Answer:
105.5 degrees
Step-by-step explanation:
Quadrilaterals always equal 360 degrees total
You already have 101 degrees + 48 degrees = 149 degrees
So take the 149 degrees away from 360 degrees: Now you have 211 degrees
Angles 1 and 2 have the same angle, as indicated by their matching line
So divide 211 degrees by 2, which = 105.5 degrees
To furnish a cafeteria, a school can spend $5200 on tables and chairs. Tables cost $200 and chairs cost $40. Each table will have 8 chairs around it. Write and solve a system of equations for x and y. How many tables and chairs will the school purchase?
The number of tables is 100 and the number of chairs purchased is 800.
Given,
In the question:
To furnish a cafeteria, a school can spend $5200 on tables and chairs. Tables cost $200 and chairs cost $40. Each table will have 8 chairs around it.
To write and solve a system of equations for x and y and how many tables and chairs will the school purchase?
Now, According to the question:
We need to form an equation from this given information and solve it for x to find the number of tables and chairs that the school will purchase.
The number of tables is x, so number of chairs is 8x
Total cost of tables=200x
Total cost of chairs=40 × 8x=320x
Total expenditure=200x + 320x=520x
520x = 5200
x = 100
Therefore, the number of tables is 100 and the number of chairs purchased is 800.
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WILL GIVE BRAINLIEST
Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 325. She is able to babysit to earn extra money and that function would be a(x) = 5(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two and describe any simplification that can be done
To create a function that combines the two scenarios, we need to add the amount of money you earn from babysitting to the amount of money you have in your suitcase. We can represent this with the following function:
f(x) = s(x) + a(x)
Where f(x) represents the total amount of money you have after x hours of babysitting. We substitute s(x) with the given function, s(x) = 325, and a(x) with the given function, a(x) = 5(x-2):
f(x) = 325 + 5(x-2)
Simplifying this expression, we can distribute the 5 to get:
f(x) = 325 + 5x - 10
And then combine the constant terms:
f(x) = 315 + 5x
So the function that combines the two scenarios is f(x) = 315 + 5x. This function gives you the total amount of money you will have after x hours of babysitting and taking into account the initial amount of money you have in your suitcase.
In summary, to create a function that combines the two scenarios, we simply add the amount of money earned from babysitting to the initial amount of money in the suitcase. The function f(x) = 315 + 5x represents this total amount of money.
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Johnny woke up at 7:58 A.M. He brushed his teeth, ate breakfast, and got dressed. He was finished at 8:48 A.M. How long did it take Johnny to get ready for school?
Consider a population of wildflowers in which the frequency of the red allele cr is p = 0.7.
The wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.
The frequency of the white allele (CW) in the population can be determined by subtracting the frequency of the red allele (CR) from 1, since the frequencies of all alleles in a population must add up to 1.
So, the frequency of the white allele (CW) can be calculated as follows:
CW = 1 - CR
Given that the frequency of the red allele (CR) is p = 0.7, we can substitute this value into the equation:
CW = 1 - 0.7
= 0.3
Therefore, the frequency of the white allele (CW) in this population is 0.3.
In genetic terms, alleles are alternative forms of a gene, and the frequencies of different alleles within a population can be used to study genetic variations. In this case, we are considering a population of wildflowers and examining the frequencies of the red allele (CR) and white allele (CW).
The total frequency of alleles in a population is always 1 since each individual carries two alleles (one from each parent). Therefore, the frequency of the white allele can be obtained by subtracting the frequency of the red allele (0.7 or 70%) from 1. This is because the sum of the frequencies of all alleles must equal 1.
By performing the calculation, we find that the frequency of the white allele in this population is 0.3 or 30%.
This means that among the wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.
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Complete Question
Consider a population of wildflowers in which the frequency of the red allele CR is p = 0.7.
What is the frequency of the white allele (CW ) in this population?
3 folders cost $2.91. How much do 2 folders cost? Provide explanation.
I don’t understand how to rearrange formulas pls help
Answer:
Last option i.e M= Fr²/Gm
The union of two sets is a set that contains only the elements that appear in both sets
a. True
b. False
The union of two sets is to avoid counting the same elements twice.
What is set?
The mathematical logic subfield of set theory investigates sets, which can be loosely defined as collections of objects. Although any object can be combined into a set, set theory, as a mathematical discipline, focuses primarily on those that are relevant to mathematics as a whole.
Given union of set
(A ∪ B),
The set of all objects that are members of either A or B, or both, is the union of the sets A ∪ B.
let us take example,
A = { 1, 2, 3, 4}
B = {3, 4, 5, 6, 7}
(A ∪ B) = { 1, 2, 3, 4} ∪ {3, 4, 5, 6, 7}
we can simply write all of A and B's elements in a single set to avoid duplicates to find A U B.
(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}
Hence the union of two sets is a set that contains all the elements of both set and avoid duplicates.
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The diagram shows a cylinder of diameter 6 cm and height 20 cm what is the volume in cm3
Answer:
565.2cm³
Step-by-step explanation:
the radius= 6/2= 3 cm
the height= 20cm
the volume= 3.14× 3²×20
= 3.14×180= 565.2 cm³
Check the picture below.
Question 5 Multiple Choice Worth 4 points)
(08.07 MC)
Jake's tower bed has a length of 10 feet and a width of 19 feet. Which of the following is true?
The area of the flower bed is equal to 10 square feet
The area of the flower bed is larger than 10 square feet
The area of the flower bed is equal to 8 square feet.
The area of the flower bed is smaller than 8 square feet
ANSWER FAST FOR BRAINLY CROWN!!!!
Answer:
The answer is
Step-by-step explanation:
The area of the flower bed is larger than 10 square feet.
Hope this helps....
Have a nice day!!!!
If DEF ~= PQR, which congruences are true by CPCTC? Select all that apply.
a. DF = PR
b. DE = PR
C. EF = QR
D. Q = D
E. E = Q
F. F= R
Answer:
A, C, E, F
Step-by-step explanation:
Plz help me with this one..
Answer:
The equations 3·x - 6·y = 9 and x - 2·y = 3 are the same
The possible solution are the points (infinite) on the line of the graph representing the equation 3·x - 6·y = 9 or x - 2·y = 3 which is the same line
Step-by-step explanation:
The given linear equations are;
3·x - 6·y = 9...(1)
x - 2·y = 3...(2)
The solution of a system of two linear equations with two unknowns can be found graphically by plotting the two equations and finding the coordinates of the point of intersection of the line graphs
Making 'y' the subject of both equations gives;
For equation (1);
3·x - 6·y = 9
3·x - 9 = 6·y
y = x/2 - 3/2
For equation (2);
x - 2·y = 3
x - 3 = 2·y
y = x/2 - 3/2
We observe that the two equations are the same and will have an infinite number of solutions
which sequence of transformations applied to shape 1 proves that shape 1 is similar to shape 2
A. a reflection across the y-axis and then a dilation by a scale factor of 0.5
B. a translation 5 units right and 1 unit up and then a dilation by a scale factor of 0.5
C. a 90° clockwise rotation about the origin and then a dilation by a scale factor of 0.5
D. a 90° counterclockwise rotation about the origin and then a dilation by a scale factor of 0.5
There is a 90° clockwise rotation about the origin followed by a dilation of scale factor of 0.5
Thus the correct option is C.
which sequence of transformations applied to shape 1 proves that shape 1 is similar to shape 2?The first thing we can notice in the image is that the two figures have different orientations.
On the left side, we can see that the two "plane opposite sides" are oriented upwards and downwards, while on the left figure we can see that these sides are oriented "left and right"
Then there is a rotation of 90° to the right (this is actually called a rotaion of 90° clockwise) from 1 to 2.
Then, if you look at the bottom side of figure 1, you can see that the side measures 2 units.
If you look at the left side of figure 2 (it is the same one as the bottom side of image 1, remember that figure 2 is a rotation of figure 1) it measures one unit.
So there is a dilation of scale factor k such that:
k*2 = 1
k = 1/2 = 0.5
Then:
There is a 90° clockwise rotation about the origin followed by a dilation of scale factor of 0.5
Thus the correct option is C.
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which statement is correct? int k = 15 / 4; byte b = 100 * 1000; float f = 3.5 * 4; int k = (double) 4 * (int) 4.5; none of them
None of the given statements is correct
1. int k = 15 / 4; - This statement performs integer division, resulting in a quotient of 3. Therefore, k would be assigned the value 3.
2. byte b = 100 * 1000; - This statement performs integer multiplication, resulting in the product of 100,000. However, the value 100,000 is outside the range of a byte (-128 to 127), so it cannot be assigned to a byte variable.
3. float f = 3.5 * 4; - This statement performs floating-point multiplication, resulting in the product of 14.0. This value can be assigned to a float variable, so the statement is valid.
4. int k = (double) 4 * (int) 4.5; - This statement attempts to cast 4 to a double and 4.5 to an int. However, the cast of 4.5 to an int truncates the decimal portion, resulting in a value of 4. Then, the multiplication is performed, resulting in a product of 16. However, the assignment to an int variable is not valid because it violates the syntax rules of declaring the same variable twice in the same scope.
None of the given statements is correct. Statement 2 attempts to assign a value outside the range of a byte, and statement 4 violates the syntax rules of variable declaration.
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A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries negative 10, 0, 0, negative 4, negative 6, 0. Which is a y-intercept of the continuous function in the table? Group of answer choices (0, –6) (–2, 0) (–6, 0) (0, –2)
A y-intercept of the continuous function in the table is; (0, –6)
What is the y-intercept of the given function table?The y-intercept of a function is defined as the point where the graph intersects the y-axis. This means the point where the x-value is zero.
Now, from the function table given, we can see the coordinates of the function are given as;
(-4, 10)
(-3, 0)
(-2, 0)
(-1, -4)
(0, -6)
(1, 0)
Now, from the coordinates above , we can see that the only coordinate that has the x-value as zero is the one (0, -6) and as such by definition, it is the y-intercept.
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Write the sentence as a conditional.
4x-9 = 19
The sentence for 4x-9 = 19 is "when 9 is subtracted from 4 times a number, it equals 19."
What in mathematics is a conditional sentence?Definition. A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences. P is referred to as the hypothesis and Q is referred to as the conclusion for this conditional statement. The implication of "If P then Q" is that whenever P is true, Q must also be true.
We have a conditional statement, for instance. In the event of rain, we will not play. Let's say A: It's raining and B: We're not going to play. If A is true—that is, if it is raining—and B is false—that is, if we played—then A implies that B is untrue.
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Find the sum.
PLS ANSWER QUICK!!!!!!!!
Answer:
1/3
Step-by-step explanation:
2/3 - 1/3 would equal 1/3. Since it is a negative 1/3 you would subtract that from the equation.
Help me do this cause me bad at math i dunno how
Answer:
第一个问题使用 P*T*R/100
第二个我也不知道 :"D
第三次 5500 除以 110
4th 让第三个角度是 a,现在 a+150=180 并求解。
希望有帮助 :)
Ps:我没有写答案,因为你需要解决更多的问题才能擅长数学 :D
Write the equation of the line in slope-intercept form that goes through the
points: (2, 4) and (7,-1)
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{2}}} \implies \cfrac{ -5 }{ 5 } \implies - 1\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- 1}(x-\stackrel{x_1}{2}) \\\\\\ y-4=-x+2\implies {\Large \begin{array}{llll} y=-x+6 \end{array}}\)
y^2+13y=-36
solve for x
please show work
Answer:
y = -9 or y = -4
Step-by-step explanation:
y^2 + 13y = -36
y^2 + 13y + 36 = 0
(y + 9)(y + 4)
y + 9 = 0
y = -9
y + 4 = 0
y = -4
Best of Luck!
What is the approximate area of a circle with a diameter of 31 in
Answer:
48.67
Step-by-step explanation:
31 divided by 2 = 15.5 which is the radius
15.5 times by 3.14(pi) = 48.67
the area of a rectangle with the width x-5 and the length x-12 is 44 square feet. what are the dimensions
Answer: 23
Step-by-step explanation:
Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.
A. 1/6
B. 5/6
C. 25/36
D. 10
Answer:
A
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then
minimum/ maximum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
\(x_{vertex}\) = - \(\frac{b}{2a}\)
y = x² - \(\frac{5}{3}\) x + \(\frac{31}{36}\) ← is in standard form
with a = 1 and b = - \(\frac{5}{3}\) , thus
\(\frac{x}{vertex}\) = - \(\frac{-\frac{5}{3} }{2}\) = \(\frac{5}{6}\)
Substitute this value into y
y = (\(\frac{5}{6}\) )² - \(\frac{5}{3}\) (\(\frac{5}{6}\) ) + \(\frac{31}{36}\)
= \(\frac{25}{36}\) - \(\frac{25}{18}\) + \(\frac{31}{36}\) = \(\frac{1}{6}\)
Since a > 1 then the vertex is a minimum, thus
minimum value = \(\frac{1}{6}\) → A
In ΔTUV, UV = 14, VT = 19, and TU = 9. Which statement about the angles of ΔTUV must be true?
In ΔTUV, UV = 14, VT = 19, and TU = 9, The statement about the angles of ΔTUV that must be true is \(m \angle U > m \angle T > \angle V\) Option 5
This is further explained below.
What are angles?Generally, A triangle's angle is a measurement of the length of the side that is perpendicular to it.
This indicates that if one of the sides is longer in length, then the measure of the angle opposite to it will also be longer.
The angles in the triangle TUV are denoted by the symbols T, U, and V.
The side that is UV, TV, and T U correspondingly is the side that is opposite to these angles.
The length of the opposing sides will immediately determine the measure of the angles, which will be directly proportionate to those angles.
since V T>U V>T U, the arrangement of angles will correspond to this as follows: \(m \angle U > m \angle T > \angle V\) Option 5
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CQ
In $\triangle T U V$, UV $=14, V T=19$, and $T U=9$. Which statement about the angles of $\triangle T U V$ must be true?
$\mathrm{m} \angle V>\mathrm{m} \angle T>\mathrm{m} \angle U$
$\mathrm{m} \angle T>\mathrm{m} \angle U>\mathrm{m} \angle V$
$\mathrm{m} \angle U>\mathrm{m} \angle V>\mathrm{m} \angle T$
$m \angle V>m \angle U>m \angle T$
$m \angle U>m \angle T>m \angle V$
$\mathrm{m} \angle T>\mathrm{m} \angle V>\mathrm{m} \angle U$
Do 2b + b and 3b have the same value for all values of b?
Answer:
Yes
Step-by-step explanation:
2B+B=3b and 3b and 3b are the same.
Thus, they have the same value
A line passes through the points (-1,-7) and (7, 1). Write its equation in slope intercept
Answer:
y = x - 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 1, - 7 ) and (x₂, y₂ ) = (7, 1 )
m = \(\frac{1-(-7)}{7-(-1)}\) = \(\frac{1+7}{7+1}\) = \(\frac{8}{8}\) = 1 , then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (7, 1 ) , then
1 = 7 + c ⇒ c = 1 - 7 = - 6
y = x - 6 ← equation of line
Isla has 225 trading cards and Lily has 180 trading cards. a) Calculate the number of Isla's trading cards as a percentage of the number of Lily's trading cards. b) Calculate the number of Lily's trading cards as a percentage of the number of Isla's trading cards. Give your answers to the nearest 1%.
(a) Isla's trading cards are 125% of Lily's trading cards.
(b) Lily's trading cards are 80% of Isla's trading cards.
Given that,
There are 225 trading cards and Lily has 180 trading cards.
To calculate the percentage of Isla's trading cards compared to Lily's,
We can use this formula:
⇒ Isla's trading cards / Lily's trading cards x 100%
Plugging in the values we get:
⇒ (225 / 180) x 100% = 125%
Therefore,
Isla's trading cards are 125% of Lily's trading cards.
b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:
⇒ Lily's trading cards / Isla's trading cards x 100%
Plugging in the values we get:
(180 / 225) x 100% = 80%
Therefore,
Lily's trading cards are 80% of Isla's trading cards.
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1. How many times larger is 4 x 10^9 than 4 x 10^3?
A. 1x 10^-6
B. 1 x 10^3
C. 1 x 10^6
D. 1 x 10^12
Answer:A
Step-by-step explanation:
A is the correct anwers cause you divied you demonitar plus 10 then subtract and you get a equal
fhe measures of the angles of a triangle are shown below. find the value of x.
The measure of three angles are : x, 60 & 100
Sum of all angles in a triangle is 180 degree
So, x + 60 + 100 = 180
x + 160 = 180
x = 180 -160
x = 20
Answer : x = 20
in a class of 18 students there are 11 math majors and 7 computer science majors. four students are randomly picked to prepare a demonstration on the use of a graphing calculator
The probability that 2 math majors and 2 computer science majors are chosen is 0.3778.
In a class of 18 students, there are 11 math majors and 7 computer science majors. Four students are randomly picked to prepare a demonstration on the use of a graphing calculator. Then the probability that 2 math majors and 2 computer science majors are chosen To solve the problem, we need to use combinations as the order in which the students are selected doesn't matter.
The total number of ways of choosing 4 students out of 18 students is shown by :18C4 = (18 × 17 × 16 × 15) / (4 × 3 × 2 × 1) = 3060 The number of ways of choosing 2 math majors from 11 math majors is shown by :11C2 = (11 × 10) / (2 × 1) = 55 .The number of ways of choosing 2 computer science majors from 7 computer science majors is given by :7C2 = (7 × 6) / (2 × 1) = 21 Thus, the number of ways of choosing 2 math majors and 2 computer science majors out of 11 math majors and 7 computer science majors, respectively, is given by :55 × 21 = 1155 Therefore, the probability that 2 math majors and 2 computer science majors are chosen is :1155 / 3060 = 0.3778 (rounded to four decimal places)Thus, the probability that 2 math majors and 2 computer science majors are chosen is 0.3778.
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3060 possible groups of four students can be formed using a combination of math majors and computer science majors.
In a class of 18 students there are 11 math majors and 7 computer science majors. Four students are randomly picked to prepare a demonstration on the use of a graphing calculator.
We need to find out how many possible groups of four students can be formed using a combination of math majors and computer science majors.
We can apply the combination formula to find the number of possible combinations.
The combination formula is given as: C(n, r) = (n!)/(r!(n-r)!) Where, n is the total number of items available for selection, r is the number of items to be selected at a time C(n, r) is the number of possible combinations.
The number of math majors = 11
The number of computer science majors = 7
The total number of students = 18
We need to select a group of four students, therefore r = 4
The number of possible groups of four students can be formed using a combination of math majors and computer science majors is given by: C(18, 4) = (18!)/(4!(18-4)!)= (18 × 17 × 16 × 15)/(4 × 3 × 2 × 1) = 3060
Therefore, there are 3060 possible groups of four students that can be formed using a combination of math majors and computer science majors.
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16. (6 points) A procurement manager at Best Buy wants to find out the population mean monthly sales of 4K TV at stores in the Midwest. Best Buy's current inventory policy is set under the assumption that 25 4K TVs are sold in a month on average. A sample of 49 stores was selected, and it was found that the sample mean is 19 with a sample standard deviation of 7. Does the sample data suggest that Best Buy needs to revise its inventory policy? Test at the a = .05 significance level.
No, the sample data does not suggest that Best Buy needs to revise its inventory policy at the 0.05 significance level.
To determine if Best Buy needs to revise its inventory policy, we can conduct a hypothesis test. The null hypothesis (H0) assumes that the population mean monthly sales of 4K TVs is 25, while the alternative hypothesis (Ha) assumes that it is different from 25. We can use a t-test since the sample size is less than 30 and the population standard deviation is unknown.
Using the given sample mean (19), sample standard deviation (7), sample size (49), and assuming a significance level of 0.05, we can calculate the test statistic and compare it to the critical value from the t-distribution. If the test statistic falls within the acceptance region, we fail to reject the null hypothesis.
Performing the calculations, we find that the test statistic is -6.142 and the critical value at a 0.05 significance level is ±1.96 for a two-tailed test. Since the test statistic falls outside the critical value range, we reject the null hypothesis. Therefore, the sample data does not suggest that Best Buy needs to revise its inventory policy.
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