Answer: Because there are no values
Step-by-step explanation: Since there are no numbers in the problem, there is no sum. making it 0. You can't add two letters to make another letter, So it becomes a 0. anything with a variable subtracted, divided, added, ect by another variable, is 0
Which is the correct way to model the equation 5x+6=4x+(-3) using algebra tiles?
5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
6 positive x-tiles and 5 positive unit tiles on the left side; 3 negative x-tiles and 4 positive unit tiles on the right side
5 positive x-tiles and 6 negative unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 positive unit tiles on the right side
A would be your best option. Choice A properly displays the equation, 5x+6=4x+(-3), using words. Let me know if you want an explanation of why the other options are invalid. :)
Answer:
A is correct.
Step-by-step explanation:
Which is the correct way to model the equation 5x+6=4x+(-3) using algebra tiles?
5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side.
5 positive x-tiles = 5x
6 positive unit tiles = 6
4 positive x-tiles = 4x
3 negative unit tiles = -3
-----------------------------------------------------------------------
B - There are 5 x tiles but its given 6 x tiles.
C - There is 6 positive unit tile and its given 6 negative,
D - There is 3 negative unit tile but here its given positive.
Help me on question 6
Answer:
B.
Step-by-step explanation:
The line gets smaller left to right so that means the line is negative. Since the line is negative x must be negative. The line is also touching the y-axis at 6. We are going to use the formula y=mx+b. So our equation is going to be y=6-x.
Which is the most likely to be the actual proportion of defective toys in the population?
The mean, or average, of the data set is 3 defective toys per sample group. Therefore set 0.3 and 0.5 are the most accurate representations.
Option C) 0.3
An arithmetic sequence has this reclusive formula.
Answer:
D
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
The recursive formula allows us to find the next term from the previous term by adding d to it
Given
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 ⇒ d = - 3
Hence
[tex]a_{n}[/tex] = 9 + (n - 1)(- 3) ← explicit formula → D
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. The general formula is a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference.
Explanation:An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. The general formula for an arithmetic sequence is an = a1 + (n-1)d, where an is the nth term, a1 is the first term, and d is the common difference.
For example, in the given sequence 1, 3, 5, 7, 9, the first term a1 is 1, and the common difference d is 2. Using the formula, we can find the nth term by replacing n with the position of the term we want to find. For instance, to find the 5th term, we substitute n = 5:
a5 = 1 + (5-1)2 = 1 + 8 = 9
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What are the factor of 8x^3 - 27?..
Answer:
(x - 3)(4x² + 6x + 9)
Step-by-step explanation:
This is a difference of cubes which factors in general as
a³ - b³ = (a - b)(a² + ab + b²)
8x³ = (2x)³ ⇒ a = 2x
27 = 3³ ⇒ b = 3
Hence
8x³ - 27
= (2x)³ - 3³
= (2x - 3)( (2x)² + (2x × 3) + 3²)
= (2x - 3)(4x² + 6x + 9)
recall that the difference between a country's exports and imports is called the country's trade balance. suppose last year the United states had $968 billion in exports and $1658 billion in imports. what would be the u.s. trade balance for that year?
Let's call trade balance b, exports e and imports i.
We now construct formula.
[tex]b=\Delta{ei}=e-i[/tex]
Put in the data from last year.
[tex]b=968-1658=\boxed{-690}[/tex]
U.S trade balance for that year is -690 billion dollars.
determine the rational zeros for the function f(x)=x^3+7x^2+7x-15
Answer:
1,-3,-5
Step-by-step explanation:
Given:
f(x)=x^3+7x^2+7x-15
Finding all the possible rational zeros of f(x)
p= ±1,±3,±5,±15 (factors of coefficient of last term)
q=±1(factors of coefficient of leading term)
p/q=±1,±3,±5,±15
Now finding the rational zeros using rational root theorem
f(p/q)
f(1)=1+7+7-15
=0
f(-1)= -1 +7-7-15
= -16
f(3)=27+7(9)+21-15
=96
f(-3)= (-3)^3+7(-3)^2+7(-3)-15
= 0
f(5)=5^3+7(5)^2+7(5)-15
=320
f(-5)=(-5)^3+7(-5)^2+7(-5)-15
=0
f(15)=(15)^3+7(15)^2+7(15)-15
=5040
f(-15)=(-15)^3+7(-15)^2+7(-15)-15
=-1920
Hence the rational roots are 1,-3,-5 !
Answer:
Actual rational zeros of f(x) are x=-5, x=-3, and x=1.
Step-by-step explanation:
Given function is [tex]f(x)=x^3+7x^2+7x-15[/tex].
constant term = p = -15
coefficient of leading term q= 1
then possible rational roots of given function f(x) are the divisors of [tex]\pm \frac{p}{q}=\pm 1, \quad \pm 3, \quad \pm 5, \quad \pm 15[/tex]
Now we can plug those possible roots into given function to see which one of them gives output 0.
test for x=1
[tex]f(x)=x^3+7x^2+7x-15[/tex]
[tex]f(1)=1^3+7(1)^2+7(1)-15[/tex]
[tex]f(1)=1+7+7-15[/tex]
[tex]f(1)=0[/tex]
Hence x=1 is the actual rational zero.
Similarly testing other roots, we get final answer as:
Actual rational zeros of f(x) are x=-5, x=-3, and x=1.
jim can paint a house in 12 hours. alex can paint the same house in 8 hours. Enter an equation that can be used to find the time in hours, t, it would take alex and jim to paint the house together assuming they both work at the wages they work when working alone
Answer:
4.8 hr, or 4 hr 48 min
Step-by-step explanation:
Let '1' represent 'the whole house-painting job.'
Then perform a dimensional analysis:
1 whole house job
-------------------------------- = 12 hours. →This restates the obvious: Jim can
1 job/ 12 hrs paint a house in 12 hours.
Now if both people work together, the total time required to paint the house is:
1 house job 1 house job
----------------------------------------- = ------------------------------ = t for whole job
1 job 1 job 8 job-hr + 12 job-hr with both people
------------ + ------------ ----------------------------- working
12 hours 8 hours 96 hr
This turns out to be:
1
-------------------------- = 96/20 hr = 4.8 hr, or 4 hr 48 min
20/96
It would take Jim and Alex 4.8 hours to paint the house together if they both work at their individual rates.
Now, Let's start by finding the individual rates of Jim and Alex in terms of the fraction of the house they can paint per hour.
Jim can paint a house in 12 hours, so his rate is 1/12 of the house per hour.
Similarly, Alex can paint the same house in 8 hours, so his rate is 1/8 of the house per hour.
Now, let's suppose they work together for t hours to complete the job.
During this time, Jim will be able to paint t/12 of the house and Alex will be able to paint t/8 of the house.
The sum of their individual rates is equal to the combined rate at which they can paint the house together.
So we can set up the following equation:
t/12 + t/8 = 1
Solving for t, we get:
t = 4.8 hours
Therefore, it would take Jim and Alex 4.8 hours to paint the house together if they both work at their individual rates.
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The mass of a box with 6 tennis balls is 2 kg 40 g The same box with
10 tennis balls is 3 kg 160g. What is the mass of the empty box!
Answer:
maybe you add then all up
What percent is represented by the shaded area?
flip your phone sideways
there are two pieces, both divided in 10 equal segments.
so each piece is 10/10, or namely 1 whole.
two pieces, 10/10 each, is 20/10 for the whole thing, but there are only 11 shaded, so if we take 20 to be the 100%, what is 11 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 20&100\\ 11&x \end{array}\implies \cfrac{20}{11}=\cfrac{100}{x}\implies 20x=1100\\\\\\ x=\cfrac{1100}{20}\implies x=55[/tex]
Please please help it’s my last question! :) thankyou
Answer:
(-2.65, 3) and (0, -4) and (2.65, 3)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}x^2+y^2=16&(1)\\y+4=x^2&(2)\end{array}\right\qquad\text{substitute (2) to (1)}\\\\(y+4)+y^2=16\\y^2+y+4=16\qquad\text{subtract 16 from both sides}\\y^2+y-12=0\\y^2+4y-3y-12=0\\y(y+4)-3(y+4)=0\\(y+4)(y-3)=0\iff y+4=0\ \vee\ y-3=0\\\\y+4=0\qquad\text{subtract 4 from both sides}\\\boxed{y=-4}\\\\y-3=0\qquad\text{add 3 to both sides}\\\boxed{y=3}[/tex]
[tex]\text{Put the values of y to (2)}:\\\\\text{for}\ y=-4\\x^2=-4+4\\x^2=0\to x=\sqrt0\to\boxed{x=0}\\\\\text{for}\ y=3\\x^2=3+4\\x^2=7\to x=\pm\sqrt{7}\\\boxed{x=-\sqrt7\approx-2.65}\ \vee\ \boxed{x=\sqrt7\approx2.65}[/tex]
What is the perimeter and area of a triangle?
J(-5,6). K(3,4) L(-2,1)
Answer:
Perimeter of triangle JKL: [tex]2 \sqrt{17} + 2\sqrt{34}[/tex].
Area of triangle JKL: 17.
Step-by-step explanation:
None of the three sides of triangle JKL is parallel to either the x-axis or the y-axis. Apply the Pythagorean Theorem to find the length of each side.
[tex]\rm JK = \sqrt{(3 - (-5))^{2} + (4- 6)^{2}} = \sqrt{8^{2} + (-2)^{2}} = \sqrt{68} = 2\sqrt{17}[/tex].
[tex]\rm JL = \sqrt{(-2 - (-5))^{2} + (1- 6)^{2}} = \sqrt{3^{2} + (-5)^{2}} = \sqrt{34}[/tex].
[tex]\rm KL = \sqrt{(-2 - 3)^{2} + (1-4)^{2}} = \sqrt{(-5)^{2} + (-3)^{2}} = \sqrt{34}[/tex].
The perimeter of triangle JKL will be:
[tex]\rm JK + JL + KL = 2\sqrt{17} + \sqrt{34} + \sqrt{34} = 2 \sqrt{17} + 2\sqrt{34}[/tex].
Finding the Area of JKL:Method OneIn case you realized that [tex]\rm JK : JL : KL = \sqrt{2} : 1 : 1[/tex], which makes JKL an isosceles right triangle:
Area of a right triangle:
[tex]\begin{aligned}\displaystyle \rm Area &= \frac{1}{2} \times \text{First Leg} \times \text{Second Leg}\\ &=\frac{1}{2} \times \sqrt{34}\times\sqrt{34}\\&= 17\end{aligned}[/tex].
Method TwoAlternatively, apply the Law of Cosines to find the cosine of any of the three internal angles. This method works even if the triangle does not contain a right angle.
Taking the cosine of angle K as an example:
[tex]\displaystyle\begin{aligned}\rm \cos{K}&=\frac{(\text{First Adjacent Side})^{2} + (\text{Second Adjacent Side})^{2}-(\text{Opposite Side})^{2}}{2\times (\text{First Adjacent Side})\times(\text{Second Adjacent Side})}\\&\rm =\frac{(JK)^{2} + (JL)^{2} -(KL)^{2}}{2\times JK \times JL}\\&=\frac{(2\sqrt{17})^{2}+(\sqrt{34})^{2}-(\sqrt{34})^{2}}{2\times\sqrt{34} \times(2\sqrt{17})}\\ &=\frac{2^{2}\times 17}{2\times \sqrt{2}\times\sqrt{17}\times 2\times \sqrt{17}}\\&=\frac{1}{\sqrt{2}}\end{aligned}[/tex].
Apply the Pythagorean Theorem to find the sine of angle K:
[tex]\displaystyle \rm \sin{K} = \sqrt{1 - (\cos{K})^{2}} = \sqrt{1 - \left(\frac{1}{\sqrt{2}}\right)^{2} } = \sqrt{\frac{1}{2}} = \frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}[/tex].
The height of JKL on the side JK will be:
[tex]\displaystyle \rm KL \cdot \sin{K} = \sqrt{34} \times \frac{\sqrt{2}}{2} = \frac{\sqrt{68}}{2} = \frac{2\sqrt{17}}{2} = \sqrt{17}[/tex].
What will be the area of JKL given its height [tex]\sqrt{17}[/tex] on a base of length [tex]2\sqrt{17}[/tex]?
[tex]\displaystyle \rm Area = \frac{1}{2} \times Base\times Height = \frac{1}{2}\times (2\sqrt{17})\times \sqrt{17} = 17[/tex].
Mr. Case is placing boxes along one of the walls in his attic. If the wall is 11 1⁄3 feet long and each box is 2 1⁄2 feet long, how many boxes can he fit along the attic wall?
He can fit 4 boxes along the wall
Can someone help me please
Answer: W = 700 divided by a+18
Step-by-step explanation:
a) We can plug in $358 into A(w), since A(w) represents the amount of money Dale needs. So,
358 = 700 - 18w
Subtract: -342 = -18w
Divide: w = 19 weeks
b) We can plug in 6 into w, since w represents the number of weeks Dale saves money. So,
A(w) = 700 - 18(6)
Multiply: A(w) = 700 - 108
Subtract: A(w) = $592
find the slope of the line (-4,-4) and (4,3)
Answer:
The slope is 7/8
Step-by-step explanation:
Use the equation: (Y2 - Y1) / (X2 - X1)
[3 - (-4)] / [4 - (-4) = 7/8
The slope is 7/8
it's important that you should remember this formula, so you know the slope of the line:
slope formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
usually i would label the points, like the picture shown below
then, you plug in the points into the equation:
m = [tex]\frac{3 - (-4)}{4 - (-4)}[/tex]
m = [tex]\frac{7}{8}[/tex]
hope this helps!
If you answer parts one and 2 ill give you brainiest and 30 points
Step-by-step explanation:
The center of the circle is moved 3 units to the left and 4 units down. So a = -3 and b = -4.
50 POINTS! WILL MARK BRAINLIEST, THANK, AND RATE! The volume of a right rectangular prism can be determined by multiplying the base area of the figure by the height. The volume of a right rectangular prism with a base area of 8 square inches is more than 64 cubic inches. The inequality 8h > 64 can be used to model the situation, where h represents the height of the figure. Which is a possible value of h?
A. 2
B. 4
C. 8
D. 12
Answer:
D. 12
Step-by-step explanation:
Answer:
D 12
Step-by-step explanation:
8h > 64
Divide each side by 8
8h/8 > 64/8
h > 8
H must be greater than 8
The only value in your list greater than 8 is 12
If you are finding the area of a triangle and there are three sides
Answer:
If you're asking for the formula to find the area of a triangle, its:
1/2bh
b = base
h = height
ten people were asked if they have a brother or sister. this venn diagram shows the results. a person is randomly chosen from those shown in the venn diagram.
let event A = the person has a sister
let event B = the person has a brother
What does P(B| A) = 0.50 mean in terms of the venn diagram ?
Answer:
out of the 4 people who had a sister, 2 also had a brother
Step-by-step explanation:
a pex
The P(B| A) = 0.50 mean in terms of the Venn diagram is of the 4 people who have a brother, 2 of them also have a sister.
What is the experimental probability?Experimental probability is a probability that is determined on the basis of a series of experiments.
Events are defined as follows.
Event A: The selected person has a sister
Event B: The selected person has a brother
The conditional probability of A given B is the probability that the selected person also has a sister since he has a brother.
[tex]\rm P(A|B)=\dfrac{P(A\ and \ B)}{P(B)}[/tex]
P(B) is the probability that the selected person has a brother. Notice that there are 4 people who have a brother.
P(A and B) is the probability that the selected person has a brother and also a sister. Notice that there are 2 people who have a brother and a sister.
So P(A| B) = 0.5 means that of the 4 people who have a brother, 2 of them also have a sister.
Hence, the P(B| A) = 0.50 mean in terms of the Venn diagram is of the 4 people who have a brother, 2 of them also have a sister.
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Help me, please easy Geometry question
A
Step-by-step explanation:
A is a midpoint and so is O, giving reason to why the distances are the same
Find the standard form of the equation of the parabola with a focus at (5, 0) and a directrix at x = -5. (5 points) y = 1 divided by 20 x2 20y = x2 x = 1 divided by 20 y2 y2 = 20x
The standard form of the equation of the parabola with a focus at (5, 0) and a directrix at x = -5 is (x - 5)^2 = 20y.
Explanation:The standard form of the equation of a parabola with a focus at (h, k) and a directrix at x = d is given by (x - h)^2 = 4p(y - k), where p is the distance between the vertex and the focus or directrix.
In this case, the focus is at (5, 0) and the directrix is at x = -5. Since the directrix is a vertical line, the parabola opens to the right. The distance between the vertex and the focus or directrix is given by p = |5 - (-5)|/2 = 5 units.
Substituting the values into the standard form equation gives (x - 5)^2 = 4(5)(y - 0), which simplifies to (x - 5)^2 = 20(y - 0). Therefore, the standard form of the equation of the parabola is (x - 5)^2 = 20y.
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Suppose that y varies directly with x and y 12 when x--2. What is x when y -6?
Answer:
The ordered pair that satisfies this problem is (1, -6); x = 1 when y = -6.
Step-by-step explanation:
Please, rewrite your question as follows:
"Suppose that y varies directly with x and y = 12 when x = -2. What is x when
y = -6?" The " = " sign must be included.
The pertinent proportional relationship is y = kx, where k is the constant of proportionality.
We must find k here. Let y = 12 and x = -2. Then 12 = k(-2), or k = -6.
Then the relationship is y = -6x.
Now let y = -6 and find x: -6 = -6x, or x = 1.
The ordered pair that satisfies this problem is (1, -6)
Ms.Stewart teaches three science classes. Her students are freshman and sophomores. Her student data are shown in the relative frequency table. Which statement is false?
Answer:
Option A is correct that It is a FALSE Statement.
Step-by-step explanation:
Given:
Total number of student = 1
Number of student in Physical Science = 0.3
Number of student in Chemistry = 0.35
Number of student in Biology = 0.35
Number of student who are Sophomores = 0.55
To find: False Statement among given ones.
Percentage of the student in Physical Science = [tex]\frac{0.3}{1}\times100[/tex] = 30%
Percentage of the student in Chemistry = [tex]\frac{0.35}{1}\times100[/tex] = 35%
Percentage of the student in Biology = [tex]\frac{0.35}{1}\times100[/tex] = 35%
Percentage of the student who are Sophomores = [tex]\frac{0.55}{1}\times100[/tex] = 55%
Therefore, Option A is correct that It is a FALSE Statement.
Answer:
A is the answer
Step-by-step explanation:
A small 17 kilogram canoe is floating downriver at a speed of 2 m/s. What is the
canoe's kinetic energy?
Your Answer:
Answer:
units:
The answer is:
Answer: 34
Units: Joules
[tex]KE=34J[/tex]
Why?The kinetic energy is the work needed to accelerate an object to a determined speed.
The kinetic energy can be calculated using the following equation:
[tex]KE=\frac{1}{2}mv^{2}[/tex]
Where,
m, is the mass of the object.
v, is the speed of the object.
So, we are given the information:
[tex]mass=17kg\\\\v=\frac{2m}{s}[/tex]
Then, substituting and calculating we have:
[tex]KE=\frac{1}{2}mv^{2}[/tex]
[tex]KE=\frac{1}{2}*17kg*(\frac{2m}{s})^{2}[/tex]
[tex]KE=8.5kg*(\frac{4m^{2}}{s^{2}})[/tex]
[tex]KE=34\frac{kg.m^{2}}{s^{2}}=34J[/tex]
Have a nice day!
How does the greenhouse effect keep the Earth warm? The atmosphere
O
A. causes the winds moving down from the
poles to bend away from the equator
B. contains strong winds that move from west
to east between hot and cold air
O
c. allows uneven heating of the Earth so that
winds blow from high to low pressure
O
D. contains gases that allow light to pass
through, but trap heat
Answer:
D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
a pet store buys bags of dog food for 30.00 dollars per bag and sells them for 54.00 dollars per bag. What is the percent markup?
Answer:
80%
Step-by-step explanation:
(54-30)/30 *100 = 80%
The options for this are :
8 millimeters
9 millimeters
10 millimeters
12 millimeters
if segments OX = OC and perpendicular to those chords, then AB = YZ, the chords are also equal.
Which of the numbers in each pair is farther to the left on the number line?
a. 305 and 17
b. 187 and 900
c. 16 and 46
d. 157,019 and 149,984
Answer:
16 and 46
Step-by-step explanation:
Lowest number = left of the number line
1 , 2 , 3 , 4 , 5 , 6 , 7
Answer:
Step-by-step explanation:
a) 17 is further to the left on the number line than 305.
b) 187 .... than 900.
c) 16 ... than 46.
d) 149,984 is further to the left than 157,019.
PLEASE HELP!!
A cat is watching a bird in a tree nearby. The tree is approximately 20 ft from the cat (ground distance). If the cat’s line of sight makes a 25° with the ground when he has his eye on the bird, how high up is the bird in the tree?
A. Draw a picture
B. Solve the problem, Solve to the nearest ft.
Answer:
The bird is approximately 9 ft high up in the tree
Explanation:
The required diagram is shown in the attached image
Note that the tree, the cat and the ground form a right-angled triangle
Therefore, we can apply special trigonometric functions
These functions are as follows:
[tex]sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}[/tex]
Now, taking a look at our diagram, we can note the following:
α = 25°
The opposite side is the required height (x)
The adjacent side is the distance between the cat and the tree = 20 ft
Therefore, we can use the tan function
This is done as follows:
[tex]tan(\alpha)=\frac{opposite}{adjacent}\\ \\ tan(25)=\frac{x}{20}\\ \\x=20tan(25) = 9. 32 ft[/tex] which is 9 ft approximated to the nearest ft
Hope this helps :)
Factorise completely 9a^2-1
Answer:
(3a-1)(3a+1)
Step-by-step explanation:
We can quickly see with this problem that it is the difference of two squares as 9a^2 is (3a)^2 and 1 is 1^2 and therefore can factorise quickly using this rule.
x^2-y^2 = (x-y)(x+y) where x = 3a and y = 1
ANSWER
[tex]{(3 {a})^{2} } - {1}^{2} = (3a + 1)(3a - 1)[/tex]
EXPLANATION
We want to simplify completely:
[tex]9 {a}^{2} - 1[/tex]
We express the two terms as difference of two squares;
[tex] {(3 {a})^{2} } - {1}^{2} [/tex]
Recall and apply the following identity;
[tex]{x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
We apply this identity to obtain:
[tex]{(3 {a})^{2} } - {1}^{2} = (3a + 1)(3a - 1)[/tex]