Which verbal phrasee matches the algebric expression 5 (y+ 6)
5 times the sum of y and 6
In the expression, you have two terms multiplying each other. One term is 5 and the other one is the sum of y and 6.
What word is used if there are no visible clouds in the sky?
Answer:
A sunshower
Step-by-step explanation:
A rectangular field with perimeter of 80m is to have an area of at least 380m² . Describe the possible lengths and of the field.
\(let \: x \: be \: the \: length \\ let \: y \: be \: the \: width\)
\(perimeter = 2x + 2y \\ area = xy\)
\(2x + 2y = 80 \\ xy = 380 \\ \\ x + y = 40 \\ xy = 380 \\ \\ x = 40 - y \\ (40 - y)y = 380 \)
\(40y - y {}^{2} = 380 \\ y {}^{2} - 40y + 380 = 0 \\ y {}^{2} - 40y + 400 = 20 \\ (y - 20) {}^{2} = 20 \\ y - 20 =± \sqrt{20} \\ y_{1}=20-√20≈15.52786\\ y_{2}=20+√20≈24.4721\)
What function has zeros at x=10 and x=2
Answer:
f(x) = x^2 -12x +20
Step-by-step explanation:
There are an infinite number of functions with zeros at those values of x. One simple polynomial function with those zeros is ...
f(x) = (x -10)(x -2) . . . . . each zero contributes a factor
f(x) = x^2 -12x +20
A math teacher's homework grading policy states that a homework assignment turned in late will result in the
grade being reduced by a certain percentage each day that the assignment is late. The teacher creates the
table below to illustrate this policy.
Number of Days Late (1)
Homework Grade, g(t)
0
80
60
1
45
2
Based on the table, write an exponential function in the form y= abt that represents the situation.
y =
An exponential function in the form y= abt that represents the situation.
y = 60.75.
What is correlation coefficient and how to interpret it?Correlation coefficient is a measure of how similar two datasets are acting.
The range of correlation coefficient is [-1, 1]
When the correlation coefficient comes out as -1, it means that both the datasets are negatively oppositely correlated. One data increases, other data starts decreases in the opposite direction.
When the correlation coefficient comes out below 0, values are negatively correlated.
If the correlation coefficient comes out as 0, that means both the data sets are uncorrelated with respect to how we compare them.
When the correlation coefficient comes out > 0, that means both datasets' values are positively correlated.
If correlation coefficient comes out as 1, then the values grow exact similarly, in the same direction.
Given;
y = -0.4x + 98.3
When you increase your homework score by 1 point, you lose 0.4 points on your test.
-0.4x + 98.3 = 74
→ -0.4x = -24.3
→ x = 60.75 ≈ 61
Therefore, the correlation will be y=61.
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Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8. (a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why. (b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%. (c) Calculate point estimates of the population variance and the population standard deviation. (d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error. (e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8
a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why.
The mean can be used as a point estimate for the pull of force.
Using a calculator :
The mean(m) :
Σx /n = 1966/26
= 75.62 pounds
(b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
To obtain this, we calculate the median:
Median = 0.5(n + 1)th term
Median = 0.5(27)th term = 13.5
Take the 13th and 14th term:
(75.1 + 75.3) / 2 = 75.2 pounds
(c) Calculate point estimates of the population variance and the population standard deviation.
Using calculator ; the variance (s²) = 2.73815
The standard deviation (s) = √variance
s = √2.73815 = 1.655
(d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error.
Standard Error = standard deviation / √n
Standard Error = 1.655 / √26
= 0.3245
(e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds
Number of Proportions less than 73 pounds / number of samples
= 1 / 26
= 0.0385
Help me ASAP please and thank you
Answer:
423.12
Step-by-step explanation:
V = π r^2 h
V = 3.14 x 3.5^2 x 11
V = 3.14 x 12.25 x 11
V = 38.465 x 11
V = 423.115
423.115 Simplifyied is 423.12
Have a great day! <3
1) Alexa Corp acquired several assets from Bonsai Corp. for $4,200,000. Assets acquired included a building, a stamping machine, and a forklift. An appraisal of the assets valued the building at $2,400,000, the press at $1,000,000, and the conveyor belt at $600,000. What is the value that will be assigned to each of these assets?
Answer:
Value assigned for Building = $2,520,000
Value assigned for Press = $1,050,000
Value assigned for Conveyor belt = $630,000
Step-by-step explanation:
Total appraisal value = Building + Press + Conveyor belt
Total appraisal value = 2,400,000 + 1,000,000 + 600,000
Total appraisal value = $4,000,000
Value assigned for Building = (2,400,000/4,000,000)*4,200,000
Value assigned for Building = $2,520,000
Value assigned for Press = (1,000,000/4,000,000)*4,200,000
Value assigned for Press = $1,050,000
Value assigned for Conveyor belt = (600,000/4,000,000)*4,200,000
Value assigned for Conveyor belt = $630,000
Find f(0) for the
piece-wise function.
f(x) =
if x ≤ 0
x+1 if x>0
X
f(0) = [?]
\(f(x)=x\) for \(x\leq0\), therfore \(f(0)=0\).
the first domain is true for f(0) so we substitute value of x in the first function
\(f(x) = x \\ f(0) = 0\)
please help due TONIGHT!! GRADED /35
The amount in the bank after 2.5 years will be $241.875.
What is simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. Mathematically -
\($A = P (1 + rt)\)
{A} = final amount
{P} = initial principal balance
{r} = annual interest rate
{t} = time (in years)
Given is the amount deposited by Velvet in a bank for 2.5 years at a rate of 3%.
The amount in the bank after 2.5 years will be -
A = 225(1 + 0.03 x 2.5)
A = 225(1 + 0.075)
A = 225 x 1.075
A = 241.875
Therefore, the amount in the bank after 2.5 years will be $241.875.
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Andrew is showing his work in simplifying (−5.7 + 2.2) − 1.1.
Step 1: (2.2 − 5.7) − 1.1
Step 2: 2.2 − (5.7 + 1.1)
Step 3: 2.2 − (6.8)
Step 4: −4.6
Which statement is true?
In step 1, Andrew used the commutative property.
In step 2, Andrew used the distributive property.
In step 3, Andrew used the associative property.
In step 4, Andrew's answer is incorrect.
Step 2 i believe im not sure tho.
PLEASE HELP. 40 points!!!
3000 gallons of oil are to be transported to a destination 1000 miles away.
The only delivery truck available has a load capacity of 1000 gallons max. Additionally the truck consumes 1 gallon per mile from its load.
What is the maximum gallons of oil that can reach the destination when taking into account the truck consumption?
Answer:
nothing
first ride he take 1000galons and after 1000 miles he consumpted 1000galons so nothing left
The distribution of monthly charges for cellphone plans in the United States is approximately normal with a mean of $62 and a standard deviation of $18. What percentage of plans have charges that are less than $83.60?
About 88.49% of cellphone plans have charges that are less than $83.60.
How to determine the percentage of plans have charges that are less than $83.60?To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.
z = (x – μ) / σ
where x = 83.60, mean, μ = 62 and standard deviation, σ = 18
Thus, the z-score of $83.60 is:
z = (83.60 - 62) / 18 = 1.2
Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).
Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.
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You buy a movie ticket for $5.25 and popcorn for $2.98. You pay with a 10-dollar bill. How much change will you get back?
Answer:
$1.77
Brainliest please?
Step-by-step explanation:
5.25+2.98=8.23
10-8.23=1.77
what is 100% of 1,492?
Answer:
1,492
Step-by-step explanation:
Let y = πx + π. For what value of x is y = π^3?
The value of the variable is; x = π³ - π/π
What are algebraic expressions?Algebraic expressions are described as mathematical expressions that are comprised of variables, factors, constants, terms and coefficients.
These algebraic expressions are also comprised of arithmetic operations, such are; Division
Multiplication, Subtraction, Floor division, Addition, Bracket, Parentheses
From the given information, we have that;
y = π³
y = πx + π
Substitute the values, we have;
π³ = πx + π
Collect like terms
π³ - π = πx
Divide both sides by the coefficient of x
x = π³ - π/π
Thus, the value is x = π³ - π/π
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three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
Determine which expressions represent purely real numbers and which expressions represent non-real complex numbers. \(7 - 5i\)\( - i {}^{2} + i ^{3} \)\( \sqrt{( - 5) ^{2} }\)\(i ^{6} \)\(0 + 9i\)\( \sqrt{ - 6} \)\(2 - {7i}^{2} \)\( - 12\)
We have the next numbers and we need to classify them in purely real numbers and non-real complex numbers.
for
7-5i - it is a non-real complex number because we have an imaginary number
for
\(-i^2+i^3\)we need to reduce the expression above
\(-i^2+i^3=1-i\)as we can see the expression is a non-real complex number because we have an imaginary number.
For
\(\sqrt[]{(-5)^2}\)we need to simplify the expression
\(\sqrt[]{(-5)^2}=5\)as we can see we have purely real number
For
\(i^6=i^2\cdot i^2\cdot i^2=-1\cdot-1\cdot-1=-1\)as we can see we have a purely real number
For
\(0+9i\)we have a non-real complex number
For
\(\sqrt[]{-6}=i\sqrt[]{6}\)if we have inside a square root a negative number the result will be a non-real complex number.
For
\(2-7i^2=2-7(-1)=2+7=9\)as we can see we have a purely real number
for
-12 we have a purely real number
PLS ANSWER DKSKXJ<33
\( \frac{7 + 2x}{3} = 5\)
Answer:
x is 4 I think
Step-by-step explanation:
I'm not sure I might be wrong
Can someone helppp pls
Answer:
It's the first one and the second one.
\(\sqrt{11}, 5, 6\\\\3, 4, 5\)
use the Pythagorean theorem
I WILL GIVE BRAINLY!!! PLEASE ANSWER!
I think it's either A or C but I don't know. Please help me.
Answer:
its A
Step-by-step explanation:
a translation up would just be it moving
however, since the orientation changed, its A
Which number has an 8 that is 1/10 the value of the 8 in 78?
Step-by-step explanation:
Step one:
Firstly we need to determine the place value of 8 in the term 78
in the term, we have 7 tens and 8 units
hence the place value of 8 in 78 is the units
Step two:
Now 1/10 of 8 is given as
0.1*8= 0.8
According to the problem statement, we are expected to find a number that has an 8 that is the same as 0.8.
Say 5.8, 6.8, 9.8
we cannot say exactly, but any number that has an 8 that is one decimal away is an equivalent
Choose all options that apply . Which of the following are steps necessary to ensure patient safety ? a) Make sure that the medication is dispensed in the same units in which it was prescribed. b ) Review any calculation questions with the pharmacist . Check to see if there's a better medication for the patient's problem. d) Dispense an extra dose to save the patient from having to return in case of loss or damage to one of the doses. Oe ) Compare the label on the medication with the order from the physician .
Help? I cannot get my head around it.
Answer:
60cm³
Step-by-step explanation:
y = -1/5(x - 1)3 + 7
Answer:
x = 3 √ 7 + 12 or x = 13.91293118
Step-by-step explanation:
Set ( x − 12 ) 3 − 7 , equal to 0 . ( x − 12 ) 3 − 7 = 0 , Solve for x .
x = 3 √7 + 12
The result can be shown in multiple forms.
Exact Form: x = 3 √ 7 + 12
Decimal Form: x = 13.91293118 …
What is the value of x?
P
80°
x+84°
3x
R
Q
Answer:
x = 49
Step-by-step explanation:
The sum of angles is 360
(x + 84) + 80 + 3x = 360
x + 3x = 360 - 84 - 80
4x = 196
x = 196/4 = 49
a) Using your equation from step 2d, estimate the GPA of a student who studies for 15 hours a
week. Justify your answer.
Answer:
The predicted GPA is then y = 0.149(15) + 0.89 = 3.1
Step-by-step explanation:
Although you don't specifically say so, the equation you provide here is probably a "best fit" equation based upon data: GPA versus the number of hours of study per week.
y = 0.149x + 0.89 and the number of study hours of interest is 15.
d) Suppose you begin making a monthly payment of $75.00. Fill in the table.
Month Current balance
1
2
3
4
5
6
7
8
9
10
11
12
WYPIE
$2750.00
Interest
$45.38
Payment
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
Amount applied to principal
$29.62
Answer:
Step-by-step explanation:
Answer:
For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.
For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.
Point of view:
Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!
:)
Mia has 7 boxes of cherry tarts. Each box has 8 cherry tarts. Explain how to use an open number line to solve.
Use of open number line is
7 boxes of cherry tarts
Each box has 8 cherry tarts.
Total cheny tarts is
\($$7 \times 8=7+7+7+7+7+7+7+7$$\)
A straight line of numbers is shown visually as a number line. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals. On a horizontal number line, the numbers grow as we walk to the right and drop as we move to the left.
A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is said to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers. So, on a number line, we may say that the value of numbers grows as we travel to the right. This indicates that there are more numbers on the right than on the left.
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A bakery sold 76 mocha cupcakes in a day, which was 95% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
The total cupcakes the bakery sell that day is 80
How many total cupcakes did the bakery sell that day?From the question, we have the following parameters that can be used in our computation:
Number of sales = 76
Proportion = 95%
This implies that
Number of sales = Proportion * Total number of cupcakes
Substitute the known values in the above equation, so, we have the following representation
76 = 95% * Total number of cupcakes
Divide both sides by 95%
Total number of cupcakes = 80
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