Answer:
-3(9a + 4)
Step-by-step explanation:
Factor −3 out of −27a−12.... basically divide each term by -3
-3(9a + 4)... please check if by multiplying -3 you still get (-27a - 12)
What is the difference between the sum of the measures of the interior angles of a regular hexagon and the sum of the measures of the exterior angles of a regular pentagon
Answer:
180 degrees
Step-by-step explanation:
Write an absolute value inequality to represent each situation.
Two friends are hiking in Death Valley National Park. Their elevation ranges
from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie
Point. Let x represent their elevation in feet.
Answer:
║ x - 231 ║ ≤ 459
Step-by-step explanation:
Since we have 228 ft below sea level, this is x' = -228 ft. Also, we have 690 ft above sea level, this is x" = 690 ft.
Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.
To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.
So, ideal value = [690 + (-228)]/2 = 462/2 = 231.
We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 = [690 + 228)]/2 = 918/2 = 459.
Subtracting 231 from each value of the inequality we have
-228 - 231 ≤ x - 231 ≤ 690 - 231
-459 ≤ x - 231 ≤ 459
Since we have in magnitude the values on the left and right side of the inequality,
So ║ x - 231 ║ ≤ 459
Which equation is equivalent to 4 - 6(3 - 2x) = 3(x - 4)?
a. 15x= -2 b. 5x=-10 c. 9x=2 d. 15x=2
Answer:
9x=2
Step-by-step explanation:
4 - 6(3 - 2x) = 3(x -4)
4 - 18 + 12x = 3x - 12
12x - 14 = 3x - 12
12x - 3x = 14 - 12
9x = 2
hope you are happy with the answer ;)
On a number line ,4.1 would be located. choose all answers that make a true statement.
A. To the right of 4.5
B. between 5 and 6
C. to the left of 4.19
D. To the left of 4.4
Help me plz
Answer:
D
Step-by-step explanation:
77 is 56% of what number
Answer:
137.50
Step-by-step explanation:
please give branliest
Answer:
137.5 I think I might be wrong..
What is the binary number for 12
Step-by-step explanation:
[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]
The equation f equals 9/5 C + 32 relates temperature measured in degrees celsius C to degrees Fahrenheit f Determine whether there is a proportional relationship between C and F explain your reason
Given:
[tex]F=\dfrac{9}{5}C+32[/tex]
where, F is degree Fahrenheit and C is degree Celsius.
To find:
Whether there is a proportional relationship between C and F.
Solution:
We know that, proportional relations is defined as
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
So, the line of proportional relationship passes through (0,0) and the equation must be true for (0,0).
If there is a proportional relationship between C and F, then the equation must be true for (0,0).
Substituting F=0 and C=0 in the given equation, we get
[tex]0=\dfrac{9}{5}(0)+32[/tex]
[tex]0=0+32[/tex]
[tex]0=32[/tex]
This statement is false because [tex]0\neq 32[/tex].
It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.
Hence, there is not a proportional relationship between C and F.
does anyone know this?
Answer:
1.37×10^9 is in scientific notation
Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3
Answer:
Step-by-step explanation:
|A|= 5, 2, -3, -5
|Ax|= 14, 2, 3, -5,
|Ay|= 5, 14, -3, 3
The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.
In terms of determinants, it can be written as,
[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].
[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].
[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].
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Increase £120 by 25%
Evaluate 7 – (-1).
Answer:
8
Step-by-step explanation:
7-(-1)
My teacher said if it looks like this: -(- make it a plus!
so basically 7+1=8
Solve this problem.
Don't answer if you don't know. NO IMPROPER ANSWERS.
Answer: 9.
Step-by-step explanation: First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.
Answer: The answer is 9.
Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D
-(-2-n) simplify please
Answer:
2 - n
Step-by-step explanation:
Subtract a negative is the same thing as adding a positive, so -(-2 - n) is the same thing as 2 - nWhat we did there was cancel out the two minus signs, and formed a positive.I hope this helps!
LaShawn solved the equation below to the determine the solution. 3 x minus 8 = negative x + 4 (x minus 2) How many solutions does LaShawn’s equation have? zero one two infinitely many
Answer: D
D-infinitely many
Step-by-step explanation:
Took the Analyzing Solutions quiz on Edge 2020
Answer: D
D-infinitely many
Step-by-step explanation:
Edge 2020
What is the opposite of each number?
Drag the answer into the box to match each number.
Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa
Step-by-step explanation:
so 0.005 would be -0.005
Answer:
the opposite of 0.005 is -0.005
the opposite of 1/2 is -1/2
the opposite of 0 is 0
the opposite of -2 is 2
Step-by-step explanation:
If the x- intercept is 2 and the y- intercept is -5 and the slope is 1/3. Write in equation in slope intercept form and standard form.
Answer:
The equation in slope-intercept form is[tex]y=\frac{5}{2}x-5[/tex]
The equation in the standard form will be:[tex]\frac{5}{2}x-y=5[/tex]
Step-by-step explanation:
The x-intercept is obtained when we set the value y=0As the x-intercept is 2, therefore the point representing
the x-intercept will be: (2, 0)
The y-intercept is obtained when we set the value x=0As the y-intercept is -5, therefore the point representing
the y-intercept will be: (0, -5)
So we get the two points
(2, 0)
(0, -5)
Finding the slope between (2, 0) and (0, -5)
[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-5-0}{0-2}[/tex]
[tex]m=\frac{5}{2}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here m is the slope
substituting the values m = 5/2 and the point (2, 0)
[tex]y-0=\frac{5}{2}\left(x-2\right)[/tex]
so writing the equation in slope-intercept form
As we know that the slope-intercept form is
[tex]y=mx+b[/tex]
here
m = gradient or slop b = y-interceptso
[tex]y=\frac{5}{2}\left(x-2\right)[/tex]
[tex]y=\frac{5}{2}x-5[/tex]
Hence, the equation in slope-intercept form is
[tex]y=\frac{5}{2}x-5[/tex]
Writing the equation in the standard form form
As we know that the equation in the standard form is
[tex]Ax+By=C[/tex]
where x and y are variables and A, B and C are constants
As we already know the equation in slope-intercept form
[tex]y=\frac{5}{2}x-5[/tex]
so the equation in the standard form will be:
[tex]\frac{5}{2}x-y=5[/tex]
Andre and Elena knew that after 28 days they would have 2²⁸ coins, but they wanted to find out how many coins that actually is. Andre wrote: 2 28 = 56. Elena said, "No, exponents mean repeated multiplication. It should be 28 28, which works out to be 784." Do you agree with either of them? Explain your reasoning.
Answer:
I agree with none of them
Step-by-step explanation:
Given
[tex]Expression= 2^{28}[/tex]
[tex]Andre: 2 * 28 = 56[/tex]
[tex]Elena: 28 * 28 = 756[/tex]
Required
Who is correct?
[tex]Expression= 2^{28}[/tex]
When we apply law of indices to the above, it gives 2 multiplies by itself in 28 places
i.e.
[tex]Expression= 2^{28}[/tex]
[tex]Expression= 2*2*2*..........*2[/tex] ---- in 28 places
Andre's interpretation of the expression is incorrect as:
[tex]2^{28} \neq 56[/tex]
Also, Elena's expression is incorrect.
This is so, because
[tex]2^28 \neq 28*28[/tex]
Hence, both of them are incorrect and I agree with none of them
Mrs. Johnson earned $31,500.00 in salary this year. Her salary will increase by 10% next year. Mrs. Johnson is paid on a monthly basis. By how much will her monthly salary increase when she receives her raise?
Answer:
34650 dollars by next year
Step-by-step explanation:
Answer:
Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50
help immediate i will mark you brainliest
Answer:
What's the question?
D=
R=
Function?
Find the domain and range of each relation.
Answer:
Try to do it with mth way
Please help me with this question I will give brainliest.
When you are dealing with a problem like this how do you solve it to make sure that the exponent is positive?
14 to the -4 power times 14 to the 7 power. I know that we will keep the base because they are the same but do I add or subtract the exponents?
Answer:
All you need to remember is the rules
Step-by-step explanation:
Let us remember
a to the m power x a to the nth power is = a to the m+n power. (add the exponents)
And
a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So
14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power
a hemisphere has a volume of 381.7 inches .what is the radius of the hemisphere
Answer:cube root 381.7
Then half it too find the radius.
Step-by-step explanation:
Why does sin54°≈0.809≈cos36° in a right triangle?
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.
C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.
D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.
9514 1404 393
Answer:
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
Step-by-step explanation:
The answer explains itself.
The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
What similarity property, if any, can be used to show that the following two triangles are similar.
A.) SAS
B.) AA
C.) SSS
D.) Not enough information given
A license plate is made of three letters and three numbers. How many different license plates are possible? (Recall there are 26 letters in the alphabet and 10 single digit numbers 0-9).
Using the permutations formula, it is found that: 11,232,000 different license plates are possible
----------------------------------------------------
The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.
----------------------------------------------------
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
----------------------------------------------------
In this question:
3 letters from a set of 26.3 digits from a set of 10.Thus:
[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]
11,232,000 different license plates are possible
A similar problem is given at https://brainly.com/question/16812463
What is the formula for the area of this triangle?
Answer:
A = h b/2
Step-by-step explanation:
Answer:
J =6,L=5,K=3
Step-by-step explanation:
this is kinda hard to do bur I'll try to do it.
The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence
Answer:
255
Step-by-step explanation:
10n^2+5
where n=5
10×5²+5
10×25+5
250+5
255
The 5th term of Sequence is 255.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
10n² +5
Now for 5th term put n= 5 we get
10n² +5
= 10(5)² +5
= 10 x 25 + 5
= 250+ 5
= 255
hence, the 5th term is 255.
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Solving Multi-Step
1. List the steps in order) require
3(z + 5) = 12
I
a)
Answer:
z = -1
Step-by-step explanation:
3(z + 5) = 12
Step 1: Divide both sides by 3.
z + 5 = 4
Step 2: Subtract 5 from both sides.
z = -1
can you guys please help me with this and fast?
∛125?
Answer:
5
Step-by-step explanation:
125 breaks down into 5×5×5, which proves that it's 5.
Answer:
5 is the right answer
Step-by-step explanation:
please help , picture above!
Answer:
The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE
Step-by-step explanation:
AE is a continuous line with consistent slope.
AC is a segment of this line and is the hypotenuse of triangle ABC.
CE is also a segment of AE and is the hypotenuse of triangle CDE.
Hope this helps.