I'm going to try the strategy of "narrow it down slowly."
Let's start with how many perfect squares there are less than 1000. We have
0^2 = 0
1^2 = 1
2^2 = 4
3^2 = 9
...
30^2 = 900
31^2 = 961
32^2 = 1024
This means there are 0...31 so 32 perfect squares less than 1000.
Three times an odd integer... this is tricky. If you think about it, if n is divisible by three, then n must have a factor of 9 in it (why?), so [tex]\sqrt n[/tex] must have a factor of three! Boom, now we just have to count how many odd numbers from 0...31 are divisible by three. The first one is 1(3), the second is 3(3), the third is 5(3), the fourth is 7(3), and the fifth is 9(3). This means there are five such numbers.
For what value of x the rational expression 1/3x-6 is undefined?
Answer:
2
Step-by-step explanation:
A fraction is undefined when the denominator is 0 because division by 0 is undefined.
When x=2, we have 3x-6=0 and the denominator is undefined.
I can’t figure out how to solve this problem someone please help me
Answer:
x=30
Step-by-step explanation:
i actually dont know but thnks for the points BTW
Answer:
x = 4
Step-by-step explanation:
In this geometry, all of the right triangles are similar. That means the ratio of short side to long side is the same for all of the right triangles:
x/10 = 10/25
x = 100/25 = 4 . . . . . multiply by 10
_____
Additional comment
You may notice that the two segments of the hypotenuse, x and 25, have a product that is the square of the altitude. Another way to say this is that the altitude is the geometric mean of the segments x and 25.
There are two other geometric mean relations in this geometry:
the short side at the right is the geometric mean of x and (x+25).
the long side at the bottom is the geometric mean of 25 and (25+x).
That is, the segments that intersect the hypotenuse are the geometric mean of the two segments of the hypotenuse that they meet.
geometric mean of A and B is √(AB)
Using postulates and/or Theorems learned in unit 1, determine weather ABC ~ AXY. show all your work and explain why the triangles are similar and why they are not.
https://brainly.com/question/26558770
Answer:
AX / AB = 6/18 = 1/3
AY / AC = 10/25 = 2/5
They are not similar because the two ratios is not the same.
Step-by-step explanation:
Please help asap
I cant figure out the answer
Answer:
3
Step-by-step explanation:
[tex]x=\sqrt{2x+3}[/tex]
square both sides: [tex]x^2=2x+3[/tex]
subtract [tex]2x + 3[/tex] from both sides: [tex]x^2-2x-3=0[/tex]
factorize: [tex](x-3)(x+1)[/tex]
Therefore, [tex]x=3 \ and \ -1[/tex]
Substitute found values of [tex]x[/tex] back into original equation:
[tex]3=\sqrt{2\times3+3}=3 \ \ \checkmark[/tex]
[tex]-1=\sqrt{2\times-1+3}=1[/tex] incorrect!
So answer is [tex]x = 3[/tex] only
12 1/3 - ( 2x + 3 2/3)
Answer:
hello there the correct answer is 16−2x
Step-by-step explanation:
The Bake Stars need to arrange 718 pupcakes on trays for a pooch pool party.
If each tray can hold 9 pupcakes, about how many trays will the bakery need?
Choose the best estimate.
1) 4
2) 20
3) 60
4)40
3) 60
Step-by-step explanation:
718 ÷ 9 = 79.78
So, if you round to the nearest whole number its about 80, the closest answer from your options is 60 so I think the best estimate is number three: 60.
Find the probability of getting a prime number from 1 to 10
Step-by-step explanation:
For example, to find the probability that a prime is selected from 1 to 10 requires us to divide the number of primes from 1 to 10 by 10. The numbers 2, 3, 5, 7 are prime,
hope this helps you
please mark me brainliest
g(x) =2x + 4; Find g(-3)
Answer:
[tex]g(-3)=-2[/tex]
Step-by-step explanation:
Substitute g(-3) into the function:
[tex]g(-3)=2(-3)+4[/tex]
Multiply:
[tex]g(-3)=-6+4[/tex]
Add:
[tex]g(-3)=-2[/tex]
Answer: -2
Step-by-step explanation:
plug g(x) with -3 so it would be 2(-3) + 4 and then simply and add so 2(-3) equals -6 + 4 is -2
A line passes through the points (4, 9) and (8, 10). What is its equation in slope-intercept form?
y =?
x + ?
Answer:
Step-by-step explanation:
1) find slope
y2-y1/x2-x1
10-9 divided by 8 - 4
1/4 = slope
1/4 = y
b = y-int
arrange 1/7 4/14 2/3 in ascending order
Answer
Its already in order: 1/7 4/14 2/3
Step-by-step explanation:
Because the common denominator for all three is 42, which turns the fractions to 6/42, 12/42, and 28/42 making it easier to place in order
ANSWER:
1/7,4/14,2/3.......................
Please help me figure out what’s in the boxes Ill mark brainlyiest
Answer:
(x, y) = (-6, -10)
Step-by-step explanation:
Pick a variable whose coefficient you want to be zero in the sum. Note the two coefficients of that variable in the two equations. Write the second coefficient in the first box, and the opposite of the first coefficient in the second box.
__
If you want to eliminate x-terms, the x-coefficients are -2 and -3. Write -3 in the first box and +2 in the second box.
-3(-2x +2y = -8) ⇒ 6x -6y = 24
+2(-3x +y = 8) ⇒ -6x +2y = 16
Added together, the resulting equation is ...
0x -4y = 40
y = -10 . . . . . . . divide by -4
__
If you want to eliminate y-terms, the y-coefficients are 2 and 1. Write 1 in the first box, and -2 in the second box.
1(-2x +2y = -8) ⇒ -2x +2y = -8
-2(-3x +y = 8) ⇒ 6x -2y = -16
Added together, the resulting equation is ...
4x +0y = -24
x = -6 . . . . . . . . divide by 4
__
Now, you know the solution is (x, y) = (-6, -10).
_____
Additional comment
It does not matter which is the first equation. You can swap the two equations and still achieve the desired results. Also, if the coefficients have a common factor, you can divide that out. As you may have noticed, the arithmetic is a little easier if one of the chosen coefficients is 1 or -1.
If you're combining the equations using addition, as we have done here, then one of the coefficient multipliers must be negated, as we have described. If you're combining the equations using subtraction, then you can preserve the original signs of the coefficients (or change them both).
Write a sequence of transformations that maps circle B onto circle A.
A translation 4 units right and 2 units up is done followed by a dilation of 3/2.
TransformationTransformation is the movement of point from its initial location to a new location. Types are rotation, translation, reflection and dilation
Translation is the movement of point up, down, left or right. Dilation is the increase or decrease in the size.
To map circle B onto circle A, first a translation 4 units right and 2 units up is done followed by a dilation of 3/2.
Find out more on Transformation at: https://brainly.com/question/1462871
Answer: All 3 Parts
Part A :
Part B : A translation 4 units right and 2 units up is done followed by a dilation of 3/2
Part C : the two circles are equation congruent
Step-by-step explanation:
Circle the equation with a rate of change of 3.
y=3x+12
3y=2x+5
Y=6x-3
(Please explain how you got your answer)
Answer:
[tex]y = 3x + 12[/tex]
Step-by-step explanation:
The rate of change is represented as the slope.
The problem is asking for a slope that is equal to 3.
y=6x-3 is incorrect, the equation is simplified and the slope is 6.
3y=2x+5 is incorrect, the slope is 2 and the equation isn't simplified.
y=3x+12 is correct, the equation is simplified and it's showing the correct slope.
HELPPP!!! Please show work
Step-by-step explanation:
tan a = 9.6/7.2=4/3
a = 53.13
Given the scenario:
A cell phone company charges $20 a month for the base plan. They charge 10 cents for
every text, minute, or kilobyte of data use. Write and equation to express your cell
phone bill.
If you used 500 texts, how much would your cell phone bill be?
O $170
O $65
O $20
O $70
Answer:
20$ is the answer of your question
two consecutive odd numbers between 60 and 80 which are both prime?
Answer:
Hello I'll help you :))!
So there are 21 numbers from 60 to 80 both terms inclusive.
We ignore all even numbers in this range as even numbers can not be prime.
The odd numbers are 61,63,65,67,69,71.73,75,77,79.
So remaining numbers are prime. They are 61,67,71,73,79.
So there are 5 prime numbers in this range.
What is 2 cups of flour to 3 cups of sugar
Answer:
2:3 or 2/3
this is a ratio problem
Answer:
2:3?
Step-by-step explanation:
I'm kinda guessing from the question u gave cuz it doesn't really have a lot of information
Find a polynomial that represents the area of the square.
Answer:
49x²+126x+81
Step-by-step explanation:
Area of any square is length²
If the length given is 7x+9, we can square this to find out what represents the area:
[tex](7x+9)^{2}[/tex]
[tex](7x+9)(7x+9)[/tex]
[tex]49x^{2} +63x+63x+81[/tex]
[tex]49x^{2} +126x+81[/tex]
Answer:
49x² + 126x + 81
Step-by-step explanation:
A = a²
Since a = 7x + 9
=> A = (7x+9)²
= 49x² + 126x + 81
Note: (a+b)² = a² + 2ab + b²
Tell whether the angles are adjacent or vertical. Then find the value of x.
The angles are
Question 2
x = ?
Answer:
x=20
Step-by-step explanation:
These these angles are adjacent
because they share a vertex and side. They also form a linear pair meaning they add up to 180 degrees...
x+20+7x=180
Combine like terms
8x+20=180
Subtract 20 from both sides
8x=160
Divide both sides by 8
x=20
-3÷3(a+c(b+5)-(-6+a)) use a=1 b= -6 and c= -4
-0.1
Explanation:
-3/3(a+c[b+5]-[-6+a])
-3/3(1-4[-6+5]-[-6+1])
-3/3(1-4[-1]-[-5])
-3/3(1 + 4 + 5)
-3/3(10)
-3/30
-0.1
Hope this helps!
Find twe positive even consecutive intecers such
that the square of the smaller integer is 10 more
than the larger integer.
Answer:
The numbers are 4 and 6
Step-by-step explanation:
Let:
x - the smaller even consecutive integer x+2 - the larger even consecutive integerwe know that
[tex]x^{2} =(x+2)+10[/tex]
solve for x
[tex]x^{2} -x-12=0[/tex]
We can use the quadratic formula for quadratics in the form [tex]ax^{2} +bx+c=0[/tex]
[tex]x= \frac{-b(+/-)\sqrt{b^{2} -4ac}}{2a}[/tex]
to give us an answer of 4 and -3
Since the question states positive and even we use 4 and that gives us 6 as the other answer
4 and 6
Answer:
4 and 6
Step-by-step explanation:
x = smaller integer
x+2 = larger integer
x² = 10 + (x + 2)
x² = x + 12
x² - x - 12 = 0
factors are:
(x-4)(x+3) = 0
x-4=0; x = 4
x+3=0; x = -3
Since the question states the numbers are even and positive we use only the 4 and the next consecutive even integer is 6
Find the nth term rule for 18,15,12,9
Answer:
an = a+(n-1) d
this is the rule
Answer:
nth term = 21 - 3n
Step-by-step explanation:
18,15,12,9....
This is an arithmetic sequence.
a= first term = 18
Common difference = d = second term - first term
d = 15 - 18
d = -3
nth term = a + (n-1)d
= 18 + (n-1)*(-3)
= 18 + n*(-3) - 1*(-3)
= 18 - 3n + 3
= 21 - 3n
Which is the smallest ratio?
3 to 4 , 23 , 10:12 , 2 to 1
Answer: 2/3 is the smallest ratio.
Step-by-step explanation:
Put these into Slope-Intercept Form
x + y = 1
3x + 5y = 15
Answer:
y = −x + 1
y = −3/5x + 3
Tameka’s plant measured 3 inches at the beginning of the week and 5 inches at the end of the week. What was the approximate percent increase in the height of Tameka’s plant?
40%
25%
60%
67%
Answer:
25%
Step-by-step explanation:
Multiply:
3 × 5 = 25%
Hope this helps!! <3
if u help me then ill be your friend
Answer:
multiply both sides by 4
Step-by-step explanation:
Answer:
- 3/2 is the answer:)
Step-by-step explanation:
Move the constant to the right
Calculate
Divide by both sides
Hope this helps!
The location of XY is shown on the coordinate plan.
Please help
Answer:
,,,
Step-by-step explanation:
Write the point slope form of the equation of the line through the given points: (-4,-1) and (-3,1)
PLEASE EXPLAIN. STEP BY STEP INSTRUCTIONS
Step-by-step explanation:
the general point-slope form is
y - y1 = m(x - x1)
with (x1, y1) being a point on the line, and m being the slope (the incline of the line).
we have the point. we can pick one from the 2 choices, I typical go for the one with smaller values. so, I will use (-3, 1).
now we need to calculate the slope.
the slope is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.
so, for our 2 points we see
x changes by +1 (from -4 to -3).
y changes by +2 (from -1 to +1).
and the slope is +2/+1 = 2
therefore our equation is
y - 1 = 2(x - -3)
or simplified
y - 1 = 2(x + 3)
If 7x – 24 = 8x – 39, then x = ?
Answer:
15
Step-by-step explanation:
-x=-15
x=15
105 -24 = 120 - 39
81 = 81
Answer:
X= 15
Step-by-step explanation:
7x – 24 = 8x – 39
39 - 24 = 8x - 7x
15 = 1x
x=15
Three trigonometric functions for a given angle are shown below. Sine theta = Negative StartFraction 77 Over 85 EndFraction, cosine theta = StartFraction 36 Over 85 EndFraction, tangent theta = Negative StartFraction 77 Over 36 EndFraction What are the coordinates of point (x, y) on the terminal ray of angle mc020-2. Jpg, assuming that the values above were not simplified? (–77, –36) (–77, 36) (–36, 77) (36, –77).
Trigonometric functions are the ratio of the different sides of a right-angled triangle. We can say that the coordinates of the point are (-77, 36).
What are trigonometric functions?
Trigonometric functions are the ratio of the different sides of a right-angled triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Given to us
[tex]Sin(\theta) = \dfrac{-77}{85}[/tex]
[tex]Cos(\theta) = \dfrac{36}{85}[/tex]
[tex]Tan(\theta) = \dfrac{-77}{36}[/tex]
As we know that the Tangent(Tan) is the ratio of perpendicular and base. therefore, we can write the function as,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base} = \dfrac{-77}{36}[/tex]
therefore, the length of the perpendicular is 77, while the length of the base is 36.
As given to us that the value of sin is negative, therefore, the perpendicular will be on the negative side of the y-axis. While the value of cos is positive, therefore, the base will be on the positive side of the x-axis.
Thus, we can say that the coordinates of the point are (-77, 36).
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
Answer:
B
Step-by-step explanation: just did it gang 100%