The amount of Danielle's annual scholarship is $14,000.
What is the value of the annual scholarship?
Subtraction is an arithmetic operation that is used to determine the difference between two or more numbers. The sign used to represent subtraction is -.
annual scholarship = annual tuition - annual earning
$26,000 - $12,000 = $14,000
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5 to the power of 7 divided by 5 to the power of minus 2 equals what? As the exponent like 5 to the power of what is the answer?
Answer:
5 to the power of 9
Step-by-step explanation:
You have 5^7 over 5^-2.
The 5^-2 on the bottom can be handled by moving the whole thing UP across the fraction bar. This makes the -2 exponent into a positive 2 exponent.
5^7 / 5^-2
= 5^7• 5^2
Now, to multiply these, ADD the exponents.
5^7•5^2
= 5^9
Please convert this thank you math experts
Answer:
1. 55.5
2. 54.5
Step-by-step explanation:
Use division to convert the fraction to a decimal:
1/4 = 1 ÷ 4 = 0.25
Multiply by 100 to get percent value:
0.25 × 100 = 25%
Answer:
1. 0.56
percentage: 56%
2. 0.55
percentage: 55%
Step-by-step explanation:
5/9 to decimal= 0.56
to percentage multiply by 100
same for the second one
25% of what number is 17 ?
Answer:
it's 68...............
Answer:
68
Step-by-step explanation:
so 25% of x=17
17*4=68
the question says Add.
4/10+8/100 i need help
Answer:
12/25
Step-by-step explanation:
Multiply both the numerator and denominator of each fraction by the number whom makes its denominator equal the LCD.
[tex]\left(\frac{4 \cdot 10}{10 \cdot 10} \right) + \left(\frac{8 \cdot 1}{100 \cdot 1}\right) = \frac{40}{100} + \frac{8}{100}[/tex]
[tex]= \frac{48}{100}[/tex]
Find the new LCD(4).
[tex]\frac{48/4}{100/4} = \frac{12}{25}[/tex]
Solve the system of equations by substitution.
Given equations:
x + y = 15 . . . . . . . . (1)y = 4x . . . . . . . . . . . (2)To find :
value of xvalue of yPut value of y of second equation (i.e y = 4x) in equation one (i.e x + y = 15)
➞ x + y = 15
➞ x + 4x = 15
➞ 5x = 15
Divide both LHS and RHS by 5
➞ (5x)/5 = 15/5
➞ x/1 = 3/1
➞ x = 3
Now put value of x in equation 2
{Note : value of x can be inserted both in equation 1 and 2}
➞ y = 4x
➞ y = 4 × 3
➞y = 12
Verification :
put value of x and y in equation 1 :
x + y = 1512 + 3 = 1515 = 15LHS = RHS
hence verified !
put value of x and y in equation 2 :
y = 4x12 = 4 × 312 = 12LHS = RHS
hence verified !
∴ Value of x and y is 3 and 12 respectedly .
REQUIRED ANSWER :
(x , y) = (3 , 12)
Answer:
(3, 12)
Step-by-step explanation:
Given equations:
Equation 1: x + y = 15Equation 2: y = 4xSubstitute Equation 2 into Equation 1 and solve for x:
⇒ x + 4x = 15
⇒ 5x = 15
⇒ x = 15 ÷ 5
⇒ x = 3
Substitute the found value of x into Equation 2 and solve for y:
⇒ y = 4(3)
⇒ y = 12
Therefore, the solution of the system is (3, 12)
Let f(x) = x² + 7x + 12.
2
Evaluate: f(-3) =
Answer:
f(-3) = 0
Step-by-step explanation:
The question is asking you to evaluate the function when x = -3. Therefore, substitute -3 in for x and simplify.
f(x) = x² + 7x + 12 <---- Original equation
f(-3) = (-3)² + 7(-3) + 12 <---- Substitute -3 for x
f(-3) = 9 + 7(-3) + 12 <---- Square -3
f(-3) = 9 - 21 + 12 <---- Multiply 7 x -3
f(-3) = 0 <---- Combine terms
The strip below is cut into 10 equal bars. Shade 1/2 of this strip.
he Anwar family is planning to build a new home. They have hired 2 different architects to create blueprints for the house. Anderson Architects uses a scale of 1 in. to represent 1.5 feet. Charleston Architects uses a scale of 1.5 inches to represent 1 foot. If each group draws a room that is 12 inches by 12 inches on the plans, what is the difference in size in real life of the two drawings?
The difference in sizes in real life of the two scale drawing is 10 feet.
How to use scale to find the real length?They hired two different architect to create a blueprints for the house.
Anderson Architects uses a scale of 1 in. to represent 1.5 feet.
Therefore,
1 inches = 1.5 feet
Real life size of 12inches by 12 inches
12 inches = ?
size = 12 × 1.5 / 1 = 18 feet
Charleston Architects uses a scale of 1.5 inches to represent 1 foot.
Therefore,
1.5 inches = 1 foot
Hence,
Real life size of 12inches by 12 inches
12 inches = ?
size = 12 / 1.5 = 8 feet
Therefore, the difference in real life is 18 - 8 = 10 feet.
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1. Diego wants to know how many hours students in his high school spend watching
television on school nights. He asks 30 randomly selected students how many hours
they spent watching television last night. The results are shown in the table.
pls help !
Answer:
avg. hour per student is 2.266666667
Step-by-step explanation:
68/30 = 2.266666667
which is the smallest of these fractions: ⅖,½,⅓,¾ and ⅔
Answer: 2/5
Step-by-step explanation;
Drag the tiles to the correct boxes to complete the pairs.
Match each scatter plot with the description of its association.
Each scatter plot with the description of its association are matched as:
Graph A: Positive linear association.Graph B: Positive linear association.What is a scatter plot?A scatter plot refers to a type of graph which is used to graphically represent the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.
The types of association in a scatter plot.Generally, there are four types of association in a scatter plot scatter plot and these include the following:
Positive linear association.Negative linear association.No association (None).None-linear association.In this exercise, we would match each scatter plot with the description of its association as follows:
Graph A: Positive linear association.Graph B: Positive linear association.Graph C: Negative linear association.Graph D: No association.Graph E: Negative linear association.Read more on scatterplot here: brainly.com/question/6592115
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The length of a field is 100 yards and its width is 75 yards. If 1 inch represents 25 yards, what would be the dimensioi
of the field drawn on a sheet of paper?
a. 4 inches by 2 inches
C. 3 inches by 3 inches
b.
4 inches by 3 inches
d.
3 inches by 2 inches
Please select the best answer from the choices provided
Answer:
b. 4 inches by 3inches.
Step-by-step explanation:
Length on the paper = 100/25 = 4 inches
Width on the paper = 75/25 = 3 inches.
Which describes the slope of the line that passes through (-7,3) and (8,5)?
F Zero
G Undefined
H Positive
D Negative
Answer:
Positive
Step-by-step explanation:
As the "y" value of the coordinates increases from 3 to 5, the slope must be positive as the "x" value increases.
Which statement must be true if AJKLAMNP ?
K
A
L
M
O A. ZK 2 N
B. ZJE ZP
C. JK MP
D. JL.MN
Answer:
The answer is a
Step-by-step explanation:
If the triangles are congruent, then angle K will be the same as angle N
The triangles are congruent and the measures of angle ∠K ≅ ∠N
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be ΔJKL
Let the second triangle be ΔMNP
Now , the triangles are congruent
So , ΔJKL ≅ ΔMNP ( given )
And , Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
So , the measures of angles are also similar
Hence , the angles are similar ( ∠K ≅ ∠N )
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The second angle of a triangle is 75 more than the first angle. The third angle is three times the first. Find the three angles.
Answer:
Angle 1= 63°
Angle 2 = 21°
Angle 3 = 96°
This pattern repeats every 5 terms. The pattern is rectangle, pentagon, triangle, square, square. What is the 11th term of this pattern?
a pattern of shapes, rectangle, pentagon, triangle, square, square
Group of answer choices
Triangle
Square
Pentagon
The correct answer would be a square
hkh.vvvvvvvvvvvhhkkhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
what do you need help with
Step-by-step explanation:
The question is in the picture above
Answer:
45 degrees
Step-by-step explanation:
90 - 45 = 45
Each vertex of a quadrilateral is dilated by a factor of 2 about the point Al-4, 7). What will be the effect on the perimeter of the resulting figure?
The perimeter will increase by 4 units
The perimeter will increase by 2 units.
The perimeter will be half as large as the original figure.
The perimeter will be twice as large as the original figure.
It takes Fred 32 minutes to type and spell check 5 pages of a manuscript. Find how long it takes
him to type and spell check 4 pages. Round to the nearest whole number.
Answer:
26
Step-by-step explanation:
[tex]we \: rounded \: it \: to \: the \: nearest \: whole \: number[/tex]
The number of minutes Fred takes to spell check 4 pages will be around 26 minutes.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that,
Spell check 5 pages ⇔ In 32 minutes
Divide by 5 ;
Spell check 1 page ⇔ In 32/5 minutes.
Multiply by 4 ;
Spell check 1 × 4 pages ⇔ In (32/5) × 4 minutes
Spell check 1 × 4 pages ⇔ In 25.6 ≈ 26 minutes.
Hence Spell will take around 26 minutes to spell check 4 pages.
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Radioactive iodine treatment is so successful at treating hyperthyroidism that it has virtually replaced thyroid surgery. To the nearest full day, determine how long it will take for 400 milicuries of -131, which
has a half-life of 8 days, to decay to 3.125 millicuries.
o 7 days
o 8 days
56 days
o 128 days
Answer:
56 days
Explanation:
[tex]\sf Half \ Life : A = A_O \ x \ (\dfrac{1}{2} )^{\dfrac{t}{h} }[/tex]
where A is final amount, Ao is initial amount, t is time taken, h is half life
Here given:
initial amount: 400 millicuries
final amount: 3.125 millicuries
half life: 8 days
time taken: ?
Hence solve for time taken:
[tex]\sf \rightarrow A = A_O \ x \ (\dfrac{1}{2} )^{\dfrac{t}{h} }[/tex]
insert values given
[tex]\sf \rightarrow 3.125 = 400 \ x \ (\dfrac{1}{2} )^{\dfrac{t}{8} }[/tex]
divide both sides by 400
[tex]\sf \rightarrow (\dfrac{1}{2})^{\dfrac{t}{8}}=0.0078125[/tex]
apply exponent rule
[tex]\sf \rightarrow {\dfrac{t}{8}}=\dfrac{ln(0.0078125)}{ln(1/2)}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{t}{8}=7[/tex]
multiply both sides by 8
[tex]\rightarrow \sf t = 56[/tex]
Find the length of side xx in simplest radical form with a rational denominator.
30°
60°
x
4
The value of 'x' with rational denominator =
[tex] \frac{4 \sqrt{3} }{3} [/tex]
Step-by-step explanation:
cos =
[tex] \frac{adjacent \: side}{hypotenuse} [/tex]
cos 30 =
[tex] \frac{ \sqrt{3} }{2} [/tex]
given triangle is a right- angled triangle.
from the triangle,
cost 30 =
[tex] \frac{adjacent \: side}{hypotenuse} \: \: = \: \frac{2}{x} [/tex]
[tex] \frac{ \sqrt{3} }{2} \: = \frac{2}{x} [/tex]
√3x = 4
[tex]x \: = \: \frac{4}{ \sqrt{3} } [/tex]
Rationalising the denominator we get,
x =
[tex] \frac{4}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]
x =
[tex] \frac{4 \sqrt{3} }{3} [/tex]
Therefore, the value of 'x' =
[tex] \frac{4 \sqrt{3} }{3} [/tex]
Ian owns a small business selling used books. He knows that in the last week 122 customers paid cash, 14 customers used a debit card, and 4 customers used a credit card.
The number of customer you expect to pay with a credit card will be 51 customers.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
The expected value will be
E(X) = np
Ian owns a small business selling used books.
He knows that in the last week 122 customers paid cash, 14 customers used a debit card, and 4 customers used a credit card.
If next week, he is expecting 1800 customers.
Then the number of the customer you expect to pay with a credit card will be
n = 1800
The probability of the customer who pays with a credit card will be
p = 4/140
p = 0.02587
Then the expected value will be
E(x) = 1800 x 0.02587
E(x) = 51.42
E(x) ≅ 51
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Which of the following choices represents
a binomial?
9x2 - 7
9x2 + 5x + 7
9x8y
9x
Answer:
A. 9x² - 7
Step-by-step explanation:
» Concepts
A monomial is an expression that consists of only one mathematical term.
A binomial is an expression that consists of only two mathematical terms joined by an addition (+) or subtraction (-) sign.
A polynomial is an expression that consists of three or more mathematical terms joined by an addition (+) or subtraction (-) sign.
» Solution
Given these definition, we can surely determine that A. 9x² - 7 is the correct answer because it's the only answer choice with only two terms. B is a polynomial, and C and D are monomials.
Find the volume of a hexagonal pyramid with base area 36in and height 12in.
Answer:
[tex] {144in}^{3} [/tex]
Step-by-step explanation:
The formula for the volume of a pyramid is
1/3(b*h)
b = base area
h = height
1/3(36*12)
1/3(432)
144
Volume is always cubed, so answer is
[tex] {144in}^{3} [/tex]
Simplify, assume the variable represents a positive real number
The simplification of the given expression [tex]\sqrt{18y^{21}[/tex] will be equal to [tex]3\sqrt{2} (y)^{\dfrac{21}{2}}[/tex]
What is simplification?The process of reducing the complex mathematical expressions into the simplest form is called as the simplification.
The simplification of the given expression will be:
[tex]=\sqrt{18y^{21}}\\\\\\=(18)^{\frac{1}{2} } \times (y)^{\frac{21}{2}}\\\\\\=3\sqrt{2}\times y^{\frac{21}{2}}[/tex]
hence the simplification of the given expression [tex]\sqrt{18y^{21}[/tex] will be equal to [tex]3\sqrt{2} (y)^{\dfrac{21}{2}}[/tex]
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What is one of the most important concepts to remember about multiple non-fiction texts about the same topic?
A. They will always be the same genre
B. They will always written in the same form
C. It does not mean that they will always completely agree
D. They will always agree
Answer:
D. They will always agree
Step-by-step explanation:
Correct me if I'm wrong
what is 3/3 as a ratio?
Answer:
1
Step-by-step explanation:
3:3 = 1
Pls help me
When u click there will be the picture
P.S Very easy I’m just lazy
Answer:
2.192
Step-by-step explanation:
Quadrilaterals
Which answers describe the shape below? Check all that apply.
5
5
5
A. Trapezoid
B. Rectangle.
C rhombus D. Parallelogram E. Quadrilateral F.square
