[tex]\text{Find the slope}\\\\\text{Use the slope formula:}\\\\\frac{y2-y1}{x2-x1}\\\\\text{Plug in the coordinates and solve:}\\\\\frac{8-17}{8-18}\\\\\frac{-9}{-10}\\\\\text{Two negative cancel each other out to make a positive}\\\\\boxed{\frac{9}{10}\,\,or\,\,9/10}[/tex]
Answer:
f(x)= 9/10x
Step-by-step explanation:
17 -8 9
------- = ---
18-8 10
y= mx + b
That is the unit rate, but now we have to find (b) (where on the y axis the line goes through) and if you trace the line back you can clearly see that it goes through 0, which you do not need to write down, but you can if it gives you peace.
Formulate the recursive formula for the following geometric sequence. {-16, 4, -1,...}
Answer:
Step-by-step explanation:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
[tex]a_{n}=a_{n-1}*r\\a_{n}=a_{n-1}*\frac{-1}{4}\\\\a_{n}=\frac{-1}{4}a_{n-1}[/tex]
Answer:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
Step-by-step explanation:
Consider the functions:
f(x)=2/3
g(x)=2/3x-3+2
Which statement is true regarding the vertical and
horizontal translations from f(x) to g(x)?
The function flx) was translated left 3 units and up
2 units
The function f(x) was translated right 3 units and
down 2 units
O The function f(x) was translated left 3 units and
down 2 units
O The function f(x) was translated right 3 units and up
2 units
Answer:
The function f(x) was translated right 3 units and up 2 units
Step-by-step explanation:
k = 2, which is denoted as vertical movement
b = -3, which is denoted to horizontal movement
Answer:
D;The function f(x) was translated right 3 units and up 2 units
Step-by-step explanation:
In how many months were there more than two days with thunderstorms?
Answer:
5
Step-by-step explanation:
March,May,June,July,August
Determine the value of x in the figure. answers: A) x = 35 B) x = 70 C) x = 140 D) x = 40
Answer:
b)x=70
Step-by-step explanation:
x=70 (the reason is that the angles are base angles of isoscelles triangle)
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
-7, -10
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
8, 5, 2, -1, -4,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
8 - first term
5 - second term
8 ? ? = 5
8 - 3 = 5
So, this means they subtracted three to get the next term. Therefore, the pattern should be 'subtract three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
8, 5, 2, -1, -4,...
8 - 3 = 5
5 - 3 = 2
2 - 3 = -1
-1 - 3 = -4
So, since 'subtracting three' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next two terms.
-4 - 3 = -7
-7 - 3 = -10
Therefore, the next two terms in the sequence are -7, -10.
Pete, Chris, and Dina realized that the number of A’s they each received on their report cards were in a ratio of 4:2:5. If Pete got 14 more A’s than Chris, how many A’s did Dina get?
Answer:
[tex]Dina= 35[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 4:2:5[/tex]
Peter = 14 more A's than Chris
Required
How many A’s did Dina get?
The order of the ratio is Peter: Chris: Dina
This implies that
[tex]Peter: Chris: Dina = 4:2:5[/tex]
Considering Peter and Chris
[tex]Peter: Chris = 4:2[/tex]
Let the number of Chris' A's be represented by A
This implies that:
Peter's = 14 + A
And as such;
[tex]14 + A : A = 4 : 2[/tex]
Convert ratio to division
[tex]\frac{14 + A}{ A} = \frac{4}{ 2}[/tex]
Multiply both sides by A
[tex]A * \frac{14 + A}{ A} = \frac{4}{ 2}* A[/tex]
[tex]14 + A = \frac{4}{ 2}* A[/tex]
[tex]14 + A = 2* A[/tex]
[tex]14 + A = 2 A[/tex]
Subtract A from both sides
[tex]14 + A-A = 2 A-A[/tex]
[tex]14 = A[/tex]
This means that;
Chris answered 14 while Pete answered 28 (14 + 14)
Considering Chris and Dana
[tex]Chris :Dana = 2:5[/tex]
Replace Chris with 14
[tex]14:Dana = 2:5[/tex]
Convert ratio to division
[tex]\frac{14}{ Dina} = \frac{2}{5}[/tex]
Cross Multiplication
[tex]Dina * 2 = 14 * 5[/tex]
Divide both sides by 2
[tex]\frac{Dina * 2}{2} = \frac{14 * 5}{2}[/tex]
[tex]Dina= \frac{14 * 5}{2}[/tex]
[tex]Dina= \frac{70}{2}[/tex]
[tex]Dina= 35[/tex]
Hence, Dina had 35 A's
What is the least common multiple of x2 + 2x – 15 and 4x2 - 36?
a. (x - 3)
b. 4(x - 5)(x + 3)2 (x – 3)
c. 4(x +5)(x – 3)2 (x+3)
d. (x+3)
Step-by-step explanation:
[tex] {x}^{2} + 2x - 15 \\ = (x - 3)(x + 5)[/tex]
then:
[tex]4 {x}^{2} - 36 \\ = 4( {x}^{2} - 9) \\ = 4(x - 3)(x + 3)[/tex]
then pack them up!
[tex]4(x - 3)(x + 3)(x + 5)[/tex]
tho there is a problem in your question.
lcm means the least common multiple.
answers in options are just multiples.
though considering that you shall choose:
[tex]4(x + 5) {(x - 3)}^{2} (x + 3)[/tex]
Which of the following statements must be true about parallelogram ABCD? ANSWERS: A) AD ≅ BA B) ∠A+∠D = 180° C) AD || CD D) ∠B ≅ ∠C
Answer:
AD || BC
Step-by-step explanation:
Option B : ∠A+∠D = 180°
Given below diagram is of a parallelogram.
A parallelogram is defined as a closed geometric figure that has got 4 straight sides and opposite sides are parallel to each other.
One of the properties of a parallelogram is that its adjacent angles are supplementary.
Adjacent angles means angles which are either on the just left side or just right side.,
Supplementary angles are those which if added gives 180° as value.
Option A and D are not correct here.
Option C is wrong as adjacent sides of a parallelogram are never parallel.
Taking the angles ∠A and ∠D, we see they're adjacent. And since ABCD is a parallelogram, thus by its property, we've got ∠A+∠D = 180°.
Thus option B: ∠A+∠D = 180° is correct.
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Karin wants to use the distributive property to mentally find the value of 19⋅42+19⋅58. Which expression can she use?
Answer:
[tex]19( 42+ 58)[/tex]
Step-by-step explanation:
[tex]19 \cdot 42+19 \cdot 58\\[/tex]
The common factor is 19
[tex]19( 42+ 58)[/tex]
Answer:
A
Step-by-step explanation:
dont know how explain.
What is the exponential regression equation that fits these data?
y
-4
0.25
-3
0.5
-2
0.9
-1
1.9
0
3
1
7
2
18
3
30
4
68
O A. y = 2.01 3.08%
O B. y=1.91x2 +
+ 6.65x + 1.68
O C. y = 3.80.2.01%
0 D. y = 2.75-3.06
Answer:
O C. y = 3.80.2.01%
Step-by-step explanation:
ur welcome
The exponential regression equation that fits these data is y= 2.26 (3.0[tex]2)^x[/tex].
As, in an exponential function is one in which an independent variable, x, is increased to the power of a constant.
As a result, when plotting these data points, we see that an exponential curve provides the best fit, and the following equation provides the best fit is
y= 2.26 (3.0[tex]2)^x[/tex]
Thus, the requires exponential regression equation is y= 2.26 (3.0[tex]2)^x[/tex].
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Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Select five options.
+ 8r2s4 – 3r3s3
[tex]\frac{5s^{7} }{6}[/tex]
s5
3r4s5
–r4s6
–6rs5
[tex]\frac{4r}{5^{6} }[/tex]
Answer:
[tex](A)\dfrac{5s^7}{6}\\(B)s^5\\(E)-6rs^5 \\(F)\dfrac{4r}{5^6}[/tex]
Step-by-step explanation:
A polynomial is said to be in standard form when it is written in descending order of the given variable.
From the given polynomial
[tex]+ 8r^2s^4 - 3r^3s^3[/tex]
s is written in descending powerr is written in ascending orderTherefore, a first term of the polynomial must satisfy the following:
Power of r must be less than 2Power of s must be greater than 4.The following satisfies these conditions:
[tex](A)\dfrac{5s^7}{6}\\(B)s^5\\(E)-6rs^5 \\(F)\dfrac{4r}{5^6}[/tex]
Write the following word phrase as an algebraic expression:
y less than the product of 3 and z.
Answer:
3z-y
Step-by-step explanation:
y less than the product of 3 and z
= y less than 3 into z
= y less than 3z
= 3z - y
Answer:
3z-y
Step-by-step explanation:
y less than the product of 3 and z
= y less than 3 into z
= y less than 3z
= 3z - y
A 160 ft. long wire has a resistance of 16.2. What would the resistance of 8 ft. of wire be?
Answer:
Resistance of 8 feet wire = 0.81 Ω
Step-by-step explanation:
Equation representing the relation between the resistance and length of a cylindrical shaped wire is,
R = ρ.[tex]\frac{l}{A}[/tex]
Here R = Resistance of the cylindrical wire
ρ = Resistivity of the material
l = Length of the wire
A = Cross sectional area of the wire.
If length of the wire = 160 ft
Resistance = 16.2 Ω
By substituting these values in the formula,
16.2 = ρ.[tex]\frac{160}{A}[/tex]
ρ = [tex]\frac{16.2\times A}{160}[/tex]
Similarly, if length of the same wire = 8 ft
From the given formula,
R = ρ.[tex]\frac{8}{A}[/tex]
R = [tex]\frac{16.2\times A}{160}\times \frac{8}{A}[/tex]
= 0.81 Ω
Therefore, resistance of 8 feet wire will be 0.82 Ω.
The triangle is an equilateral triangle
One side is A
The radius is A/2
What is the area of the center triangle?
Answer:
[tex]Orange\ area = A^2(\sqrt{3}/4 - \pi/8) = 0.0403A^2[/tex]
Step-by-step explanation:
First let's find the area of the triangle, using the formula:
[tex]Area\_triangle = side^2\sqrt{3}/4[/tex]
[tex]Area\_triangle = A^2\sqrt{3}/4[/tex]
Now, let's find the area of each circular sector of 60° (internal angle of a equilateral triangle):
[tex]Area\_sector = \pi*radius^2*60/360[/tex]
[tex]Area\_sector = \pi*(A/2)^2/6[/tex]
[tex]Area\_sector = \pi*A^2/24[/tex]
Now, To calculate the orange area in the center, we have:
[tex]Orange\ area = Area\_triangle - 3*Area\_sector[/tex]
[tex]Orange\ area = A^2\sqrt{3}/4 - \pi*A^2/8[/tex]
[tex]Orange\ area = A^2(\sqrt{3}/4 - \pi/8)[/tex]
[tex]Orange\ area = 0.0403A^2[/tex]
What is the solution of log∨4x − 6^16 = 4
Answer:
x = 2
Step-by-step explanation:
I believe the equation you are trying to write is log of 16 with base of 4x-6 is equal to 4, and if that is the case then your answer is 4.
Methane, the chief component of natural gas, burns in oxygen according to the equation
CH4(g) + 2 O2(g) -----> CO2(g) + 2 H2O(g)
If 7.0 mol of CH4 react with an unlimited amount of oxygen, what amount (in moles) of H2O(g) will be produced?
please show your work!
Answer:
14
Step-by-step explanation:
From the equation, we see that 1 mol of methane produces 2 moles of water. To find the amount of water produced if 7.0 moles of methane react, we use the following proportion:
1 mol of methane / 7 moles of methane = 2 moles of water / x moles of water
x = 7*2 = 14 moles of water
Look at the figure. Which construction is illustrated? 7. Which is the equation of the line with slope 3 that contains point (−1, 5)?
a) y – 1 = 3(x – 5)
b) y – 5 = 3(x + 1)
c) y – 5 = 3(x − 1)
d) y – 1 = 3(x + 5)
Answer:
Option B
Step-by-step explanation:
I can't do the 'figure question' because it lacks info, but I can answer the point-slope question.
Point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]
'm' - slope
'(x1, y1)' - point
We are given the slope of 3 and the point (-1, 5).
Replace 'x1', 'y1', and 'm' with the appropriate values.
[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-5=3(x+1)}[/tex]
Option B should be the correct answer.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
5/6 and 6/7
Step-by-step explanation:
In the top of the fraction its going up by one each time (1,2,3,4 so the 5 and 6 would be the top half of the fraction), and in the bottom half its also going up by one but it started at 2 so its one more than the top half (2,3,4,5, so the 6 and 7 would be the bottom half of the fraction)
Answer:
next two terms=
[tex] \frac{5}{6} ,\frac{6}{7} [/tex]
solution,
here,
Top numbers are increasing by 1
Bottom numbers are also increasing by 1.
[tex] \frac{1}{2} , \frac{2}{3} ,\frac{3}{4} , \frac{4}{5} , \frac{4 + 1 }{5 + 1} = \frac{5}{6} , \frac{5 + 1}{6 + 1} = \frac{6}{7} [/tex]
hope this helps...
Good luck on your assignment...
A car travels 3 hours at 50mph; then travels 40mph for 7 hours. How many miles does it travel during the 10 hours?
Answer: 430 miles
Step-by-step explanation:
Distance = speed x time
1) D = 50 x 3 = 150
2) D = 40 x 7 = 280
Total distance travelled = 150+280 = 430
If a dart were thrown randomly at the dart board shown below, what is the
probability that it would land in the area between the circle with radius 2 mm
and the circle with radius 8 mm?
A. 31%
B. 48%
C. 33%
D. 45%
Answer: A. 31%
Step-by-step explanation:
First you need to find the area within each circle. This can be found by using the formula: pi * r^2
The area of the circle with radius 8mm is 64 * pi. The area of the circle with radius 14mm is 196 * pi.
196 * pi = 615.75216
64 * pi = 201.06193
Now divide the larger area by the smaller area to get how many times larger the large area is than the small area.
615.75216 / 201.06913 = 3.06239
3.06239 rounds up to 3.1
Now we know the radius of 14mm has an area 3.1 times the area of 8mm. The area of an 8mm radius has 31% of the area of a 14mm radius.
h(n)=-13nh(n)=−13nh, left parenthesis, n, right parenthesis, equals, minus, 13, n Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis
Answer:
h(1)=−31
h(n)=h(n−1)+(−7)
Step-by-step explanation:
I got it wrong- and then i found the answer :)
The recursive function is h(n) = h(n−1 ) + (−7) where h(1) = −31.
What is recursive rule?A rule defined such that its definition includes itself.
Example:
F(x) = F(x-1) + c is one such recursive rule.
Given;
h(1) = −31
This means that the function h(n) has the following parameters:
First term = −31
Rate = -7
Hence, the recursive function is h(n) = h(n−1 ) + (−7) where h(1) = −31.
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Consider the following 8 numbers, where one labelled x is unknown. 3, 49, 36,x, 21, 39, 39, 41 given that the range of the numbers is 57, WORK OUT 2 VALUES OF X
Answer:
Step-by-step explanation:ghjhh
A large jar contains 25% blue marbles. A sample contains 9 blue marbles, 15 red marbles, and 16 green marbles.
What is pˆ, the sample proportion of blue marbles?
Enter your answer, as a simplified fraction, in the box.
Answer:
Proportion of blue marbles in in sample = 9/40
Step-by-step explanation:
Total number of blue marbles in a jar is given by 25%
Lets find the probability of blue marble in the jar of the given sample:
Proportion of blue marbles in in sample = Total number of blue marbles in sample/ Total number of marbles in sample
Where
Total number of blue marbles in sample = 9
Total number of marbles in sample = 9 + 15 + 16
Total number of marbles in sample = 40
SO
Proportion of blue marbles in in sample = 9/40
or
Proportion of blue marbles in in sample = 9/40
Help will give brainliest
Answer:
72
Step-by-step explanation:
Step 1: Figure out percentages of what he owns
360(0.4) = 144 models he made
360 - 144 = 216 models he bought.=
Step 2: Figure out percentages of what he donated
144(0.25) = 36 models he donated (he made)
216(0.5) = 108 models he donated (he bought)
Step 3: Find the difference
108 - 36 = 72
And we have our answer!
14. Which of the following is the measure of QRS?
S
Q
R
Answer: B. 90ᴼ
Step-by-step explanation:
QRS is a right angle. Right angles always have a measure of 90ᴼ
Answer:
B
Step-by-step explanation:
Right angle is 90
What is the equation of the line that is perpendicular to the
given line and passes through the point (3, 4)?
Answer:
y=3x-5
Step-by-step explanation:
If the new line is perpendicular to the original line, they the slope for the new line should be the reciprocal and opposite of the original line. Since the original line's slope is -1/3, the slope of the new line is 3, which is the coefficient in the new equation representing the new line. Then, you create an equation to solve for "b" in the equation y=mx+b where "b" is the y-intercept. You plug in 3 for x, 4 for y, and 3 for m (you know that 3 is x and 4 is y because it says that the line must past (3,4). So the equation to solve for b should be "4=3(3)+b". Then for b you should get -5.
In right triangle RST, ∠T is a right angle, m∠S=41∘, and ST=8. What is the measurement of RT? Enter the correct value. If necessary, round your answer to two decimal places, like this: 42.53
Answer:
RT is 6.95 units long
Step-by-step explanation:
Use tan to find the unknown measurement
tan 41 = x/8 Simplify
0.8692 = x/8 Multiply both sides by 8
6.9536 = x
SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
Problem 1 Given: HJ=4x+9, JK=3x+3, and KH=33 Find: x, HJ, and JK x= Answer HJ= Answer JK= Answer
Answer:
Step-by-step explanation:
can anyone help? soh cah toa trig question to the nearest tenth of a foot?
Answer:
About 2.7 feet
Step-by-step explanation:
The tangent of an angle is equivalent to the length of the opposite side divided by the length of the adjacent side:
[tex]\tan 44=\dfrac{x}{2.8}\\\\x=2.8 \cdot \tan 44\approx 2.7[/tex]
Hope this helps!
Answer:
x = 2.7 feet
Step-by-step explanation:
Use tan to find the value of x
tan 44 = [tex]\frac{x}{2.8}[/tex] Simplify
0.9657 = [tex]\frac{x}{2.8}[/tex] Multiply both sides by 2.8
x = 2.70396 Round this answer to the nearest tenth of a foot
x = 2.7 feet