Simplify -7(-4p+1) + 2p
Step-by-step explanation:
-7(-4p+1) + 2p
-7 x -4 = 28p
-7 x 1 = -7
28p + 2p = 30p
so
30p-7
pls help me with #3 I don’t understand
Answer:
h ≈ 235
Step-by-step explanation:
We know there is a tower with h height. There is also a wire (that's diagonal) travelling to the ground. It touches the ground. The angle it makes with the ground is 57°.
Refer to the image below of what the problem should look like.
Refer to the trigonometric ratios:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
We can use sine because we are looking for the opposite side (to the angle) and we have the hypotenuse. So:
sine = opposite side/hypotenuse
sin(57) = h/280
sin(57) / 1 = h / 280
Cross multiply:
sin(57) (280) = 1 (h)
Input to calculator:
h = 234.827759...
h ≈ 235
The first line in the system of equations is graphed on the coordinate plane. Graph the second line to find the solution to the system. x + 2 y = negative 2. y = one-half x minus 5. Kaden’s Graph On a coordinate plane, a line goes through (0, negative 1) and (2, negative 2). What is the solution to the system of equations? no solution infinitely many solutions (4, –3) (1.5, –1.75)
Answer:
C. (4, -3)
Step-by-step explanation:
edge 2020 :D
also different slopes in the y = mx + a, so there are different slopes between 1/2 and 2 and different y-intercepts, -2 and -5. there can be one solution but you gotta figure that out
We can conclude the following answers -
Kaden's graph has infinitely many solutions.Solution set for the given system of equations is (4, -3).What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
where -
{m} is the slope of the line.
{c} is the {y} - intercept.
Given is that on a coordinate plane, a line goes through (0, negative 1) and (2, negative 2). This line represents Kaden’s Graph. Also a system of equations is given as -
x + 2y = - 2
y = (x/2) - 5
{ 1 } -
Kaden's graph passes through the points -
(0, - 1)
(2, - 2)
We can write the equation of the Kaden's graph as -
y = {(- 2 + 1)/(2 - 0)}x + {- 1}
y = - x/2 - 1
There is only one equation for Kaden's graph. Hence, it has infinitely many solutions.
{ 2 } -
x + 2y = - 2
y = (x/2) - 5
We can write -
x = - 2 - 2y
So -
y = (- 2 - 2y)/2 - 5
y = - 1 - y - 5
2y = - 6
{y} = -3
x = - 2 - 2 x - 3
{x} = 4
Therefore, we can conclude that -
Kaden's graph has infinitely many solutions.Solution set for the given system of equations is (4, -3).To solve more questions on straight line equations, visit the link-
https://brainly.com/question/29223887
#SPJ7
The second angle of a triangle is 12 less than the first angle. The third angle is two times the first. Find the
three angles.
First angle:
Second angle:
Third angle:
Answer:
First angle: 48°
Second angle: 36°
Third angle: 96°
Step-by-step explanation:
The sum of the three angles of a triangle = 180°
Let the measure of the first angle be a°
Then second angle measure = (a - 12)°
Third angle measure = 2a°
Adding up all these should equal 180°
⇒ a + a - 12 + 2a = 180
⇒ 4a - 12 = 180
⇒ 4a = 180 -+ 12
⇒ 4a = 192
⇒ a = 192/4 = 48°
Thus the first angle is 48°
Second angle = 48 - 12 = 36°
Third angle = 2 x 48 = 96°
Find the slope between (2, -1) and (2,5) by graphing or solving..
Answer:
Step-by-step explanation:
I think the easiest way would be to plot the points onto a graph. See the attached graph.
If you want to solve it, you can use the slope formula:
\(m = \frac{y2-y1}{x2-x1}\)
Where m = slope
From the two points we are given:
(2, -1) -----> x1 = 2 , y1 = -1
(2,5) -----> x2 = 2 , y2 = 5
Plug these values into the slope formula and you get:
\(m = \frac{y2-y1}{x2-x1}\)
m = \(\frac{5 - (-1)}{2 - 2}\) = \(\frac{5 + 1}{0} = \frac{6}{0}\) = ∞
This means that the slope m = ∞. In other words, there is no slope or gradient because the line is vertical.
What is the cardinality of the set W = {x | x is a day of the week} ?
Answer:
7
Explanation:
The cardinality of a set is the number of elements in the set
Given the set W = {x | x is a day of the week}
The days of the week are {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
Hence the set W will be;
W = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
n(W) = 7 (since there are 7 days in a week)
Hence the cardinality of the set W is 7
an investor believes that investing in domestic and international stocks will give a difference in the mean rate of return. they take two random samples of 15 months over the past 30 years and find the following rates of return from a selection of domestic (group 1) and international (group 2) investments. can they conclude that there is a difference at the 0.05 level of significance? assume the data is normally distributed with unequal variances. use a confidence interval method. round to 4 decimal places. average group 1
Based on the given data, we cannot conclude that there is a significant difference in the mean rate of return between domestic and international stocks.
To test if there is a significant difference in the mean rate of return between domestic and international stocks, we can perform a two-sample t-test with unequal variances.
Here are the steps to carry out the test:
Step 1: Determine the level of significance:
The level of significance = 0.05.
Step 2: Compute the test statistic:
We can use the two-sample t-test with unequal variances to compute the test statistic. The formula for the test statistic is:
t = (x1 - x2) / sqrt((s1^2/n1) + (s2^2/n2))
where x1 and x2 are the sample means for domestic and international stocks, s1 and s2 are the sample standard deviations for domestic and international stocks, and n1 and n2 are the sample sizes for domestic and international stocks.
Using the given data, we have:
x1 = 0.968, x2 = 0.864
s1 = 0.077, s2 = 0.117
n1 = n2 = 15
t = (0.968 - 0.864) / sqrt((0.077^2/15) + (0.117^2/15))
t = 1.771
Step 3: Determine the critical value:
df = (s1^2/n1 + s2^2/n2)^2 / (s1^4/(n1^2 df1) + s2^4/(n2^2 df2))
where df1 = n1 - 1 and df2 = n2 - 1.
Using the given data, we have:
df1 = 14, df2 = 14
df = (0.077^2/15 + 0.117^2/15)^2 / (0.077^4/(15^214) + 0.117^4/(15^214))
df = 24.102
Using a t-distribution table or calculator with 24 degrees of freedom and a significance level of 0.05, we find the critical value to be ±2.064.
Step 4: Make a decision and interpret the results:
Since the calculated t-value (1.771) is less than the critical value (±2.064), we fail to reject the null hypothesis. Therefore, we cannot conclude that there is a significant difference in the mean rate of return between domestic and international stocks at the 0.05 level of significance.
Learn more about level of significance here
brainly.com/question/29663617
#SPJ4
Use the Rational Zeros Theorem to write a list of all potential rational zeros.
Answer:
Your potential zeros are ± 1/2, ± 3/2, ± 1, and ± 2.
Help again please thanks guys
Answer: 42
Step-by-step explanation: This is just subtraction. You can do it one of two ways. Way one:
\(68\frac{1}{2} -26\frac{1}{2} =42\)
Way two:
\(68.5 - 26.5 = 42\)
Apples cost $0.75 per pound and bananas cost $1.05 per pound.
A baker bought a total of 12 pounds of apples and bananas for $10.20.
The system of equations {a+b=120.75a+1.05b=10.20 models this situation, where a is the number of pounds of apples, and b is the number of pounds of bananas.
How many pounds of each did the baker buy?
Answer:
The baker bought 8 pounds of apples and 4 pounds of bananas.
Step-by-step explanation:
a+b=12.
0.75a+1.05b=10.20
First, multiply 2 my 10.
75a+105b=1020.
Then multiply 1 by 75.
75a+75b=900.
Then subtract.
75a+105b=1020
75a+75b=900.
75a-75a+105b-75b=1020-900
30b=120
b=4
Substitute into (1)
a+4=12
a=8.
Hope this helps :)
10-x≤35 someone help me how tot explain this to someone
Answer:
e
Step-by-step explanation:
PLS HELP ME DUE TODAY
Answer:
Domain: (-∞, -5) (-1, ∞)
Step-by-step explanation:
Note:
For f(x) > 0: See the points of x for which the graph of f(x) lies above the x-axis.
For f(x) < 0: See the points of x for which the graph of f(x) lies below the x-axis.
We need to find the domain of f(x) for which f(x) < 0
From the graph, we can tell:
f(x) < 0 on (-∞, -5) ∪ (-1, ∞)
Therefore: The domain on which the given graph f(x) is negative, is (-∞, -5) ∪ (-1, ∞)
On a certain hot summer's day, 552 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled How many children and how many adults swam at the public pool that day?
Call the number of children
c
and adults
a
you have:
c
+
a
=
481
and
1.25
c
+
2.25
a
=
865.25
Try to solve this system to find
c
and
a
.
Please help! Having trouble with this
Answer:
B
Step-by-step explanation:
Put them in there calculator
find the equation of the tangent line to the function f(x)=−2x^3−4x^2−3x +2 at the point where x=−1
The equation of the tangent line to the function \(f(x) = -2x^3 - 4x^2 - 3x + 2\) at the point where x = -1 is y = -x + 6. The slope of the tangent line is -1, and the point of tangency is (-1, 7).
To find the equation of the tangent line to the function\(f(x) = -2x^3 - 4x^2 - 3x + 2\) at the point where x = -1, we need to determine both the slope of the tangent line and the point of tangency.
First, we find the derivative of the function f(x) to obtain the slope of the tangent line. The derivative of \(-2x^3 - 4x^2 - 3x + 2 is f'(x) = -6x^2 - 8x - 3\).
Next, we substitute x = -1 into the derivative to find the slope of the tangent line at x = -1: \(f'(-1) = -6(-1)^2 - 8(-1) - 3 = -6 + 8 - 3 = -1\).
Now, we have the slope of the tangent line, which is -1. To find the point of tangency, we substitute x = -1 into the original function f(x): \(f(-1) = -2(-1)^3 - 4(-1)^2 - 3(-1) + 2 = -2 + 4 + 3 + 2 = 7\).
Therefore, the point of tangency is (-1, 7), and the equation of the tangent line can be written in a point-slope form as y - 7 = -1(x - (-1)) or y - 7 = -1(x + 1).
In slope-intercept form, the equation simplifies to y = -x + 6.
Therefore, the equation of the tangent line to the function \(f(x) = -2x^3 - 4x^2 - 3x + 2\) at the point where x = -1 is y = -x + 6. The slope of the tangent line is -1, and the point of tangency is (-1, 7).
To learn more about tangent line from the given link
https://brainly.com/question/30162650
#SPJ4
Question 13
A train runs 68m, 127m, 208m, 312m, and 535m in five successive minutes after it
starts. For the next five minutes, it runs an average speed of 33 km/h. Find the
total distance covered in ten minutes,
A. 12 km
B. 10 km
C. 4 km
D. none
Answer:
C
Step-by-step explanation:
Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.
From the first part of the question, we already know the distances in the first 5 minutes.
Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;
Mathematically; Total distance = average speed * time
From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.
That would be 5/60 = 1/12 hours
So the total distance in the second 5 minutes is;
33 * 1/12 = 2.75 km
Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;
That would be;
68 + 127 + 208 + 312 + 535 = 1,250 m
Let’s convert this to km.
We simply divide by 1000 = 1250/1000 = 1.25 km
The total distance is thus ;
1.25 + 2.75 = 4 km
During what ten-year period did the average age increase the most? a. from 1970 to 1980 b. from 1980 to 1990 c. from 1910 to 1920 d. from 1940 to 1950
During from 1980 to 1990 ten-year period did the average age increase the most
What is age ?Age is the duration of something's existence or being alive.
East Asian age calculation, a method of calculating age in Asia that begins at 1
Getting older, also referred to as aging,
Senescence, the age-related progressive decline in biological function
human advancement (biology)
Periodization, the division of history into clearly delineated chronological periods with names,
The stages of human existence on Earth as described by Greek mythology and its later Roman interpretation are known as the "Ages of Man."
Age before time
the given name age
Aage is the pen name of Italian screenwriter Agenore Incrocci.
To learn more about age from the given link:
https://brainly.com/question/927362
#SPJ4
What is the answer to 1/2x112?
answer: 56 tama po yan sinolve ko na yan
⚠️For ALL of y’all who said the answer was letter D, was INCORRECT!!
‼️Someone tell me what the right answer is
❤️Thanks in advance
Answer: B) 76.86
Step-by-step explanation:
Follow the steps others took to get D, then divide by 12 to get 76.86
Hope it helps <3
.a semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. find the height of the arch at a distance of 1.5 m from the center of the arch.
The height of the arch at a distance of 1.5 meters from the center is approximately D. 1.73 meters
The shape of a semi-elliptical arch can be described by the equation:
y = c * sqrt(1 - (x/a)^2)
where "a" is half the span of the arch, "c" is the central height of the arch, and (x,y) are the coordinates of a point on the arch, measured relative to the center of the arch.
In this case, we have a span of 6 meters, so a = 3 meters. The central height of the arch is 2 meters, so c = 2 meters. We want to find the height of the arch at a distance of 1.5 meters from the center, so x = 1.5 meters.
Substituting these values into the equation, we get:
y = 2 * sqrt(1 - (1.5/3)^2)
y = 2 * sqrt(1 - 0.25)
y = 2 * sqrt(0.75)
y = 2 * 0.866
y = 1.732
Therefore, the height of the arch at a distance of 1.5 meters from the center is approximately 1.73 meters. Answer D
Learn more about the geometry of curves:https://brainly.com/question/28199103
#SPJ11
Your question is incomplete, but probably the complete question is :
A semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. Find the height of the arch at a distance of 1.5 m from the center of the arch.
A. 1.41 m C. 1.56 m
B. 1.63 m D. 1.73 m
If the measure of angle 4 is 43 degrees, then the measure of angle 6 is -------
degrees and the measure of angle 5 is -------- degrees. The measure of angle 8 is -------- degrees and the measure of angle 1 is --------- degrees.
Answer:
degrees and the measure of angle 5 is -------- degrees. The measure of angl
Step-by-step explanation:
Solve the following quadratic by completing the square. (Hint: It won't factor) x2-10x+5=0
\(5+2\sqrt{5} , 5-2\sqrt{5}\) Answer: 5±2\(\sqrt{5}\)
Step-by-step explanation:
x2 -10x=5=0
x2-10x+25=-5+25
(x-5)(x-5)=20
\((x-5)^{2} =\sqrt{20}\)
\(\sqrt{x-5}=\sqrt{20}\)
x-5=±\(\sqrt{20\)
x=5±\(\sqrt{5*4\)
x=5±2\(\sqrt{5}\)
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 90 N acts on a certain object, the acceleration of the object is 10 m/s² . If the force is changed to 81N , what will be the acceleration of the object?
Answer:
9 1/10th m/s2 :)
Step-by-step explanation:
The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...
choices:
x=360-114
x=114-90
360=x +90+114
Answer:
see explanation
Step-by-step explanation:
The sum of the angles around D = 360° , then
x = 360 - (114 + 90) ← equation to find x
= 360 - 156
= 204
If an isosceles triangle ABC has a vertex B, and AB=6×+3, BC
BC=8x-1, and AC=10x-10, find x
Using the given information, the value of x is 2
Calculating the length of the leg of an isosceles triangleFrom the question, we are to determine the value of x
From the given information,
The isosceles triangle ABC has its vertex at B
If the vertex is at B, then we can conclude that
AB = BC (Legs of an isosceles triangle are equal a)
Also, from the given information,
AB = 6×+3
BC = 8x-1
Thus,
6x + 3 = 8x - 1
Collect like terms
3 + 1 = 8x - 6x
4 = 2x
2x = 4
∴ x = 4/2
x = 2
Hence, the value of x is 2
Learn more on Isosceles triangle here: https://brainly.com/question/18640272
#SPJ1
what is the smallest angle of rotational symmetry for a square? 45ş 90ş 180ş 360ş
Answer:
Step-by-step explanation:
i think 45 because a square could be broken up into 4s
Answer:
\(90^{\circ}\)
Step-by-step explanation:
Take any square and try rotating it.
2011 as the base year (1=0) b) Estinate total foderal recescts in 2015, c) When will totas federal receipts be 313 trition? a) Find the growth fatio k. k= (Do not round unti the final arrower. Then rourud to sux docimal places as nocdod) Whta five exponential function f(t) F(t)= b) Estimate tolal foderal recepts in 2015 . The tolat tederal receipts n2015 wa te neprexmativy tibon. (Use the Bnswer from past (a) to find this anawer Round to two decime places as neididi) c) When will total tuderal receets be $13 irillon? The total fedoral recopts will be 513 trilion acprowimalely yoars after zin1
To solve the given problems related to total federal receipts, we first find the growth ratio (k) using the base year and the value of the exponential function. Then, using the growth ratio, we estimate the total federal receipts in 2015 and determine the year when the total federal receipts reach $313 trillion.
(a) To find the growth ratio (k), we need to use the given exponential function f(t) = b. Using the base year, we have f(1) = 0. Therefore, substituting the values, we get b = k^4. Solving for k, we find k = 0.
(b) To estimate the total federal receipts in 2015, we use the growth ratio from part (a). Since k = 0, there is no growth, and the total federal receipts in 2015 would be the same as in the base year, which is $0.
(c) To determine the year when the total federal receipts reach $313 trillion, we use the growth ratio obtained in part (a). Since k = 0, there is no growth, and the total federal receipts will never reach $313 trillion.
In summary, according to the given information, the growth ratio is 0, resulting in no change in total federal receipts. Therefore, the total federal receipts in 2015 would be $0, and they will never reach $313 trillion as there is no growth.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ11
Which expression is equivalent to the following expression?
(3x²y²) ³
3x^5y^5
9x^5y^5
27x^6y^6
9x^6y^6
Answer:
When you raise a power to another power, you multiply the exponents. Therefore, to simplify (3x²y²)³, you need to multiply the exponent 3 by each of the exponents in the parentheses:
(3x²y²)³ = 3³ x (x²)³ x (y²)³
= 27x^6y^6
So, the expression that is equivalent to (3x²y²)³ is 27x^6y^6, which is option C.
A cone-shaped paper drinking cup is to be made to hold 36 cm^3 of water. Find the height and radius of the cup that will use the smallest amount of paper. (Round your answers to two decimal places.)
height 4.10 cm
radius ____ cm
A cone-shaped paper drinking cup is to be made to hold 36 cm^3 of water. In order to make the paper cup with the least amount of paper, we need to minimize the surface area of the cone.
We want to minimize the surface area of the cone, which is given by:S = πr(r + s)where s is the slant height of the cone. We can eliminate s by using the Pythagorean theorem: s^2 = r^2 + h^2hence: s = sqrt(r^2 + h^2)
Now, we can substitute this into the surface area formula: S = πr(r + sqrt(r^2 + h^2)) = πr^2 + πr(sqrt(r^2 + h^2))
To minimize the surface area, we need to find the values of r and h that satisfy the volume equation and minimize the surface area equation. We can do this by using the method of Lagrange multipliers. The Lagrangian function is: L = πr^2 + πr(sqrt(r^2 + h^2)) + λ[(1/3)πr^2h - 36] Taking partial derivatives with respect to r, h, and λ and setting them equal to zero gives: 2πr + (πh r)/(sqrt(r^2 + h^2)) + (2/3)πλr^2 = 0πr/(sqrt(r^2 + h^2)) + (1/3)πλr^2 = 0(1/3)πr^2h - 36 = 0 Solving this system of equations gives:r = 1.85 cm h = 4.10 cmλ = 0.57 cm^-1
Therefore, the radius of the paper cup that uses the smallest amount of paper is 1.85 cm. The height of the paper cup that uses the smallest amount of paper is given as 4.10 cm. The radius of the paper cup that uses the smallest amount of paper is found to be 1.85 cm.
To learn more about slant height visit:
brainly.com/question/19863050
#SPJ11
Joseph wants to earn $850 this summer in order to pay for a down payment on a car. His summer break is 6 weeks. He has been offered 3 different jobs.
Which job should he take to earn the $850 quickest? Explain your response.
Working as a cashier in a bookstore that pays $7.50 an hour and he is expected to work 25 hours per week
Working at a summer camp as a camp counselor for a flat rate of $175 per week (the camp is only 4 weeks)
Working as a sales associate at a department store that pays $7.25 an hour with 5% commission on all sales (he is expected to work 20 hours per week and projected to sell $1,350 per week)
B. Which job will not help him get to his goal of $850?
Answer:
A - Sales associate
B - Summer Camp Counselor
Step-by-step explanation:
First, lets look at how much Joseph would averagely earn from each job.
Cashier in bookstore: in 6 weeks he will earn 900
Summer camp counselor: in 4 weeks 700
Sales associate: in 4 weeks he will earn 850
Overall, becoming a Sales associate will allow Joseph to earn his $850 quicker.
B - the Summer Camp Counselor job will not allow Joseph to make $850 because Summer Camp only lasts 4 weeks.