The expression -b³c is the polynomial. The type of the polynomial is cubic polynomial and the degree is 3.
Polynomial:
Polynomial is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.
Given,
Here we have the expression -b³c.
And we need to find the following:
1) check it if is polynomial or not
2) type of the polynomial
3) degree.
As per the given definition, the expression -b³c is the polynomial.
Here we have the expression -b³c the highest power value for this polynomial is 3.
Therefore, the degree of this polynomial is 3 and the type of the is cubic polynomial.
Because we have identify the type based on the degree value here the value of degree is 3 so the type of the polynomial is cubic one.
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Triangle MNO is similar to triangle PQR. Find the measure of side PQ. Round your answer to the nearest tenth if necessary. R 11 M 45 4.6 M Р Answer: Submit Answer here to search
Answer: PQ = 18.8
The right angle triangles are similar
ON = QR
MN = PQ
Step 1: Establish the similarity theorem
[tex]\begin{gathered} \frac{ON}{QR}\text{ = }\frac{MN}{PQ} \\ \frac{11}{45}\text{ = }\frac{4.6}{PQ} \\ \text{Cross multiply} \\ 4.6\cdot\text{ 45 = 11x PQ} \\ 207\text{ = 11PQ} \\ \text{Divide both sides by 11} \\ PQ\text{ = }\frac{207}{11} \\ PQ\text{ = 18.8} \end{gathered}[/tex]19. Write an equation of a parabola that opens to the left, has a vertex at the origin, and a focus at (-4, 0).Tava
We have the next information
Parabola that opens to the left
Vertex a the origin (0,0)
Focus (-4,0)
then we will have the next form for the equation of the parabola
[tex]y^2=4px[/tex]where p is -4
[tex]\begin{gathered} y^2=4(-4)x \\ y^2=-16x \\ \end{gathered}[/tex]therefore if we isolate the x we obtain
[tex]x=-\frac{1}{16}y^2[/tex]Which interva notation represents the set of all numbers greater than or equal to -11 and less than or equal to -2? O [-11, -2] O (-11, -2] Submit Answer Of-11, -2) 0 (-11, -2)
When using interval notation a "[" represents that the number belongs to the interval and a "(" means that the number doesn't belong to the interval, it only limits it. On this case we need to find the interval where the numbers are greater or equal to -11, therefore this number belongs to the interval, and less or equal to -2, this number also belongs to the interval. They belong to the interval, because there is "or equal" on the signals. Therefore the interval can be represented as:
[tex]\lbrack-11,-2\rbrack[/tex]Simplify (4+2i)(1+5i)
The simplyfied expression is: -6 + 22i
To multiply two complex numbers, we need to apply distributive propiertie with each term of each parentheses. In this case:
[tex]\mleft(4+2i\mright)\mleft(1+5i\mright)=4\cdot1+4\cdot5i+2i\cdot1+2i\cdot5i[/tex]Now we can solve:
[tex]4+20i+2i+(2\cdot5)i^2[/tex]i^2 is (-1). Then:
[tex]\begin{gathered} 4+22i+10(-1) \\ 4-10+22i \\ -6+22i \end{gathered}[/tex]-6+22i is the simplified expression
Explain/show how would solve -7-5+7 to lazy to solve it
we have
-7-5+7=-5
because we have -7 and 7 we only left the other number as the result
4 out of every 6 tudent have brown eye if there are 150 tudent what b the number of tudent who have brown eye
If there are 150 students then the number of students that have brown eyes is 100 students .
In the question ,
it is given that ,
that 4 students out of every 6 student have brown eyes ,
So , the percent of boys that have brown eyes = (4/6) × 100
= 66.66%
So , 66.66% of the students have brown eyes .
So , in 150 students ,
the number of students that have brown eyes = 66.66% of 150
= (4/6) × 150
= 4 × 25
= 100
So , 100 students have brown eyes .
Therefore , If there are 150 students then the number of students that have brown eyes is 100 students .
The given question is incomplete , the complete question is
4 out of every 6 student have brown eyes if there are 150 student . what is the number of student who have brown eye ?
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a, b, and c represent three different numbers. each is chosen from the set 3 5 7 9 . what is the least possible value of a/b+c?
the larger the denominator compared to the numerator, the smaller the number, so:
[tex](b+c)\gg a\Rightarrow\frac{a}{b+c}\to0[/tex]So, let's choose the smallest number as a numerator, and the biggest numbers as a denominator:
[tex]\frac{3}{7+9}=\frac{3}{16}=0.1875[/tex]Determine the intercepts of the line.
Do not round your answers.
-7x-6y=-15−7x−6y=−15
I can't figure it out...
The intercepts of the line are( −7/6),( −[tex]\frac{7}{6}x+\frac{5}{2}[/tex]).
How to determine the intercepts of the line?The term "intercept" refers to the location where a line or curve intersects an axis on a graph. An object's x-intercept is defined as where a point crosses the x-axis. The term "y-intercept" refers to a point that crosses the y-axis. The intersection of the x-axis and the y-axis is what is meant by a line's intercept.
Use the slope-intercept form y=mx+b to find the slope m.
7x-6y=-15
m=−7/6.
Use the slope-intercept form y=mx+b to find the slope m.
−7x−6y=−15
m = −[tex]\frac{7}{6}x+\frac{5}{2}[/tex]
The term "intercept" refers to the location where a line or curve intersects an axis on a graph.
The intercepts of the lineare( −7/6),( −[tex]\frac{7}{6}x+\frac{5}{2}[/tex]).
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what is negative 3 times 67
Negative 34 means (-34)
times means to multiply, then
[tex]-34\times1567[/tex]To do it without a calculator we will make -34
-30 + -4, then multiply -30 by 1567 and multiply -4 by 1567 then add the two answers
[tex]-4\times1567=-6268[/tex][tex]-30\times1567=-47010[/tex]Then add the answers
[tex]-34\times1567=-6268+-47010=-53278[/tex]The answer is -53278
Answer:
Step-by-step explanation:
-3 times 67 is is minus 207 or -207
What is 2/3 ÷8? also it needs to be a proper fraction or a improper fraction
[tex]\cfrac{2}{3}\div 8\implies \cfrac{2}{3}\div \cfrac{8}{1}\implies \cfrac{2}{3}\times \cfrac{1}{8}\implies \cfrac{2}{8}\times \cfrac{1}{3}\implies \cfrac{1}{4}\cdot \cfrac{1}{3}\implies \cfrac{1}{12}[/tex]
A student has a container with a volume of 2.5 Liters. He estimates the volume to be 2.6 liters By what percent is the student's estimate off?
The student's estimate is off by 4%.
The total points possible for each task are added. A student's semester average is the total points earned divided by the total points available. A method of testing hypotheses about the mean of a small sample drawn from a normally distributed population when the standard deviation of the population is unknown.
Calculation:-
A container with a volume of 2.5 Liters.
Estimates volume = 2.6 L
The student's estimates off by percent = 2.6 - 2.5 = 0.1
percentage = 0.1/2.5 =100
= 4%.
Student's t-test is used when comparing two independent groups but ANOVA extends the t-test to more than two groups. Both methods are parametric and assume the normality of the data and equal variance between comparison groups.
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where Ais the initial amount present and A is the amount presenteStrontium-90 is a radioactive material that decays according to the function A(t) = Age-0.02441at time t (in years). Assume that a scientist has a sample of 800 grams of strontium-90.ce(a) What is the decay rate of strontium-90?(b) How much strontium-90 is left after 30 years?(c) When will only 200 grams of strontium-90 be left?(d) What is the half-life of strontium-90?-stilCOREcio (a) The decay rate of strontium-90 is %.(Type an integer or a decimal. Include the negative sign for the decay rate.)LiolewMat
The given information is:
- The function of decay is:
[tex]A(t)=A_0e^{-0.0244}[/tex]Where A0 is the initial amount of strontium-90, A is the amount present at time t (in years).
- The initial amount is 800 grams.
a. What is the decay rate of strontium-90?
The given formula is written in the form:
[tex]A(t)=A_0e^{rt}[/tex]Where r is the decay rate in decimal form, so:
[tex]r=-0.0244*100\%=-2.44\%[/tex]The decay rate is -2.44%.
b. How much strontium-90 is left after 30 years?
Replace t=30 and solve:
[tex]\begin{gathered} A(30)=800g*e^{-0.0244*30} \\ A(30)=800g*e^{-0.732} \\ A(30)=800g*0.481 \\ A(30)=384.8g \end{gathered}[/tex]There is 384.8 grams after 30 years.
c. When will only 200 g of strontium-90 be left?
A(t)=200g, then replace it and solve for t:
[tex]\begin{gathered} 200g=800g*e^{-0.0244t} \\ \frac{200g}{800g}=e^{-0.0244t} \\ \ln(\frac{200g}{800g})=\ln e^{-0.0244t} \\ -1.386=-0.0244t \\ t=\frac{-1.386}{-0.0244} \\ t=56.8 \end{gathered}[/tex]There will be 200 g left after 56.8 years.
d. What is the half-life of strontium-90?
The half-life is when A(t)=A0/2, then if we replace this into the decay formula we obtain:
[tex]\begin{gathered} \frac{A_0}{2}=A_0*e^{-0.0244t} \\ Simplify\text{ A0 on both sides} \\ \frac{1}{2}=e^{-0.0244t} \\ \ln(0.5)=\ln e^{-0.0244t} \\ -0.693=-0.0244t \\ t=\frac{-0.693}{-0.0244} \\ t=28.4 \end{gathered}[/tex]The half-life of strontium-90 is 28.4 years.
GRADED HW ASSIGNMENT I need help I’m stuck on this question and it’s regarding volume and scientific notation
ANSWER:
1.8176 * 10^-20 m^3
STEP-BY-STEP EXPLANATION:
Given:
Wide = 0.000000284 m
Long = 0.000000025 m
High = 0.00000256 m
Because it is rectangular in shape, the volume is the product of the three measurements, just like this:
[tex]\begin{gathered} V=0.000000284*0.000000025*0.00000256 \\ \\ V=1.8176*10^{-20}\text{ m}^3 \end{gathered}[/tex]The volume is 1.8176 * 10^-20 cubic meters
True or False?
Point (-0.6,1) is a solution of the inequality 2y+5x+7>3.
Answer:
True
Step-by-step explanation:
to determine if the point is a solution, substitute x = - 0.6 and y = 1 into the left side of the inequality and compare resul with right side.
2y + 5x + 7
= 2(1) + 5(- 0.6) + 7
= 2 - 3 + 7
= - 1 + 7
= 6 > 3 ← True
then (- 0.6, 1 ) is a solution of the inequality
The finance charge on Lauren’s credit card bill last month was
$13.50. Her APR is 18%. What was her average daily balance?
Answer:
$900
Step-by-step explanation:
You want to know Lauren's average daily balance if she was charged a $13.50 finance charge on a card with an APR of 18%.
Finance chargeThe finance charge is the product of the monthly interest rate and the average daily balance. The monthly rate is 1/12 of the annual rate. This tells us ...
finance charge = ADB × 18%/12
$13.50 = ADB × 0.015
ADB = $13.50/0.015 = $900
Lauren's average daily balance was $900.
<95141404393>
what is the total area of the figure below in square inches
Solution:
Given the composite figure below;
The figure is made up of a triangle and a trapezoid of the following side measures,
[tex]\begin{gathered} For\text{ the triangle:} \\ b_1=6\text{ in} \\ h_1=8\text{ in} \\ For\text{ the trapezoid:} \\ a=10\text{ in} \\ b_2=16\text{ in} \\ h_2=9\text{ in} \end{gathered}[/tex]To find the total area, A, of the figure, the formula is
[tex]\begin{gathered} A=Area\text{ of a triangle}+Area\text{ of a Trapezoid} \\ A=\frac{1}{2}b_1h_1+\frac{1}{2}(a+b_2)h_2 \\ Where \\ b_1\text{ is the base length of the triangle} \\ h_1\text{ is the height of the triangle} \\ b_2\text{ is the side length of the trapezoid} \\ h_2\text{ is the height of the trapezoid} \end{gathered}[/tex]Substituting the values of the variables into the formula above
[tex]\begin{gathered} A=\frac{1}{2}(6)(8)+\frac{1}{2}(10+16)(9) \\ A=24+117=141\text{ in}^2 \\ A=141\text{ in}^2 \end{gathered}[/tex]Hence, the total area, A, of the figure is 141 square inches.
Solve on the interval (0,2%): (sin x + 1)2 sin x-3 sinx-2) = 0 O A. x = 7T,X = 2 x=51 O 3 7T O В. x= N ***= 7+ x = 117 6 6 T T o C. X=2.7 x= 3 O D. x=2x-x-5 2 * = 4
Given:
(sinx + 1)(2sin²x - 3sinx - 2) = 0
sinx + 1 = 0
sinx = -1
Take the arcsin of both-side
x = sin⁻' (-1)
x = -90= -90 + 360 = 270 = 3π / 2
x =3π / 2
Similarly,
2sin²x - 3sinx - 2 = 0
let y = sinx
2y² - 3y - 2 = 0
Factorising the above;
2y² - 4y + y - 2 = 0
2y(y-2) + 1(y-2) = 0
(2y+1)(y-2) = 0
Put sin x back in for y so we can see what it's really supposed to be.
(2sinx + 1 )(sinx -2) = 0
Either one of the terms 2sin x + 1 or sin x - 2 can be 0 for this equation to be true. Let's solve each of them separately.
2sinx + 1 = 0
2sinx = -1
sinx = -1/2
Take the arcsin of both-side.
x= sin⁻' (-1/2)
x = - 30 = -30+360 = 330 ,
x = 7π /6 or 11π/6
Therefore, the correct option is B. x= 3π / 2 , 7π /6 , 11π/6
Indigo has $700 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $296.71.
She buys 3 bicycle reflectors for $12.34 each and a pair of bike gloves for $33.66.
She plans to spend some or all of the money she has left to buy new biking outfits for $68.49 each.
Which inequality can be used to determine
o
o, the maximum number of outfits Indigo can purchase while staying within her budget?
68.49
o
+
367.39
≤
700
68.49o+367.39≤700
68.49
+
367.39
o
≥
700
68.49+367.39o≥700
68.49
o
+
367.39
≥
700
68.49o+367.39≥700
68.49
+
367.39
o
≤
700
68.49+367.39o≤70
The inequality that can be used to determine x, the number of outfits Indigo can purchase will be; 367.39 + 68.49x ≤ 700
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
The given parameters are:
Budget = $700
New bicycle = $296.71
Three bicycle reflectors = $12.34 each
Pair of a bike gloves = $33.66.
New biking outfits = $68.49 each.
Let the number of new biking outfits be x
So, we have the inequality;
New bicycle + 3 times price of bicycle reflectors + Pair of a bike gloves + New biking outfits ≤ Budget
This gives;
296.71 + 3( 12.34) + 33.66+ 68.49x ≤ 700
296.71 + 68.49x ≤ 700
Solve the inequality
367.39 + 68.49x ≤ 700
Hence, the inequality that can be used to determine x, the number of outfits Indigo can purchase will be; 367.39 + 68.49x ≤ 700
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2. Use the distributive property to expand 0.05(50 + 40). (2 POINTS
100 BRAINLY POINTS FOR WHOEVER ANSWERS
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
A $10 T-shirt is on sale for $4. What is the percent of the discount?
Answer:
The t-shirt is 60% off.
Step-by-step explanation:
If the t-shirt cost ten and is on sale for $4, then the t-shirt is sold for 6/10 less. 6/10=60%. The t-shirt is 60% off.
y= -6x^{2} -36
what would it be in vertex from
The vertex form of a parabola is represented by the equation y = -6 (x-0)² -36 -0.
What is a vertex form?
And this equation gives you the vertex of a parabola. h is removed from and k is inserted in the vertex form equation. We can calculate h and k from the equation. The value of h is -b/2a. It is an alternate way of writing out the vertex form. In vertex form, we use the process of completing a square. A quadratic function can also be easily solved algebraically in the vertex form (if it has a solution). Completing the square, also known as converting a quadratic function from standard form to vertex form, is the first step in solving an equation.
The given equation is y = -6x² -36
So, a= -6, b = 0, c = -36
The general formula for the vertex form is given by
y = a[x - (-b/2a))² + c - b²/4a
y = -6((x - (-0/2(-6)))² + -36 - 0²/4(-6)
y = -6 (x-0)² -36 -0
Therefore, the vertex form is y = -6 (x-0)² -36 -0.
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PLS HELP THIS IS DUE TOMORROW ITS RATIONAL NUMBERS AND I NEED A EXPLANATION ON HOW TO DO IT PLS HELP
Answer:
[tex]\frac{7}{16}=0.4375[/tex]Step-by-step explanation:
To write a fraction as a decimal, you need to divide the numerator by the denominator.
[tex]\frac{7}{16}[/tex][tex]\frac{7}{16}=0.4375[/tex]If 40% of 95 is 38, what is 4% of 95?
If 40% of 95 is 38, what is 4% of 95?
Answer: 3.8
The triangles in the figure below are similar.
image b125a080d0e9444e9eebf9b6644403df
Which proportion is correct?
A.
x20=96
x
20
=
9
6
B.
x20=915
x
20
=
9
15
C.
2015=x6
20
15
=
x
6
D.
x20−x=156
x
20
−
x
=
15
6
The perimeter of the triangle is 12 in.
What is perimeter of similar triangle?
The perimeter of similar triangle is equal to the ratio of the similar sides of the triangle. The ratio of two similar perimeters of two similar shapes is equal to the ratio of the lengths of their corresponding sides.
Here, perimeter of triangle PQR = sum of all the side
=12+20+16
=48
The ratio of the corresponding side = 12/3
=4/1
Hence, the perimeter of triangle xyz = ?
perimeter of triangle PQR /perimeter of triangle xyz =4/1
48/x =4/1
x = 48/4
=12
Hence, the perimeter of triangle xyz = 12
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what are two ways that you can present 27 using 3
The two ways that you can represent 27 using 3 are; 3 * 3 * 3 and 3³
How to express factors of a number?A factor of a number is a number or algebraic expression that divides another number or expression evenly.
Now, 3 is a factor of 27 and since we want to represent 27 using only 3, one way to do it is; 3 * 3 * 3 = 27.
Now, in laws of exponents, we know that;
y² = y * y
and y³ = y * y * y
Thus, another way to represent 27 with only 3 using laws of exponents is; 3³ = 27
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Michelle has a math assignment with 60 problems you saw one picture of the problems of school then Michelle solve 1/4 of the problems at home how many problems does Michelle have left to solve
Step 01:
Data
total math problems = 60
problems solved = 1/4
problems
Step 02:
Which equation represents the same line as the points in the table?
Input (x) Output (y)
−6 0
0 −2
3 −3
y= −1/3x−2y is equal to negative 1 third x minus 2
y=−2x−1/3y is equal to negative 2 x minus 1 third
y=−1/3x−6y is equal to negative 1 third x minus 6
y=−6x−2
The equation that represents the same line as the points in the table is y = - 1 / 3 x - 2
How to find the equation of a line?The equation of a line in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptUsing the table let's find the slope of the line as follows:
(-6, 0)(0, -2)
slope = m = -2 - 0 / 0 + 6
slope = - 2 / 6
slope = - 1 / 3
Therefore, let's find the y-intercept of the line using (0, -2).
y = - 1 / 3x + b
-2 = - 1 / 3 (0) + b
b = -2
Therefore, the equation of the table is y = - 1 / 3 x - 2
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find the counterexample to show that the statement is incorrect the difference of any two counting numbers will be a counting number.a: 7-4=3, which is not a counting numberb: 3-5=-2 which is not a counting numberc: 10-2=8 which is a counting numberd: there is no counterexample the statement is correct
The counting number are the integers that are used for counting like 1, 2, 3, 4, 5...
The number -2 is not a counting number therefore, the difference between 3 and 5, which are counting numbers is not a counting number. The answer is b.
Based on the pattern in the table, what is the value of a?
-64
Powers of 2
2-²
2-3
244
2-5
2-6
Value
1
2
4
1
80
1
16
1
32
a
Answer:
equation and fraction addition and subtraction
help pleasee!!! A quick answer would be greatly appreciated
In first question, the value of Angle 1 is 42 and the value of Angle 2 is 48.
In second question, the value of Angle 1 is 11, Angle 2 is 159, Angle 3 is 11, Angle 4 is 165.
In the given question, have two question.
Firstly solving the question 1.
1) In question 1 we have to find the measure of Angle 1 and Angle 2.
There is figure. In this figure we can see that it is a right angle.
The right angle is of 90 degree.
So x+x+6=90
Simplifying the expression
2x+6=90
Subtract 6 on both side
2x+6-6=90-6
2x=84
Divide by 2 on both side
2/2x=84/2
x=42
The value of x is 42.
Now The value of Angle 1 is 42.
Now finding the Angle 2.
Angle 2 is x+6 and x=42
So
=42+6
=48
Hence, the value of Angle 2 is 48.
2) In this question we have to find the value of Angle 1,2,3 and 4.
To solve this question we using the straight line angle.
As we know that the angle of straight angle is 180.
So from the figure we can see that
∠2+∠3=180
As we know that ∠3=2x+3
So ∠2+2x+3= 180
Subtract 3 on both side
∠2+2x+13−13=180−13
∠2+2x=167................Equation 1
As we can also know from the figure that
∠1+∠4=180
And ∠1=x+7
x+7+∠4=180
Subtract 7 on both side
x+7+∠4−7=180−7
∠4+x=173.......................Equation 2
From the corresponding angle theorem we know
∠1=∠3
2x+3=x+7
Subtract 3 on both side
2x+3−3=x+7−3
2x=x+4
Subtract x on both side
2x−x=x+4−x
x=4
Now putting the value of x in Equation 1
∠2+2x=167
∠2+2×4=167
∠2+8=167
Subtract 8 on both side
∠2+8−8=167−8
∠2=159
Now putting the value of x in Equation 2
∠4+x=173
∠4+4=173
∠4+4=173
Subtract 4 on both side
∠4+4−4=173−8
∠4=165
∠3=2x+3
∠3=2×4+3
∠3=8+3
∠3=11
∠1=x+7
∠1=4+7
∠1=11
Hence, the value of Angle 1 is 11, Angle 2 is 159, Angle 3 is 11, Angle 4 is 165.
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