50 - [ 7 + ( 3^(2) / 2 ) ]
Step by step please
Answer:
evaluation : 38.5 38.5 is the answer because you simplify this term
Step-by-step explanation:
find the value of x inscribed angles
Answer:
x = 84°
y = 96°
Step-by-step explanation:
By tangent secant theorem:
[tex]x = \frac{1}{2} \times 168 \degree \\ \\ x =84 \degree \\ \\y = \frac{1}{2} \times (360 - 168) \degree \\ \\ y = \frac{1}{2} \times 192 \degree \\ \\ y = 96 \degree [/tex]
what are the ordered pairs for 2x+y=-12
HELP!!!
Find the length of side x in simplest radical form with a rational denominator.
Answer:
Step-by-step explanation:
Square root of 2
Which equation represents a parabola with a focus of (0, 5) and a directrix of y=-1?
Answer:
x^2 = 12 (y - 2)
Step-by-step explanation:
how to explian
The equation that represents a parabola is x^2 = 12(y-2).
What is a parabola?Parabola is a open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is the locus of a point that is equidistant from a fixed point called the focus (F), and the fixed-line is called the directrix.
For the given situation,
A parabola with a focus of (h,k+p) is (0, 5) and
A directrix of y = (k-p) = -1
Here,
[tex]k+p=5\\k-p=-1[/tex]
On solving these equations,
[tex]k=2, p =3[/tex]
The general equation of parabola is
[tex](x-h)^{2} =4p(y-k)[/tex]
On substituting all the values,
⇒ [tex](x-0)^{2} =4(3)(y-2)[/tex]
⇒ [tex]x^{2} =12(y-2)[/tex]
Hence we can conclude that the equation that represents a parabola is x^2 = 12(y-2).
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(4x 10) + (5x2) + (7 x 1 10) + (8 160) = ?
Answer:
It's 45.78
Step-by-step explanation:
4 x 10 = 40
5 x 1 = 5
7 x 1/10 = 0.7
8 x 1/100 = 0.08
add them all together and you get 45.78
Two busses go from Sacramento for San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 8.5 hours for the trip. The speed of the express bus is 15 mph faster than the speed of the local bus. Find the speed, in miles per hour, of both busses.
Divide (x3 - 1) by (x - 1)
PLEAS HELP FAST !!
solve the equation below. please include the steps.
x^2+8x+15=0
Answer:
[tex]x_{1} =-5\\and \\x_{2} =-3[/tex]
Step-by-step explanation:
Solve by using factoring ------->
rewrite the expresion
x^2+8x+15=0
x^2+5x+3x+15=0
factor out x from the expression
x^2+5x+3x+15=0
xx(x+5)+3x+15=0
xx(x+5)+3(x+5)=0
factor out x+5 from expression
(x+5)x(x+3)=0
when the product of factors equals 0, at least one factor is 0
x+5=0
x+3=0
solve the equation for x
x = -5
x = -3
the equation has 2 solutions
[tex]x_{1} =-5, x_{2} =-3[/tex]
Step-by-step Explanation:Quadratic formula
[tex]x=\frac{-8+\sqrt{8^{2} -4x1x15} }{2x1}[/tex]
any expression multiplied by 1 remains the same
[tex]x=\frac{-8+\sqrt{8^{2}-4x15 } }{2}[/tex]
evaluate the power
[tex]x=\frac{-8+\sqrt{64-4x15} }{2}[/tex]
multiply the numbers
[tex]x=\frac{-8+\sqrt{64-60} }{2}[/tex]
subtract the numbers
[tex]x=\frac{8+\sqrt{4} }{2}[/tex]
calculate the square root
[tex]x=\frac{-8+2}{2}[/tex]
write solution with a + sign and a - sign
[tex]x=\frac{-8+2}{2} \\x=\frac{-8-2}{2}[/tex]
calculate the value
[tex]x=-3\\x=-5[/tex]
the equation has 2 solutions
[tex]x=-3\\x=-5 \\and\\x_{1} =-5\\x_{2} =-3[/tex]
Enterprise rents small vans to the Salvation Army to help deliver hot meals to senior citizens. Each van can only carry 1,200 pounds (lbs) of people and gear for safety reasons. The vans transport a number of volunteers to a central location to start deliveries from. Each person will deliver a single meal per trip. Assume the average weight of a person is 150 pounds. Each van will require 200 pounds of gear to keep the meal hot during transport, plus 10 pounds for each meal that will be delivered.
a) Create an inequality describing the restrictions on the number of people possible in a van. Graph the solution set.
b) A group of five volunteers wish to rent a van. What is the maximum average weight that the five volunteers can weigh and still be able to rent a van? Justify your answers.
Answer:
inverseoperations
Step-by-step explanation:
An inequality is used to represent unequal expressions or numbers. The inequality describing the restrictions on the number of people possible in a van is [tex]160n + 200 \le 1200[/tex].
Given that:
[tex]Total = 1200[/tex] --- total pounds the van can contain
[tex]Weight = 150[/tex] --- average weight of each person
[tex]Gear = 200[/tex] -- weight of the gear in a van
[tex]Meal =10[/tex] -- weight of each meal
Assume there are n people.
The total weight (T) of the n people is:
[tex]T = Weight \times n[/tex]
Substitute [tex]Weight = 150[/tex]
[tex]T = 150 \times n[/tex]
[tex]T = 150n[/tex]
The total weight (M) of the meals is:
[tex]M= Meal \times n[/tex]
Substitute [tex]Meal =10[/tex]
[tex]M= 10\times n[/tex]
[tex]M= 10n[/tex]
Because the van cannot contain more than 1200 pounds, we use less than or equal to as the inequality.
So, the inequality is:
[tex]T + M + Gear \le 1200[/tex]
[tex]150n + 10n + 200 \le 1200[/tex]
[tex]160n + 200 \le 1200[/tex]
Hence, the inequality is: [tex]160n + 200 \le 1200[/tex]
The solution to the inequality is as follows:
[tex]160n + 200 \le 1200[/tex]
Collect like terms
[tex]160n \le 1200-200[/tex]
[tex]160n \le 1000[/tex]
Divide both sides by 160
[tex]n \le 6.25[/tex]
Remove the decimal part (do not approximate)
[tex]n \le 6[/tex]
Hence, the vehicle cannot contain more than 6 people.
See attachment for graph
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x²-11x+28 please answer
The table describes some of the solutions of the inequality 3> 21.which graph best describes the solution of 3m > 21
This is the correct answer
This inequality will be represented by an arrow starting from 7 and directed towards the right. Option 3 will be the correct answer.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given inequality is,
3m [tex]\geq[/tex] 21
To find the solutions to the given inequality solve this inequality first.
3m/3 [tex]\geq[/tex] 21/3
m [tex]\geq[/tex] 7
This inequality will be represented by an arrow starting from 7 and directed towards the right.
Since, inequality is having a sign notation of greater than equal to, the arrow will start with a dark circle located at 7.
Therefore, Option 3 will be the correct answer.
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A limnologist takes samples from a creek on several days
and counts the numbers of flatworms in each sample,
The limnologist wants to look at the relationship between
the temperature of the creek and the number of
flatworms in the sample. The data show a linear pattern
with the summary statistics shown below:
mean
standard
deviation
= 10.2
Sx = 2.8
x = creek temperature
(C)
j = 37.6
$y = 30.8
y = number of
flatworms
• = -0.98
Find the equation of the least-squares regression line
for predicting the number of flatworms from the
creek temperature.
Round your entries to the nearest hundredth.
Answer:
y = 147.56 - 10.78x
Step-by-step explanation:
Given :
x = 10.2 ; y = 37.6 ; Sx = 2.8 ; Sy = 30.8 ; r = - 0.98
The regression equation :
y = mx + c
Where ;
m = slope ; c = intercept
Slope = r * (Sy/Sx)
Slope = - 0.98 * (30.8 / 2.8)
Slope = - 0.98 * 11 = - 10.78
To obtain c :
y = mx + c
y - mx = c
37.6 - (-10.78)(10.2) = c
37.6 + 109.956 = c
147.556 = c
Hence, equation becomes :
y = 147.556 - 10.78x
y = 147.56 - 10.78x
Answer:
y = 147.56 + -10.78x
Step-by-step explanation:
WHATS THE SLOPE INTERCEPT OF THE EQUATION OF THE LINE THAT PASSES THREW (1,6) AND HAS A SLOPE OF 5
Answer:
why man
Step-by-step explanation:
Answer:
y=5x+1
Explanation:
I suggest using webmath, its very helpful!
Given f(x)=-5x+2, find f(6)
I need help ASAP, marking brainliest. Please show work.
Answer:
WY = 28
Step-by-step explanation:
Using the pythagorean theorem, we can find out the measures of lenghts WX and YX individually.
VX^2 = VW^2 + WX^2
ZX^2 = ZX^2 + XY^2
Substitute
400 = 256 + WX^2
400 = 144 + XY^2
Simplify
WX^2 = 144
XY^2 = 256
WX = 12
XY = 16
WY = 28
Select the correct answer from the drop-down menu.
Find the missing term.
Replace the question mark (?) with
to make the equation true.
Answer:
Step-by-step explanation:
An arts academy requires there to be 6 teachers for every 144 students and 3 tutors for every 27 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 63 students?
whats 1+1???/ HELLPPP PLEASE HELPPP
Answer:
it 11 IT NOT 22 NOR 2 okay 11
Step-by-step explanation:
1.5 ( x + 3 ) + 3.8 ( 7 x − 2 ) ?
Answer: 28.1x−3.1
Step-by-step explanation: 1.5(x+3)+3.8(7x−2)
=(1.5)(x)+(1.5)(3)+(3.8)(7x)+(3.8)(−2)
=1.5x+4.5+26.6x+−7.6
=(1.5x+26.6x)+(4.5+−7.6)
=28.1x+−3.1
=28.1x−3.1
The golf course fills large cylinder-shaped containers with drinking water and
places them along the course. The containers are 27 inches tall and have a
diameter of 14 inches. A gallon is 231 cubic inches.
14 inches
27 inches
Which of the following best represents the volume of the water container in
gallons?
Answer:
37
\
Step-by-step explanation:
Choose all the common denominators for 1/4 and 7/10
Answer:
1 and 2
Step-by-step explanation:
4 and 10 are even and that means there is 2 in the group and one cause 1 fits into everything
The common denominators of the given fractions [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] are 20 and 40.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
The two fractions are given which are : [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] .
We know that the numerator is the top or upper value in a fraction whereas a denominator is lower or bottom value in a fraction.
Here , the denominators in both the fractions are 4 and 10 respectively.
To find out the common denominators for both the fractions , we need to calculate the common multiples of 4 and 10.
Multiples of 4 are :
4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 , 44
Multiples of 10 are :
10 , 20 , 30 , 40 , 50
Common multiples are :
20 and 40
This meant , common denominators will be 20 and 40.
Therefore , the common denominators of the given fractions [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] are 20 and 40.
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I need help fast!! 7th grade math
Answer:
TU
Step-by-step explanation:
Imagine flipping the original trapezoid on its side and eyeballing which side of the now flipped trapezoid looks like the side CD.
Can someone help me PLEAS
Answer:
D
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic
help middle school question!!!
Answer:
The shaded region has an area of 1400 square units
Step-by-step explanation:
Area of Compound Shapes
We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.
The lengths of these rectangles are x, y, and z.
The value of x can be calculated as:
x = 60 - 15 - 10 = 35
Similarly:
y = 60 - 15 = 45
z = y = 45
The first rectangle has dimensions of x by 10, thus its area is:
A1 = 35*10 = 350
The second rectangle has dimensions of 60 by 10:
A2 = 60*10 = 600
The third rectangle has dimensions y by 10:
A3 = 55*10 = 450
The shaded area is:
A = 350 + 600 + 450 = 1400
The shaded region has an area of 1400 square units
Answer:
1400 square unit
Step-by-step explanation:
A.Who was the first english mathematician who first used the modern symbol of equality in 1557?
(To get the answer,compute the sums of the given exercises below.
Write the letter of the problem correponding to the answer found in each box at the bottom).
Answer:
Robert Recorde.
Step-by-step explanation:
Robert Recorde was a Welsh known for vast knowledge and experience in the field of mathematics and physics. He was born in Tenby, Pembrokeshire, Wales during the Medieval period (c. 1512).
Robert Recorde was famously known for his work in the field of mathematics and most especially, the invention of the equal to (=) sign. He introduced it in his book titled "The Whetstone of Witte."
Hence, Robert Recorde was the first english mathematician who first used the modern symbol of equality in 1557.
What is the value of 599 x (400+37)?
Answer:
261763
Step-by-step explanation:
599*437
=261763
what is 4(6-1) distributive property?
Answer:
4(6 - 1) = 4 * 6 - 4 * 1 = 24 - 4 = 20
Step-by-step explanation:
Multiply 4 by each of the numbers inside the parentheses.
4(6 - 1) = 4 * 6 - 4 * 1 = 24 - 4 = 20
Answer: 24-4
Explanation: 4(6-1)
4x6=24
4x-1=-1
24-4
Which is not a true statement about the figures shown below
Answer:That is no thing shown below
Step-by-step explanation:
Answer:
I wish I could help you but you didn't attach a picture.
Rachel has a bag containing 3 red marbles, 5 purple marbles, and 10 blue marbles.
What is the probability that she will pull a purple marble out of the bag? What is the
complement?
Answer:
5/18, 13/18
Step-by-step explanation:
The basic probability of anything is Specific Outcome / Total Outcomes
The specific outcome here is pulling a purple marble. We see there are 5 purple marbles therefore there are 5 ways to get them. The total outcomes are the total number of marbles which is 18. Therefore, the answer is 5/18
The complement of a probability is 1 minus the original probability, so, it would be 1 - 5/18 here getting us 13/18 as the answer.
