Answer:
X=-8
Step-by-step explanation:
2 #7&"8*_8-*'7&-$(7
X<-8
On the number line, put the dot at -8 and shade to the left.
Identify a pair of overlapping congruent triangles in the
diagram. Then use the given information to write a proof
to show that the triangles are congruent.
Proof
Given: AC = BC, LA = LB
Answer:
overlapping congruent triangles:
ΔACE ≅ ΔBCD
Proof:
given: AC ≅ BC, angle A ≅ angle B
angle ACB ≅ angle BCA by the reflexive property
ΔACE ≅ ΔBCD by the ASA triangle congruence property
The probability that Isabella wins a
certain game of chance is 3/10 th
Isabella plays the game 150 times, how
many times can she expect to win the
game?
Answer:
45 times
Step-by-step explanation:
I hope this helps
Help please!! Ill give 100 points!
Answer:
B)
Step-by-step explanation:
10/5 + 4(72 - 6)
10/5 + 288 - 24 Distribute the 4 to 72 and 6
2 + 288 - 24 Divide
2 + 264 Combine the like terms
262
In a sequence of numbers, the first term is x and each term thereafter is twice the previous term. the fifth term is 160. what is the value of x ?
The value of x in sequence of number is 10.
Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.
What is geometric series?
Geometric series is an infinite series of the form:
\(a+ar+a r^{2} +ar^{3} +..........\)
where r is known as common ratio.
Now, first term is x and each term there after is twice the previous term.
So the series will be;
x , 2x , 4x , 8x, ..........
Clearly this series is geometric series with common ratio 2.
And the nth term of geometric series is \(ar^{n-1}\)
⇒ fifth term is 160
\(ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10\)
Here, first term is x.
The value of x in sequence of number is 10.
Learn more about the geometric series visit:
https://brainly.com/question/24643676
#SPJ1
What is the slope of this non-vertical line?
Answer:
THE SLOPE IS 16
Answer: The slope is 16/1 which is just 16.
Step-by-step explanation:
Jose goes to the bodega. He
buys a soda for $1.50 plus 2
bags of chips.
He spends a total
of $4. How much does 1 bag of
chips cost?
Answer:
1 bag of chips cost $1.25
Step-by-step explanation:
total money spent minus cost of soda = price of 2 bags of chips
$4.00- $1.50 = $2.50
2 bags of chips divided by 2 = price for one bag
$2.50 / 2 = $1.25
25. 0 grams of sodium chloride (NaCl) is dissolved in 100 grams of solution. What is the concentration of the solution in parts per million (ppm)?
The concentration of the sodium chloride solution is 250,000 parts per million (ppm).
To calculate the concentration of the solution in parts per million (ppm), we need to determine the amount of solute (sodium chloride) present in relation to the total solution.
The concentration of a solution is typically expressed as the ratio of the mass of solute to the mass of the solution or the volume of solute to the volume of the solution. In this case, we have 0 grams of sodium chloride dissolved in 100 grams of solution.
To convert this into parts per million (ppm), we need to multiply the concentration by 1,000,000. Since ppm represents one part in a million, it is equivalent to mg/L or µg/g.
Using the given values, we have:
Concentration (ppm) = (mass of solute / mass of solution) * 1,000,000
Substituting the values, we get:
Concentration (ppm) = (0 grams / 100 grams) * 1,000,000
Concentration (ppm) = 0 * 1,000,000
Concentration (ppm) = 0
Therefore, the concentration of the solution is 0 parts per million (ppm), indicating that there is no sodium chloride present in the solution.
Learn more about volume:
https://brainly.com/question/28058531
#SPJ11
Gloria earns $875 a month
babysitting. If she worked 4
hours a day for 25 days this
month, how much did she
make each hour?
Alessia’s salary in 2022 was 26,000 after tax.
She spends 35% of her after tax salary on rent.
The rest is split between food, petrol and entertainment in the ratio 6:11:8
Work out how much alessia spent on entertainment in 2021
Alessia spent $5,408 on entertainment in 2021.
To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.
Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.
Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:
Rent = 35% × $26,000
= $9,100
The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.
To determine the ratio's total parts, we sum the individual parts:
Total parts = 6 + 11 + 8 = 25
Next, we calculate the value of one part of the ratio:
One part = ($26,000 - $9,100) / 25
= $16,900 / 25
= $676
Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:
Entertainment expenditure = 8 × $676
= $5,408
For similar questions on entertainment
https://brainly.com/question/26767445
#SPJ8
Please help finding missing angles
Step-by-step explanation:
(a) a° +60°+35°=180 (sum of angles in a triangle)
a° +95° = 180
a° = 180-95 = 85°
(b) 80°+75°+ b° = ( sum of angles in a triangle )
155°+b° =180°
b= 180-155 =25°
(c) 61°+73°+c° = 180°
134° + c° = 180°
c° = 180-134= 46°
(d) since this is a right angled triangle
d°+ 37° + 90° = 180°
127°+ d° = 180°
d° = 180- 127= 53°
(e) 11°+132° +e° = 180°
143° + e° = 180
e° = 180-143 = 37°
(f) this is also a right angled triangle
44° +f° +90° 180°
134° + f° = 180
f ° = 180° - 144° = 36°
Find the volume of the solid generated by revolving the region bounded by y = x² +1, y = 1 and x = 1 about the line x = 2.
Given, Region bounded by y = x² + 1, y = 1 and x = 1Revolve the given region around the line x = 2We have to find the volume of the resulting solid obtained.Let's plot the given region below.
The given region and the axis of revolution can be seen below: We have to slice the given region perpendicular to the axis of revolution so that we get the discs for each slice.The discs obtained for each slice is shown below:We can write the volume of each disc obtained as:V = πr²hwhere, radius of each disc = (2 - x) and height of each disc = (y₂ - y₁)
When we revolve around the line x = 2, the axis of revolution, then the limits for x are: 1 ≤ x ≤ 2and the corresponding limits for y are: 1 ≤ y ≤ (x² + 1)So, we can write the volume of the resulting solid as:V = ∫₁²π(2 - x)²((x² + 1) - 1) dx= π ∫₁²(4 - 4x + x²)(x²) dx= π ∫₁²(4x² - 4x³ + x⁴) dx= π[4(2/3) - 4(1/4) + (1/5)] (Substitute limits of integration) = π[(8/3) - 1 + (1/5)]= (29π/15)
Therefore, the volume of the solid generated by revolving the region bounded by y = x² +1, y = 1 and x = 1 about the line x = 2 is (29π/15) cubic units.
To know more about Region bounded visit:
brainly.com/question/31464820
#SPJ11
A parallelogram has an area of
102 1/2
square inches , with a height of 10 inches. How many inches long is the base of the parallelogram?
The length of the base of the parallelogram is 10.25 inches.
given that,
the area of parallelogram=102 1/2 square inches
height=10 inches
The following formula determines the area of a parallelogram:
Base + height = area.
The parallelogram's area and height are provided. By entering these values in the above formula we obtain:
102 1/2 = base × 10
We can divide both sides by 10 to find the base:
102 1/2 ÷ 10 = base
By dividing 1 by 2, we may convert the mixed number 1/2 to a decimal:
102 1/2 ÷ 10 = 102.5 ÷ 10 = 10.25
therefore, the length of the base of the parallelogram is 10.25 inches long.
learn more about parallelogram
brainly.com/question/29147156
#SPJ4
una caja de refrescos cuesta 104.40 y esta contiene 24 refrescos ¿m cual es el costo de cada refresco?
El precio de cada refresco es de 4.35$
⭐Explicación paso a paso:
En este caso lo que hay que hacer es el precio unitario de cada refresco.
El precio unitario se obtiene al dividir el total de dinero entre la cantidad de refrescos que trae cada caja:
Precio de cada refresco = Precio total/Cantidad de refrescos
Precio de cada refresco = 104.40$/24
Precio de cada refresco = 4.35$ Por lo tanto, el precio de cada refresco es de 4.35$
a claim that two situations are similar, based on minor similarities between two cases when there are major differences being ignored is a _____.
The claim that two situations are similar, despite major differences being ignored and only minor similarities being emphasized, is a fallacy known as false analogy.
False analogy is a logical fallacy that occurs when two situations are compared based on minor similarities while ignoring significant differences. It involves drawing an invalid or weak comparison between two unrelated or dissimilar things. In this fallacy, the person making the claim assumes that because two situations share some superficial similarities, they must be similar in all aspects. However, this overlooks the fundamental differences that make the situations distinct.
For example, if someone argues that banning the use of plastic bags in a city is similar to banning the use of cars, based solely on the fact that both involve restricting a common item, they would be committing a false analogy. While there may be minor similarities between the two situations, such as the concept of imposing restrictions, there are major differences in terms of environmental impact, necessity, and alternatives. Ignoring these significant differences leads to an invalid comparison and can result in flawed reasoning.
In conclusion, false analogy occurs when two situations are deemed similar based on minor similarities while disregarding major differences. It is essential to carefully evaluate the relevant factors and understand the nuances of each situation before drawing comparisons to ensure logical and valid arguments.
Learn more about fundamental here:
https://brainly.com/question/31801938
#SPJ11
Tamara wants to find the distance from (2, –10) to other points. For which points in the same quadrant as (2, –10) could Tamara use a number line to find the distance? Check all that apply
The points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)
The coordinates of the first point = (2, -10)
Using the number line we can only find the distance when the y coordinates or the x coordinates of the lines are equal
Here the first point is (2, -10)
The next point should be same quadrant, then the x coordinate will be positive and y coordinate will be negative
The points with same x coordinates = (2, -9)
The points with same y coordinates = (10, -10) and (7, -10)
Hence, the points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)
The complete question is
Tamara wants to find the distance from (2, –10) to other points. For which points in the same quadrant as (2, –10) could Tamara use a number line to find the distance? Check all that apply. (10, –10) (3, –2) (2, –9) (7, –10) (9, –2) (10, –2) (12, –1)
Learn more about number line here
brainly.com/question/13189025
#SPJ4
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.
How to represent the inequality?
Here we have the inequality:
–3(2x – 5) < 5(2 – x)
First, we need to isolate x in one side of the inequality, we will get:
-6x + 15 < 10 - 5x
15 - 10 < -5x + 6x
5 < x
Then the solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
What is an equivalent expression for 2^0
Answer:
it is 1
Step-by-step explanation:
anything raised to 0 is 1.
: suppose we are learning a spline with 3 knots, where the complexity of the functions from the leftmost to the rightmost regions are linear, quadratic, cubic, quadratic. what are the total number of parameters in this model?
Given that we are learning a spline with 3 knots, and the complexity of the functions from the leftmost to the rightmost regions are linear, quadratic, cubic, quadratic.
The total number of parameters in this model can be calculated as follows: We know that the leftmost region is linear, which means it can be represented by a line equation which has 2 parameters, i.e., the intercept and slope.
The second region is quadratic, which means it can be represented by a quadratic equation which has 3 parameters, i.e., the intercept, coefficient of linear term and coefficient of quadratic term.The third region is cubic, which means it can be represented by a cubic equation which has 4 parameters, i.e., the intercept, coefficient of linear term, coefficient of quadratic term, and coefficient of cubic term.The fourth region is quadratic again, which means it can be represented by a quadratic equation which has 3 parameters, i.e., the intercept, coefficient of linear term and coefficient of quadratic term.Therefore, the total number of parameters in this model is:2 + 3 + 4 + 3 = 12So, there are 12 parameters in this model.
To know more about linear function visit:
https://brainly.com/question/29205018
#SPJ11
Use the Ratio Test to determine whether the series is convergent or divergent. ∑ n=1
[infinity]
n 2
(−6) n
Identify a n
. Evaluate the following limit. lim n→[infinity]
∣
∣
a n
a n
+1
∣
∣
Since lim n→[infinity]
∣
∣
a n
a n+1
∣
∣
1,
Using Ratio test we can say the series ∑ n=1 to infinity of \(n^2(-6)^n\) is convergent since the limit is less than 1 (specifically, it is equal to 1/6).
To determine whether the series ∑ n=1 to infinity of\(n^2(-6)^n\) is convergent or divergent, we can use the Ratio Test.
First, let's identify a_n, which represents the general term of the series. In this case, a_n =\(n^2(-6)^n.\)
Now, let's evaluate the limit as n approaches infinity of the absolute value of a_n+1 divided by a_n:
lim n→infinity (∣∣a_n+1 / a_n∣∣) = lim n→infinity (∣∣\((n+1)^2(-6)^(n+1) / (n^2\))\((-6)^n\)∣∣)
Simplifying the expression:
lim n→infinity (∣\((n+1)^2(-6)^(n+1) / (n^2)(-6)^n\)∣) = lim n→infinity (∣\((n+1)^2\) / \((n^2)(-6)\)∣∣)
Since the absolute value of -6 is 6, we can further simplify:
lim n→infinity (∣∣\((n+1)^2 / (n^2)(-6)\)∣∣) = lim n→infinity (∣∣\((n+1)^2 / (n^2)(6)\)∣∣)
Now, let's compute this limit:
lim n→infinity \(((n+1)^2 / (n^2)(6))\) = 1/6
Since the limit is less than 1 (specifically, it is equal to 1/6), the Ratio Test tells us that the series is convergent.
Therefore, the series ∑ n=1 to infinity of\(n^2(-6)^n\)is convergent.
Learn more about Ratio test here:
https://brainly.com/question/31700436
#SPJ11
Alex, an eighth grader, and Eric, a seventh grader, need to determine who came closer to their grade’s state record for the triple jump. Alex jumped 39.75 feet and Eric jumped 37 feet and inches. Who was closer to the state record if the eighth-grade record is 42.25 feet and the seventh-grade record is 39 feet 3 inches?
Answer:
✓ 42.25-39.85=2.437+1 1/4= 38.2539.25-38.25=1Eric came closer.\\
Step-by-step explanation:
:]
Answer:
eric came closer
Step-by-step explanation:
The area of the base (B) of a shipping box is 14 1 2 in2. The height (h) of the box is 2 1 4 in. When determining the volume of the box, which statements are correct?
Answer:
\(V = 32\frac{5}{8}in^3\)
Step-by-step explanation:
Given
\(B = 14\frac{1}{2}in^2\) --- Base Area
\(h = 2\frac{1}{4}in\) --- Height
Required
Correct statement to calculate the volume of the box.
No options were given. So, the general explanation is as follows.
Given the base area and the height of the box, the volume is calculated by multiplying the given base area and the height.
So, we have:
\(Volume (V) = Base\ Area * Height\)
\(V = B *h\)
\(V = 14\frac{1}{2} * 2\frac{1}{4}\)
Convert to improper fractions
\(V = \frac{29}{2} * \frac{9}{4}\)
\(V = \frac{29*9}{2*4}\)
\(V = \frac{261}{8}\)
\(V = 32\frac{5}{8}in^3\)
2. What are the zeroes of P(x) = x3 – 6x2 – x +62
-6, -1, 1
A.
C. 6, -1, 1
B. -6, -1, -1
D. 6, 1, 1
Step-by-step explanation:
if u mean (x^3 -6x^2 -x- 6) then the answer is C
(6,-1,1)
..................,..........
but if u mean P(x) = x3 – 6x2 – x +62
then the answer is None of the above
-2.724
4.361+1.9328i
4.361+1.9328i
In Figure 1, the battery inside the flashlight contains energy that is usually stored in the form of________.
A nuclear energy
B mechanical energy
C chemical energy
D heat energy
Answer:
C. chemical energy is what it's stored in the form of
Mary has y yards of fabric. She used 2 yards to sew skirt . She used the remaining fabric to make 5 jackets
b. if she has 17 yards of fabric, how much material was used for each jacket?
Answer:
the answer is 3
Step-by-step explanation:
if she had 17 yards of fabric then subtrct two.
17-2=15
she made 5 jackets
15÷5=3
Find the slope of the line passing through the two points on the line (1,2) and (5,1)
Answer:
slope = - \(\frac{1}{4}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (1, 2 ) and (x₂, y₂ ) = (5, 1 )
m = \(\frac{1-2}{5-1}\) = \(\frac{-1}{4}\) = - \(\frac{1}{4}\)
Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?
The series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E' will be Dilation and Reflection.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
Then the scale factor about the origin is given as,
Scale factor = 2 / 4
Scale factor = 1/2
The reflection does not change the shape and size of the geometry. But flipped the image.
Reflection of the image over the y-axis.
The series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E' will be Dilation and Reflection.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ1
Suppose that the average price for a gallon of gasoline in the Country A is $2.78 and in Country B it is $2.45. Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $0.25 in the Country A and a standard deviation of $0.20 in Country B.(a) What is the probability that a randomly selected gas station in Country A charges less than $2.50 per gallon? (Round your answer to four decimal places.) .1314 (b) What percentage of the gas stations in Country B charge less than $2.50 per gallon? (Round your answer to two decimal places.) .60 X % (c) What is the probability that a randomly selected gas station in Country B charged more than the mean price in the Country A? (Round your answer to four decimal places.) .0495
Answer:
(a) 0.1314(b) 59.87%(c) 0.0495Step-by-step explanation:
Given μA = $2.78, σA = $0.25, μB = $2.45, σB = $0.20, you want ...
p(A < $2.50)p(B < $2.50)p(B > $2.78)ProbabilityThe probabilities of interest are found using the CDF function of a suitable calculator or spreadsheet.
(a) P(A < $2.50) ≈ 0.1314
(b) P(B < $2.50) ≈ 59.87%
(c) P(B > $2.78) ≈ 0.0495
__
Additional comment
We note that you have provided your own answers to these questions. The answer you give for question B is not given as the percentage requested.
<95141404393>
A two-word phrase used to show division in a problem that starts with oc
Answer:
Out of
Step-by-step explanation:
A two-word phrase used to show division in a word problem.
Out of is a two-word phrase which is used to show division in a word problem.
Word problems in mathematics often use words such as divided by, per, average, split into, cut into, quotient of, ratio of to denote division (÷)
square root of (3y-1)2=0
Answer:
0.33333333333
Step-by-step explanation:
(3y-1)2=0
6y-2=0
6y=0+2
6y=2
y=2/6
=1/3
square root=0.33333333333
Can y’all please help me on question 8 please
Answer:
d
Step-by-step explanation: