Considering that the powers of 7 follow a pattern, it is found that the last two digits of [tex]7^{1867}[/tex] are 43.
What is the powers of 7 pattern?The last two digits of a power of 7 will always follow the following pattern: {07, 49, 43, 01}, which means that, for [tex]7^n[/tex], we have to look at the remainder of the division by 4:
If the remainder is of 1, the last two digits are 07.If the remainder is of 2, the last two digits are 49.If the remainder is of 3, the last two digits are 43.If the remainder is of 0, the last two digits are 01.In this problem, we have that n = 1867, and the remainder of the division of 1867 by 4 is of 3, hence the last two digits of [tex]7^{1867}[/tex] are 43.
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A circle has a diameter of
16".
What is the approximate
Circumference? What is the approximate area?
Step-by-step explanation:
to calculate circumference:
[tex]2\pi \: r[/tex]
if the diameter is 16 then the radius would be 8.
[tex]2\pi \:r \\ = 2\pi(8) \\ = 16\pi \\ =Rationalize(50.26548245744) \\circumference = 50.27[/tex]
to calculate the area of a circle:
[tex]\pi {r}^{2} \\ = \pi( {8})^{2} \\ = Rationalize(201.06192982975) \\ area = 201.06 \: ^{2} [/tex]
3) Write the inequality that
represents "owing $26.00 is
better than owing $147.00.”
6.NS.7b
Answer:
See belowStep-by-step explanation:
Owing represent a negative balance.
So the inequality for this case is:
- 26.00 > - 147.00The word owing is given which simply denotes to negative transaction
So here the inequality is
-26.00>-147.00Or
-147.00<-26.00What whole number should replace C so that the
three values are in ascending order?
27%, С/10, 0.36
Answer:
3
Step-by-step explanation:
3/10 = .3
NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse or exponential, write the equation. #9
Answer:
relationship: inverseequation: y = 25/xStep-by-step explanation:
You are correct that the relationship is inverse, and that the product of x and y is a constant, 25.
__
The equation should be written so that y is a function of x:
[tex]\boxed{y=\dfrac{25}{x}}[/tex]
The x in the denominator clearly shows that y is proportional to the inverse of x.
Answer:
Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.
Inverse relationship: the value of one variable decreases as the value of the other variable increases.
Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)
Question 5
As the x-value increases (by one unit), the y-value decreases.
Therefore, this is an inverse relationship.
The y-values can be calculated by dividing 25 by the x-value.
[tex]\sf y=\dfrac{25}{x}[/tex]
a triangle banner is to be made according to the specifications in the figure shown with dimensions given in inches. WOODEN STICKS WILL BE USED TO OUTLINE THE PERIMETER of the banner in order to attach the interior material. How many inches of wooden sticks will be required?
Applying the Pythagorean theorem, the amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.
What is the Pythagroean Theorem?The Pythagorean theorem is used to find a side of a right triangle, and it states that if c is the hypotenuse and a and b are the other legs, therefore: c² = a² + b².
Find the altitude/height of the triangle using the Pythagorean theorem:
height = √(13² - 5²)
height = 12
Also, use the Pythagorean theorem to find the missing side (part of the longest side of the main triangle):
missing side = √(15² - 12²) = 9
Amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.
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11
12
10
7
8
6
5
29 and 22
23 and 22
26 and 23
21 and 27
Submit
Work it out
Answer: Angle 3 and Angle 2
Step-by-step explanation:
The angles form a linear pair, which means they are supplementary.
Please answer the questions (for 50 points) Also please show work on the answer
Answer:
144 sq cm
Step-by-step explanation:
The base is a triangle. Area of a triangle is:
A = 1/2 b • h
A = 1/2(4)•3
A = 6
There are 2 of these bases.
Area of 2 bases= 12.
There are three rectangular sides. Area of a rectangle is:
A = l × w (or b•h)
A = 5 × 11 = 55
A = 3 × 11 = 33
A = 4 × 11 = 44
Add up three rectangular faces and two bases for Total Surface Area:
12 + 55 + 33 + 44
= 144 sq cm
Answer:
144 cm ²
Step-by-step explanation:
The surface area of a right triangular prism is made up of 2 congruent triangles (these are called the "bases") and 3 rectangles.
Surface area of a right triangular prism formula
Surface area = (S₁ + S₂ + S₃)L + bh
where:
S₁, S₂ and S₃ are the side lengths of the triangleL is the length of the prismb is the length of the base of the triangleh is the height of the triangle⇒ Surface area = (3 + 4 + 5)11 + 4 × 3
= (12)11 + 12
= 132 + 12
= 144 cm²
Find the Mean Absolute Deviation: {6, 6, 3, 4, 4}
Answer:
To find the mean absolute deviation take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set.
6,6,3,4,4 - Mean Absolute Deviation: 1.12
Find the distance between the two points in simplest radical form
(6,-4) and (1,-6)
Answer
[tex]\sqrt29[/tex]
Step-by-step explanation:
1. Write the distance formula:
[tex]\sqrt(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}[/tex]
2. Substitute
Substitue (6, -4) and (1, -6) into
[tex]\sqrt(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}[/tex]
[tex]\sqrt(1 - 6) ^{2} + (-6 + 4)^{2}[/tex]
3. Calculate
[tex]\sqrt(1 - 6) ^{2} + (-6 + 4)^{2}[/tex]
[tex]\sqrt(-5) ^{2} + (-2)^{2}[/tex]
[tex]\sqrt5 ^{2} + 2^{2}[/tex]
[tex]\sqrt25 + 4[/tex]
[tex]\sqrt29[/tex]
Carlos has 8 dollars and 48 cents. Alissa has 4 dollars and 14 cents. How much money does Carlos need
To give Alissa so that each of them has the same amount of money?
Answer:
.2 dollars and 17 cents
Step-by-step explanation:
Carlos has 8dollars and 48 cents --->8+0.48=8.48
Alissa has 4dollars and 14 cents--->4+0.14=4.14 let
x--->amount of money that Carlos needs to give Alissa
The linear equation that represents this situation is 8.48-x=4.14+x
solve for x2x=8.48-4.14
2x=4.34
x=2.17
therefore,the amount of money is 2 dollars and 17 cents.
thank you
by Angel osei
what’s the height of the cylinder? Is it 6? Or do i have to find it with the 17. Is it 10?
PLS HELP
Answer:
Cylinder height = 10
Semi-circle height = 3
Cone height = 4
Step-by-step explanation:
The height of the cylinder is always going to be the long side. 6 is the diameter of its circle. Here is a list of variables:
Diameter, D = 6
Radius, r = 3
Slant height of cone, c = 5
To find the height of the cylinder, we will need to find the height's of the cone and semi-circle:
CONE (see image attached)
a² + b² = c²
3² + h² = 5²
h² = 25 - 9
h = √16
h = 4
SEMI-CIRCLE
h = radius
h = 3
CYLINDER
Cylinder height = total h - semi-circle h - cone h
h = 17 - 3 - 4
h = 10
I'm not sure if you're trying to solve for volume, so I'll end it here LOL. Hope this helps and have a great evening!
By using math to identify goals and to reach those goals quickly and efficiently, individuals display what skill?
Answer:
multiple tasking them right
Answer:
results-driven
Step-by-step explanation:
For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.
answer:
[tex]\frac{4}{9}[/tex]
explanation:
the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.
[tex]\frac{16}{36} = \frac{4}{9}[/tex]
--
if this helped, please consider giving brainliest !
which of the following are solutions
Answer:
-5 and 9
Step-by-step explanation:
To find the solutions we will factor the equation.
First we take out a 2:
[tex]2(x^2-4x-45)[/tex]
Then we can factor again:
[tex]2(x+5)(x-9)[/tex]
This provides us with the answer of:
[tex]x+5=0[/tex]
and
[tex]x-9=0[/tex]
Hence the solutions of -5 and 9.
The Diameter of the medal is 6cm determine the radius of the medal
Answer:
3cm
Step-by-step explanation:
the radius is half the diameter
If the diameter = 6, the radius must = 3.
Hope this helps!
- profparis
I would like some help
Answer:
y = -2/3x + 4
Step-by-step explanation:
The y-intercept of the graph is at (0, 4) so in the equation of the line (y = mx + b), b = 4 [But all the options have that, so we have to evaluate further]The slope of the line can be calculated by where its next point on the graph isA point is (3, 2)Slope, m = 2 - 4 / 3- 0 = -2/3Equation of the line : y = -2/3x + 4convert [tex]\sqrt3 + i[/tex] to polar form
[tex]a~~\pm~~bi\implies r[\cos(\theta ) \pm i\sin(\theta )] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt{3}~~ + ~~i\implies \stackrel{x}{\sqrt{3}}~~ + ~~\stackrel{y}{1} i\qquad \qquad \begin{cases} r=\sqrt{x^2+y^2}\\\\ \theta =\tan^{-1}\left( \frac{y}{x} \right) \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]r=\sqrt{(\sqrt{3})^2+(1)^2}\implies r=\sqrt{3+1}\implies r=2 \\\\\\ \theta =\tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies \theta =\cfrac{\pi }{6} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 2\left[\cos\left( \frac{\pi }{6} \right)~~ + ~~i\sin\left( \frac{\pi }{6} \right) \right]~\hfill[/tex]
Check the picture below.
A student wants to interview other students about their favorite sport. The student interviews every fifth student who enters the school in the morning. Is this a random sample or a biased sample?
A
Random sample
B
Biased sample
Answer:
Biased
Step-by-step explanation:
A farmer sells eggs in containers holding a dozen eggs. If he has 2178 eggs, how many containers will be filled completely? How many eggs will be left over?
Answer:
~181 containers filled completely, 6 eggs left over
Step-by-step explanation:
2178 ÷ 12 (a dozen, the number of eggs per container) = 181.5 containers
181 × 12 = 2,172 eggs
2,178 eggs - 2,172 = 6 eggs left over
Find the value of 2^-3
Answer:
Exact form would be 1/8
and the decimal form is 0.125
Answer:
2^-3=1/8=0.125
Step-by-step explanation:
We have a negative exponent (-3) in order to make an exponent positive write the reciprocal of the number
We get 2^-3 = 1/(2^3)
and 2^3=8
so we get 2^-3= 1/8 =0.125
Which values are in the solution set of the compound inequality –8 < 3x + 7 ≤ 10? Select three options. –15 –5 –3 0 1
Answer:
Your answers: -5, 0, 1
Step-by-step explanation:
–8 < 3x + 7 ≤ 10 That is the original compount inequality given.
We need to solve it in order to get an easy option.
-15, -5, -3, 0, 1 are the options.
_________________________________________________
Steps to solve:
–8 < 3x + 7 ≤ 10
Subtract 7 from both sides
–8 < 3x ≤ 10 - 7
Now do 10-7
–8 < 3x ≤ 3
Do 3x divided by 3
–8 < x ≤ 1
________________________________________________________
Evaluation and Answer Explanation:
–8 < x ≤ 1
That is your inequality statement.
The inequality statement states that "x" is greater than -8 but less than or equal to 1.
We can automatically choose 0 and 1 because 0 is greater than -8 and less than or equal to 1.
1 is correct because it is greater than -8 and less than or equal to 1
Now, there are two answers remaining: -15; -5.
Let's try -15.
-15 isn't greater than -8 but is less than 1. This is incorrect because it follows one inequality but doesn't follow both.
**Rule: the bigger you go on the negatives like -20 or -99 your numbers get smaller. If you go more towards the 0 like -1, -5, -3 your numbers get bigger.
-5 works because it is greater than -8 and less than or equal to 1.
Your answers: -5, 0, 1
Suppose that $500 is deposited into an account that pays 5.5% interest compounded
quarterly. How long will it take for the account to contain at least $1400? Round to the
nearest whole number.
Answer:
18.85 years
Step-by-step explanation:
Using the [tex]A=P(1+\frac{r}{n} )^{nt}[/tex] we can manipulate it to give us time.
However, let's identify our variables:
A is our final amount which is given to us, $1400.
P is our principle which is $500.
r is our rate which is 5.5% which can be traducted into 0.055.
n is the # of time our money get compounded per year, in this case quarterly means 4 times a year therefore n = 4.
t is time and is what we are trying to solve for.
Now let's manipulate our equation to find t:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
[tex]\frac{A}{P} =(1+\frac{r}{n} )^{nt}[/tex]
[tex]\frac{1400}{500} =(1+\frac{0.055}{4} )^{4t}[/tex]
[tex]2.8=1.01375^{4t}[/tex]
[tex]log_{1.01375}(2.8)=log_{1.01375}1.01375^{4t}[/tex]
[tex]log_{1.01375}(2.8)=4t[/tex]
[tex]\frac{log_{1.01375}(2.8)}{4} =t[/tex]
[tex]18.84876253=t[/tex]
It would take about 18.85 years in order for you to accumulate at least $1400.
Adía swam 7 laps in a pool Kaya swam 28 laps how many times the number of laps adía swam did kaya swim circle the letter of the correct answer
A. 4
B. 21
C. 35
D. 196
Help me my sister needs help she is in 4th grade
Contort 39 to base five
A rectangle is graphed on a coordinate plane. The
coordinates for two of the vertices of the rectangle are
(-5, 8) and (-5, -6). What is the distance between
the two vertices?
The two vertices (-5, 8) and (-5, -6) of the rectangle have the same x-coordinates
The distance between the two vertices is 14 units
How to determine the distance between the two vertices?The vertices are given as:
(-5, 8) and (-5, -6)
The distance between the two vertices is calculated using:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
So, we have:
d = √[(-5 + 5)^2 + (8 + 6)^2]
Evaluate the sum
d = √196
Evaluate the square root
d = 14
Hence, the distance between the two vertices is 14 units
Read more about distance at:
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Answer: 14
Step-by-step explanation:
Parametric Equations
1.
Anytown High School is planning a play. The script calls for two characters to meet on stage.
Lauren starts at the point (0 feet, 6 feet) and travels horizontally at a rate of 1 foot per second.
Alex starts at the point (4 feet, 0 feet) and travels vertically at a rate of 2 feet per second. If
Alex and Lauren start wa lking at the same time, will they meet?
Although Alex and Lauren will both step into position 4,6, they will not do it at the same time, so they will not meet.
How do Alex and Lauren position will change?Lauren:
Initial position: 0,6Second 1: 1,6Second 2: 2,6Second 3: 3,6Second 4: 4,6Alex:
Initial position: 4,0Second 1: 4,2Second 2: 4,4Second 3: 4,6Second 4: 4,8Do they meet?Both will step in the position 4,6, However, Lauren will be in this positon in the second 4, while Alek will do it on the second 3.
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#SPJ1
Solve the proportion.
3x/10=3/2
In order to solve a proportion, you should cross-multiply:-
[tex]\bf{\displaystyle\frac{3x}{10} =\frac{3}{2}}[/tex]
Multiply 3x times 2 and 10 times 3:-
[tex]\bf{6x=30}[/tex]
Divide both sides by 6:-
[tex]\boxed{\bf{x=5}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Question 5 of 10
Which of the following is most likely the next step in the series?
Answer:
option A
Step-by-step explanation:
Answer os option a
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a significance level for both parts. Treatment Placebo n s Question content area bottom Part 1 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. : : B. : : C. : : D. : : Part 2 The test statistic, t, is enter your response here. (Round to two decimal places as needed.) Part 3 The P-value is enter your response here. (Round to three decimal places as needed.) Part 4 State the conclusion for the test. A. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. D. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. Part 5 b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. 10.24 2.048 (Round to three decimal places as needed.)
There's sufficient evidence to reject the null hypothesis between the treatment group and placebo group.
How to illustrate the hypothesis?From the complete information, the value of the test statistic is -1.76 and the p-value is 0.085.
In this case, there's sufficient evidence to reject the null hypothesis. Therefore, there's evidence to warrant the rejection of the claim that the two samples are from population with same mean.
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Classify the equation 6x + 4x - 1 = 2(5x + 4) as having one solution, infinitely many solutions, or no
solution
Enter integers or expressions to complete the solution.
6x + 4x – 1 = 2(5x + 4)
6x + 4x -1= 5x +
1 • 5x+]•4
x-1= X+8
10x - 1x - 1 = 10x -x+8
(Simplify your answers.)
Enter your answer in the edit fields and then click Check Answer.
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Answer:
no solution
Step-by-step explanation:
6x + 4x - 1 = 2(5x + 4) ← distribute parenthesis
10x - 1 = 10x + 8 ( add 1 to both sides )
10x = 10x + 9 ( subtract 10x from both sides )
0 = 9 ← not possible
this indicates the equation has no solution