Answer:
No, it is a binomial.
Step-by-step explanation:
Solve for x and y in the problem below. Then, find m
Given the Cyclic Quadrilateral Theorem,
Opposite angles of a Cyclic Quadrilateral are supplementary(that is, they add up to 180°).
Therefore,
\(\begin{gathered} 17x+78^o=180^o \\ 17x=180^o-78^o \\ 17x=102^o \\ x=\frac{102^o}{17} \\ x=6^o \end{gathered}\)To obtain y,
\(\begin{gathered} 9y+6y=180^o \\ 15y=180^o \\ y=\frac{180^o}{15} \\ y=12^o \end{gathered}\)Thus,
\(\begin{gathered} m\angle X=9y \\ =9\times12 \\ =108^o \end{gathered}\)\(\begin{gathered} m\angle V=6y \\ =6\times12 \\ =72^o \end{gathered}\)\(\begin{gathered} m\angle W=17x \\ =17\times6 \\ =102^o \end{gathered}\)Therefore, the values are
m
m
m
Factor the following polynomial completely x2 - 3x - 10
Answer:
the answer is (x-5) (x+2)
Factor by gcf 5x + 20 please someone
Answer:
5 (x + 4)
Step-by-step explanation:
5x = 5 * x
20 = 5 * 4
5 is the only thing thye have in common, so we put 5 in front and add x + 4
5 (x + 4)
5(x+4) is the correct answer
8.4\times 10^{-3}+4.7\times 10^{-2} 8.4×10 −3 +4.7×10 −2
The value of the expression (8.4 × 10^-3) × (7 × 10^-2) is 5.88 × 10^-4.
How to calculate the value of the expression?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.
The expression is given as:
(8.4 × 10^-3) × (7 × 10^-2)
= 0.0084 × 0.07
= 0.000588
= 5.88 × 10^-4
The value of the expression is 5.88 × 10^-4.
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(b) It takes 37 pounds of seed to completely plant a 4-acre field. How many pounds of seed are needed per acre?
Answer:
9.25 lbs
Step-by-step explanation:
37 is the amount for 4 acres or 4a:
37 = 4a
Isolate and find a by dividing both sides by 4:
4a = 37
4a ÷ 4 = \(\frac{37}{4}\)
a = \(\frac{37}{4}\) or 9.25 lbs
Hope this helps!
Savanna is ordering crafts for Thanksgiving for her class. Each individual craft cost $1.50. There are a shipping fee and handling fee of $10.00 per order. Why are the quantities important?
Answer:
i smell penys
Step-by-step explanation:
Can someone please help me I’ll give brilliant thingy
Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
4. What are the Z-scores for the following Confidence Interval levels? Remember, you MUST account for both tails of the curve, positive and negative, when identifying each. That means you will need to do a little math to obtain the correct z-value. 3 Points 68%= 85% = 99% =
In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.
Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.
We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)
Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!
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How long is the hypotenuse? Explain how you know *
If one side is 12 units, and the other side is 17 units.
Answer:
√433 units
Step-by-step explanation:
To find the hypotenuse, we can use the Pythagorean Theorem.
a² + b² = c²
c² = 144 + 289
c² = 433
c = √433 units
Find two consecutive odd integers whose sum is 116
Agatha made a five-digit number with 0.3.5.8 and 9. The number is
bigger than 39 and smaller than 53. The thousandths digit is 3 times the
tenths digit. What number did Agatha make?
help pls
Answer:
92
Step-by-step explanation:
2. Megan's aquarium measures 20 inches long, 14 inches wide, and 18 inches high. How many cubic inches of water would it take to completely fill the aquarium?
It would take 5040 cubic inches of water to completely fill the aquarium.
We know that the formula for the volume of cuboid :
V = length × width × height
Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.
Here, l = 20 inches
w = 14 inches
and h = 18 inches
Using the formula for the volume of cuboid, the volume of aquarium would be,
V = l × w × h
V = 20 × 14 × 18
V = 5040 cu.in.
Therefore, it would take 5040 cu.in. of water.
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A map is drawn using a scale of 1cm/80 mi
Two cities are 280 miles apart
How far apart are the cities on the map?
Answer:
280/80 = 28/8 = 7/2 = 3.5 cm
Step-by-step explanation:
the ratio is 1cm/80mi = a cm/280mi
so you get 280cm * mi = 80mi*a cm
so a = 280/80 = 3.5
Consider the distribution of exam scores for the first exam within a college course. If the set of exam forms is symmetrical distribution, what can be concluded about the student's scores?
a) a substantial number of students had high scores
b)About an equal number of students had relatively high and relatively low scores
c)most had low scores
A symmetrical distribution of exam scores in a college course indicates that the student's scores are evenly distributed across the entire range of scores. This suggests that about an equal number of students had relatively high and relatively low scores.
Correct answer will be b) About an equal number of students had relatively high and relatively low scores.
And that there is no single group that overwhelmingly outperformed or underperformed the others. Furthermore, it indicates that there were a substantial number of students who achieved high scores, as well as a substantial number who achieved low scores.
This type of even distribution of scores is often seen when students are equally prepared, and when the exam is designed to be neither too difficult nor too simple.
In conclusion, a symmetrical distribution of exam scores suggests that the students were similarly prepared and that the exam was appropriately challenging.
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The number of peach trees in the orchard is directly proportional to
the number of apple trees. When Farmer Bob planted 40 peach
trees, he planted 120 apple trees. Everything was killed in the
drought and he's starting anew. How many apple trees will he
need to plant if he plants 500 peach trees?
Answer:
there was a difference between the 40 and 120 which was 80 so if there are 500 peach trees he would need to plant 580 because you add the difference to the total. The answer is 580 apple trees
Step-by-step explanation:
plz mark brainliest
Help area of a circle
9th
Answer:
C=2πr
Step-by-step explanation:
Imagina that the cook is using a potato-chopping machine instead of a knife, allowing him to chop a maximum of 120 potatoes instead of 100. Which is the best estimate of the number of hamburgers he could cook if he chopped 100 potatoes with the machine
The number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.
What is the graph of the best estimate?A mathematical notion called the graph of the best estimate connects points spread throughout a graph.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have shown a graph in the picture that shows the number of hamburgers cooked versus the number of potatoes chopped.
As we can see in the graph,
Number of potatoes chopped = 80
number of hamburgers cooked = 30
Number of potatoes chopped = 90
number of hamburgers cooked = 20
Number of potatoes chopped = 95
number of hamburgers cooked = 10
Number of potatoes chopped = 100
number of hamburgers cooked = 14 (best estimate)
Thus, the number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.
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Find the missing side of the triangle and leave the answer in simplest radical form.
Answer:
x = \(\sqrt5\)
Step-by-step explanation:
Using Pythagoras theorem,
Square of longer side = Sum of square of other sides .
Therefore,
\((\sqrt{11})^2 = x^2 + (\sqrt{6})^2\\\\11 = x^2 + 6\\\\11 - 6 = x^2\\\\5 = x^2\\\\x = \sqrt 5\)
Answer:
x = √5.
Step-by-step explanation:
By Pythagoras:
x^2 = (√11)^2 - (√6)^2
x^2 = 11 - 6 = 5
x = √5.
Prove the following identi
v 1-cos2A/sin2A=tanA
Answer:
1-cos2A/sin2A
=(1-cos^2 A+sin^2 A)/(2sinAcosA)
=(sin^2 A+sin^2A)/2sinAcosA
=2sin^2 A/2sinAcos^2 A
=sinA/cosA
=tanA
1. Write a program in 'C' language to solve the boundary value problem : y" = xy' + 2y, 0 SX S1 z" (0) = 1, 3' (1) = (e? + e-1)/2 using the shooting method. Use third order Taylor series method with h = 0.25 to solve the resulting initial value problem. 15
program in 'C' language to solve the boundary value problem
#include <stdio.h>
#include <math.h>
#define F(X,Y,Z) (X*Z+2*Y) // Function
#define H 0.25 // Step size
void main() {
float x, y, z, k1, k2, k3, k4;
int i;
x = 0;
y = 1;
z = 0.45; // Assume value of y'(0)
do {
printf("x=%f, y=%f, z=%f\n", x, y, z);
k1 = z;
k2 = z + H * k1 / 2.0;
k3 = z + H * k2 / 2.0;
k4 = z + H * k3;
z += (k1 + 2 * k2 + 2 * k3 + k4) / 6.0;
k1 = F(x, y, z);
k2 = F(x + H / 2.0, y + H * k1 / 2.0, z + H * k1 / 2.0);
k3 = F(x + H / 2.0, y + H * k2 / 2.0, z + H * k2 / 2.0);
k4 = F(x + H, y + H * k3, z + H * k3);
y += (k1 + 2 * k2 + 2 * k3 + k4) / 6.0;
x += H;
} while (x <= 1.0);
printf("x=%f, y=%f\n", x, y);
if (fabs(y - 1.271) <= 150)
printf("Error is within the given limit.");
else
printf("Error is not within the given limit.");
}
You can compile and run the above program using any C compiler of your choice.
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find the range of the data. 71, 67, 76, 66, 68, 79, 78, 70
Answer:
the range is 13
Step-by-step explanation:
Range is the largest number subtreacted from the smallest. In this case, it will be, 79-66=13
Answer:
79 - 66 = 13
Range: 13
What is the limit of the function?
Select True or False for each limit statement.
Answer:
false
false
false
...............
The limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
The right-hand limit of a function is the value of the function approaches when the variable approaches its limit from the right.
The left-hand limit of a function is the value of the function approaches when the variable approaches its limit from the left.
\(\lim_{x \to -\infty} (2x^{3} -2x)=\infty\)
This limit function is false.
\(\lim_{x \to -\infty} (2x^{4} +6x^{3}-2x)=-\infty\)
This limit function is false.
\(\lim_{x \to \infty} (-9x^{5} -6x^{3}-x)=-\infty\)
This limit function is false because it should be positive.
Hence, the limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
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4/9 divided by 18/3 in math because i really don't know so can someone help me please
\(\left( \dfrac 49 \right) \div \left( \dfrac{18} 3 \right)\\\\\\=\dfrac 49 \div6\\\\\\=\dfrac 49 \times \dfrac 16\\\\\\=\dfrac{2}{9\times 3}\\\\\\=\dfrac{2}{27}\)
Help me- what number of units and where
find the mean of the numbers
1, -3, -10
-15, 4, -22
-7.5, 3, -6.5
Answer:
13. -4 14. -11 15. \(-\frac{11}{3}\)
Step-by-step explanation:
13. (1-3-10)/3
14. (-15+4-22)/3
15. (-7.5+3-6.5)/3
Answer:
13. -4 14. -11 15. -3.6 continued
Step-by-step explanation:
13. 1+-3= -2+-10 -12/3= -4
14. -15+4= -11+-22= -33/3 -11
15. -7.5+3= -4.5+ -6.5= 11/3= -3.6 continued
Assume that a procedure yields a binomial distribution with a trial repeated n=18 times. Use either the binomial probability formula (or a technology like Excel or StatDisk) to find the probability of k=5 successes given the probability p=0.51 of success on a single trial.
(Report answer accurate to 4 decimal places.)
Answer:
0.0278 is the probability
Step-by-step explanation:
Okay, here we want to find the probability of 5 successes
The best way to go about this is by using the Bernoulli trial
So is p = probability of success = 0.51
Then q = probability of failure = 1-0.51 = 0.49
Mathematically, the Bernoulli approximation for k = 5 out of n = 18 is set up as follows;
P(k = 5) = nCk • p^k • q^(n-k)
P(k = 5) = 18C5 * 0.51^5 * 0.49^13
P(k = 5) = 0.027751047366 which is 0.0278 to 4 decimal places
For a project, Mr. Green's physics students made rockets. During class last week, the students launched their rockets from the bleachers of the school's outdoor football stadium. The bleacher location where Martin launched his rocket was 48 feet off the ground. The height of Martin's rocket in feet, t seconds after launch, is shown by the function below.
h(t)=-16t^2+88t+48
Fill in the values below for the domain of this height function.
For this situation, the domain represents the rocket's
Answer:
The domain of a function represents the set of all possible input values, or independent variable, for which the function is defined. In this case, the function h(t) represents the height of Martin's rocket in feet at time t seconds after launch.
Since the rocket can't have negative time values, the domain of the function is all non-negative real numbers, or
t ≥ 0
Therefore, the values for the domain of this height function are:
Domain: [0, ∞) or 0 ≤ t < ∞
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4. + y +7 – 2y + 6+ x
Answer:
17 - y + x
Step-by-step explanation:
4 + y + 7 - 2y + 6 + x
=> (4 + 7 + 6) + (y - 2y) + x [Rearranging the terms]
=> 17 - y + x
Answer:
17 - y +x
Step-by-step explanation:
sum 4 and 7 and 6 =
17+y -2 y tx
17-y + x
Select the correct answer. What are the roots of the quadratic equation Y =x^2-10x+125 A x=5+-5√6 B x=-5+-10i C x=-5+-5√6 D x=5+-10i
Answer:
Option D: x = 5 ± 10i
Step-by-step explanation:
Given the quadratic equation, y = x² - 10x + 125,
where:
a = 1, b = -10, and c = 125:
Use the following quadratic formula to solve for the roots:
\(\displaystyle\mathsf{x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}\)
\(\displaystyle\mathsf{x=\frac{10\pm\sqrt{(-10)^2-4(1)(125)}}{2(1)}}\)
\(\displaystyle\mathsf{x=\frac{10\pm\sqrt{100-500}}{2}\:=\:\frac{10\pm\sqrt{-400}}{2}}\)
Apply the imaginary unit rule, where it states that: \(\displaystyle\mathsf{\sqrt{-a}\:=\:i\sqrt{a}}\) :
\(\displaystyle\mathsf{x=\frac{10\pm\:20i}{2}}\)
\(\displaystyle\mathsf{x=\frac{10\:+\:20i}{2}\:=\frac{10(1\:+\:2i)}{2}\:=\:5(1+2i)}\:=5+10i}\)
\(\displaystyle\mathsf{x=\frac{10\:-\:20i}{2}\:=\frac{10(1\:-\:2i)}{2}\:=\:5(1-2i)}\:=5-10i}\)
Therefore, the correct answer is Option D: x = 5 ± 10i .
A cellular company offers a price of $19.95 for 200 minutes. Find the unit rate in cost per minute.
Answer:
≈ $0.10 /min
Step-by-step explanation: