a=101.223
Step-by-step explanation:
use SOCATOA
or an online calculator
https://www.calculator.net/triangle-calculator.html?vc=x&vx=z&vy=y&va=39&vz=125&vb=90&angleunits=d&x=59&y=16
Can someone please help I really need the answer I give anyone a brainliest
Quadratic vs Exponential Functions
X
- 1000000x y-2
0
1
0
1
1000000
2
2
4000000
4
3
9000000
8
4
16
5
32
16000000
25000000
36000000
49000000
6
64
7
128
Question:
The table shows the behavior of a quadratic and an exponential function near the origin
A. Which function is growing more rapidly?
B. Between which X-values does the table indicate that the functions graphs have crossed?
C. Will the functions graphs ever intersect again? Can you prove this?
1)
Answer:
A) The first function (the quadratic one) is growing more rapidly.
B) Between x=0 and x=1.
C) We can assume that they don't intersect again.
Step-by-step explanation:
A)
The first function (the quadratic one) is growing more rapidly. We can see this because the difference between its y values is so much greater than the difference between the y values for the exponential function.
B)
Between x=0 and x=1. When functions intersect, their y and x values are equal. The y-values are equal at some point over x=0 and x=1 because they both cross over the same range (y=1 and y=2)
C)
We can assume that they don't intersect again because the y-values for the exponential equation will never reach the corresponding values for the quadratic equation; it simply isn't growing rapidly enough.
In a certain school, there are 4 girls for every 5 boys. If there are 560 girls in the school, how many boys attend school?
Answer:
700
Step-by-step explanation:
4girls=5boys
560girls=?
560*5/4
=700boys
Hello pls help will give good old BRAINLYEST YAY
Answer:
D
Step-by-step explanation:
The mean, median, and mode all are 3
I have no clue how to do this! please help me!!!
Answer:
The equation has one solution.
A value of x that makes the equation true is 5, which when substituted into the equation and simplified makes the equation turn into 10=10
A value of x that makes the equation false is 6, which when substituted into the equation and simplified makes the equation turn into 12=10
Step-by-step explanation:
2x=10
Divide both sides by two:
2x/2=10/2
x=5. There is no other solution to the equation, because 5 is the only possible answer.
Which of the following expressions could be used to find the area of the larger rectangle?
12 mm
4 mm
48 mm
16 mm
3164 mm2
9(64 mm
9(32 mm)
3(576 mm2
Answer:
12mm since its supposed to be for larger rectangles
Step-by-step explanation:
Please I really need to know how to do this ASAP
Answer:
the blue block 'side' is 10
the pink block ' bottom' is 9
the cream 'side' block is 13 (length)
the green back triangle next to the blue side is also 10
and the other side of the green back triangle is 8
What is the value of | -5 | ?
Answer:
if u mean absolute value it is 5.
the value is always positive an dmeans how far is it from the numberline
Step-by-step explanation:
Brainliest goes to whoever explains the answer best pls help
Answer: (-2,9)
Step-by-step explanation: I did this not too long ago!
Solve equation [2] for the variable y
[2] y = 5x + 19
// Plug this in for variable y in equation [1]
[1] (5x+19) + 3x = 3
[1] 8x = -16
Solve equation [1] for the variable x
[1] 8x = - 16
[1] x = - 2
By now we know this much :
y = 5x+19
x = -2
Use the x value to solve for y
y = 5(-2)+19 = 9
Answer (-2,9)
Find the next term in the sequence 3, 6, 9, 15, 24,
Can you help me with this please!?
9514 1404 393
Answer:
(a) 2021
Step-by-step explanation:
The expression can be simplified.
[tex]\displaystyle\frac{a^4+b^4+2a^2b^2+a^3b+ab^3}{a^2+b^2}+ab=\frac{(a^2+b^2)^2+ab(a^2+b^2)}{a^2+b^2}+ab\\\\=a^2+b^2+ab+ab=(a+b)^2\\\\=(\sqrt{2021})^2=\boxed{2021}[/tex]
what sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum
Given:
Amount = 8700
Time = 3 years
Rate of interest = 24% per annum
To find:
The principal values.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting [tex]A=8700,r=24,t=3[/tex], we get
[tex]8700=P\left(1+\dfrac{24}{100}\right)^{3}[/tex]
[tex]8700=P\left(1+0.24\right)^{3}[/tex]
[tex]8700=P\left(1.24\right)^{3}[/tex]
[tex]8700=1.906624P[/tex]
Divide both sides by 1.906624.
[tex]\dfrac{8700}{1.906624}=P[/tex]
[tex]4563.0391729=P[/tex]
[tex]P\approx 4563.04[/tex]
Therefore, the principal value is about 4563.04.
What would be the final
price of a $59.99 video game
in a state that charges 6.5%
sales tax?
Answer:
$63.89
Step-by-step explanation:
just multiply 59.99 by 1.065
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y= -16x2 + 1812 + 59
Answer:
The rocket will hit the ground after 113.28 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
The height of a rocket, after t seconds, is given by:
[tex]h(x) = -16x^2 + 1812x + 59[/tex]
Using this equation, find the time that the rocket will hit the ground.
This is x for which [tex]h(x) = 0[/tex]. So
[tex]-16x^2 + 1812x + 59 = 0[/tex]
Then [tex]a = -16, b = 1812, c = 59[/tex]
[tex]\Delta = (1812)^2 - 4(-16)(59) = 3287120[/tex]
[tex]x_{1} = \frac{-1812 + \sqrt{3287120}}{2*(-16)} = -0.03[/tex]
[tex]x_{2} = \frac{-1812 - \sqrt{3287120}}{2*(-16)} = 113.28[/tex]
The rocket will hit the ground after 113.28 seconds.
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answer:
Omg im a big fan anything for you the answer is d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
.
5/8 - 1/4 simplest form
Answer:
3/8
Step-by-step explanation:
5/8 - 1/4
L.C.M =8
5-2=3
=3/8
The following quadrilateral is a parallelogram. Solve for x, y, and z.
Answer:
Angle X = 73 degrees, Angle Z = 34 degrees, and Angle Y = 146 degrees
What is another way to describe an equailteral triangel
A=acute
B=obtuse
C=right
D=scalene
Answer:
c
Step-by-step explanation:
Please solve this system of equations.
5x-2y=9
12x-8y=4
Answer:
(4,11/2)
Step-by-step explanation:
5x-2y=9
12x-8y=4
A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.
4(5x-2y=9)
Now we need to decide if we should add or subtract the equations.
20x-8y=36
12x-8y=4
Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.
20x-8y=36
-12x-8y=4
----------------
8x=32
Divide both sides by 8 to get the x-value:
[tex]\frac{8x}{8} = \frac{32}{8}[/tex]
x=4
Now that we have our x-value, we need to plug in the y-value.
5x-2y=9
5(4)-2y=9
20-2y=9
-2y=-11
y=11/2
So our solution is (4,11/2)
Let's check our work.
5x-2y=9
5(4)-2(11/2)=9
20-22/2=9
20-11=9
9=9
12x-8y=4
12(4)-8(11/2)=4
48-88/2=4
48-44=4
4=4
Our solution is correct.
Answer:
x=4,y=11/2
Step-by-step explanation:
5x−2y=9
12x−8y=4
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x−2y=9,12x−8y=4
To make 5x and 12x equal, multiply all terms on each side of the first equation by 12 and all terms on each side of the second by 5.
12×5x+12(−2)y=12×9,5×12x+5(−8)y=5×4
Simplify.
60x−24y=108,60x−40y=20
Subtract 60x−40y=20 from 60x−24y=108 by subtracting like terms on each side of the equal sign.
60x−60x−24y+40y=108−20
Add 60x to −60x. Terms 60x and −60x cancel out, leaving an equation with only one variable that can be solved.
−24y+40y=108−20
Add −24y to 40y.
16y=108−20
Add 108 to −20.
16y=88
Divide both sides by 16.
y=11/2
Substitute 11/2 for y in 12x−8y=4. Because the resulting equation contains only one variable, you can solve for x directly.
12x−8x11/2=4
Multiply −8 times 11/2.
12x−44=4
Add 44 to both sides of the equation.
12x=48
Divide both sides by 12.
x=4
The system is now solved.
x=4,y=11/2
3. What is the axis of symmetry of the graph of function f(x) = x² - 6x – 1
Answer:
guihnijiop;kl;lkm
Step-by-step explanation:
Answer:
A parabola has an axis of symmetry at x = 3 if the x-value of the vertex is 3.
f(x) = x^2 + 3x + 1 = x^2 + 3x + 9/4 - 5/4 = (x + 3/2)^2 - 5/4 => vertex = (-3/2, -5/4)
f(x) = x^2 - 3x - 3 = x^2 - 3x + 9/4 - 21/4 = (x - 3/2)^2 - 21/4 => vertex = (3/2, -21/4)
f(x) = x^2 + 6x + 3 = x^2 + 6x + 9 - 6 = (x + 3)^2 - 6 => vertex = (-3, -6)
f(x) = x^2 - 6x - 1 = x^2 - 6x + 9 - 10 = (x - 3)^2 - 10 => vertex = (3, -10)
Therefore, f(x) = x^2 - 6x - 1 has an axis of symmetry at x = 3.
Step-by-step explanation:
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