Answer:
7
Step-by-step explanation:
We want to evaluate the fraction below for x = 3. We will put the value of x to be 3:
[tex]\dfrac{7^2}{x^2-2}\\\\= \dfrac{7^2}{3^2-2}\\\\= \dfrac{49}{9-2}\\\\= \dfrac{49}{7} = 7[/tex]
The answer is 7.
Answer:
7Step-by-step explanation:
goodluck khan academy users
Find the slope of the tangent to the curve below at (-1,10)
Answer:
- 8
Step-by-step explanation:
Note that [tex]\frac{dy}{dx}[/tex] is the slope of the tangent at x = a
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = 3x² - 2x + 5, then
[tex]\frac{dy}{dx}[/tex] = 6x - 2
x = - 1 : [tex]\frac{dy}{dx}[/tex] = 6(- 1) - 2 = - 6 - 2 = - 8
The graph of the function f(x)=x^2-4x+6 is shown here. What is it’s axis of symmetry
Answer:
x = 2
Step-by-step explanation:
Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.
x² - 4x + 6
= (x - 2)² - 4 + 6
= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.
A cone shaped container can hold 340.2 in cubed. If the radius of the opening is 5in what is the height of the cone? Round to the nearest in.
Answer:
about 128 inches
Step-by-step explanation:
Since it's talking about how much the container is holding, this means we have to use the formula for the volume of a cone, which is [tex]V=\pi r^{2} \frac{h}{3}[/tex]
Plug in the given values into the formula and solve for h:
[tex]340.2=\pi (5)^{2} \frac{h}{3}[/tex]
[tex]340.2=\pi (25)\frac{h}{3}[/tex]
[tex]\frac{340.2}{25\pi } = \frac{25\pi\frac{h}{3} }{25\pi }[/tex]
[tex]42.75=\frac{h}{3}[/tex]
[tex]42.75(3)=\frac{h}{3} (3)[/tex]
[tex]128=h[/tex]
A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 38.47 units2 94.99 units2 153.86 units2 379.94 units2
Step-by-step explanation:
here first you have to find the perimeter of square
given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....
now you have the radius of the circle so by applying the formula of area of circle the answer will be finded
Please follow
Answer:
38.47 units²
Step-by-step explanation:
I got it right on the test...
a store is having a sale on almonds and jelly beans. for 2 pounds of almonds and 3 jelly beans , the total cost is $14. for 4 pounds of almonds and 8 pounds of jelly beans, the total cost is $33. find the cost of each pound of almonds and each pound of jelly beans
Answer:
almonds cost $3.25 per pound and jelly beans $2.50
Step-by-step explanation:
system of linear equations
2a+3j=14
4a+8j=33
solution is (3.25, 2.5)
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
Answer:
The answer is "64".
Step-by-step explanation:
Given:
8-sided fair die
output of Die = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }
if the Dice is thrown two times. so, the possible outputs are as follows:
[tex]\to 8 \times 8=64[/tex]
[tex]\texttt{ = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),}\\ \ \ \texttt{(1,7),( 1, 8),(2,1),(2,2),(2,3),(2,4),}[/tex]
[tex]\texttt{(2,5),(2,6),(2,7),(2,8),(3,1), (3,2),}\\ \texttt{(3,3),(3,4),(3,5),(3,6),(3,7),(3,8) ,}\\\texttt{(4,1),(4,2),(4,3), (4,4),(4,5),(4,6),} \\[/tex]
[tex]\texttt{(4,6),(4,7),(4,8),(5,1),(5,2),(5,3),}\\\texttt{(5,4),(5,5),(5,6),(5,7),(5,8),(6,1),}\\\texttt{(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),}[/tex]
[tex]\texttt{(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),} \\\texttt{(7,6),(7,7),(7,8),(8,1),(8,2),(8,3),}\\ \texttt{(8,4),(8,5),(8,6),(8,7),(8,8)}[/tex]
That's why the product is 64.
I’m confused. Thanks
Step-by-step explanation:
Angle XBC = 55 degrees because it is a corresponding angle with Angle AXC
and corresponding angles are equal or congruent.
Ok so angle XBC = 55 degrees and since this an isosceles triangle
XBC = XCB which means XCB = 55 degrees
Now to find angle BXC we know that all angles of a triangle add up to 180 degrees.
Angle XBC + Angle XCB + Angle BXC = 180 degrees
Let x represent angle BXC
55 + 55 + x = 180
110 + x = 180
x = 180 - 110
x = 70
∴ Angle BXC = 70 degrees
A sandwich shop is ordering apples and grapes to make chicken salad. Apples cost $2.19 per pound and grapes cost $2.60 per pound. If they ordered a total of 20 pounds of apples and grapes and paid $35.80, how many pounds of grapes did they order?
We got $19.51 but we think it is wrong.
Answer:
Less than 13 pounds of grapes,
as 14 pounds of grape exceeds $35.80,
If you order as low as zero pounds of grapes, then the price of apple pounds would be $35.80/20 =$1.79 per pound
Step-by-step explanation:
Let
Quantity of Apple and grapes=20
Cost of apple=$2.19
Cost of grape=$2.60
Total cost of apple and grape=$35.80
a+g=20
a=20-g
PaQa+PgQg=35.80
2.19(20-g)+2.60g=35.80
43.8-2.19g+2.60g=35.80
0.41g=35.80-43.8
0.41g=-8
g=-8/0.41
g= -19.51
PaQa+PgQg=35.80
2.19a+2.60(-19.51)=35.80
2.19a-50.726=35.80
2.19a=35.80+50.726
2.19a=86.526
a=86.526/2.19
=39.51
PaA+PgG=35.80
Pa(20-G)+2.60G=35.80
35.80/2.60 = 13.77 pounds of grapes, but no money will be left to buy apples, unless Pa=0
G<13.77
A company laid off one-sixth of its workforce because of falling sales. If the number of employees after the layoff is 690, how many employees were laid off?
Answer:
138
Step-by-step explanation:
Let the number of employees before the layoff be x.
1/6 of the company's workers were laid off and the remaining workers are 690. This means that:
1/6 * x = x - 690
=> x/6 = x - 690
=> 690 = x - x/6
690 = 5x/6
=> x = (690 * 6) / 5
x = 828
There were 828 workers before the layoff. Therefore, the number of employees that were laid off is:
828 - 690 = 138 employees
The company's laying off its workforce is an illustration of proportions.
A total of 138 employees were laid off
The proportion (p) laid off is given as:
[tex]p = \frac 16[/tex]
The proportion (q) remaining in the workforce would be
[tex]q = 1 - p[/tex]
This gives
[tex]q = 1 - \frac 16[/tex]
[tex]q =\frac 56[/tex]
The workforce after 1/6 were laid off is given as 690.
So, we have:
[tex]q \times n = 690[/tex]
Where n represents the original workforce
This gives
[tex]\frac 56 \times n = 690[/tex]
Multiply both sides by 6/5
[tex]n = 828[/tex]
The number of employees that were laid off is:
[tex]Employee = 828 - 690[/tex]
[tex]Employee = 138[/tex]
Hence, 138 employees were laid off
Read more about proportions at:
https://brainly.com/question/16981404
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. A square labeled 16 x squared minus 40 x + 25 What is the side length, in inches, of the pet shop sign?
Answer:
length of side of square = (4x - 5) inches
Step-by-step explanation:
We are given;
Area of square = 16x² – 40x + 25
Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a
Thus;
x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)
x = [40 ± √(1600 - 1600)]/32
x = (40 ± 0)/32
x = 40/32
x = 5/4
Thus, the factors of the polynomial are;
(4x - 5)²
So,
Area = 16x² – 40x + 25 = (4x - 5)²
Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches
the diagonals PR and QS of a rhombus intersect each other at point O. prove that 2(PQ) + 2(QR) + 2(RS)+ 2(PS) = 4 (2(OP)+2(OQ))
Answer:
It is proved that 2PQ + 2SR + 2QR + 2 PS = 4(2(OP)+2(OQ))
Step-by-step explanation:
In a rhombus, all sides are equal.
Thus, in this question;
PQ = SR = QR = PS
By inspection, QS is the same dimension as the four sides. So, QS = PQ
Thus, OQ = PQ/2
For OP, we can find it using Pythagoreas theorem since the angle that divides the diagonals is 90°
Thus;
|OP|² + |OQ|² = |PQ|²
Earlier, we saw that;OQ = PQ/2
Thus;
|OP|² + |PQ/2|² = |PQ|²
|OP|² = |PQ|² - |PQ/2|²
|OP|² = |PQ/2|²
Taking square root of both sides, we have;
OP = PQ/2
So,going back to the question, on the right hand side, we have;
4(2(OP) + 2(OQ))
Let's put,
PQ/2 for OQ and OP as gotten earlier
So,
4(2(PQ/2) + 2(PQ/2)) = 4(PQ + PQ)
Since PQ = SR = QR = PS, we can rewrite as;
4PQ + 4PQ = (PQ + SR + QR + PS) + (PQ + SR + QR + PS) = 2PQ + 2SR + 2QR + 2 PS
This is equal to the left hand side, so the equation is proved correct.
How many sides does a regular polygon have
if one of its exterior angles =45°?
Answer:
8 sides.
Step-by-step explanation:
Divide the exterior angle with 360.
360 ÷ 45 = 8
The regular polygon has 8 sides.
Answer:
Step-by-step explanation:
Sum of measures of all angles of a regular polygon = 360 degree
one exterior angle = 45 degree
∴ no of sides = 360/45 = 8 sides
hope this helps
plz mark it as brainliest!!!!!!
Help please .....................
Answer:
70
Step-by-step explanation:
well you know that angles in the same segment are equal so angle VWZ also= 38
triangle VWZ is a triangle so the sum of interior angles sums to 180
180-72-38=70
can someone help asap
Answer:
1/3
Step-by-step explanation:
7/12 - 3/12= 4/12= 1/3
In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?
Answer:
c = 730 cm
Step-by-step explanation:
To solve this question we just need to use the law of sines:
The ratio between a side in the triangle and its opposite angle is always the same.
So we have that:
[tex]a / sin(A) = c / sin(C)[/tex]
[tex]714 / sin(78) = c / sin(90)[/tex]
sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:
[tex]714 / 0.9781 = c / 1[/tex]
[tex]c = 714 / 0.9781 = 730\ cm[/tex]
2/7 - 3/2 for anyone that doesant know that’s a fraction am struggling on
Answer:
-17/14
Step-by-step explanation:
To subtract fractions, you must have a common denominator. If that is not given, you make it.
You do so buy finding the LCM of denominators:
LCM of 7 and 2 = 14
Now, here you have multiplied the denominators either by 7 or 2. You do the same for the respective numerators:
2x2/14 - 3x7/14 = 4/14 - 21/14.
Now that you have the same denominator, subtract the numerators:
4-21 = - 17
Put it back as a fraction : -17/14
hope this helps.
25 points !!! 3 1/3 x 52
Answer:
Irrational
Step-by-step explanation:
3 1/3 × √52
= 10/3 × √52
= 20/3√13
= 24.037009
Irrational, the product cannot be written in the form p/q as a fraction.
Answer:
irrational
Step-by-step explanation:
3 1/3 * sqrt(52)
Changing to an improper fraction
10/3 * sqrt(52)
10 /3 * sqrt( 4*13)
10/3 * sqrt(4) sqrt(13)
10/3 * 2 sqrt(13)
20/3 sqrt(13)
Since sqrt(13) is irrational the product is irrational
According to Maria, it takes 240 cherries to make 3 perfect cherry pies. How many cherries would it take to make 9 perfect cherry pies?
Answer:
720 cherries
Step-by-step explanation:
Answer:
720
Step-by-step explanation:
Cherries Cherie pie
240 = 3
X = 9
The known number of cherries will be given as x then u cross multiply
3×X=240×9
3X=2,160
Divide both sides by 3
3/3X=2,160/3
X=2,160/3
X=720
This implies that the number of cherries needed to make 9 cherry pie is 720
I hope this help
Which measurement is not equivalent to the others? 1 yard 3 feet 1/100 of a mile 36 inches
Answer: 1/100 of a mile
Step-by-step explanation:
36 inches is equal to 3 feet which is equal to 1 yard
1/100 of a mile = 633.6 inches
Answer:
1/100 of a mile
Step-by-step explanation:
Is the following graph a linear function, a nonlinear function, and/or a relation
Answer: Option C.
Step-by-step explanation:
Ok, first, a linear function is something of the shape of:
y = a*x + b.
And the graph of those functions is a line, as the name implies, so we can discard that option.
So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.
Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.
Then the correct option is C, nonlinear, and a relationship.
What is the area of the triangle given below? 2 and 6
Answer:
6 sq. units
Step-by-step explanation:
The area of a triangle is base times height divided by 2.
[tex]\frac{bh}{2}[/tex]
[tex]\frac{6 \times 2}{2}[/tex]
[tex]\frac{12}{2} =6[/tex]
Answer:
D. 6
Step-by-step explanation:
The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:
A=1/2bh
A=1/2(6)(2)
A=1/2(12)
A=6
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Simplify (10–2) 4. A) 10^-8 B)10^-6 C)-10^-6 D)-10^8
Answer:
A
Step-by-step explanation:
[tex](10^{-2})^{4}[/tex]
Apply the law of exponents.
[tex]10^{-2 \times 4}[/tex]
[tex]=10^{-8}[/tex]
Answer:
[tex] = {10}^{ - 8} \\ [/tex]
Answer A is correct.
Step-by-step explanation:
[tex] {( {10}^{ - 2}) }^{4} \\ {10}^{ - 2 \times 4} \\ = {10}^{ - 8} [/tex]
Work out the range of these numbers : -8, 6, -5, 2.5 thanks!
Answer:
14
Step-by-step explanation:
The range of a given set of values is the lowest value deducted from the highest value.
Lowest value is -8 and highest value is 6.
Therefore,
[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]
Hope it helps!
The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).
What is an equivalent equation solved for y2?
Answer:
y2 = m(x2-x1)+y1
Step-by-step explanation:
Given the formula for finding the slope of a linear equation to be;
m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)
To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:
m = y2-y1/x2-x1
Cross multiplying
m(x2-x1) = y2-y1
mx2-mx1 = y2-y1
Adding y1 to both sides of the equation we have;
mx2-mx1 + y1= y2-y1+y1
y2 = mx2-mx1 + y1
y2 = m(x2-x1)+y1
This gives the resulting equation to solve for y2
Answer:
c
Step-by-step explanation:
edg
Because you are working a late shift, you will get an increase in your wage. You will get and additional 10% per hour from 6:00pm to 12:00 am and additional 15% from 12:00 am to 1:00 am
CHECK THE COMPLETE QUESTION BELOW:
Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour
Answer:
I will make $13.2 per hour
Explanation:
It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour
Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that
10% = (10/100)*$12per hour
=$1.2per hour
Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:
15% = (15/100)*$12per hour
=$1.8 per hour
which means that Employee gets additional $1.8 per hour
of the money for working from 12.00 AM to 01.00 AM
Therefore, if Employee works from 2.00 PM to 12.00 AM,
Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which
= $12 + $1.2 = $13.2
= \$ 12 + \$ 1.2 = \$ 13.2
In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]
please help !!
Answer:
DF = 25
Step-by-step explanation:
We know that the triangle midpoint theorem says that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
So,
DF = [tex]\frac{1}{2} AC[/tex]
Where AC = 50
DF = 50/2
DF = 25
I'd greatly appreciate the help-
Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.
40 meters in 16 seconds
Answer:
32 seconds
Step-by-step explanation:
Answer:
2.5 meters in a second.
Step-by-step explanation:
I'm assuming it's how many meters per second.
meters : seconds
40 : 16
10 : 4
2.5 : 1
Elizabhet debe preparar carapulcra para 32 personas si se basa en la receta que se muestra que cantidad necesitara de cada ingrediente carapulcra 8 porciones un medio de papa seca un medio kg de carne de chancho 1 cebolla grande 3 cucharadas de aji panca un entero un medio cucharadas de ajos molidos 1 cucharada de sal
Step-by-step explanation:
Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32
Papa seca = [tex]\frac{1}{2} *4[/tex]
= 2 papas secas
Cerdo = [tex]\frac{1}{2} *4[/tex]
= 2 kg de carne de cerdo
Cebollas = 1 * 4
= 4 cebollas grandes
Aji panca = 3 * 4
= 12 cucharadas de aji panca
Ajo molido = [tex]1\frac{1}{2} *4[/tex]
= [tex]\frac{3}{2} *4[/tex]
= 6 cucharadas de ajo molido
Sal = 1 * 4
= 4 cucharadas de sal
Triangle JKL is similar to triangle TUV. Find the missing side length of triangle TUV.
A. 10.6
B. 6
C. 6.2
D. 5.8
Answer:
B) 6 inches
Step-by-step explanation:
==>Given that ∆JKL ~ ∆TUV, it therefore means the ratio of proportion of the corresponding sides of ∆JKL and ∆TUV are equal.
Thus:
JK/TU = JL/TV = KL/UV
10/7.5 = 8/x = 13/9.75
Let's find x
10/7.5 = 8/x
=>Cross multiply
10*x = 8*7.5
10x = 60
Divide both sides by 10
x = 6 inches
Our answer is B) 6 inches