Mathematics College
Answers
Answer 1
EXPLANATION
Given the equation:
a+23 = 38
Adding -23 to both sides will give us:
a= 38-23
a=15
Answer--> B. 15 because to isolate a, you would subtract 23 from 38.
Related Questions
10 LITUL Practice & Problem Solving X) 5.2.PS-21 Question Help How is the word term used to describe a ratio relationship and in the context of an expression? Choose the correct answer below. O A. The terms of a ratio are the quantities being compared. The terms in an expression are the parts that are separated by plus or minus signs. B. The term of a ratio is the sum of the quantities being compared. The terms in an expression are the parts that are separated by plus or minus signs. OC. The terms of a ratio are the quantities being compared. The terms in an expression are the parts that are separated by multiplication or division signs. OD. The term of a ratio is the sum of the quantities being compared. The terms in an expression are the parts that are separated by multiplication or division signs. Click to select your answer and then click Check Answer. All parts showing Clear All Check Answer Review progress Question 9 of 12 Back Next →
Answers
How is the word term used to describe a ratio relationship and in the context of an expression? Choose the correct answer below.
O A. The terms of a ratio are the quantities being compared. The terms in an expression are the parts that are separated by plus or minus signs.
OB. The term of a ratio is the sum of the quantities being compared. The terms in an expression are the parts that are separated by plus or minus signs.
OC. The terms of a ratio are the quantities being compared. The terms in an expression are the parts that are separated by multiplication or division signs. ( CORRECT)
OD. The term of a ratio is the sum of the quantities being compared. The terms in an expression are the parts that are separated by multiplication or division signs.
1.The average person takes about 30, 000 breaths per day. Express this numberas a single-digit integer times a power of 10.*Your answer
Answers
ANSWER
[tex]\text{3 }\cdot10^4[/tex]
EXPLANATION
We want to express the number as a single-digit integer times a power of 10.
This means that we want to express the number in scientific notation.
The number is 30,000.
We know that the decimal point in 30,000 is located behind the last 0, that is:
30,000.
We will now move that decimal point so that it is at the back of the very first integer which is 3.
The number of times that the decimal point is moved will be the power of 10.
The decimal point is moved 4 times, so it becomes:
[tex]30,000\text{ = 3 }\cdot10^4[/tex]
That is the answer.
whats the inverse of the function f(x)=2/x-1 + 6
Answers
Answer: f(x) = 2x - 12
Step-by-step explanation:
Which of the following theorems verifies that ADEF=ASTU?EAADFA. LLOB. HLOC. LAOD. HA
Answers
Recall that if two right angles have a leg and an angle congruent both triangles are congruent by the Leg-Angle criterion.
Answer: Option C.
julia owns a food truck that sells tacos and burritos. she sells each taco for $3.75 and each burrito for $6 Julia must sell no less than $330 worth of tacos and burritos each day if $42 burritos were sold, determine all possible values for the number of tacos that julia must sell in order to meet the requirements.
Answers
21 tacos at least (x ≥ 20.8)
1) Gathering the data
Taco $3.75 (x)
Burrito $6 (y)
x +y ≥ $330 sales per day
2) Since it's been given the number of burritos that's been sold, let's plug into the first inequality, considering y is for burritos:
3.75x +6(42)≥ 330 sales up to a certain moment
3.75x +252 ≥ 330 Subtract 252 from both sides
3.75x ≥ 78 Divide both sides by 3.75
x ≥ 20.8
3) So to beat the daily goal, and considering that no one buys a fraction of a taco then Julia must sell at least 21 tacos for that day and achieve the goal of selling no less than $330 in tacos and burritos.
The daily cost of hiring an electrician, y, to work x hours on a repair project can be modeled using a linear function. The electrician charges a fixed cost of $90 plus an additional cost of $60 per hour. The electrician works a maximum of 10 hours per day. For one day of work, what is the domain of the function for this situation?D: _ _ _
Answers
we have the following:
[tex]c=90+60\cdot h[/tex]
the domain corresponds to input the input values, that is, the number of hours, therefore, it would be an open interval from 0 to 10 closed:
[tex](0,10\rbrack[/tex]
Type the correct answer in each box. Use numerals instead of words.The function fis given by the table of values shown below.X 0,1,2,3f(x) 0,2,8,26If function fis shifted vertically down by 2 units to obtain function g, complete the table of values which represents function g.
Answers
If the function f is shifted 2 units down, then, the new function g is:
g(x) = f(x) - 2
Then, for the table for g(x) in the given interval, you obtain:
where you have subtracted 2 units to the values of f(x).
which situation can I be represented by the equation x + 10 = 45
Answers
ANSWER
Situation J cannot be represented by the equation
EXPLANATION
It is said in situation J that there are 10 adults in the group and there are 45 students also. This question asks for 'x' that's the total number of students and adults in the group. This equation should be:
[tex]x=10+45[/tex]
Which, if we rewrite it to keep 45 on one side of the equaition and the rest on the other side is:
The size of a population of fish in a pond ismodeled by the function P, where P(t) givesthe number of fish and t gives the numberyears after the first year of introduction of thefish to the pond for 0 < t < 10. The graphof the function P and the line tangent to P att= 4 are shown above. Which of thefollowing gives the best estimate for theinstantaneous rate of change of P at t=4?
Answers
Answer:
The slope of the line joining (3.9, P(3.9)) and (4.1, P(4.1)). Option D is correct.
Explanations:
Instantaneous rate of change is the measure of slope of a curve at a given instant.
From the given diagram, we can see that there is a line drawn tangential to the curve. The x-axis (time) for the slope of the curve must lie within the range of the tangential line.
Sine the range of time for the tangential line is between around t = 3 and t = 5, hence the x-axis for the slope must lie within this range.
From the given option, the only coordinate points that lie within the range is (3.9, P(3.9)) and (4.1, P(4.1))
f(x) = 3x – 9; horizontal stretch by a factor of 6
Answers
Answer:
f(x)=0.5x-9
Explanation:
If we stretch f(x) by a factor of n, we have the following:
[tex]y=f(\frac{1}{n}x)[/tex]
Therefore, stretching f(x) = 3x – 9 horizontally by a factor of 6 gives:
[tex]\begin{gathered} f(x)=3(\frac{1}{6})x-9 \\ f(x)=0.5x-9 \end{gathered}[/tex]
Caden scored 95 on his math quiz but Ms. Crysel subtracted 20% from the score because Kayden did not use pencil. What was Kadens score after Ms.Crysel deducted the 20%
Answers
Data:
Score: 95
Sustracted: 20%
You take the scre 95 as the 100%, then you use a rule of three to know how much Ms. Crysel substracted:
As the 20% is 19, the final score is: 76[tex]95-19=76[/tex]
THoIn the accompanying drawing, ABC is right triangleWhich diagram below shows the image of triangle ABC when rotated 90 counterclockwise about the origin?a133
Answers
A counterclockwise rotation changes the coordinate of a point as,
(x,y)-->(-y, x).
So, the x coordinate becomes negative of y coordinate and the y coordinate becomes x after transformation.
Let (x,y) be the coordinates of B. Initially the vertex B is in first quadrant with positive coordinates (x,y).
The transformation will give a negative value for the new x coordinate of B only in the first transformation
Hence, the first figure is the answer.
suppose that the height (in centimeters) of a candle is a linear function of the amount of time(in hours) it has been burning. after 10 hours of burning, a candle has a height of 17 centimeters. after 23 hours of burning, it's height is 11.8 centimeters. what is the height of the candle after 16 hours.
Answers
We want to know the height of a candle after 16 hours.
We know that the height is a linear function of the amount of time (in hours) it has been burning. This means that we can write it as:
[tex]f(x)[/tex]
where x represents the number of hours burning.
Also, we have that after 10 hours of burning, the candle has a height of 17 centimeters, which means that we can write it as a point of the function:
And after 23 hours of burning its height is 11.8 centimeters, so we can write the second point of the function will be:
[tex](23,11.8)[/tex]
We will find the linear function that describes the height. Using the two points, we will find the slope and the y-intercept.
The slope is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{11.8-17}{23-10}=\frac{-5.2}{13}=-0.4[/tex]
And for the y-intercept, we replace a point on the slope-intercept form, and we clear out the y-intercept.
[tex]\begin{gathered} y=mx+b \\ 17=-0.4(10)+b \\ 17=-4+b \\ 17+4=b \\ 21=b \end{gathered}[/tex]
This means that the y-intercept is 21, and the linear function that describes the height is given by:
[tex]y=-0.4x+21[/tex]
For finding the height of the candle after 16 hours, we replace x by 16, and we obtain:
[tex]\begin{gathered} y=-0.4(16)+21 \\ =-6.4+21 \\ =14.6 \end{gathered}[/tex]
This means that the height of the candle after 16 hours is 14.6 centimeters.
Find the area and the circumference of a circle with diameter 4cm.Write your answers in terms of π, and be sure to include the correct units in your answers.
Answers
Given:
Diameter of a circle is 4cm
Required:
To find the area and circumference of a given circle.
Explanation:
Given that the diameter is 4cm.
Therefore, the radius of the circle is
[tex]\begin{gathered} r=\frac{4}{2} \\ =2cm \end{gathered}[/tex]
The formula for area of a circle is,
[tex]A=\pi r^2[/tex]
Substitute the value of r, we get
[tex]\begin{gathered} A=\pi2^2 \\ =4\pi \end{gathered}[/tex]
The formula for circumference of a circle is,
[tex]\begin{gathered} C=2\pi r \\ =2\times\pi\times2 \\ =4\pi \end{gathered}[/tex]
Final Answer:
Area of a circle,
[tex]A=4\pi[/tex]
Circumference is
[tex]C=4\pi[/tex]
Select the symbols that would make the comparison true2.5 ____ 2.05
Answers
We are told that we want to compare numbers 2.5 and 2.05. That is, we want to check if they are equal, or if any of them is greater than the other. We can easily see that there is a 0 on the number on the right, so they cannot be equal. This means that either the one onf the left is greater or the one on the right. Note that before the decimal point, both of them have 2 units. Then, after the decimal point, the one of the left has the digit 5 and the second one has the digit 0. As 5 is greater than 0, we have that 2.5 is greater than 2.05. So we get that
[tex]2.5>2.05[/tex]
As these two numbers are not equal, we could also write
[tex]2.5\ne2.05[/tex]
As a recap, these are the meaning of each symbol.
The symbol > means "greater than". This symbol expresses that whatever is on the left side of the symbol is greater than whatever is on the right side of the symbol.
The symbol < means "less than" . This symbol expresses that whatever is on the left side of the symbol is less than whatever is on the right side of the symbol.
The sign = means that both quantities that are on each side are equal.
The symbols
[tex]\ge,\leq[/tex]
mean "greater or equal" and "less than or equal" , which are a mix of greater than/less than and equality sign. So, for example, "greater than or equal to" means that either the one on the left is greater than the one on the right or is equal.
Finally, the sign
[tex]\ne[/tex]
means "not equal"
The altitude of a right square prism is of length 12 and its base has a side of length 8. What is the lateral surface area of this prism?A. 384 units²B. 48 units²C. 484 units²D. 192 units²
Answers
SOLUTION:
Step-by-step explanation:
Step 1 :
Well a right square prism's bases are squares meaning the area of the base is 64 units².
Meaning 128 "which is the sum of 64+64" needs to be taken out of the SA to find the LSA.
Step 2 :
Now we only have 4 sides to find the area of,
h = 12
l/w = 8
A = (12*8) * 4
A = 96 * 4
LSA = 384 units²
the sales tax is 48 on the the purchase of a dining room set for 1200 . find the sales tax rate
Answers
Given:
sales tax is 48 and puurchase cost is 1200.
Let x be the sales tax rate.
[tex]48=1200\times\frac{x}{100}[/tex][tex]48=12\times x[/tex][tex]\frac{48}{12}=x[/tex][tex]x=4[/tex]
Therefore, the sales tax rate is 4%.
X * y = 3xy - 2 How do I find 3*5 =?
Answers
Given:
[tex]x*y=3xy-2[/tex]
Required:
Find 3*5
Explanation:
Given that
[tex]x*y=3xy-2[/tex][tex]\begin{gathered} 3*5=3(3)(5)-2 \\ 3*5=45-2 \\ 3*5=43 \end{gathered}[/tex]
Final Answer:
[tex]3*5=43[/tex]
Which sample size will produce the widest 95% confidence interval, given a sample proportion of 0.5?A.80B.60C.70D.50
Answers
Daniel, this is the solution to the problem:
Let's calculate the confidence interval for a sample of 80, as follows:
Z = 1.96 for 95% confidence, therefore:
C.I = (0.5 +/- 1.96 √(0.5 (1 - 0.5)/80)
C.I = 0.5 +/- 0.11
C. I = (0.39, 0.61)
Now, let's do the same calculations for a sample size of 50, this way:
C.I. = (0.5 +/- 1.96 √0.5 (1 - 0.5)/50)
C.I = 0.5 +/- 0.139
C.I = (0.361, 0.639)
Therefore, for a sample size of 80, the wide is 0.22 (0.61 -0.39) and for a sample size of 50, the wide is 0.278 (0.639 - 0.361)
For sample sizes of 60 and 70, the results would be higher than 0.22 but lower than 0.278.
The correct answer is D. 50
Please select either A, B, C, or D at the end.(Info in picture)
Answers
We will ahve that it would have to be rotated in the horizontal line of symmetry, that is where the radius would be 2:
[tex]V=\pi(2)^2(8)\Rightarrow V=32\pi[/tex]
The principal would like to assemble a committee of 11 students from the the 19 member student council. How many different committees can be chosen?
Answers
Answer: 75582 different committees
Explanation
Given
• Committee: 11 students
,
• Member student council: 19 students
Procedure
As the order of choosing is not important, then we can use combinations:
[tex]_nC_r=\frac{n!}{(n-r)!r!}[/tex]
where n is the number of items in a set and r is the number of items selected from the set. Applying the formula to our problem:
• n = ,19
,
• r = 11
Thus, replacing these values and simplifying:
[tex]_{19}C_{11}=\frac{19!}{(19-11)!11!}[/tex][tex]_{19}C_{11}=\frac{19!}{(8)!11!}[/tex][tex]_{19}C_{11}=\frac{19!}{8!\cdot11!}[/tex][tex]_{19}C_{11}=75582[/tex]
1. Which size jar of jelly shown in the table has the lowest unit price? 10 - 1.6616 - 3.1932 - 5.79
Answers
You have to devide size by cost, of all your options
for the first case..
[tex]value=\frac{1.69\text{ \$}}{10\text{ oz}}=\text{ 0.169 }[/tex]
For the second
[tex]\text{value = }\frac{3.19\text{ \$}}{16\text{ oz}}\text{ = 0.199}[/tex]
and thrird
[tex]\text{value = }\frac{5.79\text{ \$}}{32\text{ oz}}=0.181[/tex]
you can solve the division for all of them and get te value for 1 oz of jelly, and we choose the lower one..
the answer is the first one case,
I'm not sure if this becomes stretched or compressed.From what I understand, the graph needs to move 5 units to the right, and 3 units down.
Answers
From this question, the original function (graph) will move 5 units to the left and 3 units down:
In the graph below, we will see the image of the original function (in red) and the new function (in blue)
The correct answer is the third option.
_+_=10.5_-3.25=_find that unknown to match each equation
Answers
We have:
[tex]\begin{gathered} x+y=10.5 \\ x-3.25=y \end{gathered}[/tex]
Then:
[tex]\begin{gathered} x+(x-3.25)=10.5 \\ 2x-3.25=10.5 \\ 2x=10.5+3.25 \\ 2x=13.75 \\ x=\frac{13.75}{2} \\ x=6.875 \end{gathered}[/tex][tex]y=x-3.25=6.875-3.25=3.625[/tex]
The numbers are 6.875 and 3.625.
The histogram below gives the length of service of members of the Department of Biology at a particular university. The classes, in years of service, are 04.9, 59.9, etc., and the vertical axis represents the number of faculty.
What percent of the department faculty have 25 or more years of service?
Answer: ________%
Answers
The percentage of the department faculty that have 25 or more years of service = 48%
What is histogram?
Histogram is defined as the statistical representation of data in a uniform range. From the given diagram, the department faculty in years of service is plotted against the number of faculty.
The department faculty have 25 or more years of service;
= 7+ 11 + 6
= 24
The total number of classes in the department faculty= 7+6+5 +3+5 + 7+ 11 + 6 = 50
Therefore the percentage of the department that have 25 years and above of years of service;
= 24/50 × 100/1
= 2400/50
= 48%
Learn more about percentage here:
https:/brainly.com/question/24304697
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I need a bit of help. I need to solve for x.
Answers
ΔABC and ΔADE are similar, then
[tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]
Replacing with data and solving for x,
[tex]\begin{gathered} \frac{4}{7}=\frac{2}{x} \\ 4\cdot x=7\cdot2 \\ x=\frac{14}{4} \\ x=3.5 \end{gathered}[/tex]
When you add straight down what is the total x value ?
Answers
Answer:
x = -2
y = 3
Explanation:
We are given that:
[tex]\begin{gathered} 4x-2y=-14-----1 \\ -x+2y=8------2 \end{gathered}[/tex]
We will proceed to solve this system of equations as shown below:
[tex]\begin{gathered} 4x-2y=-14-----1 \\ -x+2y=8------2 \\ \text{We will proceed to sum both equations 1 \& 2, we have:} \\ 4x-x=-14+8 \\ 3x=-6 \\ \text{Divide both sides by ''3'', we have:} \\ x=-\frac{6}{3} \\ x=-2 \\ \text{Substitute the value of ''x'' into equation 2, we have:} \\ -(-2)+2y=8 \\ 2+2y=8 \\ \text{Subtract ''2'' from both sides, we have:} \\ 2y=8-2 \\ 2y=6 \\ \text{Divide both sides by ''2'', we have:} \\ y=\frac{6}{2} \\ y=3 \\ \\ \therefore x=-2,y=3 \end{gathered}[/tex]
x = -2, y = 3
Add -38 + 6 +27 (-8) +126
Answers
Answer:
113
Explanation:
Given the below;
[tex]-38+6+27+(-8)+126[/tex]
Using PEMDAS, we'll need to, first of all, clear the parentheses as shown below;
[tex]-38+6+27-8+126[/tex]
So let's go ahead and add from left to right;
[tex]-32+27-8+126=-5-8+126=-13+126=113[/tex]
How many true, real number solutions does the equation n+ 2 = (square root)-16-5n have?
Answers
We are given the equation:
[tex]n+2=\sqrt[]{-16-5n}[/tex]
Squaring both sides:
[tex](n+2)^2=-16-5n[/tex]
Expanding the square:
[tex]n^2+4n+4=-16-5n[/tex]
Moving all terms to the left side:
[tex]\begin{gathered} n^2+4n+4+16+5n=0 \\ \text{Simplifying:} \\ n^2+9n+20=0 \end{gathered}[/tex]
Factoring:
[tex](n+4)(n+5)=0[/tex]
This gives two possible solutions: n = -4 and n = -5.
Some equations, like the ones that have square roots, can produce extraneous solutions that satisfy the last equation, but not the original equation.
So we test both solutions in the original equation:
[tex]\begin{gathered} -4+2=\sqrt[]{-16-5(-4)} \\ \text{Operating:} \\ -2=\sqrt[]{-16+20} \\ -2=2 \end{gathered}[/tex]
This is a false solution because the equation is false.
If we substitute the value x = -5, we get -3 = 3.
It's clear that none of the solutions is true, thus the answer is:
0 solutions
or
NO solutions
consider a block of cheese cut in the shape of a Triangular prism. The front and back faces are isosceles triangles with a base 10 cm and a height of 12cm. The surface area of the block of cheese is 384 cm²
Answers
step 1
Find the thickness of the cheese
so
we know that
the surface area is the area of its two triangular faces plues the area of its three rectangular faces
so
Find the hypotenuse of the isosceles triangle
c^2=5^2+12^2
c^2=25+144
c^2=169
c=13
therefore
SA=2[(1/2)(10(12)]+2[(13)(h)]+10(h)
where
h is the thicknees
SA=384
substitute
384=2[(1/2)(10(12)]+2[(13)(h)]+10(h)
384=120+26h+10h
36h=384-120
36h=264
h=7.33 cm
so
statement A is false
step 2
Find the surface area of the front face
Find the area of the triangular isosceles face
so
A=(1/2)(10(12)
A=60 cm^2
so
statement B is false
step 3
the area of the front face is equal to the area of the back face
so
statement C is false
step 4
The area of the side faces and base is equal to
384-60=324 cm^2
statement D is false
step 5
the longer edhe of each triangular prism side is 13
the statement is true (see step 1)
answer is the longer edhe of each triangular prism side is 13