Answer:
12 and 8
Step-by-step explanation:
The following 6 outcomes add 7: {1, 6}, {2,5}, {3,4}, {4,3}, {5,2} and {6,1}
The following 1 outcome adds 12: {6, 6}
The following 5 outcomes add 8: {2,6}, {3,5}, {4,4}, {5,3} and {6,2}
Therefore the pair 12 and 8 would make the game fair, because both players have 6 favourable outcomes
Madhulika thought of a number, doubled it and added 20 to it. On dividing the resulting number by 25, she gets 4. What is the number?
Answer:
40
Step-by-step explanation:
To work this out you have to go backwards and do the inverse.
4*25=100
100-20=80
80/2=40
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]
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
Question: A car drives a distance of 195 miles. The car uses petrol at a rate of about 4.1 miles per litre. The petrol cost £1.14 per litre. Estimate the cost of petrol for the journey. Explanation:
Answer: £54.26
Step-by-step explanation:
Distance travelled = 195 miles
Petrol comsumption
= 195 / 4.1 = 1950 / 41 = 47.6
Cost of petrol = 47.6 x 1.14 = 54.26
Answer:
Approximately 54 pounds and 26 pence (£54.26) or just 54 pounds.
Step-by-step explanation:
The first thing I did to come to this conclusion was creating a table so that I could see that 4.1 miles over 1 liter equals 195 mils over x liters. Once I had done that to get x to equal ~47.6 I plugged that into yet another table where I had 1 liter equal £1.14 which was equal to ~47.6 equal £x. After that I divided the numerators by each other to get ~47.6, I multiplied the £1.14 by 47.6 to get an overall cost of £54.26 overall for the entire car trip.
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.
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
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.
Which equation represents this number sentence? Nine more than the quotient of a number and 3 is 21. A. N+9/ 3 = 21 B. 3/n + 9= 21 C. 9/n+3 = 21 D. n/3 + 9 = 21
Answer:
D. n/3+9=21
Step-by-step explanation:
Translate words to numbers-
Quotient of a number, n and 3: n/3
"And 9": Add 9
Is 21: =21
(n/3)+9=21
Answer:
D.
Step-by-step explanation:
9 more means +9 and the quotient of is dividing the unknown number and 3 the unknown value goes on top because it is larger than the 3.
Do the side lengths 4, 8, and 10 form a triangle
Answer:
Those side lengths 4, 8 and 10 form a triangle
BAC is similar to EDF. if the area of BAC equals 8 in.² what is the area of EDF? Plz help
Answer:
Area of ΔEDF = 4.5 in²
Step-by-step explanation:
In the figure attached,
ΔBAC ~ ΔEDF
Property of similarity,
" If two triangles are similar then their corresponding angles will measure the same."
Scale factor for ΔBAC to ΔEDF = [tex]\frac{\text{Side EF}}{\text{Side BC}}[/tex]
= [tex]\frac{3}{4}[/tex]
"Ratio of the area of similar triangles = Square of the ratio of their corresponding sides"
[tex]\frac{\text{Area of triangle FDE}}{\text{Area of triangle CAB}}[/tex] = [tex](\frac{3}{4})^2[/tex]
[tex]\frac{\text{Area of triangle FDE}}{8}=\frac{9}{16}[/tex]
Area of ΔEDF = [tex]\frac{9\times 8}{16}[/tex]
= 4.5 square inches
Therefore, area of ΔEDF = 4.5 in²
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.
Learn more about recursive rule and explicit rule here:
https://brainly.com/question/12620593
#SPJ2
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.
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:
In how many months were there more than two days with thunderstorms?
Answer:
5
Step-by-step explanation:
March,May,June,July,August
what is the slope of the line shown below?
Answer:
DStep-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(1-(-1))
m=6/2
m=3
3 is option D
Hey there! :)
Answer:
D. m = 3.
Step-by-step explanation:
Use the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Use the two points given and plug them into the equation:
[tex]m = \frac{5-(-1)}{1-(-1)}[/tex]
Simplify:
[tex]m = \frac{6}{2} \\\\m= 3[/tex]
Therefore, the slope of the line is D. m = 3.
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the
SAS similarity theorem?
Answer:
I THINK ITS A
Step-by-step explanation:
Triangle Congruency Proofs:
Complete each proof. Remember to MARK THE DIAGRAM
Answer:
Statement Reason
AC ≅ AR Given
∠1 ≅ ∠2 Given
∠A ≅ ∠A Vertical angles
ΔCAT ≅ ΔRAD ASA postulate
∠1 ≅ ∠2 corresponding parts of congruent triangles are congruent.
Step-by-step explanation:
For the third statement, I'm assuming from the picture that points C, A and D are collinear, and points T, A and R are also collinear.
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.
A square pyramid is made up of a base with a side length of 10 inches and faces that are triangles with a height of 12 inches. What is the surface area of the square pyramid?
A. 120 square inches
B. 125 square inches
C. 240 square inches
D. 340 square inches
Answer:
The correct option is D
D) 340 inch²
Step-by-step explanation:
The base of the pyramid is a square with side 10 inch
Area of square base = Length · Width = 10 · 10
Area of square base = 100 inch²
Height of triangle = 12 inches
Base of triangle = 10 inches
Area of triangle = (1/2)(Height)(Base) = (1/2)(12)(10)
Area of triangle = 60 inch²
Total number of triangles in a pyramid = 4
Total Area of 4 triangles = 4 · 60 inch²
Total Area of 4 triangles = 240 inch²
Surface Area = Area of 4 triangle + Area of the square base
Surface Area = 240 inch² + 100 inch²
Surface Area = 340 inch²
Answer:
The Answer would be D
Step-by-step explanation:
This Answer would also apply to E2020 test/exam
how many vertical asymptotes does the graph of this function have f(x)=3/x(x-4)
Answer:
2
Step-by-step explanation:
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].
Learn more about Exponential Function here:
https://brainly.com/question/12480134
#SPJ7
At a NBA, the ratio of the score of team A to the score of team B was 16:21. If team A got 80 points, how many points did team B get?
Answer:
I answered this for you already :)
Compute the permutations and combinations. 10C10 10 0 1
Answer:
wait plse
o
Step-by-step explanation:
i know the answere i am quite busy will answer u later
Answer:
The answer is 1
Step-by-step explanation:
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
SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
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!
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
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.
Learn more here:
https://brainly.com/question/1563728
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.
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]