Tara has read 95\%95%95, percent of the books she owns. If Tara owns 160160160 books, how many of her books has she not read?

Answer:

X=6 I hope this helps have a great day!

just divided 24 by 4!

Answer:

x =6

Step-by-step explanation:

You want to solve for the variable, so you have to isolate it on to one side of the equation. You can do this by doing reverse operations. For example, the reverse operation of addition is subtraction. This is reversible as well.

4x = 24

Because 4x is the same thing 4 (x), the reverse operation would be division:

4x = 24

----    ---

4      4

x  =  6

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

Answer: A = 15cm squared

Step-by-step explanation:

I think :)

Given that the base of the prism is 4 cm by 3 cm and the height is 5 cm, the volume can be calculated as:

The volume of the prism = (length x width x height)

By applying the given values:

Volume of prism = 4 cm x 3 cm x 5 cm

The volume of the prism = 60 cubic cm

That implies the volume of the rectangular prism is 60 cubic cm.

We know that the pyramid's base measures 4 by 3 cm and its height is 5 cm, the base's area may be calculated as follows:

Area of base = length x width

Area of base = 4 cm x 3 cm

Area of base = 12 square cm

The volume of the pyramid can now be calculated as:

Volume of pyramid = (area of base x height) / 3

Volume of pyramid = (12 square cm x 5 cm) / 3

The volume of the pyramid = 20 cubic cm

Therefore, the volume of the square pyramid is 20 cubic cm.

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ANSWER

My answer is in the photo above

Answer:

\( \displaystyle \large{x \leqslant 15}\)

Step-by-step explanation:

We are given the Inequality:

\( \displaystyle \large{2x + 12 \leqslant 42}\)

To solve an Inequality, solve it like an equation: We isolate x-term.

First, subtract 12 both sides.

\( \displaystyle \large{2x + 12 - 12 \leqslant 42 - 12} \\ \displaystyle \large{2x \leqslant 30}\)

Then divide both sides by 2.

\( \displaystyle \large{ \frac{2x}{2} \leqslant \frac{30}{2} }\)

Divide the like term. 2 divides 2 = 1; 2 divides 30 = 15.

\( \displaystyle \large{ \frac{ \cancel{2}x}{ \cancel{2}} \leqslant \frac{ \cancel{30}}{ \cancel{2}} } \\ \displaystyle \large{ \frac{ 1x}{ 1} \leqslant \frac{15}{1} }\)

Generally, we do not recommend writing 1 as a denominator as we would just cancel 1 anyways.

That goes the same to 1x which we can simplify to x.

\( \displaystyle \large \boxed{ x \leqslant 15}\)

Let me know if you have any questions!

\( \sf \: 1. \bigg[ \frac{4 + ( - 5)}{ - 2 - 3} \bigg]\bigg[ \frac{14 + ( - 21)}{ 2 - 8} \bigg] \\ \)

\( \sf \longrightarrow \: \bigg[ \frac{4 + ( - 5)}{ - 2 - 3} \bigg]\bigg[ \frac{14 + ( - 21)}{ 2 - 8} \bigg] \\ \)

\( \sf \longrightarrow \: \bigg[ \frac{4 - 5}{ - 2 - 3} \bigg]\bigg[ \frac{14 - 21}{ 2 - 8} \bigg] \\ \)

\( \sf \longrightarrow \: \bigg[ \frac{ - 1}{ - 5} \bigg]\bigg[ \frac{ - 7}{ - 6} \bigg] \\ \)

\( \sf \longrightarrow \: \frac{1}{ 5} \times \frac{ 7}{ 6} \\ \)

\( \sf \longrightarrow \: \frac{7}{30} \\ \)

C) 7/30 ✅

________________________________

\( \sf \: 2. \bigg[ \frac{7+ ( - 6)}{ - 4 - 9} \bigg]\bigg[ \frac{20 + ( - 45)}{ 8 - 2} \bigg] \\ \)

\( \sf \longrightarrow\bigg[ \frac{7 + ( - 6)}{ - 4 - 9} \bigg]\bigg[ \frac{20 + ( - 45)}{ 8 - 2} \bigg] \\ \)

\( \sf \longrightarrow\bigg[ \frac{7 - 6}{ - 4 - 9} \bigg]\bigg[ \frac{20 - 45}{ 8 - 2} \bigg] \\ \)

\( \sf \longrightarrow\bigg[ \frac{1}{ - 4 - 9} \bigg]\bigg[ \frac{ - 25}{ 8 - 2} \bigg] \\ \)

\( \sf \longrightarrow\bigg[ \frac{1}{ - 13} \bigg]\bigg[ \frac{ -25}{ 6} \bigg] \\ \)

\( \sf \longrightarrow \: \frac{ - 25}{ - 78} \\ \)

\( \sf \longrightarrow \: \frac{ 25}{ 78} \\ \)

A] 25 / 78 ✅

________________________________

\( \sf \: 3. \bigg[ \frac{4+ ( - 5)}{ - 2 - 4} \bigg]\bigg[ \frac{18 + ( - 36)}{ 7 - 3} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{4+ ( - 5)}{ - 2 - 4} \bigg]\bigg[ \frac{18 + ( - 36)}{ 7 - 3} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{4 - 5}{ - 2 - 4} \bigg]\bigg[ \frac{18 - 36}{ 7 - 3} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{-1}{ - 6} \bigg]\bigg[ \frac{18 - 36}{ 7 - 3} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{-1}{ - 6} \bigg]\bigg[ \frac{-18}{ 4} \bigg] \\ \)

\( \sf \longrightarrow \frac{18}{ - 24} \\ \)

\( \sf \longrightarrow -\frac{6}{ 8} \\ \)

\( \sf \longrightarrow -\frac{3}{ 4} \\ \)

C] -3/4 ✅

________________________________

\( \sf \: 4. \bigg[ \frac{7+ ( - 3)}{ - 6 - 2} \bigg]\bigg[ \frac{18 + ( - 6)}{ 6- 7} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{7+ ( - 3)}{ - 6 - 2} \bigg]\bigg[ \frac{18 + ( - 6)}{ 6- 7} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{7- 3}{ - 6 - 2} \bigg]\bigg[ \frac{18 - 6}{ 6- 7} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{4}{ - 6 - 2} \bigg]\bigg[ \frac{12}{ 6- 7} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{4}{ - 8} \bigg]\bigg[ \frac{12}{ -1} \bigg] \\ \)

\( \sf \longrightarrow \frac{48}{ 8} \\ \)

\( \sf \longrightarrow \frac{6}{ 1} \\ \)

\( \sf \longrightarrow 6 \\ \)

D] 6 ✅

________________________________

\( \sf \: 5. \bigg[ \frac{8+ ( - 2)}{ - 5- 6} \bigg]\bigg[ \frac{40 + ( - 48)}{ 9 - 8} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{8+ ( - 2)}{ - 5- 6} \bigg]\bigg[ \frac{40 + ( - 48)}{ 9 - 8} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{8 - 2}{ - 5- 6} \bigg]\bigg[ \frac{40 - 48}{ 9 - 8} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{6}{ - 5- 6} \bigg]\bigg[ \frac{-8}{ 9 - 8} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{6}{ - 11} \bigg]\bigg[ \frac{-8}{ 1} \bigg] \\ \)

\( \sf \longrightarrow \frac{-48}{ - 11} \\ \)

\( \sf \longrightarrow \frac{48}{ 11} \\ \)

B] 48/11 ✅

________________________________

Answer:

17

Step-by-step explanation:

Use ratio method

98:2

850:x

so, x = (850 x 2) divided by 98 = 17.3469388

Round it to nearest whole number = 17

Step-by-step explanation:

(f + g)(-1) = f(-1) + g(-1)

f(-1) = -1 -2 = -3

g(-1) = (-1)² + (-1) -6 = -6

(f+g)(-1) = -9

Answer:

(f + g)(- 1) = - 9

Step-by-step explanation:

note (f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x - 2 + x² + x - 6 ← collect like terms

= x² + 2x - 8

To evaluate (f + g)(- 1) substitute x = - 1 into (f + g)(x), that is

(f + g)(- 1)

= (- 1)² + 2(- 1) - 8 = 1 - 2 - 8 = - 9

a. The system of equations that represents this scenario is : D + n = 29 and 0.1D + 0.05n = 2.15.

b. The numbers of nickels and dimes are 15 and 14, respectively.

We have a total of 29 coins in our piggy bank. All the coins are either nickels or dimes. The value of the coins is $2.15. We have to find out the equation that represents this scenario. We have to find out the number of nickels and dimes that we have in the piggy bank.

Let the number of dimes and nickels be represented by the variables "D" and "n", respectively. The value of a dime is $0.1. The value of a nickel is $0.05. The equations are given below.

D + n = 29

0.1D + 0.05n = 2.15

We will substitute the value of "D" from the first equation into the second equation.

D = 29 - n

0.1D + 0.05n = 2.15

0.1(29 - n) + 0.05n = 2.15

2.9 - 0.1n + 0.05n = 2.15

0.05n = 0.75

n = 15

Hence, the number of nickels is 15. We will substitute this value into the first equation.

D = 29 - n

D = 29 - 15

D = 14

Hence, the number of dimes is 14.

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Answer:

The answers are shell tooth bone

Step-by-step explanation:

Answer:

footprint, shell,

Step-by-step explanation:

trace fossils are non physical fossils. since shells are imprints instead of actual shell fossils, shell and footprint is the correct answer

Answer:

A,-7

B, 4

C,13

D,2

Step-by-step explanation:

A,Step 1: Divide both sides by 4.

\( \frac{4x}{4} = \frac{ - 28}{4} \)

\( x = - 7\)

B,Step 1: Add 6 to both sides.

x−6+6=−2+6

x = 4

C, Step 1: Regroup terms.

4−Y=−9

Step 2: Subtract 44 from both sides.

-Y=-9-4−Y=−9−4

Step 3:Simplify -9-4−9−4 to -13−13.

\( \frac{ - y}{1} = \frac{ - 13}{ - 1} \)

Y = 13

D,Subtract 77 from both sides.

-3x=1-7−3x=1−7

2, Simplify 1-71−7 to -6−6.

-3x=-6−3x=−6

3,Divide both sides by −3.

\( x = \frac{ - 6}{ - 3} \)

4,Two negatives make a positive.

x = 6/3

x = 2.

I don't understand Question E!

I hope it helps you!

The ratio of successive terms in the sequence is 1/2, 6, 4. Hence, this sequence does not have a common difference/ratio. Sequence refers to a set of numbers in a particular order with a rule governing the manner in which the numbers appear.

The sequence given is {1/6, 1/12, 1/2, 2}. Since this sequence is not consecutive, we cannot use the common difference. We can, however, use the ratio to determine the next terms in the sequence. Let us determine the ratio of successive terms in the sequence: {(1/12) / (1/6)} = 1/2{(1/2) / (1/12)} = 6{(2) / (1/2)} = 4

The ratio of successive terms in the sequence is 1/2, 6, 4. Hence, this sequence does not have a common difference/ratio. Sequence refers to a set of numbers in a particular order with a rule governing the manner in which the numbers appear. A sequence is a group of things, events, or numbers that are arranged in a specific order or following a definite rule. A sequence can be made up of numbers, letters, or any other things that follow a pattern. The ratio of a sequence refers to the quotient of successive terms in the sequence. The ratio of successive terms is constant for a geometric sequence while the difference is constant for an arithmetic sequence.

A common difference is a constant difference between successive terms in an arithmetic sequence. This means that the common difference is the number you add or subtract to get to the next term in the sequence. An example of an arithmetic sequence is {1, 3, 5, 7, 9} where the common difference is 2. This means that you add 2 to the previous term to get to the next term in the sequence. A common ratio, on the other hand, is the quotient of successive terms in a geometric sequence. The common ratio is the number that you multiply or divide by to get to the next term in the sequence. For example, {2, 4, 8, 16, 32} is a geometric sequence with a common ratio of 2. This means that you multiply each term by 2 to get to the next term in the sequence. In the given sequence {1/6, 1/12, 1/2, 2}, since the sequence is not consecutive, we cannot use the common difference. We can, however, use the ratio to determine the next terms in the sequence. The ratio of successive terms in the sequence is 1/2, 6, 4. Hence, this sequence does not have a common difference/ratio.

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The dummy variable is used to capture the effect of the categorical variable and it has no effect on the quadratic or cubic relationship between the independent and dependent variable.

When x is a dummy variable, there will be no difference in OLS estimators between quadratic and cubic regression models. This statement is true.OLS stands for Ordinary Least Squares regression. It is a statistical method used to determine the relationship between one or more independent variables (predictors) and a dependent variable. The OLS regression method minimizes the sum of squared residuals (differences between actual and predicted values).Dummy variables are used in regression analysis to represent categorical variables.

These are represented by a variable with a binary value of 1 or 0, depending on whether the observation falls in that category or not. This variable is used to represent a categorical variable in regression analysis so that the model can capture the effect of that variable in the analysis.In regression analysis, the regression model is a function of the independent variable, also called the predictor variable, and the dependent variable. A quadratic regression model is a polynomial regression model of degree 2. It means that the relationship between the dependent and independent variable is a quadratic function.

A cubic regression model is a polynomial regression model of degree 3. It means that the relationship between the dependent and independent variable is a cubic function. When x is a dummy variable, there will be no difference in OLS estimators between quadratic and cubic regression models. The OLS estimators will be the same because the dummy variable will have no effect on the fit of the model. Hence, this statement is true.

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Answer:

2n+8

Step-by-step explanation:

First: Multiply

        2 times n = 16

        2 times 8 = 16

Finally: Combined

        2n+8

\(\huge\text{Answer:}\)

\(\huge\mathrm{2n+16}\checkmark\)

\(\huge\text{Solution:}\)

What does the Distributive Property state?

It states that

\(\huge\mathrm{a(b+c)=ab+ac}\)

How to Solve the Given Math problem:

\(\bigstar\) Multiply 2 by n and 8:

\(\huge\mathrm{2*n=2n;~8*2=16}\)

\(\bigstar\) Add the products:

\(\huge\mathrm{2n+16}\)

Hope you find it helpful.

Feel free to ask if you have any doubts.

\(\huge\bold{-MistySparkles^**^*}\)

Answer:

Here's the equation: 112/14 = 8

Answer:

The price for 1 lemon is $0.75

Step-by-step explanation:

8x=$6

8x/8=6/8

x=$0.75

The SOP expression for F(x, y, z) is yx'z + yxz' + xyz + y'xz + xyz', which can be simplified using a Karnaugh map and represented by a logic diagram for the minimal circuit implementation.

To express the function F(x, y, z) = y(x'z + xz') + x(yz + yz') in the Sum of Products (SOP) form, we can first distribute the terms within the parentheses:

Next, we can group the terms that have the same combination of variables. In this case, we have three groups:

Now, we can express F as the sum of these product terms:

Moving on to part f, we can build a Karnaugh map (K-Map) using the SOP expression derived in part c.

The K-Map is a graphical tool used for simplifying boolean expressions.

In this case, since we have three variables (x, y, z), we will need an 8-cell K-Map.

To simplify the expression, we analyze the K-Map to identify groups of adjacent cells with the same output value (1 or 0).

These groups help us identify common factors and eliminate redundant terms.

Finally, in part g, we can draw the logic diagram for the simplified expression obtained from the K-Map.

The logic diagram will represent the minimal circuit required to implement the simplified boolean expression, using logic gates such as AND, OR, and NOT gates.

The specific structure of the diagram will depend on the simplified expression obtained and the chosen implementation strategy.

Please note that providing the specific K-Map and logic diagram requires knowing the simplified expression obtained from the K-Map analysis.

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Answer:

62 sq ft

Step-by-step explanation:

3 · 3 = 9

The first garden's area is 9 square feet.

7 · 7 = 49

The second garden's area is 49 square feet.

2 · 2 = 4

The third garden's area is 4 square feet.

We add 9 + 49 + 4.

9 + 49 + 4 = 62

The total area of the three gardens is 62 square feet.

To evaluate the integral ∫1−1(|2x|+2) dx exactly using the technique of example 2 in the text, we first split the integral into two parts:

∫1−1(|2x|+2) dx = ∫1^0 (-2x + 2) dx + ∫0^-1 (2x + 2) dx

Next, we can simplify the absolute values:

∫1^0 (-2x + 2) dx + ∫0^-1 (2x + 2) dx = ∫1^0 (-2x + 2) dx + ∫0^-1 (-2x + 2) dx

Now we can integrate each part:

∫1^0 (-2x + 2) dx + ∫0^-1 (-2x + 2) dx = [-x^2 + 2x]1^0 + [-x^2 + 2x]0^-1

Simplifying further, we get:

[-1^2 + 2(1)] - [0^2 + 2(0)] + [0^2 + 2(0)] - [-(-1)^2 + 2(-1)]
= 1 + 1 + 1 = 3

Therefore, the exact value of the integral ∫1−1(|2x|+2) dx is 3.
To evaluate the integral ∫₁₋₁ (|2x|+2) dx, we first need to split the integral into two parts due to the absolute value function.

For x >= 0, |2x| = 2x, and for x < 0, |2x| = -2x.

Now, we split the integral into two parts:

∫₁₋₁ (|2x|+2) dx = ∫₀₋₁ (-2x+2) dx + ∫₁₀ (2x+2) dx.

Now, we evaluate each integral separately:

∫₀₋₁ (-2x+2) dx = [-x²+2x]₀₋₁ = (1-2)-(0) = -1.

∫₁₀ (2x+2) dx = [x²+2x]₁₀ = (1+2)-(0) = 3.

Finally, we add the two results together:

∫₁₋₁ (|2x|+2) dx = -1 + 3 = 2.

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Based on the illustration above, the original number is 10.

To solve this problem, let's represent the original number as "x". When 110 is added to the original number, the equation becomes (x + 110).

Then, when this sum is divided by 3, we have (x + 110) / 3.

According to the problem, this result is 4 times the original number, or 4x.

Now, we can create an equation: (x + 110) / 3 = 4x.

To solve for x, first multiply both sides by 3: x + 110 = 12x

Now, subtract x from both sides: 110 = 11x

Finally, divide both sides by 11: x = 10 ( original number)

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Answer:

(x-5)^2 + (y + 4)^2 = 100

Step-by-step explanation:

See attached worksheet.

Answer:

x = -1

y = -5

Step-by-step explanation:

9(2y+9) - 8y = 31

18y + 81 - 8y = 31

10y + 81 = 31

10y = -50

y = -5

2(-5) + 9 = x

-10 + 9 = x

-1 = x

Answer:

I have solve it in above picture

Answer:

Step-by-step explanation:

on the first one we see that they are outer angles and they are also congruent making the missing angle the same as 66

for the second one if we turn the graph around making the lines how a H shape we see the missing angle and the given angle are in the same line, and we know a straight line makes it 180, so we need to find what the other angle is using the given angle so we subtract from 180, 180-80 = 100

so the missing angle is 100 making it congruent to the other missing angle that was with the 80

for the last one by now we should know what vertical angles are, they are directly across from each other, and we see that they arent really like in the same part of the line, but we know that the one congruent to the 128 is the outer right angle, making the missing angle congruent because they are vertical angles making the missing angle 128 too

(did that make sense?)

Answer:

7000.0000

Step-by-step explanation:

Answer:

The value of the digit 7 in 273,480,000 is 70,000,000

Step-by-step explanation:

This number (in worded form) is Two Hundred and Seventy Three Million, Four Hundred and Eighty Thousand, and you can very clearly see that it's 70,000,000.

The exponent of 3 in the prime factorization of 109! is 76.

To find the exponent of 3 in the prime factorization of 109!, we need to first determine how many factors of 3 there are in the prime factorization of each number from 1 to 109. We can do this by dividing each number by 3 and adding up the quotient (ignoring any remainder) until the quotient becomes less than 3. For example, for the number 27, we divide 27 by 3 to get 9, then divide 9 by 3 to get 3, then divide 3 by 3 to get 1. So the exponent of 3 in the prime factorization of 27 is 3.

Doing this for all the numbers from 1 to 109, we get:

- There are 36 numbers that have at least one factor of 3.
- There are 12 numbers that have at least two factors of 3.
- There are 4 numbers that have at least three factors of 3.
- There is 1 number (81) that has at least four factors of 3.

To find the exponent of 3 in the prime factorization of 109!, we need to add up the number of factors of 3 in each of these numbers:

- The 36 numbers with at least one factor of 3 contribute a total of 36 factors of 3.
- The 12 numbers with at least two factors of 3 contribute a total of 24 factors of 3 (since each one has 2 factors of 3).
- The 4 numbers with at least three factors of 3 contribute a total of 12 factors of 3 (since each one has 3 factors of 3).
- The 1 number with at least four factors of 3 contributes 4 factors of 3.

So the total number of factors of 3 in the prime factorization of 109! is 36 + 24 + 12 + 4 = 76. Therefore, the exponent of 3 in the prime factorization of 109! is 76.

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Answer:

Step-by-step explanation:

The radius is 6 inches uw :)

The answer of the given question based on probability is , option (A) 9/11.

Probability is  measure of  likelihood of  event occurring. It is number between 0 and 1, where 0 means that  event is impossible, and 1 means that  event is certain to occur. The probability of  event can be expressed as  fraction, a decimal, or a percentage. For example, if the probability of an event is 1/4, it means that there is a 25% chance of the event occurring.

The total number of hair clips in the box is:

Total number of hair clips = 15 (small) + 12 (medium) + 6 (large) = 33

The probability of selecting a small or medium hair clip is the sum of the probabilities of selecting a small hair clip and a medium hair clip:

P(small or medium) = P(small) + P(medium)

The probability of selecting a small hair clip is:

P(small) = number of small hair clips / total number of hair clips

= 15 / 33

The probability of selecting a medium hair clip is:

P(medium) = number of medium hair clips / total number of hair clips

= 12 / 33

Therefore, the probability of selecting a small or medium hair clip is:

P(small or medium) = P(small) + P(medium)

= 15/33 + 12/33

= 27/33

= 9/11

So the answer is (A) 9/11.

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Answer:

PQR = 67.4 degrees

Step-by-step explanation:

Here, we want to find the size of PQR

to do this, we proceed as follows

As we can see PR is the opposite while PQ is the hypotenuse

The trigonometric identity connecting the two is the sine

sine is the ratio of the opposite to the hypotenuse

sin Q = 12/13

Q = sin^-1(12/13)

Q = 67.4 degrees

Answer:MON=99

Step-by-step explanation:

8x-13+7x-17=180

15x=210

x=14

Answer:

Step-by-step explanation:

8x - 13 + 7x - 17 =180

15x - 30 = 180

15x = 210

x = 14

8(14) - 13= 112 - 13 = 99