THE FIRST TERM( a) IS -8 AND THE DIFFERENCE IS
[tex]d = 0 - ( - 8) \\ d = 8[/tex]
THE LOGIC OF ARITHMETIC SEQUENCE FOR THE 74th term is
[tex]t(74) = a + 73d \\ = - 8 + 73(8) \\ = - 8 + 584 \\ = 576[/tex]
The 74th term is 576
ATTACHED IS THE SOLUTION
Use the figure below and the given information for Questions #5, #6 and #7
ANSWER
18.1
EXPLANATION
AC is the shortest leg of triangle CAD. The hypotenuse is AD = 30 and AC is the opposite leg to the given angle, m∠ADC = 37°.
We can find the length of side AC using the sine of the given angle,
[tex]\begin{gathered} \sin 37\degree=\frac{AC}{AD} \\ \\ \sin 37\degree=\frac{AC}{30} \end{gathered}[/tex]Solving for AC,
[tex]AC=30\sin 37\degree=18.1[/tex]Hence, the length of AC is 18.1.
Linel is shown on the coordinate plane below.Which statement is true about Line I?The slope is less than 0 and the y-intercept is less than zero.The slope is greater than 0 and the y-intercept is less than zero.O The slope is greater than 0 and the y-intercept is greater than zero.O The slope is less than 0 and the y-intercept is greater than zero.
we know that
about the line P
1) the slope is positive, so is greater than zero
2) the y-intercept is negative
therefore
the answer is the second optionThe size of a cell is typically found by capturing an image under a microscope then
using software to measure its diameter. Two cells are measured using this method:
Cell H: 3.52 x 10-3 centimeters
Cell K: 9.1 x 10-4 centimeters
How many times larger is the diameter of cell H than the diameter of cell K? Write
your answer in standard notation, rounding to the nearest tenth.
The diametric size of cell H is 3.86 times larger the diametric size of cell K.
How is a ratio determined?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. A ratio is a comparison or condensed version of two quantities of the same type. We may determine how many times one quantity is equal to another using this relationship. The ratio can be defined as the number that can be used to represent one quantity as a percentage of another.
Given, the diametric size of cell H, say y = 3.52×10⁻³ cm
The diametric size of cell K, say x = 9.1×10⁻⁴ cm = 0.91×10⁻³ cm
The ratio of the diametric size of H to K, y/x = 3.52×10⁻³/0.91×10⁻³ = 3.86
Thus, y = 3.86x, the diametric size of cell H is 3.86 times the diametric size of cell K.
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Which window with the following dimensions is too small to allow a 48-inch piece of glass to fit through it?
28 x 45 inches
36 x 27 inches
40 x 40 inches
40 × 42 inches
The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.
What is meant by dimensions?An object's dimension is a topological measure of the size of its covering properties. It is the number of coordinates required to specify a point on the object.A dimension is a measurement that includes things like length, width, and height. When you talk about an object's or place's dimensions, you're referring to its size and proportions. Dimensions are the powers to which basic units or quantities are raised in order to represent a specific physical quantity. <br> e.g., : In the gravitational constant formula, the length, mass, and time dimensions are 3, -1, and -2, respectively. The dimensional formula is defined as the physical quantity expressed in terms of its basic unit with proper dimensions. Dimensional force, for example. F = [M L T-2] It's because the Force unit is Newton, or kg*m/s2.To learn more about dimensions, refer to:
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Determine whether each function is linear or nonlinear. y-t=n 12 11 13x+
The function y-t = n(12 - 11 + 13x) is linear according to the y-intercept form.
What is linear equation?A first-degree polynomial is a statement that a constant is equal to a first-degree polynomial, or the sum of a group of terms that are each the product of a constant and the first power of a variable.
The formula for a linear equation with n variables is a0 + a1x1 +... + anxn = c, where x1,..., and xn are variables, the coefficients a0,..., and an are constants, and c is a constant.
When there are multiple variables, the equation might be linear for some of the variables but not for others. The equation x + y = 3 is therefore linear in both x and y, as opposed to x + y2 = 0, which is linear in x but not in y.
We have been asked to find if the equation y-t = n(12 - 11 + 13x) is linear or nonlinear.
W know that a equation is linear if its in the y-intercept form
y = mx + b
Lets simplify the equation and we get
y-t = n(12 - 11 + 13x)
y - t = 12n - 11n + 13nx
y = n + 13nx + t
y = 13nx + (t + n)
This equation is in y-intercept form where
y = y
m = 13n
x = x
b = (t + n)
Thus, The function y-t = n(12 - 11 + 13x) is linear according to the y-intercept form.
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A pizza can be shared by (y + 3) friends. If there are (y2 + 6y + 9) pizzas, which expression represents each friend’s share?and 2 + 6 and + 9y + 3y - 3(y + 3)(y - 3)
In order to find each friend's share, we need to divide the total amount of pizza by the number of friends.
The total pizza is y² + 6y + 9, and the number of friends is y + 3, so we have:
[tex]\frac{y^2+6y+9}{y+3}=\frac{(y+3)^2}{y+3}=y+3[/tex]Therefore the correct option is the second one: y + 3.
Here are the first 4 terms in the sequences
3,9,15,21
next term=27
explain how you got the answer
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.
An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15. Given that each term has a common difference, this is an arithmetic sequence.
In this instance, the result is obtained by adding 6 6 to the prior term in the sequence.
What is the arithmetic progression formula?
a {n}=a {1}+(n-1) The nth term in the series is d a n.
The first term in the sequence is a 1.
d is the common distinction between the terms.
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which statement best describes the association between the energy and light output of these light bulbs?
Answer: there is no apparent association between the energy and light output
According to the graph, it observed that at some points, as the energy increases the light out put also increases.
Also, as the energy increases the light out put also decreases
This made me conclude that, there is no apparent association between the energy and light output
Therefore, the best statement that describes the association between the energy and light output is statement J
PLEASE HURRY! 40 POINTS!
Charlize earns an annual mean gross pay of $87,655.00. What percent of her total salary will she have left over if her student loan payments are $325.00 per month for 144 months? Round to the nearest tenth. (1 point)
96.5%
95.6%
96.6%
95.7%
Charlize will be left over with 95.6% of her total salary if her student loan payments are $325.00 per month for 144 months .
in the question ,
it is given that
Total salary of Charlize = $87655 .
since the pay is annual the student loan payment will also be for 12 months.
amount Charlize pays per month as student loan = $325
So , the amount Charlize spent on loan payment = $325×12
= $3900
Amount left with Charlize after deduction = $87655 - $3900
= $ 83755
So the percent of amount left with Charlize after deduction
= (amount left)/(total salary) × 100
Substituting the values
we get
percent of amount left with Charlize after loan deduction =(83755/87655)*100
= 0.955507*100
= 95.5507
rounding off to the nearest tenth
≈ 95.6 %
Therefore , Charlize will be left over with 95.6% of her total salary if her student loan payments are $325.00 per month for 144 months .
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Solve for the value of q
Answer:
180 - 90 = 90
5q + 5 + (4q - 5) = 90
9q = 90
q = 10
Use the following diagram to solve for x. Round to the nearest tenth if necessary.
x + 8
20
2x-5
22.5
Conditional probability is the likelihood that any event A will occur in the presence of another event B that is related to A. The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability.
What Sets Conditional Probability Apart from Regular Probability?
The probability of one event happening is examined in probability. The relationship between two occurrences that could happen is examined through conditional probability.
Based on the likelihood that the first event will occur, the probability of the second event happening is examined. The likelihood of the preceding event is multiplied by the probability of the subsequent, or conditional, occurrence to determine the conditional probability.
Conditional probability examines the likelihood of a single event.
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95 = e + 36 what’s the answer
Answer: e = 59
Step-by-step explanation:
if b = Bryce’s present age, write an expression for his age ten years from now
10-b
10b
10+b
b-10
Answer:
10+b
Step-by-step explanation:
b-10=however old he was 10 years ago
10b = 10 times his current age
10-b doesn't really have anything to do with his age
10+b= 10 years plus however old he is.
WXYZ is a kite. Angle WXY has a measure of 133 degrees and angle ZYX has a measure of 34 degrees. Find the measure of angle ZWY.
[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n = 4 \end{cases}\implies S=180(4-2)\implies S=360[/tex]
Check the picture below.
2 1/3 x 2/4 show our work
a layer of dirt must be spread over a circular area 3 feet in diameter. how deep a layer will be obtained using 45 cubic feet of dirt?
By solving a linear equation, we can see that the deep of the layer will be 6.37 ft.
How deep will be the layer?For a cylinder of radius R and deep D, the volume is:
V = pi*R^2*D
Where pi = 3.14
In this case, we know that the diameter is 3 ft, so the radius is:
R = 3ft/2 = 1.5ft
And the volume of dirt used is 45 cubic feet, then the deep D must be a solution of the following linear equation:
45 ft^3 = 3.14*(1.5ft)^2*D
Solving this for D, we get:
(45 ft^3)/(3.14*(1.5ft)^2) = D
6.37 ft = D
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A mixture of juices in a punch had 1.1 L of pineapple juice for every 0.4 L of orange juice. Sarah wanted the punch to taste more orangey, so she added 0.3 L of orange juice but no pineapple juice. Now the ratio of juices was 1.1 L of pineapple juice for every 0.5 L of orange juice. How many litres of punch did Sarah have now
The litres of punch with Sarah is 4.8 L.
The mixture of juices in the punch had 1.1 L of pineapple juice for every 0.4 L of orange juice.
The ratio of the amount of pineapple juice to the orange juice is 1.1:0.4.
The initial amount of pineapple juice is 1.1x.
The initial amount of orange juice is 0.4x.
The amount of orange juice added to the punch is 0.3 L.
The new ratio of the amount of pineapple juice to the orange juice is 1.1:0.5.
The final amount of pineapple juice is 1.1x.
The final amount of orange juice is 0.4x + 0.3.
(1.1x)/(0.4x + 0.3) = 1.1/0.5
0.5x = 0.4x + 0.3
0.1x = 0.3
x = 3
The amount of punch Sarah has now is the total amount of pineapple and orange juice.
The amount of punch is given below :
A = 1.1x + (0.4x + 0.3)
A = 1.5x + 0.3
A = 1.5(3) + 0.3
A = 4.5 + 0.3
A = 4.8
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Willow can use the greatest common factor to rewrite 36+27 as (4 + ).
Answer:
The greatest common factor of
27
and
36
is
9
.
Step-by-step explanation:
One way to find the greatest common factor (GCF) is to list all of the factors for the numbers. Factors are all of the numbers that can be multiplied to get the number listed. We'll start by finding both number's factors.
27
=
1
,
3
,
9
,
27
36
=
1
,
2
,
3
,
4
,
6
,
9
,
12
,
18
,
36
If you are confused on what factors are or need more explanation, go to www.mathisfun.com/numbers/factors=all-tool.html.
Now that we know the factors of both numbers, we want to find the largest factor that both numbers have. If we read through the list, we see that both
27
and
36
share the factors
3
and
9
.
9
is larger, so
9
would be the GCF.
I hope that this helped you. If you have any questions about this problem, message me or go to www.mathisfun.com/greatest-common-factor.html.
The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
36 + 27
Taking out 9 commons.
9 (4 + 3)
Thus,
The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.
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32” TV height: 16” width: _____
Answer: the answer is 20"
Step-by-step explanation:
Given the inequality 6x ≤ 18, determine the value of x.
S:{26}
S:{14}
S:{7}
S:{3}
The value of x in the given inequality 6x ≤ 18, is S:3 out of all the given options.
The correct answer is S:3.
To solve for x, we divide both sides of the inequality by 6. When dividing by a negative number, we flip the direction of the inequality sign. This gives us x ≤ 3.
Therefore, the possible values of x are 3, 2, 1, 0, and so on. The answer can not be 26, 14, or 7, because those values would make x greater than 3.
Here is the solution in steps:
6x ≤ 18
6x/6 ≤ 18/6 (divide both sides by 6)
x ≤ 3
Therefore, the value of x is 3.
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if x=5 work out the value of 2x squared
2x^2 can be modeled as:
2((x)(x))
2((5)(5))
2(25)
50
you are analyzing data from a study comparing the effect of 3 different antihypertensive medications (red, blue, and purple) on mean arterial blood pressure. subjects were randomized to treatment, but after randomization those who got the red pill are significantly older, and age is correlated with mean arterial blood pressure. what test will allow you to analyze the differences in blood pressure between groups, after adjusting for age
The test that will allow you to analyze the differences in blood pressure between groups, after adjusting for age is the one way ANOVA test.
What is the test about?One-way analysis of variance is a statistical approach that can be used to determine if the means of two samples are substantially different or not. One-way ANOVA ("analysis of variance") examines the means of two or more independent groups to see if there is statistical evidence that the related population means differ significantly.
One-way ANOVA is commonly employed when there is a single independent variable, or factor, and the purpose is to determine whether fluctuations or various amounts of that factor have a measurable effect on a dependent variable. This van be used to illustrate the relationship.
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Fill in the next two terms in the pattern. Enter your answers in the boxes. 0.16, 0.35, 0.54
ANSWER
0.73, 0.92
EXPLANATION
We want to fill the next two terms in the pattern.
The pattern given is:
0.16, 0.35, 0.54
There is a common difference in this pattern (the difference between two successive terms).
To find this, let us subtract the first term from the second:
0.35 - 0.16 = 0.19
This is the same for the third term subtracting the second term:
0.54 - 0.35 = 0.19
Therefore, the next two terms can be gotten by adding 0.19:
0.54 + 0.19 = 0.73
0.73 + 0.19 = 0.92
The next two terms are 0.73 and 0.92.
LESSON 3
Rotations
Instruction
-S
44
2. What image is the translation of the shown triangle given by the translation rule (x, y) → (x-
3, y + 3)?
op
Activity
-S
$
Review
x
Assessment
(1 point)
It means move the x three units to the right and the y three units up
What number should be placed in the box to help complete the division calculation?
long division setup showing an incomplete calculation. 15 is in the divisor, 6396 is in the dividend, and 4 hundreds and 2 tens is written in the quotient. 6000 is subtracted from 6396 to give 396. An unknown value represented by a box is being subtracted from 396.
Answer:
300
Step-by-step explanation:
I got it correct
Help with this geometry question I’ll give Brainliest
By drawing two equivalent right triangles, we will get:
m∠HIF = 58°
How to get the measure of angle HIF?
Let's look at the given image.
If we draw a vertical line that comes down from H, then we will form a little right triangle.
And if we draw another line that goes up from I we will get another right triangle, such that these two form a rectangle togheter.
Notice that these two triangles will be equivalent, just inverted.
Then the measure of HIF (the angle at vertex I of the left right triangle) will be equal to IHG (the angle at vertex H of the right triangle).
From that we conclude that:
m∠HIF = 58°
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somebody please help me
3) Circle each expression that is equivalent to 16
× 29 29 sixteens
16 × (30 - 1)
(15-1) × 29
X (10 × 29) - (6 × 29)
solve each equation using an array 3542 x 8 =
The Solution:
We are required to Use the array strategy to multiply the numbers given below:
[tex]3542\times8[/tex]Therefore, the correct answer is 28,336
determine the number of solutions for:
10x-2y=-16
-5x=8-y
hurry
The equations 10x-2y=-16 and -5x=8-y have infinitely many solutions because the lines are the same.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
10x - 2y = -16
-5x = 8 - y
Or
-5x + y = 8
10/(-5) = -2/1 = -16/8
-2 = -2 = -2
The equations are the same which means the lines are coincident.
There will be infinitely many solutions.
Thus, the equations 10x-2y=-16 and -5x=8-y have infinitely many solutions because the lines are the same.
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Mark has $14 to buy lunch for himself and his sister. He wants to buy at least 1 sandwich
and 1 drink. Sandwiches cost $5, and drinks cost $2. Write three inequalities to represent
the three constraints on the number of sandwiches and drinks Mark could buy.
Answer:7
Step-by-step explanation:5x3
5+x=7
2+5=x
Answer: hey could buy one of each and share with his sister
14-5=9
9-2=7
