Answer:
t < 23
Step-by-step explanation:
t - 2 < 21
Step 1 : Add 2 on both sides.
t - 2 + 2 < 21 + 2
t < 23
Angle classification/relationships
Angles are another way to categorize triangles. Each of the three angles in an acute triangle is acute (less than 90 degrees). One right angle and two acute angles make up a right triangle. Additionally, an obtuse triangle has two acute angles and one obtuse angle (greater than 90 degrees).
What does the triangle's angle relationship mean?
Angles and sides in relation to one another The biggest side and angle in any triangle are in opposition to one another. The smallest side and angle in every triangle are on opposing sides. The middle side and middle angle are always in opposition to one another in triangles.
A congruent triangle ,
if all of two triangles' sides match, then they are said to be congruent.
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Sophie can type 129 words in 3 minutes. How many minutes will it take her to type 559 words?
EXPLANATION:
To solve the exercise we must make a rule of three.
The exercise is as follows:
[tex]\begin{gathered} 129\text{ }words\text{ }\rightarrow3\text{ minutes} \\ 559\text{ words}\rightarrow x \\ \frac{559\times3}{129}=13\text{ minutes} \\ \text{the answer is 13minutes} \end{gathered}[/tex]for anyone that knows how to do this i only need help with these two questions
-4x-1=-y
solve for y
-4y+20+3x=0
solve for y
[tex]-4x-1=-y\\y[/tex]
Flip the equation:
[tex]-y=-4x-1[/tex]
Divide both sides by -1:
[tex]\frac{-y}{-1} =\frac{-4x-1}{-1}[/tex]
[tex]y=4x+1[/tex]
__________________________________________________________
[tex]-4y+20+3x=0\\y[/tex]
Add -3x to both sides of the equation:
[tex]3x-4y+20+-3x=0+-3x\\-4y+20=-3x[/tex]
Add -20 to both sides of the equation:
[tex]-4y+20+-20=-3x+-20\\-4y=-3x-20[/tex]
Divide both sides by -4:
[tex]\frac{-4y}{-4} =\frac{-3x-20}{-4}[/tex]
[tex]y=\frac{3}{4} x+5[/tex]
The sizes of two matrices A and B are given. Find the sizes of the product AB and BA, whenever these products exist.A=3*2, B=2*3
Let's begin by identifying key information given to us:
A is a 3 x 2 matrix
B is a 2 x 3 matrix
AB is the product of 3 x 2 matrix & 2 x 3 matrix. We obtain a 3 x 3 matrix
Therefore, the size of the product of A & B (that is AB) is a 3 x 3 matrix whenever these products exist
explain why the solution to the equation |x-2|-1=x+3 is 1
[tex]|x-2|-1=x+3\rightarrow|1-2|-1=1+3\rightarrow1-1=4\rightarrow0=4[/tex]
Please help this is urgent your effort is appreciated
Answer:
3
Step-by-step explanation:
the sides of a rectangle are in the ratio 4:5.If the breadth is 10cm find the length of the rectangle
Answer:
If breadth means width then it will be 12.5
X=
//////////////////////////
Answer:
x = 15
Step-by-step explanation:
150+3x-15=180 because of same-side interior angles therorem.
Then, we solve the problem to get 15.
Hope this helped! :)
The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?
A) 1/5
B) 1/2
C) 2
D) 5
Answer:
A
Step-by-step explanation:
the rate of change of y with respect to x.
that is the regular slope of the linear function, which is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.
from (5, 2) to (10, 3)
x changes by +5 (from 5 to 10)
y changes by +1 (from 2 to 3)
the slope or rate of change is
+1/+5 = 1/5
PLS BE DONE RIGHT AWAY, VERY APPRECIATED
Write an equation in slope-intercept form of the line that passes through the given points. PLEASE HELLLPPPPPPPPP.....
The equation of the table in slope intercept form is y = - 5 / 2x - 1
How to write equation in slope intercept form?Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.
But the equation of the table below will be represented in slope intercept form.
The equation in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, using (-4, 9)(-2, 4)
m = 4 - 9 / -2 + 4
m = - 5 / 2
Hence, let's find the y-intercept using (0, -1)
y = - 5 / 2x + b
-1 = - 5 / 2(0) + b
b = -1
Therefore, the equation is y = - 5 / 2x - 1
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Use square roots to solve the equation x2 = –64 over the complex .numbers. Select any solutions that apply.
an 8i
b -8
c -8i^2
d -8i
[tex]x^2=-64\implies x=\sqrt{-64}\implies x=\sqrt{-1\cdot 64}\implies x=\sqrt{-1}\cdot \sqrt{64} \\\\\\ x=\sqrt{-1}\cdot 8\implies x=i\cdot 8\implies x=8i[/tex]
Please help i really need help please
Answer:
plane CGF and ABC
Step-by-step explanation:
Which subset of real numbers is the best one to use to describe discrete data?numbers of students in a school district, the number of home runs hit by a baseball team, etc..,
GIVEN
The subset that best describes discrete data.
SOLUTION
Discrete data is a count that involves integers — only a limited number of values is possible.
Discrete data includes discrete variables that are finite, numeric, countable, and non-negative integers. These data are usually prefixed by "the number of..."
Whole numbers are the best for describing discrete data.
ANSWER
Whole numbers are the best subset of real numbers to describe discrete data.
How can the rate of a reaction be decreased?
O adding a catalyst
O lowering the temperature
O increasing the amount of reactants
O having more surface area
Max and his friends picked apples at an apple orchard. The weight in pounds, each person's bag of apples are listed below.what is the interquartile range, in pounds, of the wait?
Answer:
Choice A. 1.1
Explanation:
Which expression represents the quotient of d and 11d÷11d×11d-11d+11
Answer:
A. d ÷ 11
Explanation:
The quotient of two terms is the division of the first term by the other term.
If we say the quotient of d and 11, we write it mathematically as:
[tex]d\div11[/tex]The correct choice is A.
when the proper fraction $\frac{n}{37}$ is written as a repeating decimal, the sum of the first $40$ digits to the right of the decimal point is $236$. what is $n$?
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972
What is decimal?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
A fraction expressed in a particular way is called a decimal. As an alternative to expressing 1/2, you might write 0.5 instead, with the zero in the ones place and the five in the tenths position.
n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972
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8. On a school basketball team, 13 out of 16 students are in Grade 8.
a) Write a proportion that you could use to calculate the percent of the students who are in Grade 8.
in the graph, the coordinate point (4,-9) is ____in the graph, the coordinate point (1,0) is ____in the graph, the coordinate point (7,0) is ____in the graph, the coordinate point (4,0) is ____the options: an x-intercept, a y-intercept, a vertex, on the line of symmetry
Answer:
In the graph, the coordinate point (4,-9) is a vertex
In the graph, the coordinate point (1,0) is an x-intercept
In the graph, the coordinate point (7,0) is an x-intercept
In the graph, the coordinate point (4,0) is on the line of symmetry.
Explanation:
The x-intercepts are the points where the parabola crosses the x-axis, so the coordinates of the x-intercepts are (1, 0) and (7, 0)
The y-intercept is the point where the parabola crosses the y-axis, so the y-intercept is (0, 7)
The vertex is the minimum point of the parabola, in this case, (4, -9).
The line of symmetry depends on the first coordinate of the vertex, so the line of symmetry is x = 4. It means that any point with a first coordinate equal to 4 is on the line of symmetry.
Then, the answers are:
In the graph, the coordinate point (4,-9) is a vertex
In the graph, the coordinate point (1,0) is an x-intercept
In the graph, the coordinate point (7,0) is an x-intercept
in the graph, the coordinate point (4,0) is on the line of symmetry.
HURRY WILL MARK BRAINLIEST
Evaluate.
(18−42+2)21÷4⋅12
Responses
2
32
64
128
Answer:
128
Step-by-step explanation:
solve for inside parentheses:
-22x21÷4-12
do multiplication and division:
-115.5-12
subtract:
-127.5
Hope this helps
A 20-ounce bottle of lotion costs $3.95. How much does each ounce cost?
A 20-ounce bottle of lotion costs $3.95 then each of the ounce of the bottle will cost 0.173 ounce.
How can the cost of each of the bottle of lotion be calculated?we were told that the cost of the 20-ounce bottle of lotion is $3.95
then we can know the value cost of just one of the bottle of notion by using the expression below
X = the cost of each of the bottle of lotion
then X= $3.95 / 20-ounce bottle= 0.173 ounce
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an engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 140 lbs. and 190lb. the new population of pilots has normally distributed weights with a mean of 158 lbs. and a standard deviation of 27.2 lb. find the probability that a pilot weight is between 140 lbs. and 190 lbs. the probability that the pilot weighs between 140 and 190 pounds is
The probability that the pilot weighs between 140 and 190 pounds is 0.6262.
When provided,
µ = 158
σ = 27.2
We must determine P(140 x 190).
P(140< x < 190) = P(x< 190) - P(x<140)
Locate P(x 190).
Z = (x - µ)/σ
Z = (190 - 158)/27.2
Z = 1.176471
P(Z<1.176471) = P(x<190) = 0.880297
[This probability can be determined using a z-table, Excel, Ti-83/84 calculator, software, etc. Z-table is less accurate than other methods in terms of value.]
Find P(x>140) now.
Z = (x - µ)/σ
Z = (140 - 158)/27.2
Z = -0.66176
P(Z<-0.66176) = P(x<140 ) = 0.254061
P(140< x < 190) = P(x< 190) - P(x<140)
P(140< x < 190) = 0.880297 - 0.254061
P(140< x < 190) = 0.626236
The necessary probability is 0.6262.
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Answer:
Step-by-step explanation:
0.626 is the probability that the pilot weighs between 140 and 190 pounds.
Mean (µ ) = 158
S.D(σ ) = 27.2
P(140 x 190)=?
P(140< x < 190) = P(x< 190) - P(x<140)
Find P(x 190).
Probability determined using Z-table.
Z = (x - µ)/σ
= (190 - 158)/27.2=1.176471
P(Z<1.176471) = P(x<190) = 0.88
Find P(x>140)
Z = (140 - 158)/27.2= -0.66176
P(Z<-0.66176) = P(x<140 ) = 0.254
P(140< x < 190) = 0.88 - 0.254
= 0.626
Therefore probability is 0.626.
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State if there appears to be a positive correlation, negative correlation, or no correlation. When there is a correlation, identify the relationship as linear or nonlinear.
Answer:
Negative Correlation:
Linear relationship
Explanation:
We can draw the line of best fit through the points given, and this indicates that the relationship is linear. Furthermore, the line of best fit has a negative slope (which tells us that if one variable increases, the other decreases); therefore, the data set has a negative correlation
of all postsecondary degrees awarded in the united states, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is white, and 12% are associate's degrees earned by whites. what is the conditional probability that a degree is earned by a person whose race is white, given that it is an associate's degree? give your answer to three decimal places.
The conditional probability that a degree is earned by a person whose race is white, given that it is an associate's degree, is 0.571.
The percentage of associate's degrees is 21%.
The percentage of degrees earned by people whose race is white is 58%.
The percentage of associate's degrees out of all degrees earned by people whose race is white is 12%.
Let the probability of earning an associate's degree be P(A).
P(A) = 0.21
Let the probability of earning a degree by the people whose race is white be P(B).
P(B) = 0.58
Let the probability of earning an associate's degree by the people whose race is white be P(C).
P(C) = 0.12
P(C) = P(A∩B)
We need to find the conditional probability that a degree is earned by a person whose race is white, given that it is an associate's degree.
P(B/A) = P(A∩B)/P(A)
P(B/A) = 0.12/0.21
P(B/A) = 0.571
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can you please help me
We have to calculate the area and perimeter of ABC.
Area:
We can calculate the area by substracting from the area of the big triangle ABD the area of the little triangle BCD. Both are right triangles.
The area of ABD is:
[tex]A_{\text{ABD}}=\frac{b\cdot h}{2}=\frac{(15+5)\cdot12}{2}=\frac{20\cdot12}{2}=\frac{240}{2}=120[/tex]The area of BCD is:
[tex]A_{\text{BCD}}=\frac{b\cdot h}{2}=\frac{5\cdot12}{2}=\frac{60}{2}=30[/tex]Then, the area of ABC is:
[tex]A_{\text{ABC}}=A_{\text{ABD}}-A_{\text{BCD}}=120-30=90[/tex]The area of ABC is 90 cm^2.
Perimeter:
We calculate the perimeter by adding the length of the three sides. We know only 2 of the sides, so we have to calculate the other one (BC).
The length of BC can be calculated using Pythagorean theorem for the triangle BCD, so we can write:
[tex]\begin{gathered} BC^2=CD^2+BD^2=5^2+12^2=25+144=169 \\ BC=\sqrt[]{169}=13 \end{gathered}[/tex]Now, we can calculate the perimeter as:
[tex]P_{\text{ABC}}=AB+BC+AC=25+13+15=53[/tex]The perimeter is 53 cm.
mad elf is a holiday beer that is 11.0% abv. a 12 oz bottle of mad elf has 300 calories. the rest of the calories, other than alcohol, come from carbohydrates. approximately how many grams of carbohydrates are in mad elf?
The bottle contains 9.36 g of carbohydrates.
We have,
12 oz bottle contains 300 calories
We know, 1 oz = 23.35 g
12 oz = 12 * 23.35 g =280.2 g of bottel
Alcohol content = 11 %
So, the total number of alcohol in the bottle is [tex]\frac{11}{100} *280.2 = 30.8 g[/tex]
So, the bottle contains 30.8 g of alcohol.
1 gram of alcohol 7 cal of energy,
So, 30.8 g of alcohol = 7 * 30.8 cal of energy
= 215.7 cal of energy
So, out of a total of 300 calories of mad elf, 215.7 calories come from alcohol.
So, (300-215.7 ) = 84.3 calories come from carbohydrates.
Each gram of carbohydrate produces 9 calories of energy.
9 calories of energy from 1 gram of carbohydrate,
1 calorie of energy from 1/9 of carbohydrate.
So, 84.3 calories from [tex]\frac{1}{9}*84.3 = 9.36 g[/tex]
Hence, the bottle contains 9.36 g of carbohydrates.
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An archeologist in Turkey discovers a spear head that contains 85% of its original amount of C-14. k = 0.0001 Find the age of the spear head to the nearest year.
The age of the spear head is found to be 1625 years.
What is the age?Let us recall that the age of the sample can be determined by the use of radiometric dating. Let us now define the variables;
The constant of the decay (k) = 0.0001
The amount of the sample originally present (No) = No
The amount of the sample at time t = 0.85No
t = The age of the sample
Given that;
N= Noe^-kt
N/No = e^-kt
0.85No/No = e^-0.0001t
0.85 = e^-0.0001t
ln0.85 = -0.0001t
t = ln0.85/ -0.0001
t = 1625 years
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(6x10^2)/(3x10^-5) standard form
Answer:
2×10^7
Step-by-step explanation:
cuz 3:6 is 2 and 10^2÷10^-5 equals 10⁷
Answer:
2×10^7
Step-by-step explanation:
6×10²/3×10^5
6/3×10²-10^-5
2×10²-^(-5)
2×10²+^5
2×10^7
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in order to determine an interval for the mean of a population with unknown standard deviation, a sample of 59 items is selected. the mean of the sample is determined to be 32. what is the associated number of degrees of freedom for reading the t value?
The associated number of degrees of freedom for reading the t-value is 58.
The aim is to determine an interval for the mean of a population.
The standard deviation is unknown to us. The sample consists of 59 items. The mean of the sample is determined to be 32. We need to calculate the associated number of degrees of freedom for reading the t value.
We know that the degree of freedom is one less than the number of items in the sample space.
The associated number of degrees of freedom for reading the t-value is 59-1.
The associated number of degrees of freedom for reading the t-value is 58.
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