Answer:
Step-by-step explanation:
That would be 8 x 3. It would help because 24/8 = 3.
Heidi rolls two 6-sided number cubes. What is the probability that she rolls a
sum equal to 7? Use the diagram of the sample space to help you.
Answer:
The probability is A 6/36
Step-by-step explanation:
Two 6 sided dice = 12
0.2(k + 2.4) = 3.2k. Please help me.
Answer:
k = 0.16
Step-by-step explanation:
First, use distributive property on the left side:
[tex]0.2(k+2.4)=3.2k\\0.2k+0.48=3.2k\\0.48 = 3k\\k = 0.16[/tex]
Answer:
k = 0.16
Step-by-step explanation:
Use distributive property, meaning individually multiply 0.2 to each number/variable within the parameters
0.2 × k = 0.2k
0.2 × 2.4 = 0.48
0.2k + 0.48 = 3.2k
You cannot add a number and a variable so instead we should isolate the variable
Subtract 0.2k from both sides
0.48 = 3.2k - 0.2k
0.48 = 3.0k
0.48 = 3k
Divide both sides by 3
0.16 = k
Use the discriminant to determine all values of k which would result in the graph of
the equation y = -2x2 + kx – 18 being tangent to the x-axis.
Answer:
k = ±12
Step-by-step explanation:
Equation of the graph is,
y = -2x² + kx - 18
Discriminant of a quadratic equation, y = ax² + bx + c is defined by
Discriminant = √(b²- 4ac)
If √(b²- 4ac) = 0,
Equation will have one real solution.
Discriminant of the the given equation = √[k² - 4(-2)(-18)]
Since, graph of the equation is tangent to the x-axis, there will be one real solution.
Therefore, √[k² - 4(-2)(-18)] = 0
k² - 144 = 0
k = ±√144
k = ±12
solve 1.9(2x + 1) = 22x + 13
the answer is: x= -111/182
Answer:
x= -0.60989010989
Step-by-step explanation:
The compound interest on a sum of money in
2 years and 4 years are Rs 5,460 and Rs 12,066.60
respectively. Find the difference between principal
and compound interest of 3 years.
Answer:
The difference between the principal and the compound interest in three years is Rs 17,994
Step-by-step explanation:
The compound interest is given according to the following formula;
[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]
The given amount of the compound after 2 years = Rs 5,460
The given amount of the compound after 4 years = Rs 12,066.60
Therefore, we have;
[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)
[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)
Dividing equation (2) by (1), we have;
[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]
[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]
[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]
∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)
∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)
12,066.60/5,460 = x + 1
x = 12,066.60/5,460 - 1 = 1.21 = 121/100
x = 121/100
[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]
[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]
We get
[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]
[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]
[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]
[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]
[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]
r = 100 × 0.1 = 10%
r = 10%
Therefore, we have;
[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]
[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]
[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]
The principal = Rs. 26,000
The compound interest in 3 years is therefore;
[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]
The difference, 'd', between the principal and the compound interest in three years, is given as follows;
d = P - CI₃
d = 26,600 - 8606 = 17994
The difference between the principal and the compound interest in three years, d = Rs 17,994.
The triangles are similar, solve for the question
mark.
Answer:
8
Step-by-step explanation:
I think it's the only reasonable one to choose that's my explanation
The Length of side AE= 18
Given :
A triangle ABE with the measure of sides .
Explanation :
Find out the measure of AE using similar triangles
From the given figure, Triangle ABE is similar to triangle CDE
When the triangles are similar then the sides are proportional
[tex]\frac{AB}{CD} =\frac{AE}{CE}[/tex]
We know that AB=15, CD=10, CE= 12
Substitute all the values and find out AE
[tex]\frac{AB}{CD} =\frac{AE}{CE}\\\frac{15}{10} =\frac{AE}{12}\\Cross \; multiply \\15(12)= AE(10)\\Divide \; both \; sides \; by \; 10\\\frac{15(12)}{10} =AE\\18=AE\\AE=18[/tex]
Learn more : brainly.com/question/21570782
5.12 = 5w, what is W
Answer:
The answer is 1.024
Step-by-step explanation:
5.12 divided by 5 = 1.024
Hope this helps.
A centipede weighs 10-3 grams. A centipede is carnivorous and can increase weight daily. If it
increased 103 times its body weight each day, how many grams of food can the centipede eat
each day?
Answer: it’s one gram
Step-by-step explanation:
I just answered it
HELP!!!!!! WILL GIVE BRAINLY!
3. Find the volume of a hexagonal pyramid with a base area of 25 square inches and a height of 9 inches.
Answer:
225 square inches
Step-by-step explanation:
you always multiply when you need to find volume
so you start with the base area multiply it by the height
Base area is 25 square inches
Height is 9in
make it to an equation
25 x 9 = 225 square inches
Write two integers that are closest to the number in the middle to complete the statement.
4 and 5
finally that is closest to the number in the middle to complete the statement
On Tuesday in Washington D.C. the temperature at 8am was -8 degrees. At 1pm, it was 27 degrees. By how many degrees did the temperature change from morning to evening?
Answer:
35 degrees
Step-by-step explanation:
In a tennis tournament, 25% of Sarah’s serves were aces. Design a simulation to predict how many aces you expect Sarah to serve out of 50 serves
Answer:
about 13 aces
Step-by-step explanation:
.25 x 50= 12.5
25% is equal to .25, you are trying to find 25% of 50. Of means multiple,
so how you get the equation .25 x 50, you can't have half a serve so you round up to 13 aces
) La Organización Mundial de la Salud dispuso que el consumo máximo de
azúcar por día debería ser de 0.025 kg. Si una persona ingiere 2 botellas
desechables de refresco de cola de 600 ml al día, y se sabe que cada una
contiene 0.05 kg de azúcar, ¿cuántas veces rebasa el consumo
recomendado?
A pair of boots normally sales for $89.00,it is on sale for $50 what’s the sale percent?
Answer:
Your answer
43.8 %
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
The graph shows depth of water in a tank over time.
Calculate the rate at which the depth is decreasing.
Give your answer as a decimal.
PLEASE HELP ASAP!!!
what is the product of -2x^3 +x -5 and x^3 -3x-4?
a) Show your work
b) is the product of -2x^3 +x -5 and x^3 -3x-4 equal to the product of x^3 -3x-4 and -2x^3 +x -5? Explain your answer.
Answer:
For part 1:
-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20
For part 2:
Based on the foiling of both, they are equal.
Step-by-step explanation:
(-2x^3 +x -5)( x^3 -3x-4)
What we need to do is foil one by one.
I’ve attached a picture of this.
Once you foil, you add like terms.
Now for part 2, x^3 -3x-4 and -2x^3 +x -5, we do the same process.
bg=3 Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.
Answer:
B
Step-by-step explanation:
The equation for B would be as; B = 3/G
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.
Remember that Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
WE have the given equation as
BG = 3
To solve for the B, we have to eliminate the G from its side;
Then;
B = 3/G
Therefore , the equation for B would be as; B = 3/G
Learn more about solving equations here:
https://brainly.com/question/18015090
#SPJ2
Complete the equation of the line whose slope is 5 and y- intercept is (0,4)
y?
Answer:
y = 5x + 4
Step-by-step explanation:
y - 4 = 5(x - 0)
That is point-slope form. I'm not sure if you want it in slope intercept form, but slope intercept form of the equation is y = 5x + 4
Answer:
y=5x+4
Step-by-step explanation:
y=mx+b
What is the area of the trapezoid below? 7in 4 in 5 in 12 in
Answer:
1680 inches
Step-by-step explanation:
All you have to do is to multiply the numbers together.
7 × 4 = 28 in
5 × 12 = 60 in
60 × 28 = 1680
Therefor, the answer is 1680.
Convert each angle measure to decimal degrees. If applicable, round to the nearest thousandth of a degree.
35° 30′
-60° 12′
Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second.
39.25°
126.76°
-18.515°
31.4296°
Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle.
-40°
-361°
539°
850°
Give two positive and two negative angles that are coterminal with the given quadrantal angle.
90°
Write an expression that generates all angles coterminal with each angle. Let n represent any integer.
30°
90°
Concept Check: Sketch each angle in standard position. Draw an arrow representing
the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable.
75°
174°
300°
61°
90°
Answer:
its 61
Step-by-step explanation:
The radius of a circle is 2 inches. What is the circle's area?
r=2 in
Use 3.14 for a
square inches
Answer:
12.56 in.
Step-by-step explanation:
A=Pi*R to the 2nd power
A=3.14*2 to the 2nd power
A=3.14*4
A=12.56
Let me know if im wrong
Area of the circle is 12.56 square units which has radius 2 inches.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that radius of a circle is 2 inches.
We need to find the area of circle.
Radius= 2 inches.
π=3.14
We know that area of circle=πr²
Area of circle=3.142×2²
=3.142×4
=12.56 square inches.
Hence, area of the circle is 12.56 square units which has radius 2 inches.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
24x^2 + 26x - 104 solve for x
Answer: 24x2+26x−104 or -104
Step-by-step explanation:
Help plsssssssssssssss???
Answer:
output
-4
-2
0
Step-by-step explanation:
at x = -4 , y= -4
x = 1, y = -2
x = 2, y = 0
Each Parking Spot is 8 feet Wide A parking lot has 24 parking spots side by side What is the width measured in yards of the parking spots
Step-by-step explanation:
.................................
zbjsnabdhksjsjsjjsjsnnsjjsjsj
Answer:
45 square centimeters
Step-by-step explanation:
to find the area of the rectangel multiply its height, which is 5 by its length which is 9.
9 x 5 = 45
Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.
z > -3
z < 5
z < 4
z Less-than-or-equal-to 4
z > 0
Z>-3
Z<5
Z< or = 4
These 3 above have the 3 numbers in the solution set!
You just have to test each number in each inequality, and when all 3 of them work, the inequality is a part of the solution set!
Also Thanks for the 50 Points!
The inequalities are z ≤ 4 and z < 5 that have -0.5, 2.5, and 4 as part of the solution set.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
If the inequality have -0.5, 2.5, and 4 as part of the solution set.
That means, the required value has to be less than or equal to 4.
So, the inequalities are z ≤ 4 and z < 5.
Therefore, the inequalities are z ≤ 4 and z < 5.
To learn more about the inequality;
brainly.com/question/28823603
#SPJ6
E
С
70
A
D
B
What is mZDEA?
OA) 20°
OB) 70°
OC) 90°
OD) 180°
HELP MEEEEEE PICKING BRAINLIEST!!!
Answer:
2 kg cashews
6 kg pecans
Step-by-step explanation:
System of Equations:
c + p = 8
8c + 7p = 8(7.25)
let c = 8-p
8(8-p) + 7p = 58
64 - 8p + 7p = 58
-p = -6
p = 6
I need help?!?!
I think it’s 9 ??!!
Answer:
C. 14
iedujdd
Step-by-step explanation:
i think i searched
Answer:
9
Step-by-step explanation:
Triangle DCE and ACD are similar (they share the angle at A, and since DE║CB, ∠D=∠C and ∠E=∠B (corresponding angles))
That means the side lengths are in ratio:
12/(8+12)=?/(6+?)
0.6(6+?)=?
3.6+0.6?=?
0.4?=3.6
?=9
Which expression is equivalent to 1 1/2 plus 1 6/7 I NEED HELP HURRY
Answer: is this correct
Step-by-step explanation: