In the expression 10p + 3q + 2 we have total three terms -
10p, 3q and 2.
What is expression in mathematics?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given in the question is a expression as follows -
10p + 3q + 2
In order to identify the number of terms in this expression, it is important to keep in mind that the terms of an expression are separated from one another by the following → + (Addition), - (Subtraction). In some cases, (equal to) '=' , (less than) '<' , (greater than) '>' are also used
There are total 3 terms as -
10p, 3q and 2.
Therefore, in the expression 10p + 3q + 2 we have total three terms -
10p, 3q and 2.
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Help me quick please!
Answer:
[tex]-3x^{2} +7x- 4[/tex]
Step-by-step explanation:
use the FOIL method by multiplying: first, outer, inner, last
(4 - 3x)(x - 1)
[tex]4x - 4 -3x^{2} +3x[/tex]
combine x terms:
[tex]- 4 -3x^{2} +7x[/tex]
rearrange terms:
[tex]-3x^{2} +7x- 4[/tex]
Determine whether the two figures are similar.
Please help me, Thank you ;)
Answer:
Step-by-step explanation:
The first 2 are similar because the corresponding angles are equal.
The second 2 are also similar as correspond sides are in the same ratio
5/10 = 6/12 = 9/18.
What does the following histogram tell us about the scores on the Unit 1 Exam?
A most students scored 95% on the exam.
B The mean of all the scores was 70%
C most students scored in the 80-90 range
D the highest score on the exam was 100
The frequency counts of values for the various levels of a nominal or categorical variable are displayed in bar charts. Bar graphs can also display additional statistics, including percentages. A sample bar chart for survey response data
Explain about bar chart?
When you have at least one category or discrete variable, use bar charts to compare categories. Longer bars denote greater values, and each bar represents a summary value for one discrete level. Counts, sums, averages, and standard deviations are a few examples of summary values. Bar graphs are another name for bar charts.
A bar graph is a visual tool that employs bars to compare data between categories. It is sometimes referred to as a bar chart or bar diagram. A bar graph can be vertically or horizontally oriented. It's crucial to understand that a bar's value increases with length.
Most students scored in the 80-90 range
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on the coloring sheet, find a ratio that is equivalent to 4/11
The equivalent ratio to 4/11 is 12 : 33
The equivalent ratio is what?Two ratios are considered to be equivalent when we compare them.
Equivalent ratios are two ratios with the same value. By multiplying or dividing the two amounts by the same number, you may determine the corresponding ratio.
It is possible to compare two or more ratios to one another to see if they are equal.
The ratios 1:2 and 2:4 are two examples of equivalent ratios.
In this case, multiplying 4 by 3 and 11 by 3 yields the answer 12: 33, which is the same as 4: 11.
As a result, we may state that 12: 33 is the comparable ratio to 4/11.
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Solve for d.
d
3
+ 23
= 28
Answer:
what ?????? any more information about solving for d
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
m = -2
Step-by-step explanation:
because of rise/run you can simply see the slope
There are 550 students in the school. Predict how many students at the school prefer track and field.
The size of the sample is 20 and 4 people's favorite sport is track and field. The probability is [tex]\frac{4}{20}[/tex].
Probability is the chance of an event to occur from a number of possible outcomes.
The number of students at the school who prefer track and field is 110.
What is probability?It is the chance of an event to occur from a number of possible outcomes.
It is given by:
Probability = Number of required event / Total number of outcomes
We have,
Number of students = 550
Sample:
Number of students = 20
Number of students whose favorite sport is track and field = 4
The probability of students whose favorite sport is track and field:
= 4/20
Now,
If 4 out of 20 students' favorite is track and field.
20 students = 4
Multiply 550/20 on both sides.
550/20 x 20 students = 550/20 x 4
550 students = 110
This means that,
There will be 110 students who prefer track and field.
Thus,
The number of students at the school who prefer track and field is 110.
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a researcher is conducting an experiment comparing how sleep affects student grades. three different groups are being compared, group 1 sleeps between 2-4 hrs per night, group 2 sleeps between 5-7 hrs per night and group 3 gets over 8 hrs of sleep per night. should the researcher conduct a series of t-tests comparing each group or should one anova be conducted to compare the groups? why?
One ANOVA must be used to compare the groups as there are more than 2 groups and each group has many data values.
The t test, analysis of variance (ANOVA), and covariance analyses are statistical methods used in the testing of the hypothesis for the comparison of means between the groups (ANCOVA).
The Person's t test is used to compare means between two groups, while an ANOVA is used to compare means among three or more groups. In an ANOVA, first is given a shared P value. For at least one pair where the average difference is statistically significant, the ANOVA test yields a significant P value. To identify the crucial pair, we do several comparisons . Two-way ANOVA employs two category independent variables, whereas one-way ANOVA uses simply one categorized independent variable. when there is at least one predictor variableSimilar to other tests, the null hypothesis and the alternative hypothesis are both categories of hypotheses. The alternative hypothesis suggests that there is a statistically significant difference between the means, in contrast to the null hypothesis, which asserts that there is no statistically significant difference in the means.To learn more about ANOVA visit:
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A group of 50 people were asked their gender and if they liked cats. The data from the survey are shown in the Venn diagram.
Determine the value for each variable in the two-way table.
a =
b =
c =
d =
e =
From the information given in the Venn Diagram and the attached table,
a = 13
b = 28
c = 6
d = 22
e = 31
See the calculation below.
What is a Venn Diagram?A Venn diagram is a famous diagram form that depicts the logical relationship between sets. It was popularized by John Venn in the 1880s.
The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach introductory set theory and to show simple set connections.
With regard to the above calculation, the key to unlocking other unknowns is to first solve for E.
The last row gives the total for each column. Hence, adding 15 + 16 gives us the value of e.
15 + 16 = 31 This can also be arrived at by 50-19 = 31
The Venn diagram reads that 6 Males like cats Hence,
c= 6
d = 6 +16 = 22
a = 19-6 = 13
b = 50 -22 = 28
Hence, a = 13, b = 28, c = 6, d = 22, e = 31
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Answer:
From the information given in the Venn Diagram and the attached table,a = 13b = 28c = 6d = 22e = 31
Step-by-step explanation:
From the information given in the Venn Diagram and the attached table,a = 13b = 28c = 6d = 22e = 31
What’s the value of x
(9x-8) (x+10) (x+2)
Answer:
-1440
Step-by-step explanation:
because mi don't know
Write an equation in slope-intercept form for the line that contains the point
(5,-3)and is parallel to the line y = 4x +2
The equation for the line that contains the point (5,-3)and is parallel to the line y = 4x +2 is obtained using the point-slope form of the line as y=4x-23.
How can a line that passes through a point be found to be parallel to another line?Use the point's coordinates for (a, b) in the point-slope form to get a line that passes through the point and is parallel to a line: y - b= m (x -a). Simply enter the slope of the previous line for m.
A point (5,-3) and a line y = 4x +2 are given.
Find the slope of the given equation of the line.
On comparison of the given equation of the line with the standard equation of the line, y=mx+c
m=4
Plug the given point and the slope in the point-slope form of the line.
y-(-3)=4(x -5)
y+3=4x-20
y=4x-23
So, the required equation of the line is y=4x-23
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An automobile uses 27 pints of fuel for every 63
miles traveled. How many pints of fuel does the
automobile use to travel 7 miles ?
Using the law of sines, determine whether the given information results in one triangle, two triangle or no triangle at all. Solve any triangle that results. a=8angle B = 57 degreeAngle A =49 degree
step 1
Find out the measure of angle C
Remember that
In any triangle, the sum of the interior angles must be equal to 180 degrees
so
A+B+C=180 degrees
substitute given values
49+57+C=180
C=180-106
C=74 degrees
step 2
Find out the length side b
Applying the law of sines
[tex]\frac{a}{sinA}=\frac{b}{sinB}[/tex]substitute
[tex]\frac{8}{s\imaginaryI n49^o}=\frac{b}{s\imaginaryI n57^o}[/tex]Solve for b
[tex]\begin{gathered} b=\frac{8*s\mathrm{i}n57^o}{s\imaginaryI n49^o} \\ \\ b=8.89\text{ ---> rounded to two decimal places} \end{gathered}[/tex]step 3
Find out the length side c
Applying the law of sines
[tex]\frac{a}{s\imaginaryI nA}=\frac{c}{s\imaginaryI nC}[/tex]substitute
[tex]\frac{8}{s\imaginaryI n49^o}=\frac{c}{s\imaginaryI n74^o}[/tex]solve for c
[tex]\begin{gathered} c=\frac{8*s\mathrm{i}n74^o}{s\imaginaryI n49^o} \\ \\ c=10.19\text{ ----> rounded to two decimal places} \end{gathered}[/tex]therefore
N of triangles is only oneb=8.89c=10.19C=74 degreesPic below&;73737 the haheheueu
Answer:
4.)
Radius: 2.4cm
Diameter: 4.8cm
Circumference: 15.072cm
5.)
Radius: 3.5cm
Diameter: 7cm
Circumference: 21.98cm
6.)
Radius: 7cm
Diameter: 14cm
Circumference: 43.96cm
Step-by-step explanation:
Radius: [tex]d[/tex] ÷ [tex]2[/tex]
Circumference: [tex]d[/tex] × [tex]\pi[/tex] or [tex]2[/tex] × [tex]\pi[/tex] × [tex]r[/tex]
Have a great day <3
There are 22 Skittles in a bag The ratio of yellow Skittles to purple Skittles is 8 to 3. Use a
table or diagram to find the number of yellow Skittles
(Solving Two-Step Equations MC)
Solve the equation for v.
v over 6 minus 3 equals negative 11
v = 24
v = 63
v = −48
v = −84
Solving the equation, v/6 - 3 = -11, for v, the value of v = -48.
How to Solve an Equation?To solve a given equation, we are required to find the value of the variable in the equation that would make the equation true.
To solve for the variable in an equation, we would need to apply the right properties of equality in other to isolate the variable towards one side of the equation to get the value of the variable.
Given the equation, v/6 - 3 = -11:
v/6 - 3 = -11
Add 3 to both sides
v/6 - 3 + 3 = -11 + 3 [addition property of equality]
v/6 = -8
Multiply both sides by 6
v/6 × 6 = -8 × 6 [multiplication property of equality]
v = -48
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HELP RIGNT NOW ASAP GIVING BRAINLY PLUS 15 points
Answer:
ITS THE ONE RIGTH AFTER THE QUESTION AKA THE SECOND PHOTO YOU SENT I SEARCHED IT UP FOR YOU
Find the following measures:
FE=?
CF=?
CE=?
GD=?
m < CED= ?
m < CFE= ?
m < CDF= ?
m < DGE= ?
PLEASE HELP ME FIND THE MEASURE ITS URGENT
A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.
What are a parallelogram's characteristics?
Parallelograms' characteristics
Congruent sides are those when AB = DC.Congruent opposite angels are D = B.(A + D = 180°) Consecutive angles are supplementary.All angles are correct if just one of them is.A parallelogram's diagonals cut each other in half.A quadrilateral is referred to as a parallelogram in geometry.
The opposite sides of a parallelogram are parallel and of equal length. Rhombus, rectangle, and square are a few instances of parallelograms.
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Which equation written below in vertex form is equivalent to the equation?
First, consider that a quadratic equation in vertex form is given by:
[tex]y=a(x-h)^2+k[/tex]where a is the leading coefficient and (h,k) is the vertex of the curve.
You have the following equation:
[tex]y=x^2-6x+12[/tex]In this case, the leading coefficient is a = 1.
The vertex is determined as follow:
Use the following formula to find h:
[tex]h=-\frac{b}{2a}=-\frac{-6}{2(1)}=3[/tex]where we have used b = -6.
Now, to find k use:
[tex]f(h)=(3)^2-6(3)+12=9-18+12=3[/tex]Then, h = 3 and k = 3.
By replacing the values of a, h and k, you obtain:
[tex]y=(x-3)^2+3[/tex]The previous result is the given equation in vertex form.
1. John and William leave their home traveling in opposite directions on a straight road. John drives20 miles per hour faster than William. After 4 hours they are 240 miles apart. Find both of theirrates.
we have the following:
John's rate = x mph
William's rate = x -20 mph
[tex]\begin{gathered} v=\frac{d}{t} \\ d=d\cdot t \\ d=x+x-20=2x-20 \\ t=4 \end{gathered}[/tex]d = d, therefore:
[tex]\begin{gathered} 4\cdot(2x-20)=240 \\ 8x-80=240 \\ 8x=240+80 \\ x=\frac{320}{8} \\ x=40 \end{gathered}[/tex]John's rate = 40 mph
Willams's rate = 40 - 20 = 20 mph
The production manager is going to present this information to the company's board of directors. Which graph should the manager use to best emphasize that the number of defects has remained relatively consistent throughout the year?
Managers should utilize Graph 3 to stress that the defect rate has remained largely stable over the course of the year.
In graph 1, the timeline is typically placed on the horizontal axis for simplicity, and the amount to be measured is typically placed on the y-axis. The time is on the vertical axis (x-axis) in graph 1, making it a poor choice for the management. The vertical axis of time is used again in graph 2 in the same way. So using graph 2 is not a good idea.
The number of flaws in Graph 3 may be best highlighted by placing time on the horizontal axis and the quantity to be displayed on the vertical axis. Second, because the vertical axis range is less, it is simpler to see the data set on the graph rather clearly. The optimum choice is therefore graph 3.
Graph 4's vertical axis range is fairly large, which causes the dispersion or display of the data to be quite compressed and difficult to visualize. Graph 4's vertical and horizontal axes are situated correctly.
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A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $4.50 initial charge plus $1.65 per mile. Write an equation that can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?
y = 1.65x + 4.50
Step-by-step explanation:We can create a linear equation using the variables given to us to represent this situation.
Linear Equations
Most linear equations are written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.
In context, slope is the cost per mile. That is because the number of miles in the variable in this equation and the cost per mile is the rate at which the variable increases. The y-intercept is the initial charge. That is because the total cost starts a $4.50, even if you haven't gone anywhere yet. Additionally, the initial cost does not change at any point, so it should be a constant.
So, now we can plug the values into slope-intercept form to create a linear equation. (Remember m = 1.65 and b = 4.50)
y = 1.65x + 4.50Solving the Equation
Now that we set up the equation we can solve for y, at different x-values. This means, given the number of miles, we can find the total cost of the trip. We can do this by substituting x-values into the equation.
For example, let's say that a pilot took a 4-mile taxi ride.
First, plug 4 in for x.
y = 1.65(4) + 4.50Then, simplify.
y = 6.6 + 4.50Finally, add the terms together.
y = 11.1This means if a pilot takes a 4-mile taxi ride, then it will cost $11.10.
Calculate the rise and run to find the slope of each line! Please help me!!!
Answer:
m = - ( 1 / 4 )
Step-by-step explanation:
Slope is rise over run.
y = mx + c;
m = ( Δy / Δx );
They give us two points (-4, 3) and (4, 1).
The change is the difference.
Δy = 3 - 1 = 2;
Δx = -4 - 4 = -8;
m = ( 2 / -8 );
m = -( 1 / 4 );
Negative Quarter
Evaluate (5.44×10−4)+(3.6×10−5) . Express the result in scientific notation.
Using BODMAS, the resultant answer of the given expression is 81.4.
What is BODMAS?BODMAS rule is a rule or order that is used to simplify the arithmetic expression involving more operators in mathematics.The full form of BODMAS is:Brackets (Parts of a calculation inside the bracket always come first).Precedence of brackets are : [{(bar)}]Orders (powers and square roots)DivisionMultiplicationAdditionSubtractionEach letter of the word stands for the first letter of an operator. If an expression involves two or more similar operators that appear in succession, then the precedence is from left to right. By using BODMAS, we can evaluate an expression in the correct order of precedence.Given, problem is (5.44×10−4)+(3.6×10−5):
First, solve inside the brackets, and will start with multiplication.
We get,
(54.4-4)+(36-5)now, solving the values inside the brackets, we get
=(50.4) +(31)Now, we will open the brackets and apply addition, we get
= 81.4Hence, the value is given by 81.4.
Therefore, using BODMAS, the resultant answer of the given expression is 81.4.
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A student needs at least seven hours of sleep each night. The student goes to bed at 11:00pm and wakes up before 6:30am. Is the student getting enough sleep? Write an inequality for the number of hours of sleep the students gets each night
The student is getting enough sleep because the student is sleeping for 7 hours 30 minutes. The inequality for the number of hours of sleep is x ≥ 7 hours.
What is the inequality?For the student to be getting enough sleep, the student has to sleep for greater than 7 hours. The first step is to determine the number of hours slept.
In order to determine the time the student spent sleeping, subtract the time he slept from the time he woke up. Subtraction is the process that is sued to determine the difference between two or more numbers.
The sign that represents subtraction is -. In this case, 6 : 30am - 11 : 00pm = 7 hours 30 minutes. The sign to use is ≥ because the student can sleep for 7 hours or greater.
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The student is getting enough sleep.
The inequality that represents the number of hours a student should sleep each night is s ≥ 7 hours.
What is the inequality?In order to determine if the student is getting enough sleep, we have to determine the total hours between 11:00pm and 6:30am. The total hours between 11:00pm and 6:30am is 7 hours 30 minutes. 7 hours 30 minutes is greater than 7 hours. Thus, the student is getting enough sleep.
Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The sign that would be used is, ≥ , the greater than or equal to sign
The total hours slept ≥ 7 hours
s ≥ 7 hours
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2x = 5y + 8
3x + 2y = 31
Given the above system of equations, what is the value of y?
A. 2
B. 4
C. 6
D. 9
Answer:
Y is 2
Step-by-step explanation:
First, Solve the equation for the variable y
2y = -3x + 31 : y = -3x/2 + 31/2
Plug this in for variable y in the equation:
2x - 5•(-3x/2+31/2) = 8
19x/2 = 171/2
19x = 171
Solve first equation for the variable x
19x = 171
x = 9
now knowing that x=9, you can plug it into either equation to solve for y.
y = -(3/2)(9)+31/2 = 2
Element X decays radioactively with a half life of 13 minutes. If there are 430 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 6 grams?
[tex]y=a(.5)^\frac{t}{h}[/tex]
It will take 80.63 minutes for the element X to decay to 6 grams.
What is substitution method?
Find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
Element X decays radioactively with a half life of 13 minutes.
There are 430 grams of Element X.
Since, The half life formula to solve the problem is;
[tex]A = a (0.5)^{\frac{t}{h}[/tex]
Where, A is final amount, a is initial amount, t is time and h is half life.
Now, We have;
A = 6, a = 430, h = 13
Substitute in above equation we get;
[tex]6 = 430 (0.5)^{\frac{t}{13} }[/tex]
Solve for t as;
Divide by 430,
[tex]\frac{6}{430} = (0.5)^{\frac{t}{13} }[/tex]
[tex]\frac{3}{215} = (0.5)^{\frac{t}{13} }[/tex]
Take log both side;
[tex]ln\frac{3}{215} = ln(0.5)^{\frac{t}{13} }[/tex]
[tex]ln 3 - ln 215 =\frac{t}{13} ln(0.5)[/tex]
Substitute values of all the log as;
1.09 - 5.37 = t / 13 (-0.69)
- 4.28 = t/ 13 (-0.69)
13 x 4.28 = 0.69t
55.64 = 0.69t
t = 55.64 / 0.69
t = 80.63
Thus, It will take 80.63 minutes for the element X to decay to 6 grams.
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Kelly is Reconstructing her expenses for the past 2 weeks. Here are the records of her expensesKelly bank statement says that she an ending balance of $349. What is Kelly starting balance
Given:
The expenses for the past 2 weeks is as shown in the table
so, the total expenses =
[tex]164+21+113+12+27+55+86=478[/tex]Kelly bank statement says that she has an ending balance of $349
So, the starting balance = 478 + 349 = 827
So, the answer will be: the starting balance = $827
Write the equation of a line that passes through (3,21) and has a slope of 3
Answer:
y = 3x + 12
Step-by-step explanation:
so the point slope form of an equation is is y minus y1 = M (x - X1) where why one equals the first point Y value and X1 is the first point x value and M equals the slope . if you substitute your question into this equation you will you will get y - 21 = 3 ( x - 3).
if you want to be fancy haha you can put this into the linear equation form y = mx + b so then you can add 21 to the other side to get y=3(x-3)+21. after that you foil and get y equals 3x - 9 + 21 . simplify and you get why equals 3x + 12
I need help with this
it is upside down sry...
