Answer:
To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25
We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.
0.10d + 0.05n = 5.25
0.10(21) + 0.05n = 5.25
2.10 + 0.05n = 5.25
0.05n = 3.15
n = 3.15 / 0.05
n = 315 / 5
n = 63
Sonji has 63 nickels.
Let's check our answer.
21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25
It seems that our answer is correct.
Step-by-step explanation:
Answer:
she has 63 nickels
Step-by-step explanation:
21 dimes = 2.10$
5.25 - 2.10 = 3.15
3.15 ÷ 0.05 = 63
63 = 63 nickles
Hope this helped :3
The probability of students entering the medical field is 11/50. Predict how many out of 500 will enter the field. Please enter the numerical value only
Answer:
110
Step-by-step explanation:
The probability of students entering the medical field = p = (11/50)
The number of people that'll enter the medical field out of 500 = np
n = 500
p = (11/50)
np = 500 × (11/50) = 110
Hope this helps!!!
Answer:
110 Students
Step-by-step explanation:
The probability of students entering the medical field is [tex]\dfrac{11}{50}[/tex].
In an experimental trial, this probability is referred to as the relative frequency of students entering the medical field.
Given that there are 500 students, we want to determine how many will enter the medical field.
Total Number of Trials=500We use the formula:
[tex]\text{Number of Expected Outcome}=$Relative Frequency of Outcome X Total Number of Trials$\\\\=\dfrac{11}{50}X500 \\\\=110[/tex]
Therefore, 110 students will be expected to enter the medical field.
A ball is thrown into the air with an upward velocity of 13 ft/s. Its height h in feet after t seconds is given by the function h = −2t^2+ 13t + 24. In how many seconds does the ball reach its maximum height?
Answer:
3.25 seconds
Step-by-step explanation:
The maximum height will occur when the velocity of the ball reaches zero in the air.
Velocity is given as the derivative of height, dh/dt.
The equation of height given is:
[tex]h = -2t^2+ 13t + 24[/tex]
Differentiating height, h, with respect to time, t, we have:
[tex]v = dh/dt = -4t + 13[/tex]
When v = 0:
[tex]0 = -4t + 13\\\\=> 4t = 13\\\\t = 13 / 4 = 3.25 secs[/tex]
Therefore, it will take 3.25 seconds for the ball to reach maximum height.
The student who traveled to 3 states visited 3 new states during a vacation. Does increasing the 3 to 6 change the median? If so, how?
Answer:
Yes, changing from 3 states to 6 states changes the median because:
- The median of the first 3 states is simply the middle-placed state of the 3 states.
- The median of 6 states is the average of the 2 middle states.
Step-by-step explanation:
Suppose the first 3 states in order are:
A, B, C.
The median of these states is simply the middle state, B.
Adding 3 new states to have:
A, B, C, D, E, F.
The median is not explicit. It is the average of the two middle states, C and D.
Average of C and D is half of the sum of C and D.
That is (C + D)/2.
Which is different from B.
Which of the following lists all of the positive factors of 18?
The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.
Step-by-step explanation:
The circles at the right are congruent. Which conclusion can you draw?
A. Angle AEB = Angle QUR
B. Angle CED = Angle SUT
C. CD = ST
D. Arc BD = Arc RT
Answer:
C. CD=ST
Step-by-step explanation:
The conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR
Congruent circlesFrom the question, we are to deduce which of the given options is correct
From the given information, the circles are congruent
Congruent circles have the same or equal radii
As indicated in the diagram,
Arc AB = Arc QR
Since, the radii of the two circles are equal and the arcs (arc AB and arc QR) are as well equal, their central angles must be equal
∴ Angle AEB = Angle QUR
Hence, the conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR
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what is the solution of this equqtion w -3=15
Answer:
w = 18
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation
Solve : w-18 = 0
Add 18 to both sides of the equation :
w = 18
Hope this helps.
Answer:
w - 3 = 15
w - 3 + 3 = 15 + 3
w = 18
Step-by-step explanation:
1. add three to both sides
An oil storage tank is a cylinder with a height of 50 feet and a diameter of 20 feet what is the volume of the tank
Answer:
15707.96
Step-by-step explanation:
Answer:
5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)
Step-by-step explanation:
V = (pi)r^2h
r = radius = diameter/2
r = 20 ft/2 = 10 ft
V = (pi)(10 ft)^2(50 ft)
V = 5000(pi) ft^3
V = 5000(3.14159) ft^3 = 15,708 ft^3
Answer: 5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)
Please help me now please I promise I will mark you brainliest
Answer:
On the circle
Step-by-step explanation:
I dont know the exact way to do this, but i graphed them, then drew a circle, and it was in the line. So i think its on the line
Answer:inside
Step-by-step explanation:
The distance from A to M is sq rt of 41
The distance from A to V is sq rt of 40
Please help me now plz I will mark you brainliest
Answer:
Neither
Step-by-step explanation:
It can be paralel because they both pass through -7 and it cant be perpendicular because the dont intersect at a 90 degree angle
I have tried and tried I just cant get one thing to be right
please please help me
Answer:
a) 22, b) i. 5/11, ii. 5/11, iii. 7/11
Step-by-step explanation:
a) 3+6+3+5+4+1 = 22 total number of students
b)
i. Number of girl/total number of students= 10/22 = 5/11
ii. blond hair/total number of students = 10/22 = 5/11
iii.
Number of girl/total number of students= 10/22 = 5/11
red hair/total number of students = 4/22 = 2/11
P(a girl or red hair) = 5/11 + 2/11 = 7/11
If the quadratic model applies the function f(x) = -0.11688x² + 2.5355x + 7.0238, what is the predicted value and residual when the tree is 7 years old with a height of 19?
Answer:
predicted value = 19.04518
Residual = -0.04518
Step-by-step explanation:
Residual = y - predicted y
In this case y = 19 for a 7 year old tree.
f(7) = 19.04518
Residual = 19 - 19.04518
Residual = -0.04518
67 1/2 of 32 86/2 is??
Answer:
7
Step-by-step explanation:
671/2 33 of 32 is right
Answer:
678
Step-by-step explanation:
i beelive it
7. How many Cones will it take to fill a Cylinder with the same height and radius?
O 6 cones
O 3 cones
O 1 cone
O 2 cones
Answer:
3 cones
Step-by-step explanation:
This is why the formula for the volume of a cone is 1/3 (π×r^2)× h, while the volume for a cylinder is (π× r^2)× h, respectively.
Answer:
C) 3 Cones.
Explanation:
Hope this helps! :)
Approximate the real zeros of f(x)= x^3 - 4x + 6 to the nearest tenth.
Please select the best answer from the choices provided
A -5
B -2
C -5.2
D -2.5
Answer:
x ≈ - 2.5; Option D
Step-by-step explanation:
Let us substitute f ( x ) with 0, as to find the " real zero " of the function;
0 = x^2 - 4x + 6, ⇒ Now find one solution for x^2 - 4x + 6 = 0, using Newton - Raphson, provided it applies an iterative process to approach one root of a function, ( x( n + 1 ) = x( n ) - ( f( x( n ) ) )/( f '( x( n ) ) ) ),
d / dx * ( x^3 - 4x + 6 ), ⇒ Apply sum / difference rule ( f ± g ) ' = f ' ± g, '
d / dx * ( x^3 ) - d / dx * ( 4x ) + d / dx * ( 6 ), ⇒ Simplify,
3x^2 - 4 + 0, 3x^2 - 4, ⇒ Compute x( n + 1 ) until Δ x( n + 1 ) < 0.000001,
x ≈ - 2.52510.....
Answer; x ≈ - 2.5; Option D
What is the product of (-a + 3)(a + 4)?
Answer:
a² - a + 12
Step-by-step explanation:
(see attached)
using the Foil Method :
(-a + 3)(a + 4)
= (-a)(a) + (-a)(4) + (3)(a) + (3)(4)
= -a² - 4a + 3a + 12
= -a² - a + 12
Three is what percent of 600
Answer:
0.5.
Step-by-step explanation:
6
The sun is at an angle of
elevation of 58º. A tree casts a
shadow 20 meters long on the
ground. How tall is the tree?
a) 71 m
b) 11 m
c) 17 m
d) 80 m
e) 32 m
Im not super sure but I'm pretty sure it's A. I'm sorry if I'm wrong but this was also a question I need the explanation for.
the tape diagram represents the equation write an equation to represent the image
Answer:
5n=1.75
Step-by-step explanation:
Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard. What is the value of this function for f(6)?
Answer:
27
Step-by-step explanation:
7(6) = 42. 42-15 is 27
The value of this function for f(6) is 27.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard.
WE need to find the value of this function for f(6).
So, plug 6 into x
7(6)-15
42 - 15
= 27
Hence, the value of this function for f(6) is 27.
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Four students were discussing how to find the unit rate for a proportional relationship.Which method is valid?
Answer:use a calculator
Step-by-step explanation:
The unit rate for a proportional relationship is y = 6x.
The proportional relationship, can be find by the formula,
y = kx.........................1
Where,
X- position at X- cordinate= 1
Y - position at Y- coordinate = 6
k - constant of proportionality
put the values in the equation,
6 = k1
k = 6
Put the value of k into equation 1,
y = 6x
Therefore, the unit rate for a proportional relationship is y = 6x.
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A little boy goes shopping and purchases 12 tomatoes. On the way home, all but 9 get mushed and ruined. How many tomatoes are left in a good condition?
Answer:
3
Step-by-step explanation:
its so easy all you have to do is 12-9=3
Answer:
9
Step-by-step explanation:
he has 12 tomatoes in total
all but 9 get mushed and ruined.
that means that he has 9 left and the other 3 are ruined
hope this helped :D
Find the volume of a right circular cone that has a height of 10.7 in and a base with a diameter of 8.1 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
[tex] V = \pi r^2 h[/tex]
And for this case the value for the height is [tex] h = 10.7 in[/tex] the diameter is provided [tex] D = 2r = 8.1 in[/tex] so then the radius is given by:
[tex] r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in[/tex]
Then we can find the volume with the first formula and replacing we got:
[tex] V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3[/tex]
The final answer for this case would be 551.4 cubic inches
Step-by-step explanation:
The volume for a right circular cone is given by this formula:
[tex] V = \pi r^2 h[/tex]
And for this case the value for the height is [tex] h = 10.7 in[/tex] the diameter is provided [tex] D = 2r = 8.1 in[/tex] so then the radius is given by:
[tex] r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in[/tex]
Then we can find the volume with the first formula and replacing we got:
[tex] V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3[/tex]
The final answer for this case would be 551.4 cubic inches
Answer V:183.8^3 previous answer is wrong
Here are two steps from the derivation of the quadratic formula (picture included)
what took place between the first step and the second step?
A. factoring a perfect square trinomial
B. completing the square
C. taking the square root of both sides
The mathematical operation which took place between the first step and the second step from the derivation of the quadratic formula is: B. completing the square.
What is a quadratic equation?A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
The derivation of quadratic formula.Mathematically, the quadratic formula can be derived as follows:
x² + b/ax +c/a = 0
x² + b/ax = -c/a
x² + b/ax + (b/2a)² = - c/a + (b/2a)² [completing the square]
(x + b/2a)² = b²/4a² - c/a
x + b/2a = √(b²/4a² - c/a)
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
In conclusion, the step which is shown in the image above for the derivation of the quadratic formula was derived by using completing the square method.
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Answer: THE CORRECT ANSWER IS Factoring a perfect square trinomial
Step-by-step explanation:
$1000 is taken out of a bank vault each day and nothing is added back. Which of the following models this situation?
Answer:
do you have a picture?
Step-by-step explanation:
Answer
A. linear function with a negative rate of change
Step-by-step explanation:
i had this question already
Does anyone know this
Answer:
It is A
Step-by-step explanation:
The square route of 174 is 13.190906. Didn't use a calculator.
16x^4y^2(9x^3y^4) fully simply
Answer:
[tex]=144x^7y^6[/tex]
Step-by-step explanation:
[tex]16x^4y^2\left(9x^3y^4\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^4x^3=\:x^{4+3}\\=16y^2\cdot \:9x^{4+3}y^4\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=16y^2\cdot \:9x^7y^4\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=16\cdot \:9x^7y^{2+4}\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=16\cdot \:9x^7y^6\\\mathrm{Multiply\:the\:numbers:}\:16\cdot \:9=144\\=144x^7y^6[/tex]
Answer:
Step-by-step explanation:
2 x(4−3xy^2)/y
What is the square root of 47?
Answer:
6.8556546004
Step-by-step explanation:
sqrt(47)=
6.8556546004
plzWegnerkolmp2741ohelpmethakyou
Answer:
z=2
Step-by-step explanation:
z^2 - 4z+4 =0
Factor recognizing
a^2 - 2ab - b^2 = (a-b)^2
(z-2)^2 =0
Using the zero product property
z-2 = 0
z=2
someone please help :)
Answer: 25
Step-by-step explanation:
they are corresponding angles
