Answer:
40
Step-by-step explanation:
A quarter of 1600: 400
A tenth of 400:40
The value of 10th of a quarter of 1600 is 40.
What is a quarter of a number?A quarter of the number is 1/4 times of the number i.e. times of the number.
Quarter of x= (1/4)*x= 0.25 * x
Given in the question that we have to calculate 10th of a quarter of 1600.
Before that we have to first calculate a quarter of 1600 which is calculated by using the above formula
quarter of 1600= (1/4)*1600= 0.25* 1600= 400
Now we have to calculate 10th of a quarter of 1600 i.e. 10th of 400.
10th of 400= (1/10) * 400= 40
Therefore the value of 10th of a quarter of 1600 is 40.
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Please help me with the question
Answer:
C
Step-by-step explanation:
5a+ 18 < -27
Subtract 18 from each side
5a+18-18 < -27-18
5a < -45
Divide each side by 5
5a/5 < -45/5
a < -9
Open circle at 9, line doing to the left
What is the gradient of the blue line?
The gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.
What is the gradient of a line?The gradient of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It can be calculated with the following formula.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here, (x1,y1) and (x2,y2) are the coordinates of two points lies on the line.
In the given graph, the blue line passes through the point (3,0) and the form the point (-1,2). Thus, the gradient of the line is,
[tex]m=\dfrac{2-0}{-1-3}\\m=\dfrac{2}{-4}\\m=-\dfrac{1}{2}[/tex]
Thus, the gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.
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HELPPPPPPP PLEASEEE!!!
Answer: A. (-1,-10)
The x-coordinate of the vertex can be calculated using [tex]x=-\frac{b}{2a}[/tex].
According to the equation given a = 1, and b = 2.
[tex]x=-\frac{b}{2a} =-\frac{2}{2(1)}=-\frac{2}{2} =-1[/tex]
The y-coordinate of the vertex can be calculated by subbing in the x-value from the previous equation (x = -1) for x, and solving for y.
[tex]y=x^{2}+2x-9=(-1)^{2}+2(-1)-9=1-2-9=-10[/tex]
∴ the vertex is (-1,-10).
Solve the following equation using algebraic operations (4n-18=22)
Answer:
n=10
Step-by-step explanation:
22+18=40 40/4=10
Given
4n - 18 = 22
Add 18 to both sides:
(4n - 18) + 18 = 22 +18
4n = 40
Divide 4n to both sides
[tex]\frac{4n}{4}[/tex]=[tex]\frac{40}{4}[/tex]
n=10
Now if you have to you can substitute n into the original equation and see if they are equal to one another.
4n - 18 = 22
4(10) - 18 = 22
40 - 18 = 22
22 = 22
With this being done n = 10
can someone please help me understand ?
Answer:
A: 12cm
B: 90 degrees
C: 60 degrees
Step-by-step explanation:
A. Measure of GH is 1/4 of perimeter of 48 cm
48/4=12
a is 12cm
B. in a rhombus, diagonals are perpendicular,
FH and EG are perpendicular
So, angles EJF, GJF, GJH, and EJH are all right angles and equal 90 degrees
thus measure of angle EJF is 90 degrees
C.
First lets find the measure of EJF
Since all the inner angles of the triangle add up to 180 degrees,
we can make an equation:
60+90+x=180
150+x=180
x=30
angles EFJ and EHJ are congruent, since opposite angles in a rhombus are congruent,
Also, angles EHJ and GHJ are congruent since the diagonals in a rhomus are angle bisectors
Thus EHJ=30 and GHJ=30
30+30=60
EHG = 60
so answer is 60 degrees
4. Last year, an intramural touch football team at the local university had a decent
season. The total points scored by the team for each of the 20 games are listed
below.
24
49
28
50
34
51
36
52
36
52
40
62
41
67
43
68
43
73
48
79
Construct a histogram of the data
Answer:
The histogram is attached
Step-by-step explanation:
The histogram attached shows the points scored in each game, where total number of games are 20
Histogram is made by the following details:
X-Axis: Game No.
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20)
Y-Axis: Total points scored in that game.
(24,49,28,50,34,51,36,52,36,52,40,62,41,67,43,68,43,73,48,79)
Different colors are used for each much so that it is easy to differentiate among them.
Which property of addition is shown below?
If x = 1 + 2i and y = -1 -2i, then x + y = 0.
commutative property
identity property
associative property
inverse property
Answer:
Inverse Property
Step-by-step explanation:
This property is inverse property with respect to addition.
E.g.
If x=y and z= -y
Then,
x+z = 0
its basically d on edg :)
Plz help ASAP will give brainliest!!!
Answer:
20
Step-by-step explanation:
1.75 x 6 = 10.5
10.5 + 9.5 = 20
Answer:
20 is the answer im 100% sure ask me for a picture if u want my work shown
Step-by-step explanation:
solve the inequality 2/w+3>29/w
Answer:
w<0 or w>9
Step-by-step explanation:
2
w
+3>
29
w
3w+2
w
>
29
w
Let's find the critical points of the inequality.
3w+2
w
=
29
w
3w+2=29(Multiply both sides by w)
3w2+2w=29w(Multiply both sides by w)
3w2+2w−29w=29w−29w(Subtract 29w from both sides)
3w2−27w=0
3w(w−9)=0(Factor left side of equation)
3w=0 or w−9=0(Set factors equal to 0)
Answer:
Explanation:
2
w
+
3
>
29
w
First take LCM
2
+
3
w
>
29
w
Now you can remove the denominator(LCM) because it is on both sides.
So, we get
2 + 3w > 29
3w > 27
w>9
In this way, we get the answer.
Step-by-step explanation:
Is the function even, odd or neither?
f(x) = |x| + 1
Your answer:
Even
Odd
Neither
Answer: Even
Step-by-step explanation:
This graph has been translated up by one unit but is still symmetrical about the y axis.
A simple proof would be to check if f(x) = f(-x). If it does, then it is even.
To check for an odd function, check if f(-x) = -f(x). If it does, then it is even.
To check for neither, f(-x) will not equal -f(x)
Can someone please help me with this?
Answer:
3/4
Step-by-step explanation:
There are 12 marbles in the bag
9 marbles are not blue
P(not blue) = marbles that are not blue / total marbles
= 9/12 = 3/4
A deck of cards has 3 pink, 6 purple, and 4 green cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked
P(the first card is green and the second card is -purple)
With explanation
Answer:
2/13
Step-by-step explanation:
So firstly, know that there are 13 cards in the deck (3 + 6 + 4).
Therefore, the probability of drawing a green is 4/13.
After you draw the green card, there will be 12 cards left. Therefore, the probability of drawing a purple card next is 6/12.
To find compound probability, multiply the probabilities of the two separate events happening together:
4/13 * 6/12
= 2/13
Hope this helps! Please contact me if you have any questions :)
A city has 4 new houses for every 9 old houses. If there are 28 new houses in the city, how many old houses are there?
A. 61
B. 63
C. 67
D. 65
The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 185μ=185mu, equals, 185 seconds and standard deviation \sigma = 11σ=11sigma, equals, 11 seconds. A journalist wrote an article about the restaurants whose average drive-through wait times were in the top 25\%25%25, percent for that town. What is the minimum average wait time for restaurants that the journalist included in the article?
Using the normal distribution, it is found that the minimum average wait time is of 192 seconds.
------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 185 seconds, thus [tex]\mu = 185[/tex].Standard deviation of 11 seconds, thus [tex]\sigma = 11[/tex].The top 25% is at least the 100 - 25 = 75th percentile, which is X when Z has a p-value of 0.75, so X when Z = 0.675.[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 185}{11}[/tex]
[tex]X - 185 = 11(0.675)[/tex]
[tex]X = 192[/tex]
The minimum wait time is of 192 seconds.
A similar problem is given at https://brainly.com/question/7001627
8x−3=−19+6x
8
x
−
3
=
−
19
+
6
x
x=−8
x=8
x=11
x=−11
Answer:
Solve each equation for x. 1) x – 15 = 24 => x = 39 2) 18 = −6 + x => x = 24 3) 19 — X = 8 => x = 11 4) x – 22 = 24 => x = 46 5) 24 — X = 17 => x = 7 6) 16 — X = 3 ...
Step-by-step explanation:
Part of the graph of the function f(x) = (x - 1)(x + 7) is
shown below.
Which statements about the function are true? Select
three options.
The vertex of the function is at (-4,-15).
6
The vertex of the function is at (-3,-16).
4
The graph is increasing on the interval x > -3.
2
The graph is positive only on the intervals where x <-7
and where
X > 1.
+
-8
-6
-4
-2
2
х
2.
The graph is negative on the interval x < -4.
4
-6
Mark this and return
Save and Exit
Next
Submit
Answer:
Step-by-step explanation:
The given function is
[tex]f(x)=(x-1)(x+7)[/tex]
Zeroes of the function are
[tex](x-1)(x+7)=0[/tex]
[tex]x=-7,1[/tex]
It means, f(x) intersect x-axis at x=-7 and x=1.
Mid value of -7 and 1 is the x-coordinate of the vertex.
[tex]\dfrac{-7+1}{2}=-3[/tex]
At x=-3,
[tex]f(-3)=(-3-1)(-3+7)=(-4)(4)=-16[/tex]
So, the vertex of the function is at (-3,-16).
The given function can be written as
[tex]f(x)=x^2+7x-x-7[/tex]
[tex]f(x)=x^2+6x-7[/tex]
Here leading coefficient is negative, it means it is an upward parabola.
So, we conclude that
1. The graph is increasing on the interval x > -3.
2. The graph is decreasing on the interval x < -3.
3. The graph is positive only on the intervals where x <-7 and where x > 1.
4. The graph is negative only on the intervals where -7 < x < 1.
Therefore, the correct options are 2, 3 and 4.
Answer:
THE CORRECT ANSWERS ARE 2,3,4!
Step-by-step explanation:
TOOK THE TEST ON EDGE
.In a group of 40 people, 15 people are wearing
sneakers and rest are not. Of the 10 people
who are wearing blue shirts, 5 of them are also
wearing sneakers. What portion of all the people
are not wearing sneaker and not wearing a blue
shirt?
Answer:
It should be 5:10 or 5 people not wearing sneakers and 10 not wearing a blue shirt
Step-by-step explanation:
Well it quite simple 1st you have the total which is 40
next you look at the rest, 15 people wearing sneakers plus the 5 waering sneakers and blue shirt. now you have 15.
next you have 10 people wearing but shirts. if you add the numbers you have now you get this: 15+10=25.
Now that you have 25 you can just add numbers to get 25(in that case 10 and 5). whats how you get 5:10
hope this helps (barry_ary)
Answer:
10
Step-by-step explanation:
15+10= 25
25+5=30
40-30=10
10 people are not wearing sneakers and
blue shirts
Prove that for any natural n the number 3^(n+4)−3n is divisible by 16.
Answer:
Step-by-step explanation:
Prove that for any natural number 3^(n+4)-3n is divisible by 16.
(I'm going to assume that you mean 3^(n+4)-3^n.)
1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).
2. Solve to get 3^n * 81 - 3^n
3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)
You may notice that 80 is divisible by 16.
4. Rewrite what we got from the last step as: 3^n*5(16).
Hope this helped you!
The proof that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16 is; it was simplified to 3ⁿ × 5
What is the proof that the number is divisible?
We want to show that show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is; (3ⁿ⁺⁴ - 3ⁿ)/16
From laws of indices, we know that;
aᵐ⁺ⁿ = aᵐ × aⁿ.
Thus; 3ⁿ⁺⁴ can be expressed as 3ⁿ × 3⁴.
Thus; (3ⁿ⁺⁴ - 3ⁿ)/16 is;
((3ⁿ × 3⁴) - 3ⁿ) = 3ⁿ((81 - 1)/16)
3ⁿ(80/16) = 3ⁿ × 5
The expression has been fully simplified to show that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16.
Read more about proof of numbers at; https://brainly.com/question/10657323
An empty swimming pool is going to be filled with water. The swimming pool is a cuboid, that is 25 metres long, 10 metres wide and 2 metres deep. It is being filled at a rate of 800 litres per minute Given 1m3 = 1000 Litres, how long it will take to fill the swimming pool? Give your answer in hours and minutes.
Answer: 10 hours and 25 minutes.
Step-by-step explanation:
Multiply 25, 10, and 2 to find volume. Volume is 500 metres.
1 meter = 1000 litres. 500 * 1000 = 500,000 litres in volume.
500,000/ 800= 625 minutes.
625 minutes = 10 hours and 25 minutes
It take 10 hours and 25 minutes to fill the swimming pool.
The volume of a cuboid is given by the formula:
Volume = Length × Width × Depth
= 25 m × 10 m × 2 m
= 500 m³
Now, convert the rate of filling from liters per minute to cubic meters per minute:
1 m³ = 1000 liters
So, 800 liters per minute = 800/1000
= 0.8 m³ per minute
Next, the time it will take to fill the pool:
Time (in minutes) = Volume / Rate of filling
= 500 m³ / 0.8 m³ per minute
= 625 minutes
Now, 1 hour = 60 minutes
625 minutes = 625 / 60
= 10 hours and 25 minutes
So, it take 10 hours and 25 minutes to fill the swimming pool.
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Find the perimeter and area of the rectangle given below. A rectangle ABCD with vertices A(2,4), B(2,7), C(5,7), and D(5,4).
Answers:
Perimeter=6 units
Area=0 units ^2
please see the attached picture for full solution
hope it helps
Good luck on your assignment
What is the product?
(5 r + 2)(3 r minus 4)
15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8
________________________________
Hey!!
Solution,
(5r+2)(3r-4)
= 5r(3r-4)+2(3r-4)
= 15r^2-20r+6r-8
= 15r^2-14r-8
So the right answer is 15 r squared minus 14 r minus 8
Hope it helps
Good luck on your assignment
_________________________________
Answer:
15 r squared minus 14 r minus 8
Step-by-step explanation:
from my understanding that what I think it is :) have an awesome day!!!!!!
What is the sum o[tex]\sqrt{-} 2 and \sqrt{} -18[/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{-2}=\sqrt{2}i\\\\\sqrt{-18}=\sqrt{2*3*3}i=3\sqrt{2}i\\\\\sqrt{-2}+\sqrt{-18}= \sqrt{2}i+3\sqrt{2}i\\ =(1+3)\sqrt{2}i\\\\=4\sqrt{2}i[/tex]
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2X
h(g(x))) =
[X²+
X+
Answer:
- 8x² - 40x - 50
Step-by-step explanation:
Begin by evaluating the inside, that is g(f(x))
Substitute x = f(x) into g(x), that is
g(f(x))
= g(2x + 5)
= (2x + 5)² ← expand using FOIL
= 4x² + 20x + 25
Now substitute x = 4x² + 20x + 25 into h(x)
h(4x² + 20x + 25)
= - 2(4x² + 20x + 25) ← distribute parenthesis by - 2
= - 8x² - 40x - 50
Thus
h(g(f(x))) = - 8x² - 40x - 50
AB and BC are perpendicular lines find the value of x.
If you know the other please help i, will mark as branliest
Answer:
X=42
Step-by-step explanation:
AB and BC make a right angle
So, 24°+x+24° =90°
48°+x=90°
X=90°-48°
X=42
______________________________
Answers:a. 42 degree.
b.i. q=135 degree( being vertically opposite angles)
j=135 degree( being corresponding angles)
b.ii. 225
Step by step explanation:a. 24+X+24=90[ sum of complementary angles]
or, 48+X=90
or,X= 90-48
X=42 degree
b.i. q=135 degree( being vertically opposite angles)
Vertically angles are always equal to each other.
j=135 degree( being corresponding angles)
Corresponding angles are always equal to each other.
b.ii. p+135=180[ sum of angle in straight line]
or,p= 180-135
p=45 degree.
q= 135 degree[ being vertically opposite angles]
r=p[being vertically opposite angles]
r=45 degree
Now,
p+q+r
= 45+135+45
=225 degree
Hope it helps
Good luck on your assignment
__________________________________
Q= 3t^2 - 5th Make h the subject of the formula
Answer:
3t² - Q / 5t
Step-by-step explanation:
Q = 3t² - 5th collect like terms (separate 5th from the rest of the equation)
5th = 3t² - Q (divide both sides by 5t)
h = 3t² - Q / 5t
If this helped please mark me as brainliest
what is the value of x?
Answer:
x = 3 will be the answer.
Step-by-step explanation:
From right triangle ABC,
By applying Sine rule,
Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]
[tex]\frac{1}{\sqrt{2}}[/tex] = [tex]\frac{BC}{6\sqrt{2}}[/tex]
BC = 6 units
Now from right triangle BCD,
By applying Cosine rule,
Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]
[tex]\frac{1}{2}=\frac{x}{6}[/tex]
x = [tex]\frac{6}{2}[/tex]
x = 3
Find the value of x in the given figure using properties of parallel lines. answers: A) 35° B) 15° C) 75° D) 105°
Answer:
x = 75
Step-by-step explanation:
X and 105 are supplementary angles so they add to 180
x+105 = 180
Subtract 105 from each side
x = 180-105
x= 75
I don’t understand this question & I need to turn this in today.
Answer:
see below
Step-by-step explanation:
The blue graphs had 2 real solutions since it crosses the x axis twice
The yellow graph has no real solutions since it does no cross the x axis
The red graph has one solutions since it touches the x axis
Calcula la hipotenusa de un triángulo rectángulo, cuyos catetos miden 24 dm y 20 dm, respectivamente.
Answer:
31.2 dm
Step-by-step explanation:
Podemos calcular a hipotenusa do triángulo empregando a regra de Pitágoras:
[tex]h^2 = a^2 + b^2[/tex]
onde h = hipotenusa
a = unha perna do triángulo
b = outra perna do triángulo
Polo tanto:
[tex]h^2 = 20^2 + 24^2\\\\h^2 = 400 + 576\\\\h^2 = 976\\\\h = \sqrt{976}\\ \\h = 31.2 dm[/tex]
A hipotenusa é de 31,2 dm
3. What is the solution to the equation 3x = 15? Express the
solution as a logarithm, make an estimate, and then evaluate.
Round to the nearest thousandth.
Answer:
x=2.4650
Step-by-step explanation:
I assume that you mean [tex]3^x=15[/tex]
so let s use the ln() function
[tex]ln(3^x)= xln(3)=ln(15)[/tex]
so x = ln(15)/ln(3)
x = 2.4650
