Answer:
No there is a remainder of -512
Step-by-step explanation:
Divide (x+7) into (x^3 - 3x^2 + 2x - 8)
x^2-10x+72 R -512/(x+7)
According to the Factor theorem, (x+7) is not a factor of f(x) = x^3 − 3x^2 + 2x − 8.
What is remainder theorem?The theorem is as follows: A polynomial f(x) has a factor (x−p) if and only if f(p)=0.
Consider, f(x) = x^3 − 3x^2 + 2x − 8
Here, the expression we have is (x + 7), so we have to find f(-7) in order to check if (x+7) is a factor of f(x) or not
Here, p = −7
Now, lets check
f(−7)=(−343)−3(49)−14−8
f(−7)=−343−147−14−8
f(−7)=−512, which is not equal to 0 .
So, According to the Factor theorem,
(x+7) is not a factor of f(x) = x^3 − 3x^2 + 2x − 8.
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a team won 6 hockey matches and lost 9 matches. what per cent of the matches did the team win
Answer:
66.67%
Step-by-step explanation:
total matches = 9
matches won = 6
percentage = matches won*100/ total matches
percentage = 600/9
= 66.67%
Answer:
40%
Step-by-step explanation:
Wendy described four triangles as shown below: Triangle A: All sides have length 9 cm. Triangle B: Two sides have length 10 cm, and the included angle measures 60°. Triangle C: Two angles measure 50°. Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle? Triangle A Triangle B Triangle C Triangle D
Answer:
The first one
Step-by-step explanation:
because all of the sides have the same measurement.
Answer:
Triangle C
Step-by-step explanation:
Triangle A: All sides have length 9 cm.
By SSS this is a unique triangle.
Triangle B: Two sides have length 10 cm, and the included angle measures 60°.
By SAS this is a unique triangle.
Triangle C: Two angles measure 50°.
This gives us at most SS Similarity, so we do not have a unique triangle. The triangle sides can be any length. This is not unique.
Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle?
This gives us ASA, so we have a unique triangle.
Answer: Triangle C
PLSSSS HELP ASAPPPP Which is the graph of g(x) = [X +3]
Answer:
the last one
Step-by-step explanation:
the image of [0.1] is 1 using X and now it's X+3
so the image will be 4
Answer:
Last graph, 4, D
Step-by-step explanation:
g(x) = [X +3] is the graph we're looking for
g(x) = X would be a straight line with an equation of y=1x+0 and a slope of 1
So
g(x) = [X +3] would be adding 3 to the vertical asymptote of g(x)
or it would look like
y=1x+3
so the answer to this would be the line that has y = x+3
So the last one
find the length of the diagonal of a rectangle whose length is 15 cm and breadth is 8cm
Answer:
I hope it will help you......
Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x. x 1 2 3 4 5 6 7 f(x) One-fourth StartFraction 1 Over 16 EndFraction StartFraction 1 Over 64 EndFraction ? StartFraction 1 Over 1024 EndFraction StartFraction 1 Over 4096 EndFraction StartFraction 1 Over 16,384 EndFraction a. StartFraction 1 Over 256 EndFraction c. StartFraction 1 Over 84 EndFraction b. 256 d. StartFraction 1 Over 512 EndFraction Please select the best answer from the choices provided A B C D
Answer:c
Step-by-step explanation
Answer:
the Answer is A
Step-by-step explanation: took the test
Solve the system of equations by graphing the equations y=x+2 and y=3x-2 (show work plz )
Answer:
(2, 4)
Step-by-step explanation:
You can use a graphing calculator, and find the point where the lines intersect. Attached is the image.
Hope this helps! :)
please helpppppp please help please hellpppp
Which interval for the graphed function has a local
minimum of 0?
O [-3, -2]
O (-2, 0]
O [1, 2]
O [2,4]
You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
y = -2x + 4
6x + 3y =
a. -12
b. -4
c. 4
d. 12
Answer:
d. 12
Step-by-step explanation:
if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.
If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.
Answer: its d, 12
Step-by-step explanation:
PLEASE HELP!!
Suppose f(x)=x^2. What is the graph of g(x)=f(3x)
Answer:
B
Step-by-step explanation:
We begin with the given function [tex]f(x)=x^2[/tex]
To find [tex]g(x)[/tex], we can plug [tex]3x[/tex] into the function [tex]f(x)=x^2[/tex]
[tex]f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2[/tex]
Now that we know the equation of [tex]g(x)[/tex], we can find the graph that is equivalent to it.
The only graph that is even close to the function [tex]g(x)=9x^2[/tex] is B, so that is our answer.
2 Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She
decides to keep two boxes for herself. She brings 60 cookies to the party. Which equation
can be used to find the number of boxes, x, Kendal bought?
1) 2x - 12 - 60
3) 12x - 24 - 60
2) 12x-2-60
4) 24 - 12x - 60
Answer:
Hey there! The answer to your question will be below.
Step-by-step explanation:
The correct answer to your question is 12x - 24=60
So we know that 12x will be the number of cookies.
It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.
Here is the work:
12 (x-2)= 60
12x-24=60
So the answer should be 12x -24 = 60
Hope this helps!
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plz give me correct answer and no spammng,alphabets,links,website,sorry,i don't know,have a great day,plz appreciate my work then I will answer if done immediatly reported also only answer if you have done this before or just ask your parents that is your answer correct
If x, y, z, are integers such that 2^x*3^y*7*z=329, Then what is x, y, and z? PLZZZZ HELP THANK YOU
Answer:
[tex]\boxed{\sf \ \ \ 2^0*3^0*7*47=329 \ \ }[/tex]
Step-by-step explanation:
hello,
let's try to divide by 7 329 it comes
329 = 47 * 7
and 329 is not divisible by 2 or 3 so
the solution is
x = 0
y = 0
z = 47
[tex]2^0*3^0*7*47=329[/tex]
hope this helps
use the scale factor 1 : 3 and a proportion to find the length of ST ???
Answer:
ST is 5
Step-by-step explanation:
Divide the larger triangle's BC by 3.
When she subtracts 4 from both sides, 1/2x=-1.2x result.What is the value of x
what is the value of 4y when y= - 3
Answer:
-12
Step-by-step explanation:
We just plug in -3 and multiply.
4y
= 4(-3)
= -12
Hope this helped!
what is the volume of a cone with a radius of 4 cm and a height of 5 cm help
Answer:
83.80 cm³
Step-by-step explanation:
volume of cone=
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
1/3×22/7×4×4×5=1760/21= 83.80 cm³
The local high school hosted a hockey tournament. Tickets were sold before the tournament and at the door. When reviewing the ticket sales, the director of the tournament realized that there were 80 more tickets purchased before the tournament than at the door. A total of 820 tickets were sold. Which statements about ticket sales are true
Answer:
380 tickets were sold at the door and 440 tickets were sold before
Step-by-step explanation:
x = tickets sold before
y = tickets sold at the door
x + y = 820
x = y + 80
y + 80 + y = 820
-80 -80
2y = 740
y = 370
820 - 380 = 440
x = 440
Sammy has 34 pizzas. He gave 4 to his colleagues at work and the rest he brought home to deliver to three separate parties. How many pizzas did Sam bring to each party?
Answer:
Sammy delivered 10 pizzas to each party.
Step-by-step explanation:
34 pizzas - 4 pizzas
= 30 pizzas
30 pizzas/ 3 parties
= 10 pizzas per party
Answer:
Hey there!
Sammy delivered four to his colleagues. Thus, he has 34-4, or 30 pizzas left.
He split these between three parties, thus each party received 10 pizzas.
Hope this helps :)
what is the result of dividing 48a^3 + 32a^2 + 16a by 4a? A. 12a^2 + 8a + 4 B. 12a^2 + 4a + 8 C. 12a + 8 D. 12a^2 + 4a + 4 Simplify (2x-2y)(2y+8)=? A. 4xy-4y^2 B. 4xy-16x-4y^2-16y C. 4xy+16x-4y^2-16y D. 4xy+16x+4y^2+16y Simplify (-8q^3r^4s^2)^2=? A. 64q^9r^16s^4 B. -64q^6r^8s^4 C. 64q^6r^8s^4 D. -64q^9r^16s^4 What is the result if you divide -12x^8y^8 by 3x^4y^2? A. -4x^4y^6 B. 4x^2y^4 C. 4x^4y^6 D. -4x^2y^4
Answer:
1. A. 12a^2 + 8a + 4
2. C. 4xy+16x-4y^2-16y
3. C. 64q^6r^8s^4
4. A. -4x^4y^6
Step-by-step explanation:
48a^3 + 32a^2 + 16a / 4a = (48a^3) / 4a + (32a^2) / 4a + (16a) / 4a = 12a^2 + 8a + 4.
So, the answer is A. 12a^2 + 8a + 4.
(2x-2y)(2y+8) = 4xy - 4y^2 + 16x - 16y.
So, the answer is C. 4xy+16x-4y^2-16y.
(-8q^3 * r^4 * s^2)^2 = (-8)^2 * q^6 * r^8 * s^4 = 64q^6r^8s^4.
So, the answer is C. 64q^6r^8s^4.
-12x^8y^8 / 3x^4y^2 = (-12 / 3) * (x^(8 - 4)) * (y^(8 - 2)) = -4x^4y^6.
So, the answer is A. -4x^4y^6.
Hope this helps!
Jill works as a lifeguard at a swimming pool. Last week, she worked for 32.65 hours. How many hours and minutes is this?
Answer:
32 hours and 65 minutes
Step-by-step explanation:
Answer:
The Answer is 33 hours and 5 minutes
Step-by-step explanation:
The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min
intro to geometric sequences (help pls)
Answer:
Option B
Step-by-step explanation:
The formula for geometric sequence is given by:
[tex]a_{n} = a_{1}r^{n-1}[/tex]
Where,
[tex]a_{n}[/tex] = nth term of sequence
[tex]a_{1}[/tex] = 1st term of the sequence
[tex]r[/tex] = common ratio (ration of the second term to the first term)
So,
Here:
[tex]a_{1}[/tex] = 12
[tex]r[/tex] = 6/12 = 1/2
Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:
=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]
Which sets of values can be the measures of the exterior angles of a triangle? 120°, 110°, 130° 35°, 103°, 122° 123°, 87°, 220° 120°, 120°, 120° 123°, 157°, 90°
Answer:
The values are :
we khow that the sum of a triangle angles is 180° the sum of each set exterior and interior angle is 360° so 360+360+360-180 = 900 is the sum of exterior angles of a triangle we can see no set can satisfy this condition
Answer:
The sum of the interior angles of any polygon is (n-2)*180° (n being the number of sides) so for a triangle the sum of the interior angles is 180°. The sum of the interior and exterior angles is also 180°. To work out which sets are possible you subtract each number from 180° and then add all three answers together. If you get 180° then that set of numbers is possible. Using this method, you will find that the following sets can be the measures of the exterior angles of a triangle:
120°, 110°, 130°
120°, 120°, 120°
Step-by-step explanation:
Camila tried to shade only composite numbers on the hundred chart. What mistake did Camila make?
Answer:
B. 29 is prime, not composite
Step-by-step explanation:
A composite number, by definition, is any positive integer of which can be formed by the product of two or more numbers, and the integer must not be a prime number.
29 is a prime and not a composite number because it is only divisible by 1 and itself.
This is not same for 39 and 49.
39 can be divisible by 3, and 13, other than 1 and 39.
49 can be divisible by 7, other than 1 and itself.
Therefore, Camila made a mistake by shading 29 as a composite number.
The answer is: "B. 29 is prime, not composite".
Imagine you are standing near a large rectangular pool and your friend asks you how far you think it is from one corner of the pool to the other, the long (diagonal) way. Explain how you could calculate that length (without getting wet) by only measuring the length and width of the pool. Then, make up a length and width (ex. 3 ft. by 4ft... etc.)... and perform the calculations to get the diagonal!
Answer:
See explanation below.
Step-by-step explanation:
A right triangle is a triangle that has a right angle (90º). In math, the Pythagorean theorem allows us to calculate the length of the sides of a right triangle.
In a right triangle, the legs are the two sides that meet at the 90º angle and the hypotenuse is the side that opposes the right angle. The Pythagorean Theorem tells us that the square of the hypotenuse equals the sum of the squares of the legs. In other words: [tex]c^2 =a^2 +b^2[/tex] where c is the hypotenuse and a and b are the legs.
Now, we can use this formula to calculate the diagonal of the pool if we just have the length and the width (these would be the legs of the triangle). We need to measure both the length and the width and then square both of them and sum up the squares: this would give us the square of the diagonal so we will only need to find its quadratic root and we will have the length of the diagonal.
For example, let's say we have a pool that is 3 ft by 4ft, using the formula we have:
[tex]Diagonal^2=3^2 +4^2 \\Diagonal^2 = 9+16\\Diagonal^2 = 25\\Diagonal = \sqrt{25} \\Diagonal =5[/tex]
Therefore, in this case the diagonal would be 5 ft long.
Answer:
a
Step-by-step explanation:
please help ! As an estimation we are told £3 is €4. Convert £64.60 to euros. Give your answer rounded to 2 DP.
Answer:
€86.13
Step-by-step explanation:
The computation is shown below:
According to the given question
The estimation we told is
£3 = €4
£ reflects the sign of the pound and "€" reflects the sign of Euro.
Therefore we apply the estimation we get
£1 = €
Now multiply both sides by 73.50.
£64.60= €
£64.60 = €
Therefore, the estimated value of £64.60 is €86.13 (£64.60 × 4 ÷ 3)
Please help find the measure of the arc
Answer: 214
Step-by-step explanation:
The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]
arc EDF measures is 214°
What is arc?The arc is a portion of the circumference of a circle
The circumference of a circle measures 360°,
Since minor arc EF measures 146°,
arc EDF measures = 360°-146° = 214°
Hence, arc EDF measures is 214°
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The world's oceans hold roughly 1.4 x 109 cubic kilometers of water. A typical bucket holds roughly 20,000 cubic centimeters of water. If there are 1015 cubic centimeters in a cubic kilometer, how many bucketloads would it take to empty the world's oceans?
Answer:
It'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean
Step-by-step explanation:
Given
[tex]World\ Ocean: 1.4 * 10^9 km^3[/tex]
[tex]Bucket: 20,000 cm^3[/tex]
[tex]1 km^3 = 10^{15} cm^3[/tex]
To get the number of bucket loads, we simply divide the size of the ocean by the size of the bucket;
[tex]Number = \frac{Ocean\ Size}{Bucket\ Size}[/tex]
[tex]Number = \frac{1.4 * 10^9 km^3}{20,000cm^3}[/tex]
Expand the numerator
[tex]Number = \frac{1.4 * 10^9 * 1km^3}{20,000cm^3}[/tex]
Recall that [tex]1 km^3 = 10^{15} cm^3[/tex]
So, the expression becomes
[tex]Number = \frac{1.4 * 10^9 * 10^{15} cm^3}{20,000cm^3}[/tex]
Simplify the numerator using laws of indices
[tex]Number = \frac{1.4 * 10^{9+15} cm^3}{20,000cm^3}[/tex]
[tex]Number = \frac{1.4 * 10^{25} cm^3}{20,000cm^3}[/tex]
Expand the denominator
[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10,000cm^3}[/tex]
[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10^4\ cm^3}[/tex]
Split fraction
[tex]Number = \frac{1.4}{2} * \frac{10^{25} cm^3}{10^4\ cm^3}[/tex]
[tex]Number = 0.7 * \frac{10^{25}}{10^4\ }[/tex]
Simplify fraction using laws of indices
[tex]Number = 0.7 * 10^{25-4}[/tex]
[tex]Number = 0.7 * 10^{21}[/tex]
[tex]Number = 7 * 10^{20}[/tex]
Hence, it'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean
efore the overtime rule in a football league was changed, among 400 overtime games, 194 were won by the team that won the coin toss at the beginning of overtime. Using a 0.10 significance level, use the sign test to test the claim that the coin toss is fair in the sense that neither team has an advantage by winning it. Does the coin toss appear to be fair?4
Answer:
The coin toss does not appear to be fair
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 400[/tex]
The number of game won by team that won the coin toss at the beginning of overtime [tex]x = 194[/tex]
The level of significance is [tex]\alpha = 0.10[/tex]
The population proportion is evaluated as
[tex]p = \frac{194}{400}[/tex]
[tex]p = 0.485[/tex]
Since the population proportion is 0.485 [tex]\approx[/tex] 0.5 which implies that the coin toss is fair then
The Null hypothesis is
[tex]H_o : p = 0.485[/tex]
and The Alternative hypothesis is
[tex]H_a : p \ne 0.485[/tex]
The test statistics is evaluated as follows
[tex]t = \frac{[x + p] - [\frac{n}{2} ]}{\frac{\sqrt{n} }{2} }[/tex]
substituting values
[tex]t = \frac{[194 + 0.485] - [\frac{400}{2} ]}{\frac{\sqrt{400} }{2} }[/tex]
[tex]t = -0.5515[/tex]
=> [tex]|t| = 0.5515[/tex]
now the critical value of [tex]\alpha[/tex] for a two tail test(it is two tailed because we are test whether the critical value is less than or greater than the test statistics ) is
[tex]t_{\alpha } = 1.645[/tex]
This is usually found from the critical value table
Now comparing the critical values and the calculated test statistics we see that the critical value is greater than the test statistics hence the Null hypothesis is rejected
This means that the coin toss is not fair
weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probability that a worker selected at random makes between $350 and $400.
Answer:
0.34134
Step-by-step explanation:
In other to solve for this question, we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
From tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134
Answer:
34%
Step-by-step explanation:
Acellus sux