Answer:
-2√10, 2√10
Step-by-step explanation:
Graphing x²-40 would be the fastest way to go. However, because this is not factorable, you have to use the quadratic formula to solve it if you want to do it algebraically.
Answer:
[tex]2\sqrt{10}[/tex], -[tex]2\sqrt{10}[/tex]
Step-by-step explanation:
(x^2) + 2 - 42 = 0
(x^2) - 40 = o
x =± [tex]\sqrt{40\\}[/tex]
x =± [tex]2\sqrt{10}[/tex]
Therefore x = [tex]2\sqrt{10}[/tex], -[tex]2\sqrt{10}[/tex],
The chef in a restaurant makes a large kettle of soup each day. The restaurant sells the soup in different-sized bowls.
At 7 p.m the kettle contains 20 3/8 cups of soup. A server scoops 5/8 cup from the kettle into a small bowl. How many cups of soup are left in the kettle?
Answer: 79/4
Step-by-step explanation:
The kettle contains 20 3/8 cups of soup = 163/8 cups
A server scoops 5/8 cup from the kettle
So,
163/8 - 5/8 = 158/8 = 79/4
If a dart were thrown randomly at the dart board shown below, what is the
probability that it would land in the area between the circle with radius 2 mm
and the circle with radius 8 mm?
A. 31%
B. 48%
C. 33%
D. 45%
Answer: A. 31%
Step-by-step explanation:
First you need to find the area within each circle. This can be found by using the formula: pi * r^2
The area of the circle with radius 8mm is 64 * pi. The area of the circle with radius 14mm is 196 * pi.
196 * pi = 615.75216
64 * pi = 201.06193
Now divide the larger area by the smaller area to get how many times larger the large area is than the small area.
615.75216 / 201.06913 = 3.06239
3.06239 rounds up to 3.1
Now we know the radius of 14mm has an area 3.1 times the area of 8mm. The area of an 8mm radius has 31% of the area of a 14mm radius.
Determine the vertical asymptote for the rational function f(x) = x-4 over 3x +2
Answer: (b) x = -2/3
Step-by-step explanation:
The vertical asymptote is the restriction on x.
The denominator cannot be equal to zero so that it the restriction.
Set the denominator equal to zero and solve for x to find the asymptote.
3x + 2 = 0
3x = -2
x = -2/3
Consider the following 8 numbers, where one labelled x is unknown. 3, 49, 36,x, 21, 39, 39, 41 given that the range of the numbers is 57, WORK OUT 2 VALUES OF X
Answer:
Step-by-step explanation:ghjhh
Why is the median listed at 55 when none of the data points is 55?
Answer: If there is an even amount of numbers in the list, the median is the average of the two middle most numbers, once they are in least to greatest.
Step-by-step explanation:
Karin wants to use the distributive property to mentally find the value of 19⋅42+19⋅58. Which expression can she use?
Answer:
[tex]19( 42+ 58)[/tex]
Step-by-step explanation:
[tex]19 \cdot 42+19 \cdot 58\\[/tex]
The common factor is 19
[tex]19( 42+ 58)[/tex]
Answer:
A
Step-by-step explanation:
dont know how explain.
In right triangle RST, ∠T is a right angle, m∠S=41∘, and ST=8. What is the measurement of RT? Enter the correct value. If necessary, round your answer to two decimal places, like this: 42.53
Answer:
RT is 6.95 units long
Step-by-step explanation:
Use tan to find the unknown measurement
tan 41 = x/8 Simplify
0.8692 = x/8 Multiply both sides by 8
6.9536 = x
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
-7, -10
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
8, 5, 2, -1, -4,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
8 - first term
5 - second term
8 ? ? = 5
8 - 3 = 5
So, this means they subtracted three to get the next term. Therefore, the pattern should be 'subtract three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
8, 5, 2, -1, -4,...
8 - 3 = 5
5 - 3 = 2
2 - 3 = -1
-1 - 3 = -4
So, since 'subtracting three' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next two terms.
-4 - 3 = -7
-7 - 3 = -10
Therefore, the next two terms in the sequence are -7, -10.
(99^2-98^2)/197+(98^2-97^2)/195+(97^2-96^2)/193+ ... +(2^2-1^2)/3
plz help
Answer:
99
Step-by-step explanation:
(99^2-98^2)/197+(98^2-97^2)/195+(97^2-96^2)/193+ ... +(2^2-1^2)/3
each term can be written as:
(a²- b²)/(a+b)= (a+b)(a-b)/(a+b)= a-bso the sum will look as:
99 -98+ 98- 97 + 97- 96 + ... +2- 1= 99-1= 98(all middle terms get cancelled leaving only 99 and -1 in the equation)
Choose the correct conversion of 42 grams to milligrams. A. 0.042 B. 0.42 C. 420 D. 42,000
Answer:
42,000 mg
Step-by-step explanation:
multiply the mass value by 1000
42K thats all--------------------
Taylor is playing a board game with two friends. Using a single die, one friend rolled a one, and the other friend rolled a three. Taylor needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning.
What is the sample space for Taylor’s calculation?
Answer:
{4, 5, 6}
Step-by-step explanation:
I'm assuming the die has the numbers 1 - 6 on it. Out of the numbers 1-6, the only numbers greater than 1 and 3 are 4, 5, and 6.
Pls help summer homework :D C:
Answer:
C) None of the above
Step-by-step explanation:
Reason is V is a shorter distance and q is longer they need to be subtraction but the other way round to enable the correct subtraction we can show (q-V) which means the longer distance minus the shorter distance.
Methane, the chief component of natural gas, burns in oxygen according to the equation
CH4(g) + 2 O2(g) -----> CO2(g) + 2 H2O(g)
If 7.0 mol of CH4 react with an unlimited amount of oxygen, what amount (in moles) of H2O(g) will be produced?
please show your work!
Answer:
14
Step-by-step explanation:
From the equation, we see that 1 mol of methane produces 2 moles of water. To find the amount of water produced if 7.0 moles of methane react, we use the following proportion:
1 mol of methane / 7 moles of methane = 2 moles of water / x moles of water
x = 7*2 = 14 moles of water
14. Which of the following is the measure of QRS?
S
Q
R
Answer: B. 90ᴼ
Step-by-step explanation:
QRS is a right angle. Right angles always have a measure of 90ᴼ
Answer:
B
Step-by-step explanation:
Right angle is 90
A baseball team has won 7 less than 4 times
as many games as it has lost. It has lost n
games, so it has won 4n - 7 games.
If n is 26, what is 4n – 7?
Answer:
4n – 7 = 97 if n = 26
Step-by-step explanation:
Problem statement : If n is 26, what is 4n – 7
To solve this problem we will substitute 26 in place of n in 4n-7
Solving it
4*26 - 7
=> 104 -7 = 97
Thus, number of games won by the team is 97.
Find the area of a circle with diameter of 10 cm. Let pi = 3.14
Answer:
A = 78.5 cm^2
Step-by-step explanation:
The diameter is 10 so the radius is 1/2 of the diameter
r =1/2d = 1/2(10) = 5
The area of a circle is
A = pi r^2
A = 3.14 (5)^2
A = 78.5 cm^2
The triangle is an equilateral triangle
One side is A
The radius is A/2
What is the area of the center triangle?
Answer:
[tex]Orange\ area = A^2(\sqrt{3}/4 - \pi/8) = 0.0403A^2[/tex]
Step-by-step explanation:
First let's find the area of the triangle, using the formula:
[tex]Area\_triangle = side^2\sqrt{3}/4[/tex]
[tex]Area\_triangle = A^2\sqrt{3}/4[/tex]
Now, let's find the area of each circular sector of 60° (internal angle of a equilateral triangle):
[tex]Area\_sector = \pi*radius^2*60/360[/tex]
[tex]Area\_sector = \pi*(A/2)^2/6[/tex]
[tex]Area\_sector = \pi*A^2/24[/tex]
Now, To calculate the orange area in the center, we have:
[tex]Orange\ area = Area\_triangle - 3*Area\_sector[/tex]
[tex]Orange\ area = A^2\sqrt{3}/4 - \pi*A^2/8[/tex]
[tex]Orange\ area = A^2(\sqrt{3}/4 - \pi/8)[/tex]
[tex]Orange\ area = 0.0403A^2[/tex]
A car travels 3 hours at 50mph; then travels 40mph for 7 hours. How many miles does it travel during the 10 hours?
Answer: 430 miles
Step-by-step explanation:
Distance = speed x time
1) D = 50 x 3 = 150
2) D = 40 x 7 = 280
Total distance travelled = 150+280 = 430
can anyone help? soh cah toa trig question to the nearest tenth of a foot?
Answer:
About 2.7 feet
Step-by-step explanation:
The tangent of an angle is equivalent to the length of the opposite side divided by the length of the adjacent side:
[tex]\tan 44=\dfrac{x}{2.8}\\\\x=2.8 \cdot \tan 44\approx 2.7[/tex]
Hope this helps!
Answer:
x = 2.7 feet
Step-by-step explanation:
Use tan to find the value of x
tan 44 = [tex]\frac{x}{2.8}[/tex] Simplify
0.9657 = [tex]\frac{x}{2.8}[/tex] Multiply both sides by 2.8
x = 2.70396 Round this answer to the nearest tenth of a foot
x = 2.7 feet
Pete, Chris, and Dina realized that the number of A’s they each received on their report cards were in a ratio of 4:2:5. If Pete got 14 more A’s than Chris, how many A’s did Dina get?
Answer:
[tex]Dina= 35[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 4:2:5[/tex]
Peter = 14 more A's than Chris
Required
How many A’s did Dina get?
The order of the ratio is Peter: Chris: Dina
This implies that
[tex]Peter: Chris: Dina = 4:2:5[/tex]
Considering Peter and Chris
[tex]Peter: Chris = 4:2[/tex]
Let the number of Chris' A's be represented by A
This implies that:
Peter's = 14 + A
And as such;
[tex]14 + A : A = 4 : 2[/tex]
Convert ratio to division
[tex]\frac{14 + A}{ A} = \frac{4}{ 2}[/tex]
Multiply both sides by A
[tex]A * \frac{14 + A}{ A} = \frac{4}{ 2}* A[/tex]
[tex]14 + A = \frac{4}{ 2}* A[/tex]
[tex]14 + A = 2* A[/tex]
[tex]14 + A = 2 A[/tex]
Subtract A from both sides
[tex]14 + A-A = 2 A-A[/tex]
[tex]14 = A[/tex]
This means that;
Chris answered 14 while Pete answered 28 (14 + 14)
Considering Chris and Dana
[tex]Chris :Dana = 2:5[/tex]
Replace Chris with 14
[tex]14:Dana = 2:5[/tex]
Convert ratio to division
[tex]\frac{14}{ Dina} = \frac{2}{5}[/tex]
Cross Multiplication
[tex]Dina * 2 = 14 * 5[/tex]
Divide both sides by 2
[tex]\frac{Dina * 2}{2} = \frac{14 * 5}{2}[/tex]
[tex]Dina= \frac{14 * 5}{2}[/tex]
[tex]Dina= \frac{70}{2}[/tex]
[tex]Dina= 35[/tex]
Hence, Dina had 35 A's
Marco has a sandbox that is 3 feet long, 5 feet wide, and
foot deep. How many cubic feet of sand does he need to fill the
sandbox completely?
Answer:
Choice D
Step-by-step explanation:
[tex]3\dfrac{1}{2}\cdot 5 \cdot \dfrac{1}{2}= 3.5\cdot 5\cdot 0.5=8.75 = 8\dfrac{3}{4}[/tex]
Hope this helps!
Cubic feet would be volume.
Volume = length x width x height
Volume = 3 1/2 x 5 x 1/2 = 8 3/4 cubic feet.
Answer this problem 6/7×1/2 =
The value of the equation is A = 3/7
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be represented as p
The value of p = 6/7
Let the second number be represented as q
The value of q = 1/2
The value of A = p x q
Substituting the values in the equation , we get
A = ( 6/7 ) x ( 1/2 )
On simplifying the equation , we get
A = ( 6/14 )
Divide by 2 on numerator and denominator , we get
A = 3/7
Therefore , the value of A is 3/7
Hence , the equation is A = 3/7
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Use the interactive to graph a line with the given points: (–1,7) and (1,–1) The coordinates of the y-intercept of the line are.
Answer:
The y-intercept would be 6.25
Step-by-step explanation:
I found this by taking the two points and making it into a y = mx + b line.
Answer:
(0,3)
Step-by-step explanation:
We can use the slope-intercept form to find the y-intercept.
First, we need to find the slope of the line.
We are given the points (-1,7) and (1,-1).
[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]
The slope is -4.
Slope-intercept is [tex]y=mx+b[/tex].
We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.
I will use (-1,7):
[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]
The line's equation is [tex]y=-4x+3[/tex].
Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).
Formulate the recursive formula for the following geometric sequence. {-16, 4, -1,...}
Answer:
Step-by-step explanation:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
[tex]a_{n}=a_{n-1}*r\\a_{n}=a_{n-1}*\frac{-1}{4}\\\\a_{n}=\frac{-1}{4}a_{n-1}[/tex]
Answer:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
Step-by-step explanation:
question 132 .. .. .. .. ..
Answer:
∠LOM is 48°
Step-by-step explanation:
∠MOL+∠MON=180°
6x°+12°+7x°-92°=180°
13x°-80°=180°
Add 80° to both sides
13x°=260°
Divide both sides by 13
x°=20°
Plugging x° into the equation for ∠LOM, we get:
7×20°-92°=
140°-92°=
48°
∠LOM is 48°
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
5/6 and 6/7
Step-by-step explanation:
In the top of the fraction its going up by one each time (1,2,3,4 so the 5 and 6 would be the top half of the fraction), and in the bottom half its also going up by one but it started at 2 so its one more than the top half (2,3,4,5, so the 6 and 7 would be the bottom half of the fraction)
Answer:
next two terms=
[tex] \frac{5}{6} ,\frac{6}{7} [/tex]
solution,
here,
Top numbers are increasing by 1
Bottom numbers are also increasing by 1.
[tex] \frac{1}{2} , \frac{2}{3} ,\frac{3}{4} , \frac{4}{5} , \frac{4 + 1 }{5 + 1} = \frac{5}{6} , \frac{5 + 1}{6 + 1} = \frac{6}{7} [/tex]
hope this helps...
Good luck on your assignment...
What is the least common multiple of x2 + 2x – 15 and 4x2 - 36?
a. (x - 3)
b. 4(x - 5)(x + 3)2 (x – 3)
c. 4(x +5)(x – 3)2 (x+3)
d. (x+3)
Step-by-step explanation:
[tex] {x}^{2} + 2x - 15 \\ = (x - 3)(x + 5)[/tex]
then:
[tex]4 {x}^{2} - 36 \\ = 4( {x}^{2} - 9) \\ = 4(x - 3)(x + 3)[/tex]
then pack them up!
[tex]4(x - 3)(x + 3)(x + 5)[/tex]
tho there is a problem in your question.
lcm means the least common multiple.
answers in options are just multiples.
though considering that you shall choose:
[tex]4(x + 5) {(x - 3)}^{2} (x + 3)[/tex]
Consider the functions:
f(x)=2/3
g(x)=2/3x-3+2
Which statement is true regarding the vertical and
horizontal translations from f(x) to g(x)?
The function flx) was translated left 3 units and up
2 units
The function f(x) was translated right 3 units and
down 2 units
O The function f(x) was translated left 3 units and
down 2 units
O The function f(x) was translated right 3 units and up
2 units
Answer:
The function f(x) was translated right 3 units and up 2 units
Step-by-step explanation:
k = 2, which is denoted as vertical movement
b = -3, which is denoted to horizontal movement
Answer:
D;The function f(x) was translated right 3 units and up 2 units
Step-by-step explanation:
Problem 1 Given: HJ=4x+9, JK=3x+3, and KH=33 Find: x, HJ, and JK x= Answer HJ= Answer JK= Answer
Answer:
Step-by-step explanation:
The
is calculated by putting the data in
order and selecting the middle value.
The
is the data value that occurs the
most in a set of data.
The
is the difference between the
maximum and minimum values of a data set.
The
is the sum of the data divided by
the number of data values.
The answer choices are mean, median, Mode, range.
Answer:
median, mode, range, mean
Step-by-step explanation
the median is found by putting the data in order and selecting the middle value
the mode is the value that occurs the most often
the range is the difference between the greatest and least value
and the mean is the sum of all the values divided by the number of values
Answer:
The ✔ median is calculated by putting the data in order and selecting the middle value.
The ✔ mode is the data value that occurs the most in a set of data.
The ✔ range is the difference between the maximum and minimum values of a data set.
The ✔ mean is the sum of the data divided by the number of data values.
Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.
The mean of the data is 4.4.
The median of the data is 4 .
The mode of the data is 2 .
The range of the data is 7 .
Step-by-step explanation:
Just took the test from E D G E N U I T Y....
hope this helps :P