The missing number will be 6863.7.
It is given in the question that ; 68637 = 10 × missing number.
We have to find out the missing number.
What will be the value of 100 divided by 10 ?
The answer will be equal to 10.
Let's assume the missing number be x.
⇒ 68637 = 10 × x
⇒ x = 68637 ÷ 10
When dividing by 10 we need to move the decimal point once to the LEFT.
∴ x = 6863.7
Thus the missing number will be 6,863.7.
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Given f(x) = 2x2 − 3x + 7, find f(2.5)
Answer:
12
Step-by-step explanation:
Given that,
f(x) = 2x² - 3x + 7
To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.
Let us solve it now.
f(2.5) = 2(2.5)² - 3×2.5 + 7
f(2.5) = 12.5 - 7.5 + 7
f(2.5) = 12
Answer:
\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)
f(2.5) = 12 is the right answer.I Need help pleaseeeeeee
Answer:
A
Step-by-step explanation:
according triangle inequality,
the sum of any two sides of a triangle is larger than the remaining side.
so a + b > c is correct
of the company's
A company receives 1.5% commission on the sale price of each house sold. For each house he sells, James earns
commission. James sells a house for $205,000. How much money will James earn?
Answer:
$1,025
Step-by-step explanation:
(205000)(.015)/3 = 1025
James will receive or earn $1,025
In the slope 5/9, the 5 indicates to
A. Rise 5 units
B. Run 5 units
C. Fall 5 units
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
A′(5.8, −3), B′(1.6, −1.5), C′(−1.6, 3), D′(2.5, 3)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(2.4, −3.6), B′(1.2, −1.2), C′(−2.4, 1.26), D′(−2.4, −2.4)
A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4)
If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:
Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).
Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).
Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).
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A pair of tow trucks are pulling on a trailer that is stuck
in mud. The first truck pulls a a pair of tow trucks are pulling on a trailer that is stuck in mud. the first truck pulls with a force of 10,000
pounds at a 110° angle from the second truck, which is
pulling with a force of 7,500 pounds. What is the
magnitude of the resultant force?
9.821 pounds
10,244 pounds
14,405 pounds
24 226 pounds
Answer:
R=10,244 Lb
Step-by-step explanation:
In order to solve this problem, we can start by drawing the situation. (See attached picture).
We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°
In this case we can find the resultant force by using the law of cosines:
\(A^{2}=B^{2}+C^{2}-2AB cos \alpha\)
so we can use the data given by the problem:
\(R^{2}=T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha\)
so we can solve this for R, so we get:
\(R=\sqrt{T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha}\)
now we can substitute:
\(R=\sqrt{(10,000Lb)^{2}+(7,500Lb)^{2}-2(10,000Lb)(7,500Lb) cos (70^{0})}\)
which yields:
R=10,244Lb
Answer:b
Step-by-step explanation:
Took the test
julia needs to make 500 hamburgers for the a school function... hamburger patties are sold in packets of 12
how many packets of patties should she buy ?
Julia needs to buy 42 packets of patties to make 500 hamburgers for the school function
What is an equation?An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.
Hamburger patties are sold in packets of 12. Let x represent the number of packet of patties to be bought to make 500 hamburgers. Hence:
12x = 500
x = 500/12
x = 41.67
x≅ 42
Julia needs to buy 42 packets
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Do Instagram have a where to see who screenshot your story?
Please look at the photo for the question. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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Piper is located at (3, -12) on a map. Bobbi is located at
(3, 2). How far apart are they?
Check the picture below.
Ms. Kirkland is baking muffins. Each batch of muffins uses 1 ½ pounds of flour. How many batches of muffins can she bake with 7 ½ pounds of flour? ______________ batches. (Just the number).
Answer:
5
Step-by-step explanation:
7.5/1.5=5
Answer: The answer is 5
Step-by-step explanation: I have my ways ;>
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Your family goes to dinner. The meal costs $55 for all of you. You pay 7% sales tax and leave a 9% tip. What is the total cost of the meal after tax and tip?
Answer:
8.80 dollars
Step-by-step explanation:
Question:-
The area of two similar triangles are 81 cm2 and 49 cm² respectively. If one of the sides of the first triangle is 6.3 cm, find the corresponding side of the other triangle.
Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
To find \(\displaystyle\sf x\), we can solve the proportion above:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
Taking the square root of both sides:
\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)
Simplifying the square root:
\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)
Cross-multiplying:
\(\displaystyle\sf 9x = 6.3 \times 7\)
Dividing both sides by 9:
\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)
Calculating the value:
\(\displaystyle\sf x = 4.9\)
Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer:
Step-by-step explanation:
let's assume that the corresponding side of the second triangle is .
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
To find , we can solve the proportion above:
Taking the square root of both sides:
Simplifying the square root:
Cross-multiplying:
Dividing both sides by 9:
Calculating the value:
Therefore, the corresponding side of the second triangle is 4.9cm
hope it helped u dear...........
what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
A farmer brought 15 watermelons to a picnic. Each watermelon was cut into 6 slices. If each person ate only one slice, how many people had watermelon?
Answer:
how much people are there
... . . ..........
in 5/6÷4/5 the blank is 4/5
Answer:
25/24=1 1/24
Step-by-step explanation:
The figure is made up of a circle and 2 identical circles inside a bigger semicircle. O is the center of the bigger semi circle. The radius of the bigger semicircle is 14cm. Find the area of the shaded parts
The area of the shaded parts is 1274π cm².
Given:
A bigger semicircle with center O and radius 14 cm.
Two identical circles inscribed inside the bigger semicircle.
We need to find the area of the shaded parts.
Calculate the area of the bigger semicircle.
Area of a circle = πr², so the area of a semicircle is (1/2)πr².
Area of the bigger semicircle \(= (1/2) \times \pi \times \sqrt{(14 cm) }\)
\(= 7\times \pi 196 cm ^{2}\)
= 1372π cm².
Determine the radius of the identical circles.
Since the two identical circles are inscribed inside the semicircle and touch each other, their radius is half the radius of the bigger semicircle.
Radius of identical circles \(= (1/2) \times 14 cm = 7 cm.\)
Calculate the combined area of the two identical circles.
Area of one identical circle = πr²
\(= \pi \times (7 cm^{2} )\)
= 49π cm².
Combined area of two identical circles \(= 2 \times49\pi cm^{2}\)
= 98π cm².
Calculate the area of the shaded parts.
Area of the shaded parts = Area of the bigger semicircle - Combined area of the two identical circles
Area of the shaded parts = 1372π cm² - 98π cm²
= 1274π cm².
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Guided Practice
Find the slope of a line perpendicular to the graph of the equation.
y = –8
A.
undefined
B.
0
C.
1/8
Answer:
A.
undefined
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line.
Undefined Math.way
The calculation for y=0y=0 corresponds to the
point where the graph crosses the________-axis. This is the point (______)
The calculation for y=0 corresponds to the point where the graph crosses the x-axis . This is the point (x,0) .
In the question ,
it is given that y=0 ,
When y=0 in a point (x,y) means , that point lies on the x -axis , and it is called as the x intercept .
X intercept is defined as the point where the graph of a line crosses the x-axis .
the point on the x-axis will be (x,0) ,
So , the graph will cross the x-axis when y=0 , and that point will be (x,0).
and the value of x will be called as the x intercept of the graph .
Therefore , the calculation for y=0 corresponds to the point where the graph crosses the x-axis . This is the point (x,0) .
The given question is incomplete , the complete question is
The calculation for y=0 corresponds to the point where the graph crosses the________-axis. This is the point (______) .
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what is the mode of 14, 17, 21, 28, 40
Answer:
24
Step-by-step explanation:
14 + 17 + 21 + 28 +40 / 5
120 / 5
24
10 Find the value of 2x+y for the simultaneous equations.
3x + 5y = 48
2x-y=19
y=3
x=11
hence answer 25
3x+5y=48
2x-y=19
eliminate x to find y
(3x+5y=48)2
(2x-y=19)3
(6x + 10y. = 96)
- minus direct
(6x - 3y. = 57)
=
13y = 39
Note: (10y -(-3y)=13y)
divide by 13 to remain with y
y =3
substitute to any equation to get x lets pick second one
2x-(3)=19
2x-3=19
2x=19+3
2x/2=22/2. (to remain with x value)
x=11
therefore 2x+ y results to 2(11) +3=25
Answer:
2x + y = 25
Step-by-step explanation:
Given equations:
\(\begin{cases} 3x + 5y = 48\\\;\;2x-y=19\end{cases}\)
Rearrange the second equation to isolate y:
\(\implies 2x-y=19\)
\(\implies 2x-19=y\)
Substitute the found expression for y into the first equation and solve for x:
\(\implies 3x+5y=48\)
\(\implies 3x+5(2x-19)=48\)
\(\implies 3x+10x-95=48\)
\(\implies 13x=143\)
\(\implies x=11\)
Substitute the found value of x into the equation for y and solve for y:
\(\implies y=2x-19\)
\(\implies y=2(11)-19\)
\(\implies y=22-19\)
\(\implies y=3\)
Therefore, the solution of the given system of equations is:
x = 11, y = 3To find the value of 2x + y, substitute the found values of x and y into the expression and solve:
\(\begin{aligned}\implies 2x+y&=2(11)+3\\&=22+3\\&=25\end{aligned}\)
Therefore:
2x + y = 25The sum of 9 distinct positive integers is 2009. Find the maximum possible value of the greatest common divisor of these 9 numbers.
Answer:
49
Step-by-step explanation:
The greatest common divisor of the addends must also be a divisor of 2009. That number can be factored as ...
2009 = 1×2009 = 7×287 = 41×49
The largest possible factor such that the other factor can be a sum of 9 positive integers is 49.
The maximum value of the GCD is 49.
When rolling a 6-sided die twice, determine P(sum of 4). three thirty sixths five thirty sixths eight thirty sixths two sixths
On each roll of a 6-sided die, we have 6 possible outcomes.
Then if we roll it twice, we will have 36 outcomes.
The outcomes where the sum is 4 are:
roll 1 roll 2 sum
1 3 4
3 1 4
2 2 4
Son in 3 out of 36 outcomes the sum can be 4, then the probability opf rolling a sum of 4 is given by the quotient:
P = 3/36
P = 1/12
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I will mark as brainlyist IF u Are right. No one answers anyway so...
Answer:
PN
Step-by-step explanation:
The segment PN is the exact same as AB, just smaller.
Answer:
The segment parallel to the one given is PN
Step-by-step explanation:
PN could be the only segment parallel
Can yall help me with this
The cuboid has the following dimensions (A = 11 in, B = 4 in, C = 8 in, D = 4 in) and the following surface areas: Lateral: S = 264 in², Total: S' = 328 in².
How to determine the lateral and total surface area of a solid
In this problem we find a cuboid, whose lateral and total surface area must be found. The lateral surface area is the sum is the sum of the areas of all faces except bases and the total surface area is the sum of the areas of the six faces. The area formula needed for the surface area is the rectangle:
S = w · h
Where:
w - Width, in inches.h - Height, in inches.Sides
A = 11 in, B = 4 in, C = 8 in, D = 4 in
Lateral surface area
S = 2 · (11 in) · (4 in) + 2 · (11 in) · (8 in)
S = 88 in² + 176 in²
S = 264 in²
Total surface area
S' = 2 · (4 in) · (8 in) + 264 in²
S' = 328 in²
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If a stock valued at $40 per share increases by 20% and then decreases by 25% what is the resulting value of the stock?
Answer:
$36
Step-by-step explanation:
The stock value of $40 increased by 20%.
Increased value
= 20% of $40
= (20/100) × $40
= $800/100
= $8
New stock value
= Initial value + increased value
= $40 + $8
= $48
Then, the value decreased by 25%.
Decreased value
= 25% of $48
= (25/100) × $48
= $1200/100
= $12
New stock value
= Initial value + decreased value
= $48 - $12
= $36
So, the resulting stock value is $36.
Answer:
The resulting value of the stock is $36.
Step-by-step explanation:
First, we need to find out what 20% of $40 is.
40 x 0.20 = 8
40 + 2 = $48
Therefore, the stock value, when increased, is $48.
Now, we need to see what 25% of $48 is.
48 x 0.25 = 12
48 - 12 = $36
Therefore, the resulting value of the stock is $36.
Need help with my geometry homework grade due to
The surface area of the base ball to the nearest whole number is 26 in²
What is surface area of a sphere?A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of a sphere is expressed as;
SA = 4πr²
where r is the radius and it's calculated as;
C = 2πr
9 = 2πr
r = 4.5/π =
SA = 4 π × (4.5/π)²
SA = 81/π
SA = 26 in²( nearest whole number)
Therefore the surface area of the sphere is 26 in²
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Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9
Answer: is A
Step-by-step explanation:
The graph shows the amount of protein contain in a certain brand of peanut butter. Which statement describes the meaning of the point (6, 30) on the graph?
A.) There are 6 g of protein per tablespoon of peanut butter.
B.) There are 30 g of protein per tablespoon of peanut butter.
C.) There is 6 g of protein in 30 tablespoons of peanut butter.
D.) There are 30 g of protein in 6 tablespoons of peanut butter.
Answer:
D.) There are 30 g of protein in 6 tablespoons of peanut butter.
Step-by-step explanation:
Interpretation of the graph:
x-axis: tablespoons
y-axis: grams of protein.
Which statement describes the meaning of the point (6, 30) on the graph?
(6,30) means that x = 6 and y = 30.
This means that in 6 tablespoons there are 30g of protein.
So the correct answer is:
D.) There are 30 g of protein in 6 tablespoons of peanut butter.
Answer:
The answer is D