Answers
See pictures below for the answer! My handwriting isn't that good. Let me know if you can't read it :)
Related Questions
which expression is in simplified form for the given expression and states the correct variable restriction u+3/u^2-9
Answers
(u+3)/(u²-9)
factorizing (u²-9)=(u-3)(u+3)
thus plugging the substitute in the expression we shall have:
=(u+3)[(u-3)(u+3])
=1/(u-3)
Hence the answer is 1/(u-3)
u can take any values except 3.
will give braniliest....... Mom put plums and apples onto a plate. The ratio of the number of plums to the number of apples was 3:2. How many fruit did mom put on the plate, if after Ed took 6 there number of plums on the plate became the same as the number of apples?
Answers
So she would have put 30 fruits (18 plums and 12 apples) on the plate
Hope this helps!
Which pair of triangles can be proven congruent by using the HL theorem?
Answers
Explanation:
The HL theorem is the hypotenuse leg theorem.
The HL theorem is referred to the congruency of right triangles.
This theorem states that two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
Figure A shows the congruency of two pairs of legs. So, this is not the answer.
Figure B shows the congruency of one pair of legs and one pair of angles. So, this is not the answer.
Figure C. shows the congruency of the two hypotenuses and one pair of legs. So, this is the righ answer.
Which description best describes the three-dimensional object that is formed when the segment is rotated about the axis as shown?
an oblique cylinder
a cone with an open base
a triangular prism
a hollow pyramid
Answers
Second option is correct. A cone with open base is formed when the segment is rotated about the axis as shown in figure.
What is solid revolution?A solid revolution is a three dimensional figure obtained by rotating a two-dimensional figure or (curve) around a straight line(called the axis) that lies in the same plane.
According to the question
If we see in the given figure, there is a triangle about a vertical line. As the triangle is revolved about a line, the vertices A and C remain stationary. While the vertex B which follows the path of circle. As the triangle rotates, AB creates the outline of cone.
Hence, Option second is correct i.e. a cone with an open base.
Learn more about the solid revolution here:
https://brainly.com/question/24201856
#SPJ2
Answer: A cone with an open base.
Step-by-step explanation:
The correct answer is a cone with an open base. When this segment is rotated around the axis as shown, the three-dimensional object formed will be a cone with no base. If you imagine mirroring the segment shown, you will create a triangle with no base. Next, if you imagine spinning this triangle around, you will be left with a cone. Since the segment does not connect to the axis at the bottom, the resulting cone will have an open base.
A visual example of a cone is attached below.
In qam with 2 possible amplitudes, how many possible states
Answers
Based on the family the graph below belongs to, which equation could represent the graph
Answers
Answer: Second option y=log(2x)+3
Solution:
Based on the family of graphs shown in the attached file, the equation could represent the graph is y=log(2x)+3
This graph is the graph of the funtion y=log(x) stretched horizontally by a factor of 2 and translated 3 units upward.
You earn $56 for washing 8 cars. How much do you earn for washing 5 cars?
Answers
First find out how much you earn washing one car. Divide 56 with 8
56/8 = 7
You earn $7 for washing 1 car.
Now find out how much you earn washing 5 cars.
7/1 (being $7 per 1 car)
5/5 (amount of cars washed)
7/1 x 5/5 = 35/5
For 5 cars, you earn $35.
$35 is your answer
hope this helps
$56 = 8 cars
$x = 5 cars
Now we can do cross multiply
8 * x = 5 * 56
8x = 280
Now we can divide both sides by 8
8x/8 = 280/8
x = 35
Thus,
You earned $35 for washing 5 cars!
At 0°C, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of the gas increases by 225. Write an equation that represents the volume of the gas in terms of the temperature.
Answers
At temperature [tex]T=1C[/tex], the volume of the gas is (22+225) L.
This means that if we increase the temperature by [tex]k[/tex] degrees:
[tex]T=k^{\circ}C[/tex]
the volume of the gas is
[tex]V=22 + 225 k [L][/tex] (1)
Since T=k, we can rewrite eq.(1) as
[tex]V= 22 + 225 T [L][/tex]
which gives the expression for the volume of the gas in liters, as a function of the temperature T in Celsius.
Answer:
V=2/25T+22
Step-by-step explanation:
What form of a quadratic function would be graphed having the vertex at the same point as the y-intercept
Answers
9514 1404 393
Answer:
a form with no horizontal translation of the parent function
Step-by-step explanation:
If the vertex is the y-intercept, then it has not moved horizontally from its position in the parent function. The form of the quadratic is one without any horizontal translation.
A quadratic function with its vertex and y-intercept at the same point would be in the form f(x) = ax². The coefficients b and c must be zero for the vertex to be at the origin (0,0), and by varying a, we can achieve a vertical stretch or shrink without altering the y-intercept.
The student's question pertains to the graph of a quadratic function with specific conditions on its vertex. If a quadratic function has its vertex at the same point as its y-intercept, then the vertex is located at the origin (0,0), because the y-intercept is the point where the graph crosses the y-axis, and at the vertex, the value of y is at its maximum or minimum depending on the direction of the parabola.
The standard form of a quadratic function is f(x) = ax² + bx + c. For the function to have its vertex at the origin, both b and c would need to be zero, making the function f(x) = ax². This represents a parabola that opens upwards if a is positive, or downwards if a is negative.
To maintain the y-intercept, we must ensure that the transformation applied to the graph, such as a vertical or horizontal shrink, does not alter the location of the vertex. A horizontal shrink is achieved by making a larger absolute value while ensuring that it remains positive or negative in accordance with the original direction of the parabola.
Julia had 2/3 quart of cleaning liquid. She used 1/4 of it to clean the sink. How much cleaning liquid did Julia use?
Answers
That means you have to find 1/4 of 2/3
1/4 × 2/3 = 2/12
2/12 simplified = 1/6
Your answer is 1/6
Hope this helped!
She had 2/3 quart. She used 1/4 of it.
That means you have to find 1/4 of 2/3
1/4 × 2/3 = 2/12
2/12 simplified = 1/6
Your answer is 1/6
Hope this helped!
what is a verbal expression?
Answers
A mathematical verbal expression is a translation into words of an algebraic expression that can consist of different operations, numbers and varibles ur welcome.
For example, the following is a verbal phrase: "John went to the store and bought five apples. Each apple cost $1.25. How much did John spend before tax?" To translate it to a verbal model, the problem solver represents the problem in simplified words that represent the cost of the apple times the number of apples bought. To translate it further to a mathematical phrase, the problem solver puts numbers in the problem: "$1.25 times 5."
after lily's graduation party, 1/2 of of the cake was left. she shared the remaining cake equally with her sister Kayla and her brother Logan. what fraction of the original cake did each of them get?
show all your work please
Answers
1/2 = 50%
50% / 2 = 25%
25%= 1/4
hey can you please help me posted picture of question
Answers
Explanation:
Total outcomes of rolling a die = 6 (as there are six sides)Total outcomes of tossing a coin = 2 (there are two sides)
Total number of possible outcomes of both = 6*2=12 (Option A).
It represents the number of leaves required on the tree diagram.
6.
Valdez Construction signed a note with a payment of $5,200 per quarter for 5 years.
Find the amount they must set aside today to satisfy this capital requirement in an account earning 8% compounded quarterly.
$30,506.32
$126,346.32
$51,054.38
$85,027.44
Answers
A = P [1-(1+R/4)^4n]/(R/4) = 5200 [1-(1+0.08/4)^4*5]/(0.08/4) = $85,027.45
Therefore, Valdez construction should set aside $85,027.44 now to satisfy the capital requirement.
(2x3z2)3
------------------
x3y4z2 * (x-4z3)
Answers
[tex]\dfrac{(2x^{3}z^{2})^{3}}{x^{3}y^{4}z^2x^{-4}z^{3}}=2^{3}x^{(3\cdot3-3-(-4))}y^{-4}z^{(2\cdot3-2-3)}\\\\=\dfrac{8x^{10}z}{y^{4}}[/tex]
Suppose you want to transform the graph of the function y=tan(x+pi/4)-1 into the graph of the function y=-tan(x+pi/2)+1
Answers
In the given equation
+1 will shift the function upward by 1 unit
minus(-) sign will reflect the graph across x_axis
see the attached diagram of -tan(x+π/2) +1
Answer:
A) Reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up
Logarithmic Functions Question, Many Points
I got the first part of this question correct, I believe.
I was supposed to find the graph with a base of 3 (attached), but now I need to justify my answers, which I don't understand. Here are the choices:
The graph of f(x)= log_3 x+c must intersect with the line y= c+1 when x= 3.
The graph of f(x)= log_3 x+c must intersect with the line y= c when x= 3.
The graph of f(x)= log_3 x+c must intersect with the line x= c when y= 3.
The graph of f(x)= log_3 x+c must intersect with the line x= c+1 when y= 3.
Answers
The graph of [tex]f(x)=\log_{3}(x)+c[/tex] must intersect with the line y= c+1 when x= 3.
_____
See the attachment for plots of base-3 logarithms. Note that when [tex]c=1.4[/tex], the value of f(3) is 1 more than the value of [tex]c[/tex].
Given that tan^2 e= 3/8 what is the value of sec e? A. +√8/3 B.+ √11/8 C. 11/8 D. 8/3
Answers
ANSWER
[tex]{ \sec}(e) = \pm \: \sqrt{\frac{11}{8} } [/tex]
EXPLANATION
We use the Pythagorean Identity,
[tex] { \sec}^{2} (e) = 1 + { \tan}^{2} (e)[/tex]
It was given that,
[tex] { \tan}^{2} (e) = \frac{3}{8} [/tex]
We substitute the values into the identity to obtain,
[tex] { \sec}^{2} (e) = 1 + \frac{3}{8} [/tex]
[tex]{ \sec}^{2} (e) = \frac{11}{8} [/tex]
We take square root of both sides to get,
[tex]{ \sec}(e) = \pm \: \sqrt{\frac{11}{8} } [/tex]
Answer:
sec e = √(11/8) ⇒ answer B
Step-by-step explanation:
* Lets revise some identities in trigonometry
# sin²x + cos²x = 1
- Divide both sides by cos²x
∴ sin²x/cos²x + cos²x/cos²x = 1/cos²x
∵ sinx/cosx = tanx
∴ sin²x/cos²x = tan²x
∵ cos²x/cos²x = 1
∵ 1/cosx = secx
∴ 1/cos²x = sec²x
* Now lets write the new identity
# tan²x + 1 = sec²x
- Let x = e
∴ tan²e + 1 = sec²e
- Substitute the value of tan²e in the identity
∵ tan²e = 3/8
∴ 3/8 + 1 = sec²e
- Change the 1 to the fraction 8/8
∴ 3/8 + 8/8 = sec²e ⇒ add the fractions
∴ 11/8 = sec²e
- Take square root for the two sides to find sec e
∴ sec e = √(11/8)
∴ The answer is B
The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 meters. One penguin swims half way around the island before hopping out.
How far did the penguin swim?
Answers
Answer:
10pi
Step-by-step explanation:
The answer is 10pi
The fraction 7/8 is a multiple of what unit fraction?
Answers
[tex]\dfrac{7}{8}=7\times\dfrac{1}{8}[/tex]
The unit fraction is 1/8.
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+ By=C. (3,2) and (5,8)
Answers
equation of the line is given by the formula:
a(x-x1)=y-y1
where a is the slope
a=(y-y1)/(x-x1)
thus using our values:
a=(8-2)/(5-3)=6/2=3
thus the equation of the line will be:
3(x-3)=y-2
simplifying the above and writing in the form of Ax+By=C we shall have:
3x-9=y-2
3x-y=-2+9
3x-y=7
thus 3x-y=7 is in the form of Ax+By=C where A=3, B=-1 and C=7
Find the lengths of the sides of the right triangle?
Answers
The lengths of the sides are:
2x = 12
2x -7 = 5
_____
You can use the Pythagorean theorem to write the relationship between the sides.
(2x)² +(2x -7)² = 13²
4x² +4x² -28x +49 = 169 . . . . . eliminate parentheses
8x² -28x -120 = 0 . . . . . . . . . . . put in standard form
4(2x² -7x -30) = 0 . . . . . . . . . . . factor out 4
(x -6)(2x +5) = 0 . . . . . . . . . . . .. divide by 4 and factor further
x = 6, -5/2 . . . . . . . . . . . . . . . . .. only the positive solution (x=6) is useful
Then 2x = 12; 2x-7 = 5.
Question 21 [t-interval] a random sample of size 18 is drawn from a population that is normally distributed. the sample mean is 58.5, and the sample standard deviation is found to be 11.5. determine a 95% confidence interval about population mean.
a. [52.78,64.22]
b. [53.78,63.22]
c. [53.18,63.81]
d. [54.04,62.96]
Answers
Answer:
Option a. [52.78,64.22]
Step-by-step explanation:
We are given that a random sample of size 18 is drawn from a population that is normally distributed.
Sample mean is 58.5, and the sample standard deviation is found to be 11.5 i.e., X bar = 58.5 and s = 11.5
The pivotal quantity for calculating 95% confidence interval is;
[tex]\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
So, 95% confidence interval about population mean is given by;
P(-2.110 < [tex]t_1_7[/tex] < 2.110) = 0.95
P(-2.110 < [tex]\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.110) = 0.95
P(-2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] < [tex]{Xbar - \mu}[/tex] < 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] ) = 0.95
P(X bar - 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] < [tex]\mu[/tex] < X bar + 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] ) = 0.95
95% confidence interval about [tex]\mu[/tex] = [ X bar - 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] , X bar + 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] ]
= [ 58.5 - 2.110 * [tex]\frac{11.5}{\sqrt{18} }[/tex] , 58.5 + 2.110 * [tex]\frac{11.5}{\sqrt{18} }[/tex] ]
= [ 52.78 , 64.22 ]
Therefore, 95% confidence interval about population mean is [52.78 , 64.22].
A jacket has a regular price of $80. It is on sale for 10% off. The sales tax is 7%. What is the total cost of the jacket including tax?
Answers
Sale Price= Cost - (Cost * Discount %)
Sale Price= $80 - (80 * 10%)
=80 - 8
=$72 sale price
STEP 2:
use sale price from step 1 in this equation
Final Price= Cost + (Cost * Tax %)
Final Price= $72 + (72 * 7%)
= 72 + 5.04
= $77.04
ANSWER: The final price after a 10% discount and 7% sale tax is $77.04.
Hope this helps! :)
Answer:
77.04
Step-by-step explanation:
8.
Howmet Corporation needs $200,000 in 5 years.
Find the required quarterly payment into a sinking fund if funds are invested in an account earning 10% per year compounded quarterly.
$38,050.00
$6,716.00
$32,760.00
$7,830.00
Answers
Fv = 200,000
r = 0.1
n = 5
k = 4 (quarterly)
Pmt=200,000÷(((1+0.10÷4)^(4×5)−1)÷(0.10÷4))=7,829.43
Greg has 8/9 of a small box of cereal. He also has 5/6 of a pint of milk . He needs to pour 2/3 of each into a bowl.
Answers
How much cereal was poured? How much milk was poured?
Solution:
Cereal poured = 2/3 of 8/9 of a small box of cereal = 8/9*2/3 = 16/27 of a small box of cereal.
Milk poured = 2/3 of 5/6 pint of milk = 5/6*2/3 = 5/9 pint of milk
Henry cut a piece of yarn that was 11/6 into two pieces. List to different pairs of fractions that could show the lengths , in feet , of the two pieces.
Answers
3. Jared has two ropes. Each rope is 9 inches long. How many inches of rope does he have in all?
Answers
The length of one rope = 9 in
Number of ropes Jared have = 2.
The total inches of rope does Jared have will be calculated as under -
We can add the length of two ropes as = 9 in + 9 in = 18 in
Or we can do it by other method as well.
The other method is by multiplying -
The total inches of rope does Jared have = The length of one rope × Number of ropes Jared have
The total inches of rope does Jared have = 9 in × 2 ropes = 18 in
Someone please help I only have enough points for one use.
Answers
b . i)6/25 ii) 4/15
I would apprectiate a 5 star review and a Brainliest
What is the area of the rhombus shown below? A. 110.5 square units B. 129.2 square units C. 221 square units D. 15 square units
Answers
the answer is A. 110.5
The area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.
What is a rhombus?A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.
We have a rhombus shown in the picture with dimensions:
As we know,
The area of the rhombus is given by:
A =pq/2
p and q are the lengths of the diagonal of a rhombus.
p = MK = 13 units
q = JL = 17 units
Plug the values in the formula:
A = (13×17)/2
A = 221/2
A = 110.5 square units
Thus, the area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.
Learn more about the rhombus here:
brainly.com/question/22825947
#SPJ5