Explanation:
For the first slot, we have 9 digits to choose from (1 through 9).
Whatever we pick for the first choice, we have 9 choices left for the second slot. Say we picked 2 for the first slot. That means we have {0,1,X,3,4,5,6,7,8,9} to choose from. I used X to indicate we can't pick that digit any more. You'll see there are 9 items in that list.
Then for the third slot, we had 8 choices to pick from
Overall we have 9*9*8 = 81*8 = 648 different area codes possible where the first digit cannot be zero.
What is the volume in cubic feet of the prism, rounded to the nearest cubic foot? Do not use units or commas in your answer.
Answer:
35.1
Step-by-step explanation:
There's a formula that i've linked as an image
Basically, substitute all 3 sides and the length into that formula, chuck it into the calculator and viola.
Or... we can use pythagoras' theorem and get the height of the triangle Height = [tex]3^{2}[/tex] - [tex]1.5^{2}[/tex] = 2.6
Area of triangle = (3 * 2.6) / 2 = 3.9
Volume = 3.9 * 9
Volume of prism = 35.1
heLp would be appreciated for the image below :))
Answer:
A
Step-by-step explanation:
The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.
Using Pythagoras' identity in either of the 2 right triangles, then
([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²
[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides )
[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12 → A
Can someone please tell me the answer! THANK YOU
Answer: approximately 24 square units in the shaded areas
Step-by-step explanation:
The area of the entire dark circles will be for each πr², then divided by 2 to get the area of the semicircles created on the sides of the triangles:
16π + 9π = 25π Half that times value for pi
≈ 39.2699 is the area of the dark semicircles. Round to 39.27
Now the fun! Find the area of the parts subtracted by the light semicircle:
The area of the entire circle is 25π or about 78.54. The triangle is half of an inscribed rectangle, 6×8, so 48. Subtracted from the circle leaves about 30.54 in the four slices between the arcs of the circumference and the perimeter of the rectangle. We are concerned with only half of the slices, so we will subtract 15.27
Area of the dark semicircles minus the area of the light slices will leave the area of the shaded crescents:
39.27 - 15.27 = 24 square units . Voila!PLEASE HELP. WILL MARK BRAINIEST!!! 1. What shape should Kylee use to draw the swimming pool on the diagram? 2.If Kylee wanted to put the swimming pool directly between the flower beds, at what point would the center of the swimming pool be? 3.Use the point you identified in Part 1 to write an equation that will draw the swimming pool on the diagram so that it is directly between the flower beds. 4.Can Kylee place the swimming pool directly between the flower beds? Use the equation you wrote in Part 3 prove or disprove that the swimming pool will touch one of the flower beds. (Hint: Plug in points that are on a flower bed to check if they are also on the circle.) 5.Where can Kylee put the pool? Write an equation that will draw the pool on the diagram so that it does not touch anything.
Answer:
1) A rectangular shape
2) Point (30, 50)
3) (x - 30)² + (y - 50)² = 10²
4) Yes, the swimming pool will touch the flower beds
5) Point (45, 25)
Step-by-step explanation:
1) Given the number of shapes that are rectangles (4) and the number of circular shapes (1) to conserve more space Kylee should drw the swimming pool with a rectangular shape
2) So as to avoid touching the flowerbeds which are 20 feet apart, the center of the swimming pool will be moved slightly up to (30, 50)
3) The equation that will draw the swimming pool is the equation of a circle, given as follows
(x - h)² + (y - k)² = r²
Where (h, k) is the coordinate of the center of the circle, and r is the radius of the circle,
Given that the diameter, D, of the circle = 20 feet, the radius, r = D/2 = 20/2 = 10 feet
The equation of the circle is therefore;
(x - 30)² + (y - 50)² = 10²
4) The coordinates of the center of the flower bed is (30, 45) which gives
(x - 30)² + (y - 45)² = 10²
Where the coordinates of the side of the flower pot is (20, 45), we have;
(20 - 30)² + (45 - 45)² = 10²
(-10)² = 10² = r²
Hence, point (20, 45) is on the circle
The other flower bed side has coordinates (40, 45) which gives
(40 - 30)² + (45 - 45)² = 10²
10² = r² = 10²
Point (40, 45) is also on the circle
Therefore, the swimming pool will touch the flower beds
5) At point (45, 25), we have;
(x - 45)² + (y - 25)² = 10²
The closest point is the patio with coordinates (40, 15) which gives;
(40 - 45)² + (15 - 25)² = 10² = 100
(-5)² + (-10)² = 125 > 100
Therefore, point (40, 15), is not on the circle.
Jacob had a six-sided number cube. Each side was labeled with one number, from 1
through 6. What is the probability that Jacob rolls a prime number?
Round to the nearest tenth.
Answer:
1 out of 6 because you have only one chance to get 4.
Step-by-step explanation:
Answer:
50% chance
Step-by-step explanation:
A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%
Rewrite 4 - 5 using the addictive inverse and display the expression on a number line
Answer:
d. (4) + (-5)
Step-by-step explanation:
We know that 4 is the positive value and 5 is the negative value, therefore if to be able to rewrite in it we will almost make a sum of these values without changing the meaning of each one of the values, therefore:
(+4) + (-5)
Which means that the correct option is the last option, that is, d. (4) + (-5). Furthermore, the representation is correct because the resulting arrow is the one corresponding to -1.
Zach tried to solve an equation step by step. 34=z−1234+12=z−12+12Step 154=zStep 2\begin{aligned} \dfrac34&=z-\dfrac12\\\\ \dfrac34+\dfrac12&=z-\dfrac12+\dfrac12&\green{\text{Step } 1}\\\\ \dfrac54&=z&\blue{\text{Step } 2} \end{aligned} 4 3 4 3 + 2 1 4 5 =z− 2 1 =z− 2 1 + 2 1 =z Step 1 Step 2 Find Zach's mistake. Choose 1 answer: Choose 1 answer:
Question:
Zach tries to solve an equation step by step;
[tex]\frac{3}{4} = z - \frac{1}{2}[/tex]
Step 1:
[tex]\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}[/tex]
Step 2:
[tex]\frac{3}{4} + \frac{1}{2} = z[/tex]
[tex]\frac{5}{4} = z[/tex]
Find Zach's mistake;
Answer:
Zach didn't make any mistake
Step-by-step explanation:
Given: the steps above
At step 1, he applied addition property of equality by adding [tex]\frac{1}{2}[/tex] to both sides of the equation
Step 2 is a result of step 1 and he rightly added the fractions
Further Explanation;
[tex]\frac{3}{4} = z - \frac{1}{2}[/tex]
Add [tex]\frac{1}{2}[/tex] to both sides
[tex]\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}[/tex]
[tex]\frac{3}{4} + \frac{1}{2} = z[/tex]
Take LCM of fractions at the left hand side
[tex]\frac{3 + 2}{4} = z[/tex]
[tex]\frac{5}{4} = z[/tex]
Reorder
[tex]z = \frac{5}{4}[/tex]
Analyzing the steps one after the other, we can conclude that Zach didn't make any mistake;
Answer:
C: Zach did not make a mistake
Step-by-step explanation:
SO IT NOT CONFUSING
+
GOT IT ON KHAN
(p.s. can u give me brainliest?)
what are 2 equivalent ratios to 27:9?
Answer:
3:1
54:18
Step-by-step explanation:
You can divide both sides by 9 to get one ratio:
27/9:9/9
3:1
You can also multiply both sides by 2 to get another ratio:
27(2):9(2)
54:18
Polygon ABCD is reflected to produce polygon A’B’C’D’E’ what is the equation for the line over reflection A) y=0 B) x=0 C) x=2 D) y=1
Answer:
The answer is x=0. Believe me that's right.
In September 2018, the national weather service reported that their were 12.79 inches of precipitation in Fort Worth, Texas. This amount is 8.81 inches more then the average monthly precipitation for Fort Worth. What is the average of monthly precipitation for Fort Worth?
(E) 21.5 inches
(F) 17.095 inches
(G) 3.88 inches
(H) 1.44 inches
A new E music service offers downloadable songs by subscription $15 per month plus one for each downloaded song how much will it cost to download X songs in a month
Answer:
$15+x
x in dollars
Step-by-step explanation:
Subscription per month=$15
Cost of each downloaded song per month=$15 + 1
If x number of songs are downloaded in a month
The cost of downloading x songs= $15 + x
Where,
$15 = fixed cost ( subscription)
x= variable cost( each unit of songs downloaded)
If 20 songs are downloaded in a month.
The cost of downloading the 20 songs
=$15+$20
=$35
State the equation of the following graphs.
Someone please help ASAP
What is the slope of the line joining (8, 8) and (12, 6)? −2 negative one over two start fraction one over four end fraction start fraction one over two end fraction
Answer:
-1/2
Step-by-step explanation:
slope is [tex]\frac{y_{2}- y_{1}}{x_{2}-x_{1}}[/tex]
so:
[tex]\frac{6-8}{12-8} = -\frac{2}{4} = -\frac{1}{2}[/tex]
Two choises! Pick the right one!
Answer:
The function has a maximum value of 3 that occurs at x = 1.
Step-by-step explanation:
First, note that the leading coefficient is negative. This means that the parabola will curve downwards. Because of this, the function has a maximum. The maximum value will simply be the vertex.
The formula for the x-coordinate of the vertex is -b/2a.
a=-3, b=6, c=0
Plug in the numbers:
x=-(6)/2(-3)
=-6/-6=1
Now, plug 1 back into the original function:
-3x^2+6x
-3(1)^2+6(1)
=-3(1)+6
=-3+6
=3
Select the correct answer.
Which relation is a function?
A. {(2,3), (1,5), (2,7)}
B. {(-1,5), (-2,6), (-3,7)}
C. {(11,9), (11,5), (9,3)}
D. {(3,8), (0,8), (3,-2)}
Answer:
The answer is option B.
Explanation:
A rule that uniquely associates elements of one set A with the elements of another set B and each element in set A maps to only one element in set B.
Each element from X is related to only one element in Y. But it is okay for two different elements in X to be related to the same element in Y. So its still a function. Let suppose
{ (1,a) , (2, b) , (2, c) , (3, d) }
This relation is not a function from X to Y because the element 2 in X is related to two different elements, b and c.
Select all that apply. If x^2+b/ax+c/a=0 ; then: The sum of its roots = -b/a? The difference of its roots =-b/a? The product of its roots = c/a?The division of its roots = c/a? I can select multiple.
Answer:
The first and the thirdStep-by-step explanation:
[tex]x^2+\frac bax+\frac ca=0\\\\ ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\qquad\quad x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x_1+x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}+\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\dfrac{-2b}{2a}=\dfrac{-b}a\\\\\\x_1\cdot x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\cdot\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\\\\{}\ \ =\dfrac{b^2-b\sqrt{b^2-4ac}+b\sqrt{b^2-4ac}-(\sqrt{b^2-4ac})^2}{2a}=\dfrac{b^2-(b^2-4ac)}{4a^2}=\\\\{}\ \ =\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{4ac}{4a^2}=\dfrac{c}{a}[/tex]
[tex]x_1-x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}-\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-2\sqrt{b^2-4ac}}{2a}=\frac{-\sqrt{b^2-4ac}}{a}\\\\\\x_1\div x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}\div\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-b-\sqrt{b^2-4ac}}{2a}\,\cdot\,\frac{2a}{-b+\sqrt{b^2-4ac}}=\\\\=\frac{-b-\sqrt{b^2-4ac}}{-b+\sqrt{b^2-4ac}}=\frac{b+\sqrt{b^2-4ac}}{b-\sqrt{b^2-4ac}}=\frac{b^2+2\sqrt{b^2-4ac}+b^2-4ac}{b^2-b^2+4ac}=\frac{2b^2+2\sqrt{b^2-4ac}-4ac}{4ac}=[/tex]
[tex]=\frac{b^2+\sqrt{b^2-4ac}-2ac}{2ac}[/tex]
A sixth-grade class is growing plants for their
science projects. Each student spent $1.00 for a
package of seeds and $2.50 for a container to
plant the seeds in. There are 30 students in the
class. How much money did the sixth-grade class
spend on seeds and containers in all?
Answer:
5.76
Step-by-step explanation:
Answer:
$105
Step-by-step explanation:
Each student buys one package of seeds and one container
s = Amount of students; p = price of seed package; c = price of container
s*(p+c)=30(1.00+2.50)=30(3.5)$105.
Hope This Helps!
I need help ASAP ? Does anyone know the answer?
Answer:
see the attachment
Step-by-step explanation:
The graph of the inverse function is the reflection of the function across the line y=x. It can also be found by swapping the x- and y-coordinates of every point.
The endpoints of the inverse function segment are (-2, -6) and (4, -1). These are the endpoint coordinates of the given relation, with the elements of the ordered pair reversed.
P = e f e = 4.8 correct to 2 significant figures. f = 0.26 correct to 2 significant figures. Work out the lower bound for the value of P . Give your answer correct to 3 significant figures. (2 marks)
Answer:
Step-by-step explanation:
P = efe =4.8
f =0.26
substitute the value of P and f into the equation to obtain the value of e
4.8 = e*0.26*e
4.8 = 0.26*e^2
make e^2 the subject of the formula
e^2 =4.8/0.26 =18.62
find the square root of e
e =[tex]\sqrt{x} 18.46\\[/tex]
e = 4.3
Lower bound of P = 4.8 - 4.79 = 0.01
The local theatre production company sells advance tickets (a) for $16 per seat. On the night of the performance, tickets (t) are sold for $22 each. If the company sold 648 tickets for at total of $11,826, write an equation that expresses the total income from ticket sales.
Answer:
16a + 22t = 11826
Step-by-step explanation:
Cost of 1 (a) ticket = $16
Cost of 1 (t) ticket = $22
Total tickets sold = 648
Cost of 648 tickets = $11826
So eqn will be => 16a + 22t = 11826
7. The radius of a cylinder whose curved surface area is 2640 2 and height 21 cm is _________. (a) 100 ° (b) 50° (c) 80° (d) 90°
Answer:
The answer is 21.25cm
Step-by-step explanation:
Hope i am marked as brainliest
A county real estate appraiser wants to develop a statistical model to predict the appraised value of houses in a section of the county called East Meadow. One of the many variables thought to be an important predictor of appraised value is the number of rooms in the house. Consequently, the appraiser decided to fit the simple linear regression model, y=Po+B1x, where y appraised value of the house (in $thousands) and x number of rooms. Using data collected for a sample of n 74 houses in East Meadow, the accompanying results were obtained. Give a practical interpretation of the estimate of the slope of the least squares line. i Click the icon to view the results.
A. For each additional dollar of appraised value, the number of rooms in the house is estimated to increase by 22.71 rooms.
B. For a house with 0 rooms, the appraised value is estimated to be $74,800.
C. For each additional room in the house, the appraised value is estimated to increase $22,710
D. For each additional room in the house, the appraised value is estimated to increase $74,800.
Answer:
D. For each additional room in the house, the appraised value is estimated to increase $74,800
Step-by-step explanation:
The statistical model is used to predict the appraised value of houses in East Meadows. The value of a house is determined by using variables. The regression model helps to analyse the value of a house. It is predictive modelling technique which determines a relationship between dependent and independent variable.
Most evenings after dinner Duarte spends 30 minutes playing chess with his dad. Write an equation for the number of minutes, m, that Duarte spent playing chess with his dad if they played chess together (e) evenings.
Answer:
m=30e
Step-by-step explanation:
30 minutes for each evening, 2 evenings, 60 minutes
Hope this helped!
The most suitable equation that would express the time Duarte spends to play chess with his dad is m= 30e
How to use equation for expressionsNumber of minutes each evening= 30 mins=m
They played together every evening= e.
Therefore, the equation that would express the time Duarte spends to play chess with his dad is m = 30e.
Learn more about equation here:
https://brainly.com/question/2972832
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The area of a sector of a circle is given by the equation , where r is the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write?
This question is incomplete
Complete Question
The area of a sector of a circle is given by the equation A = πr²S/360 where r is the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write?
a) 360A+ πr²
b) 360A - πr²
c) 360 + A / πr²
d) 360A/ πr²
Answer:
d) 360A/ πr²
Step-by-step explanation:
In the above question,
Area of the sector (A) = πr²S/360
r = radius
We are also told that Mia solved for S = Angle measure of the sector.
In other to find the equation that Mia used to solve for S,
We would use the Subject of the formula method.
Area of the sector (A) = πr²S/360
We cross Multiply
360 × A = πr²S
Making S the subject of the formula, we divide both sides by πr²
360 × A / πr² = πr²S/ πr²
S = 360 × A/ πr²
S = 360A/ πr²
Therefore, the equation Mia wrote if she solve this equation ( A = πr²S/360) for S is :
S = 360A/ πr²
Option d is the correct option.
Help please! Thanks!!
Answer: None of them
I think your teacher made a typo. See explanation below for details
=================================================
Explanation:
With math problems like this one, it is often very tricky to find integer solutions. Luckily, we're given a list of choices. Let's plug them in one at a time and see what happens.
If y = 5, then
y^2 - 7x^2 = 11
5^2 - 7x^2 = 11
25 - 7x^2 = 11
-7x^2 = 11-25
-7x^2 = -14
x^2 = -14/(-7)
x^2 = 2
But x^2 = 2 does not have any integer solutions. The two solutions are irrational. So we can rule out choice F.
Repeat for y = 4 and you should find that x^2 = 5/7, which also does not have any integer solutions. Choice G can be ruled out.
Choices H through K are even worse. Not only are there no integer solutions, but there aren't any real number solutions either (there are complex or imaginary solutions though). Plugging in y = 3 leads to x^2 = -2/7 which has imaginary solutions due to applying the square root to a negative radicand. Similar situations happen with J and K as well.
In summary, none of these answer choices are valid. We need to have two integers x and y that satisfy the equation. I think your teacher made a typo somewhere.
Please help me it will be greatly appreciated!
Answer:
∠y = 70º, ∠z = 60º, ∠w = 70º
Step-by-step explanation:
i believe the angle measures are the same for both triangles.
so ∠z = 60º, ∠x = 50º
to get ∠w, 180 - (50 + 60) = 70
∠w = 70º
∠w and ∠y would be equivalent
22. A parallelogram in which one angle 90° is necessarily:
A. Square
B. rhombus C. rectangle
D.trapezium
Answer:
C. Rectangle
Step-by-step explanation:
A parallelogram can not have a single 90° angle. This is because the opposite angles of a parallelogram are equal.
Therefore, the two opposite sides are equal.
In a parallelogram, neighboring angles add up to 180°. This therefore implies that all the angles are 90°.
This describes a rectangle.
Find the mean of the following data set. 42, 45, 58, 63 1. 42 2. 47 3. 52
Answer:
52
Step-by-step explanation:
42, 45, 58, 63
The mean is the sum divided by the number of terms
(42+ 45+ 58+ 63)/4
208/4
52
Answer:
Step-by-step explanation:
42 + 45 + 58 +631 + 422 + 473 + 52 = 1723
then divide by 7 to get 246.142857
hope this helps :)
Bob and Dan earned a total of $72
shoveling snow. If Bob earned 3 times as
much as Dan, how much did each boy
earn?
Answer:
see explanation
Step-by-step explanation:
If Dan earns $x then Bob earns $3x ( 3 times as much as Dan ), then
x + 3x = 72 , that is
4x = 72 ( divide both sides by 4 )
x = 18
Thus
Dan earns $18 and Bob earns 3 × $18 = $54
The earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let the earning by Bob be x and the earning by Dan be y.
Bob and Dan earned a total of $72 shoveling snow. Then the equation will be
x + y = 72 ...1
If Bob earned 3 times as much as Dan. Then the equation will be
x = 3y ...2
Substitute the value of x in equation 1, then the equation will be
3y + y = 72
4y = 72
y = $18
Then the money earned by Bob will be
x = 3y
x = 3(18)
x = $54
Thus, the earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.
More about the linear system link is given below.
https://brainly.com/question/20379472
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Which graph represents this function f(x)=1/2x-5
Answer:
The first graph(Left)
Step-by-step explanation:
Because in this form 1/2 is the slope and -5 is the y intercept.
Answer:
Graph B
Step-by-step explanation:
Without even having to look at the numbers, we can see the answer is graph B because the slope in the function is positive, and B is the only positive graph! (rising when approaching positive infinity)
Hope this helped! :)