Answer:
there wouldbe 9 of height i think
Step-by-step explanation:
[tex]v=\frac{\pi r^2h}{3} \\\text{solving for h}\\3v=\pi r^2h\\\\\boxed{\frac{3v}{\pi r^2}} = h[/tex]
what is the value of the discriminant for the quadratic equation -3=-x^2+2x? discriminant =b^2-4ac
Answer:
D = 16Step-by-step explanation:
[tex]-x^2+2x=-3\qquad\text{add 3 to both sides}\\\\-x^2+2x+3=0\\\\a=-1,\ b=2,\ c=3\\\\\text{Substitute to}\ D=b^2-4ac:\\\\D=2^2-4(-1)(3)=4+12=16[/tex]
Answer:
Discriminant = 16
Step-by-step explanation:
We have the following expression: -3 = -x^2 + 2x
Organizing the expression, we have: x^2 - 2x -3 = 0
We know that for an equation of the type: ax^2 + bx + c = 0, the discriminant is: b^2-4ac
From our equation we know that a=1, b=-2, and c=-3.
Then Discriminant = (-2)^2 - 4(1)(-3)
Discriminant = 4 +12 = 16
PLS HELP ILL GIVE BRAINLIEST
Answer:
1: This is a 8-sided polygon, so it is a octagon.
2: No, this is not a regular polygon.
Step-by-step explanation:
1: Since the polygon has 8 sides, it is an octagon.
2:
This is not a regular polygon.
Regular polygons MUST be equilateral and equiangular.
This polygon is neither, so it is not a regular polygon.
Randy is playing a number game. Beginning with the number 8, he adds 4, multiples by 5, and then divides by -10. He then subtracts 2. What number does he find at the end of the game?
A .-8 B. -6 C. 6 D. 8
Step-by-step explanation:
8+4=12
12×5=60
60÷-10=-6
-6-2=-8
the correct answer is A. -8
Use sum or difference identities to find the exact value of sin285
Angle sum identity:
[tex]\sin285^\circ=\sin(240^\circ+45^\circ)=\sin240^\circ\cos45^\circ+\cos240^\circ\sin45^\circ[/tex]
Now
[tex]\sin240^\circ=\sin(180^\circ+60^\circ)=-\sin60^\circ=-\dfrac{\sqrt3}2[/tex]
[tex]\cos240^\circ=\cos(180^\circ+60^\circ)=-\cos60^\circ=-\dfrac12[/tex]
[tex]\sin45^\circ=\cos45^\circ=\dfrac1{\sqrt2}[/tex]
so we end up with
[tex]\sin285^\circ=-\dfrac{\sqrt3}{2\sqrt2}-\dfrac1{2\sqrt2}=-\dfrac{\sqrt3+1}{2\sqrt2}=-\dfrac{\sqrt6+\sqrt2}4[/tex]
Estimate a 15% tip on a dinner bill of 39.51
Answer:
Tip Total: $ 6
Tip Each Person: $ 6
Total (Bill + Tip): $ 46
Answer:
$6
total cost: $45.51
Step-by-step explanation:
to find 15% of the dinner bill. we multiply 39.51 by the decimal form of 15%, which is 0.15
39.51 x 0.15 ≈ 5.926
you can estimate this by rounding up to a $6 tip, or to include cents, you can round to $5.93
to find the total cost with the estimated amount we can add:
39.51 + 6= $45.51 is the total cost
Can someone explain how to do this?
Answer:
To find the value of the y units, u have to multiply any x unit with the first y unit given but not 0
Step-by-step explanation:
Julian has a computer game that responds with either "go" or "stop" when a button is pressed. The probability that the response is "go" is not known to game players. Julian presses the button repeatedly and records the number of "go" responses.
Number of button presses:
20
50
200
Number of "go" response:
3
9
38
Calculate the relative frequency of a "go" response for each of the sample sizes.
Enter your answers, as decimals, in the boxes.
3/20=
9/50=
38/200 =
Answer:
Step-by-step explanation:
I think you are just asking for the decimal answers.
3/20 = 0.15
9/50 = 0.18
38/200 = 0.19
400 degree F is what in Centigrade
Answer:
400° F = 204.4° C
Step-by-step explanation:
We are given a temperature 400 degree in Fahrenheit and we are to convert in into another unit that is Centigrade (also known as Celsius).
We know that 0 degree Centigrade is equal to 32 Fahrenheit so we will use the following formula for conversion of units:
(32°F − 32) × 5/9 = 0°C
(400°F − 32) × 5/9 = 204.4° C
Which function represents the given sequence?
n 1 2 3 4 5
an 3 18 108 648 3888
( answer choices are above) Thanks!!!
the answer is d bc the common ratio is 6 and the previous term is 3 for a geometric recursive. the formula is a_n=a_n-1(3) btw
Look at picture. Question 1
Answer:
x = 18Step-by-step explanation:
Look at the picture.
ΔABC and ΔDBE are similar.Therefore the corresponding sides are in proportion:
[tex]\dfrac{DE}{AC}=\dfrac{DB}{AB}[/tex]
We have
[tex]DE=x,\ AC=36,\ DB=y,\ AB=y+y=2y[/tex]
Substitute:
[tex]\dfrac{x}{36}=\dfrac{y}{2y}[/tex] cancel y
[tex]\dfrac{x}{36}=\dfrac{1}{2}[/tex] cross multiply
[tex]2x=36[/tex] divide both sides by 2
[tex]x=18[/tex]
20 points!!!
A wooden board in the shape of a rectangular prism measures 1.5 meters by 0.75 meter by 0.2 meter and has a mass of 146.25 kilograms.
What is the density of the board?
Thank you so much!!!
Answer:
Density of the board = M/V [tex]= 650 kg m^{-3} [/tex]
Step-by-step explanation:
A rectangular prism has six faces which are all rectangular. It has a cross-sectional area with an additional length which makes it a six-sided solid object.
Mass of the board = 146.25 kg
height = 0.75 m
width = 0.2 m
length = 1.5 m
Volume of the rectangular prism = height * width * length
= 0.75*0.2*1.5
=0.225 meters
Density of the board = mass/volume
= 146.25/0.225
[tex]= 650 kg m^{-3} \\[/tex]
How much larger is the value of x than the value of y
A. 20
B. 70
C. 90
D. 110
Answer:
D 110
Step-by-step explanation:
Vertical angles are equal
50 = x+2y
Adjacent angles equal 180 degrees when they make a straight line
50+x-2y = 180
subtract 50 from each side
50-50+x-2y = 180-50
x-2y = 130
Flipping sides on the first equation
x+2y = 50
Adding the two equations together
x-2y = 130
x+2y = 50
-------------------
2x = 180
Divide by 2
2x/2 = 180/2
x = 90
Now we need to find y
x+2y = 50
90 +2y = 50
Subtract 90 from each side
90-90+2y = 50-90
2y = -40
Divide by 2
2y/2 = -40/2
y = -20
We want the difference between x and y
x-y
90-(-20)
90+20
110
One bucket of gravel has a mass of 7.05 kg. What is the mass of gravel in kilograms
The weight of 20 buckets is 141 Kg.
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
weight of 1 bucket of gravel = 7.05
weight of 20 buckets = 7.05 x 20
= 141 Kg
Hence, the weight of 20 buckets is 141 Kg.
Question
One bucket of gravel has a mass of 7.05 kg. what is the mass of 20 buckets of gravel in kilograms?
Which of the following is the radical expression of
The answer is choice B.
The denominator always goes outside the radical and the numerator is always inside the radical.
B. 7 radical a^5
4(3d-2x)-(2d-5x)
Maths help plz.....
Answer:
10d - 3x
Step-by-step explanation:
Distribute the 4: 12d - 8x
Distribute the -1: -2d + 5x
Add like terms: 10d - 3x
A coral reef grows 0.13 m every week. How much does it grow in 15 weeks? Write your answer in centimeters
First you want to multiple .13 by 15 giving you 1.95 meters
Then you want to times that by 100 since there are 100 centimeters in a meter
giving you 195 centimeters
A coral reef grows 195 cm in 15 weeks.
What is the unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
The unitary method exists as a technique for solving a situation by first finding the value of a single unit, and then discovering the essential value by multiplying the single unit value.
Given
in 1 week , coral grows 0.13m
in 15 weeks it grows = [tex]0.13* 15 =1.95m[/tex]
1 m = 100cm
1.95 m = [tex]1.95 * 100 = 195 cm[/tex]
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I don’t know the answer to the question
Answer:
see explanation
Step-by-step explanation:
P - G
= 8[tex]w^{4}[/tex] - 3w²z² + [tex]z^{4}[/tex] - ( - 3[tex]w^{4}[/tex] + 2w²z² + 5[tex]z^{4}[/tex] )
= 8[tex]w^{4}[/tex] + 2w²z² + [tex]z^{4}[/tex] + 3[tex]w^{4}[/tex] - 2w²z² - 5[tex]z^{4}[/tex]
Collect like terms
= (8[tex]w^{4}[/tex] + 3[tex]w^{4}[/tex] ) + (- 3w²z² - 2w²z² ) + ([tex]z^{4}[/tex] - 5[tex]z^{4}[/tex] )
= 11[tex]w^{4}[/tex] - 5w²z² - 4[tex]z^{4}[/tex]
Really need help on this guys!
The answer is:
The center of the circle is the point (-9,-2) and the circle has a radius of 6 units.
Why?To solve the problem, we need to use the given equation which is in the general form, and then, use it transform it to the standard form in order to find the center of the circle and its radius.
So,
We are given the circle:
[tex]x^{2}+y^{2}+18x+4y+49=0[/tex]
We know that a circle can be written in the following form:
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
Where,
h is the x-coordinate of the center of the circle
k is the y-coordinate of the center of the circle
r is the radius of the circle.
So, to find the center and the radius, we need to perform the following steps:
- Moving the constant to the other side of the equation:
[tex]x^{2}+y^{2}+18x+4y=-49[/tex]
- Grouping the terms (x and y):
[tex]x^{2}+18x+y^{2}+4y=-49[/tex]
- Completing squares for both variables, we have:
We need to sum to each side of the equation the following term:
[tex](\frac{b}{2})^{2}[/tex]
Where, b, for this case, will the coefficients for both terms that have linear variables (x and y)
So, the variable "x", we have:
[tex]x^{2} +18x[/tex]
Where,
[tex]b=18[/tex]
Then,
[tex](\frac{18}{2})^{2}=(9)^{2}=81[/tex]
So, we need to add the number 81 to each side of the circle equation.
Now, for the variable "y", we have:
[tex]y^{2} +4y[/tex]
Where,
[tex]b=4[/tex]
[tex](\frac{4}{2})^{2}=(2)^{2}=4[/tex]
So, we need to add the number 4 to each side of the circle equation.
Therefore, we have:
[tex](x^{2}+18x+81)+(y^{2}+4y+4)=-49+81+4[/tex]
Then, factoring, we have that the expression will be:
[tex](x+9)^{2}+(y+2)^{2}=36[/tex]
- Writing the standard form of the circle:
Now, from the simplified expression (after factoring), we can write the circle in the standard form:
[tex](x+9)^{2}+(y+2)^{2}=36[/tex]
Is also equal to:
[tex](x-(-9))^{2}+(y-(-2))^{2}=36[/tex]
Where,
[tex]h=-9\\k=-2\\r=\sqrt{36}=6[/tex]
Hence, the center of the circle is the point (-9,-2) and the circle has a radius of 6 units.
Have a nice day!
in which of the following equations does f= -12
A.108f-6=3
B.72f+9=15
C.118-4f=166
D.127+5f=187
Answer:
C
118 - 4 (-12)= 166
118 + 48 = 166
166 = 166
The mean we love the nine players on three reserve players is 188 pounds. Find the mean weight of the three reserve players
The mean weight of the three reserve players is found by rearranging the formula for calculating the mean, substituting known values, and solving the equation.
Explanation:Given that the mean weight of all 12 players (nine players + three reserve players) is 188 pounds. Let's denote the missing weight of the three reserve players as 'x', 'y', and 'z'.
The formula to calculate mean is the sum of all the weights divided by the number of players. Here, mean weight equals (9*188 + x + y + z) / 12.
As we know that the mean weight is 188 pounds. We can substitute it back into the formula:
9*188 + x + y + z = 188 * 12.
This simplifies to x + y + z = 188 * 12 - 9 * 188.
We divide by 3 (since we are looking for the mean weight of three players): (x + y + z) / 3 = (188*12 - 9*188) / 3. Thus, the mean weight of the three reserve players can be found by solving this equation.
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what is the measure of G?
The measure of G is 28 because it is an isosceles triangle
The measure of G depends on the given information or the type of angle it represents.
Explanation:The measure of G refers to the numerical value or the angle of G. To determine the measure of angle G, we need more information, such as the type of angle or any given angles in the problem. However, if we assume that G is a generic angle, we can measure it using a protractor or rely on the properties of different types of angles.
For example, if G is a right angle, it measures 90 degrees. If G is a straight angle, it measures 180 degrees. But without specific details, it is challenging to determine the exact measure of G.
Remember to always provide more information in order to find the measure of an angle accurately.
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Point M lies between points L and N on LN.
If LN=12x+16, what is the length of LN in units?
A. 16 units
B. 40 units
C. 48 units
D. 64 units
Answer:
Option D. LN=64 units
Step-by-step explanation:
step 1
Find the value of x
we know that
LN=LM+MN -----> equation A
we have
LN=12x+16
LM=10x+8
MN=5x-4
substitute the values in the equation A
12x+16=(10x+8)+(5x-4)
Solve for x
12x+16=15x+4
15x-12x=16-4
3x=12
x=4
step 2
Find the value of LN
LN=12x+16
LN=12(4)+16=64 units
The length of LN in units is 64 units
Calculating length of a lineFrom the question, we are to determine the length of LN
In the given diagram
/LM/ = 10x + 8
/MN/ = 5x - 4
We can observe that
/LM/ + /MN/ = /LN/
From the given information,
/LN/ = 12x + 16
Therefore,
10x + 8 + 5x -4 = 12x + 16
Solving for x
15x +4 = 12x + 16
Then,
15x - 12x = 16 - 4
3x = 12
Thus,
x = 4
Then, substitute the value of x into LN = 12x + 16
LN = 12(4) + 16
LN = 48 + 16
LN = 64 units
Hence, the length of LN in units is 64 units
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Write a whole number that rounds to 500 if we are rounding to the nearest hundred.
Use an Integer like 6
It could be anything from 450 - 549 so pick a number within those two (for example, 460, 499, 523, 538, all of those work)
When rounding to the nearest hundred, any whole number from 450 to 549 will round to 500. We consider the tens place in a number to decide whether to round up or down.
Explanation:In the field of Mathematics, when we are rounding a whole number to the nearest hundred, we look at the tens place. If the tens digit is 5 or above, we round up. If it's 4 or below, we round down. So, any whole number ranging from 450 to 549 will round up or down to 500 when rounding to the nearest hundred. For example, numbers like 475, 500, 525, or 543.
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If the parent function f(x)=3 square root of x is transformed to g(x)=3 square root of x+2-4
Answer:
Graph A is the correct graph for the transformations shown in the function g(x)
Step-by-step explanation:
Within the function [tex]g(x)=\sqrt[3]{x+2} -4[/tex]
We can see two transformations occur from the parent function. The first is a slide along the x-axis and the second is a slide along the y-axis
Under the radicand we see that it is x+2. This means that the function has been shifted 2 units left from the parent function
As there is a -4 outside of the radicand, it would mean that the function has been shifted 4 units down as well.
This means that we are looking for a function centered around the point (-2,-4)
The graph of ∛(x) is shifted backwards by 2 units along the x - axis and then is shifted 4 units in the downward direction along the y - axis.
What is a polynomial?Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). For example -
y = 4x⁴ + 3x³ + 2x² + 6x + 7
We have the function -
{∛(x)} and {∛(x + 2) - 4}
We can write the functions as -
[tex]$x^{\frac{1}{3} }[/tex]
and
[tex](x + 2)^{\frac{1}{3} } - 4[/tex]
The graph of ∛(x) is shifted backwards by 2 units along the x - axis. Then it is shifted 4 units in the downward direction.
Therefore, the graph of ∛(x) is shifted backwards by 2 units along the x - axis and then is shifted 4 units in the downward direction along the y - axis.
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30 POINTS Alex runs 2/3 of a mile each day how many days does he need to run before he has to run a whole number of miles
Answer:
he has to run twice for it to be at least a mile
What is the term used to describe the distribution of a data set with one mode? a. Multimodal b. Unimodal c. Nonmodal d. Bimodal
What is the term used to describe the distribution of a data set with one mode? b. Unimodal
A.
Step-by-step explanation:
Multimodal
❤❤❤❤❤❤❤❤❤❤❤❤❤
An expression is shown below:
f(x) = −8x2 + 30x + 8
Part A: What are the x-intercepts (zeros) of the graph of the f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? Justify your answer
Part C: What is the y intercept of the graph?
Answer:
Part A. the x-intercepts are: x=4 and x= -1/4
Part B. The vertex of the graph is going to be a maximum
Part C. y-intercept is y=8
Step-by-step explanation:
We have the following function:
f(x) = −8x^2 + 30x + 8
Part A: What are the x-intercepts (zeros) of the graph of the f(x)?
To find the x-intercepts we have to make y=0 and solve for x. Then:
y = −8x^2 + 30x + 8
0 = −8x^2 + 30x + 8
8x^2 - 30x - 8 = 0
Dividing the whole expression by 8:
x^2 - 15/4x - 1 = 0
Using the quadratic formula we have that:
(x−4)(4x+1)
So the x-intercepts are: x=4 and x= -1/4
Part B. Is the vertex of the graph of f(x) going to be a maximum or minimum?
The vertex of the graph is going to be a maximum, given that the quadratic term is multiplied by a negative sign.
PArt C. What is the y intercept of the graph?
To calculate the y-intercept we need to make x=0, so:
y = −8(0)^2 + 30(0) + 8 = 8
So the y-intercept is y=8
Use the information in the table below to answer the following question.
Name of Fund
NAV
Offer Price
Upton Group
$18.47
$18.96
Green Energy
$17.29
$18.01
TJH Small-Cap
$18.43
$19.05
WHI Health
$20.96
NL
Trevor buys 80 shares of Upton Group and 70 shares of TJH Small-Cap. What is Trevor’s total investment?
Final answer:
To calculate Trevor's total investment, multiply the number of shares of each fund by their respective offer prices and sum the results. Trevor's total investment for both Upton Group and TJH Small-Cap amounts to $2850.30.
Explanation:
To calculate Trevor's total investment, we need to multiply the number of shares he purchased by their respective offer price and then add the costs of both investments together.
For the Upton Group, the investment is:
80 shares × $18.96 per share = $1516.80
For TJH Small-Cap, the investment is:
70 shares × $19.05 per share = $1333.50
Therefore, Trevor's total investment is:
$1516.80 (Upton Group) + $1333.50 (TJH Small-Cap) = $2850.30
This relation is an inverse variation {(-1,8),(4,-2),(-2,4)} what equation represents this relation?
ANSWER
[tex]y = - \frac{8}{x} [/tex]
EXPLANATION
An inverse variation equation is of the form:
[tex]y = \frac{k}{x} [/tex]
We plug in the point (-1,8).
[tex] 8= \frac{k}{ - 1} [/tex]
This implies that k=-8
Therefore the inverse variation equation is :
[tex]y = - \frac{8}{x} [/tex]
Final answer:
The set of points {(-1,8),(4,-2),(-2,4)} represents an inverse variation with the equation xy = -8, as the product of x and y is consistently -8 for all given points.
Explanation:
An inverse variation can be defined by an equation of the form xy = k, where k is a nonzero constant. Given the set of points {(-1,8),(4,-2),(-2,4)}, we can find the constant k by multiplying the x-coordinate with the y-coordinate for each point, as follows:
(-1)(8) = -8
(4)(-2) = -8
(-2)(4) = -8
Since the product of x and y is consistent and equal to -8 across all points, we can confirm that k = -8 and thus the equation representing this relation is xy = -8.
How write an equation for a circle using 8x +x^2 - 2y = 64 - y^2
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
8x + x² - 2y = 64 - y²
Collect the x/y terms, leaving 64 on the right side, that is
x² + 8x + y² - 2y = 64
To obtain standard form use the method of completing the square.
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(4)x + 16 + y² + 2(- 1)y + 1 = 64 + 16 + 1
(x + 4)² + (y - 1)² = 81 ← in standard form
with centre (- 4, 1) and radius = 9