Answer:
8
Step-by-step explanation:
Substitute the equation and values into the average rate of change formula.
If C is the hypotenuse of the right triangle ABC with sides A, B, C, and A=12, B=5, then C= ?
Answer:
13
Step-by-step explanation:
To solve for any missing side of a triangle, simply use the Pythagorean Theorem.
[tex]a^2 + b^2 = c^2[/tex]
[tex]c^2=12^2+5^2\\c^2 = 144 +25\\\sqrt{c^2} = \sqrt{169} \\\text{The square root of 169 is 13}[/tex]
The length of the hypotenuse (C) in a right triangle given sides A=12 and B=5 can be calculated using the Pythagorean theorem. Substituting these values leads to a calculation of √169, resulting in C being 13.
Explanation:The subject at hand pertains to the Pythagorean Theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (side C) is equal to the sum of the squares of the lengths of the other two sides (A and B). Hence, the formula is a² + b² = c².
Given that A=12 and B=5, we substitute these values into the Pythagorean theorem. Therefore, the calculation is C = √(12² + 5²). This simplifies to C = √(144 + 25), which further simplifies to C = √169. Thus, the length of the hypotenuse C is 13.
Learn more about Pythagorean Theorem here:https://brainly.com/question/19649203
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Factors and Multiples,
56
66
Determine wherther the secound number is a factor of the first number,
72, 3 46, 4 132. 7 216, 9
Answer:
No
Step-by-step explanation:
So, you have 56 and 66. The others are 72, 346, 4132.7216, and 9. 66 can not go into 72 more than once, so therefore the answer is no.
evaluate j/k -0.2k when j =25 and k = 5
Answer:
4
Step-by-step explanation:
To evaluate a function with certain defined values, we must substitute the values in the equation, perform the indicated operations and in this way we obtain the final value.
If j = 25 and k=5
replacing in the equation
[tex]\frac{j}{k} -0.2k = \frac{25}{5} -0.2(5) = 5 -1 = 4[/tex]
rearranging familiar formulas the area A of rectangle is 25 in in formula for area is A=lw if the width w is 10 inches what is the lengh l
Answer:
2.5 in
Step-by-step explanation:
A = lw Divide each side by w
l = A/w
A = 25 in²; w = 10 in
l = 25/10
l= 2.5 in
Simplify: -2/3 (-3 – 9x)
Answer:
find below
Step-by-step explanation:
-2/3 (-3 – 9x) = 2+6x
2+6x
Find -3/7 ÷ -1 1/4 please
Answer:
Step-by-step explanation:
(-3/7)*(-4/11)
12/77
Answer:
=-12/7 or -1.71429....
Step-by-step explanation:
Point( -2 -1) and is perpendicular to the graph of y equals negative 2/3 x + 6. line n is parallel to line M and passes through point (4,-3). which is the equation of line and in slope intercept form
Answer:
I don't know I don't know I don't know I don't know
Explicit formula for the sequence 7,2,-3,-8
Answer:
Step-by-step explanation:
The common difference of the sequence is -5
Since the difference is -5
a_n= 7+(n-1)(-5)
a_n = 7-5n+5
a_n = 12-5n
f(1)=2 and f(n) = f(n-1) - 5; n-1
which of the following lists the terms in the sequence defined by this recursive function
a-2,3,8,13,18......
b-2,7,12,17,22.....
c-2,-3,-8,-13,-18.....
d-2,-7,-12,-17,-22....
Answer:
Option c is correct.
The sequence is, 2, -3 , -8 , -13, -18, .....
Step-by-step explanation:
Given the following as;
f(1) = 2
The recursive function is;[tex]f(n) = f(n-1) -5[/tex] ......[1]
to find the sequence defined by the recursive function;
Put n=2 in [1];
[tex]f(2) = f(2-1) -5[/tex]
[tex]f(2) = f(1) -5[/tex]
Substitute the value of f(1) = 2 we have;
[tex]f(2) = 2-5 = -3[/tex]
Similarly, put n =3
[tex]f(3) = f(3-1) -5[/tex]
[tex]f(3) = f(2) -5[/tex]
Substitute the value of f(2) = -3 we have;
[tex]f(3) = -3-5 = -8[/tex]
for n = 4 we have;
[tex]f(4) = f(4-1) -5[/tex]
[tex]f(4) = f(3) -5[/tex]
Substitute the value of f(3) = -8 we have;
[tex]f(4) = -8-5 = -13[/tex] and so on .......
Therefore, we get the sequence defined by the recursive formula is,
2, -3 , -8 , -13, -18, .........
What is the sum of ¾ + ⅔ in simplist form
Answer:
The answer is 17/12
Step-by-step explanation:
3/4 + 2/3
= 9/12 + 8/12
= 9 + 8/12
= 17/12
We must find the common denominator.
The list of multiples of 4: 0, 4, 8, 12, 16, 20, ...
The list of multiples of 3: 0, 3, 6, 9, 12, 15, 18, ...
The common denominator is 12.
[tex]\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}[/tex]
Therefore:
[tex]\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}=\dfrac{9+8}{12}=\dfrac{17}{12}=\dfrac{12+5}{12}=1\dfrac{5}{12}[/tex]
Answer: 17/12 = 1 5/12y=-3x-5 and y=−10x-9 Round to the nearest hundredth.
A pair of parallel lines is cut by a transversal. One of the angles formed measures 58°. Which statements about the other seven angles formed are true? (multiple answers)
There are three more angles with the same measure.
All the other angles have the same measure.
The rest of the angles measure 122°.
Only three of the angles measure 122°.
Four of the angles measure 122°.
Answer:
Correct options are 1 and 5.
Step-by-step explanation:
If parallel lines m and n are cut by a transeversal t, then corresponding angles are equal in measure. Therefore,
∠2≅∠6;
∠1≅∠5;
∠3≅∠7;
∠4≅∠8.
If parallel lines m and n are cut by a transeversal t, then interior angles on the same side are supplementary. Thus,
∠3+∠5=180°;
∠4+∠6=180°.
If one of the angles ( let it be angle 3) formed measures 58°, then m∠5=180°-58°=122°. Then
m∠2=m∠3=m∠6=m∠7=58°;
m∠1=m∠4=m∠5=m∠8=122°.
You can conclude that there are three more angles with the same measure of 58° and four of the angles measure 122°.
As a financial consultant, the CFO of a major television company has shared the profit function P(x) = −x4 - 2x3 + 21x2 + 22x − 40 with you which models the profit of the company based on the number of commercials , x, they air in a 24-hour period. DESCRIBE the appearance of the graph to the CFO. Use complete sentences, and focus on the end behaviors of the graph and how to use the function P(x) to find where the company will break even (where P(x) = 0).
Answer:
The company will break even at x=1 and x=4.
Step-by-step explanation:
The given profit function is
[tex]P(x)=-x^4-2x^3+21x^2+22x-40[/tex]
Where, x is number of commercials.
Use synthetic division or long division to find the factors of the function.
[tex]P(x)=(x-1)(x^3+3x^2-18x-40)[/tex]
[tex]P(x)=(x-1)(x+2)(x^2+x-20)[/tex]
[tex]P(x) = -(x - 4) (x - 1) (x + 2) (x + 5)[/tex]
Equate P(x)=0, to find the break even points.
[tex]-(x - 4) (x - 1) (x + 2) (x + 5)=0[/tex]
Use zero product property and equate each factor equal to zero.
[tex]x=4,1,-2,-5[/tex]
Therefore the zeros of the function P(x) are 4, 1, -2 and -5. Since x is number of commercials, therefore the value of x must be positive. Therefore the company will break even at x=1 and x=4.
The higher degree of the function is even and the leading coefficient is negative. So,
[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow \infty[/tex]
[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty[/tex]
Since the value of x must be positive, therefore the left end point is y-intercept of the graph, i.e., (0,-40).
Therefore the company faces huge loss when the number of commercials increases unboundly.
The graph of the function is given below.
find the measure of angle B, note that angle B is acute
Answer:
B= 44.9506°
Step-by-step explanation:
WE apply sine angle formula
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
Given angle C = 51, c= 11 and b = 10
[tex]\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
Plug in the values
[tex]\frac{10}{sin(B)}=\frac{11}{sin(51)}[/tex]
Cross multiply it
10 * sin(51) = 11* sin(B)
7.771459615 = 11 sin(B)
Now divide by 11 on both sides
0.706496328 = sin(B)
Now [tex]B = sin^{-1} (0.706496328)[/tex]
B= 44.9506°
What is
1.567 + 2.345 - 1.83(5) A) -2,082 B) -5.238 C) 2.082 D) 5.742
Answer:
c) 2.082
Step-by-step explanation:
First you would add 1.567 and 2.345 together to get 3.912. If you take 3.912 and subtract 1.83 from that, it would be 2.082.
Hey there!
1.567 + 2.345 - 1.83 (5)
1.567 + 2.345 = 3.912
3.912 - 1.83(5)
1.83(5) = 9.15
3.912 - 9.15 = -5.238
Answer: -5.238 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Q. Mrs. Jackson purchased 8/9 lb of potatoes. She used 3/4 of the potatoes to prepare dinner. How much of the potatoes did Mrs. Jackson use?
Answer:
The answer is 5/36
Step-by-step explanation:
first, you are going to convert both of the fractions to have the same dinominator by multiplying by any of their factors.
32/36 - 27/36 = 536
Then you subtract the numerators and that's it
hope I helped :)
[tex]180 \div 460 = simplified \: fraction[/tex]
first you would put the expression in a fraction for
180/460
you already know that the both numbers are divisible by 2
so the answer would be 90/230 but we are still no done because these values are divisible by threethe rule to prove that the number is divisible by three is when you add the digits of the number for example 333. 3+3+3=9 and nine is divisible by nine
THE ANSWER IS:::::::: 90/230
Plz help on these problems.
Answer:
see below
Step-by-step explanation:
1) 4
2) 1 or -1
The famous math water fountain is just 5 miles away from the high school. How far is the fountain away from the school on the map?
Answer:
Step-by-step explanation:
What is the scale of the map? Just multiply the ratio (distance on map x actual distance) by 5.
As a clinical trials monitor, you recruit subjects for a new study. You want 175 subjects per group for 3 groups. How many subjects should you recruit for the whole study?
Maria and Andrew sold drinks from a lemonade stand in the summer. Because Maria built the stand they agreed that she should get twice as much of the profit as Andrew. If they made $187.41 profit how much money did Maria make?
Answer:
Maria made = $124.94
hope it helps
Step-by-step explanation:
if they made $187.41 and maria is getting twice a much as Andrew you'll divide 187.41 by 3 because maria is getting twice as more
187.41 ÷ 3 = 62.47
Andrew = 62.47
Maria = 62.47 x 2 = 124.94
to check your answer by adding 124.94 and 62.47 and should equal to the money made in total
124.94 + 62.47 = 187.41
Maria's profit from the lemonade stand business is calculated by dividing the total profit by 3 and then multiplying that amount by 2, as she is to receive twice as much as Andrew.
The question involves calculating Maria's share of the profit from their lemonade stand business. With a total profit of $187.41, and the agreement that Maria should receive twice as much as Andrew, we can set up an equation to solve the problem. Let's denote Maria's profit as M and Andrew's profit as A. The equation based on their agreement is M = 2A. Since the total profit is their profits added together, we have another equation: M + A = $187.41. Substituting the first equation into the second, we get: 2A + A = $187.41, which simplifies to 3A = $187.41. Dividing both sides by 3 to isolate A, A = $187.41 / 3. Calculating this gives us Andrew's profit, and multiplying A by 2 gives us Maria's profit.
write this polynomial in descending form 5x3 + 2x + 7x5
The polynomial 5x3 + 2x + 7x5 written in descending form is 7x5 + 5x3 + 2x, organized from the highest to the lowest power of x.
To write the polynomial 5x3 + 2x + 7x5 in descending form, arrange the terms in order from the highest power of x to the lowest. The given polynomial has the terms with powers of 5, 3, and 1. Organizing the polynomial in descending order of the exponents gives us:
7x5 + 5x3 + 2x.
As we can see, the term with the highest exponent, 7x5 (degree 5), comes first, followed by 5x3 (degree 3), and lastly the term with the lowest degree, 2x (degree 1).
please help will give brainlist
Answer:
It would be B, Both are linear because the slope is a normal number like 4&-5)
Step-by-step explanation:
They are both linear because they are straight lines.
Answer:
Equation A is nonlinear and Equation B is linear.
If its wrong please tell me and I'll see what i did wrong. Please and Thank you!
Hope this is helpful!
find the value of x and y in the triangles below
Answer:
x=9 y=24
Step-by-step explanation:
take the triangle with 43 Degrees and 90 degrees to get the answer for that missing angle.
which equals 133
subtract 133 from 180 and get 47
then set 5x+2 = 47 because opposite angles are equal to each other
-2 on both sides
5x=45
divide by 5
x=9
then take 3y+1=?
add 47 + 60 =107
180-107=73
3y+1=73
-1 both sides
72
divide by 3
y=24
Find the length of the arc intercepted by a central angle of 240 degrees in a circle of radius r equals 9 feet
Answer:
37.7 feet ( to 1 dec. place )
Step-by-step explanation:
arc length = circumference × fraction of circle
= 2π r × [tex]\frac{240}{360}[/tex]
= [tex]\frac{2\pi (9)(240)}{360}[/tex] ≈ 37.7 feet
Write an equation in the form y = mx + b for the line that has a slope of 2 and passes through the point shown in the graph.
Can some solve this
[tex]200 > 4.50 + 35[/tex]
[tex]\bf 200 > 4.50x+35\implies 165 > 4.50x\implies \cfrac{165}{4.50}>x\implies \cfrac{110}{3}>x[/tex]
which is about 36.67 > x.
Which expressions are equivalent to (4⋅a)⋅2 ?
Drag and drop the equivalent expressions into the box.
4⋅(a⋅2)
2⋅(4⋅a)
4⋅2⋅a⋅2
8a
4⋅2+a⋅2
Answer:
4⋅(a⋅2)
2⋅(4⋅a)
8a
Step-by-step explanation:
(4⋅a)⋅2
4⋅(a⋅2) This is the same by the associative property of multiplication
2⋅(4⋅a) This is the same by the associative property of multiplication and the communicative property of multiplication
4⋅2⋅a⋅2 This brings in an extra 2 so it is not the same.
8a 4*2 = 8 so this is the same
4⋅2+a⋅2 This is the not the same 8+2a is not the same as 8a
What’s the question mark
Answer:
? = 30
Step-by-step explanation:
If the triangles are similar, then the only way I see this working is the sides measuring 63 and 54 are corresponding. The sides measuring 56 and 48 are corresponding. That leaves the sides measuring 35 and ? corresponding.
Set up a proportion.
63/54 = 35/?
63? = 54 * 35
63? = 1890
? = 30
Find 49 divided by 7 please