Answer:
Step-by-step explanation:
5t² + 4t = 5t² + 4 if and only if t=1.
A zero coefficient makes the value of the term equal to zero.
Answer: 5t to the second power and 5t to the second power. I don't know the answer to b.
Step-by-step explanation:
5x³y³z³×6a³x³z²
Find the product
Find the midpoint of the line segment with endpoints (7, -12) and (-5, -15).
Answer:
The midpoint is (1,-13.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(7+-5) /2 = 2/2 =1
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(-12+-15) /2 = -27/2 =-13.5
The midpoint is (1,-13.5)
Z = { x:x is an integer, x ≥ - 3 and x ≤ + 3}
Answer:
If this is asking for the set:
Z = {-3, -2, -1, 0, 1, 2, 3}
Step-by-step explanation:
Z is the set of all integers and it appears that you are being asked for the values in the set Z that are within the range: -3 ≤x ≤ 3
Quanto é 7 × 5/2????
Plz help me find x and show work
Answer:
9^2 + 12^2 = x^2
81 + 144 = 225
225 ÷ 15 = 15
the answer for this question is 15
Step-by-step explanation:
The null hypothesis and the alternate hypothesis are: H0: The frequencies are equal. H1: The frequencies are not equal. Category f0 A 10 B 30 C 30 D 10 State the decision rule, using the 0.05 significance level. (Round your answer to 3 decimal places.) Compute the value of chi-square. (Round your answer to 2 decimal place.) What is your decision regarding H0
Answer:
Reject H0
Step-by-step explanation:
Given :
H0: The frequencies are equal. H1: The frequencies are not equal
Category f0 A 10 B 30 C 30 D 10
Total f0 = (10 + 30 + 30 + 10) = 80
Expected frequency is the same for all categories :
Expected frequency = 1/4 * 80 = 20
χ² = Σ(observed - Expected)² / Expected
χ² = (10-20)^2 / 20 + (30-20)^2 /20 + (30-20)^2 / 20 + (10-20)^2 / 20
χ² = (5 + 5 + 5 + 5) = 20
Pvalue = 0.00017
Pvalue < α
4. Construct a quadrilateral ABCD in which AB=BC=3.5cm, AD=CD= 5.2 cm and ^ABC= 120°.
9514 1404 393
Explanation:
The attachment shows such a construction. Here are the steps.
1. Draw circle B with radius 3.5 cm
2. Mark a point X on the circle and draw circle X with the same radius. Mark the intersection points of circles B and X as points A and C.
3. Draw circles A and C with radii 5.2 cm. Mark the intersection point as point D so that X is on segment BD.
4. Finish by drawing kite ABCD.
I need help solving this problem
Answer:
300
Step-by-step explanation:
The shiny silver mouse has a population mean size of 8.3 cm and and a population standard deviation of 1.2 cm. If one individual is sampled from the population what is the probability that it will be greater than 9 cm
Answer:
41.67%
Step-by-step explanation:
[tex]Z = \frac{x-\alpha}{\sigma}[/tex] 9-8.3 = 0.7/1.2 = 0.5833 1-0.5833 = 0.4167*10 = 41.67%
The probability of the individual sample which is greater then 9 cm is 0.2799601 .
What is probability?
'Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the total number of cases possible.'
According to the given problem,
μ = 8.3 cm
σ = 1.2 cm
X ≈ N[tex](0,1)P(X < x )[/tex]
= P(Z = X - μ / σ)
here , X ≈ N (8.3 , [tex](1.2)^2)P(X > 9)[/tex]
= P[tex](Z > \frac{9-8.3}{1.2})[/tex]
⇒ P[tex](Z>0.583333)[/tex]
⇒ 1 - P[tex](Z<0.583333)[/tex]
⇒ 1 - 0.7200399 [ for greater surface area of the bell-curve ]
⇒ 0.2799601
Hence, we can conclude, the probability of individual sample is 0.2799601 .
Learn more about the probability here :brainly.com/question/23211929?#SPJ2
Aaron surveyed a group of students about the number of pets they own. He recorded the data in the dot plot below.
Answer:
Step-by-step explanation:
18, count the dots. The number line aka 0-7 is just showing the number of possible pets a person could have
The diameter of a circle is 10 meters what is the angle of an arc 3pie meters long
Answer:
10 meaters yes these answer is correct
Suppose an annuity pays 6% annual interest, compounded semi-annually. You invest in this annuity by contributing $4,500 semiannually for 6 years. What will the annuity be worth after 6 years?
Answer:
$3240
Step-by-step explanation:
hope it is well understood
Answer: 59300
Step-by-step explanation:
If f (x) = x^2+8 then what is f (x+2)?
Answer: [tex]x^2+4x+12[/tex]
Step-by-step explanation:
[tex]f(x)=x^2+8\\f(x+2)=(x+2)^2+8\\f(x+2)=x^2+4x+4+8\\f(x+2)=x^2+4x+12[/tex]
Michael invest $P at a rate of 3.8% per year compounded interest. After 30 years the value of this investment is $1,469. Calculate the value of P.
Answer:
Step-by-step explanation:
The formula for this is
[tex]A(t)=P(1+r)^t[/tex] and we have everything but the P. Filling in:
[tex]1469=P(1+.038)^{30[/tex] and
[tex]1469=P(1.038)^{30[/tex] and
1469 = P(3.061403718) so
P = 479.85
What is the value of n?
4/5 < n/7 < 8/9
( n has to be greater than 4 but less than 8 )
Answer:
n = 6
Step-by-step explanation:
If n/7 < 8/9, then n/7 < 1
n/7 < 1
n < 7
That leaves us with 5 and 6. With this, we use trial and error.
4/5 > 5/7 (not we want)
4/5 < 6/7 (what we want)
The answer is 6/7 or n = 6
Write each question as a single logarithm (Picture attached)
Answer:
a.
[tex] log_{5}( {u}^{3 \times {v}^{4} } ) [/tex]
b.
[tex] ln( \frac{1}{( {x}^{2} - 2x + 1 } ) [/tex]
c.
[tex] log_{2}(x { \sqrt{3x - 2} }^{4} ) [/tex]
A research center conducted a telephone survey of 2,000 adults to learn about the major economic concerns for the future. The survey results showed that 1,620 of the respondents think the future health of Social Security is a major economic concern. (a) What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern
Answer:
0.81
Step-by-step explanation:
Find the point estimate by dividing the number of respondents that thought it was a major economic concern by the total number of people in the survey:
1,620/2,000
= 0.81
So, the point estimate is 0.81
Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced tea with 909090 tea bags. What will Kermit think of Peggy's iced tea?
A. It is too strong.
B. It is too weak.
C. It is just right.
Answer:
C. It is just right
Step-by-step explanation:
Kermit's Favorite iced tea:
Tea bags = 15
Water = 2 liters
Ratio of tea bags to water = 15 : 2
= 15/2
= 7.5
Peggy:
Tea bags = 90
Water = 12 liters
Ratio of tea bags to water = 90 : 12
= 90/12
= 7.5
C. It is just right
Kermit would think of Peggy's iced tea is just right
Answer:
c
Step-by-step explanation:
Ross resides in an apartment where houses are arranged horizontally. She resides at door number 3.if she want to visit her friend Martha at door number 7, how many house should she Cross?
Answer:
3 doors if we are excluding her own. 4 if we are not.
4, 5, 6. she does not pass 7, she enters 7.
3, 4, 5, 6. it could be argued she must first pass her own door.
that context changes the answer.
In a certain armithmetic sequence , if -4 is the first term , and 10 is the third term, which term is 157?
Answer:
157 is the 24th term.
Step-by-step explanation:
We are given that in an arithmetic sequence, -4 is the first term and 10 is the third term. And we want to find the term number of 157.
Recall that the direct formula for an arithmetic sequence is given by:
[tex]\displaystyle x_n=a+d(n-1)[/tex]
Where n is the nth term, a is the initial term, and d is the common difference.
We know that the initial term a is -4. Hence:
[tex]x_n= -4 + d(n-1)[/tex]
Since 10 is the third term, n = 3:
[tex]\displaystyle x_{3}=10=-4+d(3-1)[/tex]
Solve for the common difference:
[tex]14=2d\Rightarrow d=7[/tex]
Hence, our direct formula is:
[tex]\displaystyle x_n=-4+7(n-1)[/tex]
To find the term number of 157, let 157 equal xₙ and solve for n. Hence:
[tex]\displaystyle (157)=-4+7(n-1)[/tex]
Therefore:
[tex]\displaystyle \begin{aligned} 161 &= 7(n-1) \\ 23 & = n-1 \\ n &= 24\end{aligned}[/tex]
157 is the 24th term.
(ax=1/2x)+((-3/5)+21/5
can someone help me really please really need help please don't understand
9514 1404 393
Answer:
2/83/5Step-by-step explanation:
1. The denominator of a fraction indicates how many (equal) pieces a quantity is divided into. When that quantity is 1 cake, and it is divided into 8 equal pieces, each piece is 1/8 of the cake, and there are 8 pieces, or 8/8 of the cake altogether. 8/8 = 1 entire.
When 2/8 of the cake is eaten, there are 8-2 = 6 pieces left, or 6/8 of the cake remains.
When an additional 4/8 of the cake is eaten, there are 6-4 = 2 pieces left, or 2/8 of the cake remains.
__
The fraction 2/8 can be written as the product of fractions ...
[tex]\dfrac{2}{8}=\dfrac{1\cdot2}{4\cdot2}=\dfrac{1}{4}\cdot\dfrac{2}{2}[/tex]
We know that 2/2 = 1, and anything times 1 is that same thing, so the fraction 2/8 can be "reduced" to its equivalent, 1/4.
[tex]\dfrac{2}{8}=\dfrac{1}{4}\cdot1=\dfrac{1}{4}[/tex]
As far as we can tell, this question does not ask you to reduce the fraction. Since we're counting 1/8 cake slices, and there are 2 remaining, it is reasonable to leave the fraction as 2/8.
____
2. The given fractions are 1/5 pound, so it is reasonable to think of the whole weight of the 1-pound box as 5/5 pound. Two parts are 1/5 pound each, so the part remaining after considering those is ...
5/5 - 1/5 - 1/5 = (5 -1 -1)/5 = 3/5
The third item in the box is 3/5 pound.
Give the properties for the equation x2 + y2 + 8x - 2y +15 = 0
Radius √2 4 2
Answer:
ind the center and radius of the sphere: x2 + y2 +z2-8x + 2y + 62+1 0 2) Find an equation of the sphere that passes through the point (6,-2, 3) and has center (-1,2, 1). Find the curve in which the sphere from #2 intersects the yz-plane. For #4-11, u : ? + j-2k 4) 2u +3v 5) Iv 6) uv and v-3i-2j + k 8) Ivxu 9) comp,v 10) proju 11) Find the angle between u and v 12) Find the scalar triple product of a, b, and c. If a (3, 1,2), b (-1,1,0), and c (0,0,-4) 13) Find the values of x such that (3,2, x) and (2x, 4, x) are orthogonal 14) Find two unit vectors that are orthogonal to both j + 2k and i-2j+3k 15) Find the acute angle between two diagonals of a cube 16) Find a vector perpendicular to the plane through the points A(1,0,0), B(2,0,-1) and C(1,4,3) 17) Find parametric equations for the line through (4,-1, 2) and (1, 1, 5) 18) Find parametric equations for the line through (-2, 2, 4) and perpendicular to the plane 2x-y+5z 12 19) Find an equation of the plane through (2, 1,0) and parallel to x + 4y -3z 1 20) Find an equation of the plane through (3, -1, 1), (4, 0, 2), and (6, 3, 1). 21) Show that the planes x y-z 1 and 2x 3y + 4z 5 are neither parallel nor perpendicular. Find the angle between the planes.
Which triangle is △ABC similar to and why?
△ABC is similar to △DEF by AA Similarity Postulate.
△ABC is similar to △GHI by AA Similarity Postulate.
△ABC is similar to △JEL by AA Similarity Postulate.
△ABC is not similar to any of the triangles given.
NOTE: Figures are not drawn to scale.
Answer:
Question. Which triangle is △ABC similar to and why?
Answer.△ABC is similar to △JEL by AA Similarity Postulate.
Answer:
△ABC ≈△JEL
Step-by-step explanation:
△ABC is similar to △JEL by AA Similarity Postulate. (final answer)
Write the equation of the line in fully simplified slope-intercept form.
Step-by-step explanation:
y — yı = m(x – xı) equation of a line
Points A(1,3) and B(2,1)
Slope (m) = (y2 – y1) / (x2 – x1)
(1 –3) / (2 – 1)
–2/1
–2
Thus, y –3 = –2 (x – 1)
y – 3 = –2x + 2
y –3 + 3 = –2x + 2 + 3
y = –2x + 5
Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.) f(x, y, z) = yz + xy; xy = 1, y^2 + z^2 = 25
Answer:
pls post pic of question can't understand ur question
HELP ASAP! I have completed everything except for the last box. Can someone please help me on the last box. Thank you for your help!
Answer:
2.35%
Step-by-step explanation:
According to the Empirical Rule,
71 - 79 and 79 - 87 are each 34% of the graph.
63 - 71 and 87 - 95 are each 13.5% of the graph.
55 - 63 and 95 - 103 are each 2.35% of the graph.
Hope this helps.
Match each scenario with the type of correlation it shows
find two factors of the first number such that their product is the first number and their sum is the second number. 24,10
Answer: the numbers are 6 and 4.
Step-by-step explanation: 6 times 4 equals 24
6 plus 4 equals 10
please help will give brainliest and points
i need this by tomorrow pleaseeee
Answer:
Step-by-step explanation:
Angle 1 and angle 2 are remote interior angles of angle 6 because angles 1 and 2 are on the inside and it is remote and across from angle six. You can also see this where angle 1 and angle 3 are remote interior angles of angle 5
So in turn angles 2 and 3 are remote interior angles of angle 4 for the same reasoning.
