Answer:
15. 14
16. 44
17. 11
18. -56
Step-by-step explanation:
15 . 4 * 7 = 28 divide by 2 = 14
16. 2^3 = 8 * 3 = 24 +5 * 4 = 20 , 20 + 24 = 44
17. 5 + 4 = 9 + 2 =11
18. 6 * 2 = 12 and -34 * 2 = -68 - 12 = 56
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PLZZZ HELPPPPP
Which set of sides will NOT make a triangle?
11 cm, 13 cm, 3 cm
2cm, 3cm, 4cm
12 cm, 7 cm, 5 cm
19 cm, 14 cm, 7 cm
Step-by-step explanation:
let 3 sides be a b c
a-b<c<a+b (always)
we have 7+5 =12 (contradict the above property)
-> 12,7,5 will not make a triangle
Choose the function whose graph is given below.
Y = csc x
Y= tan x
Y= sec x
Y = cot x
The given graph shown in the image is of function y = cotx. Option D is correct.
Given that,
To determine the function whose curve is plotted in the graph.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Here,
Since the given graph is of cots because only cotx tends to infinity whenever x tends nπ where n is an integer on the number line.
Thus, the given graph shown in the image is y = cotx. Option D is correct.
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factorise 15x- 10x^3
Answer:
5x (3-2x^2)
Step-by-step explanation:
so all you have to do is 15x-10x=5x right?, then all you have to do is 15/5=3. 10x/5x=2x. then subtract 1 from the exponents. then you get the answer. okay Im sure about the fist part and the divison but not the exponents, I did use a calculator to check it though.
The factorize equation is, [tex]\rm 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0[/tex].
The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].
Given that,
Equation; [tex]\rm 15x - 10x^3[/tex]
We have to determine,
Factorize the equation and factor of the equation.
According to the question,
To factorize the equation and determine the factor of the equation following all the steps given below.
Equation; [tex]\rm 15x - 10x^3[/tex]
Step1; Taking the term 5x common from the equation,[tex]\rm = 15x - 10x^3 = 0 \\\\= 5x (3-2x^2) = 0[/tex]
Step2; Simplify the equation,[tex]\rm = 5x (3-2x^2) = 0\\\\ = 5x (\sqrt{3} - \sqrt{2x}) (\sqrt{3}+\sqrt{2x}) = 0[/tex]
Step3; The roots of the equation are,[tex]\rm = 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0\\\\ The \ roots \ of \ the \ equation \ are;\\\\5x = 0, \ x = \dfrac{0}{5}, \ x =0\\\\\\[/tex]
[tex]\sqrt{3} - \sqrt{2x} = 0, \sqrt{2}x = \sqrt{3}, \ x = \dfrac{\sqrt{3} }{\sqrt{2} }\\\\ \sqrt{3} +\sqrt{2x} = 0, \sqrt{2}x = -\sqrt{3}, \ x =- \dfrac{\sqrt{3} }{\sqrt{2} }[/tex]
Hence, The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].
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What is P(Foreign Language | Sport)?
Answer:
23/33 x 10/33 = 21/100
Probability of A and B (independent events): p(A and B) = p(A) * p(B).
P(Foreign language | Sport) would mean P for probability
We use P in questions
and P in answer format.
We Know that F Union S F Union Sport = All in A + B and both = 47
The probability in both means you need to subtract the middle values as they are in both and repeated. It also becomes a special
Union. The union of two or more sets is the set that contains all the elements of each of the sets; an element is in the union if it belongs to at least one of the sets. The symbol for union is ∪ , and is associated with the word “or”, because A∪B A ∪ B is the set of all elements that are in A or B (or both.)
Which of the following is true about the bird population? Please!!!
Answer:
D
Step-by-step explanation:
if something is multiplied by 1.025 it is increasing by 2.5 percent
Answer:
D , 2.5%
Step-by-step explanation:
1.025 - x = 1; x = .025; as a percent = .025 * 100 = 2.5%.
How many pops of kernel come in a bag of popcorn?
Please choose one of the following answers below
70
120
200
100,000
Answer:
100,000
Step-by-step explanation:
I don't think they're give you 70 or 100,000 kernels so either 120 or 200. But if I had to choose one, it'd be 120 kernels.
Factor this expression.
4x-12
O A. 4(x-4)
OB. 4(x-6)
O C. 4(x-3)
O D. 4(x-8)
Answer:
C. 4(x-3)
Step-by-step explanation:
At Ken's boutique, 33 customers wore a size small, and 51 customers wore a different size.
What is the probability that a randomly selected customer wore a size small?
Write your answer as a fraction or whole number.
Answer:
11/28
Step-by-step explanation:
1. Add up all of the customers to get the sample size.
33 + 51 = 84
2. Since we are finding the chance of it being a size small, 33 will be out numerator.
3. Create the final fraction, (33/84)
4. Simplify (11/28)
Hope this helps! Comment if you have any questions. :)
Answer:
11/28
Step-by-step explanation:
First, you add 33 and 51 to get a total of 84 customers. Then you put the number of selections you want (33) as the numerator to 84, to get 33/84. Finally you simplify and get the probability of selecting a customer at random. Answer= 11/28 is your probability
Find the volume of this triangular prism
Answer:
4608 ft2
To find the volume of a prism, you have to multiply the area*base*height.
So in this case you have (8*8)*8*9.
That results in, 64*8*9.
You multiply them and get 4608 ft2.
Have a nice day!
Question 3 Please help. What is the measure of JLK⌢?
Answer:
Answer is option
Options are related to find the angle of JLK
Step-by-step explanation:
[tex]we \: know \: that \: the \: angle \\ \: in \: a \: circle \:i s \: 360 \: degrees. \\ angle \: of \: JLK = 360 - (given \: angle) \\ \: \: \: \: = 360 - 154 \\ \: \: \: \: = 206 \: degrees[/tex]
Here the given angle is 154 degrees.
Hence the answer is option b) 206 degrees .
HAVE A NICE DAY !
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
what is the area of this triangle?
Answer:
I believe the answer is 24
Answer:
The area of the triangle is 24 units2
Step-by-step explanation:
To find an area of a triangle you simply have to multiply a and b which are the legs of a triangle, in this case it would be 6 and 8, after doing that you divide the result by 2. So A= 6x8/2 ---> A=48/2 -----> A=24
Of all 25 marbles in a bag, 3 of the marbles are white. What is the probability that a white marble will be randomly selected from the bag without looking? Write your answer as a percent.
Step-by-step explanation:
Total marbles = 25
Probability of white marble = 3/ 25 = 0.12
Solve the inequality for X.
-3x - 3 <-63
es
A)
x > 20
B)
x > 22
9.
x < 20
D)
x < 22
------------------------------------------------
-3x - 3 <-63
Add 3 to both sides:
-3x-3+3 < -63+ 3
Simplify:
-3x < -60
Multiply both sides by -1:
(reverse the inequality)
(-3x)(-1) > (-60)(-1)
Simplify:
3x > 60
Divide both sides by 3:
3x/3 > 60/3
Simplify:'
x > 20
Your Answer Is x > 20
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I Point
Which of the following shows the polynomial below written in descending order?
4x^3 + 3x^7 - 9x + x^12
The polynomial in descending order would be:
x^12 + 3x^7 + 4x^3-9x.
It all has to do with their degrees (exponents).
I don't know what the answer choices are because you didn't post them, but that is the answer.
I hope this helps.
At the candy store the sell a 3 -pack of large chocolate bars for $6.45 and a 4 -pack of large chocolate bars for $8.20. Use Unit Rate to find out which pack is a single bar the cheapest.
Answer:
the cheapest is 8.20/4 bars
Step-by-step explanation:
we have to compare the price of one bar in both situations
1 bar= 6.45/3 compare with 1 bar=8.20/4
2.15 >2.05
the cheapest is 8.20/4 bars
Find the volume of the cone
Answer:
12π
Step-by-step explanation:
Volume of the cone is πr^2 * h / 3
r = 3
h = 4
9π * 4 / 3 = 12π
Answer: 37.6991118
Step-by-step explanation:
1. Show work and find the value of the circumference of the circle with a 12 cm radius.
Answer:
75.36
Step-by-step explanation:
3.14(pi) x 24(diameter) = 75.36(circumference)
Which best describes the scale factor for each dilation?
Answer: 1= between 0 and 1. 2= greater than 1. 3= equal to 1
Step-by-step explanation: I just did the warm up
Answer:
Dilation 1 has a scale factor
✔ between 0 and 1
.
Dilation 2 has a scale factor
✔ greater than 1
.
Dilation 3 has a scale factor
✔ equal to 1
.
Step-by-step explanation:
Jack ran 13.5 miles in 1.5 hours. What was his speed in miles per minute?
Answer:
9
Step-by-step explanation:
13.5 / 1.5 = 9
Answer:
[tex] \boxed{Speed = 0.15 \: miles \: per \: minute} [/tex]
Given:
Distance travelled = 13.5 miles
Time taken = 1.5 hours = 1.5 × 60 = 90 minutes
Step-by-step explanation:
[tex]Speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{13.5}{90} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.15 \: miles \: per \: minute[/tex]
Find m∠ABD and m∠CBD given m∠ABC = 111∘
The Equations are (-10x+58)∘ and (6x+41∘)
Write and Solve an equation
Answer:
x=-3
<ABD=88
<CBD=23
Step-by-step explanation:
We know that <ABC is made up of 2 angles: <ABD and <CBD.
We also know that the m<ABC is 111.
Therefore, <ABD and <CBD added together must equal 111.
<ABD+ <CBD =111
We know that <ABD is -10x+58 and <CBD is 6x+41, so we can substitute these in.
-10x+58+6x+41=111
Combine like terms
(-10x+6x)+(58+41)=111
-4x+99=111
Now we need to solve for x. First, move all the constants to the same side. Subtract 99 from both sides, since 99 is being added to -4x.
-4x+99-99=111-99
-4x=12
Next, divide both sides by -4, since -4 and x are being multiplied.
-4x/-4=12/-4
x=-3
Now we know x, and can substitute it in to find the angle measures.
<ABD
-10x+58
-10(-3)+58
30+58
88
<CBD
6x+41
6(-3)+41
-18+41
23
[tex]m \angle ABD = 88^{\circ}\\m \angle CBD = 23^{\circ}[/tex]
Given:
m∠ABC = 111∘
m∠ABD = (-10x+58)∘
m∠CBD = (6x+41)∘
First, find the value of x by creating an equation
Thus:
[tex]m\angle ABD + m \angle CBD = m \angle ABC[/tex] (angle addition postulate)
Substitute
[tex](-10x+58) + (6x+41) = 111[/tex]
Solve for x
[tex]-10x+58 + 6x+41 = 111[/tex]]
Add like terms
[tex]-10x+58 + 6x+41 = 111\\-4x + 99 = 111\\-4x = 111 - 99\\-4x = 12\\[/tex]
Divide both sides by -4
[tex]x = -3[/tex]
Find m∠ABD and m∠CBD by plugging in the value of x
[tex]m\angle ABD = -10x + 58 \\m\angle ABD = -10(-3) + 58 \\m\angle ABD = 88^{\circ}[/tex]
[tex]m \angle CBD = 6x + 41\\m \angle CBD = 6(-3) + 41\\m \angle CBD = 23^{\circ}\\[/tex]
Therefore:
[tex]m \angle ABD = 88^{\circ}\\m \angle CBD = 23^{\circ}[/tex]
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Find the value of the variable. If the answer is not a whole number, round to the nearest tenth.
The image is of a circle with two secant segments which intersect outside the circle. Inside and outside length of first one are marked as x and 5 respectively. Inside and outside length of second one are marked as 10 and 4 respectively.
A. 9
B. 8
C. 6.2
D. 22.5
Answer:
C
Step-by-step explanation:
Two secants drawn to a circle from a common external point, then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
5(5 + x) = 4(4 + 10) = 4 × 14 = 56
25 + 5x = 56 ( subtract 25 from both sides )
5x = 31 ( divide both sides by 5 )
x = 6.2 → C
3~ Please help. What is m∠BED?
Enter your answer as a number, like this: 42
Answer:
34
Step-by-step explanation:
There is the same opposite arch for both angles so they should be equal.
Hope this is helpful!
If you have a cube with a side length of ¼, how many cubes can fit into your rectangular prism? Explain.
Answer:
Step-by-step explanation:
No of cubes that can fit into rectangular prism = Volume of rectangular prism
Volume of cube
Find the volume of rectangular prism and divide that by the volume of cube
Lee watches tv for 4 hours per day. During that time , the tv consumes 200 watts per hour. electricity costs (15 cents)/( 1 kilowatt-hour). How much does lee’s tv cost to operate for a month of 30 days?
Answer: $3.6
Step-by-step explanation:
Hi, to answer this question, first we have to calculate watt hours per day:
200 wph x 4 hours = 800 watt hours
Now, we have to convert the watt-hours to kilowatt hours:
800 wh /1000 =0.8 kwh
Since he watches TV 30 days per month:
0.8 kw x 30 days = 24 kwh
Finally we have to multiply that result by the price per kilowatt hour (15 cents)
24 kwh x 15 cents = 360 cents
Converting to dollars:
360/ 100 = $3.6
Lee’s TV cost 3.6 dollars to operate for a month of 30 days
Two number cubes each have sides that are labeled 1 to 6. Jude rolls the 2 number cubes. What is the probability that the sum of the numbers on
cubes will equal 4?
Answer: 3
This is the answer if you think its wrong i don't know its correct i got it right
1. Use substitution to create a one-variable linear equation: -3= 4x - 5.
2. Solve to determine the value of the unknown variable.
3. Write the solution to the system of equations as an ordered pair.
The solution to the system is (
-3).
Intro
3 of 15
Answer:
x = 1/2
Step-by-step explanation:
-3= 4x - 5 becomes 5 - 3 = 4x when 5 is added to both sides. Then:
2 = 4x, and x = 2/4, or x = 1/2.
The solution of the linear equation -3= 4x - 5 is x = 1/2.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
An equation: -3 = 4x - 5.
Simplifying,
by using substitution,
4x - 2 = 0
This is a one variable linear equation. Where x is a variable.
In order to solve the equation:
Simplifying,
4x = 2
x = 1/2
Therefore, the solution of the equation is 1/2.
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can you plz help me i really appreciate it
In a right triangle, sin (40 – x)° = cos (3x).What is the value of x?
Answer:
Value of x = 25
Step-by-Step Explanation:
~ Knowing that, in a right triangle ~
sin(40-x)=cos(3x) ⇒
sin(40-x)=sin(90-3x) ⇒
40 - x = 90 - 3x ⇒
40 - x +3x=90 - 3x +3x =>
40+2x=90 =>
2x=50 =>
x = 25
Now it is proven to be that,
x = 25
If you take out a loan that costs $561 60 over eight years at an interest rate of 9% how much was the loan for?
Answer:
The loan was $28184.81
Step-by-step explanation:
Let the loan amount be x
Rate of interest on Loan = 9%
Time = 8 years
Amount of loan over 8 years = $56160
Formula : [tex]A=P(1+r)^t[/tex]
Where A = Amount =56160
P = Principal = x
r = rate of interest = 9% = 0.09
t = time = 8 years
Substitute the values in the formula :
So,[tex]56160=x(1+0.09)^8[/tex]
[tex]\frac{56160}{(1+0.09)^8}=x[/tex]
$28184.81=x
Hence The loan was $28184.81
Order the steps to solve the equation
log(x2 - 15) = log(2x) form 1 to 5.
x² - 2x - 15=0
Potential solutions are -3 and 5
IIIII
x² - 15 = 2x
x - 5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0
Answer:
Attention for the conditions:
[tex]x^{2} -15>0\\2x>0\\so\\x>0[/tex]
Step-by-step explanation:
we have
[tex]log(x^{2}-15)= log(2x)\\\\x^{2} -15 = 2x\\\\x^{2} -5x+ 3x-15=0\\ (x^{2}-5x)+(3x-15)=0\\ x(x-5)+3(x-5)=0\\(x-5)(x+3)=0\\x-5=0, x=5 \\\\x+3=0, x= -3[/tex]
So the solutions are 5 because x>0