Answer:
x = -3 , - 15
Step-by-step explanation:
Given:
x² + 18x + 45 = 0
Solve:
[tex]x_{1,\:2}=\frac{-18\pm \sqrt{18^2-4\cdot \:1\cdot \:45}}{2\cdot \:1}[/tex]
Simplify
[tex]-18\pm \sqrt{18^2-4\cdot \:1\cdot \:45=12[/tex]
[tex]x_{1,\:2}=\frac{-18\pm \:12}{2\cdot \:1}[/tex]
Separate the solution
[tex]x_1=\frac{-18+12}{2\cdot \:1},\:x_2=\frac{-18-12}{2\cdot \:1}[/tex]
[tex]x_1=\frac{-18+12}{2\cdot \:1}=-3[/tex]
[tex]x_2=\frac{-18-12}{2\cdot \:1}=-15[/tex]
Thus, the answer are:
[tex]x=-3,\:x=-15[/tex]
Kavinsky
a man bought a car which cost 400,000 Naira at a discount of 10% how much did he pay
Answer: It would be 10% of 400,000 which is 40,000.
400,000- 40,000 is 360,000. That is your answer. 360,000
Step-by-step explanation:
Solve equation using SQAURE ROOTS, show work. Round to the nearest hundredth if needed
Answer:
x=8, x=4
Step-by-step explanation:
Add 4 to both sides
[tex](x-6)^2=4[/tex]
Square root
[tex](x-6)= \sqrt{4}[/tex]
x - 6 = ±2
x = 8
OR x = 4
So, x=8 or x=4
Make n the subject of the formula y=m^2 - 4n^2
Answer:
Make n the subject of the formula y =m² -4n² .
Step-by-step explanation:
it's the same i hope it can help.
Help, with math! due soon!
Answer:
a) (4, 5)
b) (3, -1)
c) (4, 4)
d) (-3, 2)
e) (3, 1)
f) (7, 8)
Step-by-step explanation:
I hope this helped. If it did mark brainliest pls :)
The sum of two complex numbers is −3 + 5i. If one of the complex numbers is 1−8i, which answer choice below is the other number?
Answer:
C
Solution
For a complex number written in the form a + bi, a is called the real part of the complex number and b is called the imaginary part. The sum of two complex numbers, a + bi and c + di, is found by adding real parts and imaginary parts, respectively, that is, (a + bi) + (c + di) = (a + c) + (b + d)i. Therefore, the sum of 2 + 3i and 4 + 8i is (2 + 4) + (3 + 8)i = 6 + 11i.
Choice A is incorrect and is the result of disregarding i and adding all parts of the two complex numbers together, 2 + 3 + 4 + 8 = 17. Choice B is incorrect and is the result of adding all parts of the two complex numbers together and multiplying the sum by i. Choice D is incorrect and is the result of multiplying the real parts and imaginary parts of the two complex numbers, (2)(4) = 8 and (3)(8) = 24, instead of adding those parts together.
Lara surveyed all of the 11th grade students at her school about the number of languages they speak and whether or not they have allergies. Here are her results:
Answer:
57.6% have allergies
42.4% have no allergies
Step-by-step explanation:
We only need to consider the students who speak two languages according to the question.
To find the percent with allergies, divide the number of students with allergies by the total number of students (that speak two languages).
19/33 = 0.5757 = 57.6%
To find the percent without allergies, divide the number of students without allergies by the total number of students (that speak two languages).
14/33 = 0.4242 = 42.4%
Check your work by adding the percentages to make sure they equal 100%
57.6 + 42.4 = 100
Item 5 A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E is spun. What is the probability of rolling a number less than 4 and spinning a D? 115 110 215 710
Answer 1/10
Step-by-step explanation:
I took the quiz.
The probability of rolling a number less than 4 and spinning a D is 1/10 or 0.10. The correct answer is option B.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Since there are 6 sections on the number cube, the probability of rolling a number less than 4 is 3/6 or 1/2.
The spinner has 5 equal sections labeled A through E, so the probability of spinning a D is 1/5.
To find the probability of both events happening, we multiply the probabilities of each event:
(1/2) x (1/5) = 1/10
Therefore, the probability of rolling a number less than 4 and spinning a D is 1/10 or 0.10.
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The circle graph shows the rooms in a house and their percentages of the house's total area.
Rooms in a House
Bathrooms
5%
Living Room
20%
Bedrooms
30%
Kitchen
15%
Family
Room
30%
The area of the kitchen is 300 square feet. How many square feet is the entire house? Record your answer in the box.
Answer:
2,000 square feet
Explanation:
If the kitchen is 300 square feet, we can divide that by the percentage(15%). We get the answer 20, which will be our conversion factor!
Now, we multiply this conversion factor by all the other percentages(without decimals)
5 x 20 = 100
20 x 20 = 400
30 x 20 = 600
15 x 20 = 300
30 x 20 = 600
Now we add up all of these factors and get the answer :D
100 + 400 + 600 + 300 + 600 = 2,000 square feet
juices in ounces
can someone and hurry and answer this??
Answer:
3 2/5
Step-by-step explanation:
The amounts of ounces all together is 17/5 ounces and 17/5 is equal to 3 2/5 therefore the answer is 3 2/5 since it is split as evenly as possible.
need help asap !!!!!
Answer:
The answer is in Step.
Step-by-step explanation:
Very simple.
B(4,8)
Scalar Factor of 2: 2*B(4,8) -> B'(8,16)Scalar Factor of 1/2: 1/2*B(4,8) -> B'(2,4)Scalar Factor of 2: 4*B(4,8) -> B'(16,32)Scalar Factor of 2: 1/4*B(4,8) -> B'(1,2)what is 15 divided by 2590 I will give you 55 you will get it
The requried division of 15 by 2590 gives the decimal value of approximately 172.6667.
To calculate the division of 15 by 2590, we perform the following steps:
When we divide 15 by 2590, we can express it as 15 ÷ 2590.
Dividing 15 by 2590 yields a decimal value of approximately 172.6667. This means that 15 is approximately 172.67 times the value of 2590.
In simpler terms, if you divide 15 by 2590, the quotient or result is 172.6667 (rounded to four decimal places).
Therefore, the division of 15 by 2590 is approximately 172.6667.
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Thom needs 3/4 yard of brown fabric, 2/4 yard of blue fabric, and 3/4 yard of green fabric to make some costumes for a play.
Answer:
Step-by-step explanation:
Hey there!
I think that some of the content in your question is missing so I will be solving for how much yards of fabric is needed in total
Since all of the fractions have common denominators, we can comfortably add them together
3/4+3/4+2/4 is 8/4
8/4 can be simplied to 2
So the total amount of yards of fabric Thom needs in total is 2 yards
help please
simplify (5x-3)^2
Answer:
[tex]\Longrightarrow: \boxed{\sf{25x^2-30x+9}}[/tex]
Step-by-step explanation:
Isolate the term of x from one side of the equation.
Use the perfect square formula.
[tex]\underline{\text{PERFECT SQUARE FORMULA:}}[/tex]
[tex]\Longrightarrow: \sf{(A-B)^2=A^2-2AB+B^2}[/tex]
(5x-3)²
(5x-3)²= (5x)²-2*5x*3+3²
Solve.
[tex]\sf{(5x)^2-2*5x*3+3^2=\boxed{\sf{25x^2-30x+9}}}[/tex]
Therefore, the final answer is 25x²-30x+9.Answer:
25x² - 30x + 9Step-by-step explanation:
The identity
(a - b)² = a² - 2ab + b²In this case, a = 5x and b = 3, so substituting the values :
(5x - 3)²(5x)² - 2(5x)(3) + (3)²25x² - 30x + 9The height of an object after it is released can be modeled by the function f (x) = negative 16 t squared v t s, where t is the number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet. if a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, how much time does his teammate have to catch the ball?
The amount of time his teammate have to catch the ball is equal to 1.774 seconds.
Given the following function:
f(x) = -16t² + vt + s.Displacement, s = 6ft.Velocity, v = 25 ft/s.How to calculate the amount of time?In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:
f(t) = -16t² + 25t + 6.
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c =0
Where:
a = -16.
b = 25.
c = 6.
Solving the function by using the quadratic formula, we have:
t = [-b ± √(b² - 4ac)]/2a
t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)
t = [25/32 ± (-1/32)√1009]
t = 25/32 ± (-0.993)
t = 0.781 ± 0.993
t = 0.781 + 0.993
Time, t = 1.774 seconds.
Note: We ignored the negative value because time cannot be negative.
Read more on quadratic equation here: brainly.com/question/1214333
Answer:
B
Step-by-step explanation:
The verified dude saisd so
If x= m + 2, find the value of m from the 3m-4/2 - 4x-3/6 equation = 3.
Answer:
Step-by-step explanation:
3m-4/2-4 (m+2 )-3/6=3
3m-4/2-4m-8-3/6=3
-m-3/2-8=3
-m-11=3
-m=3+11
-m=14
m=-14
which inequality shows the relationship between the plotted points on the number line -5>-2?
PLEASE HELP ME NB IS ASWERING MY QT SO HELP ASAPP!!
Answer:
Step-by-step explanation:
Find the total surface area
To find the surface area of a right cone:
⇒ must know the formula = [tex]\pi rs+\pi r^2[/tex]
s: slant heightr: length of radius of the ciruclar base(look at the diagram I attached for a better explanation)
Let's look at the information given:
r: radius length: 6fts: slant height: 10Let's solve:
[tex]Surface-Area=\pi *6*10+\pi* 6^2=60\pi +36\pi =96\pi = 301.592ft^2[/tex]
Thus the surface area of the shape given is 301.59 square feet
Answer: 301.59 square feet
Hope that helps!
formula for area of triangle
Answer:
[tex]area \: of \: triangle \: = \frac{1}{2} b \times h[/tex]
The area of a triangle formula is A = 1/2 × b × h, where b is base and h is height.
What is the area of a triangle?The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here,
The area of a triangle formula is 1/2× b × h, where b=base and h=height.
Example: Find the area of a triangle with base 12 units and height 3 units.
Now, area of a triangle = 1/2× 12 × 3
= 6 × 3
= 18 square units
Therefore, area of a triangle formula is A = 1/2 × b × h.
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"Your question is incomplete, probably the complete question/missing part is:"
What is formula for area of a triangle?
Find the value of x that makes m congruent to n
Answer:
x=10
Step-by-step explanation:
13x=130
because they are parallel we know that line m and n are equal angles
since 13x° and 130° aee both obtuse angles they are equal
so set them equal 13x=130
and solve for x
divide both sides by 13
(13x)/13 = 130/13
leaving us with x=10
Pls help I don’t understand
Answer:
667 tiles
Step-by-step explanation:
To find the number of pavers, divide the total area of the patio by the area of each paver.
[tex]\text{Number of paver= $\dfrac{1800}{2.7}$}[/tex]
[tex]= \dfrac{1800*10}{2.7*10}\\\\=\dfrac{18000}{27}\\\\= 667[/tex]
If the area of a triangle is 16 units. And the base is 4, what is x?
Answer:
the area of triangle formula is A = B*H / 2 so it means 16 square = (x+4) x /2 so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6 so x = -2 -6 = -8 or x= -2 +6 = 4 x must be positive so x = 4
Step-by-step explanation:
i really hoped this helped you.
HELP AND EXPLAIN
At a family reunion, family members are given a choice of swimming at the lake or going on a hike. The family
constructed the following frequency table to analyze the data.
Lake
Hike
Total
Children
6
Adults
9
Total
14
38
15
What does the relative frequency of represent in the situation?
X
Out of all the children, 15 prefer the lake.
Out of all the children, 15 prefer a hike.
Out of all the family members that prefer a Mike, 15 are children.
Out of all the family members that prefer the lake, 15 are children.
The relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.
How to find the relative frequency?Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency). (subgroup being group defined by a row, or a column)
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]
List them in title of the rows and left to the columns. There will be [tex]n \times k[/tex] table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of [tex]X_i[/tex] and [tex]Y_j[/tex] (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
The given two-way frequency table is:
Lake Hike Total
Children 6
Adults 9
Total 14 38
Total of hike subgroup is 14, out of which children are 6, so adults going for hiking must be 14 - 6 = 8 as adults and children going for hiking together are 14 in counts.
So, we get:
n(Hike ∩ Children) = 8
Thus, the total of subgroup Adults is 9+8=17 = n(Adults)
Total of vertical total columns is: n(Children) + n(Adults) = 38
or, we get: n(Children) = 38 - 17= 21
Since total of children subgroup is:
n(Lake ∩ Children) + n(Hike ∩ Children) = n(Children)
Thus, we get:
n(Lake ∩ Children) + 6 = 21
n(Lake ∩ Children) = 21-6 = 15
Thus, sum of the 'lake' subgroup is:
n(Lake) = n( Lake ∩ Children) + n(Lake ∩ Adults)
n(Lake) = 15 + 9 = 24
Thus, the completed two-way table is:
Lake Hike Total
Children 15 6 21
Adults 9 8 17
Total 24 14 38
Now, we've to find what does 15/24 represents.
The division is done by 24, which is the total of "lake" subgroup.
And in that lake subgroup, we have:
n(Lake ∩ Children) = 15
Thus, 15/24 is the relative frequency of those children who prefer the lake, relative to total number of people who prefer lake.
Thus, the relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.
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Solve the quadratic formula 3x^2+x-5=0
Answer:
x=(1+sqrt(61))/6=1.468
Step-by-step explanation:
OMG PLS HELP ME I GOT ONLY 1 MIN TO ANSWER!!!! JUST 3 QUESTIONS, 100 POINTS
1.Chris takes a math test where each correct answer scores 3 points, but each incorrect answer takes away 3 points. If there are 10 questions on the test, and Chris misses all of them, which equation would be used to calculate Chris' test score?
3 × (-10)
-3 x 10
3 x 10
2.Two numbers are multiplied and the product is negative. If one number is negative, what is true of the other number?
It is 0.
It is positive.
It could be positive or negative.
3. Which expression means to add -6, 9 times?
9 × (-6)
-9 × 6
-6 × 9
-6 × (-9)
Answer:
-3 x 10.
It is positive.
9 × (-6).
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
1. -3x10
2.it is positive
3.-6 times 9
What was the farthest Nicole rode in a day?
The furthest she rode would be the highest number the orange line covers which is 20.
Answer: 20 miles
Answer: the answer is 20 Miles .
Step-by-step explanation: as in the diagram the fathest and highest thing was 20 so 20 Miles .
if 2x+4 = (x²)²÷2 then what is x?
Answer:
Below.
Step-by-step explanation:
2x+4 = (x²)²÷2
2x + 4 = x^4/2
x^4 = 4x + 8
x^4 - 4x - 8 = 0
We can try trial an error to solve this
Looks like x = 2 fits it:
2^4 - 4(2) - 8
= 16 -8 -8 = 0
so x = 2 is one solution.
I can't find any other solution among other integers.
To find the other solutions you can draw a graph manually or by using software.
There will be either 1 or 3 more real solutions.
I used software to draw the graph and found one other solution:
x = -1.296
You buy a car for $48,000. For each year, t, the value, V, of the car decreases by 14%.
Write a model to represent this scenario?
Answer:48.014
Step-by-step explanation:you got to say 48,000 plus 0.014 and you hit the equal button and see what u get and i hit the equal button and i got this answer 48.014 is my answer for this question
Find the length of the unknown side
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Answer:
c=?=13
Step-by-step explanation:
Using the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex] where a=5 and b=5, and solving for c=?
[tex]5^2+12^2=c^2[/tex]
[tex]25+144=c^2[/tex]
[tex]169=c^2[/tex]
[tex]c=\sqrt{169}[/tex]
c=13
Help soon
There are 6 white socks, 3 blue socks, and 1 black sock in a basket. One sock is randomly picked and replaced. Then another sock is picked.
What is the probability of getting a blue sock then a black sock?
3/100
1/30
4/90
1/5
Answer:
the answer is 3/100
Step-by-step explanation:
the probability=
pr(blue)*pr(black)
=3/10*1/10
=3/100
hope this helps
please give brainest
how many triangles can you make with side lengths of 17, 23, 13
Answer:
10 triangles
Step-by-step explanation:
Let’s consider three scenarios: an equilateral triangle, isosceles and scalene.
1. There are three possibilities for equilateral triangle: 13, 13, 13 17,17,17 23, 23, 23
2. There are 6 possibilities for a isosceles triangle:
There are three choices for the base and for the remaining two sides there are two choice, so 3 x 2 = 6
3. There is only one possibility for a scalene triangle:
Let’s use the triangle theorems to check:
Let the sides be 23,17 and 13. Since every other scalene triangle will have the same sides the SSS (Side-Side-Side) theorem states that any triangle with the same three sides is the same triangle (congruent).
Therefore when adding the three scenarios we will get 3 + 6 + 1 = 10 triangles that can be made.