Simplify. Express your answer using positive exponents.
(7tuv7)(4t3u4v2)

Answers

Answer 1

Answer:

[tex]28t^4u^5v^9[/tex]

Step-by-step explanation:

I will answer this a few different ways depending on whether there are supposed to be exponents in the question.

As written

As written, the product is:

[tex](7tuv7)(4t3u4v2)[/tex]

All of the coefficients can be multiplied together. This is what that looks like:

[tex]4704tuvtuv[/tex]

Now, each variable multiplied by itself gets the exponent of 2.

[tex]4707t^2u^2v^2[/tex]

Assuming exponents and coefficients

Assuming exponents, the product is:

[tex](7tuv^7)(4t^3u^4v^2)[/tex]

Again, the coefficients can be multiplied, and the like variables written next to each other:

[tex]28tt^3uu^4v^7v^2[/tex]

When multiplying like terms with exponents, add the exponents. Variables without an exponent have an exponent of 1.

[tex]28t^4u^5v^9[/tex]


Related Questions

Ken hikes a trail at a constant rate of 4/5 of a mile of a mile every 2/5 if an hour.he stops for a 3/4 hour lunch.he wants to hike at least 20 miles

Answers

Answer:

below

Step-by-step explanation:

Rate =  4/5 mi / 2/5 hr =  2 mi /hr

3/4 hr for lunch

20 miles / 2 miles/hr   + 3/4 hr =  10 3/4 hr to hike 20 miles with a lunch

Which graph shows the solution to the system of linear inequalities?

y < 2x – 5

y > –3x + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.

Answers

The graph of the system of inequalities can be seen in the image at the end.

How to get the graph of the system of inequalities?

Here we have the following system of inequalities:

y < 2x - 5

y > -3x + 1

So first we need to graph the two lines:

y = 2x - 5

y = -3x + 1

With dashed lines (because the symbols < and > are used).

And then we shade all the region below the line:

y = 2x - 5

And we shade the region above the line:

y = -3x + 1

So we will get the graph below:

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Question Prog
One-third of a number is 12.
Work out one-half of the number.

Answers

One-half of the number is 18.

Given that

One-third of a number is 12.

Let "x" be the number

Given that,

One-third of a number is 12

Which means,

[tex]\frac{1}{3} *x = 12[/tex]

x = 3*12

x = 36

Thus the number is 36

Work out one-half of the number

one half of the number = [tex]\frac{x}{2}[/tex]

one half of the number = [tex]\frac{36}{2}[/tex]

one half of the number = 18

Hence the answer is, one-half of the number is 18.

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through (-3,-1) perp to y=-1/2x=5


PLease ANSWER HURRY

Answers

The equation of line passing through the point (-3, -1) and is perpendicular to the line y = -x/2 - 5 is y = 2x + 5

What are perpendicular lines?

perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

In such lines the product of their gradients is -1.

if y = -x/2 - 5

then comparing the equation with y = mx + c

it means slope(m) = -1/2

so the slope(p) of the second line perpendicular to the above line will be

p x m = -1

p = -1/m

p = -1 ÷ -1/2

p = 2

so if x = -3, y = -1 and substituting these values into the equation of line , y = mx + c becomes

-1 = 2 x (-3) + c

-1 = -6 + c

collect like terms

c= 6 - 1

c = 5

Equation of the second line becomes,

y = 2x + 5

In conclusion, the equation of the lines passing through point(-3, -1) is y = 2x + 5

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insert 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50 into a 2-3-4 tree and select the correct answer

Answers

The numbers are inserted into the tree and shown in the below diagrams.

Given that,

Put these numbers into a 2-3-4 tree: 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50.

Binary Tree Data Structure: What is it?

A Binary Tree is a Tree data structure with two children or less. We typically refer to them as the left and right child since each element in a binary tree can only have two children.

Representation of a Binary Tree

A pointer to the topmost node of a binary tree serves as its representation. The root's value is NULL if the tree is empty.

The following components are found in a binary tree node:

Data

Pointer to left child in data

Pointer to the right-hand child

Thereforer, The numbers are inserted into the tree

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The question was incomplete. Check below the complete question.

insert 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50 into a 2-3-4 tree and select the correct answer

Nov 13, 12:27:13 PM
What is an equation of the line that passes through the points (5, -1) and (-5, 1)?

Answers

Answer:

y=-1/5x

Step by Step

y=mx+b

First find the slope

equation: y2-y1 divided by x2-x1

1-(-1)/-5-5

2/-10

simplified to -1/5

Now that we have the slope we need the y-int

using point slope form: y-y1=m(x-x1)

Let us use the point (5,-1)

y-(-1)=-1/5(x-5)

y+1=-1/5x+1

Subtract 1 to both sides

y=-1/5x

guys help what is the answer to this need the answer asap

Whats 1+1=?

Answers

Answer:

2

Step-by-step explanation:

Question:

1 + 1 = ?

1 + 1 = 2

60 POINTS FOR FULL CORRECT ANSWER!!!!! I NEED IT NOW!!!!!

Whose sequence proves trapezoid PQRS is similar to trapezoid KLMN? Why?
THE ACTIVITY IS : Unit Activity: Transformations

Answers

KLMM is an upside down image of PQRS, so it was reflected across the x axis and then scaled by 1/2.

The probability that at least one number is odd and the sum of the two numbers is even is. The probability that exactly one number is 6 and the product of the two numbers is at most 15 is.

Answers

The probability that at least one number is odd and the sum of the two numbers is even is 1/4

The probability that exactly one number is 6 and the product of the two numbers is at most 15 is 1/9

The easiest way to figure out probability problems with small data sets is to write out your entire sample space and then divide by the total:

Sample size = 6 * 6 = 36

S = {[1,1],[1,2],[1,3],[1,4],[1,5],[1,6],[2,1],[2,2],[2,3],[2,4],[2,5],[2,6],[3,1],[3,2],[3,3],[3,4],[3,5],[3,6],[4,1],[4,2],[4,3],[4,4],[4,5],[4,6],[5,1],[5,2],[5,3],[5,4],[5,5],[5,6],[6,1],[6,2],[6,3],[6,4],[6,5],[6,6]}

The only way to make a number combination that's even while 1 die is odd is to have 2 odd numbers.

{[1,1],[1,3],[1,5],[3,1],[3,3],[3,5],[5,1],[5,3],[5,5]}

This gives us 9 results.

The probability of this happening is 9/36 = 1/4 = 0.25

Now if we have to get a 6 with the product being at most 15 we know that the biggest number that 6 can be multiplied by is 2 which gives us 12.

We are left with 4 options:

{[1,6],[2,6],[6,1],[6,2]}

The probability of this happening is 4/36 = 1/9 = 0.1111...

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what is the probability of rolling a small straight on the first round? round your answer to have three decimal places. enter your solution into variable

Answers

Answer:it depends on how many sides their are

Step-by-step explanation:

just factual

which of the following can be classified as data reduction techniques? a. cluster analysis b. sampling c. data visualization d. none of the above

Answers

The answer of the question is A. Cluster Analysis

Data reduction is a stage of qualitative data analysis techniques. Data reduction is simplification, classification, and unnecessary hoarding of data in such a way that the data can produce meaningful information and facilitate drawing conclusions.

Data reduction is done to provide more specific representation and make it easier for researchers to collect data then look for additional data if needed.

Various dimension reduction methods are used to reduce the complexity of data before further processing. One of data reduction techniques is Cluster Analysis. Cluster analysis is used to group or classify data with various types, for example in types according to the concept, and certain categories according to the research being conducted.

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PLEASE ANSWER I WILL MARK BRAINLYEST
Factor −6x2 + 18x.

1. 6x(−x + 3)
2. −6x(x + 3)
3. x(6x + 18)
4. 6(−x2 + 18x)

Answers

Answer: 6x(-x+3)

Step-by-step explanation:

You can factor out the 6 and x. -6x^2 divided by 6x = -x, and 18x divided by 6x = 3. So the answer is 1. 6x(-x+3)

Answer:

-6x^2+18x

-6x^2-18x

6x^2+18x

-6x^2+108x

Step-by-step explanation:

1.

6x(-x+3)

6x(-x)+6x(3)

-6x^2+18x

2.

-6x(X+3)

-6x(X)+-6x(3)

-6x^2-18x

3.

x(6x+18)

x(6x)+x(18)

6x^2+18x


4.

6(-x^2+18x)

6(-x^2)+6(18x)

-6x^2+108x

Hopes this helps please mark brainliest

HELPPP
im supposed to be turning this in in like 20 minutes

Answers

The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.

Given that,

The equations,

D=1-x² and C = -1-3x²+4x

We have to find the expression 3D-3C in standard form.

What the expression?

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

We get,

3D-3C

3(1-x²)-3(-1-3x²+4x)

3-3x²+3+9x²-12x

6+6x²-12x

6x²-12x+6

Therefore, The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.

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Given the ordered pair (-5, 4), name the coordinates after a rotation of 90° counter-clockwise.​

Answers

Answer:

(-5,-4)

as 90 degree rotation counter clockwise would land in the third quaderant where both x and y are negative

Given

Complete the sentences

Parallel or not parallel

Answers

If x = 10 it is not parallel
If x= 12 it is parallel
if x= 14 it is not parallel

what does correlation investigate? select one: a. linear association between two numeric variables b. variances between two numeric variables c. association between two categorical variables d. differences of means between two numeric variables

Answers

Correlation is a bi-variate analysis that measures the strength of association between two variables and the direction of the relationship.

What is bi-variate analysis?

Bivariate analysis is one in every of the only kinds of quantitative (statistical) analysis. It involves the analysis of 2 variables (often denoted as X, Y), for the aim of deciding the empirical relationship between them.

Main Body:

The correlation coefficient's value ranges from +1 to -1. the entire degree of correlation between the 2 variables is indicated by a worth of one. The association between the 2 variables are weaker because the parametric statistic price approaches zero.

Hence correlation investigate linear association between two variables.

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A polygon has 7 sides. The interior angle measures are 130°, 118°, 135°, 128°, 126°, 134°, and x°. Find the value of x.

Answers

Answer:

129 degrees.

Step-by-step explanation:

The Sum of all the interior angles of an a-sided polygon is always (n−2) × 180 degrees.

As this is a seven-sided polygon, the sum of its interior angles is (7−2) × 180 degrees = 5 × 180 degrees = 900 degrees.

Step 1: Find the sum of six of the angles is 130 degrees, 118 degrees, 135 degrees, 128 degrees, 126 degrees, and 134 = 771 degrees

Hence the seventh angle is x = 900 degrees − 771 degrees= 129 degrees.

Anyone good there at math? Explain briefly​ and give examples

Answers

Answer:

y = (3/4)x - 3/4

=====================

Slope-intercept form is:

y = mx + b, where m- the slope, b- the y-intercept

Given line in standard form:

- 3x + 4y + 3 = 0

Convert this to slope-intercept form:

- 3x + 4y + 3 = 04y = 3x - 3y = (3/4)x - 3/4

Answer:

[tex]\boxed{y=\dfrac{3}{4}x-\dfrac{3}{4}}[/tex]

[tex]\implies \textsf{Slope}=\dfrac{3}{4}[/tex]

[tex]\implies \textsf{$y$-intercept}=-\dfrac{3}{4}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given equation:

[tex]-3x+4y+3=0[/tex]

To write the given equation in slope-intercept form, rearrange the equation to isolate y.

Add 3x to both sides of the equation:

[tex]\implies -3x+4y+3+3x=0+3x[/tex]

[tex]\implies 4y+3=3x[/tex]

Subtract 3 from both sides of the equation:

[tex]\implies 4y+3-3=3x-3[/tex]

[tex]\implies 4y=3x-3[/tex]

Divide both sides of the equation by 4:

[tex]\implies \dfrac{4y}{4}=\dfrac{3x-3}{4}[/tex]

[tex]\implies y=\dfrac{3}{4}x-\dfrac{3}{4}[/tex]

Compare the rearranged equation with the slope-intercept formula:

[tex]\implies \textsf{Slope}=\dfrac{3}{4}[/tex]

[tex]\implies \textsf{$y$-intercept}=-\dfrac{3}{4}[/tex]

Does the quadratic function
f(x) = 5x² + 5x + 21 have one,
two, or no real zeros? Utilize the
quadratic formula to determine
the answer.

Answers

5x^2 + 5x + 21 = 0

No real solution

no x - intercept

Answer:

No real zeros.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Discriminant of the Quadratic Formula}\\\\$b^2-4ac$ \quad when $ax^2+bx+c=0$\\\\When $b^2-4ac > 0 \implies$ two real zeros.\\When $b^2-4ac=0 \implies$ one real zero.\\When $b^2-4ac < 0 \implies$ no real zeros.\\\end{minipage}}[/tex]

The value of the discriminant shows how many zeros the function has.

Given quadratic function:

[tex]f(x)=5x^2+5x+21[/tex]

Therefore:

a = 5b = 5c = 21

Substitute the values into the discriminant and solve:

[tex]\begin{aligned}\implies b^2-4ac&=(5)^2-4(5)(21)\\& = 25 - 20(21)\\&=25-420\\&=-395\end{aligned}[/tex]

Therefore, as -395 < 0, there are no real zeros.

If their food and beverages cost $25.30 and there is an 8% meals tax, , After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.

Answers

The tip is 18%

From the question, we have

food and beverages cost = $25.30

meals tax = 8%

Tax = (8/100)* 25.3 =  $2.02

Bill = $25.30 + $2.02

= $27.32

After adding a tip, the total lunch cost was $32.24.

Tip = $32.24. -  $27.32  = $4.92

% of Tip  = (4.92 /  27.32) * 100 =  18 %

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Please help today is my bday and I want to get an A

Answers

The proof of Δ SUE is not an isosceles triangle. is shown below.

What is distance Formula?

If there are two points A(a, b) and B( c, d) then the distance between these two points are

AB= √( c-a )² + ( d-b )²

Given:

S(-2, -4), U(2, -1) and E(8, -9)

Using Distance formula

SU= √( 2 -(-2))² + ( -1-(-4))²

SU = √4²+ 3²

SU = √16+9

SU =5

and, UE = √( 8 -(2))² + ( -9-(-1))²

UE = √6²+ 8²

UE = √36+64

UE =10

and, ES= ( 8 +2 ))² + ( -9+4)²

ES = √10²+ 5²

ES = √100+25

ES = 5√5

As, none of the two sides are equal.

So, Δ SUE is not an isosceles triangle.

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Which equation represents the line that is perpendicular to y = 4 5 ⁢ x + 23 and passes through (-40,20)? A. y = - 5 4 ⁢ x − 15 B. y = - 5 4 ⁢ x − 30 C. y = 4 5 ⁢ x + 52 D. y = 4 5 ⁢ x − 56

Answers

The equation of the required perpendicular line is y = (-5/4)x - 30.

We are given an equation. The equation is linear in nature. The equation represents a straight line. The equation of the given straight line is y = (4/5)x + 23. We need to find the equation of the straight line that is perpendicular to the given line and passes through the point that has coordinates (-40, 20).

The slope of the given line is 45. Let the slope of the required perpendicular line be represented by the variable "m". The slope of the perpendicular line must be the negative reciprocal of the slope of the given line.

m = -1/(4/5)

m = -5/4

The equation of the required line is of the form y = mx + c.

y = (-5/4)x + c

We know that this line passes the point (-40, 20).

20 = (-5/4)(-40) + c

20 = 50 + c

c = -30

Hence, the equation of the required line is y = (-5/4)x - 30.

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how much is 2/5 + 1/2 + 3/4 greater than 1

Answers

Answer:

0.65

Step-by-step explanation:

1.65 is 0.65 greater than 1

A train passes through a 360 m long tunnel completely in 24 seconds. It passes through another tunnel 216 m long completely in 16 seconds at the same average speed. Find the length of the train.​

Answers

The average speed of the train is 18m/sec and the length of the train is 72 m.

let  x represent the length of the train.

and 'S' be the speed of the train.

Given, that the train passes through 360 m long tunnel  completely in 24 sec.

⇒ 360+x/24 = s

⇒ 24s = 360+x ...eq(1)

And also given that it passes through another tunnel 216 m long completely in 16 sec.

⇒ 216+x/24 = s

⇒ 16s = 216 + x .... eq(2)

subtract eq(1) from eq(2)

⇒ 24s = 360 + x

   16s = 216 + x

8s = 144

s = 18 m/sec

length of the train: 24s = 360+x

24(18) = 360+x

432 = 360+x

x = 432-360

x = 72m

Hence the length of the train is 72 m.

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Find the angle x using circle theorem

Answers

Hey there! I explained and wrote everything on paper since it's hard to type so you can view the pic uploaded! Hope it helps, if you have any doubts, please feel free to ask :)

Can someone tell me the answer piz •_•

Answers

The function f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex] end behavior is As, x → infinity , f(x) → - infinity ; as x → - infinity , f(x) → infinity .

Given,

The function is given as:

f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex]

To find the bend behavior of f(x)

Now, According to the question:

Based on the given condition:

Analyze the end behavior of

f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex]

As, x → infinity , f(x) → - infinity ;

as x → - infinity , f(x) → infinity .

Hence, The function f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex] end behavior is As, x → infinity , f(x) → - infinity ; as x → - infinity , f(x) → infinity .

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how many nonnegative integers can be written of the form a7 * 3^7 a2 * 3^6 where ai {1, 0, -1} amc

Answers

The non negative integers can be written of the form is 3281.

Given:

a7 * 3^7 a2 * 3^6 where ai {1, 0, -1}.

ai = 7,6,5,4,3,2,1,0

Total = 8

= [tex]3^{8}[/tex] = 6561

= 6561 - 1 /2

= 6560/2

= 3280 is negative integers

Non negative or positive integers = 6561 - 3280 = 3281

Therefore the non negative integers can be written of the form is 3281.

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Kirk has just moved to Vindale and wants to check out some nearby restaurants. Starting from home, he drives 15 kilometers west, 45 kilometers east, and 75 kilometers west. Which direction must Kirk go to get back to his home?

Answers

Kirk will drive 15 kilometer east  to get back to his home

How to determine the amount Kirk has to drive to get home

The problem will be solved using basic addition operator and subtraction

Let the given information be represented as follows

he drives 15 kilometers west = 15 W

45 kilometers east = 45 E

75 kilometers west = 75 W

Kirk will drive East to get home = ?

since the distances are all in the horizontal direction we add up the west directions and subtract the east direction

15 W + 75 W = 45 E + ?

90 W = 45 E + ?

? = 90 - 45

? = 45 E

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Select the choice that represents the two-variable equation after it has been solved for y in terms of x.
3(y + 2) - 4x = 0

Answers

Answer:

Step-by-step explanation:

3y+6-4x=0

3y-4x=0-6

3y-4x=-6

y-4x=6/3

y-4x=2

y-x=2/4

y-x=0.5

Type the missing number to complete the proportion.

8 minutes for 3 songs =
minutes for 6 songs

Answers

16 for six songs.
3 x 2 = 6
so 8 x 2 = 16
Other Questions
Need on this please 1. The Alps ran along the northern border and protected Rome during the winter months. 6. Use the data below to make a scatter plot in Desmos and find theexponential regression equation. Round to the nearest hundredth ifnecessary. Do not type spaces.Time (years)7. Using your equation from #6, find out how much the Fire Dragonscomic book would be worth in 55 years.Your answer This number line models the division problem 145 .What is the quotient?Enter your answer as a fraction in simplest form by filling in the boxes.$$ what is microworkers An increase of one on the richter scale represents ____ increase in the movement of the earth. Please help. French 2 assignment due today and I have no idea where to start!!! A dealer sold 200 racquets. some were sold at rs 180 each and the rest at rs 330 each. the total receipts from these sales were rs 48000. how many racquests did the dealer sell at rs 180 each? How do you find the Constant of Proportionality in a graph, table or in ordered pairs? a.divide x by xb.divide x by yc.divide y by xd.divide y by k A farmer determined the equation "y = -7/3x + 72.75" best fits his data when comparing the weight, y, in grams, of strawberries to the average daily mean temperature, x, in F, each season. Which statement best describes the rate of change of the equation?(Save me its mental abuse) Witch of the following is a Buddhist belief? - all animals and plants have souls -everything is Brahman or god- one god has three different faces - suffering ends when jealousy, greed, and selfishness stop which of the following conditions is more common in women than in mena. The internal pH of the lysosomes will decrease, which will prevent the activation of hydrolytic enzymes and interfere with the intracellular digestion of foodb. The internal pH of the lysosomes will increase, which will prevent the activation of hydrolytic enzymes and interfere with the intracellular digestion of food.c. The internal pH of the lysosomes will decrease, which will activate hydrolytic enzymes and enhance the intracellular digestion of food.d. The internal pH of the lysosomes will increase, which will activate hydrolytic enzymes and enhance the intracellular digestion of food. Patrick is a 16 year old boy whose body has stopped producing osteoclasts. What does this mean for his bones? What other parts ofhis body will be affected by this? Though dolphins are more closely related to humans than they are to sharks, dolphins and sharks have both evolved bodies adapted to an aquatic environment. This is an example of. which of the following is a difference between heroin and morphine? 1. heroin is more readily absorbed from the stomach than morphine. 2. heroin is a more effective antipyretic medicine than morphine. 3. heroin is believed to be more potent and acts faster than morphine. 4. heroin reduces the inflammation in an injured area more effectively than morphine. What is the slope of a line that is perpendicular to the line y=-3x Mary is shopping for shellfish.she is concerned about avoiding spoiled food.she used several sensory checks to be sure she got the best.what did she choose? Which current member of the u. S. Congress from mississippi is a gulf war veteran who has served in both the marine corps reserve and the army national guard?. stefan is going in for a job interview and realizes he needs to whiten his teeth. he goes to the store and picks out a brand of whitening strips he remembers from an advertisement on television. his level of brand loyalty could be described as . when roger was assessed for his suitability to be a police officer, he was given a 567 item, true/false questionnaire that was used to screen for psychopathology and is typically used for clinical populations. the test he was given is called: