d = dimes
q = quarters
d+q = 38 coins
q=38-d
0.25q + 0.10d=6.95
0.25(38-d)+0.10d=6.95
9.5-0.25d+0.10d=6.95
-015d=-2.55
d=-2.55/-0.15 = 17
q=38-17 =21
21*0.25 =5.25
17*0.10 = 1.70
5.25+1.70 = 6.95
she had 21 quarters and 17 dimes
If α and β are the zeroes of the polynomial ax^2 + bx + c, find the value of α^2 + β^2
Answer:
Step-by-step explanation:
α + β = -b/a
αβ = c/a
α² + β² = (α + β)² - 2αβ
[tex]= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}[/tex]
What is a lifetime cap?
Answer: A limit on how much an ARM's interest rate can change over the
life of a mortgage
Step-by-step explanation: took the quiz.
URGENT
Suppose that a coin has been altered to come up heads 70% of the time. If
many samples of 60 coin flips are taken, which of the following is the number
of heads that would likely come up most frequently in a sample?
A. 54
B. 42
C. 36
D. 48
P, Q & R form a right-angled triangle.
R, S & P lie on a straight line.
PS = SQ and ∠SQR = 36°.
Work out
∠RPQ
Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
Find the value of x
Answer:
x=1
Step-by-step explanation:
7x-1+2x-1=7
7x+2x-1-1=7
9x-2=7
9x=7+2
9x=9
9x/9=9/9
x=1
While she was on holiday,Olga measured the temperature at the same time every day. Here are the results. Work out the median: The range of the temperatures
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the required data are not given.
I will use the following data as an illustration of how to calculate median and range.
We have:
[tex]x: 11, 13, 14, 15, 18, 20[/tex]
Calculate range
Identify the highest and the least
[tex]Highest = 20[/tex]
[tex]Least = 11[/tex]
So, the range is:
[tex]Range = Highest -Least[/tex]
[tex]Range =20-11[/tex]
[tex]Range =9[/tex]
Calculate the median
The number of data we are using is 6 (i.e. even).
So, the position of the median item is:
[tex]Median =\frac{1}{2}(n+1)[/tex]
[tex]Median =\frac{1}{2}(6+1)[/tex]
[tex]Median =\frac{1}{2}*7[/tex]
[tex]Median =3.5th[/tex]
A decimal result implies that the median is the mean of the integer values before and after the result.
In this case, the median is the mean of the item at 3rd and 4th positions.
So:
[tex]Median = \frac{14+15}{2}[/tex]
[tex]Median = \frac{29}{2}[/tex]
[tex]Median = 14.5[/tex]
The graphs below have the same shape. What is the equation of the red
graph?
G(X) =
The equation of the red graph is g(x) = 6 - [tex]x^4[/tex].
Thus, option (B) is correct.
Given:
Function 1 : f(x) = 3 - [tex]x^4[/tex]
As, the y-intercept is the point where a line or curve intersects the y-axis.
It is the value of y when the corresponding x-coordinate is zero. It is the point(s) where the graph crosses the y-axis.
Now, from the graph of function f(x) has the intercept 6.
Also, the graph of function g(x) is 3 unit up from the function f(x).
So, the equation of g(x) will be
= f(x) + 3
= 3 - [tex]x^4[/tex] + 6
= 6 - [tex]x^4[/tex]
Thus, option (B) is correct.
Learn more about Function here:
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help pleaseee and thank you
Answer:
-2x-11=0
1) Add 11 to both sides
Dividde both sides by - 2
X= _11/2
Drcimal form: - 5.5
Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. What was the final cost of the ticket?
Answer:
$66
Step-by-step explanation:
$75
75*.8 =60
60*1.1= $66
Debbie has 12 blooms on her lemon tree on the first day she thinks to check it. Each day after that, she notices 3 additional blooms. How many blooms does she have after one week?
Answer:
33 blooms
Step-by-step explanation:
This can be set up by an equation. x represents the number of days and y represents the number of corresponding blooms. y = 3x + 12 is the equation, as 3 is the rate of change and 12 is the initial amount. One week is 7 days, so 7 can be plugged in for x. 21 + 12 = 33, so after one week, Debbie has 33 blooms.
Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.
Answer: To find the average rate of change, evaluate the function at the given points.
Evaluate the difference of the function at the given points.
Divide the difference of the function at the given points with the difference of the given points.
Step-by-step explanation:
The Average of rate is -1.
Everytime it goes up by one the y goes down by 1 so it would be -1.
The average rate of change of the function in the table given is: -1.
What is Average Rate of Chnge of a Function?Average rate of change of a function = change in y / change in x = rise/run.
Given the table representing a function, and using two set of ordered pairs, (-2, 7) and (0, 5):
Average rate of change of the function = (7 - 5)/(-2 - 0)
Average rate of change of the function = 2/-2
Average rate of change of the function = -1.
Learn more about average rate of change on:
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five fifth-grade teachers and six fourth-grade teachers ordered 2 large pizzas all together how much will each person need to pay.
Answer:
$5.50
Step-by-step explanation:
5+6= 11
11/2
5 1 point In the standard form of a circle (x – h)^2 + (y - k)^2 = r^2, which of the following represents the center of the circle?
A:(h,k)
B:r
C:(x,y)
D:r^2
Option C with h and k
see screenshot for an example
general formula is
r² = (x - x-center)² + (y - y-center)²
Pls help me I don’t get it
Answer:
15.71cm
Step-by-step explanation:
perimeter of a semi circle=1/2(πdiameter)
1/2(3.142×10cm)
1/2(31.42cm)
15.71cm
Answer:
15.71 cm
Step-by-step explanation:
remember the formula for the circumference of a circle but make it half since it's a semi-circle
the perimeter of a circle is diameter x pi
since
the diameter is 10 and pi is 3.142
its 10 x 3.142
and that equals
31.42
that's a FULL circle so half of that
divide it by 2
31.42/2=15.71
so the diamater of the semi-circle is 15.71
hope this helps!
dont forget is centimeters
i'll mark brainliest !!!!!!!!!!
Amar wants to make lemonade for a birthday party. He wants to mix 12 tablespoons of sugar in water. He only has a teaspoon which needs to be used 4 times to be equivalent to one tablespoon. At this rate, how many teaspoons of sugar will Amar need to make the lemonade?
HOW MANY TEASPOONS OF SUGAR WILL AMAR NEED TO MAKE LEMONADE !?
Answer:
Amar will need 48 teaspoons of sugar to make lemonade
Step-by-step explanation:
If u need 4 teaspoons to make one tablespoon, then you just can do
4 x 1 = 4
so, having that now you can do
4 x 2 = 8
there you get 8 teaspoons
Now you do
4 X 12 = 48
Model 3: Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region. Again, using the center of the half-circle as the origin, the struts are modeled by the equations and . A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart. 8. Algebraically determine the x -value of where the beam should be placed. (15 points) 9. Explain where to place the beam. (10 points)
Answer:
The beam should be placed 8 feet from the center.
Step-by-step explanation:
According to the Question,
Given That, Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region.Again, using the center of the half-circle as the origin, the struts are modeled by the equations y=x+8 and y=x-4. A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart. Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart.
The struts are y = √(x + 8) and y = √(x − 4). The struts are 2 feet apart at the location of the beam:
thus, √(x + 8) − √(x − 4) = 2
on Solving we get,
√(x + 8) = 2 + √(x − 4)
x + 8 = 4 + 4√(x − 4) + x − 4
8 = 4√(x − 4)
2 = √(x − 4)
x − 4 = 4
x = 8
An angle that measures between 90 and 180° is called?
Answer:
Obtuse AngleStep-by-step explanation:
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
A crane has a cable with breaking strain 6400 kg it's used to lift crates weighing 90kg what's the greatest number of crates that can safely be lifted at one time without breaking the cable
Answer: 71 crates
Step-by-step explain:
6400/90 = 71. something but you cannot lift a decimal of a crate hence the answer being 71!
= 71 crates
Find the area of the sector in
terms of pi.
12
210°
Area
=
[?]
T
Answer:
84pi
Step-by-step explanation:
Sector Area = (pi x r^2 x *angle*)/ 360
(pi x 12^2 x 210)/ 360
= 84pi
= 263.893
Which of the following is true of the discriminant for the graph below
Answer:
Step-by-step explanation:
The discriminant is used to determine the number and nature of the zeros of a quadratic. If the discriminant is positive and a perfect square, there are 2 rational zeros; if the discriminant is positive and not a perfect square, there are 2 rational complex zeros; if the discriminant is 0, there is 1 rational root; if the discriminant is negative, there are no real roots.
The roots/solutions/zeros of a quadratic are where the graph goes through the x axis. Those are the real zeros, even if they don't fall exactly on a number like 1 or 2 or 3; they can fall on 1.32, 4.35, etc. They are still real. If the graph doesn't go through the x-axis at all, the zeros are imaginary because the discriminant was negative and you can't take the square root of a negative number. As you can see on our graph, the parabola never goes through the x-axis. Therefore, the zeros are imaginary because the discriminant was negative. Choice C. Get familiar with your discriminants and the nature of quadratic solutions. Your life will be much easier!
how can I solve this question ?
wick method should I use ?
Answer:
24/60=6/15=2/5=48/120=16/40
Step-by-step explanation:
Now we see that,
6/15=2/__
Let us say '__' in 2/__ is 'x'
6/15=2/x
6x=15x2
6x=30
x=5
=>2/5
Similarly,
2/5=x/120
2x120=5x
240=5x
5x=240
x=240/5
x=48
=>48/120
48/120=16/x
48/16=120/x
3=120/x
x=120/3
x=40
=>16/40
((HELP ME PLEASEEEE))
For #2-7, decide if the triangles in each pair are similar. If they are similar, state how you know they are similar and then complete the similarity statement. If they are not similar, explain why.
Answer:
2. The ratio of the corresponding sides of ΔUTS and ΔUDE are not equal
3. ΔCBA ~ ΔHGF
4. ΔVUT ~ ΔVML
5. ΔTUV ~ ΔJKL
6. The ratio of all the corresponding sides and all the corresponding angles in triangles ΔSTU and ΔSCB are not equal
7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are not equal
Step-by-step explanation:
2. The ratio of the corresponding sides of ΔUTS and ΔUDE are;
36/43, 16/39, and 16/40
We have;
[tex]\dfrac{36}{43} \neq\dfrac{16}{39}[/tex]
∴ ΔUTS is not similar to ΔUDE, because the ration of the corresponding sides of both triangles are not equal
3. The interior angles of ΔCBA are;
∠A = 33°, ∠B = 88°, and ∠C = 59°
The interior angles of ΔHFG are;
∠H = 33°, ∠F = 59°, and ∠G = 88°
∴ ΔCBA ~ ΔHGF (ΔCBA is similar to ΔHGF) (Letters rearranged) by Angle-Angle, AA, similarity postulate
4. The measure of angle ∠LMV = 25° = The measure of angle ∠UTV Given
The measure of angle ∠MVL = ∠TVU by reflexive property
Therefore, ΔVUT ~ ΔVML (ΔVUT is similar to ΔVML) by Angle-Angle, AA, similarity postulate
5. The measure of angles ∠T and ∠U in triangle ΔTUV are equal to the measure of angles ∠J and ∠K in triangle ΔJKL
Therefore, ΔTUV ~ ΔJKL (ΔTUV is similar to ΔJKL) by Angle-Angle, AA, similarity postulate
6. In triangles ΔSTU and ΔSCB, we have;
The ∠TSU = ∠TSU by reflexive property
However, ∠SUT ≠ ∠SNC ≠ ∠STU
Therefore, ΔSTU is not similar to ΔSCB due to the triangles have one non equal angle
[tex]\dfrac{SB}{SU} =\dfrac{22}{33} = \dfrac{2}{3} =\dfrac{18}{27} = \dfrac{CB}{TU} \neq \dfrac{21}{30} = \dfrac{7}{10} = \dfrac{CS}{TS}[/tex]
From which we get;
[tex]\dfrac{SB}{SU} \neq \dfrac{CS}{TS}[/tex]
∴ ΔSTU is not similar to ΔSCB, because not all the ratio of the corresponding sides and angles are equal
7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are;
[tex]\dfrac{KB}{KL} = \dfrac{18}{88} = \dfrac{9}{44}[/tex]
KM = KC + CM = 25 + 107 = 132
[tex]\dfrac{KC}{KM} = \dfrac{25}{132}[/tex]
Therefore;
[tex]\dfrac{KB}{KL} \neq \dfrac{KC}{KM}[/tex]
The ratio of the sides of triangles, ΔKLM and ΔKBC are;
Therefore ΔKLM and ΔKBC are not similar, because the ratio of the corresponding sides are not equal
The expected (mean) life of a particular type of light bulb is 1000 hours with a standard deviation of 50 hours. The life of this world is normally distributed what is the probability that a randomly selected bulb would last fewer than 940 hours?
Answer:
11.5%
Step-by-step explanation:
To solve this problem, we can use the knowledge that there are z score tables that calculate probabilities based on z scores. Thus, we must calculate the z score.
The z score formula is [tex]\frac{x- m}{s}[/tex] , where x is the value, m is the mean, and s is the standard deviation. We can then plug our values in to get [tex]\frac{940-1000}{50} = \frac{-60}{50} = -1.2[/tex] as our z score. Plugging this into a table where table values represent the area to the left of the z score (as we want to calculate everything under 940), we get 0.115, or 11.5% as our answer
The figure below shows three quadrilaterals on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled E is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled G is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled F is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3, 2 and negative 3, 1. Which of the following statements is true about the three quadrilaterals? E and F are similar but not congruent. E and G are similar but not congruent. G and F are similar and also congruent. E and G are similar and also congruent.
Answer:
lot of words for a simple question about which rectangle is the same!
E and F are similar but not congruent.
Step-by-step explanation:
¿Cuáles de los siguientes pares de razones cumplen con ser una proporción? (1pto.)
a) 2 : 3 y 8 : 6
b) 4 : 3 y 5 : 4
c) 7 : 4 y 4 : 7 Respuesta = ?
d) 9 : 3 y 3 : 1
1.- La razón entre la edad de un padre y su hijo es 8 : 3. Si el padre tiene 40 años, ¿cuántos años tiene el hijo? (1pto.)
respuesta : ?
Suppose you are the owner of a sari sari store and you have 8 pieces of different canned goods [ligo,555,mega young`s town,master,saba,blue bay,and century] and you are only allowed to display 7 canned goods on the shelf list down all the possible combinations?
Help me with this plss
Thank you♥
This question using the combinations concept, as the order in which the canned goods are displayed is not important. Thus, using the combinations formula, we get 8 ways, which are:
555,mega, young`s town,master,saba,blue bay,and centuryligo,555,mega, young`s town,master,saba,blue bayligo, mega, young`s town,master,saba,blue bay,and centuryligo, 555, young's town, master,saba,blue bay,and centuryligo,555,mega, master, saba, blue bay,and centuryligo,555,mega, young`s town,saba,blue bay,and centuryligo,555,mega, young`s town,master,blue bay,and centuryligo,555,mega, young`s town,master,saba, and century.Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
7 from a set of 8, so:
[tex]C_{8,7} = \frac{8!}{7!1!} = 8[/tex]
8 possible ways, in which each way we remove one of them, in the list given above.
A similar problem is found at https://brainly.com/question/23302762
Given that a²+b²=34 and ab=15 , find the value of (a+b²).
Answer:
The numbers are 3 and 5
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
3^2=9
5^2=25
25+9=34
3*5=15
Answer:
64
Step-by-step explanation:
(a+b)²= a²+b²+2ab = 34+(2×15)= 64
A teacher has 40 learners in her class. She chooses 1% to clean her board. Is this possible?
Step-by-step explanation:
No, 1% of 40 is the same as 40% of 1. Which is 0.025% You cant have 0.025% of a learner or a human so this isn't possible.
Determine the location and values of the absolute maximum and absolute minimum of given function: f(x)= ( -x+2)^4, Where 0<=x<=3
Answer:
The absolute maximum and the absolute minimum are (0, 16) and (2, 0).
Step-by-step explanation:
First, we obtain the first and second derivatives of the function by chain rule and derivative for a power function, that is:
First derivative
[tex]f'(x) = -4\cdot (-x+2)^{3}[/tex]
Second derivative
[tex]f''(x) = 12\cdot (-x + 2)^{2}[/tex]
Then, we proceed to do the First and Second Derivative Tests:
First Derivative Test
[tex]-4\cdot (-x+2)^{3} = 0[/tex]
[tex]-x + 2 = 0[/tex]
[tex]x = 2[/tex]
Second Derivative Test
[tex]f''(2) = 12\cdot (-2+2)^{2}[/tex]
[tex]f''(2) = 0[/tex]
The Second Derivative Test is unable to determine the nature of the critical values.
Then, we plot the function with the help of a graphing tool. The absolute maximum and the absolute minimum are (0, 16) and (2, 0).
make greatest and smallest possible 7- digit number from 4,7,1,9,0,6,7
Answer:
greatest 9776410 smallest 1046779
Step-by-step explanation:
in smallest we cannot write 0 first because 0 has no units
Answers:
Largest possible = 9776410
Smallest possible = 1046779
====================================================
Explanation:
To make the greatest 7-digit number, we start with the largest digit at the left-most end. So we start with 9. Then the next digit is the next largest, which is 7, and so on until we get
9776410
If we swap any two distinct digits, then we'll get something smaller than that value above. For instance, swap the 1 and 0 which leads to 9776401 and this is smaller than 9776410. This is simply because 01 is smaller than 10. Every other digit is kept the same. Try out other digit swaps to see that the result is smaller than the value in bold.
------------------------
To make the smallest 7-digit number, we just take the idea mentioned in the first section and we reverse it. We start with the smallest digit. We can't have 0 as the first value or else it won't be a 7-digit number. So we go for 1 instead. Then we can pick 0 next. For the third digit we pick the third smallest (the digit 4), and we build up to get
1046779
If we swap any distinct two digits, then we'll get something larger than this value. Let's say we swap the second 7 and the 9 at the end. We go from 79 at the end to 97. Since 79 < 97, this means 1046779 < 1046797. That's one example of many.
--------------------------
So in short, the largest number possible has all the largest digits to the left (and we decrease going left to right). The smallest number possible is the reverse of this having the smallest digits to the left (then increasing from left to right). The 0 cannot be at the left-most digit position, or else won't have a seven digit number.
