Answer:
6000.
Step-by-step explanation:
Hundreds digit is 6 so we round up the thousand digit (5) to get 6000.
Boubacar has a deck that measures 3 feet by 14 feet. He wants to increase each
dimension by equal lengths so that its area is tripled. By how much should he
increase each dimension?
Answer:
4
Step-by-step explanation:
(3 × 14) × 3 = 126
7 × 18 = 126
Boubacar will have to increase each dimension by 4 ft so that its area is triple.
What is the area of a rectangle?
The area of a rectangle is given by -
A[R] = L x B
where -
L is Length of rectangle
B is Breadth or width of rectangle.
Given is a deck that measures 3 feet by 14 feet. Boubacar wants to increase each dimension by equal lengths so that its area is tripled.
Assume that he increases the dimensions by x ft.
Initial Area = [A] = 3 x 14 = 42 ft².
Final Area = [A'] = 3[A] = 3 x 42 = 126 ft²
Initial dimensions = (L x B) = 3 feet x 14 feet
Final dimensions = (L' x B') = (3 + x) × (14 + x)
Now -
(L' x B') = 126
(3 + x)(14 + x) = 126
3(14 + x) + x(14 + x) = 126
42 + 3x + 14x + x² = 126
x² + 17x - 84 = 0
Solving the equation, we get -
x = 4 [ non negative number ]
Therefore, Boubacar will have to increase each dimension by 4 ft so that its area is tripled.
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Lauryn wants to analyze the weights of the dogs for
people that own that animal in her class. She
records the following weights in a class survey:
28, 61, 17, 42, 37, 37, 22, 40, 13, 14, 33, 41, 25
If she chooses the intervals to be 0-15; 16-30; 31-45;
46-60; 61-75, which interval has the highest
frequency?
A. 16-30
B. 31-45
C. 46-60
D. 61-75
Please help me with this thank you
Answer: 16-30 because it has the most numbers in between
Step-by-step explanation: brainliest?
The interval that has the highest frequency is 16-30. That is option A.
How to determine the highest frequency interval?To determine the class interval with the highest frequency, the following steps should be taken as follows;
The class interval taken are:
0-15 = 13, 14
16-30= 17,28,22,25
31-45= 37,33,41
46-60 = 0
61-75 = 61
Therefore,the class interval with the highest number of animals weight = 16-30.
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Solve the compound inequality for x and identify the graph of its solution.
x+7 > 3 and x-5≤-1
O A. Solution: x < -4 or x ≥ 4
1 2 3 4 5
OB. Solution: x>-4 and x≤ 4
1
2 3 4 5
OC. Solution: x>-4 and x≤ 4
+
+
-5 -4 -3 -2 -1
1
2
3 4 5
OD. Solution: x²-4 and x < 4
1 2 3 4
5
-5 -4 -3 -2 -1 0
-5 -4 -3 -2 -1 0
0
-5 -4 -3 -2 -1 0
Answer:
x<-4 or x≤4
Step-by-step explanation:
The solution of the inequality is x > -4 and x ≤ 4.
So, the graph B is correct.
Given is an inequality, x+7 > 3 and x-5 ≤ -1, we need to solve and identify the graph,
To solve the compound inequality, let's solve each inequality separately and then find the intersection of the solutions.
Inequality 1: x + 7 > 3
Subtract 7 from both sides:
x > 3 - 7
x > -4
Inequality 2: x - 5 ≤ -1
Add 5 to both sides:
x ≤ -1 + 5
x ≤ 4
Now, we need to find the intersection of the solutions for both inequalities.
Since the conjunction between the two inequalities is "and," we need to find the common solution.
The common solution is the values of x that satisfy both x > -4 and x ≤ 4. From the two inequalities, we can see that the common solution range is from -4 to 4, including -4 but not including 4.
Therefore, the solution to the compound inequality is: -4 < x ≤ 4
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The cost, in dollars, of shipping x computers to
California for sale is 3000+100x. The amount
received when selling these computers is 400x
dollars. What is the least number of computers
that must be shipped and sold so that the
amount received is at least equal to the shipping
cost?
The least number of computers that must be shipped is 10.
What is the least number of computers that must be shipped?In order to determine the least number of computers that must be shipped, the equation that represents the cost of shipping should be equal to the selling price of the computers.
3000 + 100x = 400x
In order to determine the value of x, take the following steps:
3000 = 400x - 100x
3000 = 300x
x = 3000 / 300
x = 10
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A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
Red
4
Blue
3
Green
20
Yellow
14
Purple 16
Based on these results, express the probability that the next spin will land on red as a
percent to the nearest whole number.
The probability that the next spin lands on red is
How to determine the probability?The table of values is given as:
Red = 4
Blue = 3
Green = 20
Yellow = 14
Purple = 16
The probability that the next spin lands on red is:
P(Red) = Red/Total
This gives
P(Red) = 4/(4+3+20+14+16)
Evaluate
P(Red) = 7%
Hence, the probability that the next spin lands on red is
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Answer:8%
Step-by-step explanation:
Please Help I Don't Understand
In general, they're not similar.
In any triangle with side lengths a, b, and c, we have the aptly-named triangle inequality that says the largest side is no larger than the sum of the smaller sides. In other words, if a and b are both smaller than c, then
a + b ≥ c
Suppose x < 12. Then BC corresponds to either YZ or XY.
• If BC corresponds to YZ, then the triangles are similar if and only if
BC/YZ = AB/XY = AC/XZ
x/2 = 9/3 = 12/4 = 3 ⇒ x = 6
• If BC corresponds to XY, then triangle similarity means
BC/XY = AB/YZ = AC/XZ
x/3 = 9/2 = 12/4
but this fails because 9/2 ≠ 12/4 = 3.
Suppose x > 12. Then BC corresponds to XZ, and
x/4 = 12/3 = 9/2
but this also fails because 12/3 = 4 ≠ 9/2.
(We ignore the case of x = 12 because that would make ∆ABC isosceles, and ∆XYZ certainly is not.)
So ∆ABC and ∆XYZ are similar only if x = 6. Under this condition, similarity would follow from the SSS similarity theorem.
Find the value of x - Step by step answer please
Answer:
x = -2
Step-by-step explanation:
Given :
[tex]\frac{8}{x+1} = \frac{-16}{x+4}[/tex]
=============================================================
Cross multiplying the terms :
⇒ 8 (x + 4) = -16 (x + 1)
⇒ 8x + 32 = -16x - 16
⇒ 24x = -48
⇒ x = -2
What is the product of 3x(x²+4)?
Ox²+3x+4
O 3x³ +4
O 3x³ + 12x
O 3x² + 12x
Answer:
3x³ + 12x
Step-by-step explanation:
3x(x² + 4)
3x³ + 12x
RATIONAL EXPONENTS pls help what do i do??
Answer:
x = 3
Step-by-step explanation:
[tex]26=-1+(27x)^{\frac{3}{4}}[/tex][tex]\implies 26+1=27^{\frac{3}{4}} x^{\frac{3}{4}}[/tex][tex]\implies 27\div 27^{\frac{3}{4}} =x^{\frac{3}{4}}[/tex][tex]\implies 27^{1-\frac{3}{4}} =x^{\frac{3}{4}}[/tex][tex]\implies 27^{\frac{4-3}{4}} =x^{\frac{3}{4}}[/tex][tex]\implies 27^{\frac{1}{\cancel 4}} =x^{\frac{3}{\cancel 4}}[/tex][tex]\implies 27 =x^{3}[/tex][tex]\implies 27^{\frac{1}{3}} =x[/tex][tex]\implies (3^3)^{\frac{1}{3}} =x[/tex][tex]\implies x = 3[/tex]Answer:
x = 3Step-by-step explanation:
[tex]26=-1+\left( 27x\right)^{\frac{3}{4} }[/tex]
[tex]\Longleftrightarrow 27=\left( 27x\right)^{\frac{3}{4} }[/tex]
[tex]\Longleftrightarrow \left( 27\right)^{\frac{4}{3} } =\left[ \left( 27x\right)^{\frac{3}{4} } \right]^{\frac{4}{3} }[/tex]
[tex]\Longleftrightarrow \left( 27\right)^{\frac{4}{3} } =\left( 27x\right)^{\frac{3}{4} \times \frac{4}{3} }[/tex]
[tex]\Longleftrightarrow \left( 27\right)^{\frac{4}{3} } =27x[/tex]
[tex]\Longleftrightarrow x=\frac{27^{\frac{4}{3} } }{27}[/tex]
[tex]\Longleftrightarrow x=27^{\frac{4}{3} -1}[/tex]
[tex]\Longleftrightarrow x=27^{\frac{1}{3} }[/tex]
[tex]\Longleftrightarrow x=\sqrt[3]{27}[/tex]
[tex]\Longleftrightarrow x=3[/tex]
Which expression is equivalent to x² + 2x + 2?
(x+1-i)(x+1+i) 1
(x+1-i)(x+1-i) 2
(x + 2)(x + 1) 3
(z-1+i)(z-1--i) 4
Answer:
[tex](x+1-i)(x+1+i)[/tex]
Step-by-step explanation:
[tex](x+1-i)(x+1+i)\\\\=(x+1)^2 -i^2~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\=x^2 +2x +1 -(-1)\\\\=x^2 +2x +1+1\\\\=x^2 +2x +2[/tex]
1712 is a odd or even number
please answer quickly, (1 question, 30 pts) thanks!
Step-by-step explanation:
once the level of medicine reaches a value, where 30% are 23mL (so, whatever is lost, is immediately replaced again), that is then the long run value for the amount of the drug in the patient's body.
so,
30% = 23 mL
1% = 30%/30 = 23/30 = 0.766666666...
100% = 1%×100 = 0.766666666... × 100 = 76.666666...
so, once the level reaches 76.666666... mL in the body, it will remain constant, as the daily filtered out 30% are 23 mL, and the daily add-on is also 23 mL.
so, the answer is
76.667 mL
Complete the slope-intercept form of the linear equation that represents the relationship in the table
Answer:
y = 3x - 4
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" is the slope and "b" is the y-intercept.
(Step 1)
Before you can determine this equation, you need to find the value of "m". Since you were given the value of two points, you can find this by using the point-slope form. The general structure of the point-slope equation is:
y₁ - y₂ = m(x₁ - x₂)
y₁ - y₂ = m(x₁ - x₂) <---- Point-slope equation
-1 - 8 = m(1 - 4) <---- Insert "x" and "y" values from table
-9 = m(1-4) <---- Simplify left side
-9 = -3m <---- Simplify inside parentheses
3 = m <---- Divide both sides by -3
(Step 2)
Now that you know "m", you can plug it and the "x" and "y" values of one point into the slope-intercept equation to find the value of "b".
y = mx + b <---- Slope-intercept equation
y = 3x + b <---- Plug 3 into "m"
-1 = 3(1) + b <---- Plug "x" and "y" values in
-1 = 3 + b <---- Multiply 3 and 1
-4 = b <---- Subtract 3 from both sides
(Step 3)
Now that you know that m = 3 and b = -4, you can substitute these values into the slope-intercept form to find your final answer. You can check your answer by plugging the "x" values from the table into the equation to verify that you get the correct "y" values.
y = 3x - 4
d. If f¹(x+2) =X-1/x+1x not equal to 1 then find f(x) and f¹(4).
I assume by f¹, you actually mean f⁻¹ as in the inverse of f. I also assume you are asked to find f(x) (as in the inverse of f⁻¹) and f⁻¹(4).
Given that
[tex]f^{-1}(x+2) = \dfrac{x-1}{x+1}[/tex]
with x ≠ 1, we can find f⁻¹(x) by replacing x + 2 with x :
[tex]f^{-1}(x + 2) = \dfrac{x-1}{x+1} = \dfrac{(x+2) - 3}{(x + 2) - 1} \implies f^{-1}(x) = \dfrac{x-3}{x-1}[/tex]
Then when x = 4, we have
[tex]f^{-1}(4) = \dfrac{4-3}{4-1} = \dfrac13[/tex]
Of course, we also could have just substituted x = 2 into the definition of f⁻¹(x + 2) :
[tex]f^{-1}(4) = f^{-1}(2+2) = \dfrac{2-1}{2+1} = \dfrac13[/tex]
To find f(x), we fall back to the definition of an inverse function:
[tex]f^{-1}\left(f(x)\right) = x[/tex]
Then by definition of f⁻¹, we have
[tex]f^{-1}\left(f(x)\right) = \dfrac{f(x)-3}{f(x)-1} = x[/tex]
Solve for f :
[tex]f(x) - 3 = x (f(x) - 1)[/tex]
[tex]f(x) - 3 = x f(x) - x[/tex]
[tex]f(x) - x f(x) = 3 - x[/tex]
[tex](1 - x) f(x) = 3-x[/tex]
[tex]f(x) = \dfrac{3-x}{1-x} = \dfrac{x-1}{x-3}[/tex]
answer please hahahahhaha
[tex]\dfrac{5-i}{4+3i}=\dfrac{(5-i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{20-15i-4i-3}{16+9}=\dfrac{17-19i}{25}=\dfrac{17}{25}-\dfrac{19}{25}i[/tex]
¿Cuál es la tasa de cambio promedio para f(x) = 2(-5x + 18) me ayudan
Answer-10x+46
Step-by-step explanation: hope this helps
Answer: Answer-10x+46
PLEASE HELP THIS IS HARD
Can someone help please?
Solve the equation. 13x-5=1+11x
Answer:
x=3
13x-5=1+11x
(ADD 5 TO BOTH SIDES)
13x-5+5=1+11x+5
SIMPLIFY
13x=11x+6
SUBTRACT 11x FROM BOTH SIDES
13x-11x=11x+6-11x
SIMPLIFY
2x=6
DIVIDE BOTH SIDES BY 2
2x/2 = 6/2
SIMPLIFY TO GET FINAL ANSWER
x=3
Brett draws the shape shown below.
He says the shape can be classified as a quadrilateral, parallelogram, rhombus, and square.
Is Brett correct? Explain.
The given figure is quadrilateral, parallelogram, and a rhombus but not a square. So brett is not correct.
What is a square?A square is a quadrilateral with all the sides equal and all the four sides are perpendicular to each other.
We know that it is a quadrilateral as a quadrilateral is having four sides and the sum of the angles is 180 degrees.
The given figure is a parallelogram as opposite sides of the figure are parallel and equal.
The given figure is a rhombus as all the sides are parallel and equal.
The given figure can not be a square as in the square all the four sides are perpendicular to each other.
Therefore given figure is quadrilateral, parallelogram, and a rhombus but not a square. So brett is not correct.
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The function m is given in three equivalent forms.
Answer:
B; (-4, -8)
Step-by-step explanation:
The given forms of the equation are standard form, vertex form, and intercept form.
__
It is not surprising that the vertex form yields the vertex most quickly.
B) m(x) = 2(x +4)² -8
Compare this to the generic vertex form ...
f(x) = a(x -h)² +k . . . . . . . . . vertex (h, k)
We see that the vertex is (h, k) = (-4, -8).
help me pls i have 10 minutes left
Answer:
Rhombus
Step-by-step explanation:
Sides are parallel but have no right angles.
Answer:
parallelogram
Step-by-step explanation:
Opposite sides of the figure have the same slope (0 or 5/2), so are parallel. The product of the slopes is not -1, so the angles are not right angles. Adjacent sides are different lengths, so the figure is not a rhombus.
__
The figure is a parallelogram.
_____
Additional comment
The slope is the "rise" (change in y-coordinate) of the segment divided by its "run" (change in x-coordinate). The left and right sides have a rise of 7-2 = 5, and a run of 6-4 = 2 -0 = 2. Their slope is 5/2.
The top and bottom sides have a rise of 0, so a slope of 0.
When the product of the slopes of different segments is -1, those segments are perpendicular. The perpendicular to a horizontal line has "undefined" slope, so the product of the slopes would be (0)×(undefined). This is a special case of perpendicular lines where the product of slopes is not -1.
The sum of negative eighteen and a number is eleven. What is the number?
Which equation could be used to solve the problem?
Answer:
-18 + x = 11
x = 29
Step-by-step explanation:
To solve this, you can use the formula of a + b = c
[tex]-18 + x = 11\\-18 = 18\\11 + 18 = 29\\x = 29[/tex]
Answer:
29
Step-by-step explanation:
Your equation can be -18+x=11. Since we don't know the number, we can use x. We are trying to find out a number that when it's added to -18, the answer will be 11.
Now, we solve the equation:
-18+x=11
x=11+18
x=29. Answer
To check this answer:
we can use our equation and substitute 29 for x.
-18+x=11
-18+(29)=11
11=11.
They are equal. Therfore, the answer is correct.
Please help worth
70 points
will mark branlest
Answer:
CE = 3.2 cm
DH = 4.5 cm
Explanation:
Given:
MNPR ≅ CEDH
≅ - means approximately equal
Lengths of the shape:
MN = CE = 3.2 cm
NP = ED = 6.5 cm
PR = DH = 4.5 cm
RM = HC = 9 cm
Select the correct answer from each drop-down menu.
Consider the function shown on the graph.
Graph shows a function plotted on a coordinate plane. A curve begins at (minus 1, minus 3) in quadrant 3, rises through (0, minus 2), (3, minus 1), and (8, 0), and exits quadrant 1.
Complete the statements to make them true.
This is the graph of a
function.
The x-intercept of the function is at
The graph described is the graph of a quadratic function.
The x-intercept of the function is at; (8, 0).
What type of function is described by the graph?It follows from the description box of the graph that it begins in the third quadrant, and rises through a series of points in the first quadrant before it exits the first quadrant.
Hence, it follows that the graph is a quadratic function and its x-intercept is at point; (8,0).
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Answer: 1. Square root
2.(8,0)
Step-by-step explanation:
All the perfect squares and perfect cube numbers ranging from 1-500
The selling price of an item is Rs. 690 on which 15% profit is earned by the trader. What is the cost price of the item?
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
≛ Given ≛ ➣Selling Price of an item is Rs. 690➣Profit earned by trader 15%▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂
≛ To find ≛ ➣Cost price of the item▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂
≛ Formula to be used ≛ ➣here we use profit formulathat is :-
[tex]{ \boxed{✠\underline{ \boxed{ \sf{ \red✰Cost \: price =100 \times \frac{selling \: price}{100 + profit\%} }}}✠}}[/tex]
when selling price and profit "%" is given▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂
≛ Assumption ≛ ➣let cost price be "x"▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂
≛ let's solve acc to formula≛[tex]\rm{➾x = 100 \times \frac{690}{100 + 15}} \\\rm{➾x \frac{100 \times 690}{100 + 15}~~~~~~~~~~~~~~~ } \\ \rm{➾x = \frac {100 \times \cancel{ 690}}{ \cancel{115}}}~~~~~~~ \\ \rm{➾x = 100 \times 6}~~~~~~~~~~~~~~~ \\ \rm{➾x =106}~~~~~~~~~~~~~~~[/tex]
▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂
➣ Hence "x" (Cost price) of the item
[tex] \large{ \boxed{✠\underline{ \boxed{ \sf{ Rs.106\green✓}}}✠}}[/tex]
▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂☘
Hope it helps !
please help will give brainly, 30 points
Find f(-3) if f(x)=x^2+2x-1
100 points and brainliest for correct answer!
(ITS NOT B.)
The information in the table shows the average weekly temperatures in degrees Fahrenheit of four cities.
Which city’s data set is bimodal?
A. City A
B. City B
C. City C
D. City D